TSTP Solution File: NUM415^1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM415^1 : TPTP v8.1.2. Released v3.6.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ideX2Lg4Yy true
% Computer : n004.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 Aug 31 12:41:18 EDT 2023
% Result : Theorem 1.14s 0.77s
% Output : Refutation 1.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 23
% Syntax : Number of formulae : 32 ( 25 unt; 7 typ; 0 def)
% Number of atoms : 25 ( 24 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 166 ( 1 ~; 0 |; 0 &; 165 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 96 ( 96 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 7 usr; 1 con; 0-4 aty)
% Number of variables : 58 ( 54 ^; 4 !; 0 ?; 58 :)
% Comments :
%------------------------------------------------------------------------------
thf(mult_type,type,
mult: ( ( $i > $i ) > $i > $i ) > ( ( $i > $i ) > $i > $i ) > ( $i > $i ) > $i > $i ).
thf(two_type,type,
two: ( $i > $i ) > $i > $i ).
thf(seven_type,type,
seven: ( $i > $i ) > $i > $i ).
thf(five_type,type,
five: ( $i > $i ) > $i > $i ).
thf(three_type,type,
three: ( $i > $i ) > $i > $i ).
thf(one_type,type,
one: ( $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(seven_ax,axiom,
( seven
= ( ^ [X: $i > $i,Y: $i] : ( X @ ( X @ ( X @ ( X @ ( X @ ( X @ ( X @ Y ) ) ) ) ) ) ) ) ) ).
thf('4',plain,
( seven
= ( ^ [X: $i > $i,Y: $i] : ( X @ ( X @ ( X @ ( X @ ( X @ ( X @ ( X @ Y ) ) ) ) ) ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[seven_ax]) ).
thf('5',plain,
( seven
= ( ^ [V_1: $i > $i,V_2: $i] : ( V_1 @ ( V_1 @ ( V_1 @ ( V_1 @ ( V_1 @ ( V_1 @ ( V_1 @ V_2 ) ) ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(five_ax,axiom,
( five
= ( ^ [X: $i > $i,Y: $i] : ( X @ ( X @ ( X @ ( X @ ( X @ Y ) ) ) ) ) ) ) ).
thf('6',plain,
( five
= ( ^ [X: $i > $i,Y: $i] : ( X @ ( X @ ( X @ ( X @ ( X @ Y ) ) ) ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[five_ax]) ).
thf('7',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(three_ax,axiom,
( three
= ( ^ [X: $i > $i,Y: $i] : ( X @ ( X @ ( X @ Y ) ) ) ) ) ).
thf('8',plain,
( three
= ( ^ [X: $i > $i,Y: $i] : ( X @ ( X @ ( X @ Y ) ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[three_ax]) ).
thf('9',plain,
( three
= ( ^ [V_1: $i > $i,V_2: $i] : ( V_1 @ ( V_1 @ ( V_1 @ V_2 ) ) ) ) ),
define([status(thm)]) ).
thf(two_ax,axiom,
( two
= ( ^ [X: $i > $i,Y: $i] : ( X @ ( X @ Y ) ) ) ) ).
thf('10',plain,
( two
= ( ^ [X: $i > $i,Y: $i] : ( X @ ( X @ Y ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[two_ax]) ).
thf('11',plain,
( two
= ( ^ [V_1: $i > $i,V_2: $i] : ( V_1 @ ( V_1 @ V_2 ) ) ) ),
define([status(thm)]) ).
thf(one_ax,axiom,
( one
= ( ^ [X: $i > $i,Y: $i] : ( X @ Y ) ) ) ).
thf('12',plain,
( one
= ( ^ [X: $i > $i,Y: $i] : ( X @ Y ) ) ),
inference(simplify_rw_rule,[status(thm)],[one_ax]) ).
thf('13',plain,
( one
= ( ^ [V_1: $i > $i,V_2: $i] : ( V_1 @ V_2 ) ) ),
define([status(thm)]) ).
thf(thm,conjecture,
( ( mult @ two @ ( plus @ three @ seven ) )
= ( mult @ ( mult @ two @ five ) @ ( plus @ one @ one ) ) ) ).
thf(zf_stmt_0,conjecture,
! [V_3: $i > $i,V_4: $i] :
( ( V_3 @ ( V_3 @ ( V_3 @ ( V_3 @ ( V_3 @ ( V_3 @ ( V_3 @ ( V_3 @ ( V_3 @ ( V_3 @ ( V_3 @ ( V_3 @ ( V_3 @ ( V_3 @ ( V_3 @ ( V_3 @ ( V_3 @ ( V_3 @ ( V_3 @ ( V_3 @ V_4 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= ( V_3 @ ( V_3 @ ( V_3 @ ( V_3 @ ( V_3 @ ( V_3 @ ( V_3 @ ( V_3 @ ( V_3 @ ( V_3 @ ( V_3 @ ( V_3 @ ( V_3 @ ( V_3 @ ( V_3 @ ( V_3 @ ( V_3 @ ( V_3 @ ( V_3 @ ( V_3 @ V_4 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [V_3: $i > $i,V_4: $i] :
( ( V_3 @ ( V_3 @ ( V_3 @ ( V_3 @ ( V_3 @ ( V_3 @ ( V_3 @ ( V_3 @ ( V_3 @ ( V_3 @ ( V_3 @ ( V_3 @ ( V_3 @ ( V_3 @ ( V_3 @ ( V_3 @ ( V_3 @ ( V_3 @ ( V_3 @ ( V_3 @ V_4 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= ( V_3 @ ( V_3 @ ( V_3 @ ( V_3 @ ( V_3 @ ( V_3 @ ( V_3 @ ( V_3 @ ( V_3 @ ( V_3 @ ( V_3 @ ( V_3 @ ( V_3 @ ( V_3 @ ( V_3 @ ( V_3 @ ( V_3 @ ( V_3 @ ( V_3 @ ( V_3 @ V_4 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
$false,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : NUM415^1 : TPTP v8.1.2. Released v3.6.0.
% 0.14/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ideX2Lg4Yy true
% 0.14/0.35 % Computer : n004.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri Aug 25 14:52:53 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in HO mode
% 0.22/0.67 % Total configuration time : 828
% 0.22/0.67 % Estimated wc time : 1656
% 0.22/0.67 % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.74 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.22/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 1.14/0.75 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 1.14/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 1.14/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 1.14/0.76 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.14/0.77 % Solved by lams/40_c_ic.sh.
% 1.14/0.77 % done 0 iterations in 0.007s
% 1.14/0.77 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.14/0.77 % SZS output start Refutation
% See solution above
% 1.14/0.77
% 1.14/0.77
% 1.14/0.77 % Terminating...
% 1.47/0.87 % Runner terminated.
% 1.72/0.88 % Zipperpin 1.5 exiting
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