%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : KLE131+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.KVDhd8bssb 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 Oct 2 04:40:19 PM UTC 2025
% Result : Theorem 0.59s 0.89s
% Output : Refutation 0.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 13
% Syntax : Number of formulae : 71 ( 65 unt; 0 typ; 0 def)
% Number of atoms : 77 ( 65 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 381 ( 5 ~; 3 |; 0 &; 370 @)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 13 usr; 4 con; 0-2 aty)
% Number of variables : 72 ( 0 ^; 72 !; 0 ?; 72 :)
% Comments :
%------------------------------------------------------------------------------
thf(multiplication_type,type,
multiplication: $i > $i > $i ).
thf(one_type,type,
one: $i ).
thf(addition_type,type,
addition: $i > $i > $i ).
thf(antidomain_type,type,
antidomain: $i > $i ).
thf(divergence_type,type,
divergence: $i > $i ).
thf(star_type,type,
star: $i > $i ).
thf(c_type,type,
c: $i > $i ).
thf(sk__type,type,
sk_: $i ).
thf(forward_diamond_type,type,
forward_diamond: $i > $i > $i ).
thf(leq_type,type,
leq: $i > $i > $o ).
thf(domain_type,type,
domain: $i > $i ).
thf(zero_type,type,
zero: $i ).
thf(domain_difference_type,type,
domain_difference: $i > $i > $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 @ ( star @ X0 ) @ ( domain_difference @ ( domain @ X1 ) @ ( forward_diamond @ X0 @ ( domain @ X1 ) ) ) ) )
= ( forward_diamond @ ( star @ X0 ) @ ( domain_difference @ ( domain @ X1 ) @ ( forward_diamond @ X0 @ ( domain @ X1 ) ) ) ) )
=> ( ( divergence @ X0 )
= zero ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [X0: $i] :
( ! [X1: $i] :
( ( addition @ ( domain @ X1 ) @ ( forward_diamond @ ( star @ X0 ) @ ( domain_difference @ ( domain @ X1 ) @ ( forward_diamond @ X0 @ ( domain @ X1 ) ) ) ) )
= ( forward_diamond @ ( star @ X0 ) @ ( domain_difference @ ( domain @ X1 ) @ ( forward_diamond @ X0 @ ( domain @ X1 ) ) ) ) )
=> ( ( divergence @ X0 )
= zero ) ),
inference('cnf.neg',[status(esa)],[goals]) ).
thf(zip_derived_cl29,plain,
! [X0: $i] :
( ( addition @ ( domain @ X0 ) @ ( forward_diamond @ ( star @ sk_ ) @ ( domain_difference @ ( domain @ X0 ) @ ( forward_diamond @ sk_ @ ( domain @ X0 ) ) ) ) )
= ( forward_diamond @ ( star @ sk_ ) @ ( domain_difference @ ( domain @ X0 ) @ ( forward_diamond @ sk_ @ ( domain @ X0 ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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_cl262,plain,
! [X0: $i] :
( ( ( forward_diamond @ ( star @ sk_ ) @ ( domain_difference @ ( domain @ X0 ) @ ( forward_diamond @ sk_ @ ( domain @ X0 ) ) ) )
!= ( forward_diamond @ ( star @ sk_ ) @ ( domain_difference @ ( domain @ X0 ) @ ( forward_diamond @ sk_ @ ( domain @ X0 ) ) ) ) )
| ( leq @ ( domain @ X0 ) @ ( forward_diamond @ ( star @ sk_ ) @ ( domain_difference @ ( domain @ X0 ) @ ( forward_diamond @ sk_ @ ( domain @ X0 ) ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl29,zip_derived_cl12]) ).
thf(zip_derived_cl287,plain,
! [X0: $i] : ( leq @ ( domain @ X0 ) @ ( forward_diamond @ ( star @ sk_ ) @ ( domain_difference @ ( domain @ X0 ) @ ( forward_diamond @ sk_ @ ( domain @ X0 ) ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl262]) ).
thf(zip_derived_cl290,plain,
! [X0: $i,X1: $i] : ( leq @ ( domain @ ( multiplication @ X1 @ ( domain @ X0 ) ) ) @ ( forward_diamond @ ( star @ sk_ ) @ ( domain_difference @ ( domain @ ( multiplication @ X1 @ ( domain @ X0 ) ) ) @ ( forward_diamond @ sk_ @ ( forward_diamond @ X1 @ X0 ) ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl23,zip_derived_cl287]) ).
