TSTP Solution File: LCL535+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL535+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.dr94cN7EWQ true
% Computer : n025.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 09:00:06 EDT 2023
% Result : Theorem 8.80s 1.89s
% Output : Refutation 8.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 71
% Syntax : Number of formulae : 197 ( 97 unt; 32 typ; 0 def)
% Number of atoms : 250 ( 49 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 836 ( 64 ~; 61 |; 1 &; 687 @)
% ( 14 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 16 ( 16 >; 0 *; 0 +; 0 <<)
% Number of symbols : 34 ( 32 usr; 23 con; 0-2 aty)
% Number of variables : 187 ( 0 ^; 187 !; 0 ?; 187 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__92_type,type,
sk__92: $i ).
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(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(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(axiom_m9_type,type,
axiom_m9: $o ).
thf(and_3_type,type,
and_3: $o ).
thf(modus_ponens_type,type,
modus_ponens: $o ).
thf(op_strict_equiv_type,type,
op_strict_equiv: $o ).
thf(possibly_type,type,
possibly: $i > $i ).
thf(sk__43_type,type,
sk__43: $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(strict_equiv_type,type,
strict_equiv: $i > $i > $i ).
thf(axiom_m9,axiom,
( axiom_m9
<=> ! [X: $i] : ( is_a_theorem @ ( strict_implies @ ( possibly @ ( possibly @ X ) ) @ ( possibly @ X ) ) ) ) ).
thf(zip_derived_cl127,plain,
( axiom_m9
| ~ ( is_a_theorem @ ( strict_implies @ ( possibly @ ( possibly @ sk__92 ) ) @ ( possibly @ sk__92 ) ) ) ),
inference(cnf,[status(esa)],[axiom_m9]) ).
thf(s1_0_m6s3m9b_axiom_m9,conjecture,
axiom_m9 ).
thf(zf_stmt_0,negated_conjecture,
~ axiom_m9,
inference('cnf.neg',[status(esa)],[s1_0_m6s3m9b_axiom_m9]) ).
thf(zip_derived_cl145,plain,
~ axiom_m9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl220,plain,
~ ( is_a_theorem @ ( strict_implies @ ( possibly @ ( possibly @ sk__92 ) ) @ ( possibly @ sk__92 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl127,zip_derived_cl145]) ).
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_cl165,plain,
! [X0: $i] :
( ( possibly @ X0 )
= ( not @ ( necessarily @ ( not @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl130,zip_derived_cl134]) ).
thf(zip_derived_cl165_001,plain,
! [X0: $i] :
( ( possibly @ X0 )
= ( not @ ( necessarily @ ( not @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl130,zip_derived_cl134]) ).
thf(zip_derived_cl165_002,plain,
! [X0: $i] :
( ( possibly @ X0 )
= ( not @ ( necessarily @ ( not @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl130,zip_derived_cl134]) ).
thf(zip_derived_cl166,plain,
! [X0: $i] :
( ( possibly @ ( necessarily @ ( not @ X0 ) ) )
= ( not @ ( necessarily @ ( possibly @ X0 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl165,zip_derived_cl165]) ).
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_cl260,plain,
! [X0: $i] : ( is_a_theorem @ ( implies @ ( possibly @ X0 ) @ ( necessarily @ ( possibly @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl100,zip_derived_cl138]) ).
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_cl338,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(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_cl293,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(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_cl146,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_cl294,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ X1 )
| ( is_a_theorem @ ( implies @ X0 @ ( and @ X1 @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl293,zip_derived_cl146]) ).
thf(zip_derived_cl146_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_cl1193,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_cl294,zip_derived_cl146]) ).
thf(zip_derived_cl1219,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_cl338,zip_derived_cl1193]) ).
thf(zip_derived_cl1373,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_cl260,zip_derived_cl1219]) ).
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_cl157,plain,
! [X0: $i] : ( is_a_theorem @ ( implies @ ( necessarily @ X0 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl94,zip_derived_cl137]) ).
thf(zip_derived_cl1383,plain,
! [X0: $i] : ( is_a_theorem @ ( equiv @ ( necessarily @ ( possibly @ X0 ) ) @ ( possibly @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1373,zip_derived_cl157]) ).
