TSTP Solution File: LCL537+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL537+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.aZzSsyAyyj true
% Computer : n002.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 09:00:07 EDT 2023
% Result : Theorem 15.03s 2.71s
% Output : Refutation 15.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 57
% Syntax : Number of formulae : 149 ( 76 unt; 25 typ; 0 def)
% Number of atoms : 186 ( 41 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 616 ( 46 ~; 43 |; 1 &; 508 @)
% ( 12 <=>; 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 : 27 ( 25 usr; 18 con; 0-2 aty)
% Number of variables : 142 ( 0 ^; 142 !; 0 ?; 142 :)
% 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(modus_tollens_type,type,
modus_tollens: $o ).
thf(implies_1_type,type,
implies_1: $o ).
thf(op_equiv_type,type,
op_equiv: $o ).
thf(sk__67_type,type,
sk__67: $i ).
thf(op_implies_and_type,type,
op_implies_and: $o ).
thf(or_type,type,
or: $i > $i > $i ).
thf(and_1_type,type,
and_1: $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(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_5,axiom,
( axiom_5
<=> ! [X: $i] : ( is_a_theorem @ ( implies @ ( possibly @ X ) @ ( necessarily @ ( possibly @ X ) ) ) ) ) ).
thf(zip_derived_cl101,plain,
( axiom_5
| ~ ( is_a_theorem @ ( implies @ ( possibly @ sk__67 ) @ ( necessarily @ ( possibly @ sk__67 ) ) ) ) ),
inference(cnf,[status(esa)],[axiom_5]) ).
thf(km5_axiom_5,conjecture,
axiom_5 ).
thf(zf_stmt_0,negated_conjecture,
~ axiom_5,
inference('cnf.neg',[status(esa)],[km5_axiom_5]) ).
thf(zip_derived_cl140,plain,
~ axiom_5,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl684,plain,
~ ( is_a_theorem @ ( implies @ ( possibly @ sk__67 ) @ ( necessarily @ ( possibly @ sk__67 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl101,zip_derived_cl140]) ).
thf(km4b_op_possibly,axiom,
op_possibly ).
thf(zip_derived_cl134,plain,
op_possibly,
inference(cnf,[status(esa)],[km4b_op_possibly]) ).
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(zip_derived_cl637,plain,
! [X0: $i] :
( ( possibly @ X0 )
= ( not @ ( necessarily @ ( not @ X0 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl134,zip_derived_cl130]) ).
thf(hilbert_and_3,axiom,
and_3 ).
thf(zip_derived_cl70,plain,
and_3,
inference(cnf,[status(esa)],[hilbert_and_3]) ).
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(zip_derived_cl674,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ X1 @ ( implies @ X0 @ ( and @ X1 @ X0 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl70,zip_derived_cl19]) ).
thf(hilbert_implies_2,axiom,
implies_2 ).
thf(zip_derived_cl66,plain,
implies_2,
inference(cnf,[status(esa)],[hilbert_implies_2]) ).
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(zip_derived_cl671,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ ( implies @ X1 @ ( implies @ X1 @ X0 ) ) @ ( implies @ X1 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl66,zip_derived_cl11]) ).
thf(hilbert_modus_ponens,axiom,
modus_ponens ).
thf(zip_derived_cl63,plain,
modus_ponens,
inference(cnf,[status(esa)],[hilbert_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_cl695,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_cl847,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ ( implies @ X1 @ ( implies @ X1 @ X0 ) ) )
| ( is_a_theorem @ ( implies @ X1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl671,zip_derived_cl695]) ).
thf(zip_derived_cl856,plain,
! [X0: $i] : ( is_a_theorem @ ( implies @ X0 @ ( and @ X0 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl674,zip_derived_cl847]) ).
thf(zip_derived_cl674_001,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ X1 @ ( implies @ X0 @ ( and @ X1 @ X0 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl70,zip_derived_cl19]) ).
