TSTP Solution File: LCL523+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL523+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.6VzIcdSnwG true
% Computer : n029.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 1.77s 1.08s
% Output : Refutation 1.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 60
% Syntax : Number of formulae : 189 ( 102 unt; 27 typ; 0 def)
% Number of atoms : 237 ( 57 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 828 ( 58 ~; 55 |; 1 &; 695 @)
% ( 13 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% Number of symbols : 29 ( 27 usr; 20 con; 0-2 aty)
% Number of variables : 186 ( 0 ^; 186 !; 0 ?; 186 :)
% Comments :
%------------------------------------------------------------------------------
thf(axiom_5_type,type,
axiom_5: $o ).
thf(axiom_M_type,type,
axiom_M: $o ).
thf(op_or_type,type,
op_or: $o ).
thf(and_type,type,
and: $i > $i > $i ).
thf(axiom_4_type,type,
axiom_4: $o ).
thf(is_a_theorem_type,type,
is_a_theorem: $i > $o ).
thf(necessarily_type,type,
necessarily: $i > $i ).
thf(sk__65_type,type,
sk__65: $i ).
thf(modus_tollens_type,type,
modus_tollens: $o ).
thf(implies_1_type,type,
implies_1: $o ).
thf(op_equiv_type,type,
op_equiv: $o ).
thf(op_implies_and_type,type,
op_implies_and: $o ).
thf(sk__43_type,type,
sk__43: $i ).
thf(or_type,type,
or: $i > $i > $i ).
thf(and_1_type,type,
and_1: $o ).
thf(cn3_type,type,
cn3: $o ).
thf(or_2_type,type,
or_2: $o ).
thf(equiv_type,type,
equiv: $i > $i > $i ).
thf(and_3_type,type,
and_3: $o ).
thf(modus_ponens_type,type,
modus_ponens: $o ).
thf(possibly_type,type,
possibly: $i > $i ).
thf(or_1_type,type,
or_1: $o ).
thf(implies_type,type,
implies: $i > $i > $i ).
thf(op_possibly_type,type,
op_possibly: $o ).
thf(substitution_of_equivalents_type,type,
substitution_of_equivalents: $o ).
thf(implies_2_type,type,
implies_2: $o ).
thf(not_type,type,
not: $i > $i ).
thf(axiom_4,axiom,
( axiom_4
<=> ! [X: $i] : ( is_a_theorem @ ( implies @ ( necessarily @ X ) @ ( necessarily @ ( necessarily @ X ) ) ) ) ) ).
thf(zip_derived_cl97,plain,
( axiom_4
| ~ ( is_a_theorem @ ( implies @ ( necessarily @ sk__65 ) @ ( necessarily @ ( necessarily @ sk__65 ) ) ) ) ),
inference(cnf,[status(esa)],[axiom_4]) ).
thf(km4b_axiom_4,conjecture,
axiom_4 ).
thf(zf_stmt_0,negated_conjecture,
~ axiom_4,
inference('cnf.neg',[status(esa)],[km4b_axiom_4]) ).
thf(zip_derived_cl139,plain,
~ axiom_4,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl197,plain,
~ ( is_a_theorem @ ( implies @ ( necessarily @ sk__65 ) @ ( necessarily @ ( necessarily @ sk__65 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl97,zip_derived_cl139]) ).
thf(and_3,axiom,
( and_3
<=> ! [X: $i,Y: $i] : ( is_a_theorem @ ( implies @ X @ ( implies @ Y @ ( and @ X @ Y ) ) ) ) ) ).
thf(zip_derived_cl19,plain,
! [X0: $i,X1: $i] :
( ( is_a_theorem @ ( implies @ X0 @ ( implies @ X1 @ ( and @ X0 @ X1 ) ) ) )
| ~ and_3 ),
inference(cnf,[status(esa)],[and_3]) ).
thf(hilbert_and_3,axiom,
and_3 ).
thf(zip_derived_cl70,plain,
and_3,
inference(cnf,[status(esa)],[hilbert_and_3]) ).
thf(zip_derived_cl261,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ X0 @ ( implies @ X1 @ ( and @ X0 @ X1 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19,zip_derived_cl70]) ).
