TSTP Solution File: LCL509+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL509+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.TvOwrCK5g0 true
% Computer : n009.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 09:00:00 EDT 2023
% Result : Theorem 50.06s 7.76s
% Output : Refutation 50.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 28
% Syntax : Number of formulae : 152 ( 81 unt; 14 typ; 0 def)
% Number of atoms : 213 ( 37 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 1067 ( 69 ~; 66 |; 1 &; 923 @)
% ( 5 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 14 usr; 10 con; 0-2 aty)
% Number of variables : 271 ( 0 ^; 271 !; 0 ?; 271 :)
% Comments :
%------------------------------------------------------------------------------
thf(op_or_type,type,
op_or: $o ).
thf(and_type,type,
and: $i > $i > $i ).
thf(is_a_theorem_type,type,
is_a_theorem: $i > $o ).
thf(sk__20_type,type,
sk__20: $i ).
thf(op_implies_and_type,type,
op_implies_and: $o ).
thf(or_type,type,
or: $i > $i > $i ).
thf(kn2_type,type,
kn2: $o ).
thf(kn1_type,type,
kn1: $o ).
thf(sk__19_type,type,
sk__19: $i ).
thf(modus_ponens_type,type,
modus_ponens: $o ).
thf(or_1_type,type,
or_1: $o ).
thf(implies_type,type,
implies: $i > $i > $i ).
thf(kn3_type,type,
kn3: $o ).
thf(not_type,type,
not: $i > $i ).
thf(or_1,axiom,
( or_1
<=> ! [X: $i,Y: $i] : ( is_a_theorem @ ( implies @ X @ ( or @ X @ Y ) ) ) ) ).
thf(zip_derived_cl22,plain,
( or_1
| ~ ( is_a_theorem @ ( implies @ sk__19 @ ( or @ sk__19 @ sk__20 ) ) ) ),
inference(cnf,[status(esa)],[or_1]) ).
thf(hilbert_or_1,conjecture,
or_1 ).
thf(zf_stmt_0,negated_conjecture,
~ or_1,
inference('cnf.neg',[status(esa)],[hilbert_or_1]) ).
thf(zip_derived_cl71,plain,
~ or_1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl351,plain,
~ ( is_a_theorem @ ( implies @ sk__19 @ ( or @ sk__19 @ sk__20 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl22,zip_derived_cl71]) ).
thf(rosser_op_or,axiom,
op_or ).
thf(zip_derived_cl60,plain,
op_or,
inference(cnf,[status(esa)],[rosser_op_or]) ).
thf(op_or,axiom,
( op_or
=> ! [X: $i,Y: $i] :
( ( or @ X @ Y )
= ( not @ ( and @ ( not @ X ) @ ( not @ Y ) ) ) ) ) ).
thf(zip_derived_cl55,plain,
! [X0: $i,X1: $i] :
( ( ( or @ X0 @ X1 )
= ( not @ ( and @ ( not @ X0 ) @ ( not @ X1 ) ) ) )
| ~ op_or ),
inference(cnf,[status(esa)],[op_or]) ).
thf(zip_derived_cl344,plain,
! [X0: $i,X1: $i] :
( ( or @ X1 @ X0 )
= ( not @ ( and @ ( not @ X1 ) @ ( not @ X0 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl60,zip_derived_cl55]) ).
thf(zip_derived_cl344_001,plain,
! [X0: $i,X1: $i] :
( ( or @ X1 @ X0 )
= ( not @ ( and @ ( not @ X1 ) @ ( not @ X0 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl60,zip_derived_cl55]) ).
thf(zip_derived_cl371,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( or @ ( and @ ( not @ X1 ) @ ( not @ X0 ) ) @ X2 )
= ( not @ ( and @ ( or @ X1 @ X0 ) @ ( not @ X2 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl344,zip_derived_cl344]) ).
thf(rosser_op_implies_and,axiom,
op_implies_and ).
thf(zip_derived_cl61,plain,
op_implies_and,
inference(cnf,[status(esa)],[rosser_op_implies_and]) ).
