TSTP Solution File: NUM021^1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM021^1 : 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.RUqXTjJtEC true
% Computer : n007.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 12:39:00 EDT 2023
% Result : Theorem 21.29s 3.35s
% Output : Refutation 21.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 14
% Syntax : Number of formulae : 27 ( 15 unt; 4 typ; 0 def)
% Number of atoms : 33 ( 30 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 235 ( 10 ~; 2 |; 6 &; 215 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 201 ( 201 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 4 usr; 2 con; 0-2 aty)
% ( 0 !!; 2 ??; 0 @@+; 0 @@-)
% Number of variables : 148 ( 142 ^; 3 !; 3 ?; 148 :)
% Comments :
%------------------------------------------------------------------------------
thf(two_type,type,
two: ( $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(five_ax,axiom,
( five
= ( ^ [X: $i > $i,Y: $i] : ( X @ ( X @ ( X @ ( X @ ( X @ Y ) ) ) ) ) ) ) ).
thf('0',plain,
( five
= ( ^ [X: $i > $i,Y: $i] : ( X @ ( X @ ( X @ ( X @ ( X @ Y ) ) ) ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[five_ax]) ).
thf('1',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('2',plain,
( three
= ( ^ [X: $i > $i,Y: $i] : ( X @ ( X @ ( X @ Y ) ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[three_ax]) ).
thf('3',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('4',plain,
( two
= ( ^ [X: $i > $i,Y: $i] : ( X @ ( X @ Y ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[two_ax]) ).
thf('5',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('6',plain,
( one
= ( ^ [X: $i > $i,Y: $i] : ( X @ Y ) ) ),
inference(simplify_rw_rule,[status(thm)],[one_ax]) ).
thf('7',plain,
( one
= ( ^ [V_1: $i > $i,V_2: $i] : ( V_1 @ V_2 ) ) ),
define([status(thm)]) ).
thf(thm,conjecture,
? [Op: ( ( $i > $i ) > $i > $i ) > ( ( $i > $i ) > $i > $i ) > ( $i > $i ) > $i > $i] :
( ( ( Op @ one @ two )
= three )
& ( ( Op @ two @ three )
= five ) ) ).
thf(zf_stmt_0,conjecture,
? [X4: ( ( $i > $i ) > $i > $i ) > ( ( $i > $i ) > $i > $i ) > ( $i > $i ) > $i > $i] :
( ( ( X4
@ ^ [V_7: $i > $i,V_8: $i] : ( V_7 @ ( V_7 @ V_8 ) )
@ ^ [V_9: $i > $i,V_10: $i] : ( V_9 @ ( V_9 @ ( V_9 @ V_10 ) ) ) )
= ( ^ [V_11: $i > $i,V_12: $i] : ( V_11 @ ( V_11 @ ( V_11 @ ( V_11 @ ( V_11 @ V_12 ) ) ) ) ) ) )
& ( ( X4
@ ^ [V_1: $i > $i,V_2: $i] : ( V_1 @ V_2 )
@ ^ [V_3: $i > $i,V_4: $i] : ( V_3 @ ( V_3 @ V_4 ) ) )
= ( ^ [V_5: $i > $i,V_6: $i] : ( V_5 @ ( V_5 @ ( V_5 @ V_6 ) ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ? [X4: ( ( $i > $i ) > $i > $i ) > ( ( $i > $i ) > $i > $i ) > ( $i > $i ) > $i > $i] :
( ( ( X4
@ ^ [V_7: $i > $i,V_8: $i] : ( V_7 @ ( V_7 @ V_8 ) )
@ ^ [V_9: $i > $i,V_10: $i] : ( V_9 @ ( V_9 @ ( V_9 @ V_10 ) ) ) )
= ( ^ [V_11: $i > $i,V_12: $i] : ( V_11 @ ( V_11 @ ( V_11 @ ( V_11 @ ( V_11 @ V_12 ) ) ) ) ) ) )
& ( ( X4
@ ^ [V_1: $i > $i,V_2: $i] : ( V_1 @ V_2 )
@ ^ [V_3: $i > $i,V_4: $i] : ( V_3 @ ( V_3 @ V_4 ) ) )
= ( ^ [V_5: $i > $i,V_6: $i] : ( V_5 @ ( V_5 @ ( V_5 @ V_6 ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
~ ( ??
