TSTP Solution File: LCL549+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL549+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.MjhcG6FJm4 true
% Computer : n031.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 09:00:09 EDT 2023
% Result : Theorem 17.10s 3.07s
% Output : Refutation 17.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 67
% Syntax : Number of formulae : 181 ( 89 unt; 30 typ; 0 def)
% Number of atoms : 229 ( 43 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 751 ( 58 ~; 55 |; 1 &; 615 @)
% ( 14 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 14 ( 14 >; 0 *; 0 +; 0 <<)
% Number of symbols : 32 ( 30 usr; 22 con; 0-2 aty)
% Number of variables : 166 ( 0 ^; 166 !; 0 ?; 166 :)
% Comments :
%------------------------------------------------------------------------------
thf(axiom_m10_type,type,
axiom_m10: $o ).
thf(sk__93_type,type,
sk__93: $i ).
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(modus_tollens_type,type,
modus_tollens: $o ).
thf(op_equiv_type,type,
op_equiv: $o ).
thf(op_implies_and_type,type,
op_implies_and: $o ).
thf(strict_implies_type,type,
strict_implies: $i > $i > $i ).
thf(op_strict_implies_type,type,
op_strict_implies: $o ).
thf(or_type,type,
or: $i > $i > $i ).
thf(and_1_type,type,
and_1: $o ).
thf(cn3_type,type,
cn3: $o ).
thf(necessitation_type,type,
necessitation: $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(sk__43_type,type,
sk__43: $i ).
thf(axiom_B_type,type,
axiom_B: $o ).
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_m10,axiom,
( axiom_m10
<=> ! [X: $i] : ( is_a_theorem @ ( strict_implies @ ( possibly @ X ) @ ( necessarily @ ( possibly @ X ) ) ) ) ) ).
thf(zip_derived_cl129,plain,
( axiom_m10
| ~ ( is_a_theorem @ ( strict_implies @ ( possibly @ sk__93 ) @ ( necessarily @ ( possibly @ sk__93 ) ) ) ) ),
inference(cnf,[status(esa)],[axiom_m10]) ).
thf(s1_0_m10_axiom_m10,conjecture,
axiom_m10 ).
thf(zf_stmt_0,negated_conjecture,
~ axiom_m10,
inference('cnf.neg',[status(esa)],[s1_0_m10_axiom_m10]) ).
thf(zip_derived_cl146,plain,
~ axiom_m10,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl227,plain,
~ ( is_a_theorem @ ( strict_implies @ ( possibly @ sk__93 ) @ ( necessarily @ ( possibly @ sk__93 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl129,zip_derived_cl146]) ).
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_cl312,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_cl207,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_cl147,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_cl208,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_cl207,zip_derived_cl147]) ).
thf(zip_derived_cl315,plain,
! [X0: $i] : ( is_a_theorem @ ( implies @ X0 @ ( and @ X0 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl312,zip_derived_cl208]) ).
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_cl416,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_cl312_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_cl147_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_cl313,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ X1 )
| ( is_a_theorem @ ( implies @ X0 @ ( and @ X1 @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl312,zip_derived_cl147]) ).
thf(zip_derived_cl147_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_cl1701,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_cl313,zip_derived_cl147]) ).
thf(zip_derived_cl1735,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_cl416,zip_derived_cl1701]) ).
thf(zip_derived_cl1923,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_cl315,zip_derived_cl1735]) ).
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_cl1959,plain,
! [X0: $i] : ( is_a_theorem @ ( equiv @ ( and @ X0 @ X0 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1923,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_cl155,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_cl2023,plain,
! [X0: $i] :
( ( and @ X0 @ X0 )
= X0 ),
inference('sup-',[status(thm)],[zip_derived_cl1959,zip_derived_cl155]) ).
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_cl330,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_cl2054,plain,
! [X0: $i] :
( ( or @ X0 @ X0 )
= ( not @ ( not @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl2023,zip_derived_cl330]) ).
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_cl330_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_cl273,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_cl344,plain,
! [X0: $i,X1: $i] :
( ( implies @ ( not @ X1 ) @ X0 )
= ( or @ X1 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl330,zip_derived_cl273]) ).
thf(zip_derived_cl357,plain,
! [X0: $i] :
( ( is_a_theorem @ ( implies @ ( or @ X0 @ X0 ) @ X0 ) )
| ~ cn3 ),
inference(demod,[status(thm)],[zip_derived_cl43,zip_derived_cl344]) ).
