TSTP Solution File: LCL498+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL498+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.CpktS9kPBr true
% Computer : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 08:59:58 EDT 2023
% Result : Theorem 20.92s 3.70s
% Output : Refutation 20.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 40
% Syntax : Number of formulae : 170 ( 88 unt; 18 typ; 0 def)
% Number of atoms : 235 ( 38 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 963 ( 72 ~; 69 |; 1 &; 808 @)
% ( 7 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 10 ( 10 >; 0 *; 0 +; 0 <<)
% Number of symbols : 20 ( 18 usr; 13 con; 0-2 aty)
% Number of variables : 246 ( 0 ^; 246 !; 0 ?; 246 :)
% 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(op_equiv_type,type,
op_equiv: $o ).
thf(r1_type,type,
r1: $o ).
thf(sk__43_type,type,
sk__43: $i ).
thf(or_type,type,
or: $i > $i > $i ).
thf(cn3_type,type,
cn3: $o ).
thf(op_implies_or_type,type,
op_implies_or: $o ).
thf(r3_type,type,
r3: $o ).
thf(equiv_type,type,
equiv: $i > $i > $i ).
thf(modus_ponens_type,type,
modus_ponens: $o ).
thf(r4_type,type,
r4: $o ).
thf(implies_type,type,
implies: $i > $i > $i ).
thf(substitution_of_equivalents_type,type,
substitution_of_equivalents: $o ).
thf(not_type,type,
not: $i > $i ).
thf(cn3,axiom,
( cn3
<=> ! [P: $i] : ( is_a_theorem @ ( implies @ ( implies @ ( not @ P ) @ P ) @ P ) ) ) ).
thf(zip_derived_cl44,plain,
( cn3
| ~ ( is_a_theorem @ ( implies @ ( implies @ ( not @ sk__43 ) @ sk__43 ) @ sk__43 ) ) ),
inference(cnf,[status(esa)],[cn3]) ).
thf(luka_cn3,conjecture,
cn3 ).
thf(zf_stmt_0,negated_conjecture,
~ cn3,
inference('cnf.neg',[status(esa)],[luka_cn3]) ).
thf(zip_derived_cl73,plain,
~ cn3,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl83,plain,
~ ( is_a_theorem @ ( implies @ ( implies @ ( not @ sk__43 ) @ sk__43 ) @ sk__43 ) ),
inference(demod,[status(thm)],[zip_derived_cl44,zip_derived_cl73]) ).
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(principia_op_implies_or,axiom,
op_implies_or ).
thf(zip_derived_cl60,plain,
op_implies_or,
inference(cnf,[status(esa)],[principia_op_implies_or]) ).
thf(zip_derived_cl89,plain,
! [X0: $i,X1: $i] :
( ( implies @ X0 @ X1 )
= ( or @ ( not @ X0 ) @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl58,zip_derived_cl60]) ).
thf(r2,axiom,
( r2
<=> ! [P: $i,Q: $i] : ( is_a_theorem @ ( implies @ Q @ ( or @ P @ Q ) ) ) ) ).
thf(zip_derived_cl47,plain,
! [X0: $i,X1: $i] :
( ( is_a_theorem @ ( implies @ X0 @ ( or @ X1 @ X0 ) ) )
| ~ r2 ),
inference(cnf,[status(esa)],[r2]) ).
thf(principia_r2,axiom,
r2 ).
thf(zip_derived_cl65,plain,
r2,
inference(cnf,[status(esa)],[principia_r2]) ).
thf(zip_derived_cl86,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ X0 @ ( or @ X1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl47,zip_derived_cl65]) ).
thf(zip_derived_cl89_001,plain,
! [X0: $i,X1: $i] :
( ( implies @ X0 @ X1 )
= ( or @ ( not @ X0 ) @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl58,zip_derived_cl60]) ).
thf(r3,axiom,
( r3
<=> ! [P: $i,Q: $i] : ( is_a_theorem @ ( implies @ ( or @ P @ Q ) @ ( or @ Q @ P ) ) ) ) ).
