TSTP Solution File: LCL520+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL520+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.2rEKpmLQfH true
% Computer : n021.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 11.68s 2.34s
% Output : Refutation 11.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 38
% Syntax : Number of formulae : 141 ( 86 unt; 18 typ; 0 def)
% Number of atoms : 170 ( 52 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 801 ( 38 ~; 35 |; 1 &; 716 @)
% ( 5 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 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 : 204 ( 0 ^; 204 !; 0 ?; 204 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__47_type,type,
sk__47: $i ).
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(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(sk__48_type,type,
sk__48: $i ).
thf(r3_type,type,
r3: $o ).
thf(kn1_type,type,
kn1: $o ).
thf(equiv_type,type,
equiv: $i > $i > $i ).
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(r3,axiom,
( r3
<=> ! [P: $i,Q: $i] : ( is_a_theorem @ ( implies @ ( or @ P @ Q ) @ ( or @ Q @ P ) ) ) ) ).
thf(zip_derived_cl50,plain,
( r3
| ~ ( is_a_theorem @ ( implies @ ( or @ sk__47 @ sk__48 ) @ ( or @ sk__48 @ sk__47 ) ) ) ),
inference(cnf,[status(esa)],[r3]) ).
thf(principia_r3,conjecture,
r3 ).
thf(zf_stmt_0,negated_conjecture,
~ r3,
inference('cnf.neg',[status(esa)],[principia_r3]) ).
thf(zip_derived_cl71,plain,
~ r3,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl357,plain,
~ ( is_a_theorem @ ( implies @ ( or @ sk__47 @ sk__48 ) @ ( or @ sk__48 @ sk__47 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl50,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_cl328_001,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,
! [X0: $i,X1: $i,X2: $i] :
( ( or @ ( and @ ( not @ X1 ) @ ( not @ X0 ) ) @ X2 )
= ( not @ ( and @ ( or @ X1 @ X0 ) @ ( not @ X2 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl328,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_cl595,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( or @ ( and @ ( not @ X1 ) @ ( not @ X0 ) ) @ X2 )
= ( implies @ ( or @ X1 @ X0 ) @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl362,zip_derived_cl330]) ).
thf(zip_derived_cl330_002,plain,
! [X0: $i,X1: $i] :
( ( implies @ X1 @ X0 )
= ( not @ ( and @ X1 @ ( not @ X0 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl61,zip_derived_cl57]) ).
thf(rosser_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_cl330_003,plain,
! [X0: $i,X1: $i] :
( ( implies @ X1 @ X0 )
= ( not @ ( and @ X1 @ ( not @ X0 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl61,zip_derived_cl57]) ).
thf(zip_derived_cl328_004,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_cl382,plain,
! [X0: $i,X1: $i] :
( ( or @ X1 @ X0 )
= ( implies @ ( not @ X1 ) @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl330,zip_derived_cl328]) ).
thf(zip_derived_cl499,plain,
! [X0: $i,X1: $i,X2: $i] : ( is_a_theorem @ ( implies @ ( implies @ X0 @ X2 ) @ ( or @ ( and @ X2 @ X1 ) @ ( not @ ( and @ X1 @ X0 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl355,zip_derived_cl382]) ).
thf(zip_derived_cl501,plain,
! [X0: $i,X1: $i,X2: $i] : ( is_a_theorem @ ( implies @ ( implies @ ( not @ X0 ) @ X2 ) @ ( or @ ( and @ X2 @ X1 ) @ ( implies @ X1 @ X0 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl330,zip_derived_cl499]) ).
thf(zip_derived_cl382_005,plain,
! [X0: $i,X1: $i] :
( ( or @ X1 @ X0 )
= ( implies @ ( not @ X1 ) @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl330,zip_derived_cl328]) ).
