%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL494+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.FDjEOCgvRg true
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Sep 7 01:36:05 PM UTC 2026
% Result : Theorem 0.50s 0.86s
% Output : Refutation 0.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 18
% Syntax : Number of formulae : 60 ( 40 unt; 0 typ; 0 def)
% Number of atoms : 85 ( 22 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 297 ( 17 ~; 14 |; 1 &; 255 @)
% ( 4 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 19 ( 17 usr; 12 con; 0-2 aty)
% Number of variables : 78 ( 0 ^; 78 !; 0 ?; 78 :)
% 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(r2_type,type,
r2: $o ).
thf(op_equiv_type,type,
op_equiv: $o ).
thf(sk__29_type,type,
sk__29: $i ).
thf(equivalence_2_type,type,
equivalence_2: $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(r3_type,type,
r3: $o ).
thf(equiv_type,type,
equiv: $i > $i > $i ).
thf(modus_ponens_type,type,
modus_ponens: $o ).
thf(sk__28_type,type,
sk__28: $i ).
thf(implies_type,type,
implies: $i > $i > $i ).
thf(not_type,type,
not: $i > $i ).
thf(equivalence_2,axiom,
( equivalence_2
<=> ! [X: $i,Y: $i] : ( is_a_theorem @ ( implies @ ( equiv @ X @ Y ) @ ( implies @ Y @ X ) ) ) ) ).
thf(zip_derived_cl30,plain,
( equivalence_2
| ~ ( is_a_theorem @ ( implies @ ( equiv @ sk__28 @ sk__29 ) @ ( implies @ sk__29 @ sk__28 ) ) ) ),
inference(cnf,[status(esa)],[equivalence_2]) ).
thf(hilbert_equivalence_2,conjecture,
equivalence_2 ).
thf(zf_stmt_0,negated_conjecture,
~ equivalence_2,
inference('cnf.neg',[status(esa)],[hilbert_equivalence_2]) ).
thf(zip_derived_cl73,plain,
~ equivalence_2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl363,plain,
~ ( is_a_theorem @ ( implies @ ( equiv @ sk__28 @ sk__29 ) @ ( implies @ sk__29 @ sk__28 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl30,zip_derived_cl73]) ).
thf(principia_op_equiv,axiom,
op_equiv ).
thf(zip_derived_cl62,plain,
op_equiv,
inference(cnf,[status(esa)],[principia_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_cl356,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(hilbert_op_implies_and,axiom,
op_implies_and ).
thf(zip_derived_cl71,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_cl336,plain,
! [X0: $i,X1: $i] :
( ( implies @ X1 @ X0 )
= ( not @ ( and @ X1 @ ( not @ X0 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl71,zip_derived_cl57]) ).
thf(hilbert_op_or,axiom,
op_or ).
thf(zip_derived_cl70,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_cl334,plain,
! [X0: $i,X1: $i] :
( ( or @ X1 @ X0 )
= ( not @ ( and @ ( not @ X1 ) @ ( not @ X0 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl70,zip_derived_cl55]) ).
thf(zip_derived_cl391,plain,
! [X0: $i,X1: $i] :
( ( or @ X1 @ X0 )
= ( implies @ ( not @ X1 ) @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl336,zip_derived_cl334]) ).
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_cl337,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_r2,axiom,
r2 ).
thf(zip_derived_cl65,plain,
r2,
inference(cnf,[status(esa)],[principia_r2]) ).
thf(r2,axiom,
( r2
<=> ! [P: $i,Q: $i] : ( is_a_theorem @ ( implies @ Q @ ( or @ P @ Q ) ) ) ) ).
thf(zip_derived_cl47,plain,
! [X0: $i,X1: $i] :
( ( is_a_theorem @ ( implies @ X0 @ ( or @ X1 @ X0 ) ) )
| ~ r2 ),
inference(cnf,[status(esa)],[r2]) ).
thf(zip_derived_cl358,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ X0 @ ( or @ X1 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl65,zip_derived_cl47]) ).
thf(zip_derived_cl383,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ X0 @ ( implies @ X1 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl337,zip_derived_cl358]) ).
thf(zip_derived_cl421,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( or @ X0 @ ( implies @ X1 @ ( not @ X0 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl391,zip_derived_cl383]) ).
thf(principia_r3,axiom,
r3 ).
