TSTP Solution File: PUZ087^2 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : PUZ087^2 : TPTP v8.1.2. Released v5.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.WjnxP9eohb true
% Computer : n027.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 259.66s 34.31s
% Output : Refutation 259.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 70
% Syntax : Number of formulae : 126 ( 41 unt; 27 typ; 0 def)
% Number of atoms : 352 ( 19 equ; 8 cnn)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 827 ( 127 ~; 129 |; 0 &; 571 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 151 ( 151 >; 0 *; 0 +; 0 <<)
% Number of symbols : 30 ( 27 usr; 6 con; 0-3 aty)
% Number of variables : 221 ( 52 ^; 169 !; 0 ?; 221 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__29_type,type,
sk__29: $i ).
thf(sk__9_type,type,
sk__9: ( $i > $o ) > $i > $i ).
thf(mbox_type,type,
mbox: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf(sk__10_type,type,
sk__10: ( $i > $o ) > $i > $i ).
thf('#l_lift3543_type',type,
'#l_lift3543': ( $i > $o ) > $i > $o ).
thf(a_type,type,
a: $i > $i > $o ).
thf(sk__24_type,type,
sk__24: $i > $i ).
thf(sk__21_type,type,
sk__21: $i > ( $i > $o ) > $i ).
thf(ws_type,type,
ws: ( $i > $i > $o ) > $i > $o ).
thf(sk__25_type,type,
sk__25: $i > $i ).
thf(mnot_type,type,
mnot: ( $i > $o ) > $i > $o ).
thf(sk__30_type,type,
sk__30: $i ).
thf(mimplies_type,type,
mimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(sk__7_type,type,
sk__7: ( $i > $o ) > $i > $i ).
thf(sk__22_type,type,
sk__22: $i > ( $i > $o ) > $i ).
thf(priorG_type,type,
priorG: $i > $i > $o ).
thf(b_type,type,
b: $i > $i > $o ).
thf(c_type,type,
c: $i > $i > $o ).
thf(fool_type,type,
fool: $i > $i > $o ).
thf(sk__23_type,type,
sk__23: $i > ( $i > $o ) > $i ).
thf(sk__28_type,type,
sk__28: $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(sk__27_type,type,
sk__27: $i ).
thf(mvalid_type,type,
mvalid: ( $i > $o ) > $o ).
thf(sk__11_type,type,
sk__11: ( $i > $o ) > $i > $i ).
thf(sk__19_type,type,
sk__19: $i > ( $i > $o ) > $i ).
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(mnot,axiom,
( mnot
= ( ^ [Phi: $i > $o,W: $i] :
~ ( Phi @ W ) ) ) ).
thf('4',plain,
( mnot
= ( ^ [Phi: $i > $o,W: $i] :
~ ( Phi @ W ) ) ),
inference(simplify_rw_rule,[status(thm)],[mnot]) ).
thf('5',plain,
( mnot
= ( ^ [V_1: $i > $o,V_2: $i] :
~ ( V_1 @ V_2 ) ) ),
define([status(thm)]) ).
thf(axiom_5,axiom,
mvalid @ ( mbox @ priorG @ ( mbox @ priorG @ ( mnot @ ( mbox @ b @ ( ws @ b ) ) ) ) ) ).
thf(zf_stmt_0,axiom,
! [X4: $i,X6: $i] :
( ! [X8: $i] :
( ~ ! [X10: $i] :
( ( ws @ b @ X10 )
| ~ ( b @ X8 @ X10 ) )
| ~ ( priorG @ X6 @ X8 ) )
| ~ ( priorG @ X4 @ X6 ) ) ).
thf(zip_derived_cl52,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( priorG @ X0 @ X1 )
| ~ ( ws @ b @ ( sk__25 @ X1 ) )
| ~ ( priorG @ X2 @ X0 ) ),
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('6',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('7',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('8',plain,
( mor
= ( ^ [Phi: $i > $o,Psi: $i > $o,W: $i] :
( ( Phi @ W )
| ( Psi @ W ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mor]) ).
thf('9',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('10',plain,
( mimplies
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mor @ ( mnot @ Phi ) @ Psi ) ) ),
inference(simplify_rw_rule,[status(thm)],[mimplies,'9','5']) ).
