TSTP Solution File: LCL516+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL516+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.hwLZWB6F41 true
% Computer : n017.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 09:00:02 EDT 2023
% Result : Theorem 59.03s 9.04s
% Output : Refutation 59.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 28
% Syntax : Number of formulae : 142 ( 80 unt; 14 typ; 0 def)
% Number of atoms : 191 ( 29 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 906 ( 58 ~; 54 |; 1 &; 785 @)
% ( 5 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 14 usr; 10 con; 0-2 aty)
% Number of variables : 225 ( 0 ^; 225 !; 0 ?; 225 :)
% Comments :
%------------------------------------------------------------------------------
thf(cn2_type,type,
cn2: $o ).
thf(sk__42_type,type,
sk__42: $i ).
thf(op_or_type,type,
op_or: $o ).
thf(and_type,type,
and: $i > $i > $i ).
thf(is_a_theorem_type,type,
is_a_theorem: $i > $o ).
thf(sk__41_type,type,
sk__41: $i ).
thf(op_implies_and_type,type,
op_implies_and: $o ).
thf(or_type,type,
or: $i > $i > $i ).
thf(kn2_type,type,
kn2: $o ).
thf(kn1_type,type,
kn1: $o ).
thf(modus_ponens_type,type,
modus_ponens: $o ).
thf(implies_type,type,
implies: $i > $i > $i ).
thf(kn3_type,type,
kn3: $o ).
thf(not_type,type,
not: $i > $i ).
thf(cn2,axiom,
( cn2
<=> ! [P: $i,Q: $i] : ( is_a_theorem @ ( implies @ P @ ( implies @ ( not @ P ) @ Q ) ) ) ) ).
thf(zip_derived_cl42,plain,
( cn2
| ~ ( is_a_theorem @ ( implies @ sk__41 @ ( implies @ ( not @ sk__41 ) @ sk__42 ) ) ) ),
inference(cnf,[status(esa)],[cn2]) ).
thf(luka_cn2,conjecture,
cn2 ).
thf(zf_stmt_0,negated_conjecture,
~ cn2,
inference('cnf.neg',[status(esa)],[luka_cn2]) ).
thf(zip_derived_cl71,plain,
~ cn2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl81,plain,
~ ( is_a_theorem @ ( implies @ sk__41 @ ( implies @ ( not @ sk__41 ) @ sk__42 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl42,zip_derived_cl71]) ).
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_cl104,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(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_cl88,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_cl109,plain,
! [X0: $i,X1: $i] :
( ( implies @ ( not @ X1 ) @ X0 )
= ( or @ X1 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl104,zip_derived_cl88]) ).
thf(zip_derived_cl129,plain,
~ ( is_a_theorem @ ( implies @ sk__41 @ ( or @ sk__41 @ sk__42 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl81,zip_derived_cl109]) ).
thf(zip_derived_cl104_001,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(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_cl84,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_cl88_002,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_cl82,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(zip_derived_cl109_003,plain,
! [X0: $i,X1: $i] :
( ( implies @ ( not @ X1 ) @ X0 )
= ( or @ X1 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl104,zip_derived_cl88]) ).
thf(rosser_kn3,axiom,
kn3 ).
thf(zip_derived_cl66,plain,
kn3,
inference(cnf,[status(esa)],[rosser_kn3]) ).
thf(zip_derived_cl215,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_cl109,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_cl216,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_cl215,zip_derived_cl72]) ).
thf(zip_derived_cl254,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( or @ ( and @ ( and @ X0 @ X0 ) @ X1 ) @ ( not @ ( and @ X1 @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl216]) ).
thf(zip_derived_cl109_004,plain,
! [X0: $i,X1: $i] :
( ( implies @ ( not @ X1 ) @ X0 )
= ( or @ X1 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl104,zip_derived_cl88]) ).
thf(zip_derived_cl72_005,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_cl130,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_cl109,zip_derived_cl72]) ).
thf(zip_derived_cl305,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_cl254,zip_derived_cl130]) ).
