%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM801^1 : TPTP v9.2.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.qY4xZ2I6nW true
% Computer : n023.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 04:48:24 PM UTC 2025
% Result : Theorem 0.82s 0.69s
% Output : Refutation 0.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 10
% Syntax : Number of formulae : 17 ( 17 unt; 0 typ; 0 def)
% Number of atoms : 17 ( 16 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 117 ( 2 ~; 0 |; 0 &; 115 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 74 ( 74 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 6 usr; 1 con; 0-4 aty)
% Number of variables : 51 ( 39 ^; 6 !; 6 ?; 51 :)
% Comments :
%------------------------------------------------------------------------------
thf(mult_type,type,
mult: ( ( $i > $i ) > $i > $i ) > ( ( $i > $i ) > $i > $i ) > ( $i > $i ) > $i > $i ).
thf(four_type,type,
four: ( $i > $i ) > $i > $i ).
thf(sk__type,type,
sk_: ( ( $i > $i ) > $i > $i ) > ( ( $i > $i ) > $i > $i ) > $i > $i ).
thf(five_type,type,
five: ( $i > $i ) > $i > $i ).
thf(sk__1_type,type,
sk__1: ( ( $i > $i ) > $i > $i ) > ( ( $i > $i ) > $i > $i ) > $i ).
thf(plus_type,type,
plus: ( ( $i > $i ) > $i > $i ) > ( ( $i > $i ) > $i > $i ) > ( $i > $i ) > $i > $i ).
thf(mult_ax,axiom,
( mult
= ( ^ [M: ( $i > $i ) > $i > $i,N: ( $i > $i ) > $i > $i,X: $i > $i,Y: $i] : ( M @ ( N @ X ) @ Y ) ) ) ).
thf('0',plain,
( mult
= ( ^ [M: ( $i > $i ) > $i > $i,N: ( $i > $i ) > $i > $i,X: $i > $i,Y: $i] : ( M @ ( N @ X ) @ Y ) ) ),
inference(simplify_rw_rule,[status(thm)],[mult_ax]) ).
thf('1',plain,
( mult
= ( ^ [V_1: ( $i > $i ) > $i > $i,V_2: ( $i > $i ) > $i > $i,V_3: $i > $i,V_4: $i] : ( V_1 @ ( V_2 @ V_3 ) @ V_4 ) ) ),
define([status(thm)]) ).
thf(plus_ax,axiom,
( plus
= ( ^ [M: ( $i > $i ) > $i > $i,N: ( $i > $i ) > $i > $i,X: $i > $i,Y: $i] : ( M @ X @ ( N @ X @ Y ) ) ) ) ).
thf('2',plain,
( plus
= ( ^ [M: ( $i > $i ) > $i > $i,N: ( $i > $i ) > $i > $i,X: $i > $i,Y: $i] : ( M @ X @ ( N @ X @ Y ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[plus_ax]) ).
thf('3',plain,
( plus
= ( ^ [V_1: ( $i > $i ) > $i > $i,V_2: ( $i > $i ) > $i > $i,V_3: $i > $i,V_4: $i] : ( V_1 @ V_3 @ ( V_2 @ V_3 @ V_4 ) ) ) ),
define([status(thm)]) ).
thf(five_ax,axiom,
( five
= ( ^ [X: $i > $i,Y: $i] : ( X @ ( X @ ( X @ ( X @ ( X @ Y ) ) ) ) ) ) ) ).
thf('4',plain,
( five
= ( ^ [X: $i > $i,Y: $i] : ( X @ ( X @ ( X @ ( X @ ( X @ Y ) ) ) ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[five_ax]) ).
thf('5',plain,
( five
= ( ^ [V_1: $i > $i,V_2: $i] : ( V_1 @ ( V_1 @ ( V_1 @ ( V_1 @ ( V_1 @ V_2 ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(four_ax,axiom,
( four
= ( ^ [X: $i > $i,Y: $i] : ( X @ ( X @ ( X @ ( X @ Y ) ) ) ) ) ) ).