@ ^ [Y0: ( ( $i > $i ) > $i > $i ) > ( ( $i > $i ) > $i > $i ) > ( $i > $i ) > $i > $i] :
( ( ( Y0
@ ^ [Y1: $i > $i,Y2: $i] : ( Y1 @ ( Y1 @ Y2 ) )
@ ^ [Y1: $i > $i,Y2: $i] : ( Y1 @ ( Y1 @ ( Y1 @ Y2 ) ) ) )
= ( ^ [Y1: $i > $i,Y2: $i] : ( Y1 @ ( Y1 @ ( Y1 @ ( Y1 @ ( Y1 @ Y2 ) ) ) ) ) ) )
& ( ( Y0
@ ^ [Y1: $i > $i,Y2: $i] : ( Y1 @ Y2 )
@ ^ [Y1: $i > $i,Y2: $i] : ( Y1 @ ( Y1 @ Y2 ) ) )
= ( ^ [Y1: $i > $i,Y2: $i] : ( Y1 @ ( Y1 @ ( Y1 @ Y2 ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
~ ( ??
@ ^ [Y0: ( ( $i > $i ) > $i > $i ) > ( ( $i > $i ) > $i > $i ) > ( $i > $i ) > $i > $i] :
( ( ( Y0
@ ^ [Y1: $i > $i,Y2: $i] : ( Y1 @ ( Y1 @ Y2 ) )
@ ^ [Y1: $i > $i,Y2: $i] : ( Y1 @ ( Y1 @ ( Y1 @ Y2 ) ) ) )
= ( ^ [Y1: $i > $i,Y2: $i] : ( Y1 @ ( Y1 @ ( Y1 @ ( Y1 @ ( Y1 @ Y2 ) ) ) ) ) ) )
& ( ( Y0
@ ^ [Y1: $i > $i] : Y1
@ ^ [Y1: $i > $i,Y2: $i] : ( Y1 @ ( Y1 @ Y2 ) ) )
= ( ^ [Y1: $i > $i,Y2: $i] : ( Y1 @ ( Y1 @ ( Y1 @ Y2 ) ) ) ) ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl2,plain,
! [X2: ( ( $i > $i ) > $i > $i ) > ( ( $i > $i ) > $i > $i ) > ( $i > $i ) > $i > $i] :
~ ( ( ( X2
@ ^ [Y0: $i > $i,Y1: $i] : ( Y0 @ ( Y0 @ Y1 ) )
@ ^ [Y0: $i > $i,Y1: $i] : ( Y0 @ ( Y0 @ ( Y0 @ Y1 ) ) ) )
= ( ^ [Y0: $i > $i,Y1: $i] : ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ Y1 ) ) ) ) ) ) )
& ( ( X2
@ ^ [Y0: $i > $i] : Y0
@ ^ [Y0: $i > $i,Y1: $i] : ( Y0 @ ( Y0 @ Y1 ) ) )
= ( ^ [Y0: $i > $i,Y1: $i] : ( Y0 @ ( Y0 @ ( Y0 @ Y1 ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl3,plain,
! [X2: ( ( $i > $i ) > $i > $i ) > ( ( $i > $i ) > $i > $i ) > ( $i > $i ) > $i > $i] :
( ( ( X2
@ ^ [Y0: $i > $i,Y1: $i] : ( Y0 @ ( Y0 @ Y1 ) )
@ ^ [Y0: $i > $i,Y1: $i] : ( Y0 @ ( Y0 @ ( Y0 @ Y1 ) ) ) )
!= ( ^ [Y0: $i > $i,Y1: $i] : ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ Y1 ) ) ) ) ) ) )
| ( ( X2
@ ^ [Y0: $i > $i] : Y0
@ ^ [Y0: $i > $i,Y1: $i] : ( Y0 @ ( Y0 @ Y1 ) ) )
!= ( ^ [Y0: $i > $i,Y1: $i] : ( Y0 @ ( Y0 @ ( Y0 @ Y1 ) ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl4,plain,
! [X2: ( ( $i > $i ) > $i > $i ) > ( ( $i > $i ) > $i > $i ) > ( $i > $i ) > $i > $i] :
( ( ( X2
@ ^ [Y0: $i > $i,Y1: $i] : ( Y0 @ ( Y0 @ Y1 ) )
@ ^ [Y0: $i > $i,Y1: $i] : ( Y0 @ ( Y0 @ ( Y0 @ Y1 ) ) ) )
!= ( ^ [Y0: $i > $i,Y1: $i] : ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ Y1 ) ) ) ) ) ) )
| ( ( X2
@ ^ [Y0: $i > $i] : Y0
@ ^ [Y0: $i > $i,Y1: $i] : ( Y0 @ ( Y0 @ Y1 ) ) )
!= ( ^ [Y0: $i > $i,Y1: $i] : ( Y0 @ ( Y0 @ ( Y0 @ Y1 ) ) ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl51,plain,
( ( ^ [Y0: ( $i > $i ) > $i > $i,Y1: ( $i > $i ) > $i > $i,Y2: $i > $i,Y3: $i] :
( Y2
@ ( ^ [Y4: ( $i > $i ) > $i > $i,Y5: ( $i > $i ) > $i > $i,Y6: $i > $i,Y7: $i] :