thf(zip_derived_cl49,plain,
! [X0: $i,X1: $i] :
( ( is_a_theorem @ ( implies @ ( or @ X0 @ X1 ) @ ( or @ X1 @ X0 ) ) )
| ~ r3 ),
inference(cnf,[status(esa)],[r3]) ).
thf(principia_r3,axiom,
r3 ).
thf(zip_derived_cl66,plain,
r3,
inference(cnf,[status(esa)],[principia_r3]) ).
thf(zip_derived_cl116,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ ( or @ X0 @ X1 ) @ ( or @ X1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl49,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(principia_modus_ponens,axiom,
modus_ponens ).
thf(zip_derived_cl63,plain,
modus_ponens,
inference(cnf,[status(esa)],[principia_modus_ponens]) ).
thf(zip_derived_cl74,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_cl117,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ ( or @ X0 @ X1 ) )
| ( is_a_theorem @ ( or @ X1 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl116,zip_derived_cl74]) ).
thf(zip_derived_cl197,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ ( implies @ X1 @ X0 ) )
| ( is_a_theorem @ ( or @ X0 @ ( not @ X1 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl89,zip_derived_cl117]) ).
thf(zip_derived_cl242,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( or @ ( or @ X1 @ X0 ) @ ( not @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl86,zip_derived_cl197]) ).
thf(zip_derived_cl86_002,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ X0 @ ( or @ X1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl47,zip_derived_cl65]) ).
thf(zip_derived_cl74_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_cl88,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ X0 )
| ( is_a_theorem @ ( or @ X1 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl86,zip_derived_cl74]) ).
thf(r4,axiom,
( r4
<=> ! [P: $i,Q: $i,R: $i] : ( is_a_theorem @ ( implies @ ( or @ P @ ( or @ Q @ R ) ) @ ( or @ Q @ ( or @ P @ R ) ) ) ) ) ).
thf(zip_derived_cl51,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( is_a_theorem @ ( implies @ ( or @ X0 @ ( or @ X1 @ X2 ) ) @ ( or @ X1 @ ( or @ X0 @ X2 ) ) ) )
| ~ r4 ),
inference(cnf,[status(esa)],[r4]) ).
thf(principia_r4,axiom,
r4 ).
thf(zip_derived_cl67,plain,
r4,
inference(cnf,[status(esa)],[principia_r4]) ).
thf(zip_derived_cl157,plain,
! [X0: $i,X1: $i,X2: $i] : ( is_a_theorem @ ( implies @ ( or @ X0 @ ( or @ X1 @ X2 ) ) @ ( or @ X1 @ ( or @ X0 @ X2 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl51,zip_derived_cl67]) ).
thf(zip_derived_cl74_004,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_cl158,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( is_a_theorem @ ( or @ X1 @ ( or @ X2 @ X0 ) ) )
| ( is_a_theorem @ ( or @ X2 @ ( or @ X1 @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl157,zip_derived_cl74]) ).
thf(zip_derived_cl431,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( is_a_theorem @ ( or @ X1 @ X0 ) )
| ( is_a_theorem @ ( or @ X1 @ ( or @ X2 @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl88,zip_derived_cl158]) ).
thf(zip_derived_cl448,plain,
! [X0: $i,X1: $i,X2: $i] : ( is_a_theorem @ ( or @ ( or @ X1 @ X0 ) @ ( or @ X2 @ ( not @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl242,zip_derived_cl431]) ).
thf(zip_derived_cl117_005,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ ( or @ X0 @ X1 ) )
| ( is_a_theorem @ ( or @ X1 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl116,zip_derived_cl74]) ).
thf(zip_derived_cl980,plain,
! [X0: $i,X1: $i,X2: $i] : ( is_a_theorem @ ( or @ ( or @ X1 @ ( not @ X0 ) ) @ ( or @ X2 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl448,zip_derived_cl117]) ).