thf('6',plain,
( four
= ( ^ [X: $i > $i,Y: $i] : ( X @ ( X @ ( X @ ( X @ Y ) ) ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[four_ax]) ).
thf('7',plain,
( four
= ( ^ [V_1: $i > $i,V_2: $i] : ( V_1 @ ( V_1 @ ( V_1 @ ( V_1 @ V_2 ) ) ) ) ) ),
define([status(thm)]) ).
thf(thm,conjecture,
? [N: ( $i > $i ) > $i > $i,M: ( $i > $i ) > $i > $i] :
( ( mult @ N @ four )
= ( plus @ five @ M ) ) ).
thf(zf_stmt_0,conjecture,
? [X4: ( $i > $i ) > $i > $i,X6: ( $i > $i ) > $i > $i] :
! [V_4: $i > $i,V_5: $i] :
( ( X4
@ ^ [V_3: $i] : ( V_4 @ ( V_4 @ ( V_4 @ ( V_4 @ V_3 ) ) ) )
@ V_5 )
= ( V_4 @ ( V_4 @ ( V_4 @ ( V_4 @ ( V_4 @ ( X6 @ V_4 @ V_5 ) ) ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ? [X4: ( $i > $i ) > $i > $i,X6: ( $i > $i ) > $i > $i] :
! [V_4: $i > $i,V_5: $i] :
( ( X4
@ ^ [V_3: $i] : ( V_4 @ ( V_4 @ ( V_4 @ ( V_4 @ V_3 ) ) ) )
@ V_5 )
= ( V_4 @ ( V_4 @ ( V_4 @ ( V_4 @ ( V_4 @ ( X6 @ V_4 @ V_5 ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
! [X0: ( $i > $i ) > $i > $i,X1: ( $i > $i ) > $i > $i] :
( ( X1
@ ^ [Y0: $i] : ( sk_ @ X0 @ X1 @ ( sk_ @ X0 @ X1 @ ( sk_ @ X0 @ X1 @ ( sk_ @ X0 @ X1 @ Y0 ) ) ) )
@ ( sk__1 @ X0 @ X1 ) )
!= ( sk_ @ X0 @ X1 @ ( sk_ @ X0 @ X1 @ ( sk_ @ X0 @ X1 @ ( sk_ @ X0 @ X1 @ ( sk_ @ X0 @ X1 @ ( X0 @ ( sk_ @ X0 @ X1 ) @ ( sk__1 @ X0 @ X1 ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
$false,
inference(eq_res,[status(thm)],[zip_derived_cl0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : NUM801^1 : TPTP v9.2.0. Released v3.7.0.
% 0.06/0.11 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.qY4xZ2I6nW true
% 0.08/0.30 % Computer : n023.cluster.edu
% 0.08/0.30 % Model : x86_64 x86_64
% 0.08/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.30 % Memory : 8042.1875MB
% 0.08/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.30 % CPULimit : 300
% 0.08/0.30 % WCLimit : 300
% 0.08/0.30 % DateTime : Wed Oct 1 16:26:23 EDT 2025
% 0.08/0.30 % CPUTime :
% 0.08/0.30 % Running portfolio for 300 s
% 0.08/0.30 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.30 % Number of cores: 8
% 0.08/0.30 % Python version: Python 3.6.8
% 0.08/0.30 % Running in HO mode
% 0.12/0.49 % Total configuration time : 828
% 0.12/0.49 % Estimated wc time : 1656
% 0.12/0.49 % Estimated cpu time (8 cpus) : 207.0
% 0.44/0.57 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.82/0.65 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.82/0.66 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.82/0.66 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.82/0.67 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.82/0.69 % Solved by lams/40_c.s.sh.
% 0.82/0.69 % done 2 iterations in 0.069s
% 0.82/0.69 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.82/0.69 % SZS output start Refutation
% See solution above
% 0.82/0.69
% 0.82/0.69
% 0.82/0.69 % Terminating...
% 1.06/0.96 % Runner terminated.
% 1.06/0.97 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------