%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL517+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.hXFUFBfpMC true
% Computer : n010.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 01:36:07 PM UTC 2026
% Result : Theorem 36.99s 6.01s
% Output : Refutation 36.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 14
% Syntax : Number of formulae : 122 ( 71 unt; 0 typ; 0 def)
% Number of atoms : 187 ( 39 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 990 ( 60 ~; 56 |; 1 &; 865 @)
% ( 5 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 13 usr; 9 con; 0-2 aty)
% Number of variables : 240 ( 0 ^; 240 !; 0 ?; 240 :)
% Comments :
%------------------------------------------------------------------------------
thf(op_or_type,type,
op_or: $o ).
thf(and_type,type,
and: $i > $i > $i ).
thf(is_a_theorem_type,type,
is_a_theorem: $i > $o ).
thf(sk__43_type,type,
sk__43: $i ).
thf(op_implies_and_type,type,
op_implies_and: $o ).
thf(or_type,type,
or: $i > $i > $i ).
thf(cn3_type,type,
cn3: $o ).
thf(kn2_type,type,
kn2: $o ).
thf(kn1_type,type,
kn1: $o ).
thf(modus_ponens_type,type,
modus_ponens: $o ).
thf(implies_type,type,
implies: $i > $i > $i ).
thf(kn3_type,type,
kn3: $o ).
thf(not_type,type,
not: $i > $i ).
thf(cn3,axiom,
( cn3
<=> ! [P: $i] : ( is_a_theorem @ ( implies @ ( implies @ ( not @ P ) @ P ) @ P ) ) ) ).
thf(zip_derived_cl44,plain,
( cn3
| ~ ( is_a_theorem @ ( implies @ ( implies @ ( not @ sk__43 ) @ sk__43 ) @ sk__43 ) ) ),
inference(cnf,[status(esa)],[cn3]) ).
thf(luka_cn3,conjecture,
cn3 ).
thf(zf_stmt_0,negated_conjecture,
~ cn3,
inference('cnf.neg',[status(esa)],[luka_cn3]) ).
thf(zip_derived_cl71,plain,
~ cn3,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl349,plain,
~ ( is_a_theorem @ ( implies @ ( implies @ ( not @ sk__43 ) @ sk__43 ) @ sk__43 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl44,zip_derived_cl71]) ).
thf(rosser_op_or,axiom,
op_or ).
thf(zip_derived_cl60,plain,
op_or,
inference(cnf,[status(esa)],[rosser_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_cl343,plain,
! [X0: $i,X1: $i] :
( ( or @ X1 @ X0 )
= ( not @ ( and @ ( not @ X1 ) @ ( not @ X0 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl60,zip_derived_cl55]) ).
thf(rosser_op_implies_and,axiom,
op_implies_and ).
thf(zip_derived_cl61,plain,
op_implies_and,
inference(cnf,[status(esa)],[rosser_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_cl322,plain,
! [X0: $i,X1: $i] :
( ( implies @ X1 @ X0 )
= ( not @ ( and @ X1 @ ( not @ X0 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl61,zip_derived_cl57]) ).
thf(zip_derived_cl361,plain,
! [X0: $i,X1: $i] :
( ( implies @ ( not @ X1 ) @ X0 )
= ( or @ X1 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl343,zip_derived_cl322]) ).
thf(zip_derived_cl373,plain,
~ ( is_a_theorem @ ( implies @ ( or @ sk__43 @ sk__43 ) @ sk__43 ) ),
inference(demod,[status(thm)],[zip_derived_cl349,zip_derived_cl361]) ).
thf(zip_derived_cl322_001,plain,
! [X0: $i,X1: $i] :
( ( implies @ X1 @ X0 )
= ( not @ ( and @ X1 @ ( not @ X0 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl61,zip_derived_cl57]) ).
thf(zip_derived_cl343_002,plain,
! [X0: $i,X1: $i] :
( ( or @ X1 @ X0 )
= ( not @ ( and @ ( not @ X1 ) @ ( not @ X0 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl60,zip_derived_cl55]) ).
