TSTP Solution File: LCL519+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL519+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.z00hY9KQs9 true
% Computer : n022.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 09:00:03 EDT 2023
% Result : Theorem 33.70s 5.50s
% Output : Refutation 33.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 41
% Syntax : Number of formulae : 191 ( 105 unt; 19 typ; 0 def)
% Number of atoms : 258 ( 65 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 1291 ( 77 ~; 72 |; 1 &;1128 @)
% ( 6 <=>; 7 =>; 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 : 21 ( 19 usr; 14 con; 0-2 aty)
% Number of variables : 296 ( 0 ^; 296 !; 0 ?; 296 :)
% Comments :
%------------------------------------------------------------------------------
thf(op_or_type,type,
op_or: $o ).
thf(op_and_type,type,
op_and: $o ).
thf(and_type,type,
and: $i > $i > $i ).
thf(is_a_theorem_type,type,
is_a_theorem: $i > $o ).
thf(r2_type,type,
r2: $o ).
thf(sk__45_type,type,
sk__45: $i ).
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(op_implies_or_type,type,
op_implies_or: $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__46_type,type,
sk__46: $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(r2,axiom,
( r2
<=> ! [P: $i,Q: $i] : ( is_a_theorem @ ( implies @ Q @ ( or @ P @ Q ) ) ) ) ).
thf(zip_derived_cl48,plain,
( r2
| ~ ( is_a_theorem @ ( implies @ sk__46 @ ( or @ sk__45 @ sk__46 ) ) ) ),
inference(cnf,[status(esa)],[r2]) ).
thf(principia_r2,conjecture,
r2 ).
thf(zf_stmt_0,negated_conjecture,
~ r2,
inference('cnf.neg',[status(esa)],[principia_r2]) ).
thf(zip_derived_cl71,plain,
~ r2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl357,plain,
~ ( is_a_theorem @ ( implies @ sk__46 @ ( or @ sk__45 @ sk__46 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl48,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_cl328,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_cl362,plain,
~ ( is_a_theorem @ ( implies @ sk__46 @ ( not @ ( and @ ( not @ sk__45 ) @ ( not @ sk__46 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl357,zip_derived_cl328]) ).
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_cl330,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,plain,
~ ( is_a_theorem @ ( implies @ sk__46 @ ( implies @ ( not @ sk__45 ) @ sk__46 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl362,zip_derived_cl330]) ).
thf(zip_derived_cl330_001,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(principia_op_and,axiom,
op_and ).
thf(zip_derived_cl69,plain,
op_and,
inference(cnf,[status(esa)],[principia_op_and]) ).
thf(op_and,axiom,
( op_and
=> ! [X: $i,Y: $i] :
( ( and @ X @ Y )
= ( not @ ( or @ ( not @ X ) @ ( not @ Y ) ) ) ) ) ).
thf(zip_derived_cl56,plain,
! [X0: $i,X1: $i] :
( ( ( and @ X0 @ X1 )
= ( not @ ( or @ ( not @ X0 ) @ ( not @ X1 ) ) ) )
| ~ op_and ),
inference(cnf,[status(esa)],[op_and]) ).
thf(zip_derived_cl329,plain,
! [X0: $i,X1: $i] :
( ( and @ X1 @ X0 )
= ( not @ ( or @ ( not @ X1 ) @ ( not @ X0 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl69,zip_derived_cl56]) ).
thf(principia_op_implies_or,axiom,
op_implies_or ).
thf(zip_derived_cl68,plain,
op_implies_or,
inference(cnf,[status(esa)],[principia_op_implies_or]) ).
thf(op_implies_or,axiom,
( op_implies_or
=> ! [X: $i,Y: $i] :
( ( implies @ X @ Y )
= ( or @ ( not @ X ) @ Y ) ) ) ).
thf(zip_derived_cl58,plain,
! [X0: $i,X1: $i] :
( ( ( implies @ X0 @ X1 )
= ( or @ ( not @ X0 ) @ X1 ) )
| ~ op_implies_or ),
inference(cnf,[status(esa)],[op_implies_or]) ).