thf(zip_derived_cl320,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_cl88,zip_derived_cl305]) ).
thf(zip_derived_cl410,plain,
! [X0: $i] : ( is_a_theorem @ ( not @ ( and @ ( not @ X0 ) @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl84,zip_derived_cl320]) ).
thf(zip_derived_cl84_006,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_cl216_007,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_cl215,zip_derived_cl72]) ).
thf(zip_derived_cl259,plain,
! [X0: $i,X1: $i,X2: $i] : ( is_a_theorem @ ( or @ ( and @ X0 @ X2 ) @ ( not @ ( and @ X2 @ ( and @ X0 @ X1 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl84,zip_derived_cl216]) ).
thf(zip_derived_cl130_008,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_cl109,zip_derived_cl72]) ).
thf(zip_derived_cl17054,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( is_a_theorem @ ( not @ ( and @ X2 @ ( and @ X1 @ X0 ) ) ) )
| ~ ( is_a_theorem @ ( not @ ( and @ X1 @ X2 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl259,zip_derived_cl130]) ).
thf(zip_derived_cl19075,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( not @ ( and @ X0 @ ( and @ ( not @ X0 ) @ X1 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl410,zip_derived_cl17054]) ).
thf(zip_derived_cl410_009,plain,
! [X0: $i] : ( is_a_theorem @ ( not @ ( and @ ( not @ X0 ) @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl84,zip_derived_cl320]) ).
thf(zip_derived_cl109_010,plain,
! [X0: $i,X1: $i] :
( ( implies @ ( not @ X1 ) @ X0 )
= ( or @ X1 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl104,zip_derived_cl88]) ).
thf(zip_derived_cl88_011,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_cl104_012,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_cl118,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_cl88,zip_derived_cl104]) ).
thf(zip_derived_cl88_013,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_cl121,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( or @ ( and @ X1 @ ( not @ X0 ) ) @ X2 )
= ( implies @ ( implies @ X1 @ X0 ) @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl118,zip_derived_cl88]) ).
thf(zip_derived_cl88_014,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_cl84_015,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_cl121_016,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( or @ ( and @ X1 @ ( not @ X0 ) ) @ X2 )
= ( implies @ ( implies @ X1 @ X0 ) @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl118,zip_derived_cl88]) ).
thf(zip_derived_cl104_017,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_cl410_018,plain,
! [X0: $i] : ( is_a_theorem @ ( not @ ( and @ ( not @ X0 ) @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl84,zip_derived_cl320]) ).
thf(zip_derived_cl420,plain,
! [X0: $i] : ( is_a_theorem @ ( or @ ( not @ X0 ) @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl104,zip_derived_cl410]) ).
thf(zip_derived_cl109_019,plain,
! [X0: $i,X1: $i] :
( ( implies @ ( not @ X1 ) @ X0 )
= ( or @ X1 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl104,zip_derived_cl88]) ).
thf(zip_derived_cl216_020,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_cl215,zip_derived_cl72]) ).
thf(zip_derived_cl260,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_cl109,zip_derived_cl216]) ).
thf(zip_derived_cl88_021,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_cl263,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_cl260,zip_derived_cl88]) ).
thf(zip_derived_cl433,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( or @ ( and @ X0 @ X1 ) @ ( implies @ X1 @ ( not @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl420,zip_derived_cl263]) ).
thf(zip_derived_cl484,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ ( implies @ X0 @ X1 ) @ ( implies @ ( not @ X1 ) @ ( not @ X0 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl121,zip_derived_cl433]) ).
thf(zip_derived_cl109_022,plain,
! [X0: $i,X1: $i] :
( ( implies @ ( not @ X1 ) @ X0 )
= ( or @ X1 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl104,zip_derived_cl88]) ).
thf(zip_derived_cl494,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ ( implies @ X0 @ X1 ) @ ( or @ X1 @ ( not @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl484,zip_derived_cl109]) ).
thf(zip_derived_cl72_023,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_cl497,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ ( implies @ X0 @ X1 ) )
| ( is_a_theorem @ ( or @ X1 @ ( not @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl494,zip_derived_cl72]) ).