thf(op_implies_and,axiom,
( op_implies_and
=> ! [X: $i,Y: $i] :
( ( implies @ X @ Y )
= ( not @ ( and @ X @ ( not @ Y ) ) ) ) ) ).
thf(zip_derived_cl57,plain,
! [X0: $i,X1: $i] :
( ( ( implies @ X0 @ X1 )
= ( not @ ( and @ X0 @ ( not @ X1 ) ) ) )
| ~ op_implies_and ),
inference(cnf,[status(esa)],[op_implies_and]) ).
thf(zip_derived_cl345,plain,
! [X0: $i,X1: $i] :
( ( implies @ X1 @ X0 )
= ( not @ ( and @ X1 @ ( not @ X0 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl61,zip_derived_cl57]) ).
thf(zip_derived_cl373,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( or @ ( and @ ( not @ X1 ) @ ( not @ X0 ) ) @ X2 )
= ( implies @ ( or @ X1 @ X0 ) @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl371,zip_derived_cl345]) ).
thf(zip_derived_cl344_002,plain,
! [X0: $i,X1: $i] :
( ( or @ X1 @ X0 )
= ( not @ ( and @ ( not @ X1 ) @ ( not @ X0 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl60,zip_derived_cl55]) ).
thf(zip_derived_cl345_003,plain,
! [X0: $i,X1: $i] :
( ( implies @ X1 @ X0 )
= ( not @ ( and @ X1 @ ( not @ X0 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl61,zip_derived_cl57]) ).
thf(zip_derived_cl344_004,plain,
! [X0: $i,X1: $i] :
( ( or @ X1 @ X0 )
= ( not @ ( and @ ( not @ X1 ) @ ( not @ X0 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl60,zip_derived_cl55]) ).
thf(zip_derived_cl367,plain,
! [X0: $i,X1: $i] :
( ( or @ X1 @ X0 )
= ( implies @ ( not @ X1 ) @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl345,zip_derived_cl344]) ).
thf(rosser_kn1,axiom,
kn1 ).
thf(zip_derived_cl64,plain,
kn1,
inference(cnf,[status(esa)],[rosser_kn1]) ).
thf(kn1,axiom,
( kn1
<=> ! [P: $i] : ( is_a_theorem @ ( implies @ P @ ( and @ P @ P ) ) ) ) ).
thf(zip_derived_cl33,plain,
! [X0: $i] :
( ( is_a_theorem @ ( implies @ X0 @ ( and @ X0 @ X0 ) ) )
| ~ kn1 ),
inference(cnf,[status(esa)],[kn1]) ).
thf(zip_derived_cl347,plain,
! [X0: $i] : ( is_a_theorem @ ( implies @ X0 @ ( and @ X0 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl64,zip_derived_cl33]) ).
thf(zip_derived_cl378,plain,
! [X0: $i] : ( is_a_theorem @ ( or @ X0 @ ( and @ ( not @ X0 ) @ ( not @ X0 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl367,zip_derived_cl347]) ).
thf(zip_derived_cl344_005,plain,
! [X0: $i,X1: $i] :
( ( or @ X1 @ X0 )
= ( not @ ( and @ ( not @ X1 ) @ ( not @ X0 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl60,zip_derived_cl55]) ).
thf(zip_derived_cl344_006,plain,
! [X0: $i,X1: $i] :
( ( or @ X1 @ X0 )
= ( not @ ( and @ ( not @ X1 ) @ ( not @ X0 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl60,zip_derived_cl55]) ).
thf(zip_derived_cl364,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( or @ X2 @ ( and @ ( not @ X1 ) @ ( not @ X0 ) ) )
= ( not @ ( and @ ( not @ X2 ) @ ( or @ X1 @ X0 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl344,zip_derived_cl344]) ).
thf(zip_derived_cl553,plain,
! [X0: $i] : ( is_a_theorem @ ( not @ ( and @ ( not @ X0 ) @ ( or @ X0 @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl378,zip_derived_cl364]) ).
thf(zip_derived_cl364_007,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( or @ X2 @ ( and @ ( not @ X1 ) @ ( not @ X0 ) ) )
= ( not @ ( and @ ( not @ X2 ) @ ( or @ X1 @ X0 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl344,zip_derived_cl344]) ).
