TSTP Solution File: KLE026+1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : KLE026+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.H8PjQt3KIF true
% Computer : n013.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 05:38:22 EDT 2023
% Result : Theorem 1.28s 0.83s
% Output : Refutation 1.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 21
% Syntax : Number of formulae : 47 ( 26 unt; 11 typ; 0 def)
% Number of atoms : 52 ( 33 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 238 ( 9 ~; 5 |; 4 &; 213 @)
% ( 3 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 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 : 51 ( 0 ^; 50 !; 1 ?; 51 :)
% 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(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(goals,conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ( ( test @ X1 )
& ( test @ X2 ) )
=> ( ( ( multiplication @ X1 @ X0 )
= ( multiplication @ ( multiplication @ X1 @ X0 ) @ X2 ) )
=> ( leq @ ( multiplication @ X1 @ X0 ) @ ( multiplication @ X0 @ X2 ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [X0: $i,X1: $i,X2: $i] :
( ( ( test @ X1 )
& ( test @ X2 ) )
=> ( ( ( multiplication @ X1 @ X0 )
= ( multiplication @ ( multiplication @ X1 @ X0 ) @ X2 ) )
=> ( leq @ ( multiplication @ X1 @ X0 ) @ ( multiplication @ X0 @ X2 ) ) ) ),
inference('cnf.neg',[status(esa)],[goals]) ).
thf(zip_derived_cl22,plain,
( ( multiplication @ sk__2 @ sk__1 )
= ( multiplication @ ( multiplication @ sk__2 @ sk__1 ) @ sk__3 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(multiplicative_associativity,axiom,
! [A: $i,B: $i,C: $i] :
( ( multiplication @ A @ ( multiplication @ B @ C ) )
= ( multiplication @ ( multiplication @ A @ B ) @ C ) ) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( multiplication @ X0 @ ( multiplication @ X1 @ X2 ) )
= ( multiplication @ ( multiplication @ X0 @ X1 ) @ X2 ) ),
inference(cnf,[status(esa)],[multiplicative_associativity]) ).
thf(zip_derived_cl150,plain,
( ( multiplication @ sk__2 @ ( multiplication @ sk__1 @ sk__3 ) )
= ( multiplication @ sk__2 @ sk__1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl22,zip_derived_cl4]) ).
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_cl222,plain,
! [X0: $i] :
( ( multiplication @ ( addition @ sk__2 @ X0 ) @ ( multiplication @ sk__1 @ sk__3 ) )
= ( addition @ ( multiplication @ sk__2 @ sk__1 ) @ ( multiplication @ X0 @ ( multiplication @ sk__1 @ sk__3 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl150,zip_derived_cl8]) ).
thf(zip_derived_cl954,plain,
( ( multiplication @ ( addition @ sk__2 @ one ) @ ( multiplication @ sk__1 @ sk__3 ) )
= ( addition @ ( multiplication @ sk__2 @ sk__1 ) @ ( multiplication @ sk__1 @ sk__3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl6,zip_derived_cl222]) ).
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_cl80,plain,
! [X0: $i] :
( ~ ( test @ X0 )
| ( ( addition @ X0 @ ( sk_ @ X0 ) )
= one ) ),
inference('dp-resolution',[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(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_cl123,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_cl362,plain,
! [X0: $i] :
( ~ ( test @ X0 )
| ( ( addition @ X0 @ one )
= one ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl80,zip_derived_cl123]) ).
thf(zip_derived_cl25,plain,
test @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl365,plain,
( ( addition @ sk__2 @ one )
= one ),
inference('s_sup+',[status(thm)],[zip_derived_cl362,zip_derived_cl25]) ).
thf(zip_derived_cl6_001,plain,
! [X0: $i] :
( ( multiplication @ one @ X0 )
= X0 ),
inference(cnf,[status(esa)],[multiplicative_left_identity]) ).
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_cl964,plain,
( ( multiplication @ sk__1 @ sk__3 )
= ( addition @ ( multiplication @ sk__1 @ sk__3 ) @ ( multiplication @ sk__2 @ sk__1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl954,zip_derived_cl365,zip_derived_cl6,zip_derived_cl0]) ).
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_cl23,plain,
~ ( leq @ ( multiplication @ sk__2 @ sk__1 ) @ ( multiplication @ sk__1 @ sk__3 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl65,plain,
( ( addition @ ( multiplication @ sk__2 @ sk__1 ) @ ( multiplication @ sk__1 @ sk__3 ) )
!= ( multiplication @ sk__1 @ sk__3 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl12,zip_derived_cl23]) ).
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_cl136,plain,
( ( addition @ ( multiplication @ sk__1 @ sk__3 ) @ ( multiplication @ sk__2 @ sk__1 ) )
!= ( multiplication @ sk__1 @ sk__3 ) ),
inference(demod,[status(thm)],[zip_derived_cl65,zip_derived_cl0]) ).
thf(zip_derived_cl965,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl964,zip_derived_cl136]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : KLE026+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.H8PjQt3KIF true
% 0.12/0.34 % Computer : n013.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 29 12:14:31 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running portfolio for 300 s
% 0.12/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34 % Number of cores: 8
% 0.12/0.35 % Python version: Python 3.6.8
% 0.12/0.35 % Running in FO mode
% 0.20/0.62 % Total configuration time : 435
% 0.20/0.62 % Estimated wc time : 1092
% 0.20/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.70 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 1.13/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.13/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.13/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.13/0.74 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.13/0.74 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.28/0.83 % Solved by fo/fo6_bce.sh.
% 1.28/0.83 % BCE start: 26
% 1.28/0.83 % BCE eliminated: 1
% 1.28/0.83 % PE start: 25
% 1.28/0.83 logic: eq
% 1.28/0.83 % PE eliminated: 1
% 1.28/0.83 % done 93 iterations in 0.112s
% 1.28/0.83 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.28/0.83 % SZS output start Refutation
% See solution above
% 1.28/0.83
% 1.28/0.83
% 1.28/0.83 % Terminating...
% 1.67/0.94 % Runner terminated.
% 1.67/0.95 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------