TSTP Solution File: DAT056^2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : DAT056^2 : TPTP v8.1.2. Released v5.4.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Sa03Q5T1XG true
% Computer : n031.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 22:25:45 EDT 2023
% Result : Theorem 1.52s 0.87s
% Output : Refutation 1.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 14
% Syntax : Number of formulae : 51 ( 19 unt; 10 typ; 0 def)
% Number of atoms : 88 ( 57 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 600 ( 13 ~; 9 |; 0 &; 524 @)
% ( 0 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 8 usr; 8 con; 0-2 aty)
% ( 30 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 78 ( 30 ^; 48 !; 0 ?; 78 :)
% Comments :
%------------------------------------------------------------------------------
thf(lst_type,type,
lst: $tType ).
thf(a_type,type,
a: $tType ).
thf(nl_type,type,
nl: lst ).
thf('#sk2_type',type,
'#sk2': lst ).
thf(ap_type,type,
ap: lst > lst > lst ).
thf(xs_type,type,
xs: lst ).
thf(cns_type,type,
cns: a > lst > lst ).
thf('#sk478_type',type,
'#sk478': a ).
thf('#sk479_type',type,
'#sk479': lst ).
thf('#sk1_type',type,
'#sk1': lst ).
thf(conj_0,conjecture,
! [Ys: lst,Zs: lst] :
( ( ap @ xs @ ( ap @ Ys @ Zs ) )
= ( ap @ ( ap @ xs @ Ys ) @ Zs ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [Ys: lst,Zs: lst] :
( ( ap @ xs @ ( ap @ Ys @ Zs ) )
= ( ap @ ( ap @ xs @ Ys ) @ Zs ) ),
inference('cnf.neg',[status(esa)],[conj_0]) ).
thf(zip_derived_cl3,plain,
~ ( !!
@ ^ [Y0: lst] :
( !!
@ ^ [Y1: lst] :
( ( ap @ xs @ ( ap @ Y0 @ Y1 ) )
= ( ap @ ( ap @ xs @ Y0 ) @ Y1 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6,plain,
~ ( !!
@ ^ [Y0: lst] :
( ( ap @ xs @ ( ap @ '#sk1' @ Y0 ) )
= ( ap @ ( ap @ xs @ '#sk1' ) @ Y0 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl7,plain,
( ( ap @ xs @ ( ap @ '#sk1' @ '#sk2' ) )
!= ( ap @ ( ap @ xs @ '#sk1' ) @ '#sk2' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl8,plain,
( ( ap @ xs @ ( ap @ '#sk1' @ '#sk2' ) )
!= ( ap @ ( ap @ xs @ '#sk1' ) @ '#sk2' ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl7]) ).
thf(fact_0_lst_Oinduct,axiom,
! [Lst: lst,P: lst > $o] :
( ( P @ nl )
=> ( ! [A: a,Lst2: lst] :
( ( P @ Lst2 )
=> ( P @ ( cns @ A @ Lst2 ) ) )
=> ( P @ Lst ) ) ) ).
thf(zip_derived_cl0,plain,
( !!
@ ^ [Y0: lst] :
( !!
@ ^ [Y1: lst > $o] :
( ( Y1 @ nl )
=> ( ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: lst] :
( ( Y1 @ Y3 )
=> ( Y1 @ ( cns @ Y2 @ Y3 ) ) ) ) )
=> ( Y1 @ Y0 ) ) ) ) ),
inference(cnf,[status(esa)],[fact_0_lst_Oinduct]) ).
thf(zip_derived_cl15,plain,
! [X2: lst] :
( !!
@ ^ [Y0: lst > $o] :
( ( Y0 @ nl )
=> ( ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: lst] :
( ( Y0 @ Y2 )
=> ( Y0 @ ( cns @ Y1 @ Y2 ) ) ) ) )
=> ( Y0 @ X2 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl16,plain,
! [X2: lst,X4: lst > $o] :
( ( X4 @ nl )
=> ( ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: lst] :
( ( X4 @ Y1 )
=> ( X4 @ ( cns @ Y0 @ Y1 ) ) ) ) )
=> ( X4 @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl18,plain,
! [X0: lst] :
( ( ( ap @ nl @ ( ap @ '#sk1' @ '#sk2' ) )
= ( ap @ ( ap @ nl @ '#sk1' ) @ '#sk2' ) )
=> ( ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: lst] :
( ( ( ap @ Y1 @ ( ap @ '#sk1' @ '#sk2' ) )
= ( ap @ ( ap @ Y1 @ '#sk1' ) @ '#sk2' ) )
=> ( ( ap @ ( cns @ Y0 @ Y1 ) @ ( ap @ '#sk1' @ '#sk2' ) )
= ( ap @ ( ap @ ( cns @ Y0 @ Y1 ) @ '#sk1' ) @ '#sk2' ) ) ) ) )
=> ( ( ap @ X0 @ ( ap @ '#sk1' @ '#sk2' ) )
= ( ap @ ( ap @ X0 @ '#sk1' ) @ '#sk2' ) ) ) ),
inference(triggered_bool_instantiation,[status(thm)],[zip_derived_cl16]) ).