thf(zip_derived_cl344_008,plain,
! [X0: $i,X1: $i] :
( ( or @ X1 @ X0 )
= ( not @ ( and @ ( not @ X1 ) @ ( not @ X0 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl60,zip_derived_cl55]) ).
thf(rosser_kn3,axiom,
kn3 ).
thf(zip_derived_cl66,plain,
kn3,
inference(cnf,[status(esa)],[rosser_kn3]) ).
thf(kn3,axiom,
( kn3
<=> ! [P: $i,Q: $i,R: $i] : ( is_a_theorem @ ( implies @ ( implies @ P @ Q ) @ ( implies @ ( not @ ( and @ Q @ R ) ) @ ( not @ ( and @ R @ P ) ) ) ) ) ) ).
thf(zip_derived_cl37,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( is_a_theorem @ ( implies @ ( implies @ X0 @ X1 ) @ ( implies @ ( not @ ( and @ X1 @ X2 ) ) @ ( not @ ( and @ X2 @ X0 ) ) ) ) )
| ~ kn3 ),
inference(cnf,[status(esa)],[kn3]) ).
thf(zip_derived_cl349,plain,
! [X0: $i,X1: $i,X2: $i] : ( is_a_theorem @ ( implies @ ( implies @ X0 @ X2 ) @ ( implies @ ( not @ ( and @ X2 @ X1 ) ) @ ( not @ ( and @ X1 @ X0 ) ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl66,zip_derived_cl37]) ).
thf(zip_derived_cl367_009,plain,
! [X0: $i,X1: $i] :
( ( or @ X1 @ X0 )
= ( implies @ ( not @ X1 ) @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl345,zip_derived_cl344]) ).
thf(zip_derived_cl441,plain,
! [X0: $i,X1: $i,X2: $i] : ( is_a_theorem @ ( implies @ ( implies @ X0 @ X2 ) @ ( or @ ( and @ X2 @ X1 ) @ ( not @ ( and @ X1 @ X0 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl349,zip_derived_cl367]) ).
thf(zip_derived_cl445,plain,
! [X0: $i,X1: $i,X2: $i] : ( is_a_theorem @ ( implies @ ( implies @ ( not @ X0 ) @ X2 ) @ ( or @ ( and @ X2 @ ( not @ X1 ) ) @ ( or @ X1 @ X0 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl344,zip_derived_cl441]) ).
thf(zip_derived_cl367_010,plain,
! [X0: $i,X1: $i] :
( ( or @ X1 @ X0 )
= ( implies @ ( not @ X1 ) @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl345,zip_derived_cl344]) ).
thf(zip_derived_cl450,plain,
! [X0: $i,X1: $i,X2: $i] : ( is_a_theorem @ ( implies @ ( or @ X0 @ X2 ) @ ( or @ ( and @ X2 @ ( not @ X1 ) ) @ ( or @ X1 @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl445,zip_derived_cl367]) ).
thf(zip_derived_cl345_011,plain,
! [X0: $i,X1: $i] :
( ( implies @ X1 @ X0 )
= ( not @ ( and @ X1 @ ( not @ X0 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl61,zip_derived_cl57]) ).
thf(zip_derived_cl344_012,plain,
! [X0: $i,X1: $i] :
( ( or @ X1 @ X0 )
= ( not @ ( and @ ( not @ X1 ) @ ( not @ X0 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl60,zip_derived_cl55]) ).
thf(zip_derived_cl370,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( or @ ( and @ X1 @ ( not @ X0 ) ) @ X2 )
= ( not @ ( and @ ( implies @ X1 @ X0 ) @ ( not @ X2 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl345,zip_derived_cl344]) ).
thf(zip_derived_cl345_013,plain,
! [X0: $i,X1: $i] :
( ( implies @ X1 @ X0 )
= ( not @ ( and @ X1 @ ( not @ X0 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl61,zip_derived_cl57]) ).
thf(zip_derived_cl372,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( or @ ( and @ X1 @ ( not @ X0 ) ) @ X2 )
= ( implies @ ( implies @ X1 @ X0 ) @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl370,zip_derived_cl345]) ).
