TSTP Solution File: LCL513+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL513+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.QEspyfnFFL true
% Computer : n002.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 09:00:01 EDT 2023
% Result : Theorem 86.53s 12.95s
% Output : Refutation 86.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 32
% Syntax : Number of formulae : 153 ( 82 unt; 16 typ; 0 def)
% Number of atoms : 206 ( 34 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 981 ( 62 ~; 59 |; 1 &; 850 @)
% ( 5 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 10 ( 10 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 16 usr; 11 con; 0-2 aty)
% Number of variables : 243 ( 0 ^; 243 !; 0 ?; 243 :)
% 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(op_equiv_type,type,
op_equiv: $o ).
thf(sk__29_type,type,
sk__29: $i ).
thf(equivalence_2_type,type,
equivalence_2: $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__28_type,type,
sk__28: $i ).
thf(implies_type,type,
implies: $i > $i > $i ).
thf(kn3_type,type,
kn3: $o ).
thf(not_type,type,
not: $i > $i ).
thf(equivalence_2,axiom,
( equivalence_2
<=> ! [X: $i,Y: $i] : ( is_a_theorem @ ( implies @ ( equiv @ X @ Y ) @ ( implies @ Y @ X ) ) ) ) ).
thf(zip_derived_cl30,plain,
( equivalence_2
| ~ ( is_a_theorem @ ( implies @ ( equiv @ sk__28 @ sk__29 ) @ ( implies @ sk__29 @ sk__28 ) ) ) ),
inference(cnf,[status(esa)],[equivalence_2]) ).
thf(hilbert_equivalence_2,conjecture,
equivalence_2 ).
thf(zf_stmt_0,negated_conjecture,
~ equivalence_2,
inference('cnf.neg',[status(esa)],[hilbert_equivalence_2]) ).
thf(zip_derived_cl71,plain,
~ equivalence_2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl114,plain,
~ ( is_a_theorem @ ( implies @ ( equiv @ sk__28 @ sk__29 ) @ ( implies @ sk__29 @ sk__28 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl30,zip_derived_cl71]) ).
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(rosser_op_equiv,axiom,
op_equiv ).
thf(zip_derived_cl62,plain,
op_equiv,
inference(cnf,[status(esa)],[rosser_op_equiv]) ).
thf(zip_derived_cl163,plain,
! [X0: $i,X1: $i] :
( ( equiv @ X0 @ X1 )
= ( and @ ( implies @ X0 @ X1 ) @ ( implies @ X1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl59,zip_derived_cl62]) ).
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(rosser_kn2,axiom,
kn2 ).
thf(zip_derived_cl65,plain,
kn2,
inference(cnf,[status(esa)],[rosser_kn2]) ).
thf(zip_derived_cl83,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ ( and @ X0 @ X1 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl35,zip_derived_cl65]) ).
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(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(zip_derived_cl86,plain,
! [X0: $i,X1: $i] :
( ( implies @ X0 @ X1 )
= ( not @ ( and @ X0 @ ( not @ X1 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl57,zip_derived_cl61]) ).
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(rosser_kn1,axiom,
kn1 ).
thf(zip_derived_cl64,plain,
kn1,
inference(cnf,[status(esa)],[rosser_kn1]) ).
thf(zip_derived_cl81,plain,
! [X0: $i] : ( is_a_theorem @ ( implies @ X0 @ ( and @ X0 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl33,zip_derived_cl64]) ).
