TSTP Solution File: AGT028^1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : AGT028^1 : 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.cJIdqIb2Le true
% Computer : n004.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 0.15s 0.89s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 34
% Syntax : Number of formulae : 49 ( 27 unt; 14 typ; 0 def)
% Number of atoms : 89 ( 21 equ; 0 cnn)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 132 ( 19 ~; 13 |; 0 &; 100 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 75 ( 75 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 13 usr; 3 con; 0-3 aty)
% Number of variables : 75 ( 47 ^; 28 !; 0 ?; 75 :)
% Comments :
%------------------------------------------------------------------------------
thf(mu_type,type,
mu: $tType ).
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(sk__71_type,type,
sk__71: mu > $i ).
thf(r4_type,type,
r4: $i > $i > $o ).
thf(sk__70_type,type,
sk__70: $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(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_0,conjecture,
! [X4: $i] :
~ ! [X6: mu] :
~ ! [X8: $i] :
( ( good_in_maths @ X6 @ X8 )
| ~ ( r4 @ X4 @ X8 ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i] :
~ ! [X6: mu] :
~ ! [X8: $i] :
( ( good_in_maths @ X6 @ X8 )
| ~ ( r4 @ X4 @ X8 ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl142,plain,
! [X0: mu] : ( r4 @ sk__70 @ ( sk__71 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(axiom_a6,axiom,
mvalid @ ( maths_teacher @ john ) ).
thf(zf_stmt_2,axiom,
! [X4: $i] : ( maths_teacher @ john @ X4 ) ).
thf(zip_derived_cl33,plain,
! [X0: $i] : ( maths_teacher @ john @ X0 ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
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] :
( ~ ( maths_teacher @ X6 @ X4 )
| ! [X8: $i] :
( ( good_in_maths @ X6 @ X8 )
| ~ ( r4 @ X4 @ X8 ) ) ) ).
thf(zip_derived_cl0,plain,
! [X0: mu,X1: $i,X2: $i] :
( ~ ( maths_teacher @ X0 @ X1 )
| ~ ( r4 @ X1 @ X2 )
| ( good_in_maths @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl156,plain,
! [X0: $i,X1: $i] :
( ( good_in_maths @ john @ X1 )
| ~ ( r4 @ X0 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl33,zip_derived_cl0]) ).
thf(zip_derived_cl170,plain,
! [X0: mu] : ( good_in_maths @ john @ ( sk__71 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl142,zip_derived_cl156]) ).
thf(zip_derived_cl143,plain,
! [X0: mu] :
~ ( good_in_maths @ X0 @ ( sk__71 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl224,plain,
$false,
inference('sup-',[status(thm)],[zip_derived_cl170,zip_derived_cl143]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : AGT028^1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.11 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.cJIdqIb2Le true
% 0.09/0.31 % Computer : n004.cluster.edu
% 0.09/0.31 % Model : x86_64 x86_64
% 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31 % Memory : 8042.1875MB
% 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31 % CPULimit : 300
% 0.09/0.31 % WCLimit : 300
% 0.09/0.31 % DateTime : Sun Aug 27 17:25:52 EDT 2023
% 0.09/0.31 % CPUTime :
% 0.09/0.31 % Running portfolio for 300 s
% 0.09/0.31 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.31 % Number of cores: 8
% 0.09/0.31 % Python version: Python 3.6.8
% 0.09/0.31 % Running in HO mode
% 0.15/0.60 % Total configuration time : 828
% 0.15/0.60 % Estimated wc time : 1656
% 0.15/0.60 % Estimated cpu time (8 cpus) : 207.0
% 0.15/0.67 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.15/0.67 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.15/0.68 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.15/0.68 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.15/0.68 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.15/0.68 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.15/0.69 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.15/0.70 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.15/0.76 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 0.15/0.89 % Solved by lams/40_noforms.sh.
% 0.15/0.89 % done 17 iterations in 0.182s
% 0.15/0.89 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.15/0.89 % SZS output start Refutation
% See solution above
% 0.15/0.89
% 0.15/0.89
% 0.15/0.89 % Terminating...
% 3.14/1.01 % Runner terminated.
% 3.14/1.02 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------