thf(zip_derived_cl587,plain,
! [X0: $i,X1: $i,X2: $i] : ( is_a_theorem @ ( implies @ ( or @ X0 @ X2 ) @ ( implies @ ( implies @ X2 @ X1 ) @ ( or @ X1 @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl450,zip_derived_cl372]) ).
thf(rosser_modus_ponens,axiom,
modus_ponens ).
thf(zip_derived_cl63,plain,
modus_ponens,
inference(cnf,[status(esa)],[rosser_modus_ponens]) ).
thf(modus_ponens,axiom,
( modus_ponens
<=> ! [X: $i,Y: $i] :
( ( ( is_a_theorem @ X )
& ( is_a_theorem @ ( implies @ X @ Y ) ) )
=> ( is_a_theorem @ Y ) ) ) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i] :
( ( is_a_theorem @ X0 )
| ~ ( is_a_theorem @ ( implies @ X1 @ X0 ) )
| ~ ( is_a_theorem @ X1 )
| ~ modus_ponens ),
inference(cnf,[status(esa)],[modus_ponens]) ).
thf(zip_derived_cl353,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ X1 )
| ~ ( is_a_theorem @ ( implies @ X1 @ X0 ) )
| ( is_a_theorem @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl63,zip_derived_cl0]) ).
thf(zip_derived_cl588,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( is_a_theorem @ ( or @ X0 @ X2 ) )
| ( is_a_theorem @ ( implies @ ( implies @ X2 @ X1 ) @ ( or @ X1 @ X0 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl587,zip_derived_cl353]) ).
thf(rosser_kn2,axiom,
kn2 ).
thf(zip_derived_cl65,plain,
kn2,
inference(cnf,[status(esa)],[rosser_kn2]) ).
thf(kn2,axiom,
( kn2
<=> ! [P: $i,Q: $i] : ( is_a_theorem @ ( implies @ ( and @ P @ Q ) @ P ) ) ) ).
thf(zip_derived_cl35,plain,
! [X0: $i,X1: $i] :
( ( is_a_theorem @ ( implies @ ( and @ X0 @ X1 ) @ X0 ) )
| ~ kn2 ),
inference(cnf,[status(esa)],[kn2]) ).
thf(zip_derived_cl348,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ ( and @ X0 @ X1 ) @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl65,zip_derived_cl35]) ).
thf(zip_derived_cl345_014,plain,
! [X0: $i,X1: $i] :
( ( implies @ X1 @ X0 )
= ( not @ ( and @ X1 @ ( not @ X0 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl61,zip_derived_cl57]) ).
thf(zip_derived_cl367_015,plain,
! [X0: $i,X1: $i] :
( ( or @ X1 @ X0 )
= ( implies @ ( not @ X1 ) @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl345,zip_derived_cl344]) ).
thf(zip_derived_cl353_016,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ X1 )
| ~ ( is_a_theorem @ ( implies @ X1 @ X0 ) )
| ( is_a_theorem @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl63,zip_derived_cl0]) ).
thf(zip_derived_cl377,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ ( not @ X1 ) )
| ~ ( is_a_theorem @ ( or @ X1 @ X0 ) )
| ( is_a_theorem @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl367,zip_derived_cl353]) ).
thf(zip_derived_cl381,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( is_a_theorem @ ( implies @ X1 @ X0 ) )
| ~ ( is_a_theorem @ ( or @ ( and @ X1 @ ( not @ X0 ) ) @ X2 ) )
| ( is_a_theorem @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl345,zip_derived_cl377]) ).
thf(zip_derived_cl384,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( is_a_theorem @ ( or @ ( and @ ( and @ X0 @ X1 ) @ ( not @ X0 ) ) @ X2 ) )
| ( is_a_theorem @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl348,zip_derived_cl381]) ).
thf(zip_derived_cl372_017,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( or @ ( and @ X1 @ ( not @ X0 ) ) @ X2 )
= ( implies @ ( implies @ X1 @ X0 ) @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl370,zip_derived_cl345]) ).
