TSTP Solution File: LCL503+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL503+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.3JeNKkrBez true
% Computer : n020.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 08:59:59 EDT 2023
% Result : Theorem 56.82s 8.82s
% Output : Refutation 56.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 35
% Syntax : Number of formulae : 182 ( 104 unt; 17 typ; 0 def)
% Number of atoms : 250 ( 62 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 1142 ( 76 ~; 73 |; 1 &; 981 @)
% ( 6 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 10 ( 10 >; 0 *; 0 +; 0 <<)
% Number of symbols : 19 ( 17 usr; 12 con; 0-2 aty)
% Number of variables : 293 ( 0 ^; 293 !; 0 ?; 293 :)
% 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(implies_1_type,type,
implies_1: $o ).
thf(op_equiv_type,type,
op_equiv: $o ).
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(equiv_type,type,
equiv: $i > $i > $i ).
thf(modus_ponens_type,type,
modus_ponens: $o ).
thf(sk__7_type,type,
sk__7: $i ).
thf(sk__6_type,type,
sk__6: $i ).
thf(implies_type,type,
implies: $i > $i > $i ).
thf(substitution_of_equivalents_type,type,
substitution_of_equivalents: $o ).
thf(kn3_type,type,
kn3: $o ).
thf(not_type,type,
not: $i > $i ).
thf(implies_1,axiom,
( implies_1
<=> ! [X: $i,Y: $i] : ( is_a_theorem @ ( implies @ X @ ( implies @ Y @ X ) ) ) ) ).
thf(zip_derived_cl10,plain,
( implies_1
| ~ ( is_a_theorem @ ( implies @ sk__6 @ ( implies @ sk__7 @ sk__6 ) ) ) ),
inference(cnf,[status(esa)],[implies_1]) ).
thf(hilbert_implies_1,conjecture,
implies_1 ).
thf(zf_stmt_0,negated_conjecture,
~ implies_1,
inference('cnf.neg',[status(esa)],[hilbert_implies_1]) ).
thf(zip_derived_cl71,plain,
~ implies_1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl351,plain,
~ ( is_a_theorem @ ( implies @ sk__6 @ ( implies @ sk__7 @ sk__6 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl10,zip_derived_cl71]) ).
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(rosser_op_equiv,axiom,
op_equiv ).
thf(zip_derived_cl62,plain,
op_equiv,
inference(cnf,[status(esa)],[rosser_op_equiv]) ).
thf(op_equiv,axiom,
( op_equiv
=> ! [X: $i,Y: $i] :
( ( equiv @ X @ Y )
= ( and @ ( implies @ X @ Y ) @ ( implies @ Y @ X ) ) ) ) ).
thf(zip_derived_cl59,plain,
! [X0: $i,X1: $i] :
( ( ( equiv @ X0 @ X1 )
= ( and @ ( implies @ X0 @ X1 ) @ ( implies @ X1 @ X0 ) ) )
| ~ op_equiv ),
inference(cnf,[status(esa)],[op_equiv]) ).
thf(zip_derived_cl346,plain,
! [X0: $i,X1: $i] :
( ( equiv @ X1 @ X0 )
= ( and @ ( implies @ X1 @ X0 ) @ ( implies @ X0 @ X1 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl62,zip_derived_cl59]) ).
thf(zip_derived_cl347_001,plain,
! [X0: $i] : ( is_a_theorem @ ( implies @ X0 @ ( and @ X0 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl64,zip_derived_cl33]) ).
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_cl356,plain,
! [X0: $i] :
( ~ ( is_a_theorem @ X0 )
| ( is_a_theorem @ ( and @ X0 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl347,zip_derived_cl353]) ).
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_cl345_002,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(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_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_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_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_cl345_004,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(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_cl345_005,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_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_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(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_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_007,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_cl536,plain,
! [X0: $i,X1: $i,X2: $i] : ( is_a_theorem @ ( implies @ ( or @ X0 @ X2 ) @ ( implies @ ( implies @ X2 @ X1 ) @ ( implies @ ( not @ X1 ) @ X0 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl372,zip_derived_cl449]) ).
thf(zip_derived_cl367_008,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_cl540,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_cl536,zip_derived_cl367]) ).
thf(zip_derived_cl344_009,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_010,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(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_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_cl372_012,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_013,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_cl478,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_cl347_014,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_cl345_015,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_016,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_017,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_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_018,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_cl472,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_cl835,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_cl478,zip_derived_cl472]) ).
