TSTP Solution File: PUZ087^1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : PUZ087^1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.EUDtox8kiI true
% Computer : n015.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 Aug 31 13:31:06 EDT 2023
% Result : Theorem 41.04s 5.97s
% Output : Refutation 41.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 44
% Syntax : Number of formulae : 113 ( 28 unt; 16 typ; 0 def)
% Number of atoms : 488 ( 18 equ; 61 cnn)
% Maximal formula atoms : 12 ( 5 avg)
% Number of connectives : 888 ( 124 ~; 128 |; 0 &; 596 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 91 ( 91 >; 0 *; 0 +; 0 <<)
% Number of symbols : 20 ( 16 usr; 5 con; 0-3 aty)
% ( 40 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 189 ( 80 ^; 109 !; 0 ?; 189 :)
% Comments :
%------------------------------------------------------------------------------
thf(mbox_type,type,
mbox: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf(a_type,type,
a: $i > $i > $o ).
thf('#sk1_type',type,
'#sk1': $i ).
thf(ws_type,type,
ws: ( $i > $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('#sk78_type',type,
'#sk78': $i > $i ).
thf('#sk59_type',type,
'#sk59': $i > $i ).
thf(b_type,type,
b: $i > $i > $o ).
thf('#sk2_type',type,
'#sk2': $i ).
thf(c_type,type,
c: $i > $i > $o ).
thf('#sk193_type',type,
'#sk193': $i > ( $i > $o ) > $i ).
thf(fool_type,type,
fool: $i > $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(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(conj,conjecture,
mvalid @ ( mbox @ c @ ( ws @ c ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i,X6: $i] :
( ~ ( c @ X4 @ X6 )
| ( ws @ c @ X6 ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i,X6: $i] :
( ~ ( c @ X4 @ X6 )
| ( ws @ c @ X6 ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl32,plain,
~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( (~) @ ( c @ Y0 @ Y1 ) )
| ( ws @ c @ Y1 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl35,plain,
~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( c @ '#sk1' @ Y0 ) )
| ( ws @ c @ Y0 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl32]) ).
thf(zip_derived_cl36,plain,
~ ( ( (~) @ ( c @ '#sk1' @ '#sk2' ) )
| ( ws @ c @ '#sk2' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl35]) ).
thf(zip_derived_cl38,plain,
~ ( ws @ c @ '#sk2' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl36]) ).
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(t_axiom_for_fool,axiom,
( mvalid
@ ( mforall_prop
@ ^ [A: $i > $o] : ( mimplies @ ( mbox @ fool @ A ) @ A ) ) ) ).
thf(zf_stmt_2,axiom,
! [X4: $i,X6: $i > $o] :
( ( X6 @ X4 )
| ~ ! [X8: $i] :
( ~ ( fool @ X4 @ X8 )
| ( X6 @ X8 ) ) ) ).
thf(zip_derived_cl13,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( fool @ Y0 @ Y2 ) )
| ( Y1 @ Y2 ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl88,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i > $o] :
( ( Y0 @ X2 )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( fool @ X2 @ Y1 ) )
| ( Y0 @ Y1 ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl89,plain,
! [X2: $i,X4: $i > $o] :
( ( X4 @ X2 )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( fool @ X2 @ Y0 ) )
| ( X4 @ Y0 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl88]) ).
thf(zip_derived_cl90,plain,
! [X2: $i,X4: $i > $o] :
( ( X4 @ X2 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( fool @ X2 @ Y0 ) )
| ( X4 @ Y0 ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl89]) ).
thf(zip_derived_cl91,plain,
! [X2: $i,X4: $i > $o] :
( ~ ( ( (~) @ ( fool @ X2 @ ( '#sk193' @ X2 @ X4 ) ) )
| ( X4 @ ( '#sk193' @ X2 @ X4 ) ) )
| ( X4 @ X2 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl90]) ).