thf(implies_2,axiom,
( implies_2
<=> ! [X: $i,Y: $i] : ( is_a_theorem @ ( implies @ ( implies @ X @ ( implies @ X @ Y ) ) @ ( implies @ X @ Y ) ) ) ) ).
thf(zip_derived_cl11,plain,
! [X0: $i,X1: $i] :
( ( is_a_theorem @ ( implies @ ( implies @ X0 @ ( implies @ X0 @ X1 ) ) @ ( implies @ X0 @ X1 ) ) )
| ~ implies_2 ),
inference(cnf,[status(esa)],[implies_2]) ).
thf(hilbert_implies_2,axiom,
implies_2 ).
thf(zip_derived_cl66,plain,
implies_2,
inference(cnf,[status(esa)],[hilbert_implies_2]) ).
thf(zip_derived_cl188,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ ( implies @ X0 @ ( implies @ X0 @ X1 ) ) @ ( implies @ X0 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11,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(hilbert_modus_ponens,axiom,
modus_ponens ).
thf(zip_derived_cl63,plain,
modus_ponens,
inference(cnf,[status(esa)],[hilbert_modus_ponens]) ).
thf(zip_derived_cl140,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_cl189,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ ( implies @ X1 @ ( implies @ X1 @ X0 ) ) )
| ( is_a_theorem @ ( implies @ X1 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl188,zip_derived_cl140]) ).
thf(zip_derived_cl264,plain,
! [X0: $i] : ( is_a_theorem @ ( implies @ X0 @ ( and @ X0 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl261,zip_derived_cl189]) ).
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(hilbert_op_equiv,axiom,
op_equiv ).
thf(zip_derived_cl62,plain,
op_equiv,
inference(cnf,[status(esa)],[hilbert_op_equiv]) ).
thf(zip_derived_cl369,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_cl261_001,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ X0 @ ( implies @ X1 @ ( and @ X0 @ X1 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19,zip_derived_cl70]) ).
thf(zip_derived_cl140_002,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_cl262,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ X1 )
| ( is_a_theorem @ ( implies @ X0 @ ( and @ X1 @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl261,zip_derived_cl140]) ).
thf(zip_derived_cl140_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_cl634,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_cl262,zip_derived_cl140]) ).
thf(zip_derived_cl649,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_cl369,zip_derived_cl634]) ).
thf(zip_derived_cl803,plain,
! [X0: $i] :
( ~ ( is_a_theorem @ ( implies @ ( and @ X0 @ X0 ) @ X0 ) )
| ( is_a_theorem @ ( equiv @ ( and @ X0 @ X0 ) @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl264,zip_derived_cl649]) ).
thf(and_1,axiom,
( and_1
<=> ! [X: $i,Y: $i] : ( is_a_theorem @ ( implies @ ( and @ X @ Y ) @ X ) ) ) ).
thf(zip_derived_cl15,plain,
! [X0: $i,X1: $i] :
( ( is_a_theorem @ ( implies @ ( and @ X0 @ X1 ) @ X0 ) )
| ~ and_1 ),
inference(cnf,[status(esa)],[and_1]) ).
thf(hilbert_and_1,axiom,
and_1 ).
thf(zip_derived_cl68,plain,
and_1,
inference(cnf,[status(esa)],[hilbert_and_1]) ).
thf(zip_derived_cl170,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ ( and @ X0 @ X1 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl15,zip_derived_cl68]) ).
thf(zip_derived_cl825,plain,
! [X0: $i] : ( is_a_theorem @ ( equiv @ ( and @ X0 @ X0 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl803,zip_derived_cl170]) ).
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_004,axiom,
substitution_of_equivalents ).
thf(zip_derived_cl77,plain,
substitution_of_equivalents,
inference(cnf,[status(esa)],[substitution_of_equivalents]) ).
thf(zip_derived_cl147,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ ( equiv @ X0 @ X1 ) )
| ( X0 = X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl4,zip_derived_cl77]) ).
thf(zip_derived_cl830,plain,
! [X0: $i] :
( ( and @ X0 @ X0 )
= X0 ),
inference('sup-',[status(thm)],[zip_derived_cl825,zip_derived_cl147]) ).
