%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : AGT030^1 : TPTP v9.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ixpqMEZvVl true
% Computer : n001.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 Oct 2 04:27:14 PM UTC 2025
% Result : Theorem 27.49s 4.18s
% Output : Refutation 27.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 30
% Syntax : Number of formulae : 47 ( 29 unt; 0 typ; 0 def)
% Number of atoms : 177 ( 27 equ; 16 cnn)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 299 ( 43 ~; 31 |; 0 &; 206 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 69 ( 69 >; 0 *; 0 +; 0 <<)
% Number of symbols : 19 ( 15 usr; 4 con; 0-3 aty)
% ( 19 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 115 ( 81 ^; 34 !; 0 ?; 115 :)
% 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(r1_type,type,
r1: $i > $i > $o ).
thf(mnot_type,type,
mnot: ( $i > $o ) > $i > $o ).
thf(mimplies_type,type,
mimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(mdia_type,type,
mdia: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf(john_type,type,
john: mu ).
thf(r2_type,type,
r2: $i > $i > $o ).
thf(r4_type,type,
r4: $i > $i > $o ).
thf(good_in_maths_type,type,
good_in_maths: mu > $i > $o ).
thf(mor_type,type,
mor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(mforall_prop_type,type,
mforall_prop: ( ( $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(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(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('6',plain,
( mor
= ( ^ [Phi: $i > $o,Psi: $i > $o,W: $i] :
( ( Phi @ W )
| ( Psi @ W ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mor]) ).
thf('7',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(mnot,axiom,
( mnot
= ( ^ [Phi: $i > $o,W: $i] :
~ ( Phi @ W ) ) ) ).
thf('8',plain,
( mnot
= ( ^ [Phi: $i > $o,W: $i] :
~ ( Phi @ W ) ) ),
inference(simplify_rw_rule,[status(thm)],[mnot]) ).
thf('9',plain,
( mnot
= ( ^ [V_1: $i > $o,V_2: $i] :
~ ( V_1 @ V_2 ) ) ),
define([status(thm)]) ).
thf('10',plain,
( mimplies
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mor @ ( mnot @ Phi ) @ Psi ) ) ),
inference(simplify_rw_rule,[status(thm)],[mimplies,'7','9']) ).
thf('11',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_0,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_0]) ).
thf(mforall_prop,axiom,
( mforall_prop
= ( ^ [Phi: ( $i > $o ) > $i > $o,W: $i] :
! [P: $i > $o] : ( Phi @ P @ W ) ) ) ).
thf('12',plain,
( mforall_prop
= ( ^ [Phi: ( $i > $o ) > $i > $o,W: $i] :
! [P: $i > $o] : ( Phi @ P @ W ) ) ),
inference(simplify_rw_rule,[status(thm)],[mforall_prop]) ).
thf('13',plain,
( mforall_prop
= ( ^ [V_1: ( $i > $o ) > $i > $o,V_2: $i] :
! [X4: $i > $o] : ( V_1 @ X4 @ V_2 ) ) ),
define([status(thm)]) ).
thf(axiom_I_for_r4_r2,axiom,
( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r4 @ Phi ) @ ( mbox @ r2 @ Phi ) ) ) ) ).
thf(zf_stmt_1,axiom,
! [X4: $i,X6: $i > $o] :
( ! [X10: $i] :
( ~ ( r2 @ X4 @ X10 )
| ( X6 @ X10 ) )
| ~ ! [X8: $i] :
( ~ ( r4 @ X4 @ X8 )
| ( X6 @ X8 ) ) ) ).
thf(zip_derived_cl31,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i > $o] :
( ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( r2 @ Y0 @ Y2 ) )
| ( Y1 @ Y2 ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( r4 @ Y0 @ Y2 ) )
| ( Y1 @ Y2 ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(mdia,axiom,
( mdia
= ( ^ [R: $i > $i > $o,Phi: $i > $o] : ( mnot @ ( mbox @ R @ ( mnot @ Phi ) ) ) ) ) ).
thf('14',plain,
( mdia
= ( ^ [R: $i > $i > $o,Phi: $i > $o] : ( mnot @ ( mbox @ R @ ( mnot @ Phi ) ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mdia,'3','9']) ).
thf('15',plain,
( mdia
= ( ^ [V_1: $i > $i > $o,V_2: $i > $o] : ( mnot @ ( mbox @ V_1 @ ( mnot @ V_2 ) ) ) ) ),
define([status(thm)]) ).
thf(mexists_ind,axiom,
( mexists_ind
= ( ^ [Phi: mu > $i > $o] :
( mnot
@ ( mforall_ind
@ ^ [X: mu] : ( mnot @ ( Phi @ X ) ) ) ) ) ) ).