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_cl154,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_cl7577,plain,
! [X0: $i] :
( ( necessarily @ ( possibly @ X0 ) )
= ( possibly @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1383,zip_derived_cl154]) ).
thf(zip_derived_cl7618,plain,
! [X0: $i] :
( ( possibly @ ( necessarily @ ( not @ X0 ) ) )
= ( not @ ( possibly @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl166,zip_derived_cl7577]) ).
thf(zip_derived_cl7751,plain,
! [X0: $i] :
( ( possibly @ ( necessarily @ ( possibly @ X0 ) ) )
= ( not @ ( possibly @ ( necessarily @ ( not @ X0 ) ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl165,zip_derived_cl7618]) ).
thf(zip_derived_cl7577_005,plain,
! [X0: $i] :
( ( necessarily @ ( possibly @ X0 ) )
= ( possibly @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1383,zip_derived_cl154]) ).
thf(zip_derived_cl7618_006,plain,
! [X0: $i] :
( ( possibly @ ( necessarily @ ( not @ X0 ) ) )
= ( not @ ( possibly @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl166,zip_derived_cl7577]) ).
thf(zip_derived_cl7761,plain,
! [X0: $i] :
( ( possibly @ ( possibly @ X0 ) )
= ( not @ ( not @ ( possibly @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7751,zip_derived_cl7577,zip_derived_cl7618]) ).
thf(zip_derived_cl293_007,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_cl203,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(zip_derived_cl146_008,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_cl204,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_cl203,zip_derived_cl146]) ).
thf(zip_derived_cl296,plain,
! [X0: $i] : ( is_a_theorem @ ( implies @ X0 @ ( and @ X0 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl293,zip_derived_cl204]) ).
thf(zip_derived_cl1219_009,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_cl338,zip_derived_cl1193]) ).
thf(zip_derived_cl1349,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_cl296,zip_derived_cl1219]) ).
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_cl1380,plain,
! [X0: $i] : ( is_a_theorem @ ( equiv @ ( and @ X0 @ X0 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1349,zip_derived_cl170]) ).
thf(zip_derived_cl154_010,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_cl1519,plain,
! [X0: $i] :
( ( and @ X0 @ X0 )
= X0 ),
inference('sup-',[status(thm)],[zip_derived_cl1380,zip_derived_cl154]) ).
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_cl314,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_cl1561,plain,
! [X0: $i] :
( ( or @ X0 @ X0 )
= ( not @ ( not @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1519,zip_derived_cl314]) ).
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_cl314_011,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_cl242,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_cl326,plain,
! [X0: $i,X1: $i] :
( ( implies @ ( not @ X1 ) @ X0 )
= ( or @ X1 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl314,zip_derived_cl242]) ).
thf(zip_derived_cl347,plain,
! [X0: $i] :
( ( is_a_theorem @ ( implies @ ( or @ X0 @ X0 ) @ X0 ) )
| ~ cn3 ),
inference(demod,[status(thm)],[zip_derived_cl43,zip_derived_cl326]) ).
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_cl326_012,plain,
! [X0: $i,X1: $i] :
( ( implies @ ( not @ X1 ) @ X0 )
= ( or @ X1 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl314,zip_derived_cl242]) ).
thf(zip_derived_cl348,plain,
( cn3
| ~ ( is_a_theorem @ ( implies @ ( or @ sk__43 @ sk__43 ) @ sk__43 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl44,zip_derived_cl326]) ).
thf(zip_derived_cl1561_013,plain,
! [X0: $i] :
( ( or @ X0 @ X0 )
= ( not @ ( not @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1519,zip_derived_cl314]) ).
thf(zip_derived_cl326_014,plain,
! [X0: $i,X1: $i] :
( ( implies @ ( not @ X1 ) @ X0 )
= ( or @ X1 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl314,zip_derived_cl242]) ).
thf(zip_derived_cl3835,plain,
( cn3
| ~ ( is_a_theorem @ ( or @ ( not @ sk__43 ) @ sk__43 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl348,zip_derived_cl1561,zip_derived_cl326]) ).
thf(zip_derived_cl1561_015,plain,
! [X0: $i] :
( ( or @ X0 @ X0 )
= ( not @ ( not @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1519,zip_derived_cl314]) ).
thf(zip_derived_cl326_016,plain,
! [X0: $i,X1: $i] :
( ( implies @ ( not @ X1 ) @ X0 )
= ( or @ X1 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl314,zip_derived_cl242]) ).