thf(zip_derived_cl322_003,plain,
! [X0: $i,X1: $i] :
( ( implies @ X1 @ X0 )
= ( not @ ( and @ X1 @ ( not @ X0 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl61,zip_derived_cl57]) ).
thf(zip_derived_cl343_004,plain,
! [X0: $i,X1: $i] :
( ( or @ X1 @ X0 )
= ( not @ ( and @ ( not @ X1 ) @ ( not @ X0 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl60,zip_derived_cl55]) ).
thf(zip_derived_cl364,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( or @ ( and @ X1 @ ( not @ X0 ) ) @ X2 )
= ( not @ ( and @ ( implies @ X1 @ X0 ) @ ( not @ X2 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl322,zip_derived_cl343]) ).
thf(zip_derived_cl322_005,plain,
! [X0: $i,X1: $i] :
( ( implies @ X1 @ X0 )
= ( not @ ( and @ X1 @ ( not @ X0 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl61,zip_derived_cl57]) ).
thf(zip_derived_cl366,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( or @ ( and @ X1 @ ( not @ X0 ) ) @ X2 )
= ( implies @ ( implies @ X1 @ X0 ) @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl364,zip_derived_cl322]) ).
thf(rosser_kn3,axiom,
kn3 ).
thf(zip_derived_cl66,plain,
kn3,
inference(cnf,[status(esa)],[rosser_kn3]) ).
thf(kn3,axiom,
( kn3
<=> ! [P: $i,Q: $i,R: $i] : ( is_a_theorem @ ( implies @ ( implies @ P @ Q ) @ ( implies @ ( not @ ( and @ Q @ R ) ) @ ( not @ ( and @ R @ P ) ) ) ) ) ) ).
thf(zip_derived_cl37,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( is_a_theorem @ ( implies @ ( implies @ X0 @ X1 ) @ ( implies @ ( not @ ( and @ X1 @ X2 ) ) @ ( not @ ( and @ X2 @ X0 ) ) ) ) )
| ~ kn3 ),
inference(cnf,[status(esa)],[kn3]) ).
thf(zip_derived_cl347,plain,
! [X0: $i,X1: $i,X2: $i] : ( is_a_theorem @ ( implies @ ( implies @ X0 @ X2 ) @ ( implies @ ( not @ ( and @ X2 @ X1 ) ) @ ( not @ ( and @ X1 @ X0 ) ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl66,zip_derived_cl37]) ).
thf(zip_derived_cl361_006,plain,
! [X0: $i,X1: $i] :
( ( implies @ ( not @ X1 ) @ X0 )
= ( or @ X1 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl343,zip_derived_cl322]) ).
thf(zip_derived_cl438,plain,
! [X0: $i,X1: $i,X2: $i] : ( is_a_theorem @ ( implies @ ( implies @ X0 @ X2 ) @ ( or @ ( and @ X2 @ X1 ) @ ( not @ ( and @ X1 @ X0 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl347,zip_derived_cl361]) ).
thf(zip_derived_cl475,plain,
! [X0: $i,X1: $i,X2: $i] : ( is_a_theorem @ ( implies @ ( implies @ X0 @ X2 ) @ ( implies @ ( implies @ X2 @ X1 ) @ ( not @ ( and @ ( not @ X1 ) @ X0 ) ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl366,zip_derived_cl438]) ).
thf(rosser_kn1,axiom,
kn1 ).
thf(zip_derived_cl64,plain,
kn1,
inference(cnf,[status(esa)],[rosser_kn1]) ).
thf(kn1,axiom,
( kn1
<=> ! [P: $i] : ( is_a_theorem @ ( implies @ P @ ( and @ P @ P ) ) ) ) ).
thf(zip_derived_cl33,plain,
! [X0: $i] :
( ( is_a_theorem @ ( implies @ X0 @ ( and @ X0 @ X0 ) ) )
| ~ kn1 ),
inference(cnf,[status(esa)],[kn1]) ).