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(hilbert_op_or,axiom,
op_or ).
thf(zip_derived_cl60,plain,
op_or,
inference(cnf,[status(esa)],[hilbert_op_or]) ).
thf(zip_derived_cl290,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_possibly,axiom,
( op_possibly
=> ! [X: $i] :
( ( possibly @ X )
= ( not @ ( necessarily @ ( not @ X ) ) ) ) ) ).
thf(zip_derived_cl130,plain,
! [X0: $i] :
( ( ( possibly @ X0 )
= ( not @ ( necessarily @ ( not @ X0 ) ) ) )
| ~ op_possibly ),
inference(cnf,[status(esa)],[op_possibly]) ).
thf(km5_op_possibly,axiom,
op_possibly ).
thf(zip_derived_cl134,plain,
op_possibly,
inference(cnf,[status(esa)],[km5_op_possibly]) ).
thf(zip_derived_cl161,plain,
! [X0: $i] :
( ( possibly @ X0 )
= ( not @ ( necessarily @ ( not @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl130,zip_derived_cl134]) ).
thf(zip_derived_cl293,plain,
! [X0: $i,X1: $i] :
( ( possibly @ ( and @ ( not @ X1 ) @ ( not @ X0 ) ) )
= ( not @ ( necessarily @ ( or @ X1 @ X0 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl290,zip_derived_cl161]) ).
thf(zip_derived_cl855,plain,
! [X0: $i] :
( ( possibly @ ( not @ X0 ) )
= ( not @ ( necessarily @ ( or @ X0 @ X0 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl830,zip_derived_cl293]) ).
thf(cn3,axiom,
( cn3
<=> ! [P: $i] : ( is_a_theorem @ ( implies @ ( implies @ ( not @ P ) @ P ) @ P ) ) ) ).
thf(zip_derived_cl43,plain,
! [X0: $i] :
( ( is_a_theorem @ ( implies @ ( implies @ ( not @ X0 ) @ X0 ) @ X0 ) )
| ~ cn3 ),
inference(cnf,[status(esa)],[cn3]) ).
thf(zip_derived_cl290_005,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(hilbert_op_implies_and,axiom,
op_implies_and ).
thf(zip_derived_cl61,plain,
op_implies_and,
inference(cnf,[status(esa)],[hilbert_op_implies_and]) ).
thf(zip_derived_cl218,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_cl307,plain,
! [X0: $i,X1: $i] :
( ( implies @ ( not @ X1 ) @ X0 )
= ( or @ X1 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl290,zip_derived_cl218]) ).
thf(zip_derived_cl320,plain,
! [X0: $i] :
( ( is_a_theorem @ ( implies @ ( or @ X0 @ X0 ) @ X0 ) )
| ~ cn3 ),
inference(demod,[status(thm)],[zip_derived_cl43,zip_derived_cl307]) ).
thf(zip_derived_cl44,plain,
( cn3
| ~ ( is_a_theorem @ ( implies @ ( implies @ ( not @ sk__43 ) @ sk__43 ) @ sk__43 ) ) ),
inference(cnf,[status(esa)],[cn3]) ).
thf(zip_derived_cl307_006,plain,
! [X0: $i,X1: $i] :
( ( implies @ ( not @ X1 ) @ X0 )
= ( or @ X1 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl290,zip_derived_cl218]) ).
thf(zip_derived_cl321,plain,
( cn3
| ~ ( is_a_theorem @ ( implies @ ( or @ sk__43 @ sk__43 ) @ sk__43 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl44,zip_derived_cl307]) ).
thf(zip_derived_cl830_007,plain,
! [X0: $i] :
( ( and @ X0 @ X0 )
= X0 ),
inference('sup-',[status(thm)],[zip_derived_cl825,zip_derived_cl147]) ).
thf(zip_derived_cl290_008,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_cl854,plain,
! [X0: $i] :
( ( or @ X0 @ X0 )
= ( not @ ( not @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl830,zip_derived_cl290]) ).
