TSTP Solution File: LCL539+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL539+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.elotlRiky2 true
% Computer : n028.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 0.20s 0.82s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 39
% Syntax : Number of formulae : 97 ( 39 unt; 19 typ; 0 def)
% Number of atoms : 131 ( 20 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 359 ( 42 ~; 39 |; 1 &; 264 @)
% ( 7 <=>; 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 : 21 ( 19 usr; 13 con; 0-2 aty)
% Number of variables : 84 ( 0 ^; 84 !; 0 ?; 84 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__60_type,type,
sk__60: $i ).
thf(axiom_M_type,type,
axiom_M: $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(op_equiv_type,type,
op_equiv: $o ).
thf(strict_implies_type,type,
strict_implies: $i > $i > $i ).
thf(op_strict_implies_type,type,
op_strict_implies: $o ).
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(and_2_type,type,
and_2: $o ).
thf(modus_ponens_type,type,
modus_ponens: $o ).
thf(substitution_strict_equiv_type,type,
substitution_strict_equiv: $o ).
thf(op_strict_equiv_type,type,
op_strict_equiv: $o ).
thf(implies_type,type,
implies: $i > $i > $i ).
thf(substitution_of_equivalents_type,type,
substitution_of_equivalents: $o ).
thf(sk__61_type,type,
sk__61: $i ).
thf(strict_equiv_type,type,
strict_equiv: $i > $i > $i ).
thf(substitution_strict_equiv,axiom,
( substitution_strict_equiv
<=> ! [X: $i,Y: $i] :
( ( is_a_theorem @ ( strict_equiv @ X @ Y ) )
=> ( X = Y ) ) ) ).
thf(zip_derived_cl91,plain,
( substitution_strict_equiv
| ( is_a_theorem @ ( strict_equiv @ sk__60 @ sk__61 ) ) ),
inference(cnf,[status(esa)],[substitution_strict_equiv]) ).
thf(s1_0_substitution_strict_equiv,conjecture,
substitution_strict_equiv ).
thf(zf_stmt_0,negated_conjecture,
~ substitution_strict_equiv,
inference('cnf.neg',[status(esa)],[s1_0_substitution_strict_equiv]) ).
thf(zip_derived_cl146,plain,
~ substitution_strict_equiv,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl720,plain,
is_a_theorem @ ( strict_equiv @ sk__60 @ sk__61 ),
inference(demod,[status(thm)],[zip_derived_cl91,zip_derived_cl146]) ).
thf(s1_0_op_strict_equiv,axiom,
op_strict_equiv ).
thf(zip_derived_cl145,plain,
op_strict_equiv,
inference(cnf,[status(esa)],[s1_0_op_strict_equiv]) ).
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(zip_derived_cl659,plain,
! [X0: $i,X1: $i] :
( ( strict_equiv @ X1 @ X0 )
= ( and @ ( strict_implies @ X1 @ X0 ) @ ( strict_implies @ X0 @ X1 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl145,zip_derived_cl133]) ).
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_cl695,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(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_cl718,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_cl761,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ ( and @ X0 @ X1 ) )
| ( is_a_theorem @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl695,zip_derived_cl718]) ).
thf(zip_derived_cl765,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ ( strict_equiv @ X1 @ X0 ) )
| ( is_a_theorem @ ( strict_implies @ X1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl659,zip_derived_cl761]) ).
thf(zip_derived_cl771,plain,
is_a_theorem @ ( strict_implies @ sk__60 @ sk__61 ),
inference('s_sup-',[status(thm)],[zip_derived_cl720,zip_derived_cl765]) ).
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(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(zip_derived_cl658,plain,
! [X0: $i,X1: $i] :
( ( strict_implies @ X1 @ X0 )
= ( necessarily @ ( implies @ X1 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl143,zip_derived_cl132]) ).
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_cl689,plain,
! [X0: $i] : ( is_a_theorem @ ( implies @ ( necessarily @ X0 ) @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl137,zip_derived_cl94]) ).
thf(zip_derived_cl718_001,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_cl735,plain,
! [X0: $i] :
( ~ ( is_a_theorem @ ( necessarily @ X0 ) )
| ( is_a_theorem @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl689,zip_derived_cl718]) ).
thf(zip_derived_cl737,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ ( strict_implies @ X1 @ X0 ) )
| ( is_a_theorem @ ( implies @ X1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl658,zip_derived_cl735]) ).
thf(zip_derived_cl772,plain,
is_a_theorem @ ( implies @ sk__60 @ sk__61 ),
inference('s_sup-',[status(thm)],[zip_derived_cl771,zip_derived_cl737]) ).