thf(zip_derived_cl345,plain,
! [X0: $i] : ( is_a_theorem @ ( implies @ X0 @ ( and @ X0 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl64,zip_derived_cl33]) ).
thf(zip_derived_cl322_007,plain,
! [X0: $i,X1: $i] :
( ( implies @ X1 @ X0 )
= ( not @ ( and @ X1 @ ( not @ X0 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl61,zip_derived_cl57]) ).
thf(zip_derived_cl361_008,plain,
! [X0: $i,X1: $i] :
( ( implies @ ( not @ X1 ) @ X0 )
= ( or @ X1 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl343,zip_derived_cl322]) ).
thf(rosser_modus_ponens,axiom,
modus_ponens ).
thf(zip_derived_cl63,plain,
modus_ponens,
inference(cnf,[status(esa)],[rosser_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_cl351,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_cl374,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ ( not @ X1 ) )
| ~ ( is_a_theorem @ ( or @ X1 @ X0 ) )
| ( is_a_theorem @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl361,zip_derived_cl351]) ).
thf(zip_derived_cl378,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( is_a_theorem @ ( implies @ X1 @ X0 ) )
| ~ ( is_a_theorem @ ( or @ ( and @ X1 @ ( not @ X0 ) ) @ X2 ) )
| ( is_a_theorem @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl322,zip_derived_cl374]) ).
thf(zip_derived_cl380,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ ( or @ ( and @ X0 @ ( not @ ( and @ X0 @ X0 ) ) ) @ X1 ) )
| ( is_a_theorem @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl345,zip_derived_cl378]) ).
thf(zip_derived_cl366_009,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( or @ ( and @ X1 @ ( not @ X0 ) ) @ X2 )
= ( implies @ ( implies @ X1 @ X0 ) @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl364,zip_derived_cl322]) ).
thf(zip_derived_cl469,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ ( implies @ ( implies @ X0 @ ( and @ X0 @ X0 ) ) @ X1 ) )
| ( is_a_theorem @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl380,zip_derived_cl366]) ).
thf(zip_derived_cl519,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ ( implies @ ( and @ X0 @ X0 ) @ X1 ) @ ( not @ ( and @ ( not @ X1 ) @ X0 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl475,zip_derived_cl469]) ).
thf(rosser_kn2,axiom,
kn2 ).
thf(zip_derived_cl65,plain,
kn2,
inference(cnf,[status(esa)],[rosser_kn2]) ).
thf(kn2,axiom,
( kn2
<=> ! [P: $i,Q: $i] : ( is_a_theorem @ ( implies @ ( and @ P @ Q ) @ P ) ) ) ).
thf(zip_derived_cl35,plain,
! [X0: $i,X1: $i] :
( ( is_a_theorem @ ( implies @ ( and @ X0 @ X1 ) @ X0 ) )
| ~ kn2 ),
inference(cnf,[status(esa)],[kn2]) ).
thf(zip_derived_cl346,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ ( and @ X0 @ X1 ) @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl65,zip_derived_cl35]) ).
thf(zip_derived_cl378_010,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( is_a_theorem @ ( implies @ X1 @ X0 ) )
| ~ ( is_a_theorem @ ( or @ ( and @ X1 @ ( not @ X0 ) ) @ X2 ) )
| ( is_a_theorem @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl322,zip_derived_cl374]) ).
thf(zip_derived_cl381,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( is_a_theorem @ ( or @ ( and @ ( and @ X0 @ X1 ) @ ( not @ X0 ) ) @ X2 ) )
| ( is_a_theorem @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl346,zip_derived_cl378]) ).
thf(zip_derived_cl366_011,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( or @ ( and @ X1 @ ( not @ X0 ) ) @ X2 )
= ( implies @ ( implies @ X1 @ X0 ) @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl364,zip_derived_cl322]) ).
thf(zip_derived_cl470,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( is_a_theorem @ ( implies @ ( implies @ ( and @ X0 @ X1 ) @ X0 ) @ X2 ) )
| ( is_a_theorem @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl381,zip_derived_cl366]) ).