thf(zip_derived_cl331,plain,
! [X0: $i,X1: $i] :
( ( implies @ X1 @ X0 )
= ( or @ ( not @ X1 ) @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl68,zip_derived_cl58]) ).
thf(zip_derived_cl377,plain,
! [X0: $i,X1: $i] :
( ( and @ X1 @ X0 )
= ( not @ ( implies @ X1 @ ( not @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl329,zip_derived_cl331]) ).
thf(zip_derived_cl378,plain,
! [X0: $i,X1: $i] :
( ( implies @ X1 @ X0 )
= ( not @ ( not @ ( implies @ X1 @ ( not @ ( not @ X0 ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl330,zip_derived_cl377]) ).
thf(zip_derived_cl378_002,plain,
! [X0: $i,X1: $i] :
( ( implies @ X1 @ X0 )
= ( not @ ( not @ ( implies @ X1 @ ( not @ ( not @ X0 ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl330,zip_derived_cl377]) ).
thf(zip_derived_cl428,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( implies @ X2 @ ( not @ ( implies @ X1 @ ( not @ ( not @ X0 ) ) ) ) )
= ( not @ ( not @ ( implies @ X2 @ ( not @ ( implies @ X1 @ X0 ) ) ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl378,zip_derived_cl378]) ).
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_cl353,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_cl359,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_cl360,plain,
! [X0: $i] :
( ( is_a_theorem @ ( and @ X0 @ X0 ) )
| ~ ( is_a_theorem @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl353,zip_derived_cl359]) ).
thf(zip_derived_cl377_003,plain,
! [X0: $i,X1: $i] :
( ( and @ X1 @ X0 )
= ( not @ ( implies @ X1 @ ( not @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl329,zip_derived_cl331]) ).
thf(zip_derived_cl381,plain,
! [X0: $i] :
( ( is_a_theorem @ ( not @ ( implies @ X0 @ ( not @ X0 ) ) ) )
| ~ ( is_a_theorem @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl360,zip_derived_cl377]) ).
thf(zip_derived_cl763,plain,
! [X0: $i,X1: $i] :
( ( is_a_theorem @ ( not @ ( not @ ( not @ ( implies @ ( implies @ X1 @ ( not @ ( not @ X0 ) ) ) @ ( not @ ( implies @ X1 @ X0 ) ) ) ) ) ) )
| ~ ( is_a_theorem @ ( implies @ X1 @ ( not @ ( not @ X0 ) ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl428,zip_derived_cl381]) ).
thf(zip_derived_cl378_004,plain,
! [X0: $i,X1: $i] :
( ( implies @ X1 @ X0 )
= ( not @ ( not @ ( implies @ X1 @ ( not @ ( not @ X0 ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl330,zip_derived_cl377]) ).
thf(zip_derived_cl328_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_cl330_006,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_cl366,plain,
! [X0: $i,X1: $i] :
( ( or @ X1 @ X0 )
= ( implies @ ( not @ X1 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl328,zip_derived_cl330]) ).
thf(zip_derived_cl331_007,plain,
! [X0: $i,X1: $i] :
( ( implies @ X1 @ X0 )
= ( or @ ( not @ X1 ) @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl68,zip_derived_cl58]) ).
thf(zip_derived_cl371,plain,
! [X0: $i,X1: $i] :
( ( implies @ X1 @ X0 )
= ( implies @ ( not @ ( not @ X1 ) ) @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl366,zip_derived_cl331]) ).
thf(zip_derived_cl438,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( implies @ ( implies @ X1 @ ( not @ ( not @ X0 ) ) ) @ X2 )
= ( implies @ ( implies @ X1 @ X0 ) @ X2 ) ),
inference('sup+',[status(thm)],[zip_derived_cl378,zip_derived_cl371]) ).
thf(zip_derived_cl3252,plain,
! [X0: $i,X1: $i] :
( ( is_a_theorem @ ( not @ ( not @ ( not @ ( implies @ ( implies @ X1 @ X0 ) @ ( not @ ( implies @ X1 @ X0 ) ) ) ) ) ) )
| ~ ( is_a_theorem @ ( implies @ X1 @ ( not @ ( not @ X0 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl763,zip_derived_cl438]) ).
thf(zip_derived_cl371_008,plain,
! [X0: $i,X1: $i] :
( ( implies @ X1 @ X0 )
= ( implies @ ( not @ ( not @ X1 ) ) @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl366,zip_derived_cl331]) ).