thf(zip_derived_cl307_009,plain,
! [X0: $i,X1: $i] :
( ( implies @ ( not @ X1 ) @ X0 )
= ( or @ X1 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl290,zip_derived_cl218]) ).
thf(zip_derived_cl916,plain,
( cn3
| ~ ( is_a_theorem @ ( or @ ( not @ sk__43 ) @ sk__43 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl321,zip_derived_cl854,zip_derived_cl307]) ).
thf(zip_derived_cl854_010,plain,
! [X0: $i] :
( ( or @ X0 @ X0 )
= ( not @ ( not @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl830,zip_derived_cl290]) ).
thf(zip_derived_cl307_011,plain,
! [X0: $i,X1: $i] :
( ( implies @ ( not @ X1 ) @ X0 )
= ( or @ X1 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl290,zip_derived_cl218]) ).
thf(or_2,axiom,
( or_2
<=> ! [X: $i,Y: $i] : ( is_a_theorem @ ( implies @ Y @ ( or @ X @ Y ) ) ) ) ).
thf(zip_derived_cl23,plain,
! [X0: $i,X1: $i] :
( ( is_a_theorem @ ( implies @ X0 @ ( or @ X1 @ X0 ) ) )
| ~ or_2 ),
inference(cnf,[status(esa)],[or_2]) ).
thf(hilbert_or_2,axiom,
or_2 ).
thf(zip_derived_cl72,plain,
or_2,
inference(cnf,[status(esa)],[hilbert_or_2]) ).
thf(zip_derived_cl185,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ X0 @ ( or @ X1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23,zip_derived_cl72]) ).
thf(zip_derived_cl347,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( or @ X0 @ ( or @ X1 @ ( not @ X0 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl307,zip_derived_cl185]) ).
thf(zip_derived_cl964,plain,
! [X0: $i] : ( is_a_theorem @ ( or @ X0 @ ( not @ ( not @ ( not @ X0 ) ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl854,zip_derived_cl347]) ).
thf(modus_tollens,axiom,
( modus_tollens
<=> ! [X: $i,Y: $i] : ( is_a_theorem @ ( implies @ ( implies @ ( not @ Y ) @ ( not @ X ) ) @ ( implies @ X @ Y ) ) ) ) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i] :
( ( is_a_theorem @ ( implies @ ( implies @ ( not @ X0 ) @ ( not @ X1 ) ) @ ( implies @ X1 @ X0 ) ) )
| ~ modus_tollens ),
inference(cnf,[status(esa)],[modus_tollens]) ).
thf(hilbert_modus_tollens,axiom,
modus_tollens ).
thf(zip_derived_cl64,plain,
modus_tollens,
inference(cnf,[status(esa)],[hilbert_modus_tollens]) ).
thf(zip_derived_cl153,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ ( implies @ ( not @ X0 ) @ ( not @ X1 ) ) @ ( implies @ X1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7,zip_derived_cl64]) ).
thf(zip_derived_cl140_012,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_cl154,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ ( implies @ ( not @ X0 ) @ ( not @ X1 ) ) )
| ( is_a_theorem @ ( implies @ X1 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl153,zip_derived_cl140]) ).
thf(zip_derived_cl307_013,plain,
! [X0: $i,X1: $i] :
( ( implies @ ( not @ X1 ) @ X0 )
= ( or @ X1 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl290,zip_derived_cl218]) ).
thf(zip_derived_cl323,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ ( or @ X0 @ ( not @ X1 ) ) )
| ( is_a_theorem @ ( implies @ X1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl154,zip_derived_cl307]) ).
thf(zip_derived_cl1868,plain,
! [X0: $i] : ( is_a_theorem @ ( implies @ ( not @ ( not @ X0 ) ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl964,zip_derived_cl323]) ).
thf(zip_derived_cl307_014,plain,
! [X0: $i,X1: $i] :
( ( implies @ ( not @ X1 ) @ X0 )
= ( or @ X1 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl290,zip_derived_cl218]) ).
thf(zip_derived_cl1893,plain,
! [X0: $i] : ( is_a_theorem @ ( or @ ( not @ X0 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1868,zip_derived_cl307]) ).
