TSTP Solution File: SEV224^5 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEV224^5 : 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.xUncr0Vizj true
% Computer : n005.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 20:00:05 EDT 2023
% Result : Theorem 1.46s 0.89s
% Output : Refutation 1.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 7
% Syntax : Number of formulae : 19 ( 2 unt; 6 typ; 0 def)
% Number of atoms : 80 ( 19 equ; 0 cnn)
% Maximal formula atoms : 9 ( 6 avg)
% Number of connectives : 204 ( 11 ~; 0 |; 12 &; 113 @)
% ( 11 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 13 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 82 ( 82 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 4 usr; 4 con; 0-2 aty)
% ( 24 !!; 15 ??; 0 @@+; 0 @@-)
% Number of variables : 66 ( 47 ^; 15 !; 4 ?; 66 :)
% Comments :
%------------------------------------------------------------------------------
thf(b_type,type,
b: $tType ).
thf(a_type,type,
a: $tType ).
thf('#sk3_type',type,
'#sk3': b > $o ).
thf('#sk1_type',type,
'#sk1': b > a > $o ).
thf('#sk8_type',type,
'#sk8': ( ( b > $o ) > $o ) > b > $o ).
thf('#sk2_type',type,
'#sk2': a ).
thf(cTHM142_1_pme,conjecture,
! [Xa: b > a > $o,Xy: a,Xr: b > $o] :
( ( Xr
= ( ^ [Xj: b] : ( Xa @ Xj @ Xy ) ) )
=> ? [Xp: ( b > $o ) > ( b > $o ) > $o] :
! [Xs: b > $o] :
( ! [S: a > $o] :
( ? [Xt: b] :
( ( Xs @ Xt )
& ( S
= ( Xa @ Xt ) ) )
=> ( S @ Xy ) )
<=> ( Xp @ Xr @ Xs ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [Xa: b > a > $o,Xy: a,Xr: b > $o] :
( ( Xr
= ( ^ [Xj: b] : ( Xa @ Xj @ Xy ) ) )
=> ? [Xp: ( b > $o ) > ( b > $o ) > $o] :
! [Xs: b > $o] :
( ! [S: a > $o] :
( ? [Xt: b] :
( ( Xs @ Xt )
& ( S
= ( Xa @ Xt ) ) )
=> ( S @ Xy ) )
<=> ( Xp @ Xr @ Xs ) ) ),
inference('cnf.neg',[status(esa)],[cTHM142_1_pme]) ).
thf(zip_derived_cl0,plain,
~ ( !!
@ ^ [Y0: b > a > $o] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: b > $o] :
( ( Y2
= ( ^ [Y3: b] : ( Y0 @ Y3 @ Y1 ) ) )
=> ( ??
@ ^ [Y3: ( b > $o ) > ( b > $o ) > $o] :
( !!
@ ^ [Y4: b > $o] :
( ( !!
@ ^ [Y5: a > $o] :
( ( ??
@ ^ [Y6: b] :
( ( Y4 @ Y6 )
& ( Y5
= ( Y0 @ Y6 ) ) ) )
=> ( Y5 @ Y1 ) ) )
<=> ( Y3 @ Y2 @ Y4 ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: b > $o] :
( ( Y1
= ( ^ [Y2: b] : ( '#sk1' @ Y2 @ Y0 ) ) )
=> ( ??
@ ^ [Y2: ( b > $o ) > ( b > $o ) > $o] :
( !!
@ ^ [Y3: b > $o] :
( ( !!
@ ^ [Y4: a > $o] :
( ( ??
@ ^ [Y5: b] :
( ( Y3 @ Y5 )
& ( Y4
= ( '#sk1' @ Y5 ) ) ) )
=> ( Y4 @ Y0 ) ) )
<=> ( Y2 @ Y1 @ Y3 ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl2,plain,
~ ( !!
@ ^ [Y0: b > $o] :
( ( Y0
= ( ^ [Y1: b] : ( '#sk1' @ Y1 @ '#sk2' ) ) )
=> ( ??
@ ^ [Y1: ( b > $o ) > ( b > $o ) > $o] :
( !!
@ ^ [Y2: b > $o] :
( ( !!
@ ^ [Y3: a > $o] :
( ( ??
