%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : KLE129+1 : TPTP v9.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.fLBAbaZHIn true
% Computer : n027.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 Oct 2 04:40:19 PM UTC 2025
% Result : Theorem 0.56s 0.80s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 26 ( 17 unt; 0 typ; 0 def)
% Number of atoms : 37 ( 36 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 187 ( 9 ~; 7 |; 0 &; 167 @)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 30 ( 0 ^; 30 !; 0 ?; 30 :)
% 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(zip_derived_cl27_001,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(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_cl116,plain,
! [X0: $i,X1: $i] :
( ( ( addition @ ( domain @ ( multiplication @ X1 @ ( domain @ X0 ) ) ) @ ( forward_diamond @ sk_ @ ( forward_diamond @ X1 @ X0 ) ) )
!= ( forward_diamond @ sk_ @ ( domain @ ( multiplication @ X1 @ ( domain @ X0 ) ) ) ) )
| ( ( domain @ ( multiplication @ X1 @ ( domain @ X0 ) ) )
= zero ) ),
inference('sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl29]) ).
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_cl23_004,plain,
! [X0: $i,X1: $i] :
( ( forward_diamond @ X0 @ X1 )
= ( domain @ ( multiplication @ X0 @ ( domain @ X1 ) ) ) ),
inference(cnf,[status(esa)],[forward_diamond]) ).
thf(zip_derived_cl122,plain,
! [X0: $i,X1: $i] :
( ( ( addition @ ( forward_diamond @ X1 @ X0 ) @ ( forward_diamond @ sk_ @ ( forward_diamond @ X1 @ X0 ) ) )
!= ( forward_diamond @ sk_ @ ( forward_diamond @ X1 @ X0 ) ) )
| ( ( forward_diamond @ X1 @ X0 )
= zero ) ),
inference(demod,[status(thm)],[zip_derived_cl116,zip_derived_cl23,zip_derived_cl23,zip_derived_cl23]) ).
thf(zip_derived_cl281,plain,
! [X0: $i] :
( ( ( addition @ ( forward_diamond @ X0 @ ( divergence @ X0 ) ) @ ( forward_diamond @ sk_ @ ( divergence @ X0 ) ) )
!= ( forward_diamond @ sk_ @ ( forward_diamond @ X0 @ ( divergence @ X0 ) ) ) )
| ( ( forward_diamond @ X0 @ ( divergence @ X0 ) )
= zero ) ),
inference('sup-',[status(thm)],[zip_derived_cl27,zip_derived_cl122]) ).
thf(zip_derived_cl27_005,plain,
! [X0: $i] :
( ( forward_diamond @ X0 @ ( divergence @ X0 ) )
= ( divergence @ X0 ) ),
inference(cnf,[status(esa)],[divergence1]) ).
thf(zip_derived_cl27_006,plain,
! [X0: $i] :
( ( forward_diamond @ X0 @ ( divergence @ X0 ) )
= ( divergence @ X0 ) ),
inference(cnf,[status(esa)],[divergence1]) ).
thf(zip_derived_cl27_007,plain,
! [X0: $i] :
( ( forward_diamond @ X0 @ ( divergence @ X0 ) )
= ( divergence @ X0 ) ),
inference(cnf,[status(esa)],[divergence1]) ).
thf(zip_derived_cl286,plain,
! [X0: $i] :
( ( ( addition @ ( divergence @ X0 ) @ ( forward_diamond @ sk_ @ ( divergence @ X0 ) ) )
!= ( forward_diamond @ sk_ @ ( divergence @ X0 ) ) )
| ( ( divergence @ X0 )
= zero ) ),
inference(demod,[status(thm)],[zip_derived_cl281,zip_derived_cl27,zip_derived_cl27,zip_derived_cl27]) ).
thf(zip_derived_cl290,plain,
( ( ( addition @ ( divergence @ sk_ ) @ ( divergence @ sk_ ) )
!= ( forward_diamond @ sk_ @ ( divergence @ sk_ ) ) )
| ( ( divergence @ sk_ )
= zero ) ),
inference('sup-',[status(thm)],[zip_derived_cl27,zip_derived_cl286]) ).
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_cl27_008,plain,
! [X0: $i] :
( ( forward_diamond @ X0 @ ( divergence @ X0 ) )
= ( divergence @ X0 ) ),
inference(cnf,[status(esa)],[divergence1]) ).
thf(zip_derived_cl291,plain,
( ( ( divergence @ sk_ )
!= ( divergence @ sk_ ) )
| ( ( divergence @ sk_ )
= zero ) ),
inference(demod,[status(thm)],[zip_derived_cl290,zip_derived_cl3,zip_derived_cl27]) ).
thf(zip_derived_cl292,plain,
( ( divergence @ sk_ )
= zero ),
inference(simplify,[status(thm)],[zip_derived_cl291]) ).
thf(zip_derived_cl30,plain,
( ( divergence @ sk_ )
!= zero ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl293,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl292,zip_derived_cl30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KLE129+1 : TPTP v9.2.0. Released v4.0.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.fLBAbaZHIn true
% 0.13/0.34 % Computer : n027.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 : Wed Oct 1 13:57:23 EDT 2025
% 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
% 0.13/0.34 % Python version: Python 3.6.8
% 0.13/0.34 % Running in FO mode
% 0.54/0.64 % Total configuration time : 435
% 0.54/0.64 % Estimated wc time : 1092
% 0.54/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.56/0.80 % Solved by fo/fo5.sh.
% 0.56/0.80 % done 76 iterations in 0.035s
% 0.56/0.80 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.56/0.80 % SZS output start Refutation
% See solution above
% 0.56/0.80
% 0.56/0.80
% 0.56/0.80 % Terminating...
% 1.62/0.85 % Runner terminated.
% 1.62/0.86 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------