TSTP Solution File: SEV167^5 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEV167^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.XZhbRCQXSq true
% Computer : n003.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 19:59:52 EDT 2023
% Result : Theorem 1.41s 0.82s
% Output : Refutation 1.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 7
% Syntax : Number of formulae : 39 ( 14 unt; 6 typ; 0 def)
% Number of atoms : 89 ( 49 equ; 0 cnn)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 289 ( 21 ~; 6 |; 10 &; 206 @)
% ( 0 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 7 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 118 ( 118 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 5 usr; 6 con; 0-4 aty)
% ( 26 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 154 ( 118 ^; 36 !; 0 ?; 154 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf('#sk7_type',type,
'#sk7': a ).
thf('#sk2_type',type,
'#sk2': a ).
thf('#sk12_type',type,
'#sk12': a ).
thf('#sk4_type',type,
'#sk4': a ).
thf('#sk1_type',type,
'#sk1': a > a > a > a > $o ).
thf(cTHM189_pme,conjecture,
! [Xr: a > a > a > a > $o] :
( ! [Xp: ( a > a > a ) > a,Xq: ( a > a > a ) > a] :
( ( Xr
@ ( Xp
@ ^ [Xx: a,Xy: a] : Xx )
@ ( Xp
@ ^ [Xx: a,Xy: a] : Xy )
@ ( Xq
@ ^ [Xx: a,Xy: a] : Xx )
@ ( Xq
@ ^ [Xx: a,Xy: a] : Xy ) )
=> ( Xp = Xq ) )
=> ! [Xx1: a,Xy1: a,Xx2: a,Xy2: a] :
( ( Xr @ Xx1 @ Xy1 @ Xx2 @ Xy2 )
=> ( ( Xy1 = Xy2 )
& ( Xx1 = Xx2 ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [Xr: a > a > a > a > $o] :
( ! [Xp: ( a > a > a ) > a,Xq: ( a > a > a ) > a] :
( ( Xr
@ ( Xp
@ ^ [Xx: a,Xy: a] : Xx )
@ ( Xp
@ ^ [Xx: a,Xy: a] : Xy )
@ ( Xq
@ ^ [Xx: a,Xy: a] : Xx )
@ ( Xq
@ ^ [Xx: a,Xy: a] : Xy ) )
=> ( Xp = Xq ) )
=> ! [Xx1: a,Xy1: a,Xx2: a,Xy2: a] :
( ( Xr @ Xx1 @ Xy1 @ Xx2 @ Xy2 )
=> ( ( Xy1 = Xy2 )
& ( Xx1 = Xx2 ) ) ) ),
inference('cnf.neg',[status(esa)],[cTHM189_pme]) ).
thf(zip_derived_cl0,plain,
~ ( !!
@ ^ [Y0: a > a > a > a > $o] :
( ( !!
@ ^ [Y1: ( a > a > a ) > a] :
( !!
@ ^ [Y2: ( a > a > a ) > a] :
( ( Y0
@ ( Y1
@ ^ [Y3: a,Y4: a] : Y3 )
@ ( Y1
@ ^ [Y3: a,Y4: a] : Y4 )
@ ( Y2
@ ^ [Y3: a,Y4: a] : Y3 )
@ ( Y2
@ ^ [Y3: a,Y4: a] : Y4 ) )
=> ( Y1 = Y2 ) ) ) )
=> ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( Y0 @ Y1 @ Y2 @ Y3 @ Y4 )
=> ( ( Y2 = Y4 )
& ( Y1 = Y3 ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
~ ( ( !!
@ ^ [Y0: ( a > a > a ) > a] :
( !!