thf(zip_derived_cl576,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( or @ X0 @ ( not @ ( and @ X0 @ X1 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl84,zip_derived_cl497]) ).
thf(zip_derived_cl684,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( or @ X1 @ ( implies @ X1 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl88,zip_derived_cl576]) ).
thf(zip_derived_cl263_024,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_cl260,zip_derived_cl88]) ).
thf(zip_derived_cl688,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_cl684,zip_derived_cl263]) ).
thf(zip_derived_cl7852,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_cl121,zip_derived_cl688]) ).
thf(zip_derived_cl109_025,plain,
! [X0: $i,X1: $i] :
( ( implies @ ( not @ X1 ) @ X0 )
= ( or @ X1 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl104,zip_derived_cl88]) ).
thf(zip_derived_cl7872,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_cl7852,zip_derived_cl109]) ).
thf(zip_derived_cl88_026,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_cl688_027,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_cl684,zip_derived_cl263]) ).
thf(zip_derived_cl130_028,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_cl109,zip_derived_cl72]) ).
thf(zip_derived_cl7846,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_cl688,zip_derived_cl130]) ).
thf(zip_derived_cl7883,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_cl88,zip_derived_cl7846]) ).
thf(zip_derived_cl109_029,plain,
! [X0: $i,X1: $i] :
( ( implies @ ( not @ X1 ) @ X0 )
= ( or @ X1 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl104,zip_derived_cl88]) ).
thf(zip_derived_cl7899,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_cl7883,zip_derived_cl109]) ).
thf(zip_derived_cl23773,plain,
! [X0: $i,X1: $i,X2: $i] : ( is_a_theorem @ ( or @ ( or @ X1 @ X0 ) @ ( implies @ X0 @ X2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl7872,zip_derived_cl7899]) ).
thf(zip_derived_cl23835,plain,
! [X0: $i,X1: $i,X2: $i] : ( is_a_theorem @ ( or @ ( or @ X2 @ ( not @ X1 ) ) @ ( or @ X1 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl109,zip_derived_cl23773]) ).
thf(zip_derived_cl410_030,plain,
! [X0: $i] : ( is_a_theorem @ ( not @ ( and @ ( not @ X0 ) @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl84,zip_derived_cl320]) ).
thf(zip_derived_cl433_031,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( or @ ( and @ X0 @ X1 ) @ ( implies @ X1 @ ( not @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl420,zip_derived_cl263]) ).
thf(zip_derived_cl130_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_cl109,zip_derived_cl72]) ).
thf(zip_derived_cl482,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_cl433,zip_derived_cl130]) ).
thf(zip_derived_cl582,plain,
! [X0: $i] : ( is_a_theorem @ ( implies @ X0 @ ( not @ ( not @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl410,zip_derived_cl482]) ).
thf(zip_derived_cl72_033,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_cl593,plain,
! [X0: $i] :
( ~ ( is_a_theorem @ X0 )
| ( is_a_theorem @ ( not @ ( not @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl582,zip_derived_cl72]) ).
thf(zip_derived_cl88_034,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_cl582_035,plain,
! [X0: $i] : ( is_a_theorem @ ( implies @ X0 @ ( not @ ( not @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl410,zip_derived_cl482]) ).
thf(zip_derived_cl320_036,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_cl88,zip_derived_cl305]) ).
thf(zip_derived_cl597,plain,
! [X0: $i] : ( is_a_theorem @ ( not @ ( and @ ( not @ ( not @ ( not @ ( and @ X0 @ X0 ) ) ) ) @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl582,zip_derived_cl320]) ).
thf(zip_derived_cl7250,plain,
! [X0: $i] : ( is_a_theorem @ ( implies @ ( not @ ( not @ ( not @ ( and @ ( not @ X0 ) @ ( not @ X0 ) ) ) ) ) @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl88,zip_derived_cl597]) ).