thf(zip_derived_cl1894,plain,
cn3,
inference(demod,[status(thm)],[zip_derived_cl916,zip_derived_cl1893]) ).
thf(zip_derived_cl1927,plain,
! [X0: $i] : ( is_a_theorem @ ( implies @ ( or @ X0 @ X0 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl320,zip_derived_cl1894]) ).
thf(zip_derived_cl649_015,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_cl369,zip_derived_cl634]) ).
thf(zip_derived_cl1974,plain,
! [X0: $i] :
( ~ ( is_a_theorem @ ( implies @ X0 @ ( or @ X0 @ X0 ) ) )
| ( is_a_theorem @ ( equiv @ X0 @ ( or @ X0 @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1927,zip_derived_cl649]) ).
thf(or_1,axiom,
( or_1
<=> ! [X: $i,Y: $i] : ( is_a_theorem @ ( implies @ X @ ( or @ X @ Y ) ) ) ) ).
thf(zip_derived_cl21,plain,
! [X0: $i,X1: $i] :
( ( is_a_theorem @ ( implies @ X0 @ ( or @ X0 @ X1 ) ) )
| ~ or_1 ),
inference(cnf,[status(esa)],[or_1]) ).
thf(hilbert_or_1,axiom,
or_1 ).
thf(zip_derived_cl71,plain,
or_1,
inference(cnf,[status(esa)],[hilbert_or_1]) ).
thf(zip_derived_cl183,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ X0 @ ( or @ X0 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl21,zip_derived_cl71]) ).
thf(zip_derived_cl1980,plain,
! [X0: $i] : ( is_a_theorem @ ( equiv @ X0 @ ( or @ X0 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1974,zip_derived_cl183]) ).
thf(zip_derived_cl147_016,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ ( equiv @ X0 @ X1 ) )
| ( X0 = X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl4,zip_derived_cl77]) ).
thf(zip_derived_cl1981,plain,
! [X0: $i] :
( X0
= ( or @ X0 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1980,zip_derived_cl147]) ).
thf(zip_derived_cl1998,plain,
! [X0: $i] :
( ( possibly @ ( not @ X0 ) )
= ( not @ ( necessarily @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl855,zip_derived_cl1981]) ).
thf(zip_derived_cl1998_017,plain,
! [X0: $i] :
( ( possibly @ ( not @ X0 ) )
= ( not @ ( necessarily @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl855,zip_derived_cl1981]) ).
thf(zip_derived_cl854_018,plain,
! [X0: $i] :
( ( or @ X0 @ X0 )
= ( not @ ( not @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl830,zip_derived_cl290]) ).
thf(zip_derived_cl1981_019,plain,
! [X0: $i] :
( X0
= ( or @ X0 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1980,zip_derived_cl147]) ).
thf(zip_derived_cl1997,plain,
! [X0: $i] :
( X0
= ( not @ ( not @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl854,zip_derived_cl1981]) ).
thf(zip_derived_cl2179,plain,
! [X0: $i] :
( ( necessarily @ X0 )
= ( not @ ( possibly @ ( not @ X0 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1998,zip_derived_cl1997]) ).
thf(zip_derived_cl2373,plain,
! [X0: $i] :
( ( necessarily @ ( necessarily @ X0 ) )
= ( not @ ( possibly @ ( possibly @ ( not @ X0 ) ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1998,zip_derived_cl2179]) ).
thf(zip_derived_cl161_020,plain,
! [X0: $i] :
( ( possibly @ X0 )
= ( not @ ( necessarily @ ( not @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl130,zip_derived_cl134]) ).
thf(zip_derived_cl161_021,plain,
! [X0: $i] :
( ( possibly @ X0 )
= ( not @ ( necessarily @ ( not @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl130,zip_derived_cl134]) ).
thf(zip_derived_cl161_022,plain,
! [X0: $i] :
( ( possibly @ X0 )
= ( not @ ( necessarily @ ( not @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl130,zip_derived_cl134]) ).