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(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(rosser_op_or,axiom,
op_or ).
thf(zip_derived_cl60,plain,
op_or,
inference(cnf,[status(esa)],[rosser_op_or]) ).
thf(zip_derived_cl116,plain,
! [X0: $i,X1: $i] :
( ( or @ X0 @ X1 )
= ( not @ ( and @ ( not @ X0 ) @ ( not @ X1 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl55,zip_derived_cl60]) ).
thf(zip_derived_cl86_001,plain,
! [X0: $i,X1: $i] :
( ( implies @ X0 @ X1 )
= ( not @ ( and @ X0 @ ( not @ X1 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl57,zip_derived_cl61]) ).
thf(zip_derived_cl122,plain,
! [X0: $i,X1: $i] :
( ( implies @ ( not @ X1 ) @ X0 )
= ( or @ X1 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl116,zip_derived_cl86]) ).
thf(rosser_kn3,axiom,
kn3 ).
thf(zip_derived_cl66,plain,
kn3,
inference(cnf,[status(esa)],[rosser_kn3]) ).
thf(zip_derived_cl242,plain,
! [X0: $i,X1: $i,X2: $i] : ( is_a_theorem @ ( implies @ ( implies @ X0 @ X1 ) @ ( or @ ( and @ X1 @ X2 ) @ ( not @ ( and @ X2 @ X0 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl37,zip_derived_cl122,zip_derived_cl66]) ).
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(rosser_modus_ponens,axiom,
modus_ponens ).
thf(zip_derived_cl63,plain,
modus_ponens,
inference(cnf,[status(esa)],[rosser_modus_ponens]) ).
thf(zip_derived_cl72,plain,
! [X0: $i,X1: $i] :
( ( is_a_theorem @ X0 )
| ~ ( is_a_theorem @ ( implies @ X1 @ X0 ) )
| ~ ( is_a_theorem @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl0,zip_derived_cl63]) ).
thf(zip_derived_cl243,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('sup-',[status(thm)],[zip_derived_cl242,zip_derived_cl72]) ).
thf(zip_derived_cl265,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( or @ ( and @ ( and @ X0 @ X0 ) @ X1 ) @ ( not @ ( and @ X1 @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl81,zip_derived_cl243]) ).
thf(zip_derived_cl122_002,plain,
! [X0: $i,X1: $i] :
( ( implies @ ( not @ X1 ) @ X0 )
= ( or @ X1 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl116,zip_derived_cl86]) ).
thf(zip_derived_cl72_003,plain,
! [X0: $i,X1: $i] :
( ( is_a_theorem @ X0 )
| ~ ( is_a_theorem @ ( implies @ X1 @ X0 ) )
| ~ ( is_a_theorem @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl0,zip_derived_cl63]) ).
thf(zip_derived_cl148,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ ( or @ X1 @ X0 ) )
| ~ ( is_a_theorem @ ( not @ X1 ) )
| ( is_a_theorem @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl122,zip_derived_cl72]) ).
thf(zip_derived_cl318,plain,
! [X0: $i,X1: $i] :
( ( is_a_theorem @ ( not @ ( and @ X1 @ X0 ) ) )
| ~ ( is_a_theorem @ ( not @ ( and @ ( and @ X0 @ X0 ) @ X1 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl265,zip_derived_cl148]) ).
thf(zip_derived_cl335,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ ( implies @ ( and @ X1 @ X1 ) @ X0 ) )
| ( is_a_theorem @ ( not @ ( and @ ( not @ X0 ) @ X1 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl86,zip_derived_cl318]) ).
thf(zip_derived_cl339,plain,
! [X0: $i] : ( is_a_theorem @ ( not @ ( and @ ( not @ X0 ) @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl83,zip_derived_cl335]) ).
thf(zip_derived_cl122_004,plain,
! [X0: $i,X1: $i] :
( ( implies @ ( not @ X1 ) @ X0 )
= ( or @ X1 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl116,zip_derived_cl86]) ).
thf(zip_derived_cl86_005,plain,
! [X0: $i,X1: $i] :
( ( implies @ X0 @ X1 )
= ( not @ ( and @ X0 @ ( not @ X1 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl57,zip_derived_cl61]) ).
thf(zip_derived_cl116_006,plain,
! [X0: $i,X1: $i] :
( ( or @ X0 @ X1 )
= ( not @ ( and @ ( not @ X0 ) @ ( not @ X1 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl55,zip_derived_cl60]) ).