@ ^ [Y1: ( a > a > a ) > a] :
( ( '#sk1'
@ ( Y0
@ ^ [Y2: a,Y3: a] : Y2 )
@ ( Y0
@ ^ [Y2: a,Y3: a] : Y3 )
@ ( Y1
@ ^ [Y2: a,Y3: a] : Y2 )
@ ( Y1
@ ^ [Y2: a,Y3: a] : Y3 ) )
=> ( Y0 = Y1 ) ) ) )
=> ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( '#sk1' @ Y0 @ Y1 @ Y2 @ Y3 )
=> ( ( Y1 = Y3 )
& ( Y0 = Y2 ) ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl3,plain,
~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( '#sk1' @ Y0 @ Y1 @ Y2 @ Y3 )
=> ( ( Y1 = Y3 )
& ( Y0 = Y2 ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl5,plain,
~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( '#sk1' @ '#sk2' @ Y0 @ Y1 @ Y2 )
=> ( ( Y0 = Y2 )
& ( '#sk2' = Y1 ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl7,plain,
~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk1' @ '#sk2' @ '#sk4' @ Y0 @ Y1 )
=> ( ( '#sk4' = Y1 )
& ( '#sk2' = Y0 ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl9,plain,
~ ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ '#sk2' @ '#sk4' @ '#sk7' @ Y0 )
=> ( ( '#sk4' = Y0 )
& ( '#sk2' = '#sk7' ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl11,plain,
~ ( ( '#sk1' @ '#sk2' @ '#sk4' @ '#sk7' @ '#sk12' )
=> ( ( '#sk4' = '#sk12' )
& ( '#sk2' = '#sk7' ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl12,plain,
'#sk1' @ '#sk2' @ '#sk4' @ '#sk7' @ '#sk12',
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl2,plain,
( !!
@ ^ [Y0: ( a > a > a ) > a] :
( !!
@ ^ [Y1: ( a > a > a ) > a] :
( ( '#sk1'
@ ( Y0
@ ^ [Y2: a,Y3: a] : Y2 )
@ ( Y0
@ ^ [Y2: a,Y3: a] : Y3 )
@ ( Y1
@ ^ [Y2: a,Y3: a] : Y2 )
@ ( Y1
@ ^ [Y2: a,Y3: a] : Y3 ) )
=> ( Y0 = Y1 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl4,plain,
! [X2: ( a > a > a ) > a] :
( !!
@ ^ [Y0: ( a > a > a ) > a] :
( ( '#sk1'
@ ( X2
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( X2
@ ^ [Y1: a,Y2: a] : Y2 )
@ ( Y0
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( Y0
@ ^ [Y1: a,Y2: a] : Y2 ) )
=> ( X2 = Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl6,plain,
! [X2: ( a > a > a ) > a,X4: ( a > a > a ) > a] :
( ( '#sk1'
@ ( X2
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( X2
@ ^ [Y0: a,Y1: a] : Y1 )
@ ( X4
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( X4
@ ^ [Y0: a,Y1: a] : Y1 ) )
=> ( X2 = X4 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl8,plain,
! [X2: ( a > a > a ) > a,X4: ( a > a > a ) > a] :
( ~ ( '#sk1'
@ ( X2
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( X2
@ ^ [Y0: a,Y1: a] : Y1 )
@ ( X4
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( X4
@ ^ [Y0: a,Y1: a] : Y1 ) )
| ( X2 = X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl10,plain,
! [X2: ( a > a > a ) > a,X4: ( a > a > a ) > a] :
( ~ ( '#sk1'
@ ( X2
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( X2
@ ^ [Y0: a,Y1: a] : Y1 )
@ ( X4
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( X4
@ ^ [Y0: a,Y1: a] : Y1 ) )
| ( X2 = X4 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl16,plain,
! [X0: ( a > a > a ) > a] :
( ( ^ [Y0: a > a > a] :
( Y0
@ ( ^ [Y1: a > a > a] : '#sk2'
@ Y0 )
@ ( ^ [Y1: a > a > a] : '#sk4'
@ Y0 ) ) )
= ( ^ [Y0: a > a > a] :
( Y0
@ ( ^ [Y1: a > a > a] :
( Y1
@ ( ^ [Y2: a > a > a] : '#sk7'
@ Y1 )
@ ( X0 @ Y1 ) )
@ Y0 )
@ ( ^ [Y1: a > a > a] : '#sk12'
@ Y0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl10]) ).