thf(zip_derived_cl461,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( is_a_theorem @ ( implies @ ( implies @ ( and @ X0 @ X1 ) @ X0 ) @ X2 ) )
| ( is_a_theorem @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl384,zip_derived_cl372]) ).
thf(zip_derived_cl673,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( is_a_theorem @ ( or @ X0 @ ( and @ X1 @ X2 ) ) )
| ( is_a_theorem @ ( or @ X1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl588,zip_derived_cl461]) ).
thf(zip_derived_cl716,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( is_a_theorem @ ( not @ ( and @ ( not @ X2 ) @ ( or @ X1 @ X0 ) ) ) )
| ( is_a_theorem @ ( or @ ( not @ X1 ) @ X2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl364,zip_derived_cl673]) ).
thf(zip_derived_cl848,plain,
! [X0: $i] : ( is_a_theorem @ ( or @ ( not @ X0 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl553,zip_derived_cl716]) ).
thf(zip_derived_cl673_018,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( is_a_theorem @ ( or @ X0 @ ( and @ X1 @ X2 ) ) )
| ( is_a_theorem @ ( or @ X1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl588,zip_derived_cl461]) ).
thf(zip_derived_cl875,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( or @ X1 @ ( not @ ( and @ X1 @ X0 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl848,zip_derived_cl673]) ).
thf(zip_derived_cl933,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( or @ ( not @ X1 ) @ ( or @ X1 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl344,zip_derived_cl875]) ).
thf(zip_derived_cl588_019,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( is_a_theorem @ ( or @ X0 @ X2 ) )
| ( is_a_theorem @ ( implies @ ( implies @ X2 @ X1 ) @ ( or @ X1 @ X0 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl587,zip_derived_cl353]) ).
thf(zip_derived_cl345_020,plain,
! [X0: $i,X1: $i] :
( ( implies @ X1 @ X0 )
= ( not @ ( and @ X1 @ ( not @ X0 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl61,zip_derived_cl57]) ).
thf(zip_derived_cl875_021,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( or @ X1 @ ( not @ ( and @ X1 @ X0 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl848,zip_derived_cl673]) ).
thf(zip_derived_cl931,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( or @ X1 @ ( implies @ X1 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl345,zip_derived_cl875]) ).
thf(zip_derived_cl588_022,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( is_a_theorem @ ( or @ X0 @ X2 ) )
| ( is_a_theorem @ ( implies @ ( implies @ X2 @ X1 ) @ ( or @ X1 @ X0 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl587,zip_derived_cl353]) ).
thf(zip_derived_cl353_023,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ X1 )
| ~ ( is_a_theorem @ ( implies @ X1 @ X0 ) )
| ( is_a_theorem @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl63,zip_derived_cl0]) ).
thf(zip_derived_cl671,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( is_a_theorem @ ( or @ X0 @ X2 ) )
| ~ ( is_a_theorem @ ( implies @ X2 @ X1 ) )
| ( is_a_theorem @ ( or @ X1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl588,zip_derived_cl353]) ).
thf(zip_derived_cl939,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( is_a_theorem @ ( implies @ ( implies @ X1 @ X0 ) @ X2 ) )
| ( is_a_theorem @ ( or @ X2 @ X1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl931,zip_derived_cl671]) ).
thf(zip_derived_cl963,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( is_a_theorem @ ( or @ X0 @ X2 ) )
| ( is_a_theorem @ ( or @ ( or @ X1 @ X0 ) @ X2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl588,zip_derived_cl939]) ).
thf(zip_derived_cl347_024,plain,
! [X0: $i] : ( is_a_theorem @ ( implies @ X0 @ ( and @ X0 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl64,zip_derived_cl33]) ).
thf(zip_derived_cl848_025,plain,
! [X0: $i] : ( is_a_theorem @ ( or @ ( not @ X0 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl553,zip_derived_cl716]) ).
thf(zip_derived_cl671_026,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( is_a_theorem @ ( or @ X0 @ X2 ) )
| ~ ( is_a_theorem @ ( implies @ X2 @ X1 ) )
| ( is_a_theorem @ ( or @ X1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl588,zip_derived_cl353]) ).