thf(zip_derived_cl133,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( or @ ( and @ X1 @ ( not @ X0 ) ) @ X2 )
= ( not @ ( and @ ( implies @ X1 @ X0 ) @ ( not @ X2 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl86,zip_derived_cl116]) ).
thf(zip_derived_cl86_007,plain,
! [X0: $i,X1: $i] :
( ( implies @ X0 @ X1 )
= ( not @ ( and @ X0 @ ( not @ X1 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl57,zip_derived_cl61]) ).
thf(zip_derived_cl137,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( or @ ( and @ X1 @ ( not @ X0 ) ) @ X2 )
= ( implies @ ( implies @ X1 @ X0 ) @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl133,zip_derived_cl86]) ).
thf(zip_derived_cl86_008,plain,
! [X0: $i,X1: $i] :
( ( implies @ X0 @ X1 )
= ( not @ ( and @ X0 @ ( not @ X1 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl57,zip_derived_cl61]) ).
thf(zip_derived_cl83_009,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ ( and @ X0 @ X1 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl35,zip_derived_cl65]) ).
thf(zip_derived_cl86_010,plain,
! [X0: $i,X1: $i] :
( ( implies @ X0 @ X1 )
= ( not @ ( and @ X0 @ ( not @ X1 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl57,zip_derived_cl61]) ).
thf(zip_derived_cl116_011,plain,
! [X0: $i,X1: $i] :
( ( or @ X0 @ X1 )
= ( not @ ( and @ ( not @ X0 ) @ ( not @ X1 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl55,zip_derived_cl60]) ).
thf(zip_derived_cl339_012,plain,
! [X0: $i] : ( is_a_theorem @ ( not @ ( and @ ( not @ X0 ) @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl83,zip_derived_cl335]) ).
thf(zip_derived_cl347,plain,
! [X0: $i] : ( is_a_theorem @ ( or @ ( not @ X0 ) @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl116,zip_derived_cl339]) ).
thf(zip_derived_cl122_013,plain,
! [X0: $i,X1: $i] :
( ( implies @ ( not @ X1 ) @ X0 )
= ( or @ X1 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl116,zip_derived_cl86]) ).
thf(zip_derived_cl243_014,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('sup-',[status(thm)],[zip_derived_cl242,zip_derived_cl72]) ).
thf(zip_derived_cl271,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( is_a_theorem @ ( or @ X1 @ X0 ) )
| ( is_a_theorem @ ( or @ ( and @ X0 @ X2 ) @ ( not @ ( and @ X2 @ ( not @ X1 ) ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl122,zip_derived_cl243]) ).
thf(zip_derived_cl86_015,plain,
! [X0: $i,X1: $i] :
( ( implies @ X0 @ X1 )
= ( not @ ( and @ X0 @ ( not @ X1 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl57,zip_derived_cl61]) ).
thf(zip_derived_cl274,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( is_a_theorem @ ( or @ X1 @ X0 ) )
| ( is_a_theorem @ ( or @ ( and @ X0 @ X2 ) @ ( implies @ X2 @ X1 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl271,zip_derived_cl86]) ).
thf(zip_derived_cl360,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( or @ ( and @ X0 @ X1 ) @ ( implies @ X1 @ ( not @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl347,zip_derived_cl274]) ).
thf(zip_derived_cl148_016,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ ( or @ X1 @ X0 ) )
| ~ ( is_a_theorem @ ( not @ X1 ) )
| ( is_a_theorem @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl122,zip_derived_cl72]) ).
thf(zip_derived_cl439,plain,
! [X0: $i,X1: $i] :
( ( is_a_theorem @ ( implies @ X1 @ ( not @ X0 ) ) )
| ~ ( is_a_theorem @ ( not @ ( and @ X0 @ X1 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl360,zip_derived_cl148]) ).