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_009,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_cl358,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(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_cl352,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_cl377_010,plain,
! [X0: $i,X1: $i] :
( ( and @ X1 @ X0 )
= ( not @ ( implies @ X1 @ ( not @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl329,zip_derived_cl331]) ).
thf(zip_derived_cl417,plain,
! [X0: $i,X1: $i] :
( ( equiv @ X1 @ X0 )
= ( not @ ( implies @ ( implies @ X1 @ X0 ) @ ( not @ ( implies @ X0 @ X1 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl352,zip_derived_cl377]) ).
thf(zip_derived_cl418,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ~ ( is_a_theorem @ ( not @ ( implies @ ( implies @ X1 @ X0 ) @ ( not @ ( implies @ X0 @ X1 ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl358,zip_derived_cl417]) ).
thf(zip_derived_cl426,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ ( not @ ( implies @ ( implies @ X1 @ X0 ) @ ( not @ ( implies @ X0 @ ( not @ ( not @ X1 ) ) ) ) ) ) )
| ( ( not @ ( not @ X1 ) )
= X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl371,zip_derived_cl418]) ).
thf(zip_derived_cl428_011,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( implies @ X2 @ ( not @ ( implies @ X1 @ ( not @ ( not @ X0 ) ) ) ) )
= ( not @ ( not @ ( implies @ X2 @ ( not @ ( implies @ X1 @ X0 ) ) ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl378,zip_derived_cl378]) ).
thf(zip_derived_cl740,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ ( not @ ( not @ ( not @ ( implies @ ( implies @ X1 @ X0 ) @ ( not @ ( implies @ X0 @ X1 ) ) ) ) ) ) )
| ( ( not @ ( not @ X1 ) )
= X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl426,zip_derived_cl428]) ).
thf(zip_derived_cl3257,plain,
! [X0: $i] :
( ~ ( is_a_theorem @ ( implies @ X0 @ ( not @ ( not @ X0 ) ) ) )
| ( ( not @ ( not @ X0 ) )
= X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl3252,zip_derived_cl740]) ).
thf(zip_derived_cl378_012,plain,
! [X0: $i,X1: $i] :
( ( implies @ X1 @ X0 )
= ( not @ ( not @ ( implies @ X1 @ ( not @ ( not @ X0 ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl330,zip_derived_cl377]) ).
thf(zip_derived_cl371_013,plain,
! [X0: $i,X1: $i] :
( ( implies @ X1 @ X0 )
= ( implies @ ( not @ ( not @ X1 ) ) @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl366,zip_derived_cl331]) ).
thf(zip_derived_cl434,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( implies @ ( not @ ( implies @ X1 @ ( not @ ( not @ X0 ) ) ) ) @ X2 )
= ( implies @ ( not @ ( implies @ X1 @ X0 ) ) @ X2 ) ),
inference('sup+',[status(thm)],[zip_derived_cl378,zip_derived_cl371]) ).