thf(zip_derived_cl635,plain,
! [X0: $i] : ( is_a_theorem @ ( not @ ( and @ ( not @ X0 ) @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl519,zip_derived_cl470]) ).
thf(zip_derived_cl652,plain,
! [X0: $i] : ( is_a_theorem @ ( or @ ( not @ X0 ) @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl343,zip_derived_cl635]) ).
thf(zip_derived_cl361_012,plain,
! [X0: $i,X1: $i] :
( ( implies @ ( not @ X1 ) @ X0 )
= ( or @ X1 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl343,zip_derived_cl322]) ).
thf(zip_derived_cl475_013,plain,
! [X0: $i,X1: $i,X2: $i] : ( is_a_theorem @ ( implies @ ( implies @ X0 @ X2 ) @ ( implies @ ( implies @ X2 @ X1 ) @ ( not @ ( and @ ( not @ X1 ) @ X0 ) ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl366,zip_derived_cl438]) ).
thf(zip_derived_cl351_014,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_cl518,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( is_a_theorem @ ( implies @ X0 @ X2 ) )
| ( is_a_theorem @ ( implies @ ( implies @ X2 @ X1 ) @ ( not @ ( and @ ( not @ X1 ) @ X0 ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl475,zip_derived_cl351]) ).
thf(zip_derived_cl470_015,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( is_a_theorem @ ( implies @ ( implies @ ( and @ X0 @ X1 ) @ X0 ) @ X2 ) )
| ( is_a_theorem @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl381,zip_derived_cl366]) ).
thf(zip_derived_cl800,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( is_a_theorem @ ( implies @ X0 @ ( and @ X1 @ X2 ) ) )
| ( is_a_theorem @ ( not @ ( and @ ( not @ X1 ) @ X0 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl518,zip_derived_cl470]) ).
thf(zip_derived_cl908,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( is_a_theorem @ ( or @ X2 @ ( and @ X1 @ X0 ) ) )
| ( is_a_theorem @ ( not @ ( and @ ( not @ X1 ) @ ( not @ X2 ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl361,zip_derived_cl800]) ).
thf(zip_derived_cl343_016,plain,
! [X0: $i,X1: $i] :
( ( or @ X1 @ X0 )
= ( not @ ( and @ ( not @ X1 ) @ ( not @ X0 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl60,zip_derived_cl55]) ).
thf(zip_derived_cl912,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( is_a_theorem @ ( or @ X2 @ ( and @ X1 @ X0 ) ) )
| ( is_a_theorem @ ( or @ X1 @ X2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl908,zip_derived_cl343]) ).
thf(zip_derived_cl952,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( or @ X1 @ ( not @ ( and @ X1 @ X0 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl652,zip_derived_cl912]) ).
thf(zip_derived_cl966,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( or @ X1 @ ( implies @ X1 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl322,zip_derived_cl952]) ).
thf(zip_derived_cl322_017,plain,
! [X0: $i,X1: $i] :
( ( implies @ X1 @ X0 )
= ( not @ ( and @ X1 @ ( not @ X0 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl61,zip_derived_cl57]) ).
thf(zip_derived_cl518_018,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( is_a_theorem @ ( implies @ X0 @ X2 ) )
| ( is_a_theorem @ ( implies @ ( implies @ X2 @ X1 ) @ ( not @ ( and @ ( not @ X1 ) @ X0 ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl475,zip_derived_cl351]) ).
thf(zip_derived_cl805,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( is_a_theorem @ ( implies @ ( not @ X0 ) @ X2 ) )
| ( is_a_theorem @ ( implies @ ( implies @ X2 @ X1 ) @ ( implies @ ( not @ X1 ) @ X0 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl322,zip_derived_cl518]) ).
thf(zip_derived_cl361_019,plain,
! [X0: $i,X1: $i] :
( ( implies @ ( not @ X1 ) @ X0 )
= ( or @ X1 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl343,zip_derived_cl322]) ).
