TSTP Solution File: AGT028^2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : AGT028^2 : TPTP v8.1.2. Released v5.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.LoXoCEQTmc true
% Computer : n014.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 15:58:27 EDT 2023
% Result : Theorem 0.72s 0.81s
% Output : Refutation 0.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 34
% Syntax : Number of formulae : 59 ( 27 unt; 14 typ; 0 def)
% Number of atoms : 142 ( 21 equ; 15 cnn)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 260 ( 39 ~; 27 |; 0 &; 180 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 75 ( 75 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 13 usr; 5 con; 0-3 aty)
% ( 14 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 99 ( 61 ^; 38 !; 0 ?; 99 :)
% Comments :
%------------------------------------------------------------------------------
thf(mu_type,type,
mu: $tType ).
thf('#sk2_type',type,
'#sk2': mu > $i ).
thf(mbox_type,type,
mbox: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf(maths_teacher_type,type,
maths_teacher: mu > $i > $o ).
thf(mnot_type,type,
mnot: ( $i > $o ) > $i > $o ).
thf(mimplies_type,type,
mimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(john_type,type,
john: mu ).
thf(r4_type,type,
r4: $i > $i > $o ).
thf('#sk1_type',type,
'#sk1': $i ).
thf(good_in_maths_type,type,
good_in_maths: mu > $i > $o ).
thf(mor_type,type,
mor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(mexists_ind_type,type,
mexists_ind: ( mu > $i > $o ) > $i > $o ).
thf(mforall_ind_type,type,
mforall_ind: ( mu > $i > $o ) > $i > $o ).
thf(mvalid_type,type,
mvalid: ( $i > $o ) > $o ).
thf(mvalid,axiom,
( mvalid
= ( ^ [Phi: $i > $o] :
! [W: $i] : ( Phi @ W ) ) ) ).
thf('0',plain,
( mvalid
= ( ^ [Phi: $i > $o] :
! [W: $i] : ( Phi @ W ) ) ),
inference(simplify_rw_rule,[status(thm)],[mvalid]) ).
thf('1',plain,
( mvalid
= ( ^ [V_1: $i > $o] :
! [X4: $i] : ( V_1 @ X4 ) ) ),
define([status(thm)]) ).
thf(axiom_a6,axiom,
mvalid @ ( maths_teacher @ john ) ).
thf(zf_stmt_0,axiom,
! [X4: $i] : ( maths_teacher @ john @ X4 ) ).
thf(zip_derived_cl17,plain,
( !!
@ ^ [Y0: $i] : ( maths_teacher @ john @ Y0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl22,plain,
! [X2: $i] : ( maths_teacher @ john @ X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl17]) ).
thf(mbox,axiom,
( mbox
= ( ^ [R: $i > $i > $o,Phi: $i > $o,W: $i] :
! [V: $i] :
( ( Phi @ V )
| ~ ( R @ W @ V ) ) ) ) ).
thf('2',plain,
( mbox
= ( ^ [R: $i > $i > $o,Phi: $i > $o,W: $i] :
! [V: $i] :
( ( Phi @ V )
| ~ ( R @ W @ V ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mbox]) ).
thf('3',plain,
( mbox
= ( ^ [V_1: $i > $i > $o,V_2: $i > $o,V_3: $i] :
! [X4: $i] :
( ( V_2 @ X4 )
| ~ ( V_1 @ V_3 @ X4 ) ) ) ),
define([status(thm)]) ).
thf(mexists_ind,axiom,
( mexists_ind
= ( ^ [Phi: mu > $i > $o] :
( mnot
@ ( mforall_ind
@ ^ [X: mu] : ( mnot @ ( Phi @ X ) ) ) ) ) ) ).
thf(mforall_ind,axiom,
( mforall_ind
= ( ^ [Phi: mu > $i > $o,W: $i] :
! [X: mu] : ( Phi @ X @ W ) ) ) ).
thf('4',plain,
( mforall_ind
= ( ^ [Phi: mu > $i > $o,W: $i] :
! [X: mu] : ( Phi @ X @ W ) ) ),
inference(simplify_rw_rule,[status(thm)],[mforall_ind]) ).