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_cl697,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_cl718_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_cl815,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ X1 )
| ( is_a_theorem @ ( implies @ X0 @ ( and @ X1 @ X0 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl697,zip_derived_cl718]) ).
thf(zip_derived_cl718_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_cl842,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_cl815,zip_derived_cl718]) ).
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_cl688,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_cl707,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_cl745,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ ( is_a_theorem @ ( and @ ( implies @ X0 @ X1 ) @ ( implies @ X1 @ X0 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl688,zip_derived_cl707]) ).
thf(zip_derived_cl852,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_cl842,zip_derived_cl745]) ).
thf(zip_derived_cl873,plain,
( ~ ( is_a_theorem @ ( implies @ sk__61 @ sk__60 ) )
| ( sk__61 = sk__60 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl772,zip_derived_cl852]) ).
thf(zip_derived_cl720_005,plain,
is_a_theorem @ ( strict_equiv @ sk__60 @ sk__61 ),
inference(demod,[status(thm)],[zip_derived_cl91,zip_derived_cl146]) ).
thf(zip_derived_cl659_006,plain,
! [X0: $i,X1: $i] :
( ( strict_equiv @ X1 @ X0 )
= ( and @ ( strict_implies @ X1 @ X0 ) @ ( strict_implies @ X0 @ X1 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl145,zip_derived_cl133]) ).
thf(hilbert_and_2,axiom,
and_2 ).
thf(zip_derived_cl69,plain,
and_2,
inference(cnf,[status(esa)],[hilbert_and_2]) ).
thf(and_2,axiom,
( and_2
<=> ! [X: $i,Y: $i] : ( is_a_theorem @ ( implies @ ( and @ X @ Y ) @ Y ) ) ) ).
thf(zip_derived_cl17,plain,
! [X0: $i,X1: $i] :
( ( is_a_theorem @ ( implies @ ( and @ X0 @ X1 ) @ X1 ) )
| ~ and_2 ),
inference(cnf,[status(esa)],[and_2]) ).
thf(zip_derived_cl696,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ ( and @ X1 @ X0 ) @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl69,zip_derived_cl17]) ).
thf(zip_derived_cl718_007,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_cl778,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ ( and @ X1 @ X0 ) )
| ( is_a_theorem @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl696,zip_derived_cl718]) ).
thf(zip_derived_cl782,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ ( strict_equiv @ X1 @ X0 ) )
| ( is_a_theorem @ ( strict_implies @ X0 @ X1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl659,zip_derived_cl778]) ).
thf(zip_derived_cl784,plain,
is_a_theorem @ ( strict_implies @ sk__61 @ sk__60 ),
inference('s_sup-',[status(thm)],[zip_derived_cl720,zip_derived_cl782]) ).
thf(zip_derived_cl737_008,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ ( strict_implies @ X1 @ X0 ) )
| ( is_a_theorem @ ( implies @ X1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl658,zip_derived_cl735]) ).
thf(zip_derived_cl786,plain,
is_a_theorem @ ( implies @ sk__61 @ sk__60 ),
inference('s_sup-',[status(thm)],[zip_derived_cl784,zip_derived_cl737]) ).
thf(zip_derived_cl878,plain,
sk__61 = sk__60,
inference(demod,[status(thm)],[zip_derived_cl873,zip_derived_cl786]) ).
thf(zip_derived_cl90,plain,
( substitution_strict_equiv
| ( sk__60 != sk__61 ) ),
inference(cnf,[status(esa)],[substitution_strict_equiv]) ).
thf(zip_derived_cl146_009,plain,
~ substitution_strict_equiv,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl719,plain,
sk__60 != sk__61,
inference(demod,[status(thm)],[zip_derived_cl90,zip_derived_cl146]) ).
thf(zip_derived_cl879,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl878,zip_derived_cl719]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL539+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.elotlRiky2 true
% 0.13/0.34 % Computer : n028.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 03:33:06 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % 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
% 0.20/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.20/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 0.20/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo17_bce.sh running for 50s
% 0.20/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo8.sh running for 50s
% 0.20/0.82 % Solved by fo/fo6_bce.sh.
% 0.20/0.82 % BCE start: 147
% 0.20/0.82 % BCE eliminated: 4
% 0.20/0.82 % PE start: 143
% 0.20/0.82 logic: eq
% 0.20/0.82 % PE eliminated: 81
% 0.20/0.82 % done 106 iterations in 0.069s
% 0.20/0.82 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.20/0.82 % SZS output start Refutation
% See solution above
% 0.20/0.82
% 0.20/0.82
% 0.20/0.82 % Terminating...
% 1.85/0.95 % Runner terminated.
% 1.86/0.96 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------