thf(zip_derived_cl361_020,plain,
! [X0: $i,X1: $i] :
( ( implies @ ( not @ X1 ) @ X0 )
= ( or @ X1 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl343,zip_derived_cl322]) ).
thf(zip_derived_cl815,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( is_a_theorem @ ( or @ X0 @ X2 ) )
| ( is_a_theorem @ ( implies @ ( implies @ X2 @ X1 ) @ ( or @ X1 @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl805,zip_derived_cl361,zip_derived_cl361]) ).
thf(zip_derived_cl322_021,plain,
! [X0: $i,X1: $i] :
( ( implies @ X1 @ X0 )
= ( not @ ( and @ X1 @ ( not @ X0 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl61,zip_derived_cl57]) ).
thf(zip_derived_cl322_022,plain,
! [X0: $i,X1: $i] :
( ( implies @ X1 @ X0 )
= ( not @ ( and @ X1 @ ( not @ X0 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl61,zip_derived_cl57]) ).
thf(zip_derived_cl353,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( implies @ X2 @ ( and @ X1 @ ( not @ X0 ) ) )
= ( not @ ( and @ X2 @ ( implies @ X1 @ X0 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl322,zip_derived_cl322]) ).
thf(zip_derived_cl438_023,plain,
! [X0: $i,X1: $i,X2: $i] : ( is_a_theorem @ ( implies @ ( implies @ X0 @ X2 ) @ ( or @ ( and @ X2 @ X1 ) @ ( not @ ( and @ X1 @ X0 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl347,zip_derived_cl361]) ).
thf(zip_derived_cl351_024,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_cl439,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( is_a_theorem @ ( implies @ X0 @ X2 ) )
| ( is_a_theorem @ ( or @ ( and @ X2 @ X1 ) @ ( not @ ( and @ X1 @ X0 ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl438,zip_derived_cl351]) ).
thf(zip_derived_cl635_025,plain,
! [X0: $i] : ( is_a_theorem @ ( not @ ( and @ ( not @ X0 ) @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl519,zip_derived_cl470]) ).
thf(zip_derived_cl374_026,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ ( not @ X1 ) )
| ~ ( is_a_theorem @ ( or @ X1 @ X0 ) )
| ( is_a_theorem @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl361,zip_derived_cl351]) ).
thf(zip_derived_cl649,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ ( or @ ( and @ ( not @ X0 ) @ X0 ) @ X1 ) )
| ( is_a_theorem @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl635,zip_derived_cl374]) ).
thf(zip_derived_cl1111,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ ( implies @ X0 @ ( not @ X1 ) ) )
| ( is_a_theorem @ ( not @ ( and @ X1 @ X0 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl439,zip_derived_cl649]) ).
thf(zip_derived_cl1147,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( is_a_theorem @ ( implies @ ( implies @ X1 @ X0 ) @ ( not @ X2 ) ) )
| ( is_a_theorem @ ( implies @ X2 @ ( and @ X1 @ ( not @ X0 ) ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl353,zip_derived_cl1111]) ).
thf(zip_derived_cl343_027,plain,
! [X0: $i,X1: $i] :
( ( or @ X1 @ X0 )
= ( not @ ( and @ ( not @ X1 ) @ ( not @ X0 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl60,zip_derived_cl55]) ).
thf(zip_derived_cl519_028,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ ( implies @ ( and @ X0 @ X0 ) @ X1 ) @ ( not @ ( and @ ( not @ X1 ) @ X0 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl475,zip_derived_cl469]) ).
thf(zip_derived_cl638,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ ( implies @ ( and @ ( not @ X0 ) @ ( not @ X0 ) ) @ X1 ) @ ( or @ X1 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl343,zip_derived_cl519]) ).
thf(zip_derived_cl351_029,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_cl747,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ ( implies @ ( and @ ( not @ X0 ) @ ( not @ X0 ) ) @ X1 ) )
| ( is_a_theorem @ ( or @ X1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl638,zip_derived_cl351]) ).