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_cl344_006,plain,
! [X0: $i,X1: $i] :
( ( implies @ ( not @ X1 ) @ X0 )
= ( or @ X1 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl330,zip_derived_cl273]) ).
thf(zip_derived_cl358,plain,
( cn3
| ~ ( is_a_theorem @ ( implies @ ( or @ sk__43 @ sk__43 ) @ sk__43 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl44,zip_derived_cl344]) ).
thf(zip_derived_cl2054_007,plain,
! [X0: $i] :
( ( or @ X0 @ X0 )
= ( not @ ( not @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl2023,zip_derived_cl330]) ).
thf(zip_derived_cl344_008,plain,
! [X0: $i,X1: $i] :
( ( implies @ ( not @ X1 ) @ X0 )
= ( or @ X1 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl330,zip_derived_cl273]) ).
thf(zip_derived_cl2685,plain,
( cn3
| ~ ( is_a_theorem @ ( or @ ( not @ sk__43 ) @ sk__43 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl358,zip_derived_cl2054,zip_derived_cl344]) ).
thf(zip_derived_cl2054_009,plain,
! [X0: $i] :
( ( or @ X0 @ X0 )
= ( not @ ( not @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl2023,zip_derived_cl330]) ).
thf(zip_derived_cl344_010,plain,
! [X0: $i,X1: $i] :
( ( implies @ ( not @ X1 ) @ X0 )
= ( or @ X1 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl330,zip_derived_cl273]) ).
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_cl193,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_cl384,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( or @ X0 @ ( or @ X1 @ ( not @ X0 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl344,zip_derived_cl193]) ).
thf(zip_derived_cl2775,plain,
! [X0: $i] : ( is_a_theorem @ ( or @ X0 @ ( not @ ( not @ ( not @ X0 ) ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl2054,zip_derived_cl384]) ).
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_cl172,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_cl147_011,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_cl173,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_cl172,zip_derived_cl147]) ).
thf(zip_derived_cl344_012,plain,
! [X0: $i,X1: $i] :
( ( implies @ ( not @ X1 ) @ X0 )
= ( or @ X1 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl330,zip_derived_cl273]) ).
thf(zip_derived_cl360,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ ( or @ X0 @ ( not @ X1 ) ) )
| ( is_a_theorem @ ( implies @ X1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl173,zip_derived_cl344]) ).
thf(zip_derived_cl13106,plain,
! [X0: $i] : ( is_a_theorem @ ( implies @ ( not @ ( not @ X0 ) ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl2775,zip_derived_cl360]) ).
thf(zip_derived_cl344_013,plain,
! [X0: $i,X1: $i] :
( ( implies @ ( not @ X1 ) @ X0 )
= ( or @ X1 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl330,zip_derived_cl273]) ).
thf(zip_derived_cl13160,plain,
! [X0: $i] : ( is_a_theorem @ ( or @ ( not @ X0 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl13106,zip_derived_cl344]) ).
thf(zip_derived_cl13261,plain,
cn3,
inference(demod,[status(thm)],[zip_derived_cl2685,zip_derived_cl13160]) ).
thf(zip_derived_cl13306,plain,
! [X0: $i] : ( is_a_theorem @ ( implies @ ( or @ X0 @ X0 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl357,zip_derived_cl13261]) ).
thf(zip_derived_cl1735_014,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_cl416,zip_derived_cl1701]) ).
thf(zip_derived_cl13421,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_cl13306,zip_derived_cl1735]) ).
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_cl191,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_cl13456,plain,
! [X0: $i] : ( is_a_theorem @ ( equiv @ X0 @ ( or @ X0 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13421,zip_derived_cl191]) ).
thf(zip_derived_cl155_015,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_cl13545,plain,
! [X0: $i] :
( X0
= ( or @ X0 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl13456,zip_derived_cl155]) ).
thf(zip_derived_cl13577,plain,
! [X0: $i] :
( X0
= ( not @ ( not @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2054,zip_derived_cl13545]) ).
thf(axiom_4,axiom,
( axiom_4
<=> ! [X: $i] : ( is_a_theorem @ ( implies @ ( necessarily @ X ) @ ( necessarily @ ( necessarily @ X ) ) ) ) ) ).