thf(fact_2p_Osimps_I1_J,axiom,
! [Ys2: lst] :
( ( ap @ nl @ Ys2 )
= Ys2 ) ).
thf(zip_derived_cl2,plain,
( !!
@ ^ [Y0: lst] :
( ( ap @ nl @ Y0 )
= Y0 ) ),
inference(cnf,[status(esa)],[fact_2p_Osimps_I1_J]) ).
thf(zip_derived_cl4,plain,
! [X2: lst] :
( ( ap @ nl @ X2 )
= X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl5,plain,
! [X2: lst] :
( ( ap @ nl @ X2 )
= X2 ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl5_001,plain,
! [X2: lst] :
( ( ap @ nl @ X2 )
= X2 ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl376,plain,
! [X0: lst] :
( ( ( ap @ '#sk1' @ '#sk2' )
= ( ap @ '#sk1' @ '#sk2' ) )
=> ( ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: lst] :
( ( ( ap @ Y1 @ ( ap @ '#sk1' @ '#sk2' ) )
= ( ap @ ( ap @ Y1 @ '#sk1' ) @ '#sk2' ) )
=> ( ( ap @ ( cns @ Y0 @ Y1 ) @ ( ap @ '#sk1' @ '#sk2' ) )
= ( ap @ ( ap @ ( cns @ Y0 @ Y1 ) @ '#sk1' ) @ '#sk2' ) ) ) ) )
=> ( ( ap @ X0 @ ( ap @ '#sk1' @ '#sk2' ) )
= ( ap @ ( ap @ X0 @ '#sk1' ) @ '#sk2' ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18,zip_derived_cl5,zip_derived_cl5]) ).
thf(zip_derived_cl377,plain,
! [X0: lst] :
( ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: lst] :
( ( ( ap @ Y1 @ ( ap @ '#sk1' @ '#sk2' ) )
= ( ap @ ( ap @ Y1 @ '#sk1' ) @ '#sk2' ) )
=> ( ( ap @ ( cns @ Y0 @ Y1 ) @ ( ap @ '#sk1' @ '#sk2' ) )
= ( ap @ ( ap @ ( cns @ Y0 @ Y1 ) @ '#sk1' ) @ '#sk2' ) ) ) ) )
=> ( ( ap @ X0 @ ( ap @ '#sk1' @ '#sk2' ) )
= ( ap @ ( ap @ X0 @ '#sk1' ) @ '#sk2' ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl376]) ).
thf(zip_derived_cl378,plain,
! [X0: lst] :
( ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: lst] :
( ( ( ap @ Y1 @ ( ap @ '#sk1' @ '#sk2' ) )
= ( ap @ ( ap @ Y1 @ '#sk1' ) @ '#sk2' ) )
=> ( ( ap @ ( cns @ Y0 @ Y1 ) @ ( ap @ '#sk1' @ '#sk2' ) )
= ( ap @ ( ap @ ( cns @ Y0 @ Y1 ) @ '#sk1' ) @ '#sk2' ) ) ) ) )
| ( ( ap @ X0 @ ( ap @ '#sk1' @ '#sk2' ) )
= ( ap @ ( ap @ X0 @ '#sk1' ) @ '#sk2' ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl377]) ).
thf(zip_derived_cl379,plain,
! [X0: lst] :
( ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: lst] :
( ( ( ap @ Y1 @ ( ap @ '#sk1' @ '#sk2' ) )
= ( ap @ ( ap @ Y1 @ '#sk1' ) @ '#sk2' ) )
=> ( ( ap @ ( cns @ Y0 @ Y1 ) @ ( ap @ '#sk1' @ '#sk2' ) )
= ( ap @ ( ap @ ( cns @ Y0 @ Y1 ) @ '#sk1' ) @ '#sk2' ) ) ) ) )
| ( ( ap @ X0 @ ( ap @ '#sk1' @ '#sk2' ) )
= ( ap @ ( ap @ X0 @ '#sk1' ) @ '#sk2' ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl378]) ).
thf(zip_derived_cl380,plain,
! [X0: lst] :
( ~ ( !!