thf(zip_derived_cl508,plain,
! [X0: $i,X1: $i,X2: $i] : ( is_a_theorem @ ( implies @ ( or @ X0 @ X2 ) @ ( or @ ( and @ X2 @ X1 ) @ ( implies @ X1 @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl501,zip_derived_cl382]) ).
thf(zip_derived_cl601,plain,
! [X0: $i,X1: $i,X2: $i] : ( is_a_theorem @ ( implies @ ( or @ X0 @ ( not @ X2 ) ) @ ( implies @ ( or @ X2 @ X1 ) @ ( implies @ ( not @ X1 ) @ X0 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl595,zip_derived_cl508]) ).
thf(zip_derived_cl382_006,plain,
! [X0: $i,X1: $i] :
( ( or @ X1 @ X0 )
= ( implies @ ( not @ X1 ) @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl330,zip_derived_cl328]) ).
thf(zip_derived_cl619,plain,
! [X0: $i,X1: $i,X2: $i] : ( is_a_theorem @ ( implies @ ( or @ X0 @ ( not @ X2 ) ) @ ( implies @ ( or @ X2 @ X1 ) @ ( or @ X1 @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl601,zip_derived_cl382]) ).
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(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_cl366,plain,
! [X0: $i] :
( ~ ( is_a_theorem @ X0 )
| ( is_a_theorem @ ( and @ X0 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl353,zip_derived_cl359]) ).
thf(zip_derived_cl429,plain,
! [X0: $i] :
( ~ ( is_a_theorem @ ( implies @ X0 @ X0 ) )
| ( is_a_theorem @ ( equiv @ X0 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl352,zip_derived_cl366]) ).
thf(zip_derived_cl328_007,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(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_cl365,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( implies @ ( and @ ( not @ X1 ) @ ( not @ X0 ) ) @ X2 )
= ( or @ ( or @ X1 @ X0 ) @ X2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl328,zip_derived_cl331]) ).
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_cl684,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( or @ ( or @ X0 @ X1 ) @ ( not @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl365,zip_derived_cl354]) ).
thf(zip_derived_cl508_008,plain,
! [X0: $i,X1: $i,X2: $i] : ( is_a_theorem @ ( implies @ ( or @ X0 @ X2 ) @ ( or @ ( and @ X2 @ X1 ) @ ( implies @ X1 @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl501,zip_derived_cl382]) ).
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(zip_derived_cl331_009,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_cl367,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_cl331_010,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,X2: $i] :
( ( implies @ ( implies @ X1 @ ( not @ X0 ) ) @ X2 )
= ( or @ ( and @ X1 @ X0 ) @ X2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl367,zip_derived_cl331]) ).
thf(zip_derived_cl871,plain,
! [X0: $i,X1: $i,X2: $i] : ( is_a_theorem @ ( implies @ ( or @ X0 @ X2 ) @ ( implies @ ( implies @ X2 @ ( not @ X1 ) ) @ ( implies @ X1 @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl508,zip_derived_cl371]) ).
thf(zip_derived_cl382_011,plain,
! [X0: $i,X1: $i] :
( ( or @ X1 @ X0 )
= ( implies @ ( not @ X1 ) @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl330,zip_derived_cl328]) ).
thf(zip_derived_cl353_012,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_cl389,plain,
! [X0: $i] : ( is_a_theorem @ ( or @ X0 @ ( and @ ( not @ X0 ) @ ( not @ X0 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl382,zip_derived_cl353]) ).
thf(zip_derived_cl328_013,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_cl328_014,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_cl361,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( or @ X2 @ ( and @ ( not @ X1 ) @ ( not @ X0 ) ) )
= ( not @ ( and @ ( not @ X2 ) @ ( or @ X1 @ X0 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl328,zip_derived_cl328]) ).
thf(zip_derived_cl1233,plain,
! [X0: $i] : ( is_a_theorem @ ( not @ ( and @ ( not @ X0 ) @ ( or @ X0 @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl389,zip_derived_cl361]) ).