thf(zip_derived_cl92,plain,
! [X2: $i,X4: $i > $o] :
( ( fool @ X2 @ ( '#sk193' @ X2 @ X4 ) )
| ( X4 @ X2 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl91]) ).
thf(zip_derived_cl93,plain,
! [X2: $i,X4: $i > $o] :
( ~ ( X4 @ ( '#sk193' @ X2 @ X4 ) )
| ( X4 @ X2 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl91]) ).
thf(zip_derived_cl389,plain,
! [X0: $i] :
( ( fool @ X0 @ X0 )
| ( fool @ X0 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl92,zip_derived_cl93]) ).
thf(zip_derived_cl417,plain,
! [X0: $i] : ( fool @ X0 @ X0 ),
inference(simplify,[status(thm)],[zip_derived_cl389]) ).
thf(axiom_1,axiom,
mvalid @ ( mbox @ fool @ ( mor @ ( ws @ a ) @ ( mor @ ( ws @ b ) @ ( ws @ c ) ) ) ) ).
thf(zf_stmt_3,axiom,
! [X4: $i,X6: $i] :
( ~ ( fool @ X4 @ X6 )
| ( ws @ c @ X6 )
| ( ws @ b @ X6 )
| ( ws @ a @ X6 ) ) ).
thf(zip_derived_cl0,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( (~) @ ( fool @ Y0 @ Y1 ) )
| ( ws @ c @ Y1 )
| ( ws @ b @ Y1 )
| ( ws @ a @ Y1 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl81,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( ( (~) @ ( fool @ X2 @ Y0 ) )
| ( ws @ c @ Y0 )
| ( ws @ b @ Y0 )
| ( ws @ a @ Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl82,plain,
! [X2: $i,X4: $i] :
( ( (~) @ ( fool @ X2 @ X4 ) )
| ( ws @ c @ X4 )
| ( ws @ b @ X4 )
| ( ws @ a @ X4 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl81]) ).
thf(zip_derived_cl83,plain,
! [X2: $i,X4: $i] :
( ~ ( fool @ X2 @ X4 )
| ( ws @ c @ X4 )
| ( ws @ b @ X4 )
| ( ws @ a @ X4 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl82]) ).
thf(zip_derived_cl620,plain,
! [X0: $i] :
( ( ws @ a @ X0 )
| ( ws @ b @ X0 )
| ( ws @ c @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl417,zip_derived_cl83]) ).
thf(zip_derived_cl417_001,plain,
! [X0: $i] : ( fool @ X0 @ X0 ),
inference(simplify,[status(thm)],[zip_derived_cl389]) ).
thf(axiom_5,axiom,
mvalid @ ( mnot @ ( mbox @ b @ ( ws @ b ) ) ) ).
thf(zf_stmt_4,axiom,
! [X4: $i] :
~ ! [X6: $i] :
( ~ ( b @ X4 @ X6 )
| ( ws @ b @ X6 ) ) ).
thf(zip_derived_cl31,plain,
( !!
@ ^ [Y0: $i] :
( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( b @ Y0 @ Y1 ) )
| ( ws @ b @ Y1 ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl65,plain,
! [X2: $i] :
~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( b @ X2 @ Y0 ) )
| ( ws @ b @ Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl31]) ).
thf(zip_derived_cl66,plain,
! [X2: $i] :
~ ( ( (~) @ ( b @ X2 @ ( '#sk78' @ X2 ) ) )
| ( ws @ b @ ( '#sk78' @ X2 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl65]) ).
thf(zip_derived_cl67,plain,
! [X2: $i] : ( b @ X2 @ ( '#sk78' @ X2 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl66]) ).
thf(axiom_3_c_b,axiom,
mvalid @ ( mbox @ fool @ ( mimplies @ ( mnot @ ( ws @ c ) ) @ ( mbox @ b @ ( mnot @ ( ws @ c ) ) ) ) ) ).