@ ^ [Y0: lst] :
( ( ( ap @ Y0 @ ( ap @ '#sk1' @ '#sk2' ) )
= ( ap @ ( ap @ Y0 @ '#sk1' ) @ '#sk2' ) )
=> ( ( ap @ ( cns @ '#sk478' @ Y0 ) @ ( ap @ '#sk1' @ '#sk2' ) )
= ( ap @ ( ap @ ( cns @ '#sk478' @ Y0 ) @ '#sk1' ) @ '#sk2' ) ) ) )
| ( ( ap @ X0 @ ( ap @ '#sk1' @ '#sk2' ) )
= ( ap @ ( ap @ X0 @ '#sk1' ) @ '#sk2' ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl379]) ).
thf(zip_derived_cl381,plain,
! [X0: lst] :
( ~ ( ( ( ap @ '#sk479' @ ( ap @ '#sk1' @ '#sk2' ) )
= ( ap @ ( ap @ '#sk479' @ '#sk1' ) @ '#sk2' ) )
=> ( ( ap @ ( cns @ '#sk478' @ '#sk479' ) @ ( ap @ '#sk1' @ '#sk2' ) )
= ( ap @ ( ap @ ( cns @ '#sk478' @ '#sk479' ) @ '#sk1' ) @ '#sk2' ) ) )
| ( ( ap @ X0 @ ( ap @ '#sk1' @ '#sk2' ) )
= ( ap @ ( ap @ X0 @ '#sk1' ) @ '#sk2' ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl380]) ).
thf(zip_derived_cl383,plain,
! [X0: lst] :
( ( ( ap @ ( cns @ '#sk478' @ '#sk479' ) @ ( ap @ '#sk1' @ '#sk2' ) )
!= ( ap @ ( ap @ ( cns @ '#sk478' @ '#sk479' ) @ '#sk1' ) @ '#sk2' ) )
| ( ( ap @ X0 @ ( ap @ '#sk1' @ '#sk2' ) )
= ( ap @ ( ap @ X0 @ '#sk1' ) @ '#sk2' ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl381]) ).
thf(zip_derived_cl386,plain,
! [X0: lst] :
( ( ( ap @ ( cns @ '#sk478' @ '#sk479' ) @ ( ap @ '#sk1' @ '#sk2' ) )
!= ( ap @ ( ap @ ( cns @ '#sk478' @ '#sk479' ) @ '#sk1' ) @ '#sk2' ) )
| ( ( ap @ X0 @ ( ap @ '#sk1' @ '#sk2' ) )
= ( ap @ ( ap @ X0 @ '#sk1' ) @ '#sk2' ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl383]) ).
thf(zip_derived_cl382,plain,
! [X0: lst] :
( ( ( ap @ '#sk479' @ ( ap @ '#sk1' @ '#sk2' ) )
= ( ap @ ( ap @ '#sk479' @ '#sk1' ) @ '#sk2' ) )
| ( ( ap @ X0 @ ( ap @ '#sk1' @ '#sk2' ) )
= ( ap @ ( ap @ X0 @ '#sk1' ) @ '#sk2' ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl381]) ).
thf(zip_derived_cl384,plain,
! [X0: lst] :
( ( ( ap @ '#sk479' @ ( ap @ '#sk1' @ '#sk2' ) )
= ( ap @ ( ap @ '#sk479' @ '#sk1' ) @ '#sk2' ) )
| ( ( ap @ X0 @ ( ap @ '#sk1' @ '#sk2' ) )
= ( ap @ ( ap @ X0 @ '#sk1' ) @ '#sk2' ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl382]) ).
thf(zip_derived_cl385,plain,
( ( ap @ '#sk479' @ ( ap @ '#sk1' @ '#sk2' ) )
= ( ap @ ( ap @ '#sk479' @ '#sk1' ) @ '#sk2' ) ),
inference(condensation,[status(thm)],[zip_derived_cl384]) ).
thf(fact_1p_Osimps_I2_J,axiom,
! [Ys2: lst,Xs: lst,X: a] :
( ( ap @ ( cns @ X @ Xs ) @ Ys2 )
= ( cns @ X @ ( ap @ Xs @ Ys2 ) ) ) ).
thf(zip_derived_cl1,plain,
( !!
@ ^ [Y0: lst] :
( !!
@ ^ [Y1: lst] :
( !!