thf('11',plain,
( mimplies
= ( ^ [V_1: $i > $o,V_2: $i > $o] : ( mor @ ( mnot @ V_1 ) @ V_2 ) ) ),
define([status(thm)]) ).
thf(i_axiom_for_fool_b,axiom,
( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ fool @ Phi ) @ ( mbox @ b @ Phi ) ) ) ) ).
thf(zf_stmt_1,axiom,
! [X4: $i,X6: $i > $o] :
( ~ ! [X8: $i] :
( ( X6 @ X8 )
| ~ ( fool @ X4 @ X8 ) )
| ! [X10: $i] :
( ( X6 @ X10 )
| ~ ( b @ X4 @ X10 ) ) ) ).
thf(zip_derived_cl21,plain,
! [X0: $i > $o,X1: $i,X2: $i] :
( ~ ( X0 @ ( sk__10 @ X0 @ X1 ) )
| ~ ( b @ X1 @ X2 )
| ( X0 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl22,plain,
! [X0: $i,X1: $i > $o,X2: $i] :
( ( fool @ X0 @ ( sk__10 @ X1 @ X0 ) )
| ~ ( b @ X0 @ X2 )
| ( X1 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(conj,conjecture,
mvalid @ ( mbox @ priorG @ ( mbox @ priorG @ ( mbox @ priorG @ ( mbox @ c @ ( ws @ c ) ) ) ) ) ).
thf(zf_stmt_2,conjecture,
! [X4: $i,X6: $i] :
( ! [X8: $i] :
( ! [X10: $i] :
( ! [X12: $i] :
( ( ws @ c @ X12 )
| ~ ( c @ X10 @ X12 ) )
| ~ ( priorG @ X8 @ X10 ) )
| ~ ( priorG @ X6 @ X8 ) )
| ~ ( priorG @ X4 @ X6 ) ) ).
thf(zf_stmt_3,negated_conjecture,
~ ! [X4: $i,X6: $i] :
( ! [X8: $i] :
( ! [X10: $i] :
( ! [X12: $i] :
( ( ws @ c @ X12 )
| ~ ( c @ X10 @ X12 ) )
| ~ ( priorG @ X8 @ X10 ) )
| ~ ( priorG @ X6 @ X8 ) )
| ~ ( priorG @ X4 @ X6 ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl56,plain,
c @ sk__29 @ sk__30,
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(a6_axiom_for_fool_c_b,axiom,
( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mnot @ ( mbox @ c @ Phi ) ) @ ( mbox @ b @ ( mnot @ ( mbox @ c @ Phi ) ) ) ) ) ) ).
thf(zf_stmt_4,axiom,
! [X4: $i,X6: $i > $o] :
( ! [X8: $i] :
( ( X6 @ X8 )
| ~ ( c @ X4 @ X8 ) )
| ! [X10: $i] :
( ~ ! [X12: $i] :
( ( X6 @ X12 )
| ~ ( c @ X10 @ X12 ) )
| ~ ( b @ X4 @ X10 ) ) ) ).
thf(zip_derived_cl47,plain,
! [X0: $i,X1: $i,X2: $i > $o,X3: $i] :
( ~ ( c @ X0 @ X1 )
| ( X2 @ X1 )
| ~ ( b @ X0 @ X3 )
| ~ ( X2 @ ( sk__23 @ X3 @ X2 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl1271,plain,
! [X0: $i > $o,X1: $i] :
( ~ ( X0 @ ( sk__23 @ X1 @ X0 ) )
| ~ ( b @ sk__29 @ X1 )
| ( X0 @ sk__30 ) ),
inference('sup-',[status(thm)],[zip_derived_cl56,zip_derived_cl47]) ).
thf(zip_derived_cl56_001,plain,
c @ sk__29 @ sk__30,
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl48,plain,
! [X0: $i,X1: $i,X2: $i > $o,X3: $i] :
( ~ ( c @ X0 @ X1 )
| ( X2 @ X1 )
| ~ ( b @ X0 @ X3 )
| ( c @ X3 @ ( sk__23 @ X3 @ X2 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl2373,plain,
! [X0: $i > $o,X1: $i] :
( ( c @ X1 @ ( sk__23 @ X1 @ X0 ) )
| ~ ( b @ sk__29 @ X1 )
| ( X0 @ sk__30 ) ),
inference('sup-',[status(thm)],[zip_derived_cl56,zip_derived_cl48]) ).