thf(zip_derived_cl158_006,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( is_a_theorem @ ( or @ X1 @ ( or @ X2 @ X0 ) ) )
| ( is_a_theorem @ ( or @ X2 @ ( or @ X1 @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl157,zip_derived_cl74]) ).
thf(zip_derived_cl2197,plain,
! [X0: $i,X1: $i,X2: $i] : ( is_a_theorem @ ( or @ X1 @ ( or @ ( or @ X2 @ ( not @ X0 ) ) @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl980,zip_derived_cl158]) ).
thf(r1,axiom,
( r1
<=> ! [P: $i] : ( is_a_theorem @ ( implies @ ( or @ P @ P ) @ P ) ) ) ).
thf(zip_derived_cl45,plain,
! [X0: $i] :
( ( is_a_theorem @ ( implies @ ( or @ X0 @ X0 ) @ X0 ) )
| ~ r1 ),
inference(cnf,[status(esa)],[r1]) ).
thf(principia_r1,axiom,
r1 ).
thf(zip_derived_cl64,plain,
r1,
inference(cnf,[status(esa)],[principia_r1]) ).
thf(zip_derived_cl84,plain,
! [X0: $i] : ( is_a_theorem @ ( implies @ ( or @ X0 @ X0 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl45,zip_derived_cl64]) ).
thf(zip_derived_cl74_007,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_cl85,plain,
! [X0: $i] :
( ~ ( is_a_theorem @ ( or @ X0 @ X0 ) )
| ( is_a_theorem @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl84,zip_derived_cl74]) ).
thf(zip_derived_cl3793,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( or @ ( or @ X1 @ ( not @ X0 ) ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl2197,zip_derived_cl85]) ).
thf(zip_derived_cl117_008,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ ( or @ X0 @ X1 ) )
| ( is_a_theorem @ ( or @ X1 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl116,zip_derived_cl74]) ).
thf(zip_derived_cl3820,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( or @ X0 @ ( or @ X1 @ ( not @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl3793,zip_derived_cl117]) ).
thf(zip_derived_cl158_009,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( is_a_theorem @ ( or @ X1 @ ( or @ X2 @ X0 ) ) )
| ( is_a_theorem @ ( or @ X2 @ ( or @ X1 @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl157,zip_derived_cl74]) ).
thf(zip_derived_cl3838,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( or @ X1 @ ( or @ X0 @ ( not @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl3820,zip_derived_cl158]) ).
thf(zip_derived_cl85_010,plain,
! [X0: $i] :
( ~ ( is_a_theorem @ ( or @ X0 @ X0 ) )
| ( is_a_theorem @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl84,zip_derived_cl74]) ).
thf(zip_derived_cl3963,plain,
! [X0: $i] : ( is_a_theorem @ ( or @ X0 @ ( not @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl3838,zip_derived_cl85]) ).
thf(zip_derived_cl3993,plain,
! [X0: $i] : ( is_a_theorem @ ( implies @ X0 @ ( not @ ( not @ X0 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl89,zip_derived_cl3963]) ).
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(principia_op_equiv,axiom,
op_equiv ).
thf(zip_derived_cl62,plain,
op_equiv,
inference(cnf,[status(esa)],[principia_op_equiv]) ).
thf(zip_derived_cl138,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(zip_derived_cl89_011,plain,
! [X0: $i,X1: $i] :
( ( implies @ X0 @ X1 )
= ( or @ ( not @ X0 ) @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl58,zip_derived_cl60]) ).
thf(zip_derived_cl3963_012,plain,
! [X0: $i] : ( is_a_theorem @ ( or @ X0 @ ( not @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl3838,zip_derived_cl85]) ).
thf(zip_derived_cl89_013,plain,
! [X0: $i,X1: $i] :
( ( implies @ X0 @ X1 )
= ( or @ ( not @ X0 ) @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl58,zip_derived_cl60]) ).
thf(zip_derived_cl116_014,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ ( or @ X0 @ X1 ) @ ( or @ X1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl49,zip_derived_cl66]) ).