thf(zip_derived_cl164,plain,
! [X0: $i] :
( ( possibly @ ( necessarily @ ( not @ X0 ) ) )
= ( not @ ( necessarily @ ( possibly @ X0 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl161,zip_derived_cl161]) ).
thf(axiom_5,axiom,
( axiom_5
<=> ! [X: $i] : ( is_a_theorem @ ( implies @ ( possibly @ X ) @ ( necessarily @ ( possibly @ X ) ) ) ) ) ).
thf(zip_derived_cl100,plain,
! [X0: $i] :
( ( is_a_theorem @ ( implies @ ( possibly @ X0 ) @ ( necessarily @ ( possibly @ X0 ) ) ) )
| ~ axiom_5 ),
inference(cnf,[status(esa)],[axiom_5]) ).
thf(km5_axiom_5,axiom,
axiom_5 ).
thf(zip_derived_cl138,plain,
axiom_5,
inference(cnf,[status(esa)],[km5_axiom_5]) ).
thf(zip_derived_cl231,plain,
! [X0: $i] : ( is_a_theorem @ ( implies @ ( possibly @ X0 ) @ ( necessarily @ ( possibly @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl100,zip_derived_cl138]) ).
thf(zip_derived_cl649_023,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_cl369,zip_derived_cl634]) ).
thf(zip_derived_cl820,plain,
! [X0: $i] :
( ~ ( is_a_theorem @ ( implies @ ( necessarily @ ( possibly @ X0 ) ) @ ( possibly @ X0 ) ) )
| ( is_a_theorem @ ( equiv @ ( necessarily @ ( possibly @ X0 ) ) @ ( possibly @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl231,zip_derived_cl649]) ).
thf(axiom_M,axiom,
( axiom_M
<=> ! [X: $i] : ( is_a_theorem @ ( implies @ ( necessarily @ X ) @ X ) ) ) ).
thf(zip_derived_cl94,plain,
! [X0: $i] :
( ( is_a_theorem @ ( implies @ ( necessarily @ X0 ) @ X0 ) )
| ~ axiom_M ),
inference(cnf,[status(esa)],[axiom_M]) ).
thf(km5_axiom_M,axiom,
axiom_M ).
thf(zip_derived_cl137,plain,
axiom_M,
inference(cnf,[status(esa)],[km5_axiom_M]) ).
thf(zip_derived_cl151,plain,
! [X0: $i] : ( is_a_theorem @ ( implies @ ( necessarily @ X0 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl94,zip_derived_cl137]) ).
thf(zip_derived_cl829,plain,
! [X0: $i] : ( is_a_theorem @ ( equiv @ ( necessarily @ ( possibly @ X0 ) ) @ ( possibly @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl820,zip_derived_cl151]) ).
thf(zip_derived_cl147_024,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ ( equiv @ X0 @ X1 ) )
| ( X0 = X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl4,zip_derived_cl77]) ).
thf(zip_derived_cl1238,plain,
! [X0: $i] :
( ( necessarily @ ( possibly @ X0 ) )
= ( possibly @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl829,zip_derived_cl147]) ).
thf(zip_derived_cl1257,plain,
! [X0: $i] :
( ( possibly @ ( necessarily @ ( not @ X0 ) ) )
= ( not @ ( possibly @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl164,zip_derived_cl1238]) ).
thf(zip_derived_cl1307,plain,
! [X0: $i] :
( ( possibly @ ( necessarily @ ( possibly @ X0 ) ) )
= ( not @ ( possibly @ ( necessarily @ ( not @ X0 ) ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl161,zip_derived_cl1257]) ).
thf(zip_derived_cl1238_025,plain,
! [X0: $i] :
( ( necessarily @ ( possibly @ X0 ) )
= ( possibly @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl829,zip_derived_cl147]) ).
thf(zip_derived_cl1257_026,plain,
! [X0: $i] :
( ( possibly @ ( necessarily @ ( not @ X0 ) ) )
= ( not @ ( possibly @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl164,zip_derived_cl1238]) ).
thf(zip_derived_cl1311,plain,
! [X0: $i] :
( ( possibly @ ( possibly @ X0 ) )
= ( not @ ( not @ ( possibly @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1307,zip_derived_cl1238,zip_derived_cl1257]) ).