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_cl192,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_cl378,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( or @ X0 @ ( or @ X1 @ ( not @ X0 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl326,zip_derived_cl192]) ).
thf(zip_derived_cl3896,plain,
! [X0: $i] : ( is_a_theorem @ ( or @ X0 @ ( not @ ( not @ ( not @ X0 ) ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1561,zip_derived_cl378]) ).
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_cl146_017,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_cl146]) ).
thf(zip_derived_cl326_018,plain,
! [X0: $i,X1: $i] :
( ( implies @ ( not @ X1 ) @ X0 )
= ( or @ X1 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl314,zip_derived_cl242]) ).
thf(zip_derived_cl350,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_cl326]) ).
thf(zip_derived_cl9215,plain,
! [X0: $i] : ( is_a_theorem @ ( implies @ ( not @ ( not @ X0 ) ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl3896,zip_derived_cl350]) ).
thf(zip_derived_cl326_019,plain,
! [X0: $i,X1: $i] :
( ( implies @ ( not @ X1 ) @ X0 )
= ( or @ X1 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl314,zip_derived_cl242]) ).
thf(zip_derived_cl9267,plain,
! [X0: $i] : ( is_a_theorem @ ( or @ ( not @ X0 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl9215,zip_derived_cl326]) ).
thf(zip_derived_cl9268,plain,
cn3,
inference(demod,[status(thm)],[zip_derived_cl3835,zip_derived_cl9267]) ).
thf(zip_derived_cl9309,plain,
! [X0: $i] : ( is_a_theorem @ ( implies @ ( or @ X0 @ X0 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl347,zip_derived_cl9268]) ).
thf(zip_derived_cl1219_020,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_cl338,zip_derived_cl1193]) ).
thf(zip_derived_cl9490,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_cl9309,zip_derived_cl1219]) ).
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_cl190,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_cl9521,plain,
! [X0: $i] : ( is_a_theorem @ ( equiv @ X0 @ ( or @ X0 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9490,zip_derived_cl190]) ).
thf(zip_derived_cl154_021,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_cl9753,plain,
! [X0: $i] :
( X0
= ( or @ X0 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl9521,zip_derived_cl154]) ).
thf(zip_derived_cl9781,plain,
! [X0: $i] :
( X0
= ( not @ ( not @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1561,zip_derived_cl9753]) ).
thf(zip_derived_cl9852,plain,
! [X0: $i] :
( ( possibly @ ( possibly @ X0 ) )
= ( possibly @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl7761,zip_derived_cl9781]) ).
thf(zip_derived_cl1519_022,plain,
! [X0: $i] :
( ( and @ X0 @ X0 )
= X0 ),
inference('sup-',[status(thm)],[zip_derived_cl1380,zip_derived_cl154]) ).
thf(op_strict_equiv,axiom,
( op_strict_equiv
=> ! [X: $i,Y: $i] :
( ( strict_equiv @ X @ Y )
= ( and @ ( strict_implies @ X @ Y ) @ ( strict_implies @ Y @ X ) ) ) ) ).
thf(zip_derived_cl133,plain,
! [X0: $i,X1: $i] :
( ( ( strict_equiv @ X0 @ X1 )
= ( and @ ( strict_implies @ X0 @ X1 ) @ ( strict_implies @ X1 @ X0 ) ) )
| ~ op_strict_equiv ),
inference(cnf,[status(esa)],[op_strict_equiv]) ).
thf(s1_0_op_strict_equiv,axiom,
op_strict_equiv ).
thf(zip_derived_cl144,plain,
op_strict_equiv,
inference(cnf,[status(esa)],[s1_0_op_strict_equiv]) ).
