TSTP Solution File: LCL462+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL462+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.hhBkmXQdgO true
% Computer : n012.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 08:59:50 EDT 2023
% Result : Theorem 27.12s 4.54s
% Output : Refutation 27.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 28
% Syntax : Number of formulae : 132 ( 58 unt; 14 typ; 0 def)
% Number of atoms : 197 ( 26 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 948 ( 74 ~; 70 |; 1 &; 795 @)
% ( 5 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 14 usr; 10 con; 0-2 aty)
% Number of variables : 240 ( 0 ^; 240 !; 0 ?; 240 :)
% Comments :
%------------------------------------------------------------------------------
thf(cn2_type,type,
cn2: $o ).
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(modus_tollens_type,type,
modus_tollens: $o ).
thf(sk__4_type,type,
sk__4: $i ).
thf(op_implies_and_type,type,
op_implies_and: $o ).
thf(cn1_type,type,
cn1: $o ).
thf(or_type,type,
or: $i > $i > $i ).
thf(cn3_type,type,
cn3: $o ).
thf(modus_ponens_type,type,
modus_ponens: $o ).
thf(implies_type,type,
implies: $i > $i > $i ).
thf(sk__5_type,type,
sk__5: $i ).
thf(not_type,type,
not: $i > $i ).
thf(modus_tollens,axiom,
( modus_tollens
<=> ! [X: $i,Y: $i] : ( is_a_theorem @ ( implies @ ( implies @ ( not @ Y ) @ ( not @ X ) ) @ ( implies @ X @ Y ) ) ) ) ).
thf(zip_derived_cl8,plain,
( modus_tollens
| ~ ( is_a_theorem @ ( implies @ ( implies @ ( not @ sk__5 ) @ ( not @ sk__4 ) ) @ ( implies @ sk__4 @ sk__5 ) ) ) ),
inference(cnf,[status(esa)],[modus_tollens]) ).
thf(hilbert_modus_tollens,conjecture,
modus_tollens ).
thf(zf_stmt_0,negated_conjecture,
~ modus_tollens,
inference('cnf.neg',[status(esa)],[hilbert_modus_tollens]) ).
thf(zip_derived_cl71,plain,
~ modus_tollens,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl349,plain,
~ ( is_a_theorem @ ( implies @ ( implies @ ( not @ sk__5 ) @ ( not @ sk__4 ) ) @ ( implies @ sk__4 @ sk__5 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl8,zip_derived_cl71]) ).
thf(luka_op_or,axiom,
op_or ).
thf(zip_derived_cl60,plain,
op_or,
inference(cnf,[status(esa)],[luka_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(hilbert_op_implies_and,axiom,
op_implies_and ).
thf(zip_derived_cl69,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_cl322,plain,
! [X0: $i,X1: $i] :
( ( implies @ X1 @ X0 )
= ( not @ ( and @ X1 @ ( not @ X0 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl69,zip_derived_cl57]) ).
thf(zip_derived_cl367,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_cl382,plain,
~ ( is_a_theorem @ ( implies @ ( or @ sk__5 @ ( not @ sk__4 ) ) @ ( implies @ sk__4 @ sk__5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl349,zip_derived_cl367]) ).
thf(zip_derived_cl367_001,plain,
! [X0: $i,X1: $i] :
( ( implies @ ( not @ X1 ) @ X0 )
= ( or @ X1 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl343,zip_derived_cl322]) ).
thf(luka_cn2,axiom,
cn2 ).
thf(zip_derived_cl65,plain,
cn2,
inference(cnf,[status(esa)],[luka_cn2]) ).
thf(cn2,axiom,
( cn2
<=> ! [P: $i,Q: $i] : ( is_a_theorem @ ( implies @ P @ ( implies @ ( not @ P ) @ Q ) ) ) ) ).
thf(zip_derived_cl41,plain,
! [X0: $i,X1: $i] :
( ( is_a_theorem @ ( implies @ X0 @ ( implies @ ( not @ X0 ) @ X1 ) ) )
| ~ cn2 ),
inference(cnf,[status(esa)],[cn2]) ).
thf(zip_derived_cl346,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ X1 @ ( implies @ ( not @ X1 ) @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl65,zip_derived_cl41]) ).
thf(zip_derived_cl367_002,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_cl381,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ X1 @ ( or @ X1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl346,zip_derived_cl367]) ).
thf(zip_derived_cl397,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( or @ X1 @ ( or @ ( not @ X1 ) @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl367,zip_derived_cl381]) ).
thf(zip_derived_cl367_003,plain,
! [X0: $i,X1: $i] :
( ( implies @ ( not @ X1 ) @ X0 )
= ( or @ X1 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl343,zip_derived_cl322]) ).
thf(luka_cn1,axiom,
cn1 ).
thf(zip_derived_cl64,plain,
cn1,
inference(cnf,[status(esa)],[luka_cn1]) ).
