TSTP Solution File: ALG266^2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ALG266^2 : TPTP v8.1.2. Bugfixed v5.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.nfX767gOcj true
% Computer : n008.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 : Wed Aug 30 17:12:36 EDT 2023
% Result : Theorem 26.29s 3.98s
% Output : Refutation 26.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 29
% Syntax : Number of formulae : 33 ( 15 unt; 15 typ; 0 def)
% Number of atoms : 70 ( 33 equ; 0 cnn)
% Maximal formula atoms : 21 ( 3 avg)
% Number of connectives : 544 ( 2 ~; 0 |; 0 &; 450 @)
% ( 0 <=>; 75 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 4 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 67 ( 67 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 13 usr; 10 con; 0-2 aty)
% ( 17 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 99 ( 31 ^; 68 !; 0 ?; 99 :)
% Comments :
%------------------------------------------------------------------------------
thf(term_type,type,
term: $tType ).
thf(subst_type,type,
subst: $tType ).
thf(hoasinduction_lem3a_type,type,
hoasinduction_lem3a: $o ).
thf(lam_type,type,
lam: term > term ).
thf(hoasinduction_lem3aa_type,type,
hoasinduction_lem3aa: $o ).
thf(push_type,type,
push: term > subst > subst ).
thf(one_type,type,
one: term ).
thf(id_type,type,
id: subst ).
thf(comp_type,type,
comp: subst > subst > subst ).
thf(axvarid_type,type,
axvarid: $o ).
thf(axvarshift_type,type,
axvarshift: $o ).
thf(sh_type,type,
sh: subst ).
thf(hoasinduction_lem3a_lthm_type,type,
hoasinduction_lem3a_lthm: $o ).
thf(sub_type,type,
sub: term > subst > term ).
thf(hoaslam_type,type,
hoaslam: subst > ( subst > term > term ) > term ).
thf(hoasinduction_lem3a_lthm,axiom,
( hoasinduction_lem3a_lthm
= ( axvarid
=> ( axvarshift
=> ( hoasinduction_lem3aa
=> hoasinduction_lem3a ) ) ) ) ).
thf('0',plain,
( hoasinduction_lem3a_lthm
= ( axvarid
=> ( axvarshift
=> ( hoasinduction_lem3aa
=> hoasinduction_lem3a ) ) ) ),
define([status(thm)]) ).
thf(hoasinduction_lem3a,axiom,
( hoasinduction_lem3a
= ( ! [P: subst > term > subst > $o] :
( ! [F: subst > term > term] :
( ! [M: subst,A: term,N: subst] :
( ( sub @ ( F @ M @ A ) @ N )
= ( F @ ( comp @ M @ N ) @ ( sub @ A @ N ) ) )
=> ( ! [A: term] :
( ( P @ id @ A @ id )
=> ( P @ id @ ( F @ id @ A ) @ id ) )
=> ( P @ id
@ ( hoaslam @ id
@ ^ [M: subst,A: term] : ( F @ M @ A ) )
@ id ) ) )
=> ! [A: term] :
( ! [B: term] :
( ( P @ id @ B @ id )
=> ( P @ id @ ( sub @ A @ ( push @ B @ id ) ) @ id ) )
=> ( P @ id @ ( lam @ A ) @ id ) ) ) ) ) ).
thf('1',plain,
( hoasinduction_lem3a
= ( ! [X4: subst > term > subst > $o] :
( ! [X6: subst > term > term] :
( ! [X8: subst,X10: term,X12: subst] :
( ( sub @ ( X6 @ X8 @ X10 ) @ X12 )
= ( X6 @ ( comp @ X8 @ X12 ) @ ( sub @ X10 @ X12 ) ) )
=> ( ! [X14: term] :
( ( X4 @ id @ X14 @ id )
=> ( X4 @ id @ ( X6 @ id @ X14 ) @ id ) )
=> ( X4 @ id
@ ( hoaslam @ id
@ ^ [V_1: subst,V_2: term] : ( X6 @ V_1 @ V_2 ) )
@ id ) ) )
=> ! [X16: term] :
( ! [X18: term] :
( ( X4 @ id @ X18 @ id )
=> ( X4 @ id @ ( sub @ X16 @ ( push @ X18 @ id ) ) @ id ) )
=> ( X4 @ id @ ( lam @ X16 ) @ id ) ) ) ) ),
define([status(thm)]) ).
thf(hoasinduction_lem3aa,axiom,
( hoasinduction_lem3aa
= ( ! [P: subst > term > subst > $o] :
( ! [F: subst > term > term] :
( ! [M: subst,A: term,N: subst] :
( ( sub @ ( F @ M @ A ) @ N )
= ( F @ ( comp @ M @ N ) @ ( sub @ A @ N ) ) )
=> ( ! [A: term] :
( ( P @ id @ A @ id )
=> ( P @ id @ ( F @ id @ A ) @ id ) )
=> ( P @ id
@ ( hoaslam @ id
@ ^ [M: subst,A: term] : ( F @ M @ A ) )
@ id ) ) )
=> ! [A: term] :
( ! [B: term] :
( ( P @ id @ B @ id )
=> ( P @ id @ ( sub @ A @ ( push @ B @ id ) ) @ id ) )
=> ( P @ id @ ( lam @ ( sub @ A @ ( push @ one @ sh ) ) ) @ id ) ) ) ) ) ).
