%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL531+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.BVlt1t9axg true
% Computer : n001.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 01:36:09 PM UTC 2026
% Result : Theorem 0.44s 0.91s
% Output : Refutation 0.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 12
% Syntax : Number of formulae : 36 ( 20 unt; 0 typ; 0 def)
% Number of atoms : 59 ( 3 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 166 ( 17 ~; 14 |; 1 &; 126 @)
% ( 5 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 12 usr; 8 con; 0-2 aty)
% Number of variables : 34 ( 0 ^; 34 !; 0 ?; 34 :)
% Comments :
%------------------------------------------------------------------------------
thf(and_type,type,
and: $i > $i > $i ).
thf(is_a_theorem_type,type,
is_a_theorem: $i > $o ).
thf(necessarily_type,type,
necessarily: $i > $i ).
thf(axiom_m4_type,type,
axiom_m4: $o ).
thf(strict_implies_type,type,
strict_implies: $i > $i > $i ).
thf(op_strict_implies_type,type,
op_strict_implies: $o ).
thf(necessitation_type,type,
necessitation: $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(sk__83_type,type,
sk__83: $i ).
thf(axiom_m4,axiom,
( axiom_m4
<=> ! [X: $i] : ( is_a_theorem @ ( strict_implies @ X @ ( and @ X @ X ) ) ) ) ).
thf(zip_derived_cl117,plain,
( axiom_m4
| ~ ( is_a_theorem @ ( strict_implies @ sk__83 @ ( and @ sk__83 @ sk__83 ) ) ) ),
inference(cnf,[status(esa)],[axiom_m4]) ).
thf(s1_0_axiom_m4,conjecture,
axiom_m4 ).
thf(zf_stmt_0,negated_conjecture,
~ axiom_m4,
inference('cnf.neg',[status(esa)],[s1_0_axiom_m4]) ).
thf(zip_derived_cl145,plain,
~ axiom_m4,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl157,plain,
~ ( is_a_theorem @ ( strict_implies @ sk__83 @ ( and @ sk__83 @ sk__83 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl117,zip_derived_cl145]) ).
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_cl293,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(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_cl205,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_cl146,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_cl206,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_cl205,zip_derived_cl146]) ).
thf(zip_derived_cl296,plain,
! [X0: $i] : ( is_a_theorem @ ( implies @ X0 @ ( and @ X0 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl293,zip_derived_cl206]) ).
thf(op_strict_implies,axiom,
( op_strict_implies
=> ! [X: $i,Y: $i] :
( ( strict_implies @ X @ Y )
= ( necessarily @ ( implies @ X @ Y ) ) ) ) ).
thf(zip_derived_cl132,plain,
! [X0: $i,X1: $i] :
( ( ( strict_implies @ X0 @ X1 )
= ( necessarily @ ( implies @ X0 @ X1 ) ) )
| ~ op_strict_implies ),
inference(cnf,[status(esa)],[op_strict_implies]) ).
thf(s1_0_op_strict_implies,axiom,
op_strict_implies ).
thf(zip_derived_cl142,plain,
op_strict_implies,
inference(cnf,[status(esa)],[s1_0_op_strict_implies]) ).
thf(zip_derived_cl201,plain,
! [X0: $i,X1: $i] :
( ( strict_implies @ X0 @ X1 )
= ( necessarily @ ( implies @ X0 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl132,zip_derived_cl142]) ).
thf(necessitation,axiom,
( necessitation
<=> ! [X: $i] :
( ( is_a_theorem @ X )
=> ( is_a_theorem @ ( necessarily @ X ) ) ) ) ).
thf(zip_derived_cl78,plain,
! [X0: $i] :
( ~ ( is_a_theorem @ X0 )
| ( is_a_theorem @ ( necessarily @ X0 ) )
| ~ necessitation ),
inference(cnf,[status(esa)],[necessitation]) ).
thf(km5_necessitation,axiom,
necessitation ).
thf(zip_derived_cl135,plain,
necessitation,
inference(cnf,[status(esa)],[km5_necessitation]) ).
thf(zip_derived_cl155,plain,
! [X0: $i] :
( ~ ( is_a_theorem @ X0 )
| ( is_a_theorem @ ( necessarily @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl78,zip_derived_cl135]) ).
thf(zip_derived_cl202,plain,
! [X0: $i,X1: $i] :
( ( is_a_theorem @ ( strict_implies @ X1 @ X0 ) )
| ~ ( is_a_theorem @ ( implies @ X1 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl201,zip_derived_cl155]) ).
thf(zip_derived_cl421,plain,
! [X0: $i] : ( is_a_theorem @ ( strict_implies @ X0 @ ( and @ X0 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl296,zip_derived_cl202]) ).
thf(zip_derived_cl505,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl157,zip_derived_cl421]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL531+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% 0.00/0.05 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.BVlt1t9axg true
% 0.11/0.36 % Computer : n001.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Fri Sep 4 18:32:59 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 % Running portfolio for 300 s
% 0.11/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.36 % Number of cores: 8
% 0.11/0.37 % Python version: Python 3.12.3
% 0.11/0.37 % Running in FO mode
% 0.38/0.59 % Total configuration time : 435
% 0.38/0.59 % Estimated wc time : 1092
% 0.38/0.59 % Estimated cpu time (7 cpus) : 156.0
% 0.40/0.66 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.40/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.40/0.72 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.40/0.73 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.40/0.73 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.40/0.73 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.40/0.73 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.40/0.77 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 0.40/0.77 % /export/starexec/sandbox/solver/bin/fo/fo17_bce.sh running for 50s
% 0.40/0.77 % /export/starexec/sandbox/solver/bin/fo/fo8.sh running for 50s
% 0.44/0.91 % Solved by fo/fo5.sh.
% 0.44/0.91 % done 276 iterations in 0.157s
% 0.44/0.91 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.44/0.91 % SZS output start Refutation
% See solution above
% 0.44/0.91
% 0.44/0.91
% 0.44/0.91 % Terminating...
% 0.44/0.97 % Runner terminated.
% 0.44/0.99 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------