thf(zip_derived_cl26748,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( is_a_theorem @ ( implies @ ( implies @ X1 @ X0 ) @ ( not @ ( and @ ( not @ X2 ) @ ( not @ X2 ) ) ) ) )
| ( is_a_theorem @ ( or @ ( and @ X1 @ ( not @ X0 ) ) @ X2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1147,zip_derived_cl747]) ).
thf(zip_derived_cl343_030,plain,
! [X0: $i,X1: $i] :
( ( or @ X1 @ X0 )
= ( not @ ( and @ ( not @ X1 ) @ ( not @ X0 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl60,zip_derived_cl55]) ).
thf(zip_derived_cl366_031,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( or @ ( and @ X1 @ ( not @ X0 ) ) @ X2 )
= ( implies @ ( implies @ X1 @ X0 ) @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl364,zip_derived_cl322]) ).
thf(zip_derived_cl26801,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( is_a_theorem @ ( implies @ ( implies @ X1 @ X0 ) @ ( or @ X2 @ X2 ) ) )
| ( is_a_theorem @ ( implies @ ( implies @ X1 @ X0 ) @ X2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26748,zip_derived_cl343,zip_derived_cl366]) ).
thf(zip_derived_cl26820,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ ( or @ X0 @ X1 ) )
| ( is_a_theorem @ ( implies @ ( implies @ X1 @ X0 ) @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl815,zip_derived_cl26801]) ).
thf(zip_derived_cl28877,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ ( implies @ ( implies @ X1 @ X0 ) @ X1 ) @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl966,zip_derived_cl26820]) ).
thf(zip_derived_cl366_032,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( or @ ( and @ X1 @ ( not @ X0 ) ) @ X2 )
= ( implies @ ( implies @ X1 @ X0 ) @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl364,zip_derived_cl322]) ).
thf(zip_derived_cl638_033,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ ( implies @ ( and @ ( not @ X0 ) @ ( not @ X0 ) ) @ X1 ) @ ( or @ X1 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl343,zip_derived_cl519]) ).
thf(zip_derived_cl518_034,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( is_a_theorem @ ( implies @ X0 @ X2 ) )
| ( is_a_theorem @ ( implies @ ( implies @ X2 @ X1 ) @ ( not @ ( and @ ( not @ X1 ) @ X0 ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl475,zip_derived_cl351]) ).
thf(zip_derived_cl351_035,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_cl798,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( is_a_theorem @ ( implies @ X0 @ X2 ) )
| ~ ( is_a_theorem @ ( implies @ X2 @ X1 ) )
| ( is_a_theorem @ ( not @ ( and @ ( not @ X1 ) @ X0 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl518,zip_derived_cl351]) ).
thf(zip_derived_cl921,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( is_a_theorem @ ( implies @ ( or @ X1 @ X0 ) @ X2 ) )
| ( is_a_theorem @ ( not @ ( and @ ( not @ X2 ) @ ( implies @ ( and @ ( not @ X0 ) @ ( not @ X0 ) ) @ X1 ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl638,zip_derived_cl798]) ).
thf(zip_derived_cl322_036,plain,
! [X0: $i,X1: $i] :
( ( implies @ X1 @ X0 )
= ( not @ ( and @ X1 @ ( not @ X0 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl61,zip_derived_cl57]) ).
thf(zip_derived_cl343_037,plain,
! [X0: $i,X1: $i] :
( ( or @ X1 @ X0 )
= ( not @ ( and @ ( not @ X1 ) @ ( not @ X0 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl60,zip_derived_cl55]) ).
thf(zip_derived_cl362,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( or @ X2 @ ( and @ X1 @ ( not @ X0 ) ) )
= ( not @ ( and @ ( not @ X2 ) @ ( implies @ X1 @ X0 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl322,zip_derived_cl343]) ).
thf(zip_derived_cl935,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( is_a_theorem @ ( implies @ ( or @ X1 @ X0 ) @ X2 ) )
| ( is_a_theorem @ ( or @ X2 @ ( and @ ( and @ ( not @ X0 ) @ ( not @ X0 ) ) @ ( not @ X1 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl921,zip_derived_cl362]) ).