thf('2',plain,
( hoasinduction_lem3aa
= ( ! [X4: subst > term > subst > $o] :
( ! [X6: subst > term > term] :
( ! [X8: subst,X10: term,X12: subst] :
( ( sub @ ( X6 @ X8 @ X10 ) @ X12 )
= ( X6 @ ( comp @ X8 @ X12 ) @ ( sub @ X10 @ X12 ) ) )
=> ( ! [X14: term] :
( ( X4 @ id @ X14 @ id )
=> ( X4 @ id @ ( X6 @ id @ X14 ) @ id ) )
=> ( X4 @ id
@ ( hoaslam @ id
@ ^ [V_1: subst,V_2: term] : ( X6 @ V_1 @ V_2 ) )
@ id ) ) )
=> ! [X16: term] :
( ! [X18: term] :
( ( X4 @ id @ X18 @ id )
=> ( X4 @ id @ ( sub @ X16 @ ( push @ X18 @ id ) ) @ id ) )
=> ( X4 @ id @ ( lam @ ( sub @ X16 @ ( push @ one @ sh ) ) ) @ id ) ) ) ) ),
define([status(thm)]) ).
thf(hoaslam,axiom,
( hoaslam
= ( ^ [M: subst,F: subst > term > term] : ( lam @ ( F @ sh @ one ) ) ) ) ).
thf('3',plain,
( hoaslam
= ( ^ [M: subst,F: subst > term > term] : ( lam @ ( F @ sh @ one ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[hoaslam]) ).
thf('4',plain,
( hoaslam
= ( ^ [V_1: subst,V_2: subst > term > term] : ( lam @ ( V_2 @ sh @ one ) ) ) ),
define([status(thm)]) ).
thf(axvarshift,axiom,
( axvarshift
= ( ( push @ one @ sh )
= id ) ) ).
thf('5',plain,
( axvarshift
= ( ( push @ one @ sh )
= id ) ),
define([status(thm)]) ).
thf(axvarid,axiom,
( axvarid
= ( ! [A: term] :
( ( sub @ A @ id )
= A ) ) ) ).
thf('6',plain,
( axvarid
= ( ! [X4: term] :
( ( sub @ X4 @ id )
= X4 ) ) ),
define([status(thm)]) ).
thf(thm,conjecture,
hoasinduction_lem3a_lthm ).
thf(zf_stmt_0,conjecture,
( ! [X4: term] :
( ( sub @ X4 @ id )
= X4 )
=> ( ( ( push @ one @ sh )
= id )
=> ( ! [X6: subst > term > subst > $o] :
( ! [X8: subst > term > term] :
( ! [X10: subst,X12: term,X14: subst] :
( ( sub @ ( X8 @ X10 @ X12 ) @ X14 )
= ( X8 @ ( comp @ X10 @ X14 ) @ ( sub @ X12 @ X14 ) ) )
=> ( ! [X16: term] :
( ( X6 @ id @ X16 @ id )
=> ( X6 @ id @ ( X8 @ id @ X16 ) @ id ) )
=> ( X6 @ id @ ( lam @ ( X8 @ sh @ one ) ) @ id ) ) )
=> ! [X18: term] :
( ! [X20: term] :
( ( X6 @ id @ X20 @ id )
=> ( X6 @ id @ ( sub @ X18 @ ( push @ X20 @ id ) ) @ id ) )
=> ( X6 @ id @ ( lam @ ( sub @ X18 @ ( push @ one @ sh ) ) ) @ id ) ) )
=> ! [X22: subst > term > subst > $o] :
( ! [X24: subst > term > term] :
( ! [X26: subst,X28: term,X30: subst] :
( ( sub @ ( X24 @ X26 @ X28 ) @ X30 )
= ( X24 @ ( comp @ X26 @ X30 ) @ ( sub @ X28 @ X30 ) ) )
=> ( ! [X32: term] :
( ( X22 @ id @ X32 @ id )
=> ( X22 @ id @ ( X24 @ id @ X32 ) @ id ) )
=> ( X22 @ id @ ( lam @ ( X24 @ sh @ one ) ) @ id ) ) )
=> ! [X34: term] :
( ! [X36: term] :
( ( X22 @ id @ X36 @ id )
=> ( X22 @ id @ ( sub @ X34 @ ( push @ X36 @ id ) ) @ id ) )
=> ( X22 @ id @ ( lam @ X34 ) @ id ) ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: term] :
( ( sub @ X4 @ id )
= X4 )
=> ( ( ( push @ one @ sh )
= id )
=> ( ! [X6: subst > term > subst > $o] :
( ! [X8: subst > term > term] :
( ! [X10: subst,X12: term,X14: subst] :
( ( sub @ ( X8 @ X10 @ X12 ) @ X14 )
= ( X8 @ ( comp @ X10 @ X14 ) @ ( sub @ X12 @ X14 ) ) )
=> ( ! [X16: term] :
( ( X6 @ id @ X16 @ id )
=> ( X6 @ id @ ( X8 @ id @ X16 ) @ id ) )
=> ( X6 @ id @ ( lam @ ( X8 @ sh @ one ) ) @ id ) ) )
=> ! [X18: term] :
( ! [X20: term] :