thf(zip_derived_cl66,plain,
r3,
inference(cnf,[status(esa)],[principia_r3]) ).
thf(r3,axiom,
( r3
<=> ! [P: $i,Q: $i] : ( is_a_theorem @ ( implies @ ( or @ P @ Q ) @ ( or @ Q @ P ) ) ) ) ).
thf(zip_derived_cl49,plain,
! [X0: $i,X1: $i] :
( ( is_a_theorem @ ( implies @ ( or @ X0 @ X1 ) @ ( or @ X1 @ X0 ) ) )
| ~ r3 ),
inference(cnf,[status(esa)],[r3]) ).
thf(zip_derived_cl359,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ ( or @ X0 @ X1 ) @ ( or @ X1 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl66,zip_derived_cl49]) ).
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_cl365,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_cl404,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ ( or @ X0 @ X1 ) )
| ( is_a_theorem @ ( or @ X1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl359,zip_derived_cl365]) ).
thf(zip_derived_cl644,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( or @ ( implies @ X1 @ ( not @ X0 ) ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl421,zip_derived_cl404]) ).
thf(principia_op_and,axiom,
op_and ).
thf(zip_derived_cl61,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_cl335,plain,
! [X0: $i,X1: $i] :
( ( and @ X1 @ X0 )
= ( not @ ( or @ ( not @ X1 ) @ ( not @ X0 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl61,zip_derived_cl56]) ).
thf(zip_derived_cl337_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_cl375,plain,
! [X0: $i,X1: $i] :
( ( and @ X1 @ X0 )
= ( not @ ( implies @ X1 @ ( not @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl335,zip_derived_cl337]) ).
thf(zip_derived_cl334_002,plain,
! [X0: $i,X1: $i] :
( ( or @ X1 @ X0 )
= ( not @ ( and @ ( not @ X1 ) @ ( not @ X0 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl70,zip_derived_cl55]) ).
thf(zip_derived_cl378,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( or @ ( implies @ X1 @ ( not @ X0 ) ) @ X2 )
= ( not @ ( and @ ( and @ X1 @ X0 ) @ ( not @ X2 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl375,zip_derived_cl334]) ).
thf(zip_derived_cl336_003,plain,
! [X0: $i,X1: $i] :
( ( implies @ X1 @ X0 )
= ( not @ ( and @ X1 @ ( not @ X0 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl71,zip_derived_cl57]) ).
thf(zip_derived_cl862,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( or @ ( implies @ X1 @ ( not @ X0 ) ) @ X2 )
= ( implies @ ( and @ X1 @ X0 ) @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl378,zip_derived_cl336]) ).
thf(zip_derived_cl863,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ ( and @ X1 @ X0 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl644,zip_derived_cl862]) ).
thf(zip_derived_cl912,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ ( equiv @ X1 @ X0 ) @ ( implies @ X0 @ X1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl356,zip_derived_cl863]) ).
thf(zip_derived_cl960,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl363,zip_derived_cl912]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL494+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% 0.00/0.05 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.FDjEOCgvRg true
% 0.11/0.37 % Computer : n008.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Fri Sep 4 19:02:38 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 % Running portfolio for 300 s
% 0.11/0.37 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.38 % Number of cores: 8
% 0.11/0.38 % Python version: Python 3.12.3
% 0.11/0.38 % Running in FO mode
% 0.47/0.68 % Total configuration time : 435
% 0.47/0.68 % Estimated wc time : 1092
% 0.47/0.68 % Estimated cpu time (7 cpus) : 156.0
% 0.50/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.50/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.50/0.82 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.50/0.82 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.50/0.82 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.50/0.82 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.50/0.82 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.50/0.85 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 0.50/0.86 % Solved by fo/fo6_bce.sh.
% 0.50/0.86 % BCE start: 74
% 0.50/0.86 % BCE eliminated: 0
% 0.50/0.86 % PE start: 74
% 0.50/0.86 logic: eq
% 0.50/0.86 % PE eliminated: 42
% 0.50/0.86 % done 117 iterations in 0.096s
% 0.50/0.86 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.50/0.86 % SZS output start Refutation
% See solution above
% 0.50/0.86
% 0.50/0.86
% 0.50/0.86 % Terminating...
% 1.65/0.90 % Runner terminated.
% 1.65/0.91 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------