TSTP Solution File: LCL496+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL496+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.4GMzKfm4Je true
% Computer : n029.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 08:59:57 EDT 2023
% Result : Theorem 1.37s 1.07s
% Output : Refutation 1.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 22
% Syntax : Number of formulae : 52 ( 28 unt; 12 typ; 0 def)
% Number of atoms : 57 ( 8 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 274 ( 13 ~; 10 |; 1 &; 244 @)
% ( 4 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 12 usr; 9 con; 0-2 aty)
% Number of variables : 67 ( 0 ^; 67 !; 0 ?; 67 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__39_type,type,
sk__39: $i ).
thf(is_a_theorem_type,type,
is_a_theorem: $i > $o ).
thf(sk__40_type,type,
sk__40: $i ).
thf(cn1_type,type,
cn1: $o ).
thf(or_type,type,
or: $i > $i > $i ).
thf(op_implies_or_type,type,
op_implies_or: $o ).
thf(modus_ponens_type,type,
modus_ponens: $o ).
thf(sk__38_type,type,
sk__38: $i ).
thf(r5_type,type,
r5: $o ).
thf(r4_type,type,
r4: $o ).
thf(implies_type,type,
implies: $i > $i > $i ).
thf(not_type,type,
not: $i > $i ).
thf(cn1,axiom,
( cn1
<=> ! [P: $i,Q: $i,R: $i] : ( is_a_theorem @ ( implies @ ( implies @ P @ Q ) @ ( implies @ ( implies @ Q @ R ) @ ( implies @ P @ R ) ) ) ) ) ).
thf(zip_derived_cl40,plain,
( cn1
| ~ ( is_a_theorem @ ( implies @ ( implies @ sk__38 @ sk__39 ) @ ( implies @ ( implies @ sk__39 @ sk__40 ) @ ( implies @ sk__38 @ sk__40 ) ) ) ) ),
inference(cnf,[status(esa)],[cn1]) ).
thf(luka_cn1,conjecture,
cn1 ).
thf(zf_stmt_0,negated_conjecture,
~ cn1,
inference('cnf.neg',[status(esa)],[luka_cn1]) ).
thf(zip_derived_cl73,plain,
~ cn1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl358,plain,
~ ( is_a_theorem @ ( implies @ ( implies @ sk__38 @ sk__39 ) @ ( implies @ ( implies @ sk__39 @ sk__40 ) @ ( implies @ sk__38 @ sk__40 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl40,zip_derived_cl73]) ).
thf(principia_op_implies_or,axiom,
op_implies_or ).
thf(zip_derived_cl60,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_cl332,plain,
! [X0: $i,X1: $i] :
( ( implies @ X1 @ X0 )
= ( or @ ( not @ X1 ) @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl60,zip_derived_cl58]) ).
thf(principia_r5,axiom,
r5 ).
thf(zip_derived_cl68,plain,
r5,
inference(cnf,[status(esa)],[principia_r5]) ).
thf(r5,axiom,
( r5
<=> ! [P: $i,Q: $i,R: $i] : ( is_a_theorem @ ( implies @ ( implies @ Q @ R ) @ ( implies @ ( or @ P @ Q ) @ ( or @ P @ R ) ) ) ) ) ).
thf(zip_derived_cl53,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( is_a_theorem @ ( implies @ ( implies @ X0 @ X1 ) @ ( implies @ ( or @ X2 @ X0 ) @ ( or @ X2 @ X1 ) ) ) )
| ~ r5 ),
inference(cnf,[status(esa)],[r5]) ).
thf(zip_derived_cl356,plain,
! [X0: $i,X1: $i,X2: $i] : ( is_a_theorem @ ( implies @ ( implies @ X2 @ X0 ) @ ( implies @ ( or @ X1 @ X2 ) @ ( or @ X1 @ X0 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl68,zip_derived_cl53]) ).
thf(zip_derived_cl471,plain,
! [X0: $i,X1: $i,X2: $i] : ( is_a_theorem @ ( implies @ ( implies @ X2 @ X0 ) @ ( implies @ ( or @ ( not @ X1 ) @ X2 ) @ ( implies @ X1 @ X0 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl332,zip_derived_cl356]) ).
thf(zip_derived_cl332_001,plain,
! [X0: $i,X1: $i] :
( ( implies @ X1 @ X0 )
= ( or @ ( not @ X1 ) @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl60,zip_derived_cl58]) ).
thf(zip_derived_cl473,plain,
! [X0: $i,X1: $i,X2: $i] : ( is_a_theorem @ ( implies @ ( implies @ X2 @ X0 ) @ ( implies @ ( implies @ X1 @ X2 ) @ ( implies @ X1 @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl471,zip_derived_cl332]) ).
thf(zip_derived_cl332_002,plain,
! [X0: $i,X1: $i] :
( ( implies @ X1 @ X0 )
= ( or @ ( not @ X1 ) @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl60,zip_derived_cl58]) ).
