TSTP Solution File: KLE129+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : KLE129+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.11E1BTRg6T true
% Computer : n022.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 05:38:44 EDT 2023
% Result : Theorem 1.17s 0.79s
% Output : Refutation 1.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 11
% Syntax : Number of formulae : 27 ( 13 unt; 7 typ; 0 def)
% Number of atoms : 29 ( 28 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 135 ( 7 ~; 5 |; 0 &; 119 @)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 21 ( 0 ^; 21 !; 0 ?; 21 :)
% Comments :
%------------------------------------------------------------------------------
thf(multiplication_type,type,
multiplication: $i > $i > $i ).
thf(addition_type,type,
addition: $i > $i > $i ).
thf(divergence_type,type,
divergence: $i > $i ).
thf(sk__type,type,
sk_: $i ).
thf(forward_diamond_type,type,
forward_diamond: $i > $i > $i ).
thf(domain_type,type,
domain: $i > $i ).
thf(zero_type,type,
zero: $i ).
thf(divergence1,axiom,
! [X0: $i] :
( ( forward_diamond @ X0 @ ( divergence @ X0 ) )
= ( divergence @ X0 ) ) ).
thf(zip_derived_cl27,plain,
! [X0: $i] :
( ( forward_diamond @ X0 @ ( divergence @ X0 ) )
= ( divergence @ X0 ) ),
inference(cnf,[status(esa)],[divergence1]) ).
thf(forward_diamond,axiom,
! [X0: $i,X1: $i] :
( ( forward_diamond @ X0 @ X1 )
= ( domain @ ( multiplication @ X0 @ ( domain @ X1 ) ) ) ) ).
thf(zip_derived_cl23,plain,
! [X0: $i,X1: $i] :
( ( forward_diamond @ X0 @ X1 )
= ( domain @ ( multiplication @ X0 @ ( domain @ X1 ) ) ) ),
inference(cnf,[status(esa)],[forward_diamond]) ).
thf(zip_derived_cl238,plain,
! [X0: $i] :
( ( divergence @ X0 )
= ( domain @ ( multiplication @ X0 @ ( domain @ ( divergence @ X0 ) ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl27,zip_derived_cl23]) ).
thf(zip_derived_cl238_001,plain,
! [X0: $i] :
( ( divergence @ X0 )
= ( domain @ ( multiplication @ X0 @ ( domain @ ( divergence @ X0 ) ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl27,zip_derived_cl23]) ).
thf(goals,conjecture,
! [X0: $i] :
( ! [X1: $i] :
( ( ( addition @ ( domain @ X1 ) @ ( forward_diamond @ X0 @ ( domain @ X1 ) ) )
= ( forward_diamond @ X0 @ ( domain @ X1 ) ) )
=> ( ( domain @ X1 )
= zero ) )
=> ( ( divergence @ X0 )
= zero ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [X0: $i] :
( ! [X1: $i] :
( ( ( addition @ ( domain @ X1 ) @ ( forward_diamond @ X0 @ ( domain @ X1 ) ) )
= ( forward_diamond @ X0 @ ( domain @ X1 ) ) )
=> ( ( domain @ X1 )
= zero ) )
=> ( ( divergence @ X0 )
= zero ) ),
inference('cnf.neg',[status(esa)],[goals]) ).
thf(zip_derived_cl29,plain,
! [X0: $i] :
( ( ( domain @ X0 )
= zero )
| ( ( addition @ ( domain @ X0 ) @ ( forward_diamond @ sk_ @ ( domain @ X0 ) ) )
!= ( forward_diamond @ sk_ @ ( domain @ X0 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl23_002,plain,
! [X0: $i,X1: $i] :
( ( forward_diamond @ X0 @ X1 )
= ( domain @ ( multiplication @ X0 @ ( domain @ X1 ) ) ) ),
inference(cnf,[status(esa)],[forward_diamond]) ).
thf(zip_derived_cl23_003,plain,
! [X0: $i,X1: $i] :
( ( forward_diamond @ X0 @ X1 )
= ( domain @ ( multiplication @ X0 @ ( domain @ X1 ) ) ) ),
inference(cnf,[status(esa)],[forward_diamond]) ).
thf(zip_derived_cl359,plain,
! [X0: $i] :
( ( ( domain @ X0 )
= zero )
| ( ( addition @ ( domain @ X0 ) @ ( domain @ ( multiplication @ sk_ @ ( domain @ ( domain @ X0 ) ) ) ) )
!= ( domain @ ( multiplication @ sk_ @ ( domain @ ( domain @ X0 ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29,zip_derived_cl23,zip_derived_cl23]) ).
thf(zip_derived_cl362,plain,
! [X0: $i] :
( ( ( divergence @ X0 )
= zero )
| ( ( addition @ ( divergence @ X0 ) @ ( domain @ ( multiplication @ sk_ @ ( domain @ ( divergence @ X0 ) ) ) ) )
!= ( domain @ ( multiplication @ sk_ @ ( domain @ ( divergence @ X0 ) ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl238,zip_derived_cl359]) ).
thf(zip_derived_cl383,plain,
( ( ( divergence @ sk_ )
= zero )
| ( ( addition @ ( divergence @ sk_ ) @ ( divergence @ sk_ ) )
!= ( divergence @ sk_ ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl238,zip_derived_cl362]) ).
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_cl386,plain,
( ( ( divergence @ sk_ )
= zero )
| ( ( divergence @ sk_ )
!= ( divergence @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl383,zip_derived_cl3]) ).
thf(zip_derived_cl387,plain,
( ( divergence @ sk_ )
= zero ),
inference(simplify,[status(thm)],[zip_derived_cl386]) ).
thf(zip_derived_cl30,plain,
( ( divergence @ sk_ )
!= zero ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl388,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl387,zip_derived_cl30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : KLE129+1 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.11E1BTRg6T true
% 0.13/0.35 % Computer : n022.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 29 11:20:54 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.21/0.68 % Total configuration time : 435
% 0.21/0.68 % Estimated wc time : 1092
% 0.21/0.68 % Estimated cpu time (7 cpus) : 156.0
% 0.71/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 1.17/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 1.17/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.17/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.17/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.17/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.17/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.17/0.79 % Solved by fo/fo6_bce.sh.
% 1.17/0.79 % BCE start: 31
% 1.17/0.79 % BCE eliminated: 2
% 1.17/0.79 % PE start: 29
% 1.17/0.79 logic: eq
% 1.17/0.79 % PE eliminated: 0
% 1.17/0.79 % done 71 iterations in 0.053s
% 1.17/0.79 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.17/0.79 % SZS output start Refutation
% See solution above
% 1.17/0.79
% 1.17/0.79
% 1.17/0.79 % Terminating...
% 1.55/0.87 % Runner terminated.
% 1.55/0.88 % Zipperpin 1.5 exiting
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