TSTP Solution File: LCL456+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL456+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.YIfdeg1ops true
% Computer : n024.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 08:59:48 EDT 2023
% Result : Theorem 1.36s 0.78s
% Output : Refutation 1.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 25
% Syntax : Number of formulae : 58 ( 33 unt; 13 typ; 0 def)
% Number of atoms : 57 ( 22 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 248 ( 12 ~; 6 |; 0 &; 224 @)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 13 usr; 9 con; 0-2 aty)
% Number of variables : 52 ( 0 ^; 52 !; 0 ?; 52 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__47_type,type,
sk__47: $i ).
thf(op_or_type,type,
op_or: $o ).
thf(op_and_type,type,
op_and: $o ).
thf(and_type,type,
and: $i > $i > $i ).
thf(is_a_theorem_type,type,
is_a_theorem: $i > $o ).
thf(modus_tollens_type,type,
modus_tollens: $o ).
thf(op_implies_and_type,type,
op_implies_and: $o ).
thf(or_type,type,
or: $i > $i > $i ).
thf(op_implies_or_type,type,
op_implies_or: $o ).
thf(sk__48_type,type,
sk__48: $i ).
thf(r3_type,type,
r3: $o ).
thf(implies_type,type,
implies: $i > $i > $i ).
thf(not_type,type,
not: $i > $i ).
thf(r3,axiom,
( r3
<=> ! [P: $i,Q: $i] : ( is_a_theorem @ ( implies @ ( or @ P @ Q ) @ ( or @ Q @ P ) ) ) ) ).
thf(zip_derived_cl50,plain,
( r3
| ~ ( is_a_theorem @ ( implies @ ( or @ sk__47 @ sk__48 ) @ ( or @ sk__48 @ sk__47 ) ) ) ),
inference(cnf,[status(esa)],[r3]) ).
thf(principia_r3,conjecture,
r3 ).
thf(zf_stmt_0,negated_conjecture,
~ r3,
inference('cnf.neg',[status(esa)],[principia_r3]) ).
thf(zip_derived_cl81,plain,
~ r3,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl387,plain,
~ ( is_a_theorem @ ( implies @ ( or @ sk__47 @ sk__48 ) @ ( or @ sk__48 @ sk__47 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl50,zip_derived_cl81]) ).
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_cl358,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_cl358_001,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_cl392,plain,
~ ( is_a_theorem @ ( implies @ ( not @ ( and @ ( not @ sk__47 ) @ ( not @ sk__48 ) ) ) @ ( not @ ( and @ ( not @ sk__48 ) @ ( not @ sk__47 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl387,zip_derived_cl358,zip_derived_cl358]) ).
thf(principia_op_and,axiom,
op_and ).
thf(zip_derived_cl79,plain,
op_and,
inference(cnf,[status(esa)],[principia_op_and]) ).
thf(op_and,axiom,
( op_and
=> ! [X: $i,Y: $i] :
( ( and @ X @ Y )
= ( not @ ( or @ ( not @ X ) @ ( not @ Y ) ) ) ) ) ).
thf(zip_derived_cl56,plain,
! [X0: $i,X1: $i] :
( ( ( and @ X0 @ X1 )
= ( not @ ( or @ ( not @ X0 ) @ ( not @ X1 ) ) ) )
| ~ op_and ),
inference(cnf,[status(esa)],[op_and]) ).
thf(zip_derived_cl359,plain,
! [X0: $i,X1: $i] :
( ( and @ X1 @ X0 )
= ( not @ ( or @ ( not @ X1 ) @ ( not @ X0 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl79,zip_derived_cl56]) ).
thf(principia_op_implies_or,axiom,
op_implies_or ).
thf(zip_derived_cl78,plain,
op_implies_or,
inference(cnf,[status(esa)],[principia_op_implies_or]) ).
thf(op_implies_or,axiom,
( op_implies_or
=> ! [X: $i,Y: $i] :
( ( implies @ X @ Y )
= ( or @ ( not @ X ) @ Y ) ) ) ).
