%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : KLE069+1 : TPTP v9.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.WJqpINyemt true
% Computer : n011.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 04:40:14 PM UTC 2025
% Result : Theorem 15.61s 2.88s
% Output : Refutation 15.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 11
% Syntax : Number of formulae : 49 ( 41 unt; 0 typ; 0 def)
% Number of atoms : 57 ( 45 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 284 ( 11 ~; 7 |; 0 &; 265 @)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 75 ( 0 ^; 75 !; 0 ?; 75 :)
% Comments :
%------------------------------------------------------------------------------
thf(multiplication_type,type,
multiplication: $i > $i > $i ).
thf(sk__1_type,type,
sk__1: $i ).
thf(one_type,type,
one: $i ).
thf(sk__type,type,
sk_: $i ).
thf(addition_type,type,
addition: $i > $i > $i ).
thf(domain_type,type,
domain: $i > $i ).
thf(leq_type,type,
leq: $i > $i > $o ).
thf(goals,conjecture,
! [X0: $i,X1: $i] :
( ( multiplication @ ( domain @ X0 ) @ ( addition @ ( domain @ X0 ) @ ( domain @ X1 ) ) )
= ( domain @ X0 ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [X0: $i,X1: $i] :
( ( multiplication @ ( domain @ X0 ) @ ( addition @ ( domain @ X0 ) @ ( domain @ X1 ) ) )
= ( domain @ X0 ) ),
inference('cnf.neg',[status(esa)],[goals]) ).
thf(zip_derived_cl18,plain,
( ( multiplication @ ( domain @ sk_ ) @ ( addition @ ( domain @ sk_ ) @ ( domain @ sk__1 ) ) )
!= ( domain @ sk_ ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(right_distributivity,axiom,
! [A: $i,B: $i,C: $i] :
( ( multiplication @ A @ ( addition @ B @ C ) )
= ( addition @ ( multiplication @ A @ B ) @ ( multiplication @ A @ C ) ) ) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( multiplication @ X0 @ ( addition @ X1 @ X2 ) )
= ( addition @ ( multiplication @ X0 @ X1 ) @ ( multiplication @ X0 @ X2 ) ) ),
inference(cnf,[status(esa)],[right_distributivity]) ).
thf(zip_derived_cl11515,plain,
( ( addition @ ( multiplication @ ( domain @ sk_ ) @ ( domain @ sk_ ) ) @ ( multiplication @ ( domain @ sk_ ) @ ( domain @ sk__1 ) ) )
!= ( domain @ sk_ ) ),
inference(demod,[status(thm)],[zip_derived_cl18,zip_derived_cl7]) ).
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(domain2,axiom,
! [X0: $i,X1: $i] :
( ( domain @ ( multiplication @ X0 @ X1 ) )
= ( domain @ ( multiplication @ X0 @ ( domain @ X1 ) ) ) ) ).
thf(zip_derived_cl14,plain,
! [X0: $i,X1: $i] :
( ( domain @ ( multiplication @ X0 @ X1 ) )
= ( domain @ ( multiplication @ X0 @ ( domain @ X1 ) ) ) ),
inference(cnf,[status(esa)],[domain2]) ).
thf(zip_derived_cl153,plain,
! [X0: $i] :
( ( domain @ ( multiplication @ one @ X0 ) )
= ( domain @ ( domain @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl6,zip_derived_cl14]) ).
thf(zip_derived_cl6_001,plain,
! [X0: $i] :
( ( multiplication @ one @ X0 )
= X0 ),
inference(cnf,[status(esa)],[multiplicative_left_identity]) ).
thf(zip_derived_cl159,plain,
! [X0: $i] :
( ( domain @ X0 )
= ( domain @ ( domain @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl153,zip_derived_cl6]) ).
thf(order,axiom,
! [A: $i,B: $i] :
( ( leq @ A @ B )
<=> ( ( addition @ A @ B )
= B ) ) ).
thf(zip_derived_cl11,plain,
! [X0: $i,X1: $i] :
( ( ( addition @ X1 @ X0 )
= X0 )
| ~ ( leq @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[order]) ).
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_cl30,plain,
! [X0: $i,X1: $i] :
( ( X0
= ( addition @ X0 @ X1 ) )
| ~ ( leq @ X1 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl11,zip_derived_cl0]) ).
thf(domain1,axiom,
! [X0: $i] :
( ( addition @ X0 @ ( multiplication @ ( domain @ X0 ) @ X0 ) )
= ( multiplication @ ( domain @ X0 ) @ X0 ) ) ).
thf(zip_derived_cl13,plain,
! [X0: $i] :
( ( addition @ X0 @ ( multiplication @ ( domain @ X0 ) @ X0 ) )
= ( multiplication @ ( domain @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[domain1]) ).
thf(zip_derived_cl85,plain,
! [X0: $i] :
( ( X0
= ( multiplication @ ( domain @ X0 ) @ X0 ) )
| ~ ( leq @ ( multiplication @ ( domain @ X0 ) @ X0 ) @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl30,zip_derived_cl13]) ).
thf(zip_derived_cl171,plain,
! [X0: $i] :
( ~ ( leq @ ( multiplication @ ( domain @ X0 ) @ ( domain @ X0 ) ) @ ( domain @ X0 ) )
| ( ( domain @ X0 )
= ( multiplication @ ( domain @ ( domain @ X0 ) ) @ ( domain @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl159,zip_derived_cl85]) ).