thf(zip_derived_cl870,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ ( implies @ X0 @ X1 ) )
| ( is_a_theorem @ ( or @ X1 @ ( not @ X0 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl848,zip_derived_cl671]) ).
thf(zip_derived_cl373_027,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( or @ ( and @ ( not @ X1 ) @ ( not @ X0 ) ) @ X2 )
= ( implies @ ( or @ X1 @ X0 ) @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl371,zip_derived_cl345]) ).
thf(zip_derived_cl588_028,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( is_a_theorem @ ( or @ X0 @ X2 ) )
| ( is_a_theorem @ ( implies @ ( implies @ X2 @ X1 ) @ ( or @ X1 @ X0 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl587,zip_derived_cl353]) ).
thf(zip_derived_cl347_029,plain,
! [X0: $i] : ( is_a_theorem @ ( implies @ X0 @ ( and @ X0 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl64,zip_derived_cl33]) ).
thf(zip_derived_cl381_030,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( is_a_theorem @ ( implies @ X1 @ X0 ) )
| ~ ( is_a_theorem @ ( or @ ( and @ X1 @ ( not @ X0 ) ) @ X2 ) )
| ( is_a_theorem @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl345,zip_derived_cl377]) ).
thf(zip_derived_cl383,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ ( or @ ( and @ X0 @ ( not @ ( and @ X0 @ X0 ) ) ) @ X1 ) )
| ( is_a_theorem @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl347,zip_derived_cl381]) ).
thf(zip_derived_cl372_031,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( or @ ( and @ X1 @ ( not @ X0 ) ) @ X2 )
= ( implies @ ( implies @ X1 @ X0 ) @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl370,zip_derived_cl345]) ).
thf(zip_derived_cl460,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ ( implies @ ( implies @ X0 @ ( and @ X0 @ X0 ) ) @ X1 ) )
| ( is_a_theorem @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl383,zip_derived_cl372]) ).
thf(zip_derived_cl672,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ ( or @ X0 @ X1 ) )
| ( is_a_theorem @ ( or @ ( and @ X1 @ X1 ) @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl588,zip_derived_cl460]) ).
thf(zip_derived_cl693,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ ( or @ X0 @ ( not @ X1 ) ) )
| ( is_a_theorem @ ( implies @ ( or @ X1 @ X1 ) @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl373,zip_derived_cl672]) ).
thf(zip_derived_cl885,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ ( implies @ X0 @ X1 ) )
| ( is_a_theorem @ ( implies @ ( or @ X0 @ X0 ) @ X1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl870,zip_derived_cl693]) ).
thf(zip_derived_cl353_032,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ X1 )
| ~ ( is_a_theorem @ ( implies @ X1 @ X0 ) )
| ( is_a_theorem @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl63,zip_derived_cl0]) ).
thf(zip_derived_cl970,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ ( implies @ X1 @ X0 ) )
| ~ ( is_a_theorem @ ( or @ X1 @ X1 ) )
| ( is_a_theorem @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl885,zip_derived_cl353]) ).
thf(zip_derived_cl989,plain,
! [X0: $i] :
( ~ ( is_a_theorem @ ( or @ X0 @ X0 ) )
| ( is_a_theorem @ ( and @ X0 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl347,zip_derived_cl970]) ).
thf(zip_derived_cl348_033,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ ( and @ X0 @ X1 ) @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl65,zip_derived_cl35]) ).
thf(zip_derived_cl353_034,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ X1 )
| ~ ( is_a_theorem @ ( implies @ X1 @ X0 ) )
| ( is_a_theorem @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl63,zip_derived_cl0]) ).
thf(zip_derived_cl357,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ ( and @ X0 @ X1 ) )
| ( is_a_theorem @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl348,zip_derived_cl353]) ).
thf(zip_derived_cl1002,plain,
! [X0: $i] :
( ~ ( is_a_theorem @ ( or @ X0 @ X0 ) )
| ( is_a_theorem @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl989,zip_derived_cl357]) ).