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_cl354,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_cl377_014,plain,
! [X0: $i,X1: $i] :
( ( and @ X1 @ X0 )
= ( not @ ( implies @ X1 @ ( not @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl329,zip_derived_cl331]) ).
thf(zip_derived_cl380,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ ( not @ ( implies @ X0 @ ( not @ X1 ) ) ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl354,zip_derived_cl377]) ).
thf(zip_derived_cl1015,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ ( not @ ( implies @ X0 @ X1 ) ) @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl434,zip_derived_cl380]) ).
thf(zip_derived_cl353_015,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_cl377_016,plain,
! [X0: $i,X1: $i] :
( ( and @ X1 @ X0 )
= ( not @ ( implies @ X1 @ ( not @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl329,zip_derived_cl331]) ).
thf(zip_derived_cl379,plain,
! [X0: $i] : ( is_a_theorem @ ( implies @ X0 @ ( not @ ( implies @ X0 @ ( not @ X0 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl353,zip_derived_cl377]) ).
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_cl355,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_cl377_017,plain,
! [X0: $i,X1: $i] :
( ( and @ X1 @ X0 )
= ( not @ ( implies @ X1 @ ( not @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl329,zip_derived_cl331]) ).
thf(zip_derived_cl377_018,plain,
! [X0: $i,X1: $i] :
( ( and @ X1 @ X0 )
= ( not @ ( implies @ X1 @ ( not @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl329,zip_derived_cl331]) ).
thf(zip_derived_cl371_019,plain,
! [X0: $i,X1: $i] :
( ( implies @ X1 @ X0 )
= ( implies @ ( not @ ( not @ X1 ) ) @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl366,zip_derived_cl331]) ).
thf(zip_derived_cl461,plain,
! [X0: $i,X1: $i,X2: $i] : ( is_a_theorem @ ( implies @ ( implies @ X0 @ X2 ) @ ( implies @ ( implies @ X2 @ ( not @ X1 ) ) @ ( not @ ( not @ ( implies @ X1 @ ( not @ X0 ) ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl355,zip_derived_cl377,zip_derived_cl377,zip_derived_cl371]) ).
thf(zip_derived_cl378_020,plain,
! [X0: $i,X1: $i] :
( ( implies @ X1 @ X0 )
= ( not @ ( not @ ( implies @ X1 @ ( not @ ( not @ X0 ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl330,zip_derived_cl377]) ).
thf(zip_derived_cl371_021,plain,
! [X0: $i,X1: $i] :
( ( implies @ X1 @ X0 )
= ( implies @ ( not @ ( not @ X1 ) ) @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl366,zip_derived_cl331]) ).
thf(zip_derived_cl381_022,plain,
! [X0: $i] :
( ( is_a_theorem @ ( not @ ( implies @ X0 @ ( not @ X0 ) ) ) )
| ~ ( is_a_theorem @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl360,zip_derived_cl377]) ).
thf(zip_derived_cl383,plain,
! [X0: $i] :
( ( is_a_theorem @ ( not @ ( implies @ X0 @ ( not @ ( not @ ( not @ X0 ) ) ) ) ) )
| ~ ( is_a_theorem @ ( not @ ( not @ X0 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl371,zip_derived_cl381]) ).
thf(zip_derived_cl378_023,plain,
! [X0: $i,X1: $i] :
( ( implies @ X1 @ X0 )
= ( not @ ( not @ ( implies @ X1 @ ( not @ ( not @ X0 ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl330,zip_derived_cl377]) ).
thf(zip_derived_cl380_024,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ ( not @ ( implies @ X0 @ ( not @ X1 ) ) ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl354,zip_derived_cl377]) ).
thf(zip_derived_cl371_025,plain,
! [X0: $i,X1: $i] :
( ( implies @ X1 @ X0 )
= ( implies @ ( not @ ( not @ X1 ) ) @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl366,zip_derived_cl331]) ).
thf(zip_derived_cl359_026,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_cl374,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ ( implies @ X1 @ X0 ) )
| ( is_a_theorem @ X0 )
| ~ ( is_a_theorem @ ( not @ ( not @ X1 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl371,zip_derived_cl359]) ).
thf(zip_derived_cl413,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ ( not @ ( not @ ( not @ ( implies @ X0 @ ( not @ X1 ) ) ) ) ) )
| ( is_a_theorem @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl380,zip_derived_cl374]) ).