thf(zip_derived_cl459,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_cl86,zip_derived_cl439]) ).
thf(zip_derived_cl122_017,plain,
! [X0: $i,X1: $i] :
( ( implies @ ( not @ X1 ) @ X0 )
= ( or @ X1 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl116,zip_derived_cl86]) ).
thf(zip_derived_cl462,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ ( implies @ X1 @ X0 ) )
| ( is_a_theorem @ ( or @ X0 @ ( not @ X1 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl459,zip_derived_cl122]) ).
thf(zip_derived_cl516,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( or @ X0 @ ( not @ ( and @ X0 @ X1 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl83,zip_derived_cl462]) ).
thf(zip_derived_cl582,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( or @ X1 @ ( implies @ X1 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl86,zip_derived_cl516]) ).
thf(zip_derived_cl274_018,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( is_a_theorem @ ( or @ X1 @ X0 ) )
| ( is_a_theorem @ ( or @ ( and @ X0 @ X2 ) @ ( implies @ X2 @ X1 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl271,zip_derived_cl86]) ).
thf(zip_derived_cl586,plain,
! [X0: $i,X1: $i,X2: $i] : ( is_a_theorem @ ( or @ ( and @ ( implies @ X1 @ X0 ) @ X2 ) @ ( implies @ X2 @ X1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl582,zip_derived_cl274]) ).
thf(zip_derived_cl8863,plain,
! [X0: $i,X1: $i,X2: $i] : ( is_a_theorem @ ( implies @ ( implies @ ( implies @ X0 @ X2 ) @ X1 ) @ ( implies @ ( not @ X1 ) @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl137,zip_derived_cl586]) ).
thf(zip_derived_cl122_019,plain,
! [X0: $i,X1: $i] :
( ( implies @ ( not @ X1 ) @ X0 )
= ( or @ X1 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl116,zip_derived_cl86]) ).
thf(zip_derived_cl8877,plain,
! [X0: $i,X1: $i,X2: $i] : ( is_a_theorem @ ( implies @ ( implies @ ( implies @ X0 @ X2 ) @ X1 ) @ ( or @ X1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8863,zip_derived_cl122]) ).
thf(zip_derived_cl86_020,plain,
! [X0: $i,X1: $i] :
( ( implies @ X0 @ X1 )
= ( not @ ( and @ X0 @ ( not @ X1 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl57,zip_derived_cl61]) ).
thf(zip_derived_cl586_021,plain,
! [X0: $i,X1: $i,X2: $i] : ( is_a_theorem @ ( or @ ( and @ ( implies @ X1 @ X0 ) @ X2 ) @ ( implies @ X2 @ X1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl582,zip_derived_cl274]) ).
thf(zip_derived_cl148_022,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ ( or @ X1 @ X0 ) )
| ~ ( is_a_theorem @ ( not @ X1 ) )
| ( is_a_theorem @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl122,zip_derived_cl72]) ).
thf(zip_derived_cl8856,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( is_a_theorem @ ( implies @ X1 @ X0 ) )
| ~ ( is_a_theorem @ ( not @ ( and @ ( implies @ X0 @ X2 ) @ X1 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl586,zip_derived_cl148]) ).
thf(zip_derived_cl9490,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_cl86,zip_derived_cl8856]) ).
thf(zip_derived_cl122_023,plain,
! [X0: $i,X1: $i] :
( ( implies @ ( not @ X1 ) @ X0 )
= ( or @ X1 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl116,zip_derived_cl86]) ).
thf(zip_derived_cl9505,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( is_a_theorem @ ( implies @ ( implies @ X2 @ X1 ) @ X0 ) )
| ( is_a_theorem @ ( or @ X0 @ X2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9490,zip_derived_cl122]) ).