thf(zf_stmt_5,axiom,
! [X4: $i,X6: $i] :
( ~ ( fool @ X4 @ X6 )
| ! [X8: $i] :
( ~ ( b @ X6 @ X8 )
| ~ ( ws @ c @ X8 ) )
| ( ws @ c @ X6 ) ) ).
thf(zip_derived_cl12,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( (~) @ ( fool @ Y0 @ Y1 ) )
| ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( b @ Y1 @ Y2 ) )
| ( (~) @ ( ws @ c @ Y2 ) ) ) )
| ( ws @ c @ Y1 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl2086,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( ( (~) @ ( fool @ X2 @ Y0 ) )
| ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( b @ Y0 @ Y1 ) )
| ( (~) @ ( ws @ c @ Y1 ) ) ) )
| ( ws @ c @ Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl2087,plain,
! [X2: $i,X4: $i] :
( ( (~) @ ( fool @ X2 @ X4 ) )
| ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( b @ X4 @ Y0 ) )
| ( (~) @ ( ws @ c @ Y0 ) ) ) )
| ( ws @ c @ X4 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl2086]) ).
thf(zip_derived_cl2088,plain,
! [X2: $i,X4: $i] :
( ~ ( fool @ X2 @ X4 )
| ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( b @ X4 @ Y0 ) )
| ( (~) @ ( ws @ c @ Y0 ) ) ) )
| ( ws @ c @ X4 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl2087]) ).
thf(zip_derived_cl2089,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( (~) @ ( b @ X4 @ X6 ) )
| ( (~) @ ( ws @ c @ X6 ) )
| ( ws @ c @ X4 )
| ~ ( fool @ X2 @ X4 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl2088]) ).
thf(zip_derived_cl2090,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( b @ X4 @ X6 )
| ~ ( ws @ c @ X6 )
| ~ ( fool @ X2 @ X4 )
| ( ws @ c @ X4 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl2089]) ).
thf(zip_derived_cl2091,plain,
! [X0: $i,X1: $i] :
( ( ws @ c @ X0 )
| ~ ( fool @ X1 @ X0 )
| ~ ( ws @ c @ ( '#sk78' @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl67,zip_derived_cl2090]) ).
thf(zip_derived_cl2153,plain,
! [X0: $i] :
( ~ ( ws @ c @ ( '#sk78' @ X0 ) )
| ( ws @ c @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl417,zip_derived_cl2091]) ).
thf(zip_derived_cl2248,plain,
! [X0: $i] :
( ( ws @ b @ ( '#sk78' @ X0 ) )
| ( ws @ a @ ( '#sk78' @ X0 ) )
| ( ws @ c @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl620,zip_derived_cl2153]) ).
thf(zip_derived_cl68,plain,
! [X2: $i] :
~ ( ws @ b @ ( '#sk78' @ X2 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl66]) ).
thf(zip_derived_cl2461,plain,
! [X0: $i] :
( ( ws @ c @ X0 )
| ( ws @ a @ ( '#sk78' @ X0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl2248,zip_derived_cl68]) ).
thf(zip_derived_cl417_002,plain,
! [X0: $i] : ( fool @ X0 @ X0 ),
inference(simplify,[status(thm)],[zip_derived_cl389]) ).
thf(zip_derived_cl67_003,plain,
! [X2: $i] : ( b @ X2 @ ( '#sk78' @ X2 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl66]) ).
thf(axiom_3_a_b,axiom,
mvalid @ ( mbox @ fool @ ( mimplies @ ( mnot @ ( ws @ a ) ) @ ( mbox @ b @ ( mnot @ ( ws @ a ) ) ) ) ) ).
thf(zf_stmt_6,axiom,
! [X4: $i,X6: $i] :
( ~ ( fool @ X4 @ X6 )
| ! [X8: $i] :
( ~ ( b @ X6 @ X8 )
| ~ ( ws @ a @ X8 ) )
| ( ws @ a @ X6 ) ) ).