thf(zip_derived_cl441,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ ( not @ ( implies @ X1 @ X0 ) ) )
| ( is_a_theorem @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl378,zip_derived_cl413]) ).
thf(zip_derived_cl514,plain,
! [X0: $i] :
( ~ ( is_a_theorem @ ( not @ ( not @ X0 ) ) )
| ( is_a_theorem @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl383,zip_derived_cl441]) ).
thf(zip_derived_cl525,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ ( implies @ X1 @ X0 ) )
| ( is_a_theorem @ ( implies @ X1 @ ( not @ ( not @ X0 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl378,zip_derived_cl514]) ).
thf(zip_derived_cl359_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_cl585,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ ( implies @ X1 @ X0 ) )
| ( is_a_theorem @ ( not @ ( not @ X0 ) ) )
| ~ ( is_a_theorem @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl525,zip_derived_cl359]) ).
thf(zip_derived_cl623,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( is_a_theorem @ ( implies @ X0 @ X2 ) )
| ( is_a_theorem @ ( not @ ( not @ ( implies @ ( implies @ X2 @ ( not @ X1 ) ) @ ( not @ ( not @ ( implies @ X1 @ ( not @ X0 ) ) ) ) ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl461,zip_derived_cl585]) ).
thf(zip_derived_cl378_028,plain,
! [X0: $i,X1: $i] :
( ( implies @ X1 @ X0 )
= ( not @ ( not @ ( implies @ X1 @ ( not @ ( not @ X0 ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl330,zip_derived_cl377]) ).
thf(zip_derived_cl629,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( is_a_theorem @ ( implies @ X0 @ X2 ) )
| ( is_a_theorem @ ( implies @ ( implies @ X2 @ ( not @ X1 ) ) @ ( implies @ X1 @ ( not @ X0 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl623,zip_derived_cl378]) ).
thf(zip_derived_cl1916,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ ( implies @ ( not @ ( implies @ X0 @ ( not @ X0 ) ) ) @ ( not @ X1 ) ) @ ( implies @ X1 @ ( not @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl379,zip_derived_cl629]) ).
thf(zip_derived_cl359_029,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_cl27181,plain,
! [X0: $i,X1: $i] :
( ( is_a_theorem @ ( implies @ X1 @ ( not @ X0 ) ) )
| ~ ( is_a_theorem @ ( implies @ ( not @ ( implies @ X0 @ ( not @ X0 ) ) ) @ ( not @ X1 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1916,zip_derived_cl359]) ).
thf(zip_derived_cl28299,plain,
! [X0: $i] : ( is_a_theorem @ ( implies @ X0 @ ( not @ ( not @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1015,zip_derived_cl27181]) ).
thf(zip_derived_cl28381,plain,
! [X0: $i] :
( ( not @ ( not @ X0 ) )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl3257,zip_derived_cl28299]) ).
thf(zip_derived_cl28299_030,plain,
! [X0: $i] : ( is_a_theorem @ ( implies @ X0 @ ( not @ ( not @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1015,zip_derived_cl27181]) ).
thf(zip_derived_cl629_031,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( is_a_theorem @ ( implies @ X0 @ X2 ) )
| ( is_a_theorem @ ( implies @ ( implies @ X2 @ ( not @ X1 ) ) @ ( implies @ X1 @ ( not @ X0 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl623,zip_derived_cl378]) ).
thf(zip_derived_cl28408,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ ( implies @ ( not @ ( not @ X0 ) ) @ ( not @ X1 ) ) @ ( implies @ X1 @ ( not @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl28299,zip_derived_cl629]) ).
thf(zip_derived_cl371_032,plain,
! [X0: $i,X1: $i] :
( ( implies @ X1 @ X0 )
= ( implies @ ( not @ ( not @ X1 ) ) @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl366,zip_derived_cl331]) ).
thf(zip_derived_cl28530,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ ( implies @ X0 @ ( not @ X1 ) ) @ ( implies @ X1 @ ( not @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28408,zip_derived_cl371]) ).