thf(zip_derived_cl382_015,plain,
! [X0: $i,X1: $i] :
( ( or @ X1 @ X0 )
= ( implies @ ( not @ X1 ) @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl330,zip_derived_cl328]) ).
thf(zip_derived_cl359_016,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_cl387,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ ( not @ X1 ) )
| ~ ( is_a_theorem @ ( or @ X1 @ X0 ) )
| ( is_a_theorem @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl382,zip_derived_cl359]) ).
thf(zip_derived_cl1234,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ ( or @ ( and @ ( not @ X0 ) @ ( or @ X0 @ X0 ) ) @ X1 ) )
| ( is_a_theorem @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1233,zip_derived_cl387]) ).
thf(zip_derived_cl371_017,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( implies @ ( implies @ X1 @ ( not @ X0 ) ) @ X2 )
= ( or @ ( and @ X1 @ X0 ) @ X2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl367,zip_derived_cl331]) ).
thf(zip_derived_cl382_018,plain,
! [X0: $i,X1: $i] :
( ( or @ X1 @ X0 )
= ( implies @ ( not @ X1 ) @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl330,zip_derived_cl328]) ).
thf(zip_derived_cl1263,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ ( implies @ ( or @ X0 @ ( not @ ( or @ X0 @ X0 ) ) ) @ X1 ) )
| ( is_a_theorem @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl1234,zip_derived_cl371,zip_derived_cl382]) ).
thf(zip_derived_cl1415,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ ( implies @ ( not @ ( or @ X0 @ X0 ) ) @ ( not @ X1 ) ) @ ( implies @ X1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl871,zip_derived_cl1263]) ).
thf(zip_derived_cl382_019,plain,
! [X0: $i,X1: $i] :
( ( or @ X1 @ X0 )
= ( implies @ ( not @ X1 ) @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl330,zip_derived_cl328]) ).
thf(zip_derived_cl1427,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ ( or @ ( or @ X0 @ X0 ) @ ( not @ X1 ) ) @ ( implies @ X1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1415,zip_derived_cl382]) ).
thf(zip_derived_cl359_020,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_cl1616,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ ( or @ ( or @ X0 @ X0 ) @ ( not @ X1 ) ) )
| ( is_a_theorem @ ( implies @ X1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1427,zip_derived_cl359]) ).
thf(zip_derived_cl3828,plain,
! [X0: $i] : ( is_a_theorem @ ( implies @ X0 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl684,zip_derived_cl1616]) ).
thf(zip_derived_cl3855,plain,
! [X0: $i] : ( is_a_theorem @ ( equiv @ X0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl429,zip_derived_cl3828]) ).
thf(zip_derived_cl382_021,plain,
! [X0: $i,X1: $i] :
( ( or @ X1 @ X0 )
= ( implies @ ( not @ X1 ) @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl330,zip_derived_cl328]) ).
thf(zip_derived_cl352_022,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_cl430,plain,
! [X0: $i,X1: $i] :
( ( equiv @ X0 @ ( not @ X1 ) )
= ( and @ ( implies @ X0 @ ( not @ X1 ) ) @ ( or @ X1 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl382,zip_derived_cl352]) ).
thf(zip_derived_cl331_023,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_cl382_024,plain,
! [X0: $i,X1: $i] :
( ( or @ X1 @ X0 )
= ( implies @ ( not @ X1 ) @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl330,zip_derived_cl328]) ).
thf(zip_derived_cl367_025,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_cl388,plain,
! [X0: $i,X1: $i] :
( ( and @ ( not @ X1 ) @ X0 )
= ( not @ ( or @ X1 @ ( not @ X0 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl382,zip_derived_cl367]) ).
thf(zip_derived_cl404,plain,
! [X0: $i,X1: $i] :
( ( and @ ( not @ ( not @ X1 ) ) @ X0 )
= ( not @ ( implies @ X1 @ ( not @ X0 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl331,zip_derived_cl388]) ).
