%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL490+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.2kkJY0uC2i true
% Computer : n009.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 01:36:04 PM UTC 2026
% Result : Theorem 3.22s 1.10s
% Output : Refutation 3.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 12
% Syntax : Number of formulae : 40 ( 21 unt; 0 typ; 0 def)
% Number of atoms : 66 ( 4 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 226 ( 21 ~; 18 |; 1 &; 179 @)
% ( 5 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 12 usr; 9 con; 0-2 aty)
% Number of variables : 56 ( 0 ^; 56 !; 0 ?; 56 :)
% Comments :
%------------------------------------------------------------------------------
thf(is_a_theorem_type,type,
is_a_theorem: $i > $o ).
thf(r2_type,type,
r2: $o ).
thf(sk__20_type,type,
sk__20: $i ).
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(sk__19_type,type,
sk__19: $i ).
thf(modus_ponens_type,type,
modus_ponens: $o ).
thf(r5_type,type,
r5: $o ).
thf(or_1_type,type,
or_1: $o ).
thf(implies_type,type,
implies: $i > $i > $i ).
thf(not_type,type,
not: $i > $i ).
thf(or_1,axiom,
( or_1
<=> ! [X: $i,Y: $i] : ( is_a_theorem @ ( implies @ X @ ( or @ X @ Y ) ) ) ) ).
thf(zip_derived_cl22,plain,
( or_1
| ~ ( is_a_theorem @ ( implies @ sk__19 @ ( or @ sk__19 @ sk__20 ) ) ) ),
inference(cnf,[status(esa)],[or_1]) ).
thf(hilbert_or_1,conjecture,
or_1 ).
thf(zf_stmt_0,negated_conjecture,
~ or_1,
inference('cnf.neg',[status(esa)],[hilbert_or_1]) ).
thf(zip_derived_cl73,plain,
~ or_1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl363,plain,
~ ( is_a_theorem @ ( implies @ sk__19 @ ( or @ sk__19 @ sk__20 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl22,zip_derived_cl73]) ).
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(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_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_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_cl361,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(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_cl509,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( is_a_theorem @ ( implies @ X2 @ X0 ) )
| ( is_a_theorem @ ( implies @ ( or @ X1 @ X2 ) @ ( or @ X1 @ X0 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl361,zip_derived_cl365]) ).
thf(zip_derived_cl516,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( is_a_theorem @ ( implies @ X2 @ X0 ) )
| ( is_a_theorem @ ( implies @ ( or @ ( not @ X1 ) @ X2 ) @ ( implies @ X1 @ X0 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl337,zip_derived_cl509]) ).
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_cl518,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( is_a_theorem @ ( implies @ X2 @ X0 ) )
| ( is_a_theorem @ ( implies @ ( implies @ X1 @ X2 ) @ ( implies @ X1 @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl516,zip_derived_cl337]) ).
thf(zip_derived_cl365_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_cl3327,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( is_a_theorem @ ( implies @ X2 @ X0 ) )
| ~ ( is_a_theorem @ ( implies @ X1 @ X2 ) )
| ( is_a_theorem @ ( implies @ X1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl518,zip_derived_cl365]) ).
thf(zip_derived_cl3389,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( is_a_theorem @ ( implies @ X2 @ ( or @ X0 @ X1 ) ) )
| ( is_a_theorem @ ( implies @ X2 @ ( or @ X1 @ X0 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl359,zip_derived_cl3327]) ).
thf(zip_derived_cl3403,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ X0 @ ( or @ X0 @ X1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl358,zip_derived_cl3389]) ).
thf(zip_derived_cl3447,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl363,zip_derived_cl3403]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL490+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% 0.00/0.04 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.2kkJY0uC2i true
% 0.10/0.36 % Computer : n009.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sat Sep 5 13:37:36 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 % Running portfolio for 300 s
% 0.10/0.37 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Number of cores: 8
% 0.13/0.37 % Python version: Python 3.12.3
% 0.13/0.37 % Running in FO mode
% 0.37/0.60 % Total configuration time : 435
% 0.37/0.60 % Estimated wc time : 1092
% 0.37/0.60 % Estimated cpu time (7 cpus) : 156.0
% 0.40/0.66 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.41/0.73 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.41/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.41/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.41/0.74 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.41/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.41/0.74 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.41/0.77 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 3.22/1.10 % Solved by fo/fo6_bce.sh.
% 3.22/1.10 % BCE start: 74
% 3.22/1.10 % BCE eliminated: 0
% 3.22/1.10 % PE start: 74
% 3.22/1.10 logic: eq
% 3.22/1.10 % PE eliminated: 42
% 3.22/1.10 % done 382 iterations in 0.415s
% 3.22/1.10 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 3.22/1.10 % SZS output start Refutation
% See solution above
% 3.22/1.10
% 3.22/1.10
% 3.22/1.10 % Terminating...
% 1.83/1.15 % Runner terminated.
% 1.83/1.17 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------