thf(zip_derived_cl29600,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ ( implies @ ( not @ X0 ) @ ( not @ X1 ) ) @ ( implies @ X1 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl28381,zip_derived_cl28530]) ).
thf(zip_derived_cl28381_033,plain,
! [X0: $i] :
( ( not @ ( not @ X0 ) )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl3257,zip_derived_cl28299]) ).
thf(zip_derived_cl28299_034,plain,
! [X0: $i] : ( is_a_theorem @ ( implies @ X0 @ ( not @ ( not @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1015,zip_derived_cl27181]) ).
thf(zip_derived_cl525_035,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ ( implies @ X1 @ X0 ) )
| ( is_a_theorem @ ( implies @ X1 @ ( not @ ( not @ X0 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl378,zip_derived_cl514]) ).
thf(zip_derived_cl1015_036,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ ( not @ ( implies @ X0 @ X1 ) ) @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl434,zip_derived_cl380]) ).
thf(zip_derived_cl371_037,plain,
! [X0: $i,X1: $i] :
( ( implies @ X1 @ X0 )
= ( implies @ ( not @ ( not @ X1 ) ) @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl366,zip_derived_cl331]) ).
thf(zip_derived_cl461_038,plain,
! [X0: $i,X1: $i,X2: $i] : ( is_a_theorem @ ( implies @ ( implies @ X0 @ X2 ) @ ( implies @ ( implies @ X2 @ ( not @ X1 ) ) @ ( not @ ( not @ ( implies @ X1 @ ( not @ X0 ) ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl355,zip_derived_cl377,zip_derived_cl377,zip_derived_cl371]) ).
thf(zip_derived_cl471,plain,
! [X0: $i,X1: $i,X2: $i] : ( is_a_theorem @ ( implies @ ( implies @ X1 @ X0 ) @ ( implies @ ( implies @ X0 @ ( not @ X2 ) ) @ ( not @ ( not @ ( implies @ X2 @ ( not @ ( not @ ( not @ X1 ) ) ) ) ) ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl371,zip_derived_cl461]) ).
thf(zip_derived_cl378_039,plain,
! [X0: $i,X1: $i] :
( ( implies @ X1 @ X0 )
= ( not @ ( not @ ( implies @ X1 @ ( not @ ( not @ X0 ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl330,zip_derived_cl377]) ).
thf(zip_derived_cl472,plain,
! [X0: $i,X1: $i,X2: $i] : ( is_a_theorem @ ( implies @ ( implies @ X1 @ X0 ) @ ( implies @ ( implies @ X0 @ ( not @ X2 ) ) @ ( implies @ X2 @ ( not @ X1 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl471,zip_derived_cl378]) ).
thf(zip_derived_cl371_040,plain,
! [X0: $i,X1: $i] :
( ( implies @ X1 @ X0 )
= ( implies @ ( not @ ( not @ X1 ) ) @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl366,zip_derived_cl331]) ).
thf(zip_derived_cl354_041,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_cl359_042,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_cl364,plain,
! [X0: $i,X1: $i] :
( ( is_a_theorem @ X0 )
| ~ ( is_a_theorem @ ( and @ X0 @ X1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl354,zip_derived_cl359]) ).
thf(zip_derived_cl377_043,plain,
! [X0: $i,X1: $i] :
( ( and @ X1 @ X0 )
= ( not @ ( implies @ X1 @ ( not @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl329,zip_derived_cl331]) ).
thf(zip_derived_cl382,plain,
! [X0: $i,X1: $i] :
( ( is_a_theorem @ X0 )
| ~ ( is_a_theorem @ ( not @ ( implies @ X0 @ ( not @ X1 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl364,zip_derived_cl377]) ).
thf(zip_derived_cl399,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ ( not @ ( implies @ X1 @ ( not @ X0 ) ) ) )
| ( is_a_theorem @ ( not @ ( not @ X1 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl371,zip_derived_cl382]) ).