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_cl39,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( is_a_theorem @ ( implies @ ( implies @ X0 @ X1 ) @ ( implies @ ( implies @ X1 @ X2 ) @ ( implies @ X0 @ X2 ) ) ) )
| ~ cn1 ),
inference(cnf,[status(esa)],[cn1]) ).
thf(zip_derived_cl347,plain,
! [X0: $i,X1: $i,X2: $i] : ( is_a_theorem @ ( implies @ ( implies @ X1 @ X2 ) @ ( implies @ ( implies @ X2 @ X0 ) @ ( implies @ X1 @ X0 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl64,zip_derived_cl39]) ).
thf(luka_modus_ponens,axiom,
modus_ponens ).
thf(zip_derived_cl63,plain,
modus_ponens,
inference(cnf,[status(esa)],[luka_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_cl431,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( is_a_theorem @ ( implies @ X1 @ X2 ) )
| ( is_a_theorem @ ( implies @ ( implies @ X2 @ X0 ) @ ( implies @ X1 @ X0 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl347,zip_derived_cl351]) ).
thf(zip_derived_cl440,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( is_a_theorem @ ( implies @ ( not @ X1 ) @ X2 ) )
| ( is_a_theorem @ ( implies @ ( implies @ X2 @ X0 ) @ ( or @ X1 @ X0 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl367,zip_derived_cl431]) ).
thf(zip_derived_cl367_004,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_cl442,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( is_a_theorem @ ( or @ X1 @ X2 ) )
| ( is_a_theorem @ ( implies @ ( implies @ X2 @ X0 ) @ ( or @ X1 @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl440,zip_derived_cl367]) ).
thf(zip_derived_cl431_005,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( is_a_theorem @ ( implies @ X1 @ X2 ) )
| ( is_a_theorem @ ( implies @ ( implies @ X2 @ X0 ) @ ( implies @ X1 @ X0 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl347,zip_derived_cl351]) ).
thf(luka_cn3,axiom,
cn3 ).
thf(zip_derived_cl66,plain,
cn3,
inference(cnf,[status(esa)],[luka_cn3]) ).
thf(cn3,axiom,
( cn3
<=> ! [P: $i] : ( is_a_theorem @ ( implies @ ( implies @ ( not @ P ) @ P ) @ P ) ) ) ).
thf(zip_derived_cl43,plain,
! [X0: $i] :
( ( is_a_theorem @ ( implies @ ( implies @ ( not @ X0 ) @ X0 ) @ X0 ) )
| ~ cn3 ),
inference(cnf,[status(esa)],[cn3]) ).
thf(zip_derived_cl345,plain,
! [X0: $i] : ( is_a_theorem @ ( implies @ ( implies @ ( not @ X0 ) @ X0 ) @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl66,zip_derived_cl43]) ).
thf(zip_derived_cl367_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_cl380,plain,
! [X0: $i] : ( is_a_theorem @ ( implies @ ( or @ X0 @ X0 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl345,zip_derived_cl367]) ).
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_cl69,zip_derived_cl57]) ).
thf(zip_derived_cl367_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(zip_derived_cl351_009,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_cl384,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_cl367,zip_derived_cl351]) ).
thf(zip_derived_cl388,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_cl384]) ).
thf(zip_derived_cl409,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ ( or @ ( and @ ( or @ X0 @ X0 ) @ ( not @ X0 ) ) @ X1 ) )
| ( is_a_theorem @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl380,zip_derived_cl388]) ).
thf(zip_derived_cl322_010,plain,
! [X0: $i,X1: $i] :
( ( implies @ X1 @ X0 )
= ( not @ ( and @ X1 @ ( not @ X0 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl69,zip_derived_cl57]) ).
thf(zip_derived_cl343_011,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_cl370,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_012,plain,
! [X0: $i,X1: $i] :
( ( implies @ X1 @ X0 )
= ( not @ ( and @ X1 @ ( not @ X0 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl69,zip_derived_cl57]) ).