( ( X6 @ id @ X20 @ id )
=> ( X6 @ id @ ( sub @ X18 @ ( push @ X20 @ id ) ) @ id ) )
=> ( X6 @ id @ ( lam @ ( sub @ X18 @ ( push @ one @ sh ) ) ) @ id ) ) )
=> ! [X22: subst > term > subst > $o] :
( ! [X24: subst > term > term] :
( ! [X26: subst,X28: term,X30: subst] :
( ( sub @ ( X24 @ X26 @ X28 ) @ X30 )
= ( X24 @ ( comp @ X26 @ X30 ) @ ( sub @ X28 @ X30 ) ) )
=> ( ! [X32: term] :
( ( X22 @ id @ X32 @ id )
=> ( X22 @ id @ ( X24 @ id @ X32 ) @ id ) )
=> ( X22 @ id @ ( lam @ ( X24 @ sh @ one ) ) @ id ) ) )
=> ! [X34: term] :
( ! [X36: term] :
( ( X22 @ id @ X36 @ id )
=> ( X22 @ id @ ( sub @ X34 @ ( push @ X36 @ id ) ) @ id ) )
=> ( X22 @ id @ ( lam @ X34 ) @ id ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
~ ( ( !!
@ ^ [Y0: term] :
( ( sub @ Y0 @ id )
= Y0 ) )
=> ( ( ( push @ one @ sh )
= id )
=> ( ( !!
@ ^ [Y0: subst > term > subst > $o] :
( ( !!
@ ^ [Y1: subst > term > term] :
( ( !!
@ ^ [Y2: subst] :
( !!
@ ^ [Y3: term] :
( !!
@ ^ [Y4: subst] :
( ( sub @ ( Y1 @ Y2 @ Y3 ) @ Y4 )
= ( Y1 @ ( comp @ Y2 @ Y4 ) @ ( sub @ Y3 @ Y4 ) ) ) ) ) )
=> ( ( !!
@ ^ [Y2: term] :
( ( Y0 @ id @ Y2 @ id )
=> ( Y0 @ id @ ( Y1 @ id @ Y2 ) @ id ) ) )
=> ( Y0 @ id @ ( lam @ ( Y1 @ sh @ one ) ) @ id ) ) ) )
=> ( !!
@ ^ [Y1: term] :
( ( !!
@ ^ [Y2: term] :
( ( Y0 @ id @ Y2 @ id )
=> ( Y0 @ id @ ( sub @ Y1 @ ( push @ Y2 @ id ) ) @ id ) ) )
=> ( Y0 @ id @ ( lam @ ( sub @ Y1 @ ( push @ one @ sh ) ) ) @ id ) ) ) ) )
=> ( !!
@ ^ [Y0: subst > term > subst > $o] :
( ( !!
@ ^ [Y1: subst > term > term] :
( ( !!
@ ^ [Y2: subst] :
( !!
@ ^ [Y3: term] :
( !!
@ ^ [Y4: subst] :
( ( sub @ ( Y1 @ Y2 @ Y3 ) @ Y4 )
= ( Y1 @ ( comp @ Y2 @ Y4 ) @ ( sub @ Y3 @ Y4 ) ) ) ) ) )
=> ( ( !!
@ ^ [Y2: term] :
( ( Y0 @ id @ Y2 @ id )
=> ( Y0 @ id @ ( Y1 @ id @ Y2 ) @ id ) ) )
=> ( Y0 @ id @ ( lam @ ( Y1 @ sh @ one ) ) @ id ) ) ) )
=> ( !!
@ ^ [Y1: term] :
( ( !!
@ ^ [Y2: term] :
( ( Y0 @ id @ Y2 @ id )
=> ( Y0 @ id @ ( sub @ Y1 @ ( push @ Y2 @ id ) ) @ id ) ) )
=> ( Y0 @ id @ ( lam @ Y1 ) @ id ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl2144,plain,
$false,
inference(eprover,[status(thm)],[zip_derived_cl0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ALG266^2 : TPTP v8.1.2. Bugfixed v5.2.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.nfX767gOcj true
% 0.14/0.35 % Computer : n008.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 : Mon Aug 28 03:14:32 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in HO mode
% 0.21/0.64 % Total configuration time : 828
% 0.21/0.64 % Estimated wc time : 1656
% 0.21/0.64 % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.72 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.64/0.81 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 26.29/3.98 % Solved by lams/15_e_short1.sh.
% 26.29/3.98 % done 46 iterations in 3.154s
% 26.29/3.98 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 26.29/3.98 % SZS output start Refutation
% See solution above
% 26.29/3.98
% 26.29/3.98
% 26.29/3.98 % Terminating...
% 26.71/4.07 % Runner terminated.
% 26.71/4.08 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------