thf(zip_derived_cl24656,plain,
! [X0: $i,X1: $i,X2: $i] : ( is_a_theorem @ ( or @ ( or @ X1 @ X0 ) @ ( implies @ X0 @ X2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl8877,zip_derived_cl9505]) ).
thf(zip_derived_cl24753,plain,
! [X0: $i,X1: $i,X2: $i] : ( is_a_theorem @ ( or @ ( or @ X2 @ ( not @ X1 ) ) @ ( or @ X1 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl122,zip_derived_cl24656]) ).
thf(zip_derived_cl339_024,plain,
! [X0: $i] : ( is_a_theorem @ ( not @ ( and @ ( not @ X0 ) @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl83,zip_derived_cl335]) ).
thf(zip_derived_cl439_025,plain,
! [X0: $i,X1: $i] :
( ( is_a_theorem @ ( implies @ X1 @ ( not @ X0 ) ) )
| ~ ( is_a_theorem @ ( not @ ( and @ X0 @ X1 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl360,zip_derived_cl148]) ).
thf(zip_derived_cl453,plain,
! [X0: $i] : ( is_a_theorem @ ( implies @ X0 @ ( not @ ( not @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl339,zip_derived_cl439]) ).
thf(zip_derived_cl72_026,plain,
! [X0: $i,X1: $i] :
( ( is_a_theorem @ X0 )
| ~ ( is_a_theorem @ ( implies @ X1 @ X0 ) )
| ~ ( is_a_theorem @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl0,zip_derived_cl63]) ).
thf(zip_derived_cl464,plain,
! [X0: $i] :
( ~ ( is_a_theorem @ X0 )
| ( is_a_theorem @ ( not @ ( not @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl453,zip_derived_cl72]) ).
thf(zip_derived_cl86_027,plain,
! [X0: $i,X1: $i] :
( ( implies @ X0 @ X1 )
= ( not @ ( and @ X0 @ ( not @ X1 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl57,zip_derived_cl61]) ).
thf(zip_derived_cl453_028,plain,
! [X0: $i] : ( is_a_theorem @ ( implies @ X0 @ ( not @ ( not @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl339,zip_derived_cl439]) ).
thf(zip_derived_cl335_029,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ ( implies @ ( and @ X1 @ X1 ) @ X0 ) )
| ( is_a_theorem @ ( not @ ( and @ ( not @ X0 ) @ X1 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl86,zip_derived_cl318]) ).
thf(zip_derived_cl467,plain,
! [X0: $i] : ( is_a_theorem @ ( not @ ( and @ ( not @ ( not @ ( not @ ( and @ X0 @ X0 ) ) ) ) @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl453,zip_derived_cl335]) ).
thf(zip_derived_cl7154,plain,
! [X0: $i] : ( is_a_theorem @ ( implies @ ( not @ ( not @ ( not @ ( and @ ( not @ X0 ) @ ( not @ X0 ) ) ) ) ) @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl86,zip_derived_cl467]) ).
thf(zip_derived_cl116_030,plain,
! [X0: $i,X1: $i] :
( ( or @ X0 @ X1 )
= ( not @ ( and @ ( not @ X0 ) @ ( not @ X1 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl55,zip_derived_cl60]) ).
thf(zip_derived_cl122_031,plain,
! [X0: $i,X1: $i] :
( ( implies @ ( not @ X1 ) @ X0 )
= ( or @ X1 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl116,zip_derived_cl86]) ).
thf(zip_derived_cl7184,plain,
! [X0: $i] : ( is_a_theorem @ ( or @ ( not @ ( or @ X0 @ X0 ) ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl7154,zip_derived_cl116,zip_derived_cl122]) ).
thf(zip_derived_cl148_032,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ ( or @ X1 @ X0 ) )
| ~ ( is_a_theorem @ ( not @ X1 ) )
| ( is_a_theorem @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl122,zip_derived_cl72]) ).