thf(zip_derived_cl695_002,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_cl790,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ X1 )
| ( is_a_theorem @ ( implies @ X0 @ ( and @ X1 @ X0 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl674,zip_derived_cl695]) ).
thf(zip_derived_cl695_003,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_cl833,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ X1 )
| ~ ( is_a_theorem @ X0 )
| ( is_a_theorem @ ( and @ X1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl790,zip_derived_cl695]) ).
thf(hilbert_op_equiv,axiom,
op_equiv ).
thf(zip_derived_cl62,plain,
op_equiv,
inference(cnf,[status(esa)],[hilbert_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_cl640,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(substitution_of_equivalents,axiom,
substitution_of_equivalents ).
thf(zip_derived_cl77,plain,
substitution_of_equivalents,
inference(cnf,[status(esa)],[substitution_of_equivalents]) ).
thf(substitution_of_equivalents_004,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(zip_derived_cl688,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ~ ( is_a_theorem @ ( equiv @ X1 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl77,zip_derived_cl4]) ).
thf(zip_derived_cl730,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ ( is_a_theorem @ ( and @ ( implies @ X0 @ X1 ) @ ( implies @ X1 @ X0 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl640,zip_derived_cl688]) ).
thf(zip_derived_cl932,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ ( implies @ X1 @ X0 ) )
| ~ ( is_a_theorem @ ( implies @ X0 @ X1 ) )
| ( X0 = X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl833,zip_derived_cl730]) ).
thf(zip_derived_cl938,plain,
! [X0: $i] :
( ~ ( is_a_theorem @ ( implies @ ( and @ X0 @ X0 ) @ X0 ) )
| ( ( and @ X0 @ X0 )
= X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl856,zip_derived_cl932]) ).
thf(hilbert_and_1,axiom,
and_1 ).
thf(zip_derived_cl68,plain,
and_1,
inference(cnf,[status(esa)],[hilbert_and_1]) ).
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(zip_derived_cl672,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ ( and @ X0 @ X1 ) @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl68,zip_derived_cl15]) ).
thf(zip_derived_cl959,plain,
! [X0: $i] :
( ( and @ X0 @ X0 )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl938,zip_derived_cl672]) ).
thf(hilbert_op_or,axiom,
op_or ).
thf(zip_derived_cl60,plain,
op_or,
inference(cnf,[status(esa)],[hilbert_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_cl638,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_cl978,plain,
! [X0: $i] :
( ( or @ X0 @ X0 )
= ( not @ ( not @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl959,zip_derived_cl638]) ).
thf(zip_derived_cl637_005,plain,
! [X0: $i] :
( ( possibly @ X0 )
= ( not @ ( necessarily @ ( not @ X0 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl134,zip_derived_cl130]) ).
thf(zip_derived_cl988,plain,
! [X0: $i] :
( ( possibly @ ( not @ X0 ) )
= ( not @ ( necessarily @ ( or @ X0 @ X0 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl978,zip_derived_cl637]) ).
thf(zip_derived_cl959_006,plain,
! [X0: $i] :
( ( and @ X0 @ X0 )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl938,zip_derived_cl672]) ).
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(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_cl639,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_cl974,plain,
! [X0: $i] :
( ( implies @ ( not @ X0 ) @ X0 )
= ( not @ ( not @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl959,zip_derived_cl639]) ).
thf(zip_derived_cl978_007,plain,
! [X0: $i] :
( ( or @ X0 @ X0 )
= ( not @ ( not @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl959,zip_derived_cl638]) ).
thf(hilbert_or_1,axiom,
or_1 ).
thf(zip_derived_cl71,plain,
or_1,
inference(cnf,[status(esa)],[hilbert_or_1]) ).