thf(zip_derived_cl118,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ ( or @ X0 @ ( not @ X1 ) ) @ ( implies @ X1 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl89,zip_derived_cl116]) ).
thf(zip_derived_cl74_015,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_cl217,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ ( or @ X0 @ ( not @ X1 ) ) )
| ( is_a_theorem @ ( implies @ X1 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl118,zip_derived_cl74]) ).
thf(zip_derived_cl3989,plain,
! [X0: $i] : ( is_a_theorem @ ( implies @ X0 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl3963,zip_derived_cl217]) ).
thf(zip_derived_cl89_016,plain,
! [X0: $i,X1: $i] :
( ( implies @ X0 @ X1 )
= ( or @ ( not @ X0 ) @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl58,zip_derived_cl60]) ).
thf(zip_derived_cl158_017,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( is_a_theorem @ ( or @ X1 @ ( or @ X2 @ X0 ) ) )
| ( is_a_theorem @ ( or @ X2 @ ( or @ X1 @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl157,zip_derived_cl74]) ).
thf(zip_derived_cl433,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( is_a_theorem @ ( implies @ X2 @ ( or @ X1 @ X0 ) ) )
| ( is_a_theorem @ ( or @ X1 @ ( or @ ( not @ X2 ) @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl89,zip_derived_cl158]) ).
thf(zip_derived_cl89_018,plain,
! [X0: $i,X1: $i] :
( ( implies @ X0 @ X1 )
= ( or @ ( not @ X0 ) @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl58,zip_derived_cl60]) ).
thf(zip_derived_cl438,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( is_a_theorem @ ( implies @ X2 @ ( or @ X1 @ X0 ) ) )
| ( is_a_theorem @ ( or @ X1 @ ( implies @ X2 @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl433,zip_derived_cl89]) ).
thf(zip_derived_cl13113,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( or @ X1 @ ( implies @ ( or @ X1 @ X0 ) @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl3989,zip_derived_cl438]) ).
thf(zip_derived_cl13431,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ X1 @ ( implies @ ( or @ ( not @ X1 ) @ X0 ) @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl89,zip_derived_cl13113]) ).
thf(zip_derived_cl89_019,plain,
! [X0: $i,X1: $i] :
( ( implies @ X0 @ X1 )
= ( or @ ( not @ X0 ) @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl58,zip_derived_cl60]) ).
thf(zip_derived_cl13444,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ X1 @ ( implies @ ( implies @ X1 @ X0 ) @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13431,zip_derived_cl89]) ).
thf(zip_derived_cl74_020,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_cl14613,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ X1 )
| ( is_a_theorem @ ( implies @ ( implies @ X1 @ X0 ) @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl13444,zip_derived_cl74]) ).
thf(zip_derived_cl89_021,plain,
! [X0: $i,X1: $i] :
( ( implies @ X0 @ X1 )
= ( or @ ( not @ X0 ) @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl58,zip_derived_cl60]) ).
thf(zip_derived_cl217_022,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ ( or @ X0 @ ( not @ X1 ) ) )
| ( is_a_theorem @ ( implies @ X1 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl118,zip_derived_cl74]) ).
thf(zip_derived_cl235,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ ( implies @ X1 @ ( not @ X0 ) ) )
| ( is_a_theorem @ ( implies @ X0 @ ( not @ X1 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl89,zip_derived_cl217]) ).
thf(zip_derived_cl14774,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ X1 )
| ( is_a_theorem @ ( implies @ X0 @ ( not @ ( implies @ X1 @ ( not @ X0 ) ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl14613,zip_derived_cl235]) ).
