%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : KLE002+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.WJKRXhKH8R true
% Computer : n019.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 04:40:03 PM UTC 2025
% Result : Theorem 0.46s 0.72s
% Output : Refutation 0.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 13 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 18 ( 8 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 81 ( 6 ~; 2 |; 0 &; 70 @)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 18 ( 0 ^; 18 !; 0 ?; 18 :)
% Comments :
%------------------------------------------------------------------------------
thf(multiplication_type,type,
multiplication: $i > $i > $i ).
thf(addition_type,type,
addition: $i > $i > $i ).
thf(sk__type,type,
sk_: $i ).
thf(sk__2_type,type,
sk__2: $i ).
thf(sk__1_type,type,
sk__1: $i ).
thf(leq_type,type,
leq: $i > $i > $o ).
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(goals,conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ( leq @ X0 @ X1 )
=> ( leq @ ( multiplication @ X0 @ X2 ) @ ( multiplication @ X1 @ X2 ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [X0: $i,X1: $i,X2: $i] :
( ( leq @ X0 @ X1 )
=> ( leq @ ( multiplication @ X0 @ X2 ) @ ( multiplication @ X1 @ X2 ) ) ),
inference('cnf.neg',[status(esa)],[goals]) ).
thf(zip_derived_cl13,plain,
~ ( leq @ ( multiplication @ sk_ @ sk__2 ) @ ( multiplication @ sk__1 @ sk__2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl28,plain,
( ( addition @ ( multiplication @ sk_ @ sk__2 ) @ ( multiplication @ sk__1 @ sk__2 ) )
!= ( multiplication @ sk__1 @ sk__2 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl12,zip_derived_cl13]) ).
thf(left_distributivity,axiom,
! [A: $i,B: $i,C: $i] :
( ( multiplication @ ( addition @ A @ B ) @ C )
= ( addition @ ( multiplication @ A @ C ) @ ( multiplication @ B @ C ) ) ) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( multiplication @ ( addition @ X0 @ X2 ) @ X1 )
= ( addition @ ( multiplication @ X0 @ X1 ) @ ( multiplication @ X2 @ X1 ) ) ),
inference(cnf,[status(esa)],[left_distributivity]) ).
thf(zip_derived_cl14,plain,
leq @ sk_ @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl11,plain,
! [X0: $i,X1: $i] :
( ( ( addition @ X1 @ X0 )
= X0 )
| ~ ( leq @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[order]) ).
thf(zip_derived_cl29,plain,
( ( addition @ sk_ @ sk__1 )
= sk__1 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl14,zip_derived_cl11]) ).
thf(zip_derived_cl92,plain,
( ( multiplication @ sk__1 @ sk__2 )
!= ( multiplication @ sk__1 @ sk__2 ) ),
inference(demod,[status(thm)],[zip_derived_cl28,zip_derived_cl8,zip_derived_cl29]) ).
thf(zip_derived_cl93,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl92]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : KLE002+1 : TPTP v9.2.0. Released v4.0.0.
% 0.06/0.11 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.WJKRXhKH8R true
% 0.10/0.32 % Computer : n019.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Wed Oct 1 13:57:23 EDT 2025
% 0.10/0.32 % CPUTime :
% 0.10/0.32 % Running portfolio for 300 s
% 0.10/0.32 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.32 % Number of cores: 8
% 0.10/0.32 % Python version: Python 3.6.8
% 0.10/0.32 % Running in FO mode
% 0.43/0.57 % Total configuration time : 435
% 0.43/0.57 % Estimated wc time : 1092
% 0.43/0.57 % Estimated cpu time (7 cpus) : 156.0
% 0.46/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.46/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.46/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.46/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.46/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.46/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.46/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.46/0.72 % Solved by fo/fo6_bce.sh.
% 0.46/0.72 % BCE start: 15
% 0.46/0.72 % BCE eliminated: 0
% 0.46/0.72 % PE start: 15
% 0.46/0.72 logic: eq
% 0.46/0.72 % PE eliminated: 1
% 0.46/0.72 % done 17 iterations in 0.025s
% 0.46/0.72 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.46/0.72 % SZS output start Refutation
% See solution above
% 0.46/0.72
% 0.46/0.72
% 0.46/0.72 % Terminating...
% 0.52/0.79 % Runner terminated.
% 0.52/0.80 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------