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_cl302,plain,
! [X0: $i,X1: $i] : ( leq @ ( forward_diamond @ X1 @ X0 ) @ ( forward_diamond @ ( star @ sk_ ) @ ( domain_difference @ ( forward_diamond @ X1 @ X0 ) @ ( forward_diamond @ sk_ @ ( forward_diamond @ X1 @ X0 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl290,zip_derived_cl23,zip_derived_cl23]) ).
thf(zip_derived_cl461,plain,
! [X0: $i] : ( leq @ ( forward_diamond @ X0 @ ( divergence @ X0 ) ) @ ( forward_diamond @ ( star @ sk_ ) @ ( domain_difference @ ( forward_diamond @ X0 @ ( divergence @ X0 ) ) @ ( forward_diamond @ sk_ @ ( divergence @ X0 ) ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl27,zip_derived_cl302]) ).
thf(zip_derived_cl27_004,plain,
! [X0: $i] :
( ( forward_diamond @ X0 @ ( divergence @ X0 ) )
= ( divergence @ X0 ) ),
inference(cnf,[status(esa)],[divergence1]) ).
thf(zip_derived_cl27_005,plain,
! [X0: $i] :
( ( forward_diamond @ X0 @ ( divergence @ X0 ) )
= ( divergence @ X0 ) ),
inference(cnf,[status(esa)],[divergence1]) ).
thf(zip_derived_cl470,plain,
! [X0: $i] : ( leq @ ( divergence @ X0 ) @ ( forward_diamond @ ( star @ sk_ ) @ ( domain_difference @ ( divergence @ X0 ) @ ( forward_diamond @ sk_ @ ( divergence @ X0 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl461,zip_derived_cl27,zip_derived_cl27]) ).
thf(zip_derived_cl479,plain,
leq @ ( divergence @ sk_ ) @ ( forward_diamond @ ( star @ sk_ ) @ ( domain_difference @ ( divergence @ sk_ ) @ ( divergence @ sk_ ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl27,zip_derived_cl470]) ).
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(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(zip_derived_cl54,plain,
! [X0: $i] :
( ( multiplication @ ( domain @ X0 ) @ ( antidomain @ X0 ) )
= zero ),
inference('sup+',[status(thm)],[zip_derived_cl16,zip_derived_cl13]) ).
thf(domain_difference,axiom,
! [X0: $i,X1: $i] :
( ( domain_difference @ X0 @ X1 )
= ( multiplication @ ( domain @ X0 ) @ ( antidomain @ X1 ) ) ) ).
thf(zip_derived_cl22,plain,
! [X0: $i,X1: $i] :
( ( domain_difference @ X0 @ X1 )
= ( multiplication @ ( domain @ X0 ) @ ( antidomain @ X1 ) ) ),
inference(cnf,[status(esa)],[domain_difference]) ).
thf(zip_derived_cl716,plain,
! [X0: $i] :
( ( domain_difference @ X0 @ X0 )
= zero ),
inference('sup+',[status(thm)],[zip_derived_cl54,zip_derived_cl22]) ).
thf(zip_derived_cl13_006,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_cl53,plain,
( zero
= ( antidomain @ one ) ),
inference('sup+',[status(thm)],[zip_derived_cl13,zip_derived_cl5]) ).
thf(zip_derived_cl16_007,plain,
! [X0: $i] :
( ( domain @ X0 )
= ( antidomain @ ( antidomain @ X0 ) ) ),
inference(cnf,[status(esa)],[domain4]) ).
thf(zip_derived_cl16_008,plain,
! [X0: $i] :
( ( domain @ X0 )
= ( antidomain @ ( antidomain @ X0 ) ) ),
inference(cnf,[status(esa)],[domain4]) ).
thf(zip_derived_cl31,plain,
! [X0: $i] :
( ( domain @ ( antidomain @ X0 ) )
= ( antidomain @ ( domain @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl16,zip_derived_cl16]) ).
thf(complement,axiom,
! [X0: $i] :
( ( c @ X0 )
= ( antidomain @ ( domain @ X0 ) ) ) ).
thf(zip_derived_cl21,plain,
! [X0: $i] :
( ( c @ X0 )
= ( antidomain @ ( domain @ X0 ) ) ),
inference(cnf,[status(esa)],[complement]) ).
thf(zip_derived_cl42,plain,
! [X0: $i] :
( ( domain @ ( antidomain @ X0 ) )
= ( c @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl31,zip_derived_cl21]) ).
thf(zip_derived_cl67,plain,
( ( domain @ zero )
= ( c @ one ) ),
inference('sup+',[status(thm)],[zip_derived_cl53,zip_derived_cl42]) ).
thf(zip_derived_cl53_009,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_cl16_010,plain,
! [X0: $i] :
( ( domain @ X0 )
= ( antidomain @ ( antidomain @ X0 ) ) ),
inference(cnf,[status(esa)],[domain4]) ).