thf(zip_derived_cl1997_027,plain,
! [X0: $i] :
( X0
= ( not @ ( not @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl854,zip_derived_cl1981]) ).
thf(zip_derived_cl2035,plain,
! [X0: $i] :
( ( possibly @ ( possibly @ X0 ) )
= ( possibly @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1311,zip_derived_cl1997]) ).
thf(zip_derived_cl2179_028,plain,
! [X0: $i] :
( ( necessarily @ X0 )
= ( not @ ( possibly @ ( not @ X0 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1998,zip_derived_cl1997]) ).
thf(zip_derived_cl2375,plain,
! [X0: $i] :
( ( necessarily @ ( necessarily @ X0 ) )
= ( necessarily @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl2373,zip_derived_cl2035,zip_derived_cl2179]) ).
thf(zip_derived_cl830_029,plain,
! [X0: $i] :
( ( and @ X0 @ X0 )
= X0 ),
inference('sup-',[status(thm)],[zip_derived_cl825,zip_derived_cl147]) ).
thf(zip_derived_cl369_030,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_cl853,plain,
! [X0: $i] :
( ( equiv @ X0 @ X0 )
= ( implies @ X0 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl830,zip_derived_cl369]) ).
thf(zip_derived_cl369_031,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_cl264_032,plain,
! [X0: $i] : ( is_a_theorem @ ( implies @ X0 @ ( and @ X0 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl261,zip_derived_cl189]) ).
thf(zip_derived_cl140_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_cl274,plain,
! [X0: $i] :
( ~ ( is_a_theorem @ X0 )
| ( is_a_theorem @ ( and @ X0 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl264,zip_derived_cl140]) ).
thf(zip_derived_cl375,plain,
! [X0: $i] :
( ( is_a_theorem @ ( equiv @ X0 @ X0 ) )
| ~ ( is_a_theorem @ ( implies @ X0 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl369,zip_derived_cl274]) ).
thf(implies_1,axiom,
( implies_1
<=> ! [X: $i,Y: $i] : ( is_a_theorem @ ( implies @ X @ ( implies @ Y @ X ) ) ) ) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: $i] :
( ( is_a_theorem @ ( implies @ X0 @ ( implies @ X1 @ X0 ) ) )
| ~ implies_1 ),
inference(cnf,[status(esa)],[implies_1]) ).
thf(hilbert_implies_1,axiom,
implies_1 ).
thf(zip_derived_cl65,plain,
implies_1,
inference(cnf,[status(esa)],[hilbert_implies_1]) ).
thf(zip_derived_cl168,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ X0 @ ( implies @ X1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9,zip_derived_cl65]) ).
thf(zip_derived_cl189_034,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ ( implies @ X1 @ ( implies @ X1 @ X0 ) ) )
| ( is_a_theorem @ ( implies @ X1 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl188,zip_derived_cl140]) ).
thf(zip_derived_cl192,plain,
! [X0: $i] : ( is_a_theorem @ ( implies @ X0 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl168,zip_derived_cl189]) ).
thf(zip_derived_cl379,plain,
! [X0: $i] : ( is_a_theorem @ ( equiv @ X0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl375,zip_derived_cl192]) ).
thf(zip_derived_cl2418,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl197,zip_derived_cl2375,zip_derived_cl853,zip_derived_cl379]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LCL523+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.6VzIcdSnwG true
% 0.14/0.35 % Computer : n029.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 : Thu Aug 24 17:18:23 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
% 0.14/0.36 % 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
% 0.21/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.21/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 1.34/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo8.sh running for 50s
% 1.34/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo17_bce.sh running for 50s
% 1.77/1.08 % Solved by fo/fo5.sh.
% 1.77/1.08 % done 508 iterations in 0.294s
% 1.77/1.08 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.77/1.08 % SZS output start Refutation
% See solution above
% 1.77/1.08
% 1.77/1.08
% 1.77/1.08 % Terminating...
% 1.77/1.15 % Runner terminated.
% 1.90/1.16 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------