thf('16',plain,
( mexists_ind
= ( ^ [Phi: mu > $i > $o] :
( mnot
@ ( mforall_ind
@ ^ [X: mu] : ( mnot @ ( Phi @ X ) ) ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mexists_ind,'5','9']) ).
thf('17',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] : ( mdia @ r1 @ ( good_in_maths @ X ) ) ) ) ).
thf(zf_stmt_2,conjecture,
! [X4: $i] :
~ ! [X6: mu,X8: $i] :
( ~ ( r1 @ X4 @ X8 )
| ~ ( good_in_maths @ X6 @ X8 ) ) ).
thf(zf_stmt_3,negated_conjecture,
~ ! [X4: $i] :
~ ! [X6: mu,X8: $i] :
( ~ ( r1 @ X4 @ X8 )
| ~ ( good_in_maths @ X6 @ X8 ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl66,plain,
~ ( !!
@ ^ [Y0: $i] :
( (~)
@ ( !!
@ ^ [Y1: mu] :
( !!
@ ^ [Y2: $i] :
( ( (~) @ ( r1 @ Y0 @ Y2 ) )
| ( (~) @ ( good_in_maths @ Y1 @ Y2 ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(axiom_a6,axiom,
mvalid @ ( maths_teacher @ john ) ).
thf(zf_stmt_4,axiom,
! [X4: $i] : ( maths_teacher @ john @ X4 ) ).
thf(zip_derived_cl17,plain,
( !!
@ ^ [Y0: $i] : ( maths_teacher @ john @ Y0 ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(axiom_I_for_r2_r1,axiom,
( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r2 @ Phi ) @ ( mbox @ r1 @ Phi ) ) ) ) ).
thf(zf_stmt_5,axiom,
! [X4: $i,X6: $i > $o] :
( ! [X10: $i] :
( ~ ( r1 @ X4 @ X10 )
| ( X6 @ X10 ) )
| ~ ! [X8: $i] :
( ~ ( r2 @ X4 @ X8 )
| ( X6 @ X8 ) ) ) ).
thf(zip_derived_cl26,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i > $o] :
( ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( r1 @ Y0 @ Y2 ) )
| ( Y1 @ Y2 ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( r2 @ Y0 @ Y2 ) )
| ( Y1 @ Y2 ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(axiom_D_for_r1,axiom,
( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r1 @ Phi ) @ ( mnot @ ( mbox @ r1 @ ( mnot @ Phi ) ) ) ) ) ) ).
thf(zf_stmt_6,axiom,
! [X4: $i,X6: $i > $o] :
( ~ ! [X10: $i] :
( ~ ( r1 @ X4 @ X10 )
| ~ ( X6 @ X10 ) )
| ~ ! [X8: $i] :
( ~ ( r1 @ X4 @ X8 )
| ( X6 @ X8 ) ) ) ).
thf(zip_derived_cl21,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i > $o] :
( ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( r1 @ Y0 @ Y2 ) )
| ( (~) @ ( Y1 @ Y2 ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( r1 @ Y0 @ Y2 ) )
| ( Y1 @ Y2 ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl3116,plain,
$false,
inference(eprover,[status(thm)],[zip_derived_cl0,zip_derived_cl31,zip_derived_cl66,zip_derived_cl17,zip_derived_cl26,zip_derived_cl21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : AGT030^1 : TPTP v9.2.0. Released v5.2.0.
% 0.11/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ixpqMEZvVl true
% 0.15/0.36 % Computer : n001.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Wed Oct 1 11:13:27 EDT 2025
% 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
% 0.15/0.37 % Running in HO mode
% 0.56/0.71 % Total configuration time : 828
% 0.56/0.71 % Estimated wc time : 1656
% 0.56/0.71 % Estimated cpu time (8 cpus) : 207.0
% 0.60/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.60/0.78 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.60/0.79 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.60/0.80 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.60/0.81 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.60/0.81 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.60/0.81 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.60/0.81 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.60/0.84 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 6.00/1.40 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif.sh running for 56s
% 6.61/1.48 % /export/starexec/sandbox2/solver/bin/lams/15_old_s4.sh running for 30s
% 9.47/1.88 % /export/starexec/sandbox2/solver/bin/lams/15_lifting3.sh running for 30s
% 27.49/4.18 % Solved by lams/15_e_short1.sh.
% 27.49/4.18 % done 117 iterations in 3.340s
% 27.49/4.18 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 27.49/4.18 % SZS output start Refutation
% See solution above
% 27.49/4.18
% 27.49/4.18
% 27.49/4.18 % Terminating...
% 27.92/4.22 % Runner terminated.
% 27.92/4.23 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------