@ ^ [Y4: b] :
( ( Y2 @ Y4 )
& ( Y3
= ( '#sk1' @ Y4 ) ) ) )
=> ( Y3 @ '#sk2' ) ) )
<=> ( Y1 @ Y0 @ Y2 ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl3,plain,
~ ( ( '#sk3'
= ( ^ [Y0: b] : ( '#sk1' @ Y0 @ '#sk2' ) ) )
=> ( ??
@ ^ [Y0: ( b > $o ) > ( b > $o ) > $o] :
( !!
@ ^ [Y1: b > $o] :
( ( !!
@ ^ [Y2: a > $o] :
( ( ??
@ ^ [Y3: b] :
( ( Y1 @ Y3 )
& ( Y2
= ( '#sk1' @ Y3 ) ) ) )
=> ( Y2 @ '#sk2' ) ) )
<=> ( Y0 @ '#sk3' @ Y1 ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl5,plain,
~ ( ??
@ ^ [Y0: ( b > $o ) > ( b > $o ) > $o] :
( !!
@ ^ [Y1: b > $o] :
( ( !!
@ ^ [Y2: a > $o] :
( ( ??
@ ^ [Y3: b] :
( ( Y1 @ Y3 )
& ( Y2
= ( '#sk1' @ Y3 ) ) ) )
=> ( Y2 @ '#sk2' ) ) )
<=> ( Y0 @ '#sk3' @ Y1 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl7,plain,
! [X2: ( b > $o ) > ( b > $o ) > $o] :
~ ( !!
@ ^ [Y0: b > $o] :
( ( !!
@ ^ [Y1: a > $o] :
( ( ??
@ ^ [Y2: b] :
( ( Y0 @ Y2 )
& ( Y1
= ( '#sk1' @ Y2 ) ) ) )
=> ( Y1 @ '#sk2' ) ) )
<=> ( X2 @ '#sk3' @ Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl17,plain,
! [X2: ( b > $o ) > $o] :
~ ( !!
@ ^ [Y0: b > $o] :
( ( !!
@ ^ [Y1: a > $o] :
( ( ??
@ ^ [Y2: b] :
( ( Y0 @ Y2 )
& ( Y1
= ( '#sk1' @ Y2 ) ) ) )
=> ( Y1 @ '#sk2' ) ) )
<=> ( ^ [Y1: b > $o,Y2: b > $o] : ( X2 @ Y2 )
@ '#sk3'
@ Y0 ) ) ),
inference(prune_arg_fun,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl18,plain,
! [X2: ( b > $o ) > $o] :
~ ( !!
@ ^ [Y0: b > $o] :
( ( !!
@ ^ [Y1: a > $o] :
( ( ??
@ ^ [Y2: b] :
( ( Y0 @ Y2 )
& ( Y1
= ( '#sk1' @ Y2 ) ) ) )
=> ( Y1 @ '#sk2' ) ) )
<=> ( X2 @ Y0 ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl19,plain,
! [X2: ( b > $o ) > $o] :
~ ( ( !!
@ ^ [Y0: a > $o] :
( ( ??
@ ^ [Y1: b] :
( ( '#sk8' @ X2 @ Y1 )
& ( Y0
= ( '#sk1' @ Y1 ) ) ) )
=> ( Y0 @ '#sk2' ) ) )
<=> ( X2 @ ( '#sk8' @ X2 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl20,plain,
! [X2: ( b > $o ) > $o] :
( ( !!
@ ^ [Y0: a > $o] :
( ( ??
@ ^ [Y1: b] :
( ( '#sk8' @ X2 @ Y1 )
& ( Y0
= ( '#sk1' @ Y1 ) ) ) )
=> ( Y0 @ '#sk2' ) ) )
!= ( X2 @ ( '#sk8' @ X2 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl100,plain,
$false,
inference(eq_res,[status(thm)],[zip_derived_cl20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEV224^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.xUncr0Vizj true
% 0.13/0.35 % Computer : n005.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 04:06:08 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
% 0.22/0.66 % Total configuration time : 828
% 0.22/0.66 % Estimated wc time : 1656
% 0.22/0.66 % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 1.11/0.77 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 1.11/0.77 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 1.11/0.77 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 1.11/0.78 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.11/0.78 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.46/0.89 % Solved by lams/30_sp5.sh.
% 1.46/0.89 % done 11 iterations in 0.086s
% 1.46/0.89 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.46/0.89 % SZS output start Refutation
% See solution above
% 1.46/0.89
% 1.46/0.89
% 1.46/0.89 % Terminating...
% 1.70/0.98 % Runner terminated.
% 1.70/0.99 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------