thf(zip_derived_cl7,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( (~) @ ( fool @ Y0 @ Y1 ) )
| ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( b @ Y1 @ Y2 ) )
| ( (~) @ ( ws @ a @ Y2 ) ) ) )
| ( ws @ a @ Y1 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl1025,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( ( (~) @ ( fool @ X2 @ Y0 ) )
| ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( b @ Y0 @ Y1 ) )
| ( (~) @ ( ws @ a @ Y1 ) ) ) )
| ( ws @ a @ Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl1026,plain,
! [X2: $i,X4: $i] :
( ( (~) @ ( fool @ X2 @ X4 ) )
| ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( b @ X4 @ Y0 ) )
| ( (~) @ ( ws @ a @ Y0 ) ) ) )
| ( ws @ a @ X4 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1025]) ).
thf(zip_derived_cl1027,plain,
! [X2: $i,X4: $i] :
( ~ ( fool @ X2 @ X4 )
| ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( b @ X4 @ Y0 ) )
| ( (~) @ ( ws @ a @ Y0 ) ) ) )
| ( ws @ a @ X4 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl1026]) ).
thf(zip_derived_cl1028,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( (~) @ ( b @ X4 @ X6 ) )
| ( (~) @ ( ws @ a @ X6 ) )
| ( ws @ a @ X4 )
| ~ ( fool @ X2 @ X4 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1027]) ).
thf(zip_derived_cl1029,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( b @ X4 @ X6 )
| ~ ( ws @ a @ X6 )
| ~ ( fool @ X2 @ X4 )
| ( ws @ a @ X4 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl1028]) ).
thf(zip_derived_cl1030,plain,
! [X0: $i,X1: $i] :
( ( ws @ a @ X0 )
| ~ ( fool @ X1 @ X0 )
| ~ ( ws @ a @ ( '#sk78' @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl67,zip_derived_cl1029]) ).
thf(zip_derived_cl3346,plain,
! [X0: $i] :
( ~ ( ws @ a @ ( '#sk78' @ X0 ) )
| ( ws @ a @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl417,zip_derived_cl1030]) ).
thf(zip_derived_cl3363,plain,
! [X0: $i] :
( ( ws @ c @ X0 )
| ( ws @ a @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl2461,zip_derived_cl3346]) ).
thf(zip_derived_cl417_004,plain,
! [X0: $i] : ( fool @ X0 @ X0 ),
inference(simplify,[status(thm)],[zip_derived_cl389]) ).
thf(axiom_4,axiom,
mvalid @ ( mnot @ ( mbox @ a @ ( ws @ a ) ) ) ).
thf(zf_stmt_7,axiom,
! [X4: $i] :
~ ! [X6: $i] :
( ~ ( a @ X4 @ X6 )
| ( ws @ a @ X6 ) ) ).
thf(zip_derived_cl30,plain,
( !!
@ ^ [Y0: $i] :
( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( a @ Y0 @ Y1 ) )
| ( ws @ a @ Y1 ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl57,plain,
! [X2: $i] :
~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( a @ X2 @ Y0 ) )
| ( ws @ a @ Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl30]) ).
thf(zip_derived_cl58,plain,
! [X2: $i] :
~ ( ( (~) @ ( a @ X2 @ ( '#sk59' @ X2 ) ) )
| ( ws @ a @ ( '#sk59' @ X2 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl57]) ).
thf(zip_derived_cl59,plain,
! [X2: $i] : ( a @ X2 @ ( '#sk59' @ X2 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl58]) ).
thf(axiom_3_c_a,axiom,
mvalid @ ( mbox @ fool @ ( mimplies @ ( mnot @ ( ws @ c ) ) @ ( mbox @ a @ ( mnot @ ( ws @ c ) ) ) ) ) ).
thf(zf_stmt_8,axiom,
! [X4: $i,X6: $i] :
( ~ ( fool @ X4 @ X6 )
| ! [X8: $i] :
( ~ ( a @ X6 @ X8 )
| ~ ( ws @ c @ X8 ) )
| ( ws @ c @ X6 ) ) ).