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_cl381_019,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_020,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_cl473,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_cl867,plain,
! [X0: $i] : ( is_a_theorem @ ( not @ ( and @ ( not @ X0 ) @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl835,zip_derived_cl473]) ).
thf(zip_derived_cl377_021,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_cl883,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_cl867,zip_derived_cl377]) ).
thf(zip_derived_cl912,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ ( implies @ ( or @ ( not @ X1 ) @ X1 ) @ X0 ) )
| ( is_a_theorem @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl373,zip_derived_cl883]) ).
thf(zip_derived_cl928,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ ( implies @ X0 @ X1 ) @ ( or @ X1 @ ( not @ X0 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl540,zip_derived_cl912]) ).
thf(zip_derived_cl473_022,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_cl1018,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( or @ X1 @ ( not @ ( and @ X1 @ X0 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl928,zip_derived_cl473]) ).
thf(zip_derived_cl1206,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( or @ X1 @ ( implies @ X1 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl345,zip_derived_cl1018]) ).
thf(zip_derived_cl344_023,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_cl867_024,plain,
! [X0: $i] : ( is_a_theorem @ ( not @ ( and @ ( not @ X0 ) @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl835,zip_derived_cl473]) ).
thf(zip_derived_cl887,plain,
! [X0: $i] : ( is_a_theorem @ ( or @ ( not @ X0 ) @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl344,zip_derived_cl867]) ).
thf(zip_derived_cl345_025,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_026,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_cl353_027,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_cl442,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( is_a_theorem @ ( implies @ X0 @ X2 ) )
| ( is_a_theorem @ ( or @ ( and @ X2 @ X1 ) @ ( not @ ( and @ X1 @ X0 ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl441,zip_derived_cl353]) ).
thf(zip_derived_cl883_028,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_cl867,zip_derived_cl377]) ).
thf(zip_derived_cl941,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ ( implies @ X0 @ ( not @ X1 ) ) )
| ( is_a_theorem @ ( not @ ( and @ X1 @ X0 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl442,zip_derived_cl883]) ).
thf(zip_derived_cl959,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ ( implies @ ( not @ X0 ) @ ( not @ X1 ) ) )
| ( is_a_theorem @ ( implies @ X1 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl345,zip_derived_cl941]) ).
thf(zip_derived_cl367_029,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_cl965,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ ( or @ X0 @ ( not @ X1 ) ) )
| ( is_a_theorem @ ( implies @ X1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl959,zip_derived_cl367]) ).
thf(zip_derived_cl967,plain,
! [X0: $i] : ( is_a_theorem @ ( implies @ X0 @ ( not @ ( not @ X0 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl887,zip_derived_cl965]) ).
thf(zip_derived_cl353_030,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_cl976,plain,
! [X0: $i] :
( ~ ( is_a_theorem @ X0 )
| ( is_a_theorem @ ( not @ ( not @ X0 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl967,zip_derived_cl353]) ).
thf(zip_derived_cl377_031,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_cl1010,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ X0 )
| ~ ( is_a_theorem @ ( or @ ( not @ X0 ) @ X1 ) )
| ( is_a_theorem @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl976,zip_derived_cl377]) ).
thf(zip_derived_cl1213,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ X1 )
| ( is_a_theorem @ ( implies @ ( not @ X1 ) @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1206,zip_derived_cl1010]) ).
thf(zip_derived_cl367_032,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_cl1223,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ X1 )
| ( is_a_theorem @ ( or @ X1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1213,zip_derived_cl367]) ).
thf(zip_derived_cl965_033,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ ( or @ X0 @ ( not @ X1 ) ) )
| ( is_a_theorem @ ( implies @ X1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl959,zip_derived_cl367]) ).
thf(zip_derived_cl1226,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ X1 )
| ( is_a_theorem @ ( implies @ X0 @ X1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1223,zip_derived_cl965]) ).
thf(zip_derived_cl442_034,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( is_a_theorem @ ( implies @ X0 @ X2 ) )
| ( is_a_theorem @ ( or @ ( and @ X2 @ X1 ) @ ( not @ ( and @ X1 @ X0 ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl441,zip_derived_cl353]) ).
thf(zip_derived_cl965_035,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ ( or @ X0 @ ( not @ X1 ) ) )
| ( is_a_theorem @ ( implies @ X1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl959,zip_derived_cl367]) ).
thf(zip_derived_cl968,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( is_a_theorem @ ( implies @ X0 @ X2 ) )
| ( is_a_theorem @ ( implies @ ( and @ X1 @ X0 ) @ ( and @ X2 @ X1 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl442,zip_derived_cl965]) ).
thf(zip_derived_cl353_036,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_cl3602,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( is_a_theorem @ ( implies @ X2 @ X1 ) )
| ~ ( is_a_theorem @ ( and @ X0 @ X2 ) )
| ( is_a_theorem @ ( and @ X1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl968,zip_derived_cl353]) ).