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_cl89_023,plain,
! [X0: $i,X1: $i] :
( ( implies @ X0 @ X1 )
= ( or @ ( not @ X0 ) @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl58,zip_derived_cl60]) ).
thf(principia_op_and,axiom,
op_and ).
thf(zip_derived_cl61,plain,
op_and,
inference(cnf,[status(esa)],[principia_op_and]) ).
thf(zip_derived_cl128,plain,
! [X0: $i,X1: $i] :
( ( and @ X0 @ X1 )
= ( not @ ( implies @ X0 @ ( not @ X1 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl56,zip_derived_cl89,zip_derived_cl61]) ).
thf(zip_derived_cl14785,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ X1 )
| ( is_a_theorem @ ( implies @ X0 @ ( and @ X1 @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14774,zip_derived_cl128]) ).
thf(zip_derived_cl74_024,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_cl14787,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ X1 )
| ~ ( is_a_theorem @ X0 )
| ( is_a_theorem @ ( and @ X1 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl14785,zip_derived_cl74]) ).
thf(zip_derived_cl15058,plain,
! [X0: $i,X1: $i] :
( ( is_a_theorem @ ( equiv @ X1 @ X0 ) )
| ~ ( is_a_theorem @ ( implies @ X0 @ X1 ) )
| ~ ( is_a_theorem @ ( implies @ X1 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl138,zip_derived_cl14787]) ).
thf(zip_derived_cl17192,plain,
! [X0: $i] :
( ~ ( is_a_theorem @ ( implies @ ( not @ ( not @ X0 ) ) @ X0 ) )
| ( is_a_theorem @ ( equiv @ ( not @ ( not @ X0 ) ) @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl3993,zip_derived_cl15058]) ).
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(luka_op_or,axiom,
op_or ).
thf(zip_derived_cl70,plain,
op_or,
inference(cnf,[status(esa)],[luka_op_or]) ).
thf(zip_derived_cl120,plain,
! [X0: $i,X1: $i] :
( ( or @ X0 @ X1 )
= ( not @ ( and @ ( not @ X0 ) @ ( not @ X1 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl55,zip_derived_cl70]) ).
thf(zip_derived_cl89_025,plain,
! [X0: $i,X1: $i] :
( ( implies @ X0 @ X1 )
= ( or @ ( not @ X0 ) @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl58,zip_derived_cl60]) ).
thf(zip_derived_cl3820_026,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( or @ X0 @ ( or @ X1 @ ( not @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl3793,zip_derived_cl117]) ).
thf(zip_derived_cl3845,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( or @ X0 @ ( implies @ X1 @ ( not @ X0 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl89,zip_derived_cl3820]) ).
thf(zip_derived_cl120_027,plain,
! [X0: $i,X1: $i] :
( ( or @ X0 @ X1 )
= ( not @ ( and @ ( not @ X0 ) @ ( not @ X1 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl55,zip_derived_cl70]) ).
thf(zip_derived_cl128_028,plain,
! [X0: $i,X1: $i] :
( ( and @ X0 @ X1 )
= ( not @ ( implies @ X0 @ ( not @ X1 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl56,zip_derived_cl89,zip_derived_cl61]) ).
thf(zip_derived_cl3793_029,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( or @ ( or @ X1 @ ( not @ X0 ) ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl2197,zip_derived_cl85]) ).
thf(zip_derived_cl89_030,plain,
! [X0: $i,X1: $i] :
( ( implies @ X0 @ X1 )
= ( or @ ( not @ X0 ) @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl58,zip_derived_cl60]) ).
thf(zip_derived_cl84_031,plain,
! [X0: $i] : ( is_a_theorem @ ( implies @ ( or @ X0 @ X0 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl45,zip_derived_cl64]) ).
thf(zip_derived_cl91,plain,
! [X0: $i] : ( is_a_theorem @ ( implies @ ( implies @ X0 @ ( not @ X0 ) ) @ ( not @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl89,zip_derived_cl84]) ).
thf(zip_derived_cl128_032,plain,
! [X0: $i,X1: $i] :
( ( and @ X0 @ X1 )
= ( not @ ( implies @ X0 @ ( not @ X1 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl56,zip_derived_cl89,zip_derived_cl61]) ).