thf(a6_axiom_for_fool_b_c,axiom,
( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mnot @ ( mbox @ b @ Phi ) ) @ ( mbox @ c @ ( mnot @ ( mbox @ b @ Phi ) ) ) ) ) ) ).
thf(zf_stmt_5,axiom,
! [X4: $i,X6: $i > $o] :
( ! [X8: $i] :
( ( X6 @ X8 )
| ~ ( b @ X4 @ X8 ) )
| ! [X10: $i] :
( ~ ! [X12: $i] :
( ( X6 @ X12 )
| ~ ( b @ X10 @ X12 ) )
| ~ ( c @ X4 @ X10 ) ) ) ).
thf(zip_derived_cl43,plain,
! [X0: $i,X1: $i,X2: $i > $o,X3: $i] :
( ~ ( b @ X0 @ X1 )
| ( X2 @ X1 )
| ~ ( c @ X0 @ X3 )
| ~ ( X2 @ ( sk__21 @ X3 @ X2 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(axiom_2_b_c,axiom,
mvalid @ ( mbox @ fool @ ( mimplies @ ( ws @ b ) @ ( mbox @ c @ ( ws @ b ) ) ) ) ).
thf(zf_stmt_6,axiom,
! [X4: $i,X6: $i] :
( ~ ( ws @ b @ X6 )
| ! [X8: $i] :
( ( ws @ b @ X8 )
| ~ ( c @ X6 @ X8 ) )
| ~ ( fool @ X4 @ X6 ) ) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ws @ b @ X0 )
| ~ ( c @ X0 @ X1 )
| ( ws @ b @ X1 )
| ~ ( fool @ X2 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl57,plain,
priorG @ sk__27 @ sk__28,
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl44,plain,
! [X0: $i,X1: $i,X2: $i > $o,X3: $i] :
( ~ ( b @ X0 @ X1 )
| ( X2 @ X1 )
| ~ ( c @ X0 @ X3 )
| ( b @ X3 @ ( sk__21 @ X3 @ X2 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(axiom_4,axiom,
mvalid @ ( mbox @ priorG @ ( mnot @ ( mbox @ a @ ( ws @ a ) ) ) ) ).
thf(zf_stmt_7,axiom,
! [X4: $i,X6: $i] :
( ~ ! [X8: $i] :
( ( ws @ a @ X8 )
| ~ ( a @ X6 @ X8 ) )
| ~ ( priorG @ X4 @ X6 ) ) ).
thf(zip_derived_cl49,plain,
! [X0: $i,X1: $i] :
( ~ ( ws @ a @ ( sk__24 @ X0 ) )
| ~ ( priorG @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl54,plain,
priorG @ sk__28 @ sk__29,
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(i_axiom_for_fool_a,axiom,
( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ fool @ Phi ) @ ( mbox @ a @ Phi ) ) ) ) ).
thf(zf_stmt_8,axiom,
! [X4: $i,X6: $i > $o] :
( ~ ! [X8: $i] :
( ( X6 @ X8 )
| ~ ( fool @ X4 @ X8 ) )
| ! [X10: $i] :
( ( X6 @ X10 )
| ~ ( a @ X4 @ X10 ) ) ) ).
thf(zip_derived_cl19,plain,
! [X0: $i > $o,X1: $i,X2: $i] :
( ~ ( X0 @ ( sk__9 @ X0 @ X1 ) )
| ~ ( a @ X1 @ X2 )
| ( X0 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_8]) ).
thf(zip_derived_cl20,plain,
! [X0: $i,X1: $i > $o,X2: $i] :
( ( fool @ X0 @ ( sk__9 @ X1 @ X0 ) )
| ~ ( a @ X0 @ X2 )
| ( X1 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_8]) ).
thf(zip_derived_cl56_002,plain,
c @ sk__29 @ sk__30,
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(a6_axiom_for_fool_c_a,axiom,
( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mnot @ ( mbox @ c @ Phi ) ) @ ( mbox @ a @ ( mnot @ ( mbox @ c @ Phi ) ) ) ) ) ) ).
