TSTP Solution File: AGT032^1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : AGT032^1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.nCX9RgOZkQ true
% Computer : n024.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 15:58:28 EDT 2023
% Result : Theorem 1.57s 0.80s
% Output : Refutation 1.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 36
% Syntax : Number of formulae : 62 ( 29 unt; 14 typ; 0 def)
% Number of atoms : 118 ( 21 equ; 7 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 217 ( 23 ~; 9 |; 0 &; 163 @)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 70 ( 70 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 13 usr; 7 con; 0-3 aty)
% ( 13 !!; 2 ??; 0 @@+; 0 @@-)
% Number of variables : 103 ( 53 ^; 46 !; 4 ?; 103 :)
% Comments :
%------------------------------------------------------------------------------
thf(mu_type,type,
mu: $tType ).
thf(mbox_type,type,
mbox: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf(likes_type,type,
likes: mu > mu > $i > $o ).
thf(a1_type,type,
a1: $i > $i > $o ).
thf(mnot_type,type,
mnot: ( $i > $o ) > $i > $o ).
thf('#sk1_type',type,
'#sk1': $i > $i ).
thf(cola_type,type,
cola: mu ).
thf(mserial_type,type,
mserial: ( $i > $i > $o ) > $o ).
thf(msymmetric_type,type,
msymmetric: ( $i > $i > $o ) > $o ).
thf(jan_type,type,
jan: mu ).
thf('#sk4_type',type,
'#sk4': $i ).
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(mserial,axiom,
( mserial
= ( ^ [R: $i > $i > $o] :
! [S: $i] :
? [T: $i] : ( R @ S @ T ) ) ) ).
thf('0',plain,
( mserial
= ( ^ [R: $i > $i > $o] :
! [S: $i] :
? [T: $i] : ( R @ S @ T ) ) ),
inference(simplify_rw_rule,[status(thm)],[mserial]) ).
thf('1',plain,
( mserial
= ( ^ [V_1: $i > $i > $o] :
! [X4: $i] :
? [X6: $i] : ( V_1 @ X4 @ X6 ) ) ),
define([status(thm)]) ).
thf(axioms_D_a1,axiom,
mserial @ a1 ).
thf(zf_stmt_0,axiom,
! [X4: $i] :
? [X6: $i] : ( a1 @ X4 @ X6 ) ).
thf(zip_derived_cl21,plain,
( !!
@ ^ [Y0: $i] :
( ??
@ ^ [Y1: $i] : ( a1 @ Y0 @ Y1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl40,plain,
! [X2: $i] :
( ??
@ ^ [Y0: $i] : ( a1 @ X2 @ Y0 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl41,plain,
! [X2: $i] : ( a1 @ X2 @ ( '#sk1' @ X2 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl40]) ).
thf(msymmetric,axiom,
( msymmetric
= ( ^ [R: $i > $i > $o] :
! [S: $i,T: $i] :
( ( R @ S @ T )
=> ( R @ T @ S ) ) ) ) ).
thf('2',plain,
( msymmetric
= ( ^ [R: $i > $i > $o] :
! [S: $i,T: $i] :
( ( R @ S @ T )
=> ( R @ T @ S ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[msymmetric]) ).
thf('3',plain,
( msymmetric
= ( ^ [V_1: $i > $i > $o] :
! [X4: $i,X6: $i] :
( ( V_1 @ X4 @ X6 )
=> ( V_1 @ X6 @ X4 ) ) ) ),
define([status(thm)]) ).
thf(axioms_B_a1,axiom,
msymmetric @ a1 ).
thf(zf_stmt_1,axiom,
! [X4: $i,X6: $i] :
( ( a1 @ X4 @ X6 )
=> ( a1 @ X6 @ X4 ) ) ).
thf(zip_derived_cl18,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( a1 @ Y0 @ Y1 )
=> ( a1 @ Y1 @ Y0 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl46,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( ( a1 @ X2 @ Y0 )
=> ( a1 @ Y0 @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl47,plain,
! [X2: $i,X4: $i] :
( ( a1 @ X2 @ X4 )
=> ( a1 @ X4 @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl46]) ).
thf(zip_derived_cl48,plain,
! [X2: $i,X4: $i] :
( ~ ( a1 @ X2 @ X4 )
| ( a1 @ X4 @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl47]) ).
thf(zip_derived_cl49,plain,
! [X0: $i] : ( a1 @ ( '#sk1' @ X0 ) @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl41,zip_derived_cl48]) ).
thf(mvalid,axiom,
( mvalid
= ( ^ [Phi: $i > $o] :
! [W: $i] : ( Phi @ W ) ) ) ).