thf(zip_derived_cl1812,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ ( or @ X0 @ ( or @ X1 @ X0 ) ) )
| ( is_a_theorem @ ( or @ X1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl963,zip_derived_cl1002]) ).
thf(zip_derived_cl1832,plain,
! [X0: $i] : ( is_a_theorem @ ( or @ X0 @ ( not @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl933,zip_derived_cl1812]) ).
thf(zip_derived_cl1852,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ ( or @ X1 @ X0 ) @ ( not @ ( and @ ( not @ X1 ) @ ( not @ X0 ) ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl373,zip_derived_cl1832]) ).
thf(zip_derived_cl344_035,plain,
! [X0: $i,X1: $i] :
( ( or @ X1 @ X0 )
= ( not @ ( and @ ( not @ X1 ) @ ( not @ X0 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl60,zip_derived_cl55]) ).
thf(zip_derived_cl1858,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ ( or @ X1 @ X0 ) @ ( or @ X1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1852,zip_derived_cl344]) ).
thf(zip_derived_cl373_036,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( or @ ( and @ ( not @ X1 ) @ ( not @ X0 ) ) @ X2 )
= ( implies @ ( or @ X1 @ X0 ) @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl371,zip_derived_cl345]) ).
thf(zip_derived_cl875_037,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( or @ X1 @ ( not @ ( and @ X1 @ X0 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl848,zip_derived_cl673]) ).
thf(zip_derived_cl671_038,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( is_a_theorem @ ( or @ X0 @ X2 ) )
| ~ ( is_a_theorem @ ( implies @ X2 @ X1 ) )
| ( is_a_theorem @ ( or @ X1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl588,zip_derived_cl353]) ).
thf(zip_derived_cl922,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( is_a_theorem @ ( implies @ ( not @ ( and @ X1 @ X0 ) ) @ X2 ) )
| ( is_a_theorem @ ( or @ X2 @ X1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl875,zip_derived_cl671]) ).
thf(zip_derived_cl367_039,plain,
! [X0: $i,X1: $i] :
( ( or @ X1 @ X0 )
= ( implies @ ( not @ X1 ) @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl345,zip_derived_cl344]) ).
thf(zip_derived_cl937,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( is_a_theorem @ ( or @ ( and @ X1 @ X0 ) @ X2 ) )
| ( is_a_theorem @ ( or @ X2 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl922,zip_derived_cl367]) ).
thf(zip_derived_cl955,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( is_a_theorem @ ( implies @ ( or @ X2 @ X1 ) @ X0 ) )
| ( is_a_theorem @ ( or @ X0 @ ( not @ X2 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl373,zip_derived_cl937]) ).
thf(zip_derived_cl1870,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( or @ ( or @ X1 @ X0 ) @ ( not @ X1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1858,zip_derived_cl955]) ).
thf(zip_derived_cl345_040,plain,
! [X0: $i,X1: $i] :
( ( implies @ X1 @ X0 )
= ( not @ ( and @ X1 @ ( not @ X0 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl61,zip_derived_cl57]) ).
thf(zip_derived_cl441_041,plain,
! [X0: $i,X1: $i,X2: $i] : ( is_a_theorem @ ( implies @ ( implies @ X0 @ X2 ) @ ( or @ ( and @ X2 @ X1 ) @ ( not @ ( and @ X1 @ X0 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl349,zip_derived_cl367]) ).
thf(zip_derived_cl444,plain,
! [X0: $i,X1: $i,X2: $i] : ( is_a_theorem @ ( implies @ ( implies @ ( not @ X0 ) @ X2 ) @ ( or @ ( and @ X2 @ X1 ) @ ( implies @ X1 @ X0 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl345,zip_derived_cl441]) ).
thf(zip_derived_cl367_042,plain,
! [X0: $i,X1: $i] :
( ( or @ X1 @ X0 )
= ( implies @ ( not @ X1 ) @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl345,zip_derived_cl344]) ).
thf(zip_derived_cl449,plain,
! [X0: $i,X1: $i,X2: $i] : ( is_a_theorem @ ( implies @ ( or @ X0 @ X2 ) @ ( or @ ( and @ X2 @ X1 ) @ ( implies @ X1 @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl444,zip_derived_cl367]) ).