thf(zip_derived_cl912_038,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( is_a_theorem @ ( or @ X2 @ ( and @ X1 @ X0 ) ) )
| ( is_a_theorem @ ( or @ X1 @ X2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl908,zip_derived_cl343]) ).
thf(zip_derived_cl17358,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( is_a_theorem @ ( implies @ ( or @ X0 @ X1 ) @ X2 ) )
| ( is_a_theorem @ ( or @ ( and @ ( not @ X1 ) @ ( not @ X1 ) ) @ X2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl935,zip_derived_cl912]) ).
thf(zip_derived_cl343_039,plain,
! [X0: $i,X1: $i] :
( ( or @ X1 @ X0 )
= ( not @ ( and @ ( not @ X1 ) @ ( not @ X0 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl60,zip_derived_cl55]) ).
thf(zip_derived_cl343_040,plain,
! [X0: $i,X1: $i] :
( ( or @ X1 @ X0 )
= ( not @ ( and @ ( not @ X1 ) @ ( not @ X0 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl60,zip_derived_cl55]) ).
thf(zip_derived_cl365,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( or @ ( and @ ( not @ X1 ) @ ( not @ X0 ) ) @ X2 )
= ( not @ ( and @ ( or @ X1 @ X0 ) @ ( not @ X2 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl343,zip_derived_cl343]) ).
thf(zip_derived_cl322_041,plain,
! [X0: $i,X1: $i] :
( ( implies @ X1 @ X0 )
= ( not @ ( and @ X1 @ ( not @ X0 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl61,zip_derived_cl57]) ).
thf(zip_derived_cl367,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( or @ ( and @ ( not @ X1 ) @ ( not @ X0 ) ) @ X2 )
= ( implies @ ( or @ X1 @ X0 ) @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl365,zip_derived_cl322]) ).
thf(zip_derived_cl17442,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( is_a_theorem @ ( implies @ ( or @ X0 @ X1 ) @ X2 ) )
| ( is_a_theorem @ ( implies @ ( or @ X1 @ X1 ) @ X2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17358,zip_derived_cl367]) ).
thf(zip_derived_cl17593,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( is_a_theorem @ ( implies @ ( implies @ ( implies @ X2 @ X1 ) @ X0 ) @ X3 ) )
| ( is_a_theorem @ ( implies @ ( or @ X0 @ X0 ) @ X3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl366,zip_derived_cl17442]) ).
thf(zip_derived_cl29032,plain,
! [X0: $i] : ( is_a_theorem @ ( implies @ ( or @ X0 @ X0 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl28877,zip_derived_cl17593]) ).
thf(zip_derived_cl29192,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl373,zip_derived_cl29032]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL517+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% 0.00/0.04 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.hXFUFBfpMC true
% 0.08/0.36 % Computer : n010.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sat Sep 5 14:24:09 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 % Running portfolio for 300 s
% 0.08/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.37 % Number of cores: 8
% 0.08/0.37 % Python version: Python 3.12.3
% 0.08/0.37 % Running in FO mode
% 0.45/0.66 % Total configuration time : 435
% 0.45/0.66 % Estimated wc time : 1092
% 0.45/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.48/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.48/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.48/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.48/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.48/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.48/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.48/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.50/0.83 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 36.99/6.01 % Solved by fo/fo6_bce.sh.
% 36.99/6.01 % BCE start: 72
% 36.99/6.01 % BCE eliminated: 3
% 36.99/6.01 % PE start: 69
% 36.99/6.01 logic: eq
% 36.99/6.01 % PE eliminated: 39
% 36.99/6.01 % done 2098 iterations in 5.247s
% 36.99/6.01 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 36.99/6.01 % SZS output start Refutation
% See solution above
% 36.99/6.02
% 36.99/6.02
% 36.99/6.02 % Terminating...
% 36.99/6.04 % Runner terminated.
% 38.13/6.06 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------