thf(zip_derived_cl332_003,plain,
! [X0: $i,X1: $i] :
( ( implies @ X1 @ X0 )
= ( or @ ( not @ X1 ) @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl60,zip_derived_cl58]) ).
thf(principia_r4,axiom,
r4 ).
thf(zip_derived_cl67,plain,
r4,
inference(cnf,[status(esa)],[principia_r4]) ).
thf(r4,axiom,
( r4
<=> ! [P: $i,Q: $i,R: $i] : ( is_a_theorem @ ( implies @ ( or @ P @ ( or @ Q @ R ) ) @ ( or @ Q @ ( or @ P @ R ) ) ) ) ) ).
thf(zip_derived_cl51,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( is_a_theorem @ ( implies @ ( or @ X0 @ ( or @ X1 @ X2 ) ) @ ( or @ X1 @ ( or @ X0 @ X2 ) ) ) )
| ~ r4 ),
inference(cnf,[status(esa)],[r4]) ).
thf(zip_derived_cl355,plain,
! [X0: $i,X1: $i,X2: $i] : ( is_a_theorem @ ( implies @ ( or @ X1 @ ( or @ X2 @ X0 ) ) @ ( or @ X2 @ ( or @ X1 @ X0 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl67,zip_derived_cl51]) ).
thf(zip_derived_cl455,plain,
! [X0: $i,X1: $i,X2: $i] : ( is_a_theorem @ ( implies @ ( or @ X1 @ ( or @ ( not @ X2 ) @ X0 ) ) @ ( implies @ X2 @ ( or @ X1 @ X0 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl332,zip_derived_cl355]) ).
thf(zip_derived_cl332_004,plain,
! [X0: $i,X1: $i] :
( ( implies @ X1 @ X0 )
= ( or @ ( not @ X1 ) @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl60,zip_derived_cl58]) ).
thf(zip_derived_cl459,plain,
! [X0: $i,X1: $i,X2: $i] : ( is_a_theorem @ ( implies @ ( or @ X1 @ ( implies @ X2 @ X0 ) ) @ ( implies @ X2 @ ( or @ X1 @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl455,zip_derived_cl332]) ).
thf(zip_derived_cl1285,plain,
! [X0: $i,X1: $i,X2: $i] : ( is_a_theorem @ ( implies @ ( or @ ( not @ X1 ) @ ( implies @ X2 @ X0 ) ) @ ( implies @ X2 @ ( implies @ X1 @ X0 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl332,zip_derived_cl459]) ).
thf(zip_derived_cl332_005,plain,
! [X0: $i,X1: $i] :
( ( implies @ X1 @ X0 )
= ( or @ ( not @ X1 ) @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl60,zip_derived_cl58]) ).
thf(zip_derived_cl1291,plain,
! [X0: $i,X1: $i,X2: $i] : ( is_a_theorem @ ( implies @ ( implies @ X1 @ ( implies @ X2 @ X0 ) ) @ ( implies @ X2 @ ( implies @ X1 @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1285,zip_derived_cl332]) ).
thf(principia_modus_ponens,axiom,
modus_ponens ).
thf(zip_derived_cl63,plain,
modus_ponens,
inference(cnf,[status(esa)],[principia_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_cl360,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_cl1323,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( is_a_theorem @ ( implies @ X1 @ ( implies @ X2 @ X0 ) ) )
| ( is_a_theorem @ ( implies @ X2 @ ( implies @ X1 @ X0 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1291,zip_derived_cl360]) ).
thf(zip_derived_cl1579,plain,
! [X0: $i,X1: $i,X2: $i] : ( is_a_theorem @ ( implies @ ( implies @ X1 @ X2 ) @ ( implies @ ( implies @ X2 @ X0 ) @ ( implies @ X1 @ X0 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl473,zip_derived_cl1323]) ).
thf(zip_derived_cl1633,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl358,zip_derived_cl1579]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LCL496+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.15 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.4GMzKfm4Je true
% 0.15/0.36 % Computer : n029.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu Aug 24 17:59:38 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % Running portfolio for 300 s
% 0.15/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.36 % Number of cores: 8
% 0.15/0.37 % Python version: Python 3.6.8
% 0.15/0.37 % Running in FO mode
% 0.22/0.67 % Total configuration time : 435
% 0.22/0.67 % Estimated wc time : 1092
% 0.22/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.75 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.75 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.73/0.77 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.73/0.78 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.73/0.78 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.73/0.79 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.73/0.80 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.73/0.83 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 1.37/1.07 % Solved by fo/fo6_bce.sh.
% 1.37/1.07 % BCE start: 74
% 1.37/1.07 % BCE eliminated: 2
% 1.37/1.07 % PE start: 72
% 1.37/1.07 logic: eq
% 1.37/1.07 % PE eliminated: 41
% 1.37/1.07 % done 297 iterations in 0.285s
% 1.37/1.07 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.37/1.07 % SZS output start Refutation
% See solution above
% 1.37/1.07
% 1.37/1.07
% 1.37/1.07 % Terminating...
% 1.67/1.18 % Runner terminated.
% 1.67/1.18 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------