thf(zip_derived_cl372,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( or @ ( and @ X1 @ ( not @ X0 ) ) @ X2 )
= ( implies @ ( implies @ X1 @ X0 ) @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl370,zip_derived_cl322]) ).
thf(zip_derived_cl705,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ ( implies @ ( implies @ ( or @ X0 @ X0 ) @ X0 ) @ X1 ) )
| ( is_a_theorem @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl409,zip_derived_cl372]) ).
thf(zip_derived_cl862,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ ( implies @ X1 @ ( or @ X0 @ X0 ) ) )
| ( is_a_theorem @ ( implies @ X1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl431,zip_derived_cl705]) ).
thf(zip_derived_cl1245,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_cl442,zip_derived_cl862]) ).
thf(zip_derived_cl1294,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ ( implies @ ( or @ ( not @ X1 ) @ X0 ) @ X1 ) @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl397,zip_derived_cl1245]) ).
thf(zip_derived_cl381_013,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ X1 @ ( or @ X1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl346,zip_derived_cl367]) ).
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_cl396,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ X1 )
| ( is_a_theorem @ ( or @ X1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl381,zip_derived_cl351]) ).
thf(zip_derived_cl367_015,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_cl367_016,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_cl431_017,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( is_a_theorem @ ( implies @ X1 @ X2 ) )
| ( is_a_theorem @ ( implies @ ( implies @ X2 @ X0 ) @ ( implies @ X1 @ X0 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl347,zip_derived_cl351]) ).
thf(zip_derived_cl441,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( is_a_theorem @ ( implies @ X2 @ ( not @ X1 ) ) )
| ( is_a_theorem @ ( implies @ ( or @ X1 @ X0 ) @ ( implies @ X2 @ X0 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl367,zip_derived_cl431]) ).
thf(zip_derived_cl381_018,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ X1 @ ( or @ X1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl346,zip_derived_cl367]) ).
thf(zip_derived_cl431_019,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( is_a_theorem @ ( implies @ X1 @ X2 ) )
| ( is_a_theorem @ ( implies @ ( implies @ X2 @ X0 ) @ ( implies @ X1 @ X0 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl347,zip_derived_cl351]) ).
thf(zip_derived_cl351_020,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_cl438,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( is_a_theorem @ ( implies @ X1 @ X2 ) )
| ~ ( is_a_theorem @ ( implies @ X2 @ X0 ) )
| ( is_a_theorem @ ( implies @ X1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl431,zip_derived_cl351]) ).
thf(zip_derived_cl445,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( is_a_theorem @ ( implies @ ( or @ X1 @ X0 ) @ X2 ) )
| ( is_a_theorem @ ( implies @ X1 @ X2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl381,zip_derived_cl438]) ).
thf(zip_derived_cl1199,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( is_a_theorem @ ( implies @ X1 @ ( not @ X2 ) ) )
| ( is_a_theorem @ ( implies @ X2 @ ( implies @ X1 @ X0 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl441,zip_derived_cl445]) ).
thf(zip_derived_cl1218,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( is_a_theorem @ ( or @ X1 @ ( not @ X0 ) ) )
| ( is_a_theorem @ ( implies @ X0 @ ( implies @ ( not @ X1 ) @ X2 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl367,zip_derived_cl1199]) ).
thf(zip_derived_cl367_021,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_cl1224,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( is_a_theorem @ ( or @ X1 @ ( not @ X0 ) ) )
| ( is_a_theorem @ ( implies @ X0 @ ( or @ X1 @ X2 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1218,zip_derived_cl367]) ).
thf(zip_derived_cl1225,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( is_a_theorem @ X1 )
| ( is_a_theorem @ ( implies @ X0 @ ( or @ X1 @ X2 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl396,zip_derived_cl1224]) ).
thf(zip_derived_cl862_022,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ ( implies @ X1 @ ( or @ X0 @ X0 ) ) )
| ( is_a_theorem @ ( implies @ X1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl431,zip_derived_cl705]) ).
thf(zip_derived_cl1310,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ X0 )
| ( is_a_theorem @ ( implies @ X1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1225,zip_derived_cl862]) ).
thf(zip_derived_cl397_023,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( or @ X1 @ ( or @ ( not @ X1 ) @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl367,zip_derived_cl381]) ).