thf(zf_stmt_9,axiom,
! [X4: $i,X6: $i > $o] :
( ! [X8: $i] :
( ( X6 @ X8 )
| ~ ( c @ X4 @ X8 ) )
| ! [X10: $i] :
( ~ ! [X12: $i] :
( ( X6 @ X12 )
| ~ ( c @ X10 @ X12 ) )
| ~ ( a @ X4 @ X10 ) ) ) ).
thf(zip_derived_cl45,plain,
! [X0: $i,X1: $i,X2: $i > $o,X3: $i] :
( ~ ( c @ X0 @ X1 )
| ( X2 @ X1 )
| ~ ( a @ X0 @ X3 )
| ~ ( X2 @ ( sk__22 @ X3 @ X2 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf(zip_derived_cl1124,plain,
! [X0: $i > $o,X1: $i] :
( ~ ( X0 @ ( sk__22 @ X1 @ X0 ) )
| ~ ( a @ sk__29 @ X1 )
| ( X0 @ sk__30 ) ),
inference('sup-',[status(thm)],[zip_derived_cl56,zip_derived_cl45]) ).
thf(t_axiom_for_fool,axiom,
( mvalid
@ ( mforall_prop
@ ^ [A: $i > $o] : ( mimplies @ ( mbox @ fool @ A ) @ A ) ) ) ).
thf(zf_stmt_10,axiom,
! [X4: $i,X6: $i > $o] :
( ~ ! [X8: $i] :
( ( X6 @ X8 )
| ~ ( fool @ X4 @ X8 ) )
| ( X6 @ X4 ) ) ).
thf(zip_derived_cl15,plain,
! [X0: $i > $o,X1: $i] :
( ~ ( X0 @ ( sk__7 @ X0 @ X1 ) )
| ( X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_10]) ).
thf(zip_derived_cl16,plain,
! [X0: $i,X1: $i > $o] :
( ( fool @ X0 @ ( sk__7 @ X1 @ X0 ) )
| ( X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_10]) ).
thf(zip_derived_cl1431,plain,
! [X0: $i] :
( ( fool @ X0 @ X0 )
| ( fool @ X0 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl15,zip_derived_cl16]) ).
thf(zip_derived_cl1443,plain,
! [X0: $i] : ( fool @ X0 @ X0 ),
inference(simplify,[status(thm)],[zip_derived_cl1431]) ).
thf(axiom_3_a_c,axiom,
mvalid @ ( mbox @ fool @ ( mimplies @ ( mnot @ ( ws @ a ) ) @ ( mbox @ c @ ( mnot @ ( ws @ a ) ) ) ) ) ).
thf(zf_stmt_11,axiom,
! [X4: $i,X6: $i] :
( ( ws @ a @ X6 )
| ! [X8: $i] :
( ~ ( ws @ a @ X8 )
| ~ ( c @ X6 @ X8 ) )
| ~ ( fool @ X4 @ X6 ) ) ).
thf(zip_derived_cl10,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ws @ a @ X0 )
| ~ ( c @ X0 @ X1 )
| ~ ( ws @ a @ X1 )
| ~ ( fool @ X2 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_11]) ).
thf(zip_derived_cl15_003,plain,
! [X0: $i > $o,X1: $i] :
( ~ ( X0 @ ( sk__7 @ X0 @ X1 ) )
| ( X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_10]) ).
thf(zip_derived_cl241,plain,
! [X0: $i > $o,X1: $i] :
( ~ ( ^ [Y0: $i] : ( (~) @ ( X0 @ Y0 ) )
@ ( sk__7
@ ^ [Y0: $i] : ( (~) @ ( X0 @ Y0 ) )
@ X1 ) )
| ( ^ [Y0: $i] : ( (~) @ ( X0 @ Y0 ) )
@ X1 ) ),
inference('ho.refine',[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl257,plain,
! [X0: $i > $o,X1: $i] :
( ~ ( (~)
@ ( X0
@ ( sk__7
@ ^ [Y0: $i] : ( (~) @ ( X0 @ Y0 ) )
@ X1 ) ) )
| ( (~) @ ( X0 @ X1 ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl241]) ).
thf(zip_derived_cl258,plain,
! [X0: $i > $o,X1: $i] :
( ( X0
@ ( sk__7
@ ^ [Y0: $i] : ( (~) @ ( X0 @ Y0 ) )
@ X1 ) )
| ~ ( X0 @ X1 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl257]) ).