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(zip_derived_cl675,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ X1 @ ( or @ X1 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl71,zip_derived_cl21]) ).
thf(zip_derived_cl1004,plain,
! [X0: $i] : ( is_a_theorem @ ( implies @ X0 @ ( not @ ( not @ X0 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl978,zip_derived_cl675]) ).
thf(zip_derived_cl1113,plain,
! [X0: $i] : ( is_a_theorem @ ( implies @ ( not @ X0 ) @ ( not @ ( implies @ ( not @ X0 ) @ X0 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl974,zip_derived_cl1004]) ).
thf(zip_derived_cl639_008,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_cl638_009,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_cl715,plain,
! [X0: $i,X1: $i] :
( ( or @ X1 @ X0 )
= ( implies @ ( not @ X1 ) @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl639,zip_derived_cl638]) ).
thf(zip_derived_cl715_010,plain,
! [X0: $i,X1: $i] :
( ( or @ X1 @ X0 )
= ( implies @ ( not @ X1 ) @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl639,zip_derived_cl638]) ).
thf(zip_derived_cl1119,plain,
! [X0: $i] : ( is_a_theorem @ ( or @ X0 @ ( not @ ( or @ X0 @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1113,zip_derived_cl715,zip_derived_cl715]) ).
thf(hilbert_modus_tollens,axiom,
modus_tollens ).
thf(zip_derived_cl64,plain,
modus_tollens,
inference(cnf,[status(esa)],[hilbert_modus_tollens]) ).
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(zip_derived_cl669,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ ( implies @ ( not @ X0 ) @ ( not @ X1 ) ) @ ( implies @ X1 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl64,zip_derived_cl7]) ).
thf(zip_derived_cl715_011,plain,
! [X0: $i,X1: $i] :
( ( or @ X1 @ X0 )
= ( implies @ ( not @ X1 ) @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl639,zip_derived_cl638]) ).
thf(zip_derived_cl895,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ ( or @ X0 @ ( not @ X1 ) ) @ ( implies @ X1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl669,zip_derived_cl715]) ).
thf(zip_derived_cl695_012,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_cl896,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ ( or @ X0 @ ( not @ X1 ) ) )
| ( is_a_theorem @ ( implies @ X1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl895,zip_derived_cl695]) ).
thf(zip_derived_cl14911,plain,
! [X0: $i] : ( is_a_theorem @ ( implies @ ( or @ X0 @ X0 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1119,zip_derived_cl896]) ).
thf(zip_derived_cl715_013,plain,
! [X0: $i,X1: $i] :
( ( or @ X1 @ X0 )
= ( implies @ ( not @ X1 ) @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl639,zip_derived_cl638]) ).
thf(hilbert_implies_1,axiom,
implies_1 ).
thf(zip_derived_cl65,plain,
implies_1,
inference(cnf,[status(esa)],[hilbert_implies_1]) ).
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(zip_derived_cl670,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ X0 @ ( implies @ X1 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl65,zip_derived_cl9]) ).
thf(zip_derived_cl720,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ X0 @ ( or @ X1 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl715,zip_derived_cl670]) ).
thf(zip_derived_cl932_014,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ ( implies @ X1 @ X0 ) )
| ~ ( is_a_theorem @ ( implies @ X0 @ X1 ) )
| ( X0 = X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl833,zip_derived_cl730]) ).
thf(zip_derived_cl940,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ ( implies @ ( or @ X1 @ X0 ) @ X0 ) )
| ( ( or @ X1 @ X0 )
= X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl720,zip_derived_cl932]) ).
thf(zip_derived_cl14972,plain,
! [X0: $i] :
( ( or @ X0 @ X0 )
= X0 ),
inference('s_sup-',[status(thm)],[zip_derived_cl14911,zip_derived_cl940]) ).
thf(zip_derived_cl15009,plain,
! [X0: $i] :
( ( possibly @ ( not @ X0 ) )
= ( not @ ( necessarily @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl988,zip_derived_cl14972]) ).
thf(zip_derived_cl15322,plain,
! [X0: $i] :
( ( possibly @ ( possibly @ X0 ) )
= ( not @ ( necessarily @ ( necessarily @ ( not @ X0 ) ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl637,zip_derived_cl15009]) ).
thf(km4b_axiom_4,axiom,
axiom_4 ).
thf(zip_derived_cl138,plain,
axiom_4,
inference(cnf,[status(esa)],[km4b_axiom_4]) ).