thf(zip_derived_cl17,plain,
! [X0: ( a > a > a ) > a] :
( ( ^ [Y0: a > a > a] : ( Y0 @ '#sk2' @ '#sk4' ) )
= ( ^ [Y0: a > a > a] : ( Y0 @ ( Y0 @ '#sk7' @ ( X0 @ Y0 ) ) @ '#sk12' ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl18,plain,
! [X0: ( a > a > a ) > a,X1: a > a > a] :
( ( ^ [Y0: a > a > a] : ( Y0 @ '#sk2' @ '#sk4' )
@ X1 )
= ( ^ [Y0: a > a > a] : ( Y0 @ ( Y0 @ '#sk7' @ ( X0 @ Y0 ) ) @ '#sk12' )
@ X1 ) ),
inference(ho_complete_eq,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl19,plain,
! [X0: ( a > a > a ) > a,X1: a > a > a] :
( ( X1 @ '#sk2' @ '#sk4' )
= ( X1 @ ( X1 @ '#sk7' @ ( X0 @ X1 ) ) @ '#sk12' ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl20,plain,
! [X0: a,X1: a > a > a] :
( ( X1 @ '#sk2' @ '#sk4' )
= ( X1
@ ( X1 @ '#sk7'
@ ( ^ [Y0: a > a > a] : X0
@ X1 ) )
@ '#sk12' ) ),
inference(prune_arg_fun,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl21,plain,
! [X0: a,X1: a > a > a] :
( ( X1 @ '#sk2' @ '#sk4' )
= ( X1 @ ( X1 @ '#sk7' @ X0 ) @ '#sk12' ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl21_001,plain,
! [X0: a,X1: a > a > a] :
( ( X1 @ '#sk2' @ '#sk4' )
= ( X1 @ ( X1 @ '#sk7' @ X0 ) @ '#sk12' ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl48,plain,
( ( ^ [Y0: a,Y1: a] : '#sk7'
@ '#sk2'
@ '#sk4' )
= ( ^ [Y0: a,Y1: a] : Y0
@ '#sk2'
@ '#sk4' ) ),
inference('sup+',[status(thm)],[zip_derived_cl21,zip_derived_cl21]) ).
thf(zip_derived_cl56,plain,
'#sk7' = '#sk2',
inference(ho_norm,[status(thm)],[zip_derived_cl48]) ).
thf(zip_derived_cl21_002,plain,
! [X0: a,X1: a > a > a] :
( ( X1 @ '#sk2' @ '#sk4' )
= ( X1 @ ( X1 @ '#sk7' @ X0 ) @ '#sk12' ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl13,plain,
~ ( ( '#sk4' = '#sk12' )
& ( '#sk2' = '#sk7' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl14,plain,
( ( '#sk4' != '#sk12' )
| ( '#sk2' != '#sk7' ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl15,plain,
( ( '#sk4' != '#sk12' )
| ( '#sk2' != '#sk7' ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl52,plain,
! [X0: a] :
( ( ( ^ [Y0: a,Y1: a] : Y1
@ ( ^ [Y0: a,Y1: a] : Y1
@ '#sk7'
@ X0 )
@ '#sk12' )
!= '#sk12' )
| ( '#sk2' != '#sk7' ) ),
inference('sup-',[status(thm)],[zip_derived_cl21,zip_derived_cl15]) ).
thf(zip_derived_cl84,plain,
( ( '#sk12' != '#sk12' )
| ( '#sk2' != '#sk7' ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl52]) ).
thf(zip_derived_cl85,plain,
'#sk2' != '#sk7',
inference(simplify,[status(thm)],[zip_derived_cl84]) ).
thf(zip_derived_cl176,plain,
'#sk2' != '#sk2',
inference('sup-',[status(thm)],[zip_derived_cl56,zip_derived_cl85]) ).
thf(zip_derived_cl184,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl176]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEV167^5 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.XZhbRCQXSq true
% 0.13/0.35 % Computer : n003.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 24 03:41:37 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.36 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % 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
% 0.21/0.73 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 1.03/0.76 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 1.03/0.76 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 1.03/0.76 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 1.03/0.77 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 1.03/0.77 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 1.03/0.78 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.03/0.78 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.41/0.82 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 1.41/0.82 % Solved by lams/35_full_unif4.sh.
% 1.41/0.82 % done 6 iterations in 0.040s
% 1.41/0.82 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.41/0.82 % SZS output start Refutation
% See solution above
% 1.41/0.82
% 1.41/0.82
% 1.41/0.82 % Terminating...
% 1.68/0.88 % Runner terminated.
% 1.68/0.89 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------