thf(zip_derived_cl7205,plain,
! [X0: $i] :
( ( is_a_theorem @ X0 )
| ~ ( is_a_theorem @ ( not @ ( not @ ( or @ X0 @ X0 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl7184,zip_derived_cl148]) ).
thf(zip_derived_cl7521,plain,
! [X0: $i] :
( ~ ( is_a_theorem @ ( or @ X0 @ X0 ) )
| ( is_a_theorem @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl464,zip_derived_cl7205]) ).
thf(zip_derived_cl24810,plain,
! [X0: $i] : ( is_a_theorem @ ( or @ X0 @ ( not @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl24753,zip_derived_cl7521]) ).
thf(zip_derived_cl274_033,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( is_a_theorem @ ( or @ X1 @ X0 ) )
| ( is_a_theorem @ ( or @ ( and @ X0 @ X2 ) @ ( implies @ X2 @ X1 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl271,zip_derived_cl86]) ).
thf(zip_derived_cl24859,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( or @ ( and @ ( not @ X0 ) @ X1 ) @ ( implies @ X1 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl24810,zip_derived_cl274]) ).
thf(zip_derived_cl148_034,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ ( or @ X1 @ X0 ) )
| ~ ( is_a_theorem @ ( not @ X1 ) )
| ( is_a_theorem @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl122,zip_derived_cl72]) ).
thf(zip_derived_cl29533,plain,
! [X0: $i,X1: $i] :
( ( is_a_theorem @ ( implies @ X1 @ X0 ) )
| ~ ( is_a_theorem @ ( not @ ( and @ ( not @ X0 ) @ X1 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl24859,zip_derived_cl148]) ).
thf(zip_derived_cl29801,plain,
! [X0: $i] : ( is_a_theorem @ ( implies @ X0 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl339,zip_derived_cl29533]) ).
thf(zip_derived_cl243_035,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('sup-',[status(thm)],[zip_derived_cl242,zip_derived_cl72]) ).
thf(zip_derived_cl29888,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( or @ ( and @ X0 @ X1 ) @ ( not @ ( and @ X1 @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl29801,zip_derived_cl243]) ).
thf(zip_derived_cl86_036,plain,
! [X0: $i,X1: $i] :
( ( implies @ X0 @ X1 )
= ( not @ ( and @ X0 @ ( not @ X1 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl57,zip_derived_cl61]) ).
thf(zip_derived_cl516_037,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( or @ X0 @ ( not @ ( and @ X0 @ X1 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl83,zip_derived_cl462]) ).
thf(zip_derived_cl274_038,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( is_a_theorem @ ( or @ X1 @ X0 ) )
| ( is_a_theorem @ ( or @ ( and @ X0 @ X2 ) @ ( implies @ X2 @ X1 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl271,zip_derived_cl86]) ).
thf(zip_derived_cl574,plain,
! [X0: $i,X1: $i,X2: $i] : ( is_a_theorem @ ( or @ ( and @ ( not @ ( and @ X1 @ X0 ) ) @ X2 ) @ ( implies @ X2 @ X1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl516,zip_derived_cl274]) ).
thf(zip_derived_cl148_039,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ ( or @ X1 @ X0 ) )
| ~ ( is_a_theorem @ ( not @ X1 ) )
| ( is_a_theorem @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl122,zip_derived_cl72]) ).
thf(zip_derived_cl65648,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( is_a_theorem @ ( implies @ X1 @ X0 ) )
| ~ ( is_a_theorem @ ( not @ ( and @ ( not @ ( and @ X0 @ X2 ) ) @ X1 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl574,zip_derived_cl148]) ).
thf(zip_derived_cl65736,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( is_a_theorem @ ( implies @ ( not @ ( and @ X2 @ X1 ) ) @ X0 ) )
| ( is_a_theorem @ ( implies @ ( not @ X0 ) @ X2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl86,zip_derived_cl65648]) ).