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_cl58,plain,
! [X0: $i] :
( ( addition @ ( antidomain @ X0 ) @ ( domain @ X0 ) )
= one ),
inference(demod,[status(thm)],[zip_derived_cl15,zip_derived_cl16,zip_derived_cl0]) ).
thf(zip_derived_cl68,plain,
( ( addition @ zero @ ( domain @ one ) )
= one ),
inference('sup+',[status(thm)],[zip_derived_cl53,zip_derived_cl58]) ).
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_cl0_011,plain,
! [X0: $i,X1: $i] :
( ( addition @ X1 @ X0 )
= ( addition @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[additive_commutativity]) ).
thf(zip_derived_cl37,plain,
! [X0: $i] :
( X0
= ( addition @ zero @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl0]) ).
thf(zip_derived_cl162,plain,
( ( domain @ one )
= one ),
inference('sup+',[status(thm)],[zip_derived_cl68,zip_derived_cl37]) ).
thf(zip_derived_cl21_012,plain,
! [X0: $i] :
( ( c @ X0 )
= ( antidomain @ ( domain @ X0 ) ) ),
inference(cnf,[status(esa)],[complement]) ).
thf(zip_derived_cl165,plain,
( ( c @ one )
= ( antidomain @ one ) ),
inference('sup+',[status(thm)],[zip_derived_cl162,zip_derived_cl21]) ).
thf(zip_derived_cl53_013,plain,
( zero
= ( antidomain @ one ) ),
inference('sup+',[status(thm)],[zip_derived_cl13,zip_derived_cl5]) ).
thf(zip_derived_cl169,plain,
( ( c @ one )
= zero ),
inference(demod,[status(thm)],[zip_derived_cl165,zip_derived_cl53]) ).
thf(zip_derived_cl182,plain,
( ( domain @ zero )
= zero ),
inference(demod,[status(thm)],[zip_derived_cl67,zip_derived_cl169]) ).
thf(zip_derived_cl23_014,plain,
! [X0: $i,X1: $i] :
( ( forward_diamond @ X0 @ X1 )
= ( domain @ ( multiplication @ X0 @ ( domain @ X1 ) ) ) ),
inference(cnf,[status(esa)],[forward_diamond]) ).
thf(zip_derived_cl188,plain,
! [X0: $i] :
( ( forward_diamond @ X0 @ zero )
= ( domain @ ( multiplication @ X0 @ zero ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl182,zip_derived_cl23]) ).
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_cl182_015,plain,
( ( domain @ zero )
= zero ),
inference(demod,[status(thm)],[zip_derived_cl67,zip_derived_cl169]) ).
thf(zip_derived_cl192,plain,
! [X0: $i] :
( ( forward_diamond @ X0 @ zero )
= zero ),
inference(demod,[status(thm)],[zip_derived_cl188,zip_derived_cl9,zip_derived_cl182]) ).
thf(zip_derived_cl742,plain,
leq @ ( divergence @ sk_ ) @ zero,
inference(demod,[status(thm)],[zip_derived_cl479,zip_derived_cl716,zip_derived_cl192]) ).
thf(zip_derived_cl11,plain,
! [X0: $i,X1: $i] :
( ( ( addition @ X1 @ X0 )
= X0 )
| ~ ( leq @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[order]) ).
thf(zip_derived_cl745,plain,
( ( addition @ ( divergence @ sk_ ) @ zero )
= zero ),
inference('sup-',[status(thm)],[zip_derived_cl742,zip_derived_cl11]) ).
thf(zip_derived_cl2_016,plain,
! [X0: $i] :
( ( addition @ X0 @ zero )
= X0 ),
inference(cnf,[status(esa)],[additive_identity]) ).
thf(zip_derived_cl751,plain,
( zero
= ( divergence @ sk_ ) ),
inference('sup+',[status(thm)],[zip_derived_cl745,zip_derived_cl2]) ).
thf(zip_derived_cl30,plain,
( ( divergence @ sk_ )
!= zero ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl754,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl751,zip_derived_cl30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KLE131+1 : TPTP v9.2.0. Released v4.0.0.
% 0.12/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.KVDhd8bssb true
% 0.14/0.36 % Computer : n026.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 14:05:08 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
% 0.14/0.37 % Python version: Python 3.6.8
% 0.14/0.37 % Running in FO mode
% 0.58/0.66 % Total configuration time : 435
% 0.58/0.66 % Estimated wc time : 1092
% 0.58/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.58/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.58/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.59/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.59/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.59/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.59/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.59/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.59/0.89 % Solved by fo/fo5.sh.
% 0.59/0.89 % done 145 iterations in 0.078s
% 0.59/0.89 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.59/0.89 % SZS output start Refutation
% See solution above
% 0.59/0.89
% 0.59/0.89
% 0.59/0.89 % Terminating...
% 0.64/0.97 % Runner terminated.
% 0.64/0.98 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------