thf(zip_derived_cl89_033,plain,
! [X0: $i,X1: $i] :
( ( implies @ X0 @ X1 )
= ( or @ ( not @ X0 ) @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl58,zip_derived_cl60]) ).
thf(zip_derived_cl129,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( implies @ ( implies @ X1 @ ( not @ X0 ) ) @ X2 )
= ( or @ ( and @ X1 @ X0 ) @ X2 ) ),
inference('sup+',[status(thm)],[zip_derived_cl128,zip_derived_cl89]) ).
thf(zip_derived_cl175,plain,
! [X0: $i] : ( is_a_theorem @ ( or @ ( and @ X0 @ X0 ) @ ( not @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl91,zip_derived_cl129]) ).
thf(zip_derived_cl117_034,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ ( or @ X0 @ X1 ) )
| ( is_a_theorem @ ( or @ X1 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl116,zip_derived_cl74]) ).
thf(zip_derived_cl196,plain,
! [X0: $i] : ( is_a_theorem @ ( or @ ( not @ X0 ) @ ( and @ X0 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl175,zip_derived_cl117]) ).
thf(zip_derived_cl89_035,plain,
! [X0: $i,X1: $i] :
( ( implies @ X0 @ X1 )
= ( or @ ( not @ X0 ) @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl58,zip_derived_cl60]) ).
thf(zip_derived_cl199,plain,
! [X0: $i] : ( is_a_theorem @ ( implies @ X0 @ ( and @ X0 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl196,zip_derived_cl89]) ).
thf(zip_derived_cl74_036,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_cl213,plain,
! [X0: $i] :
( ~ ( is_a_theorem @ X0 )
| ( is_a_theorem @ ( and @ X0 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl199,zip_derived_cl74]) ).
thf(zip_derived_cl120_037,plain,
! [X0: $i,X1: $i] :
( ( or @ X0 @ X1 )
= ( not @ ( and @ ( not @ X0 ) @ ( not @ X1 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl55,zip_derived_cl70]) ).
thf(zip_derived_cl89_038,plain,
! [X0: $i,X1: $i] :
( ( implies @ X0 @ X1 )
= ( or @ ( not @ X0 ) @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl58,zip_derived_cl60]) ).
thf(zip_derived_cl121,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( implies @ ( and @ ( not @ X1 ) @ ( not @ X0 ) ) @ X2 )
= ( or @ ( or @ X1 @ X0 ) @ X2 ) ),
inference('sup+',[status(thm)],[zip_derived_cl120,zip_derived_cl89]) ).
thf(zip_derived_cl74_039,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_cl313,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( is_a_theorem @ ( or @ ( or @ X2 @ X1 ) @ X0 ) )
| ~ ( is_a_theorem @ ( and @ ( not @ X2 ) @ ( not @ X1 ) ) )
| ( is_a_theorem @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl121,zip_derived_cl74]) ).
thf(zip_derived_cl468,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ ( not @ X0 ) )
| ( is_a_theorem @ X1 )
| ~ ( is_a_theorem @ ( or @ ( or @ X0 @ X0 ) @ X1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl213,zip_derived_cl313]) ).
thf(zip_derived_cl3823,plain,
! [X0: $i] :
( ( is_a_theorem @ X0 )
| ~ ( is_a_theorem @ ( not @ ( not @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl3793,zip_derived_cl468]) ).
thf(zip_derived_cl3867,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ ( not @ ( and @ X1 @ X0 ) ) )
| ( is_a_theorem @ ( implies @ X1 @ ( not @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl128,zip_derived_cl3823]) ).
thf(zip_derived_cl3923,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ ( or @ X1 @ X0 ) )
| ( is_a_theorem @ ( implies @ ( not @ X1 ) @ ( not @ ( not @ X0 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl120,zip_derived_cl3867]) ).
thf(zip_derived_cl5026,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ ( not @ X0 ) @ ( not @ ( not @ ( implies @ X1 @ ( not @ X0 ) ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl3845,zip_derived_cl3923]) ).