thf(zip_derived_cl12188,plain,
! [X0: $i > $o,X2: $i] :
( ( '#l_lift3543' @ X0 @ X2 )
= ( (~) @ ( X0 @ X2 ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl51,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( priorG @ X0 @ X1 )
| ( b @ X1 @ ( sk__25 @ X1 ) )
| ~ ( priorG @ X2 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl56_004,plain,
c @ sk__29 @ sk__30,
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl46,plain,
! [X0: $i,X1: $i,X2: $i > $o,X3: $i] :
( ~ ( c @ X0 @ X1 )
| ( X2 @ X1 )
| ~ ( a @ X0 @ X3 )
| ( c @ X3 @ ( sk__22 @ X3 @ X2 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf(zip_derived_cl2330,plain,
! [X0: $i > $o,X1: $i] :
( ( c @ X1 @ ( sk__22 @ X1 @ X0 ) )
| ~ ( a @ sk__29 @ X1 )
| ( X0 @ sk__30 ) ),
inference('sup-',[status(thm)],[zip_derived_cl56,zip_derived_cl46]) ).
thf(zip_derived_cl56_005,plain,
c @ sk__29 @ sk__30,
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl54_006,plain,
priorG @ sk__28 @ sk__29,
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl50,plain,
! [X0: $i,X1: $i] :
( ( a @ X0 @ ( sk__24 @ X0 ) )
| ~ ( priorG @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl172,plain,
a @ sk__29 @ ( sk__24 @ sk__29 ),
inference('sup-',[status(thm)],[zip_derived_cl54,zip_derived_cl50]) ).
thf(a6_axiom_for_fool_a_c,axiom,
( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mnot @ ( mbox @ a @ Phi ) ) @ ( mbox @ c @ ( mnot @ ( mbox @ a @ Phi ) ) ) ) ) ) ).
thf(zf_stmt_12,axiom,
! [X4: $i,X6: $i > $o] :
( ! [X8: $i] :
( ( X6 @ X8 )
| ~ ( a @ X4 @ X8 ) )
| ! [X10: $i] :
( ~ ! [X12: $i] :
( ( X6 @ X12 )
| ~ ( a @ X10 @ X12 ) )
| ~ ( c @ X4 @ X10 ) ) ) ).
thf(zip_derived_cl39,plain,
! [X0: $i,X1: $i,X2: $i > $o,X3: $i] :
( ~ ( a @ X0 @ X1 )
| ( X2 @ X1 )
| ~ ( c @ X0 @ X3 )
| ~ ( X2 @ ( sk__19 @ X3 @ X2 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_12]) ).
thf(zip_derived_cl55,plain,
~ ( ws @ c @ sk__30 ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(axiom_3_b_c,axiom,
mvalid @ ( mbox @ fool @ ( mimplies @ ( mnot @ ( ws @ b ) ) @ ( mbox @ c @ ( mnot @ ( ws @ b ) ) ) ) ) ).
thf(zf_stmt_13,axiom,
! [X4: $i,X6: $i] :
( ( ws @ b @ X6 )
| ! [X8: $i] :
( ~ ( ws @ b @ X8 )
| ~ ( c @ X6 @ X8 ) )
| ~ ( fool @ X4 @ X6 ) ) ).
thf(zip_derived_cl12,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ws @ b @ X0 )
| ~ ( c @ X0 @ X1 )
| ~ ( ws @ b @ X1 )
| ~ ( fool @ X2 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_13]) ).
thf(zip_derived_cl56_007,plain,
c @ sk__29 @ sk__30,
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(i_axiom_for_fool_c,axiom,
( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ fool @ Phi ) @ ( mbox @ c @ Phi ) ) ) ) ).
thf(zf_stmt_14,axiom,
! [X4: $i,X6: $i > $o] :
( ~ ! [X8: $i] :
( ( X6 @ X8 )
| ~ ( fool @ X4 @ X8 ) )
| ! [X10: $i] :
( ( X6 @ X10 )
| ~ ( c @ X4 @ X10 ) ) ) ).
thf(zip_derived_cl24,plain,
! [X0: $i,X1: $i > $o,X2: $i] :
( ( fool @ X0 @ ( sk__11 @ X1 @ X0 ) )
| ~ ( c @ X0 @ X2 )
| ( X1 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_14]) ).