thf(zip_derived_cl104_037,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_cl109_038,plain,
! [X0: $i,X1: $i] :
( ( implies @ ( not @ X1 ) @ X0 )
= ( or @ X1 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl104,zip_derived_cl88]) ).
thf(zip_derived_cl7273,plain,
! [X0: $i] : ( is_a_theorem @ ( or @ ( not @ ( or @ X0 @ X0 ) ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl7250,zip_derived_cl104,zip_derived_cl109]) ).
thf(zip_derived_cl130_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_cl109,zip_derived_cl72]) ).
thf(zip_derived_cl7290,plain,
! [X0: $i] :
( ( is_a_theorem @ X0 )
| ~ ( is_a_theorem @ ( not @ ( not @ ( or @ X0 @ X0 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl7273,zip_derived_cl130]) ).
thf(zip_derived_cl7304,plain,
! [X0: $i] :
( ~ ( is_a_theorem @ ( or @ X0 @ X0 ) )
| ( is_a_theorem @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl593,zip_derived_cl7290]) ).
thf(zip_derived_cl24164,plain,
! [X0: $i] : ( is_a_theorem @ ( or @ X0 @ ( not @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl23835,zip_derived_cl7304]) ).
thf(zip_derived_cl263_040,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_cl260,zip_derived_cl88]) ).
thf(zip_derived_cl24228,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( or @ ( and @ ( not @ X0 ) @ X1 ) @ ( implies @ X1 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl24164,zip_derived_cl263]) ).
thf(zip_derived_cl130_041,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_cl109,zip_derived_cl72]) ).
thf(zip_derived_cl30181,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_cl24228,zip_derived_cl130]) ).
thf(zip_derived_cl30252,plain,
! [X0: $i] : ( is_a_theorem @ ( implies @ X0 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl410,zip_derived_cl30181]) ).
thf(zip_derived_cl216_042,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_cl215,zip_derived_cl72]) ).
thf(zip_derived_cl30325,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( or @ ( and @ X0 @ X1 ) @ ( not @ ( and @ X1 @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl30252,zip_derived_cl216]) ).
thf(zip_derived_cl130_043,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_cl109,zip_derived_cl72]) ).
thf(zip_derived_cl47027,plain,
! [X0: $i,X1: $i] :
( ( is_a_theorem @ ( not @ ( and @ X1 @ X0 ) ) )
| ~ ( is_a_theorem @ ( not @ ( and @ X0 @ X1 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl30325,zip_derived_cl130]) ).
thf(zip_derived_cl47658,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( not @ ( and @ ( and @ ( not @ X1 ) @ X0 ) @ X1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl19075,zip_derived_cl47027]) ).
thf(zip_derived_cl482_044,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_cl433,zip_derived_cl130]) ).
thf(zip_derived_cl48000,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ X0 @ ( not @ ( and @ ( not @ X0 ) @ X1 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl47658,zip_derived_cl482]) ).
thf(zip_derived_cl49023,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ X1 @ ( or @ X1 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl104,zip_derived_cl48000]) ).
thf(zip_derived_cl49056,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl129,zip_derived_cl49023]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : LCL516+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.hwLZWB6F41 true
% 0.15/0.36 % Computer : n017.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri Aug 25 01:17:40 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % Running portfolio for 300 s
% 0.15/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.36 % Number of cores: 8
% 0.15/0.36 % Python version: Python 3.6.8
% 0.15/0.36 % Running in FO mode
% 0.22/0.67 % Total configuration time : 435
% 0.22/0.67 % Estimated wc time : 1092
% 0.22/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.73 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 1.22/0.81 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 1.22/0.81 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.22/0.81 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.22/0.81 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.22/0.82 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.22/0.82 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.44/0.87 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 59.03/9.04 % Solved by fo/fo5.sh.
% 59.03/9.04 % done 3321 iterations in 8.194s
% 59.03/9.04 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 59.03/9.04 % SZS output start Refutation
% See solution above
% 59.03/9.04
% 59.03/9.04
% 59.03/9.04 % Terminating...
% 59.03/9.11 % Runner terminated.
% 59.03/9.13 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------