thf('5',plain,
( mforall_ind
= ( ^ [V_1: mu > $i > $o,V_2: $i] :
! [X4: mu] : ( V_1 @ X4 @ V_2 ) ) ),
define([status(thm)]) ).
thf(mnot,axiom,
( mnot
= ( ^ [Phi: $i > $o,W: $i] :
~ ( Phi @ W ) ) ) ).
thf('6',plain,
( mnot
= ( ^ [Phi: $i > $o,W: $i] :
~ ( Phi @ W ) ) ),
inference(simplify_rw_rule,[status(thm)],[mnot]) ).
thf('7',plain,
( mnot
= ( ^ [V_1: $i > $o,V_2: $i] :
~ ( V_1 @ V_2 ) ) ),
define([status(thm)]) ).
thf('8',plain,
( mexists_ind
= ( ^ [Phi: mu > $i > $o] :
( mnot
@ ( mforall_ind
@ ^ [X: mu] : ( mnot @ ( Phi @ X ) ) ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mexists_ind,'5','7']) ).
thf('9',plain,
( mexists_ind
= ( ^ [V_1: mu > $i > $o] :
( mnot
@ ( mforall_ind
@ ^ [V_2: mu] : ( mnot @ ( V_1 @ V_2 ) ) ) ) ) ),
define([status(thm)]) ).
thf(conj,conjecture,
( mvalid
@ ( mexists_ind
@ ^ [X: mu] : ( mbox @ r4 @ ( good_in_maths @ X ) ) ) ) ).
thf(zf_stmt_1,conjecture,
! [X4: $i] :
~ ! [X6: mu] :
~ ! [X8: $i] :
( ~ ( r4 @ X4 @ X8 )
| ( good_in_maths @ X6 @ X8 ) ) ).
thf(zf_stmt_2,negated_conjecture,
~ ! [X4: $i] :
~ ! [X6: mu] :
~ ! [X8: $i] :
( ~ ( r4 @ X4 @ X8 )
| ( good_in_maths @ X6 @ X8 ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl21,plain,
~ ( !!
@ ^ [Y0: $i] :
( (~)
@ ( !!
@ ^ [Y1: mu] :
( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( r4 @ Y0 @ Y2 ) )
| ( good_in_maths @ Y1 @ Y2 ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl23,plain,
( !!
@ ^ [Y0: mu] :
( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( r4 @ '#sk1' @ Y1 ) )
| ( good_in_maths @ Y0 @ Y1 ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl24,plain,
! [X2: mu] :
~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( r4 @ '#sk1' @ Y0 ) )
| ( good_in_maths @ X2 @ Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl23]) ).
thf(zip_derived_cl25,plain,
! [X2: mu] :
~ ( ( (~) @ ( r4 @ '#sk1' @ ( '#sk2' @ X2 ) ) )
| ( good_in_maths @ X2 @ ( '#sk2' @ X2 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl26,plain,
! [X2: mu] : ( r4 @ '#sk1' @ ( '#sk2' @ X2 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl25]) ).
thf(mimplies,axiom,
( mimplies
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mor @ ( mnot @ Phi ) @ Psi ) ) ) ).
thf(mor,axiom,
( mor
= ( ^ [Phi: $i > $o,Psi: $i > $o,W: $i] :
( ( Phi @ W )
| ( Psi @ W ) ) ) ) ).
thf('10',plain,
( mor
= ( ^ [Phi: $i > $o,Psi: $i > $o,W: $i] :
( ( Phi @ W )
| ( Psi @ W ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mor]) ).
thf('11',plain,
( mor
= ( ^ [V_1: $i > $o,V_2: $i > $o,V_3: $i] :
( ( V_1 @ V_3 )
| ( V_2 @ V_3 ) ) ) ),
define([status(thm)]) ).
thf('12',plain,
( mimplies
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mor @ ( mnot @ Phi ) @ Psi ) ) ),
inference(simplify_rw_rule,[status(thm)],[mimplies,'11','7']) ).