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(zip_derived_cl667,plain,
! [X0: $i] : ( is_a_theorem @ ( implies @ ( necessarily @ X0 ) @ ( necessarily @ ( necessarily @ X0 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl138,zip_derived_cl96]) ).
thf(zip_derived_cl932_015,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ ( implies @ X1 @ X0 ) )
| ~ ( is_a_theorem @ ( implies @ X0 @ X1 ) )
| ( X0 = X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl833,zip_derived_cl730]) ).
thf(zip_derived_cl956,plain,
! [X0: $i] :
( ~ ( is_a_theorem @ ( implies @ ( necessarily @ ( necessarily @ X0 ) ) @ ( necessarily @ X0 ) ) )
| ( ( necessarily @ ( necessarily @ X0 ) )
= ( necessarily @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl667,zip_derived_cl932]) ).
thf(km4b_axiom_M,axiom,
axiom_M ).
thf(zip_derived_cl137,plain,
axiom_M,
inference(cnf,[status(esa)],[km4b_axiom_M]) ).
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(zip_derived_cl666,plain,
! [X0: $i] : ( is_a_theorem @ ( implies @ ( necessarily @ X0 ) @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl137,zip_derived_cl94]) ).
thf(zip_derived_cl963,plain,
! [X0: $i] :
( ( necessarily @ ( necessarily @ X0 ) )
= ( necessarily @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl956,zip_derived_cl666]) ).
thf(zip_derived_cl637_016,plain,
! [X0: $i] :
( ( possibly @ X0 )
= ( not @ ( necessarily @ ( not @ X0 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl134,zip_derived_cl130]) ).
thf(zip_derived_cl15323,plain,
! [X0: $i] :
( ( possibly @ ( possibly @ X0 ) )
= ( possibly @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl15322,zip_derived_cl963,zip_derived_cl637]) ).
thf(km4b_axiom_B,axiom,
axiom_B ).
thf(zip_derived_cl139,plain,
axiom_B,
inference(cnf,[status(esa)],[km4b_axiom_B]) ).
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(zip_derived_cl668,plain,
! [X0: $i] : ( is_a_theorem @ ( implies @ X0 @ ( necessarily @ ( possibly @ X0 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl139,zip_derived_cl98]) ).
thf(zip_derived_cl15347,plain,
! [X0: $i] : ( is_a_theorem @ ( implies @ ( possibly @ X0 ) @ ( necessarily @ ( possibly @ X0 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl15323,zip_derived_cl668]) ).
thf(zip_derived_cl15505,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl684,zip_derived_cl15347]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL537+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.aZzSsyAyyj true
% 0.14/0.35 % Computer : n002.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 07:49:17 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
% 0.20/0.63 % Total configuration time : 435
% 0.20/0.63 % Estimated wc time : 1092
% 0.20/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.20/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 1.36/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo17_bce.sh running for 50s
% 1.36/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo8.sh running for 50s
% 15.03/2.71 % Solved by fo/fo6_bce.sh.
% 15.03/2.71 % BCE start: 141
% 15.03/2.71 % BCE eliminated: 5
% 15.03/2.71 % PE start: 136
% 15.03/2.71 logic: eq
% 15.03/2.71 % PE eliminated: 77
% 15.03/2.71 % done 1107 iterations in 1.984s
% 15.03/2.71 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 15.03/2.71 % SZS output start Refutation
% See solution above
% 15.03/2.71
% 15.03/2.71
% 15.03/2.71 % Terminating...
% 15.03/2.75 % Runner terminated.
% 15.03/2.76 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------