thf(zip_derived_cl400,plain,
! [X0: $i,X1: $i] :
( ( strict_equiv @ X0 @ X1 )
= ( and @ ( strict_implies @ X0 @ X1 ) @ ( strict_implies @ X1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl133,zip_derived_cl144]) ).
thf(zip_derived_cl1565,plain,
! [X0: $i] :
( ( strict_equiv @ X0 @ X0 )
= ( strict_implies @ X0 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl1519,zip_derived_cl400]) ).
thf(zip_derived_cl400_023,plain,
! [X0: $i,X1: $i] :
( ( strict_equiv @ X0 @ X1 )
= ( and @ ( strict_implies @ X0 @ X1 ) @ ( strict_implies @ X1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl133,zip_derived_cl144]) ).
thf(zip_derived_cl296_024,plain,
! [X0: $i] : ( is_a_theorem @ ( implies @ X0 @ ( and @ X0 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl293,zip_derived_cl204]) ).
thf(zip_derived_cl146_025,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_cl419,plain,
! [X0: $i] :
( ~ ( is_a_theorem @ X0 )
| ( is_a_theorem @ ( and @ X0 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl296,zip_derived_cl146]) ).
thf(zip_derived_cl438,plain,
! [X0: $i] :
( ( is_a_theorem @ ( strict_equiv @ X0 @ X0 ) )
| ~ ( is_a_theorem @ ( strict_implies @ X0 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl400,zip_derived_cl419]) ).
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_cl204_026,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_cl203,zip_derived_cl146]) ).
thf(zip_derived_cl283,plain,
! [X0: $i] : ( is_a_theorem @ ( implies @ X0 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl168,zip_derived_cl204]) ).
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_cl142,plain,
op_strict_implies,
inference(cnf,[status(esa)],[s1_0_op_strict_implies]) ).
thf(zip_derived_cl199,plain,
! [X0: $i,X1: $i] :
( ( strict_implies @ X0 @ X1 )
= ( necessarily @ ( implies @ X0 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl132,zip_derived_cl142]) ).
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(km5_necessitation,axiom,
necessitation ).
thf(zip_derived_cl135,plain,
necessitation,
inference(cnf,[status(esa)],[km5_necessitation]) ).
thf(zip_derived_cl155,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_cl200,plain,
! [X0: $i,X1: $i] :
( ( is_a_theorem @ ( strict_implies @ X1 @ X0 ) )
| ~ ( is_a_theorem @ ( implies @ X1 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl199,zip_derived_cl155]) ).
thf(zip_derived_cl286,plain,
! [X0: $i] : ( is_a_theorem @ ( strict_implies @ X0 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl283,zip_derived_cl200]) ).
thf(zip_derived_cl440,plain,
! [X0: $i] : ( is_a_theorem @ ( strict_equiv @ X0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl438,zip_derived_cl286]) ).
thf(zip_derived_cl9954,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl220,zip_derived_cl9852,zip_derived_cl1565,zip_derived_cl440]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL535+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.dr94cN7EWQ true
% 0.13/0.34 % Computer : n025.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 06:02:52 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
% 0.13/0.34 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.20/0.35 % Running in FO mode
% 0.20/0.65 % Total configuration time : 435
% 0.20/0.65 % Estimated wc time : 1092
% 0.20/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.69 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 1.13/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 1.13/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.13/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.13/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.13/0.74 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.13/0.74 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.13/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 1.13/0.76 % /export/starexec/sandbox/solver/bin/fo/fo17_bce.sh running for 50s
% 1.13/0.77 % /export/starexec/sandbox/solver/bin/fo/fo8.sh running for 50s
% 8.80/1.89 % Solved by fo/fo5.sh.
% 8.80/1.89 % done 1124 iterations in 1.124s
% 8.80/1.89 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 8.80/1.89 % SZS output start Refutation
% See solution above
% 8.80/1.89
% 8.80/1.89
% 8.80/1.89 % Terminating...
% 9.46/1.99 % Runner terminated.
% 9.46/2.01 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------