%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYO050^2 : TPTP v9.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.aaPIjxsvmS 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 : Thu Oct 2 05:06:18 PM UTC 2025
% Result : Theorem 0.90s 2.51s
% Output : Refutation 0.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 14
% Syntax : Number of formulae : 31 ( 20 unt; 0 typ; 0 def)
% Number of atoms : 77 ( 18 equ; 15 cnn)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 191 ( 32 ~; 27 |; 0 &; 117 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 69 ( 69 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 7 usr; 4 con; 0-3 aty)
% ( 14 !!; 1 ??; 0 @@+; 0 @@-)
% Number of variables : 94 ( 57 ^; 34 !; 3 ?; 94 :)
% Comments :
%------------------------------------------------------------------------------
thf(mbox_type,type,
mbox: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf(mnot_type,type,
mnot: ( $i > $o ) > $i > $o ).
thf(mimplies_type,type,
mimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf('#sk11_type',type,
'#sk11': ( $i > $o ) > ( $i > $o ) > $i ).
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(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_prop,axiom,
( mforall_prop
= ( ^ [Phi: ( $i > $o ) > $i > $o,W: $i] :
! [P: $i > $o] : ( Phi @ P @ W ) ) ) ).
thf('4',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('5',plain,
( mforall_prop
= ( ^ [V_1: ( $i > $o ) > $i > $o,V_2: $i] :
! [X4: $i > $o] : ( 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(conj,conjecture,
? [R: $i > $i > $o] :
~ ( mvalid
@ ( mforall_prop
@ ^ [A: $i > $o] : ( mimplies @ ( mbox @ R @ A ) @ A ) ) ) ).
thf(zf_stmt_0,conjecture,
? [X4: $i > $i > $o] :
~ ! [X6: $i,X8: $i > $o] :
( ( X8 @ X6 )
| ~ ! [X10: $i] :
( ~ ( X4 @ X6 @ X10 )
| ( X8 @ X10 ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ? [X4: $i > $i > $o] :
~ ! [X6: $i,X8: $i > $o] :
( ( X8 @ X6 )
| ~ ! [X10: $i] :
( ~ ( X4 @ X6 @ X10 )
| ( X8 @ X10 ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
~ ( ??
@ ^ [Y0: $i > $i > $o] :
( (~)
@ ( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i > $o] :
( ( Y2 @ Y1 )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( Y0 @ Y1 @ Y3 ) )
| ( Y2 @ Y3 ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
! [X2: $i > $i > $o] :
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( X2 @ Y0 @ Y2 ) )
| ( Y1 @ Y2 ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl2,plain,
! [X2: $i > $i > $o,X4: $i] :
( !!
@ ^ [Y0: $i > $o] :
( ( Y0 @ X4 )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( X2 @ X4 @ Y1 ) )
| ( Y0 @ Y1 ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl3,plain,
! [X2: $i > $o,X4: $i] :
( !!
@ ^ [Y0: $i > $o] :
( ( Y0 @ X4 )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~)
@ ( ^ [Y2: $i,Y3: $i] : ( X2 @ Y3 )
@ X4
@ Y1 ) )
| ( Y0 @ Y1 ) ) ) ) ) ),
inference(prune_arg_fun,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl4,plain,
! [X2: $i > $o,X4: $i] :
( !!
@ ^ [Y0: $i > $o] :
( ( Y0 @ X4 )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( X2 @ Y1 ) )
| ( Y0 @ Y1 ) ) ) ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl5,plain,
! [X2: $i > $o,X4: $i,X6: $i > $o] :
( ( X6 @ X4 )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( X2 @ Y0 ) )
| ( X6 @ Y0 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl6,plain,
! [X2: $i > $o,X4: $i,X6: $i > $o] :
( ( X6 @ X4 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( X2 @ Y0 ) )
| ( X6 @ Y0 ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl7,plain,
! [X2: $i > $o,X4: $i,X6: $i > $o] :
( ~ ( ( (~) @ ( X2 @ ( '#sk11' @ X2 @ X6 ) ) )
| ( X6 @ ( '#sk11' @ X2 @ X6 ) ) )
| ( X6 @ X4 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl8,plain,
! [X2: $i > $o,X4: $i,X6: $i > $o] :
( ( X2 @ ( '#sk11' @ X2 @ X6 ) )
| ( X6 @ X4 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl10,plain,
$false,
inference(flex_resolve,[status(thm)],[zip_derived_cl8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/1.05 % Problem : SYO050^2 : TPTP v9.2.0. Released v4.0.0.
% 0.09/1.16 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.aaPIjxsvmS true
% 0.09/1.51 % Computer : n014.cluster.edu
% 0.09/1.51 % Model : x86_64 x86_64
% 0.09/1.51 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/1.51 % Memory : 8042.1875MB
% 0.09/1.51 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/1.51 % CPULimit : 300
% 0.09/1.51 % WCLimit : 300
% 0.09/1.51 % DateTime : Wed Oct 1 18:09:09 EDT 2025
% 0.13/1.53 % CPUTime :
% 0.13/1.53 % Running portfolio for 300 s
% 0.13/1.53 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/1.54 % Number of cores: 8
% 0.13/1.55 % Python version: Python 3.6.8
% 0.13/1.57 % Running in HO mode
% 0.20/2.09 % Total configuration time : 828
% 0.20/2.09 % Estimated wc time : 1656
% 0.20/2.09 % Estimated cpu time (8 cpus) : 207.0
% 0.84/2.34 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.85/2.42 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.85/2.44 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.85/2.46 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.85/2.47 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.90/2.49 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.90/2.50 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.90/2.50 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.90/2.51 % Solved by lams/35_full_unif4.sh.
% 0.90/2.51 % done 0 iterations in 0.034s
% 0.90/2.51 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.90/2.51 % SZS output start Refutation
% See solution above
% 0.90/2.51
% 0.90/2.51
% 0.90/2.51 % Terminating...
% 1.14/2.72 % Runner terminated.
% 1.14/2.73 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------