thf(zip_derived_cl11,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( (~) @ ( fool @ Y0 @ Y1 ) )
| ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( a @ Y1 @ Y2 ) )
| ( (~) @ ( ws @ c @ Y2 ) ) ) )
| ( ws @ c @ Y1 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_8]) ).
thf(zip_derived_cl1881,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( ( (~) @ ( fool @ X2 @ Y0 ) )
| ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( a @ Y0 @ Y1 ) )
| ( (~) @ ( ws @ c @ Y1 ) ) ) )
| ( ws @ c @ Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl1882,plain,
! [X2: $i,X4: $i] :
( ( (~) @ ( fool @ X2 @ X4 ) )
| ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( a @ X4 @ Y0 ) )
| ( (~) @ ( ws @ c @ Y0 ) ) ) )
| ( ws @ c @ X4 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1881]) ).
thf(zip_derived_cl1883,plain,
! [X2: $i,X4: $i] :
( ~ ( fool @ X2 @ X4 )
| ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( a @ X4 @ Y0 ) )
| ( (~) @ ( ws @ c @ Y0 ) ) ) )
| ( ws @ c @ X4 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl1882]) ).
thf(zip_derived_cl1884,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( (~) @ ( a @ X4 @ X6 ) )
| ( (~) @ ( ws @ c @ X6 ) )
| ( ws @ c @ X4 )
| ~ ( fool @ X2 @ X4 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1883]) ).
thf(zip_derived_cl1885,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( a @ X4 @ X6 )
| ~ ( ws @ c @ X6 )
| ~ ( fool @ X2 @ X4 )
| ( ws @ c @ X4 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl1884]) ).
thf(zip_derived_cl1886,plain,
! [X0: $i,X1: $i] :
( ( ws @ c @ X0 )
| ~ ( fool @ X1 @ X0 )
| ~ ( ws @ c @ ( '#sk59' @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl59,zip_derived_cl1885]) ).
thf(zip_derived_cl2027,plain,
! [X0: $i] :
( ~ ( ws @ c @ ( '#sk59' @ X0 ) )
| ( ws @ c @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl417,zip_derived_cl1886]) ).
thf(zip_derived_cl3714,plain,
! [X0: $i] :
( ( ws @ a @ ( '#sk59' @ X0 ) )
| ( ws @ c @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl3363,zip_derived_cl2027]) ).
thf(zip_derived_cl60,plain,
! [X2: $i] :
~ ( ws @ a @ ( '#sk59' @ X2 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl58]) ).
thf(zip_derived_cl4163,plain,
! [X0: $i] : ( ws @ c @ X0 ),
inference(clc,[status(thm)],[zip_derived_cl3714,zip_derived_cl60]) ).
thf(zip_derived_cl4164,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl38,zip_derived_cl4163]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : PUZ087^1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.EUDtox8kiI true
% 0.13/0.35 % Computer : n015.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat Aug 26 22:19:23 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.36 % Running in HO mode
% 0.20/0.66 % Total configuration time : 828
% 0.20/0.66 % Estimated wc time : 1656
% 0.20/0.66 % Estimated cpu time (8 cpus) : 207.0
% 0.20/0.73 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.20/0.76 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.20/0.76 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.20/0.78 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.20/0.78 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.20/0.78 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.20/0.83 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 1.68/1.08 % /export/starexec/sandbox/solver/bin/lams/35_full_unif.sh running for 56s
% 15.90/2.66 % /export/starexec/sandbox/solver/bin/lams/15_old_s4.sh running for 30s
% 41.04/5.97 % Solved by lams/15_e_short1.sh.
% 41.04/5.97 % done 276 iterations in 5.167s
% 41.04/5.97 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 41.04/5.97 % SZS output start Refutation
% See solution above
% 41.04/5.97
% 41.04/5.97
% 41.04/5.97 % Terminating...
% 42.52/6.17 % Runner terminated.
% 42.52/6.18 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------