thf(zip_derived_cl58,plain,
! [X0: $i,X1: $i] :
( ( ( implies @ X0 @ X1 )
= ( or @ ( not @ X0 ) @ X1 ) )
| ~ op_implies_or ),
inference(cnf,[status(esa)],[op_implies_or]) ).
thf(zip_derived_cl361,plain,
! [X0: $i,X1: $i] :
( ( implies @ X1 @ X0 )
= ( or @ ( not @ X1 ) @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl78,zip_derived_cl58]) ).
thf(zip_derived_cl412,plain,
! [X0: $i,X1: $i] :
( ( and @ X1 @ X0 )
= ( not @ ( implies @ X1 @ ( not @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl359,zip_derived_cl361]) ).
thf(zip_derived_cl412_002,plain,
! [X0: $i,X1: $i] :
( ( and @ X1 @ X0 )
= ( not @ ( implies @ X1 @ ( not @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl359,zip_derived_cl361]) ).
thf(zip_derived_cl358_003,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(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_cl360,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_cl406,plain,
! [X0: $i,X1: $i] :
( ( or @ X1 @ X0 )
= ( implies @ ( not @ X1 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl358,zip_derived_cl360]) ).
thf(zip_derived_cl361_004,plain,
! [X0: $i,X1: $i] :
( ( implies @ X1 @ X0 )
= ( or @ ( not @ X1 ) @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl78,zip_derived_cl58]) ).
thf(zip_derived_cl418,plain,
! [X0: $i,X1: $i] :
( ( implies @ X1 @ X0 )
= ( implies @ ( not @ ( not @ X1 ) ) @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl406,zip_derived_cl361]) ).
thf(zip_derived_cl460,plain,
~ ( is_a_theorem @ ( implies @ ( implies @ ( not @ sk__47 ) @ ( not @ ( not @ sk__48 ) ) ) @ ( not @ ( not @ ( implies @ ( not @ sk__48 ) @ ( not @ ( not @ sk__47 ) ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl392,zip_derived_cl412,zip_derived_cl412,zip_derived_cl418]) ).
thf(zip_derived_cl360_005,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_cl412_006,plain,
! [X0: $i,X1: $i] :
( ( and @ X1 @ X0 )
= ( not @ ( implies @ X1 @ ( not @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl359,zip_derived_cl361]) ).
thf(zip_derived_cl413,plain,
! [X0: $i,X1: $i] :
( ( implies @ X1 @ X0 )
= ( not @ ( not @ ( implies @ X1 @ ( not @ ( not @ X0 ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl360,zip_derived_cl412]) ).
thf(zip_derived_cl489,plain,
~ ( is_a_theorem @ ( implies @ ( implies @ ( not @ sk__47 ) @ ( not @ ( not @ sk__48 ) ) ) @ ( implies @ ( not @ sk__48 ) @ sk__47 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl460,zip_derived_cl413]) ).
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_cl373,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_cl539,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl489,zip_derived_cl373]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : LCL456+1 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.YIfdeg1ops true
% 0.13/0.35 % Computer : n024.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri Aug 25 01:24:39 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % 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
% 0.13/0.36 % Running in FO mode
% 0.21/0.65 % Total configuration time : 435
% 0.21/0.65 % Estimated wc time : 1092
% 0.21/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.71 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.36/0.78 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 1.36/0.78 % Solved by fo/fo3_bce.sh.
% 1.36/0.78 % BCE start: 82
% 1.36/0.78 % BCE eliminated: 0
% 1.36/0.78 % PE start: 82
% 1.36/0.78 logic: eq
% 1.36/0.78 % PE eliminated: 50
% 1.36/0.78 % done 75 iterations in 0.051s
% 1.36/0.78 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.36/0.78 % SZS output start Refutation
% See solution above
% 1.36/0.78
% 1.36/0.78
% 1.36/0.78 % Terminating...
% 1.48/0.86 % Runner terminated.
% 1.48/0.87 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------