thf(zip_derived_cl367_024,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_025,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( is_a_theorem @ ( implies @ X1 @ X2 ) )
| ~ ( is_a_theorem @ ( implies @ X2 @ X0 ) )
| ( is_a_theorem @ ( implies @ X1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl431,zip_derived_cl351]) ).
thf(zip_derived_cl450,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( is_a_theorem @ ( or @ X1 @ X0 ) )
| ~ ( is_a_theorem @ ( implies @ X0 @ X2 ) )
| ( is_a_theorem @ ( implies @ ( not @ X1 ) @ X2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl367,zip_derived_cl438]) ).
thf(zip_derived_cl367_026,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_cl453,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( is_a_theorem @ ( or @ X1 @ X0 ) )
| ~ ( is_a_theorem @ ( implies @ X0 @ X2 ) )
| ( is_a_theorem @ ( or @ X1 @ X2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl450,zip_derived_cl367]) ).
thf(zip_derived_cl668,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( is_a_theorem @ ( implies @ ( or @ ( not @ X1 ) @ X0 ) @ X2 ) )
| ( is_a_theorem @ ( or @ X1 @ X2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl397,zip_derived_cl453]) ).
thf(zip_derived_cl1406,plain,
! [X0: $i,X2: $i] :
( ~ ( is_a_theorem @ X0 )
| ( is_a_theorem @ ( or @ X2 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1310,zip_derived_cl668]) ).
thf(zip_derived_cl1245_027,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_cl442,zip_derived_cl862]) ).
thf(zip_derived_cl1580,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ X0 )
| ( is_a_theorem @ ( implies @ ( implies @ X0 @ X1 ) @ X1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1406,zip_derived_cl1245]) ).
thf(zip_derived_cl347_028,plain,
! [X0: $i,X1: $i,X2: $i] : ( is_a_theorem @ ( implies @ ( implies @ X1 @ X2 ) @ ( implies @ ( implies @ X2 @ X0 ) @ ( implies @ X1 @ X0 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl64,zip_derived_cl39]) ).
thf(zip_derived_cl438_029,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( is_a_theorem @ ( implies @ X1 @ X2 ) )
| ~ ( is_a_theorem @ ( implies @ X2 @ X0 ) )
| ( is_a_theorem @ ( implies @ X1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl431,zip_derived_cl351]) ).
thf(zip_derived_cl446,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( is_a_theorem @ ( implies @ ( implies @ ( implies @ X2 @ X0 ) @ ( implies @ X1 @ X0 ) ) @ X3 ) )
| ( is_a_theorem @ ( implies @ ( implies @ X1 @ X2 ) @ X3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl347,zip_derived_cl438]) ).
thf(zip_derived_cl5025,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( is_a_theorem @ ( implies @ X2 @ X0 ) )
| ( is_a_theorem @ ( implies @ ( implies @ X1 @ X2 ) @ ( implies @ X1 @ X0 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1580,zip_derived_cl446]) ).
thf(zip_derived_cl381_030,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ X1 @ ( or @ X1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl346,zip_derived_cl367]) ).
thf(zip_derived_cl431_031,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( is_a_theorem @ ( implies @ X1 @ X2 ) )
| ( is_a_theorem @ ( implies @ ( implies @ X2 @ X0 ) @ ( implies @ X1 @ X0 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl347,zip_derived_cl351]) ).
thf(zip_derived_cl438_032,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( is_a_theorem @ ( implies @ X1 @ X2 ) )
| ~ ( is_a_theorem @ ( implies @ X2 @ X0 ) )
| ( is_a_theorem @ ( implies @ X1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl431,zip_derived_cl351]) ).
thf(zip_derived_cl447,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( is_a_theorem @ ( implies @ X1 @ X2 ) )
| ~ ( is_a_theorem @ ( implies @ ( implies @ X1 @ X0 ) @ X3 ) )
| ( is_a_theorem @ ( implies @ ( implies @ X2 @ X0 ) @ X3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl431,zip_derived_cl438]) ).
thf(zip_derived_cl603,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( is_a_theorem @ ( implies @ ( implies @ X1 @ X3 ) @ X2 ) )
| ( is_a_theorem @ ( implies @ ( implies @ ( or @ X1 @ X0 ) @ X3 ) @ X2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl381,zip_derived_cl447]) ).
thf(zip_derived_cl367_033,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_cl347_034,plain,
! [X0: $i,X1: $i,X2: $i] : ( is_a_theorem @ ( implies @ ( implies @ X1 @ X2 ) @ ( implies @ ( implies @ X2 @ X0 ) @ ( implies @ X1 @ X0 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl64,zip_derived_cl39]) ).