thf('13',plain,
( mimplies
= ( ^ [V_1: $i > $o,V_2: $i > $o] : ( mor @ ( mnot @ V_1 ) @ V_2 ) ) ),
define([status(thm)]) ).
thf(axiom_r1,axiom,
( mvalid
@ ( mforall_ind
@ ^ [X: mu] : ( mimplies @ ( maths_teacher @ X ) @ ( mbox @ r4 @ ( good_in_maths @ X ) ) ) ) ) ).
thf(zf_stmt_3,axiom,
! [X4: $i,X6: mu] :
( ! [X8: $i] :
( ~ ( r4 @ X4 @ X8 )
| ( good_in_maths @ X6 @ X8 ) )
| ~ ( maths_teacher @ X6 @ X4 ) ) ).
thf(zip_derived_cl0,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: mu] :
( ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( r4 @ Y0 @ Y2 ) )
| ( good_in_maths @ Y1 @ Y2 ) ) )
| ( (~) @ ( maths_teacher @ Y1 @ Y0 ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl37,plain,
! [X2: $i] :
( !!
@ ^ [Y0: mu] :
( ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( r4 @ X2 @ Y1 ) )
| ( good_in_maths @ Y0 @ Y1 ) ) )
| ( (~) @ ( maths_teacher @ Y0 @ X2 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl38,plain,
! [X2: $i,X4: mu] :
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( r4 @ X2 @ Y0 ) )
| ( good_in_maths @ X4 @ Y0 ) ) )
| ( (~) @ ( maths_teacher @ X4 @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl37]) ).
thf(zip_derived_cl39,plain,
! [X2: $i,X4: mu] :
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( r4 @ X2 @ Y0 ) )
| ( good_in_maths @ X4 @ Y0 ) ) )
| ~ ( maths_teacher @ X4 @ X2 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl38]) ).
thf(zip_derived_cl40,plain,
! [X2: $i,X4: mu,X6: $i] :
( ( (~) @ ( r4 @ X2 @ X6 ) )
| ( good_in_maths @ X4 @ X6 )
| ~ ( maths_teacher @ X4 @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl39]) ).
thf(zip_derived_cl41,plain,
! [X2: $i,X4: mu,X6: $i] :
( ~ ( r4 @ X2 @ X6 )
| ( good_in_maths @ X4 @ X6 )
| ~ ( maths_teacher @ X4 @ X2 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl40]) ).
thf(zip_derived_cl42,plain,
! [X0: mu,X1: mu] :
( ~ ( maths_teacher @ X1 @ '#sk1' )
| ( good_in_maths @ X1 @ ( '#sk2' @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl26,zip_derived_cl41]) ).
thf(zip_derived_cl65,plain,
! [X0: mu] : ( good_in_maths @ john @ ( '#sk2' @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl22,zip_derived_cl42]) ).
thf(zip_derived_cl27,plain,
! [X2: mu] :
~ ( good_in_maths @ X2 @ ( '#sk2' @ X2 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl67,plain,
$false,
inference('sup-',[status(thm)],[zip_derived_cl65,zip_derived_cl27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : AGT028^2 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.LoXoCEQTmc true
% 0.13/0.34 % Computer : n014.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 : Sun Aug 27 17:21:31 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in HO mode
% 0.20/0.65 % Total configuration time : 828
% 0.20/0.65 % Estimated wc time : 1656
% 0.20/0.65 % Estimated cpu time (8 cpus) : 207.0
% 0.20/0.73 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.20/0.73 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.20/0.73 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.20/0.73 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.20/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.20/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.20/0.74 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.20/0.78 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.20/0.79 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 0.72/0.81 % Solved by lams/35_full_unif4.sh.
% 0.72/0.81 % done 11 iterations in 0.055s
% 0.72/0.81 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.72/0.81 % SZS output start Refutation
% See solution above
% 0.72/0.81
% 0.72/0.81
% 0.72/0.81 % Terminating...
% 1.82/0.84 % Runner terminated.
% 1.82/0.85 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------