thf(zip_derived_cl4173,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( is_a_theorem @ X0 )
| ~ ( is_a_theorem @ ( and @ X2 @ X1 ) )
| ( is_a_theorem @ ( and @ X0 @ X2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1226,zip_derived_cl3602]) ).
thf(zip_derived_cl4229,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ X0 )
| ~ ( is_a_theorem @ X1 )
| ( is_a_theorem @ ( and @ X1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl356,zip_derived_cl4173]) ).
thf(zip_derived_cl4257,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ ( implies @ X0 @ X1 ) )
| ~ ( is_a_theorem @ ( implies @ X1 @ X0 ) )
| ( is_a_theorem @ ( equiv @ X1 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl346,zip_derived_cl4229]) ).
thf(substitution_of_equivalents,axiom,
substitution_of_equivalents ).
thf(zip_derived_cl67,plain,
substitution_of_equivalents,
inference(cnf,[status(esa)],[substitution_of_equivalents]) ).
thf(substitution_of_equivalents_037,axiom,
( substitution_of_equivalents
<=> ! [X: $i,Y: $i] :
( ( is_a_theorem @ ( equiv @ X @ Y ) )
=> ( X = Y ) ) ) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ ( equiv @ X0 @ X1 ) )
| ( X0 = X1 )
| ~ substitution_of_equivalents ),
inference(cnf,[status(esa)],[substitution_of_equivalents]) ).
thf(zip_derived_cl352,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ~ ( is_a_theorem @ ( equiv @ X1 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl67,zip_derived_cl4]) ).
thf(zip_derived_cl4399,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ ( implies @ X1 @ X0 ) )
| ~ ( is_a_theorem @ ( implies @ X0 @ X1 ) )
| ( X1 = X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4257,zip_derived_cl352]) ).
thf(zip_derived_cl4409,plain,
! [X0: $i] :
( ~ ( is_a_theorem @ ( implies @ ( and @ X0 @ X0 ) @ X0 ) )
| ( X0
= ( and @ X0 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl347,zip_derived_cl4399]) ).
thf(zip_derived_cl348_038,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_cl4452,plain,
! [X0: $i] :
( X0
= ( and @ X0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl4409,zip_derived_cl348]) ).
thf(zip_derived_cl345_039,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_cl4726,plain,
! [X0: $i] :
( ( implies @ ( not @ X0 ) @ X0 )
= ( not @ ( not @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl4452,zip_derived_cl345]) ).
thf(zip_derived_cl967_040,plain,
! [X0: $i] : ( is_a_theorem @ ( implies @ X0 @ ( not @ ( not @ X0 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl887,zip_derived_cl965]) ).
thf(zip_derived_cl4399_041,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ ( implies @ X1 @ X0 ) )
| ~ ( is_a_theorem @ ( implies @ X0 @ X1 ) )
| ( X1 = X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4257,zip_derived_cl352]) ).
thf(zip_derived_cl4407,plain,
! [X0: $i] :
( ~ ( is_a_theorem @ ( implies @ ( not @ ( not @ X0 ) ) @ X0 ) )
| ( X0
= ( not @ ( not @ X0 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl967,zip_derived_cl4399]) ).
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_cl887_043,plain,
! [X0: $i] : ( is_a_theorem @ ( or @ ( not @ X0 ) @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl344,zip_derived_cl867]) ).
thf(zip_derived_cl4450,plain,
! [X0: $i] :
( X0
= ( not @ ( not @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4407,zip_derived_cl367,zip_derived_cl887]) ).
thf(zip_derived_cl4780,plain,
! [X0: $i] :
( ( implies @ ( not @ X0 ) @ X0 )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl4726,zip_derived_cl4450]) ).
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_cl345_045,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_cl835_046,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_cl478,zip_derived_cl472]) ).
thf(zip_derived_cl869,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ ( implies @ ( and @ ( not @ X0 ) @ ( not @ X0 ) ) @ X1 ) @ ( implies @ ( not @ X1 ) @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl345,zip_derived_cl835]) ).
thf(zip_derived_cl367_047,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_cl879,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ ( implies @ ( and @ ( not @ X0 ) @ ( not @ X0 ) ) @ X1 ) @ ( or @ X1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl869,zip_derived_cl367]) ).
thf(zip_derived_cl4452_048,plain,
! [X0: $i] :
( X0
= ( and @ X0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl4409,zip_derived_cl348]) ).
thf(zip_derived_cl367_049,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_cl26205,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ ( or @ X0 @ X1 ) @ ( or @ X1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl879,zip_derived_cl4452,zip_derived_cl367]) ).