thf(zip_derived_cl353_043,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ X1 )
| ~ ( is_a_theorem @ ( implies @ X1 @ X0 ) )
| ( is_a_theorem @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl63,zip_derived_cl0]) ).
thf(zip_derived_cl452,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( is_a_theorem @ ( or @ X0 @ X2 ) )
| ( is_a_theorem @ ( or @ ( and @ X2 @ X1 ) @ ( implies @ X1 @ X0 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl449,zip_derived_cl353]) ).
thf(zip_derived_cl372_044,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( or @ ( and @ X1 @ ( not @ X0 ) ) @ X2 )
= ( implies @ ( implies @ X1 @ X0 ) @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl370,zip_derived_cl345]) ).
thf(zip_derived_cl441_045,plain,
! [X0: $i,X1: $i,X2: $i] : ( is_a_theorem @ ( implies @ ( implies @ X0 @ X2 ) @ ( or @ ( and @ X2 @ X1 ) @ ( not @ ( and @ X1 @ X0 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl349,zip_derived_cl367]) ).
thf(zip_derived_cl467,plain,
! [X0: $i,X1: $i,X2: $i] : ( is_a_theorem @ ( implies @ ( implies @ X0 @ X2 ) @ ( implies @ ( implies @ X2 @ X1 ) @ ( not @ ( and @ ( not @ X1 ) @ X0 ) ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl372,zip_derived_cl441]) ).
thf(zip_derived_cl460_046,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ ( implies @ ( implies @ X0 @ ( and @ X0 @ X0 ) ) @ X1 ) )
| ( is_a_theorem @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl383,zip_derived_cl372]) ).
thf(zip_derived_cl1332,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ ( implies @ ( and @ X0 @ X0 ) @ X1 ) @ ( not @ ( and @ ( not @ X1 ) @ X0 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl467,zip_derived_cl460]) ).
thf(zip_derived_cl461_047,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( is_a_theorem @ ( implies @ ( implies @ ( and @ X0 @ X1 ) @ X0 ) @ X2 ) )
| ( is_a_theorem @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl384,zip_derived_cl372]) ).
thf(zip_derived_cl35286,plain,
! [X0: $i] : ( is_a_theorem @ ( not @ ( and @ ( not @ X0 ) @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1332,zip_derived_cl461]) ).
thf(zip_derived_cl377_048,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ ( not @ X1 ) )
| ~ ( is_a_theorem @ ( or @ X1 @ X0 ) )
| ( is_a_theorem @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl367,zip_derived_cl353]) ).
thf(zip_derived_cl35340,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ ( or @ ( and @ ( not @ X0 ) @ X0 ) @ X1 ) )
| ( is_a_theorem @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl35286,zip_derived_cl377]) ).
thf(zip_derived_cl36918,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ ( or @ X0 @ ( not @ X1 ) ) )
| ( is_a_theorem @ ( implies @ X1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl452,zip_derived_cl35340]) ).
thf(zip_derived_cl38701,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ X0 @ ( or @ X0 @ X1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1870,zip_derived_cl36918]) ).
thf(zip_derived_cl38859,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl351,zip_derived_cl38701]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL509+1 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.TvOwrCK5g0 true
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 24 18:52:51 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.20/0.65 % Total configuration time : 435
% 0.20/0.65 % Estimated wc time : 1092
% 0.20/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 1.04/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.04/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.04/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.04/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.04/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.27/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.27/0.82 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 50.06/7.76 % Solved by fo/fo6_bce.sh.
% 50.06/7.76 % BCE start: 72
% 50.06/7.76 % BCE eliminated: 2
% 50.06/7.76 % PE start: 70
% 50.06/7.76 logic: eq
% 50.06/7.76 % PE eliminated: 40
% 50.06/7.76 % done 2439 iterations in 7.032s
% 50.06/7.76 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 50.06/7.76 % SZS output start Refutation
% See solution above
% 50.06/7.76
% 50.06/7.76
% 50.06/7.76 % Terminating...
% 50.68/7.87 % Runner terminated.
% 50.68/7.88 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------