thf(zip_derived_cl381_044,plain,
! [X0: $i] :
( ( is_a_theorem @ ( not @ ( implies @ X0 @ ( not @ X0 ) ) ) )
| ~ ( is_a_theorem @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl360,zip_derived_cl377]) ).
thf(zip_derived_cl403,plain,
! [X0: $i] :
( ( is_a_theorem @ ( not @ ( not @ X0 ) ) )
| ~ ( is_a_theorem @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl399,zip_derived_cl381]) ).
thf(zip_derived_cl378_045,plain,
! [X0: $i,X1: $i] :
( ( implies @ X1 @ X0 )
= ( not @ ( not @ ( implies @ X1 @ ( not @ ( not @ X0 ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl330,zip_derived_cl377]) ).
thf(zip_derived_cl378_046,plain,
! [X0: $i,X1: $i] :
( ( implies @ X1 @ X0 )
= ( not @ ( not @ ( implies @ X1 @ ( not @ ( not @ X0 ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl330,zip_derived_cl377]) ).
thf(zip_derived_cl439,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( implies @ X2 @ ( implies @ X1 @ ( not @ ( not @ X0 ) ) ) )
= ( not @ ( not @ ( implies @ X2 @ ( implies @ X1 @ X0 ) ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl378,zip_derived_cl378]) ).
thf(zip_derived_cl359_047,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_cl1102,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( is_a_theorem @ ( not @ ( not @ ( implies @ X2 @ ( implies @ X1 @ X0 ) ) ) ) )
| ( is_a_theorem @ ( implies @ X1 @ ( not @ ( not @ X0 ) ) ) )
| ~ ( is_a_theorem @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl439,zip_derived_cl359]) ).
thf(zip_derived_cl3776,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( is_a_theorem @ ( implies @ X2 @ ( implies @ X1 @ X0 ) ) )
| ~ ( is_a_theorem @ X2 )
| ( is_a_theorem @ ( implies @ X1 @ ( not @ ( not @ X0 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl403,zip_derived_cl1102]) ).
thf(zip_derived_cl3794,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( is_a_theorem @ ( implies @ ( implies @ X2 @ ( not @ X1 ) ) @ ( not @ ( not @ ( implies @ X1 @ ( not @ X0 ) ) ) ) ) )
| ~ ( is_a_theorem @ ( implies @ X0 @ X2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl472,zip_derived_cl3776]) ).
thf(zip_derived_cl5350,plain,
! [X0: $i,X1: $i,X2: $i] : ( is_a_theorem @ ( implies @ ( implies @ X0 @ ( not @ X2 ) ) @ ( not @ ( not @ ( implies @ X2 @ ( not @ ( not @ ( implies @ X0 @ X1 ) ) ) ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1015,zip_derived_cl3794]) ).
thf(zip_derived_cl378_048,plain,
! [X0: $i,X1: $i] :
( ( implies @ X1 @ X0 )
= ( not @ ( not @ ( implies @ X1 @ ( not @ ( not @ X0 ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl330,zip_derived_cl377]) ).
thf(zip_derived_cl5365,plain,
! [X0: $i,X1: $i,X2: $i] : ( is_a_theorem @ ( implies @ ( implies @ X0 @ ( not @ X2 ) ) @ ( implies @ X2 @ ( implies @ X0 @ X1 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5350,zip_derived_cl378]) ).
thf(zip_derived_cl359_049,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_cl5374,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( is_a_theorem @ ( implies @ X2 @ ( implies @ X1 @ X0 ) ) )
| ~ ( is_a_theorem @ ( implies @ X1 @ ( not @ X2 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl5365,zip_derived_cl359]) ).
thf(zip_derived_cl5469,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( is_a_theorem @ ( implies @ X1 @ X0 ) )
| ( is_a_theorem @ ( implies @ ( not @ X0 ) @ ( implies @ X1 @ X2 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl525,zip_derived_cl5374]) ).
thf(zip_derived_cl28405,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ ( not @ ( not @ ( not @ X0 ) ) ) @ ( implies @ X0 @ X1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl28299,zip_derived_cl5469]) ).