thf(zip_derived_cl96,plain,
! [X0: $i] :
( ( is_a_theorem @ ( implies @ ( necessarily @ X0 ) @ ( necessarily @ ( necessarily @ X0 ) ) ) )
| ~ axiom_4 ),
inference(cnf,[status(esa)],[axiom_4]) ).
thf(km4b_axiom_4,axiom,
axiom_4 ).
thf(zip_derived_cl138,plain,
axiom_4,
inference(cnf,[status(esa)],[km4b_axiom_4]) ).
thf(zip_derived_cl266,plain,
! [X0: $i] : ( is_a_theorem @ ( implies @ ( necessarily @ X0 ) @ ( necessarily @ ( necessarily @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl96,zip_derived_cl138]) ).
thf(zip_derived_cl1735_016,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_cl416,zip_derived_cl1701]) ).
thf(zip_derived_cl1945,plain,
! [X0: $i] :
( ~ ( is_a_theorem @ ( implies @ ( necessarily @ ( necessarily @ X0 ) ) @ ( necessarily @ X0 ) ) )
| ( is_a_theorem @ ( equiv @ ( necessarily @ ( necessarily @ X0 ) ) @ ( necessarily @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl266,zip_derived_cl1735]) ).
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(km4b_axiom_M,axiom,
axiom_M ).
thf(zip_derived_cl137,plain,
axiom_M,
inference(cnf,[status(esa)],[km4b_axiom_M]) ).
thf(zip_derived_cl158,plain,
! [X0: $i] : ( is_a_theorem @ ( implies @ ( necessarily @ X0 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl94,zip_derived_cl137]) ).
thf(zip_derived_cl1962,plain,
! [X0: $i] : ( is_a_theorem @ ( equiv @ ( necessarily @ ( necessarily @ X0 ) ) @ ( necessarily @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1945,zip_derived_cl158]) ).
thf(zip_derived_cl155_017,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_cl9654,plain,
! [X0: $i] :
( ( necessarily @ ( necessarily @ X0 ) )
= ( necessarily @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1962,zip_derived_cl155]) ).
thf(zip_derived_cl13577_018,plain,
! [X0: $i] :
( X0
= ( not @ ( not @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2054,zip_derived_cl13545]) ).
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(km4b_op_possibly,axiom,
op_possibly ).
thf(zip_derived_cl134,plain,
op_possibly,
inference(cnf,[status(esa)],[km4b_op_possibly]) ).
thf(zip_derived_cl165,plain,
! [X0: $i] :
( ( possibly @ X0 )
= ( not @ ( necessarily @ ( not @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl130,zip_derived_cl134]) ).
thf(zip_derived_cl13662,plain,
! [X0: $i] :
( ( possibly @ ( not @ X0 ) )
= ( not @ ( necessarily @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl13577,zip_derived_cl165]) ).
thf(zip_derived_cl14042,plain,
! [X0: $i] :
( ( possibly @ ( not @ ( necessarily @ X0 ) ) )
= ( not @ ( necessarily @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl9654,zip_derived_cl13662]) ).
thf(zip_derived_cl13662_019,plain,
! [X0: $i] :
( ( possibly @ ( not @ X0 ) )
= ( not @ ( necessarily @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl13577,zip_derived_cl165]) ).
thf(zip_derived_cl13662_020,plain,
! [X0: $i] :
( ( possibly @ ( not @ X0 ) )
= ( not @ ( necessarily @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl13577,zip_derived_cl165]) ).
thf(zip_derived_cl14045,plain,
! [X0: $i] :
( ( possibly @ ( possibly @ ( not @ X0 ) ) )
= ( possibly @ ( not @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14042,zip_derived_cl13662,zip_derived_cl13662]) ).
thf(zip_derived_cl15147,plain,
! [X0: $i] :
( ( possibly @ ( possibly @ X0 ) )
= ( possibly @ ( not @ ( not @ X0 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl13577,zip_derived_cl14045]) ).
thf(zip_derived_cl13577_021,plain,
! [X0: $i] :
( X0
= ( not @ ( not @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2054,zip_derived_cl13545]) ).
thf(zip_derived_cl15154,plain,
! [X0: $i] :
( ( possibly @ ( possibly @ X0 ) )
= ( possibly @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl15147,zip_derived_cl13577]) ).
thf(axiom_B,axiom,
( axiom_B
<=> ! [X: $i] : ( is_a_theorem @ ( implies @ X @ ( necessarily @ ( possibly @ X ) ) ) ) ) ).