@ ^ [Y2: a] :
( ( ap @ ( cns @ Y2 @ Y1 ) @ Y0 )
= ( cns @ Y2 @ ( ap @ Y1 @ Y0 ) ) ) ) ) ),
inference(cnf,[status(esa)],[fact_1p_Osimps_I2_J]) ).
thf(zip_derived_cl9,plain,
! [X2: lst] :
( !!
@ ^ [Y0: lst] :
( !!
@ ^ [Y1: a] :
( ( ap @ ( cns @ Y1 @ Y0 ) @ X2 )
= ( cns @ Y1 @ ( ap @ Y0 @ X2 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl10,plain,
! [X2: lst,X4: lst] :
( !!
@ ^ [Y0: a] :
( ( ap @ ( cns @ Y0 @ X4 ) @ X2 )
= ( cns @ Y0 @ ( ap @ X4 @ X2 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl11,plain,
! [X2: lst,X4: lst,X6: a] :
( ( ap @ ( cns @ X6 @ X4 ) @ X2 )
= ( cns @ X6 @ ( ap @ X4 @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl12,plain,
! [X2: lst,X4: lst,X6: a] :
( ( ap @ ( cns @ X6 @ X4 ) @ X2 )
= ( cns @ X6 @ ( ap @ X4 @ X2 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl387,plain,
! [X0: a] :
( ( ap @ ( cns @ X0 @ ( ap @ '#sk479' @ '#sk1' ) ) @ '#sk2' )
= ( cns @ X0 @ ( ap @ '#sk479' @ ( ap @ '#sk1' @ '#sk2' ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl385,zip_derived_cl12]) ).
thf(zip_derived_cl12_002,plain,
! [X2: lst,X4: lst,X6: a] :
( ( ap @ ( cns @ X6 @ X4 ) @ X2 )
= ( cns @ X6 @ ( ap @ X4 @ X2 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl12_003,plain,
! [X2: lst,X4: lst,X6: a] :
( ( ap @ ( cns @ X6 @ X4 ) @ X2 )
= ( cns @ X6 @ ( ap @ X4 @ X2 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl388,plain,
! [X0: a] :
( ( ap @ ( ap @ ( cns @ X0 @ '#sk479' ) @ '#sk1' ) @ '#sk2' )
= ( ap @ ( cns @ X0 @ '#sk479' ) @ ( ap @ '#sk1' @ '#sk2' ) ) ),
inference(demod,[status(thm)],[zip_derived_cl387,zip_derived_cl12,zip_derived_cl12]) ).
thf(zip_derived_cl391,plain,
! [X0: lst] :
( ( ( ap @ ( cns @ '#sk478' @ '#sk479' ) @ ( ap @ '#sk1' @ '#sk2' ) )
!= ( ap @ ( cns @ '#sk478' @ '#sk479' ) @ ( ap @ '#sk1' @ '#sk2' ) ) )
| ( ( ap @ X0 @ ( ap @ '#sk1' @ '#sk2' ) )
= ( ap @ ( ap @ X0 @ '#sk1' ) @ '#sk2' ) ) ),
inference(demod,[status(thm)],[zip_derived_cl386,zip_derived_cl388]) ).
thf(zip_derived_cl392,plain,
! [X0: lst] :
( ( ap @ X0 @ ( ap @ '#sk1' @ '#sk2' ) )
= ( ap @ ( ap @ X0 @ '#sk1' ) @ '#sk2' ) ),
inference(simplify,[status(thm)],[zip_derived_cl391]) ).
thf(zip_derived_cl393,plain,
( ( ap @ xs @ ( ap @ '#sk1' @ '#sk2' ) )
!= ( ap @ xs @ ( ap @ '#sk1' @ '#sk2' ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8,zip_derived_cl392]) ).
thf(zip_derived_cl394,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl393]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : DAT056^2 : TPTP v8.1.2. Released v5.4.0.
% 0.11/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Sa03Q5T1XG true
% 0.14/0.34 % Computer : n031.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Thu Aug 24 15:01:06 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
% 0.21/0.63 % Total configuration time : 828
% 0.21/0.63 % Estimated wc time : 1656
% 0.21/0.63 % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.70 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.72 % /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
% 0.21/0.75 % /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
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.44/0.81 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.52/0.87 % Solved by lams/35_full_unif4.sh.
% 1.52/0.87 % done 27 iterations in 0.122s
% 1.52/0.87 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.52/0.87 % SZS output start Refutation
% See solution above
% 1.52/0.87
% 1.52/0.87
% 1.52/0.87 % Terminating...
% 1.71/0.97 % Runner terminated.
% 1.71/0.98 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------