thf(zip_derived_cl367_026,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_cl409,plain,
! [X0: $i,X1: $i] :
( ( and @ ( not @ ( not @ X1 ) ) @ X0 )
= ( and @ X1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl404,zip_derived_cl367]) ).
thf(zip_derived_cl354_027,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_028,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 @ ( and @ X0 @ X1 ) )
| ( is_a_theorem @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl354,zip_derived_cl359]) ).
thf(zip_derived_cl412,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ ( and @ X1 @ X0 ) )
| ( is_a_theorem @ ( not @ ( not @ X1 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl409,zip_derived_cl374]) ).
thf(zip_derived_cl3495,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ ( equiv @ X1 @ ( not @ X0 ) ) )
| ( is_a_theorem @ ( not @ ( not @ ( implies @ X1 @ ( not @ X0 ) ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl430,zip_derived_cl412]) ).
thf(zip_derived_cl367_029,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_cl3540,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ ( equiv @ X1 @ ( not @ X0 ) ) )
| ( is_a_theorem @ ( not @ ( and @ X1 @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3495,zip_derived_cl367]) ).
thf(zip_derived_cl3872,plain,
! [X0: $i] : ( is_a_theorem @ ( not @ ( and @ ( not @ X0 ) @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3855,zip_derived_cl3540]) ).
thf(zip_derived_cl387_030,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ ( not @ X1 ) )
| ~ ( is_a_theorem @ ( or @ X1 @ X0 ) )
| ( is_a_theorem @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl382,zip_derived_cl359]) ).
thf(zip_derived_cl4441,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ ( or @ ( and @ ( not @ X0 ) @ X0 ) @ X1 ) )
| ( is_a_theorem @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3872,zip_derived_cl387]) ).
thf(zip_derived_cl388_031,plain,
! [X0: $i,X1: $i] :
( ( and @ ( not @ X1 ) @ X0 )
= ( not @ ( or @ X1 @ ( not @ X0 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl382,zip_derived_cl367]) ).
thf(zip_derived_cl331_032,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_cl401,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( implies @ ( or @ X1 @ ( not @ X0 ) ) @ X2 )
= ( or @ ( and @ ( not @ X1 ) @ X0 ) @ X2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl388,zip_derived_cl331]) ).
thf(zip_derived_cl4502,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ ( implies @ ( or @ X0 @ ( not @ X0 ) ) @ X1 ) )
| ( is_a_theorem @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl4441,zip_derived_cl401]) ).
thf(zip_derived_cl8113,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ ( or @ X0 @ X1 ) @ ( or @ X1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl619,zip_derived_cl4502]) ).
thf(zip_derived_cl8183,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl357,zip_derived_cl8113]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : LCL520+1 : TPTP v8.1.2. Released v3.3.0.
% 0.14/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.2rEKpmLQfH true
% 0.14/0.35 % Computer : n021.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 06:05:55 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.21/0.36 % Running in FO mode
% 0.22/0.64 % Total configuration time : 435
% 0.22/0.64 % Estimated wc time : 1092
% 0.22/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.75 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.77 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.77 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.11/0.78 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.11/0.78 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.11/0.79 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.41/0.81 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 11.68/2.34 % Solved by fo/fo6_bce.sh.
% 11.68/2.34 % BCE start: 72
% 11.68/2.34 % BCE eliminated: 0
% 11.68/2.34 % PE start: 72
% 11.68/2.34 logic: eq
% 11.68/2.34 % PE eliminated: 40
% 11.68/2.34 % done 576 iterations in 1.563s
% 11.68/2.34 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 11.68/2.34 % SZS output start Refutation
% See solution above
% 11.68/2.34
% 11.68/2.34
% 11.68/2.34 % Terminating...
% 12.84/2.51 % Runner terminated.
% 12.84/2.52 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------