thf(zip_derived_cl98,plain,
! [X0: $i] :
( ( is_a_theorem @ ( implies @ X0 @ ( necessarily @ ( possibly @ X0 ) ) ) )
| ~ axiom_B ),
inference(cnf,[status(esa)],[axiom_B]) ).
thf(km4b_axiom_B,axiom,
axiom_B ).
thf(zip_derived_cl139,plain,
axiom_B,
inference(cnf,[status(esa)],[km4b_axiom_B]) ).
thf(zip_derived_cl199,plain,
! [X0: $i] : ( is_a_theorem @ ( implies @ X0 @ ( necessarily @ ( possibly @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl98,zip_derived_cl139]) ).
thf(op_strict_implies,axiom,
( op_strict_implies
=> ! [X: $i,Y: $i] :
( ( strict_implies @ X @ Y )
= ( necessarily @ ( implies @ X @ Y ) ) ) ) ).
thf(zip_derived_cl132,plain,
! [X0: $i,X1: $i] :
( ( ( strict_implies @ X0 @ X1 )
= ( necessarily @ ( implies @ X0 @ X1 ) ) )
| ~ op_strict_implies ),
inference(cnf,[status(esa)],[op_strict_implies]) ).
thf(s1_0_op_strict_implies,axiom,
op_strict_implies ).
thf(zip_derived_cl143,plain,
op_strict_implies,
inference(cnf,[status(esa)],[s1_0_op_strict_implies]) ).
thf(zip_derived_cl203,plain,
! [X0: $i,X1: $i] :
( ( strict_implies @ X0 @ X1 )
= ( necessarily @ ( implies @ X0 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl132,zip_derived_cl143]) ).
thf(necessitation,axiom,
( necessitation
<=> ! [X: $i] :
( ( is_a_theorem @ X )
=> ( is_a_theorem @ ( necessarily @ X ) ) ) ) ).
thf(zip_derived_cl78,plain,
! [X0: $i] :
( ~ ( is_a_theorem @ X0 )
| ( is_a_theorem @ ( necessarily @ X0 ) )
| ~ necessitation ),
inference(cnf,[status(esa)],[necessitation]) ).
thf(km4b_necessitation,axiom,
necessitation ).
thf(zip_derived_cl135,plain,
necessitation,
inference(cnf,[status(esa)],[km4b_necessitation]) ).
thf(zip_derived_cl156,plain,
! [X0: $i] :
( ~ ( is_a_theorem @ X0 )
| ( is_a_theorem @ ( necessarily @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl78,zip_derived_cl135]) ).
thf(zip_derived_cl204,plain,
! [X0: $i,X1: $i] :
( ( is_a_theorem @ ( strict_implies @ X1 @ X0 ) )
| ~ ( is_a_theorem @ ( implies @ X1 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl203,zip_derived_cl156]) ).
thf(zip_derived_cl215,plain,
! [X0: $i] : ( is_a_theorem @ ( strict_implies @ X0 @ ( necessarily @ ( possibly @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl199,zip_derived_cl204]) ).
thf(zip_derived_cl15176,plain,
! [X0: $i] : ( is_a_theorem @ ( strict_implies @ ( possibly @ X0 ) @ ( necessarily @ ( possibly @ X0 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl15154,zip_derived_cl215]) ).
thf(zip_derived_cl22334,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl227,zip_derived_cl15176]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL549+1 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.MjhcG6FJm4 true
% 0.13/0.34 % Computer : n031.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Aug 25 01:06:21 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.19/0.64 % Total configuration time : 435
% 0.19/0.64 % Estimated wc time : 1092
% 0.19/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.19/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.19/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.19/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.19/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.19/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.19/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.19/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.31/0.77 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 1.31/0.77 % /export/starexec/sandbox/solver/bin/fo/fo17_bce.sh running for 50s
% 1.31/0.78 % /export/starexec/sandbox/solver/bin/fo/fo8.sh running for 50s
% 17.10/3.07 % Solved by fo/fo5.sh.
% 17.10/3.07 % done 2294 iterations in 2.297s
% 17.10/3.07 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 17.10/3.07 % SZS output start Refutation
% See solution above
% 17.10/3.07
% 17.10/3.07
% 17.10/3.07 % Terminating...
% 17.61/3.16 % Runner terminated.
% 17.61/3.17 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------