thf(zip_derived_cl159_002,plain,
! [X0: $i] :
( ( domain @ X0 )
= ( domain @ ( domain @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl153,zip_derived_cl6]) ).
thf(zip_derived_cl186,plain,
! [X0: $i] :
( ~ ( leq @ ( multiplication @ ( domain @ X0 ) @ ( domain @ X0 ) ) @ ( domain @ X0 ) )
| ( ( domain @ X0 )
= ( multiplication @ ( domain @ X0 ) @ ( domain @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl171,zip_derived_cl159]) ).
thf(domain3,axiom,
! [X0: $i] :
( ( addition @ ( domain @ X0 ) @ one )
= one ) ).
thf(zip_derived_cl15,plain,
! [X0: $i] :
( ( addition @ ( domain @ X0 ) @ one )
= one ),
inference(cnf,[status(esa)],[domain3]) ).
thf(zip_derived_cl0_003,plain,
! [X0: $i,X1: $i] :
( ( addition @ X1 @ X0 )
= ( addition @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[additive_commutativity]) ).
thf(zip_derived_cl49,plain,
! [X0: $i] :
( ( addition @ one @ ( domain @ X0 ) )
= one ),
inference('sup+',[status(thm)],[zip_derived_cl15,zip_derived_cl0]) ).
thf(zip_derived_cl7_004,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( multiplication @ X0 @ ( addition @ X1 @ X2 ) )
= ( addition @ ( multiplication @ X0 @ X1 ) @ ( multiplication @ X0 @ X2 ) ) ),
inference(cnf,[status(esa)],[right_distributivity]) ).
thf(zip_derived_cl11593,plain,
! [X0: $i,X1: $i] :
( ( multiplication @ X1 @ one )
= ( addition @ ( multiplication @ X1 @ one ) @ ( multiplication @ X1 @ ( domain @ X0 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl49,zip_derived_cl7]) ).
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_cl5_005,plain,
! [X0: $i] :
( ( multiplication @ X0 @ one )
= X0 ),
inference(cnf,[status(esa)],[multiplicative_right_identity]) ).
thf(zip_derived_cl11647,plain,
! [X0: $i,X1: $i] :
( X1
= ( addition @ X1 @ ( multiplication @ X1 @ ( domain @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11593,zip_derived_cl5,zip_derived_cl5]) ).
thf(zip_derived_cl0_006,plain,
! [X0: $i,X1: $i] :
( ( addition @ X1 @ X0 )
= ( addition @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[additive_commutativity]) ).
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_cl325,plain,
! [X0: $i,X1: $i] :
( ( addition @ X0 @ ( addition @ X0 @ X1 ) )
= ( addition @ X0 @ X1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl3,zip_derived_cl1]) ).
thf(zip_derived_cl12,plain,
! [X0: $i,X1: $i] :
( ( leq @ X0 @ X1 )
| ( ( addition @ X0 @ X1 )
!= X1 ) ),
inference(cnf,[status(esa)],[order]) ).
thf(zip_derived_cl385,plain,
! [X0: $i,X1: $i] :
( ( ( addition @ X1 @ X0 )
!= ( addition @ X1 @ X0 ) )
| ( leq @ X1 @ ( addition @ X1 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl325,zip_derived_cl12]) ).
thf(zip_derived_cl414,plain,
! [X0: $i,X1: $i] : ( leq @ X1 @ ( addition @ X1 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl385]) ).
thf(zip_derived_cl421,plain,
! [X0: $i,X1: $i] : ( leq @ X0 @ ( addition @ X1 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl414]) ).
thf(zip_derived_cl11855,plain,
! [X0: $i,X1: $i] : ( leq @ ( multiplication @ X0 @ ( domain @ X1 ) ) @ X0 ),
inference('sup+',[status(thm)],[zip_derived_cl11647,zip_derived_cl421]) ).
thf(zip_derived_cl12012,plain,
! [X0: $i] :
( ( domain @ X0 )
= ( multiplication @ ( domain @ X0 ) @ ( domain @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl186,zip_derived_cl11855]) ).
thf(zip_derived_cl11647_007,plain,
! [X0: $i,X1: $i] :
( X1
= ( addition @ X1 @ ( multiplication @ X1 @ ( domain @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11593,zip_derived_cl5,zip_derived_cl5]) ).
thf(zip_derived_cl12104,plain,
( ( domain @ sk_ )
!= ( domain @ sk_ ) ),
inference(demod,[status(thm)],[zip_derived_cl11515,zip_derived_cl12012,zip_derived_cl11647]) ).
thf(zip_derived_cl12105,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl12104]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : KLE069+1 : TPTP v9.2.0. 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.WJqpINyemt true
% 0.13/0.34 % Computer : n011.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 14:00:53 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.55/0.65 % Total configuration time : 435
% 0.55/0.65 % Estimated wc time : 1092
% 0.55/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.73 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 15.61/2.88 % Solved by fo/fo7.sh.
% 15.61/2.88 % done 3836 iterations in 2.098s
% 15.61/2.88 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 15.61/2.88 % SZS output start Refutation
% See solution above
% 15.61/2.88
% 15.61/2.88
% 15.61/2.88 % Terminating...
% 16.26/2.96 % Runner terminated.
% 16.26/2.98 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------