thf('4',plain,
( mvalid
= ( ^ [Phi: $i > $o] :
! [W: $i] : ( Phi @ W ) ) ),
inference(simplify_rw_rule,[status(thm)],[mvalid]) ).
thf('5',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('6',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('7',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(axiom_a1_1,axiom,
mvalid @ ( mbox @ a1 @ ( likes @ jan @ cola ) ) ).
thf(zf_stmt_2,axiom,
! [X4: $i,X6: $i] :
( ~ ( a1 @ X4 @ X6 )
| ( likes @ jan @ cola @ X6 ) ) ).
thf(zip_derived_cl0,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( (~) @ ( a1 @ Y0 @ Y1 ) )
| ( likes @ jan @ cola @ Y1 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl87,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( ( (~) @ ( a1 @ X2 @ Y0 ) )
| ( likes @ jan @ cola @ Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl88,plain,
! [X2: $i,X4: $i] :
( ( (~) @ ( a1 @ X2 @ X4 ) )
| ( likes @ jan @ cola @ X4 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl87]) ).
thf(zip_derived_cl89,plain,
! [X2: $i,X4: $i] :
( ~ ( a1 @ X2 @ X4 )
| ( likes @ jan @ cola @ X4 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl88]) ).
thf(zip_derived_cl90,plain,
! [X0: $i] : ( likes @ jan @ cola @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl49,zip_derived_cl89]) ).
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('8',plain,
( mforall_ind
= ( ^ [Phi: mu > $i > $o,W: $i] :
! [X: mu] : ( Phi @ X @ W ) ) ),
inference(simplify_rw_rule,[status(thm)],[mforall_ind]) ).
thf('9',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('10',plain,
( mnot
= ( ^ [Phi: $i > $o,W: $i] :
~ ( Phi @ W ) ) ),
inference(simplify_rw_rule,[status(thm)],[mnot]) ).
thf('11',plain,
( mnot
= ( ^ [V_1: $i > $o,V_2: $i] :
~ ( V_1 @ V_2 ) ) ),
define([status(thm)]) ).
thf('12',plain,
( mexists_ind
= ( ^ [Phi: mu > $i > $o] :
( mnot
@ ( mforall_ind
@ ^ [X: mu] : ( mnot @ ( Phi @ X ) ) ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mexists_ind,'9','11']) ).
thf('13',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] :
( mexists_ind
@ ^ [Y: mu] : ( likes @ X @ Y ) ) ) ) ).
thf(zf_stmt_3,conjecture,
! [X4: $i] :
~ ! [X6: mu,X8: mu] :
~ ( likes @ X6 @ X8 @ X4 ) ).
thf(zf_stmt_4,negated_conjecture,
~ ! [X4: $i] :
~ ! [X6: mu,X8: mu] :
~ ( likes @ X6 @ X8 @ X4 ),
inference('cnf.neg',[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl39,plain,
~ ( !!
@ ^ [Y0: $i] :
( (~)
@ ( !!
@ ^ [Y1: mu] :
( !!
@ ^ [Y2: mu] : ( (~) @ ( likes @ Y1 @ Y2 @ Y0 ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl67,plain,
( !!
@ ^ [Y0: mu] :
( !!
@ ^ [Y1: mu] : ( (~) @ ( likes @ Y0 @ Y1 @ '#sk4' ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl39]) ).
thf(zip_derived_cl68,plain,
! [X2: mu] :
( !!
@ ^ [Y0: mu] : ( (~) @ ( likes @ X2 @ Y0 @ '#sk4' ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl67]) ).
thf(zip_derived_cl69,plain,
! [X2: mu,X4: mu] :
~ ( likes @ X2 @ X4 @ '#sk4' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl68]) ).
thf(zip_derived_cl94,plain,
$false,
inference('sup-',[status(thm)],[zip_derived_cl90,zip_derived_cl69]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.14 % Problem : AGT032^1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.09/0.16 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.nCX9RgOZkQ true
% 0.15/0.35 % Computer : n024.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sun Aug 27 17:20:09 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % Running portfolio for 300 s
% 0.15/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.36 % Number of cores: 8
% 0.15/0.36 % Python version: Python 3.6.8
% 0.15/0.36 % 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
% 0.22/0.71 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.73 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 1.39/0.78 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.39/0.78 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 1.57/0.80 % Solved by lams/35_full_unif4.sh.
% 1.57/0.80 % done 13 iterations in 0.047s
% 1.57/0.80 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.57/0.80 % SZS output start Refutation
% See solution above
% 1.57/0.80
% 1.57/0.80
% 1.57/0.80 % Terminating...
% 1.57/0.86 % Runner terminated.
% 1.57/0.87 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------