TSTP Solution File: LCL454+1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL454+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.BbGsBZ5lDI true
% Computer : n015.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 1.43s 0.90s
% Output : Refutation 1.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 33
% Syntax : Number of formulae : 80 ( 43 unt; 15 typ; 0 def)
% Number of atoms : 93 ( 21 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 353 ( 22 ~; 17 |; 1 &; 303 @)
% ( 5 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 15 usr; 11 con; 0-2 aty)
% Number of variables : 79 ( 0 ^; 79 !; 0 ?; 79 :)
% Comments :
%------------------------------------------------------------------------------
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(r1_type,type,
r1: $o ).
thf(sk__44_type,type,
sk__44: $i ).
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(and_3_type,type,
and_3: $o ).
thf(modus_ponens_type,type,
modus_ponens: $o ).
thf(implies_type,type,
implies: $i > $i > $i ).
thf(implies_2_type,type,
implies_2: $o ).
thf(not_type,type,
not: $i > $i ).
thf(r1,axiom,
( r1
<=> ! [P: $i] : ( is_a_theorem @ ( implies @ ( or @ P @ P ) @ P ) ) ) ).
thf(zip_derived_cl46,plain,
( r1
| ~ ( is_a_theorem @ ( implies @ ( or @ sk__44 @ sk__44 ) @ sk__44 ) ) ),
inference(cnf,[status(esa)],[r1]) ).
thf(principia_r1,conjecture,
r1 ).
thf(zf_stmt_0,negated_conjecture,
~ r1,
inference('cnf.neg',[status(esa)],[principia_r1]) ).
thf(zip_derived_cl81,plain,
~ r1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl98,plain,
~ ( is_a_theorem @ ( implies @ ( or @ sk__44 @ sk__44 ) @ sk__44 ) ),
inference(clc,[status(thm)],[zip_derived_cl46,zip_derived_cl81]) ).
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_cl115,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_cl117,plain,
~ ( is_a_theorem @ ( implies @ ( not @ ( and @ ( not @ sk__44 ) @ ( not @ sk__44 ) ) ) @ sk__44 ) ),
inference(demod,[status(thm)],[zip_derived_cl98,zip_derived_cl115]) ).
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_cl121,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_cl128,plain,
~ ( is_a_theorem @ ( implies @ ( implies @ ( not @ sk__44 ) @ sk__44 ) @ sk__44 ) ),
inference(demod,[status(thm)],[zip_derived_cl117,zip_derived_cl121]) ).
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_cl143,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(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(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(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(zip_derived_cl111,plain,
! [X0: $i,X1: $i] :
( ( implies @ X0 @ X1 )
= ( or @ ( not @ X0 ) @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl58,zip_derived_cl78]) ).
thf(principia_op_and,axiom,
op_and ).
thf(zip_derived_cl79,plain,
op_and,
inference(cnf,[status(esa)],[principia_op_and]) ).
thf(zip_derived_cl176,plain,
! [X0: $i,X1: $i] :
( ( and @ X0 @ X1 )
= ( not @ ( implies @ X0 @ ( not @ X1 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl56,zip_derived_cl111,zip_derived_cl79]) ).
thf(zip_derived_cl185,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ X0 @ ( implies @ X1 @ ( not @ ( implies @ X0 @ ( not @ X1 ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl143,zip_derived_cl176]) ).
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_cl197,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_cl89,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_cl198,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_cl197,zip_derived_cl89]) ).
thf(zip_derived_cl616,plain,
! [X0: $i] : ( is_a_theorem @ ( implies @ X0 @ ( not @ ( implies @ X0 @ ( not @ X0 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl185,zip_derived_cl198]) ).
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_cl192,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_cl89_001,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_cl193,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_cl192,zip_derived_cl89]) ).
thf(zip_derived_cl683,plain,
! [X0: $i] : ( is_a_theorem @ ( implies @ ( implies @ ( not @ X0 ) @ ( not @ ( not @ X0 ) ) ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl616,zip_derived_cl193]) ).
thf(zip_derived_cl121_002,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_cl176_003,plain,
! [X0: $i,X1: $i] :
( ( and @ X0 @ X1 )
= ( not @ ( implies @ X0 @ ( not @ X1 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl56,zip_derived_cl111,zip_derived_cl79]) ).
thf(zip_derived_cl183,plain,
! [X0: $i,X1: $i] :
( ( implies @ X0 @ X1 )
= ( not @ ( not @ ( implies @ X0 @ ( not @ ( not @ X1 ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl121,zip_derived_cl176]) ).
thf(zip_derived_cl115_004,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_cl121_005,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_cl122,plain,
! [X0: $i,X1: $i] :
( ( or @ X0 @ X1 )
= ( implies @ ( not @ X0 ) @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl115,zip_derived_cl121]) ).
thf(zip_derived_cl111_006,plain,
! [X0: $i,X1: $i] :
( ( implies @ X0 @ X1 )
= ( or @ ( not @ X0 ) @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl58,zip_derived_cl78]) ).
thf(zip_derived_cl129,plain,
! [X0: $i,X1: $i] :
( ( implies @ X1 @ X0 )
= ( implies @ ( not @ ( not @ X1 ) ) @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl122,zip_derived_cl111]) ).
thf(zip_derived_cl291,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( implies @ ( implies @ X1 @ ( not @ ( not @ X0 ) ) ) @ X2 )
= ( implies @ ( implies @ X1 @ X0 ) @ X2 ) ),
inference('sup+',[status(thm)],[zip_derived_cl183,zip_derived_cl129]) ).
thf(zip_derived_cl693,plain,
! [X0: $i] : ( is_a_theorem @ ( implies @ ( implies @ ( not @ X0 ) @ X0 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl683,zip_derived_cl291]) ).
thf(zip_derived_cl695,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl128,zip_derived_cl693]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL454+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.BbGsBZ5lDI true
% 0.13/0.34 % Computer : n015.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 05:01:36 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
% 0.13/0.35 % 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
% 0.20/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.31/0.81 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 1.43/0.90 % Solved by fo/fo7.sh.
% 1.43/0.90 % done 241 iterations in 0.120s
% 1.43/0.90 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.43/0.90 % SZS output start Refutation
% See solution above
% 1.43/0.90
% 1.43/0.90
% 1.43/0.90 % Terminating...
% 1.62/0.96 % Runner terminated.
% 1.62/0.97 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------