thf(zip_derived_cl4399_050,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ ( implies @ X1 @ X0 ) )
| ~ ( is_a_theorem @ ( implies @ X0 @ X1 ) )
| ( X1 = X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4257,zip_derived_cl352]) ).
thf(zip_derived_cl26216,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ ( implies @ ( or @ X1 @ X0 ) @ ( or @ X0 @ X1 ) ) )
| ( ( or @ X0 @ X1 )
= ( or @ X1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl26205,zip_derived_cl4399]) ).
thf(zip_derived_cl26205_051,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ ( or @ X0 @ X1 ) @ ( or @ X1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl879,zip_derived_cl4452,zip_derived_cl367]) ).
thf(zip_derived_cl26318,plain,
! [X0: $i,X1: $i] :
( ( or @ X0 @ X1 )
= ( or @ X1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl26216,zip_derived_cl26205]) ).
thf(zip_derived_cl4452_052,plain,
! [X0: $i] :
( X0
= ( and @ X0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl4409,zip_derived_cl348]) ).
thf(zip_derived_cl344_053,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_cl4768,plain,
! [X0: $i] :
( ( or @ X0 @ X0 )
= ( not @ ( not @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl4452,zip_derived_cl344]) ).
thf(zip_derived_cl4450_054,plain,
! [X0: $i] :
( X0
= ( not @ ( not @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4407,zip_derived_cl367,zip_derived_cl887]) ).
thf(zip_derived_cl4812,plain,
! [X0: $i] :
( ( or @ X0 @ X0 )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl4768,zip_derived_cl4450]) ).
thf(zip_derived_cl373_055,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_cl1206_056,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( or @ X1 @ ( implies @ X1 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl345,zip_derived_cl1018]) ).
thf(zip_derived_cl1219,plain,
! [X0: $i,X1: $i,X2: $i] : ( is_a_theorem @ ( implies @ ( or @ X2 @ X1 ) @ ( implies @ ( and @ ( not @ X2 ) @ ( not @ X1 ) ) @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl373,zip_derived_cl1206]) ).
thf(zip_derived_cl4855,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ X0 @ ( implies @ ( and @ ( not @ X0 ) @ ( not @ X0 ) ) @ X1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl4812,zip_derived_cl1219]) ).
thf(zip_derived_cl4452_057,plain,
! [X0: $i] :
( X0
= ( and @ X0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl4409,zip_derived_cl348]) ).
thf(zip_derived_cl367_058,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_cl4882,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ X0 @ ( or @ X0 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4855,zip_derived_cl4452,zip_derived_cl367]) ).
thf(zip_derived_cl26335,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ X0 @ ( or @ X1 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl26318,zip_derived_cl4882]) ).
thf(zip_derived_cl28637,plain,
! [X0: $i,X1: $i,X2: $i] : ( is_a_theorem @ ( implies @ X0 @ ( implies @ ( implies @ X2 @ X1 ) @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl372,zip_derived_cl26335]) ).
thf(zip_derived_cl28728,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ X1 @ ( implies @ X0 @ X1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl4780,zip_derived_cl28637]) ).
thf(zip_derived_cl29053,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl351,zip_derived_cl28728]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : LCL503+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.11 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.3JeNKkrBez true
% 0.10/0.31 % Computer : n020.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Thu Aug 24 17:10:45 EDT 2023
% 0.10/0.32 % CPUTime :
% 0.10/0.32 % Running portfolio for 300 s
% 0.10/0.32 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.32 % Number of cores: 8
% 0.10/0.32 % Python version: Python 3.6.8
% 0.10/0.32 % Running in FO mode
% 0.17/0.56 % Total configuration time : 435
% 0.17/0.56 % Estimated wc time : 1092
% 0.17/0.56 % Estimated cpu time (7 cpus) : 156.0
% 0.17/0.67 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.17/0.67 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.17/0.67 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.17/0.68 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.17/0.68 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.17/0.68 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.17/0.68 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.17/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 56.82/8.82 % Solved by fo/fo6_bce.sh.
% 56.82/8.82 % BCE start: 72
% 56.82/8.82 % BCE eliminated: 2
% 56.82/8.82 % PE start: 70
% 56.82/8.82 logic: eq
% 56.82/8.82 % PE eliminated: 40
% 56.82/8.82 % done 1107 iterations in 8.106s
% 56.82/8.82 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 56.82/8.82 % SZS output start Refutation
% See solution above
% 56.82/8.82
% 56.82/8.82
% 56.82/8.82 % Terminating...
% 57.02/8.91 % Runner terminated.
% 57.02/8.91 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------