thf(zip_derived_cl128_040,plain,
! [X0: $i,X1: $i] :
( ( and @ X0 @ X1 )
= ( not @ ( implies @ X0 @ ( not @ X1 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl56,zip_derived_cl89,zip_derived_cl61]) ).
thf(zip_derived_cl5098,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ ( not @ X0 ) @ ( not @ ( and @ X1 @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5026,zip_derived_cl128]) ).
thf(zip_derived_cl8247,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ ( not @ ( not @ X0 ) ) @ ( or @ X1 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl120,zip_derived_cl5098]) ).
thf(zip_derived_cl438_041,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( is_a_theorem @ ( implies @ X2 @ ( or @ X1 @ X0 ) ) )
| ( is_a_theorem @ ( or @ X1 @ ( implies @ X2 @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl433,zip_derived_cl89]) ).
thf(zip_derived_cl13142,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( or @ X1 @ ( implies @ ( not @ ( not @ X0 ) ) @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl8247,zip_derived_cl438]) ).
thf(zip_derived_cl85_042,plain,
! [X0: $i] :
( ~ ( is_a_theorem @ ( or @ X0 @ X0 ) )
| ( is_a_theorem @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl84,zip_derived_cl74]) ).
thf(zip_derived_cl13531,plain,
! [X0: $i] : ( is_a_theorem @ ( implies @ ( not @ ( not @ X0 ) ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl13142,zip_derived_cl85]) ).
thf(zip_derived_cl17274,plain,
! [X0: $i] : ( is_a_theorem @ ( equiv @ ( not @ ( not @ X0 ) ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl17192,zip_derived_cl13531]) ).
thf(substitution_of_equivalents,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(substitution_of_equivalents_043,axiom,
substitution_of_equivalents ).
thf(zip_derived_cl69,plain,
substitution_of_equivalents,
inference(cnf,[status(esa)],[substitution_of_equivalents]) ).
thf(zip_derived_cl78,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ ( equiv @ X0 @ X1 ) )
| ( X0 = X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl4,zip_derived_cl69]) ).
thf(zip_derived_cl17292,plain,
! [X0: $i] :
( ( not @ ( not @ X0 ) )
= X0 ),
inference('sup-',[status(thm)],[zip_derived_cl17274,zip_derived_cl78]) ).
thf(zip_derived_cl89_044,plain,
! [X0: $i,X1: $i] :
( ( implies @ X0 @ X1 )
= ( or @ ( not @ X0 ) @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl58,zip_derived_cl60]) ).
thf(zip_derived_cl17462,plain,
! [X0: $i,X1: $i] :
( ( implies @ ( not @ X0 ) @ X1 )
= ( or @ X0 @ X1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl17292,zip_derived_cl89]) ).
thf(zip_derived_cl84_045,plain,
! [X0: $i] : ( is_a_theorem @ ( implies @ ( or @ X0 @ X0 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl45,zip_derived_cl64]) ).
thf(zip_derived_cl18054,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl83,zip_derived_cl17462,zip_derived_cl84]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LCL498+1 : TPTP v8.1.2. Released v3.3.0.
% 0.13/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.CpktS9kPBr true
% 0.13/0.35 % Computer : n027.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri Aug 25 06:21:03 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.36 % Number of cores: 8
% 0.21/0.36 % Python version: Python 3.6.8
% 0.21/0.36 % Running in FO mode
% 0.21/0.64 % Total configuration time : 435
% 0.21/0.64 % Estimated wc time : 1092
% 0.21/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.21/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.28/0.84 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 20.92/3.70 % Solved by fo/fo5.sh.
% 20.92/3.70 % done 2706 iterations in 2.866s
% 20.92/3.70 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 20.92/3.70 % SZS output start Refutation
% See solution above
% 20.92/3.70
% 20.92/3.70
% 20.92/3.70 % Terminating...
% 21.82/3.78 % Runner terminated.
% 21.82/3.79 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------