( Y4
@ ( ^ [Y8: ( $i > $i ) > $i > $i,Y9: ( $i > $i ) > $i > $i,Y10: $i > $i,Y11: $i,Y12: $i] :
( Y10
@ ( ^ [Y13: ( $i > $i ) > $i > $i,Y14: ( $i > $i ) > $i > $i,Y15: $i > $i,Y16: $i,Y17: $i] :
( Y15
@ ( ^ [Y18: ( $i > $i ) > $i > $i,Y19: ( $i > $i ) > $i > $i,Y20: $i > $i,Y21: $i,Y22: $i] : Y22
@ Y13
@ Y14
@ Y15
@ Y16
@ Y17 ) )
@ Y8
@ Y9
@ Y10
@ Y11
@ Y12 ) )
@ Y4
@ Y5
@ Y6
@ Y7 )
@ ( ^ [Y8: ( $i > $i ) > $i > $i,Y9: ( $i > $i ) > $i > $i,Y10: $i > $i,Y11: $i] : Y11
@ Y4
@ Y5
@ Y6
@ Y7 ) )
@ Y0
@ Y1
@ Y2
@ Y3 ) )
@ ^ [Y0: $i > $i] : Y0
@ ^ [Y0: $i > $i,Y1: $i] : ( Y0 @ ( Y0 @ Y1 ) ) )
!= ( ^ [Y0: $i > $i,Y1: $i] : ( Y0 @ ( Y0 @ ( Y0 @ Y1 ) ) ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl52,plain,
( ( ^ [Y0: $i > $i,Y1: $i] : ( Y0 @ ( Y0 @ ( Y0 @ Y1 ) ) ) )
!= ( ^ [Y0: $i > $i,Y1: $i] : ( Y0 @ ( Y0 @ ( Y0 @ Y1 ) ) ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl51]) ).
thf(zip_derived_cl53,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : NUM021^1 : TPTP v8.1.2. Released v3.6.0.
% 0.12/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.RUqXTjJtEC true
% 0.13/0.34 % Computer : n007.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 : Fri Aug 25 17:19:26 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/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 HO mode
% 0.20/0.66 % Total configuration time : 828
% 0.20/0.66 % Estimated wc time : 1656
% 0.20/0.66 % Estimated cpu time (8 cpus) : 207.0
% 0.20/0.69 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 1.00/0.72 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 1.00/0.72 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 1.00/0.73 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 1.23/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 1.23/0.79 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 1.23/0.79 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.23/0.80 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 1.39/0.83 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 1.43/0.90 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif.sh running for 56s
% 1.59/1.04 % /export/starexec/sandbox2/solver/bin/lams/15_old_s4.sh running for 30s
% 1.90/1.21 % /export/starexec/sandbox2/solver/bin/lams/15_lifting3.sh running for 30s
% 21.29/3.35 % Solved by lams/35_full_unif.sh.
% 21.29/3.35 % done 36 iterations in 2.412s
% 21.29/3.35 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 21.29/3.35 % SZS output start Refutation
% See solution above
% 21.29/3.35
% 21.29/3.35
% 21.29/3.35 % Terminating...
% 21.29/3.37 % Runner terminated.
% 21.29/3.39 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------