thf(zip_derived_cl371_050,plain,
! [X0: $i,X1: $i] :
( ( implies @ X1 @ X0 )
= ( implies @ ( not @ ( not @ X1 ) ) @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl366,zip_derived_cl331]) ).
thf(zip_derived_cl28527,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ ( not @ X0 ) @ ( implies @ X0 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28405,zip_derived_cl371]) ).
thf(zip_derived_cl629_051,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( is_a_theorem @ ( implies @ X0 @ X2 ) )
| ( is_a_theorem @ ( implies @ ( implies @ X2 @ ( not @ X1 ) ) @ ( implies @ X1 @ ( not @ X0 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl623,zip_derived_cl378]) ).
thf(zip_derived_cl28950,plain,
! [X0: $i,X1: $i,X2: $i] : ( is_a_theorem @ ( implies @ ( implies @ ( implies @ X1 @ X0 ) @ ( not @ X2 ) ) @ ( implies @ X2 @ ( not @ ( not @ X1 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl28527,zip_derived_cl629]) ).
thf(zip_derived_cl28381_052,plain,
! [X0: $i] :
( ( not @ ( not @ X0 ) )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl3257,zip_derived_cl28299]) ).
thf(zip_derived_cl28955,plain,
! [X0: $i,X1: $i,X2: $i] : ( is_a_theorem @ ( implies @ ( implies @ ( implies @ X1 @ X0 ) @ ( not @ X2 ) ) @ ( implies @ X2 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28950,zip_derived_cl28381]) ).
thf(zip_derived_cl359_053,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_cl30108,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( is_a_theorem @ ( implies @ X1 @ X0 ) )
| ~ ( is_a_theorem @ ( implies @ ( implies @ X0 @ X2 ) @ ( not @ X1 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl28955,zip_derived_cl359]) ).
thf(zip_derived_cl30124,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( is_a_theorem @ ( implies @ ( implies @ X2 @ X1 ) @ X0 ) )
| ( is_a_theorem @ ( implies @ ( not @ X0 ) @ X2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl28381,zip_derived_cl30108]) ).
thf(zip_derived_cl30146,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ ( not @ ( implies @ X1 @ X0 ) ) @ ( not @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl29600,zip_derived_cl30124]) ).
thf(zip_derived_cl29600_054,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ ( implies @ ( not @ X0 ) @ ( not @ X1 ) ) @ ( implies @ X1 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl28381,zip_derived_cl28530]) ).
thf(zip_derived_cl359_055,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_cl29886,plain,
! [X0: $i,X1: $i] :
( ( is_a_theorem @ ( implies @ X1 @ X0 ) )
| ~ ( is_a_theorem @ ( implies @ ( not @ X0 ) @ ( not @ X1 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl29600,zip_derived_cl359]) ).
thf(zip_derived_cl30254,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ X0 @ ( implies @ X1 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl30146,zip_derived_cl29886]) ).
thf(zip_derived_cl30272,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl367,zip_derived_cl30254]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LCL519+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.z00hY9KQs9 true
% 0.14/0.36 % Computer : n022.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri Aug 25 02:58:25 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.22/0.66 % Total configuration time : 435
% 0.22/0.66 % Estimated wc time : 1092
% 0.22/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.74 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.77/0.81 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 33.70/5.50 % Solved by fo/fo3_bce.sh.
% 33.70/5.50 % BCE start: 72
% 33.70/5.50 % BCE eliminated: 0
% 33.70/5.50 % PE start: 72
% 33.70/5.50 logic: eq
% 33.70/5.50 % PE eliminated: 40
% 33.70/5.50 % done 5015 iterations in 4.729s
% 33.70/5.50 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 33.70/5.50 % SZS output start Refutation
% See solution above
% 33.70/5.50
% 33.70/5.50
% 33.70/5.50 % Terminating...
% 34.33/5.58 % Runner terminated.
% 34.33/5.60 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------