thf(zip_derived_cl122_040,plain,
! [X0: $i,X1: $i] :
( ( implies @ ( not @ X1 ) @ X0 )
= ( or @ X1 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl116,zip_derived_cl86]) ).
thf(zip_derived_cl122_041,plain,
! [X0: $i,X1: $i] :
( ( implies @ ( not @ X1 ) @ X0 )
= ( or @ X1 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl116,zip_derived_cl86]) ).
thf(zip_derived_cl65784,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( is_a_theorem @ ( or @ ( and @ X2 @ X1 ) @ X0 ) )
| ( is_a_theorem @ ( or @ X0 @ X2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl65736,zip_derived_cl122,zip_derived_cl122]) ).
thf(zip_derived_cl65919,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( or @ ( not @ ( and @ X1 @ X0 ) ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl29888,zip_derived_cl65784]) ).
thf(zip_derived_cl116_042,plain,
! [X0: $i,X1: $i] :
( ( or @ X0 @ X1 )
= ( not @ ( and @ ( not @ X0 ) @ ( not @ X1 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl55,zip_derived_cl60]) ).
thf(zip_derived_cl453_043,plain,
! [X0: $i] : ( is_a_theorem @ ( implies @ X0 @ ( not @ ( not @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl339,zip_derived_cl439]) ).
thf(zip_derived_cl243_044,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('sup-',[status(thm)],[zip_derived_cl242,zip_derived_cl72]) ).
thf(zip_derived_cl465,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( or @ ( and @ ( not @ ( not @ X0 ) ) @ X1 ) @ ( not @ ( and @ X1 @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl453,zip_derived_cl243]) ).
thf(zip_derived_cl148_045,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ ( or @ X1 @ X0 ) )
| ~ ( is_a_theorem @ ( not @ X1 ) )
| ( is_a_theorem @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl122,zip_derived_cl72]) ).
thf(zip_derived_cl50657,plain,
! [X0: $i,X1: $i] :
( ( is_a_theorem @ ( not @ ( and @ X1 @ X0 ) ) )
| ~ ( is_a_theorem @ ( not @ ( and @ ( not @ ( not @ X0 ) ) @ X1 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl465,zip_derived_cl148]) ).
thf(zip_derived_cl50770,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ ( or @ ( not @ X1 ) @ X0 ) )
| ( is_a_theorem @ ( not @ ( and @ ( not @ X0 ) @ X1 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl116,zip_derived_cl50657]) ).
thf(zip_derived_cl66222,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( not @ ( and @ ( not @ X0 ) @ ( and @ X1 @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl65919,zip_derived_cl50770]) ).
thf(zip_derived_cl29533_046,plain,
! [X0: $i,X1: $i] :
( ( is_a_theorem @ ( implies @ X1 @ X0 ) )
| ~ ( is_a_theorem @ ( not @ ( and @ ( not @ X0 ) @ X1 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl24859,zip_derived_cl148]) ).
thf(zip_derived_cl66936,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ ( and @ X1 @ X0 ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl66222,zip_derived_cl29533]) ).
thf(zip_derived_cl67003,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ ( equiv @ X1 @ X0 ) @ ( implies @ X0 @ X1 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl163,zip_derived_cl66936]) ).
thf(zip_derived_cl69515,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl114,zip_derived_cl67003]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LCL513+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.QEspyfnFFL true
% 0.14/0.35 % Computer : n002.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri Aug 25 01:22:02 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % 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
% 0.64/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.64/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.78/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.78/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.78/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.78/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.78/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.78/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 86.53/12.95 % Solved by fo/fo5.sh.
% 86.53/12.95 % done 4937 iterations in 12.151s
% 86.53/12.95 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 86.53/12.95 % SZS output start Refutation
% See solution above
% 86.53/12.95
% 86.53/12.95
% 86.53/12.95 % Terminating...
% 86.53/13.03 % Runner terminated.
% 86.53/13.03 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------