thf(zip_derived_cl434,plain,
! [X0: $i,X1: $i,X2: $i] : ( is_a_theorem @ ( implies @ ( implies @ X2 @ ( not @ X1 ) ) @ ( implies @ ( or @ X1 @ X0 ) @ ( implies @ X2 @ X0 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl367,zip_derived_cl347]) ).
thf(zip_derived_cl438_035,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( is_a_theorem @ ( implies @ X1 @ X2 ) )
| ~ ( is_a_theorem @ ( implies @ X2 @ X0 ) )
| ( is_a_theorem @ ( implies @ X1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl431,zip_derived_cl351]) ).
thf(zip_derived_cl500,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( is_a_theorem @ ( implies @ ( implies @ ( or @ X2 @ X0 ) @ ( implies @ X1 @ X0 ) ) @ X3 ) )
| ( is_a_theorem @ ( implies @ ( implies @ X1 @ ( not @ X2 ) ) @ X3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl434,zip_derived_cl438]) ).
thf(zip_derived_cl2216,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( is_a_theorem @ ( implies @ ( implies @ X3 @ ( implies @ X2 @ X1 ) ) @ X0 ) )
| ( is_a_theorem @ ( implies @ ( implies @ X2 @ ( not @ X3 ) ) @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl603,zip_derived_cl500]) ).
thf(zip_derived_cl10420,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( is_a_theorem @ ( implies @ ( implies @ X3 @ X2 ) @ X0 ) )
| ( is_a_theorem @ ( implies @ ( implies @ X3 @ ( not @ X1 ) ) @ ( implies @ X1 @ X0 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5025,zip_derived_cl2216]) ).
thf(zip_derived_cl10627,plain,
! [X0: $i,X1: $i,X2: $i] : ( is_a_theorem @ ( implies @ ( implies @ ( or @ ( not @ X0 ) @ X1 ) @ ( not @ X2 ) ) @ ( implies @ X2 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1294,zip_derived_cl10420]) ).
thf(zip_derived_cl380_036,plain,
! [X0: $i] : ( is_a_theorem @ ( implies @ ( or @ X0 @ X0 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl345,zip_derived_cl367]) ).
thf(zip_derived_cl447_037,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( is_a_theorem @ ( implies @ X1 @ X2 ) )
| ~ ( is_a_theorem @ ( implies @ ( implies @ X1 @ X0 ) @ X3 ) )
| ( is_a_theorem @ ( implies @ ( implies @ X2 @ X0 ) @ X3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl431,zip_derived_cl438]) ).
thf(zip_derived_cl609,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( is_a_theorem @ ( implies @ ( implies @ ( or @ X0 @ X0 ) @ X2 ) @ X1 ) )
| ( is_a_theorem @ ( implies @ ( implies @ X0 @ X2 ) @ X1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl380,zip_derived_cl447]) ).
thf(zip_derived_cl12894,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ ( implies @ ( not @ X0 ) @ ( not @ X1 ) ) @ ( implies @ X1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl10627,zip_derived_cl609]) ).
thf(zip_derived_cl367_038,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_cl12941,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ ( or @ X0 @ ( not @ X1 ) ) @ ( implies @ X1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12894,zip_derived_cl367]) ).
thf(zip_derived_cl19719,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl382,zip_derived_cl12941]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL462+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.hhBkmXQdgO true
% 0.13/0.35 % Computer : n012.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 24 18:09:56 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.21/0.66 % Total configuration time : 435
% 0.21/0.66 % Estimated wc time : 1092
% 0.21/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.80/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.80/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.80/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.80/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.80/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.80/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.80/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 27.12/4.54 % Solved by fo/fo6_bce.sh.
% 27.12/4.54 % BCE start: 72
% 27.12/4.54 % BCE eliminated: 3
% 27.12/4.54 % PE start: 69
% 27.12/4.54 logic: eq
% 27.12/4.54 % PE eliminated: 39
% 27.12/4.54 % done 1378 iterations in 3.809s
% 27.12/4.54 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 27.12/4.54 % SZS output start Refutation
% See solution above
% 27.12/4.54
% 27.12/4.54
% 27.12/4.54 % Terminating...
% 27.75/4.62 % Runner terminated.
% 27.81/4.64 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------