TSTP Solution File: NUM801^1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM801^1 : TPTP v8.1.2. Released v3.7.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Xf9BfrwY5x true
% Computer : n010.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 12:44:17 EDT 2023
% Result : Theorem 1.35s 0.82s
% Output : Refutation 1.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 14
% Syntax : Number of formulae : 25 ( 18 unt; 4 typ; 0 def)
% Number of atoms : 26 ( 20 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 155 ( 6 ~; 0 |; 0 &; 144 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 138 ( 138 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 4 usr; 2 con; 0-4 aty)
% ( 0 !!; 5 ??; 0 @@+; 0 @@-)
% Number of variables : 83 ( 72 ^; 5 !; 6 ?; 83 :)
% 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(five_type,type,
five: ( $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_1: $i > $i,V_2: $i] :
( X4
@ ^ [V_3: $i] : ( V_1 @ ( V_1 @ ( V_1 @ ( V_1 @ V_3 ) ) ) )
@ V_2 ) )
= ( ^ [V_4: $i > $i,V_5: $i] : ( 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_1: $i > $i,V_2: $i] :
( X4
@ ^ [V_3: $i] : ( V_1 @ ( V_1 @ ( V_1 @ ( V_1 @ V_3 ) ) ) )
@ V_2 ) )
= ( ^ [V_4: $i > $i,V_5: $i] : ( 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,
~ ( ??
@ ^ [Y0: ( $i > $i ) > $i > $i] :
( ??
@ ^ [Y1: ( $i > $i ) > $i > $i] :
( ( ^ [Y2: $i > $i,Y3: $i] :
( Y0
@ ^ [Y4: $i] : ( Y2 @ ( Y2 @ ( Y2 @ ( Y2 @ Y4 ) ) ) )
@ Y3 ) )
= ( ^ [Y2: $i > $i,Y3: $i] : ( Y2 @ ( Y2 @ ( Y2 @ ( Y2 @ ( Y2 @ ( Y1 @ Y2 @ Y3 ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
~ ( ??
@ ^ [Y0: ( $i > $i ) > $i > $i] :
( ??
@ ^ [Y1: ( $i > $i ) > $i > $i] :
( ( ^ [Y2: $i > $i] :
( Y0
@ ^ [Y3: $i] : ( Y2 @ ( Y2 @ ( Y2 @ ( Y2 @ Y3 ) ) ) ) ) )
= ( ^ [Y2: $i > $i,Y3: $i] : ( Y2 @ ( Y2 @ ( Y2 @ ( Y2 @ ( Y2 @ ( Y1 @ Y2 @ Y3 ) ) ) ) ) ) ) ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl2,plain,
! [X2: ( $i > $i ) > $i > $i] :
~ ( ??
@ ^ [Y0: ( $i > $i ) > $i > $i] :
( ( ^ [Y1: $i > $i] :
( X2
@ ^ [Y2: $i] : ( Y1 @ ( Y1 @ ( Y1 @ ( Y1 @ Y2 ) ) ) ) ) )
= ( ^ [Y1: $i > $i,Y2: $i] : ( Y1 @ ( Y1 @ ( Y1 @ ( Y1 @ ( Y1 @ ( Y0 @ Y1 @ Y2 ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl3,plain,
! [X2: ( $i > $i ) > $i > $i,X4: ( $i > $i ) > $i > $i] :
( ( ^ [Y0: $i > $i] :
( X2
@ ^ [Y1: $i] : ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ Y1 ) ) ) ) ) )
!= ( ^ [Y0: $i > $i,Y1: $i] : ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( X4 @ Y0 @ Y1 ) ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl4,plain,
! [X2: ( $i > $i ) > $i > $i,X4: ( $i > $i ) > $i > $i] :
( ( ^ [Y0: $i > $i] :
( X2
@ ^ [Y1: $i] : ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ Y1 ) ) ) ) ) )
!= ( ^ [Y0: $i > $i,Y1: $i] : ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( X4 @ Y0 @ Y1 ) ) ) ) ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl7,plain,
$false,
inference(eq_res,[status(thm)],[zip_derived_cl4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : NUM801^1 : TPTP v8.1.2. Released v3.7.0.
% 0.00/0.15 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Xf9BfrwY5x true
% 0.14/0.36 % Computer : n010.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 : Fri Aug 25 16:20:50 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.37 % Number of cores: 8
% 0.14/0.37 % Python version: Python 3.6.8
% 0.14/0.37 % Running in HO mode
% 0.21/0.66 % Total configuration time : 828
% 0.21/0.66 % Estimated wc time : 1656
% 0.21/0.66 % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.70 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.21/0.79 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.35/0.82 % Solved by lams/30_sp5.sh.
% 1.35/0.82 % done 0 iterations in 0.018s
% 1.35/0.82 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.35/0.82 % SZS output start Refutation
% See solution above
% 1.35/0.82
% 1.35/0.82
% 1.35/0.83 % Terminating...
% 1.66/0.88 % Runner terminated.
% 1.66/0.89 % Zipperpin 1.5 exiting
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