%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : KLE113+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.6YFnAYCDGm true
% Computer : n017.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 04:40:18 PM UTC 2025
% Result : Theorem 0.60s 0.78s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of formulae : 29 ( 29 unt; 0 typ; 0 def)
% Number of atoms : 29 ( 28 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 83 ( 4 ~; 0 |; 0 &; 79 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 21 ( 0 ^; 21 !; 0 ?; 21 :)
% Comments :
%------------------------------------------------------------------------------
thf(multiplication_type,type,
multiplication: $i > $i > $i ).
thf(one_type,type,
one: $i ).
thf(sk__type,type,
sk_: $i ).
thf(addition_type,type,
addition: $i > $i > $i ).
thf(antidomain_type,type,
antidomain: $i > $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(goals,conjecture,
! [X0: $i] :
( ( forward_diamond @ X0 @ zero )
= zero ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [X0: $i] :
( ( forward_diamond @ X0 @ zero )
= zero ),
inference('cnf.neg',[status(esa)],[goals]) ).
thf(zip_derived_cl27,plain,
( ( forward_diamond @ sk_ @ zero )
!= zero ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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(domain4,axiom,
! [X0: $i] :
( ( domain @ X0 )
= ( antidomain @ ( antidomain @ X0 ) ) ) ).
thf(zip_derived_cl16,plain,
! [X0: $i] :
( ( domain @ X0 )
= ( antidomain @ ( antidomain @ X0 ) ) ),
inference(cnf,[status(esa)],[domain4]) ).
thf(zip_derived_cl16_001,plain,
! [X0: $i] :
( ( domain @ X0 )
= ( antidomain @ ( antidomain @ X0 ) ) ),
inference(cnf,[status(esa)],[domain4]) ).
thf(zip_derived_cl55,plain,
! [X0: $i,X1: $i] :
( ( forward_diamond @ X0 @ X1 )
= ( antidomain @ ( antidomain @ ( multiplication @ X0 @ ( antidomain @ ( antidomain @ X1 ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23,zip_derived_cl16,zip_derived_cl16]) ).
thf(zip_derived_cl56,plain,
( ( antidomain @ ( antidomain @ ( multiplication @ sk_ @ ( antidomain @ ( antidomain @ zero ) ) ) ) )
!= zero ),
inference(demod,[status(thm)],[zip_derived_cl27,zip_derived_cl55]) ).
thf(domain1,axiom,
! [X0: $i] :
( ( multiplication @ ( antidomain @ X0 ) @ X0 )
= zero ) ).
thf(zip_derived_cl13,plain,
! [X0: $i] :
( ( multiplication @ ( antidomain @ X0 ) @ X0 )
= zero ),
inference(cnf,[status(esa)],[domain1]) ).
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_cl52,plain,
( zero
= ( antidomain @ one ) ),
inference('sup+',[status(thm)],[zip_derived_cl13,zip_derived_cl5]) ).
thf(domain3,axiom,
! [X0: $i] :
( ( addition @ ( antidomain @ ( antidomain @ X0 ) ) @ ( antidomain @ X0 ) )
= one ) ).
thf(zip_derived_cl15,plain,
! [X0: $i] :
( ( addition @ ( antidomain @ ( antidomain @ X0 ) ) @ ( antidomain @ X0 ) )
= one ),
inference(cnf,[status(esa)],[domain3]) ).
thf(zip_derived_cl85,plain,
( ( addition @ ( antidomain @ ( antidomain @ one ) ) @ zero )
= one ),
inference('sup+',[status(thm)],[zip_derived_cl52,zip_derived_cl15]) ).
thf(zip_derived_cl52_002,plain,
( zero
= ( antidomain @ one ) ),
inference('sup+',[status(thm)],[zip_derived_cl13,zip_derived_cl5]) ).
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_cl87,plain,
( ( antidomain @ zero )
= one ),
inference(demod,[status(thm)],[zip_derived_cl85,zip_derived_cl52,zip_derived_cl2]) ).
thf(zip_derived_cl52_003,plain,
( zero
= ( antidomain @ one ) ),
inference('sup+',[status(thm)],[zip_derived_cl13,zip_derived_cl5]) ).
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(zip_derived_cl87_004,plain,
( ( antidomain @ zero )
= one ),
inference(demod,[status(thm)],[zip_derived_cl85,zip_derived_cl52,zip_derived_cl2]) ).
thf(zip_derived_cl52_005,plain,
( zero
= ( antidomain @ one ) ),
inference('sup+',[status(thm)],[zip_derived_cl13,zip_derived_cl5]) ).
thf(zip_derived_cl117,plain,
zero != zero,
inference(demod,[status(thm)],[zip_derived_cl56,zip_derived_cl87,zip_derived_cl52,zip_derived_cl9,zip_derived_cl87,zip_derived_cl52]) ).
thf(zip_derived_cl118,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl117]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KLE113+1 : TPTP v9.2.0. Released v4.0.0.
% 0.03/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.6YFnAYCDGm true
% 0.14/0.36 % Computer : n017.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Wed Oct 1 13:59:38 EDT 2025
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.37 % Running in FO mode
% 0.59/0.67 % Total configuration time : 435
% 0.59/0.67 % Estimated wc time : 1092
% 0.59/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.60/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.60/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.60/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.60/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.60/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.60/0.78 % Solved by fo/fo3_bce.sh.
% 0.60/0.78 % BCE start: 28
% 0.60/0.78 % BCE eliminated: 2
% 0.60/0.78 % PE start: 26
% 0.60/0.78 logic: eq
% 0.60/0.78 % PE eliminated: 0
% 0.60/0.78 % done 34 iterations in 0.018s
% 0.60/0.78 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.60/0.78 % SZS output start Refutation
% See solution above
% 0.60/0.78
% 0.60/0.78
% 0.60/0.79 % Terminating...
% 1.73/0.88 % Runner terminated.
% 1.73/0.89 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------