thf(zip_derived_cl1662,plain,
! [X0: $i > $o] :
( ( X0 @ sk__30 )
| ( fool @ sk__29 @ ( sk__11 @ X0 @ sk__29 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl56,zip_derived_cl24]) ).
thf(axiom_1,axiom,
mvalid @ ( mbox @ fool @ ( mor @ ( ws @ a ) @ ( mor @ ( ws @ b ) @ ( ws @ c ) ) ) ) ).
thf(zf_stmt_15,axiom,
! [X4: $i,X6: $i] :
( ( ws @ a @ X6 )
| ( ws @ b @ X6 )
| ( ws @ c @ X6 )
| ~ ( fool @ X4 @ X6 ) ) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i] :
( ( ws @ a @ X0 )
| ( ws @ b @ X0 )
| ( ws @ c @ X0 )
| ~ ( fool @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_15]) ).
thf(zip_derived_cl40,plain,
! [X0: $i,X1: $i,X2: $i > $o,X3: $i] :
( ~ ( a @ X0 @ X1 )
| ( X2 @ X1 )
| ~ ( c @ X0 @ X3 )
| ( a @ X3 @ ( sk__19 @ X3 @ X2 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_12]) ).
thf(zip_derived_cl56_008,plain,
c @ sk__29 @ sk__30,
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl23,plain,
! [X0: $i > $o,X1: $i,X2: $i] :
( ~ ( X0 @ ( sk__11 @ X0 @ X1 ) )
| ~ ( c @ X1 @ X2 )
| ( X0 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_14]) ).
thf(zip_derived_cl90,plain,
! [X0: $i > $o] :
( ( X0 @ sk__30 )
| ~ ( X0 @ ( sk__11 @ X0 @ sk__29 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl56,zip_derived_cl23]) ).
thf(zip_derived_cl12215,plain,
$false,
inference(eprover,[status(thm)],[zip_derived_cl52,zip_derived_cl21,zip_derived_cl22,zip_derived_cl1271,zip_derived_cl2373,zip_derived_cl43,zip_derived_cl6,zip_derived_cl57,zip_derived_cl44,zip_derived_cl49,zip_derived_cl54,zip_derived_cl19,zip_derived_cl20,zip_derived_cl1124,zip_derived_cl1443,zip_derived_cl10,zip_derived_cl12188,zip_derived_cl51,zip_derived_cl2330,zip_derived_cl56,zip_derived_cl172,zip_derived_cl39,zip_derived_cl55,zip_derived_cl12,zip_derived_cl1662,zip_derived_cl2,zip_derived_cl40,zip_derived_cl90]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : PUZ087^2 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.WjnxP9eohb true
% 0.18/0.36 % Computer : n027.cluster.edu
% 0.18/0.36 % Model : x86_64 x86_64
% 0.18/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.36 % Memory : 8042.1875MB
% 0.18/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.36 % CPULimit : 300
% 0.18/0.36 % WCLimit : 300
% 0.18/0.36 % DateTime : Sat Aug 26 22:21:20 EDT 2023
% 0.18/0.36 % CPUTime :
% 0.18/0.36 % Running portfolio for 300 s
% 0.18/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.36 % Number of cores: 8
% 0.18/0.36 % Python version: Python 3.6.8
% 0.18/0.36 % Running in HO mode
% 0.22/0.62 % Total configuration time : 828
% 0.22/0.62 % Estimated wc time : 1656
% 0.22/0.62 % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.69 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.70 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.22/0.70 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.22/0.77 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.22/0.77 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.22/0.77 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.22/0.84 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 31.88/4.71 % /export/starexec/sandbox/solver/bin/lams/35_full_unif.sh running for 56s
% 231.13/30.70 % /export/starexec/sandbox/solver/bin/lams/15_old_s4.sh running for 30s
% 259.66/34.31 % Solved by lams/40_noforms.sh.
% 259.66/34.31 % done 993 iterations in 33.391s
% 259.66/34.31 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 259.66/34.31 % SZS output start Refutation
% See solution above
% 259.66/34.31
% 259.66/34.31
% 259.66/34.31 % Terminating...
% 260.71/34.66 % Runner terminated.
% 260.71/34.66 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------