TSTP Solution File: LCL457+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL457+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.cnmL6pyHTL true
% Computer : n010.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 08:59:49 EDT 2023
% Result : Theorem 237.76s 34.67s
% Output : Refutation 237.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 41
% Syntax : Number of formulae : 114 ( 58 unt; 19 typ; 0 def)
% Number of atoms : 144 ( 26 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 650 ( 42 ~; 36 |; 1 &; 559 @)
% ( 7 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 21 ( 19 usr; 15 con; 0-2 aty)
% Number of variables : 156 ( 0 ^; 156 !; 0 ?; 156 :)
% 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(modus_tollens_type,type,
modus_tollens: $o ).
thf(implies_1_type,type,
implies_1: $o ).
thf(sk__51_type,type,
sk__51: $i ).
thf(sk__49_type,type,
sk__49: $i ).
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(or_3_type,type,
or_3: $o ).
thf(implies_3_type,type,
implies_3: $o ).
thf(modus_ponens_type,type,
modus_ponens: $o ).
thf(sk__50_type,type,
sk__50: $i ).
thf(or_1_type,type,
or_1: $o ).
thf(r4_type,type,
r4: $o ).
thf(implies_type,type,
implies: $i > $i > $i ).
thf(not_type,type,
not: $i > $i ).
thf(hilbert_or_3,axiom,
or_3 ).
thf(zip_derived_cl73,plain,
or_3,
inference(cnf,[status(esa)],[hilbert_or_3]) ).
thf(or_3,axiom,
( or_3
<=> ! [X: $i,Y: $i,Z: $i] : ( is_a_theorem @ ( implies @ ( implies @ X @ Z ) @ ( implies @ ( implies @ Y @ Z ) @ ( implies @ ( or @ X @ Y ) @ Z ) ) ) ) ) ).
thf(zip_derived_cl25,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( is_a_theorem @ ( implies @ ( implies @ X0 @ X1 ) @ ( implies @ ( implies @ X2 @ X1 ) @ ( implies @ ( or @ X0 @ X2 ) @ X1 ) ) ) )
| ~ or_3 ),
inference(cnf,[status(esa)],[or_3]) ).
thf(zip_derived_cl385,plain,
! [X0: $i,X1: $i,X2: $i] : ( is_a_theorem @ ( implies @ ( implies @ X2 @ X0 ) @ ( implies @ ( implies @ X1 @ X0 ) @ ( implies @ ( or @ X2 @ X1 ) @ X0 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl73,zip_derived_cl25]) ).
thf(hilbert_modus_ponens,axiom,
modus_ponens ).
thf(zip_derived_cl63,plain,
modus_ponens,
inference(cnf,[status(esa)],[hilbert_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_cl389,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_cl580,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( is_a_theorem @ ( implies @ X2 @ X0 ) )
| ( is_a_theorem @ ( implies @ ( implies @ X1 @ X0 ) @ ( implies @ ( or @ X2 @ X1 ) @ X0 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl385,zip_derived_cl389]) ).
thf(zip_derived_cl389_001,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_cl6570,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( is_a_theorem @ ( implies @ X2 @ X0 ) )
| ~ ( is_a_theorem @ ( implies @ X1 @ X0 ) )
| ( is_a_theorem @ ( implies @ ( or @ X2 @ X1 ) @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl580,zip_derived_cl389]) ).
thf(zip_derived_cl6570_002,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( is_a_theorem @ ( implies @ X2 @ X0 ) )
| ~ ( is_a_theorem @ ( implies @ X1 @ X0 ) )
| ( is_a_theorem @ ( implies @ ( or @ X2 @ X1 ) @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl580,zip_derived_cl389]) ).
thf(r4,axiom,
( r4
<=> ! [P: $i,Q: $i,R: $i] : ( is_a_theorem @ ( implies @ ( or @ P @ ( or @ Q @ R ) ) @ ( or @ Q @ ( or @ P @ R ) ) ) ) ) ).
thf(zip_derived_cl52,plain,
( r4
| ~ ( is_a_theorem @ ( implies @ ( or @ sk__49 @ ( or @ sk__50 @ sk__51 ) ) @ ( or @ sk__50 @ ( or @ sk__49 @ sk__51 ) ) ) ) ),
inference(cnf,[status(esa)],[r4]) ).
thf(principia_r4,conjecture,
r4 ).
thf(zf_stmt_0,negated_conjecture,
~ r4,
inference('cnf.neg',[status(esa)],[principia_r4]) ).
thf(zip_derived_cl81,plain,
~ r4,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl387,plain,
~ ( is_a_theorem @ ( implies @ ( or @ sk__49 @ ( or @ sk__50 @ sk__51 ) ) @ ( or @ sk__50 @ ( or @ sk__49 @ sk__51 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl52,zip_derived_cl81]) ).
thf(zip_derived_cl208355,plain,
( ~ ( is_a_theorem @ ( implies @ ( or @ sk__50 @ sk__51 ) @ ( or @ sk__50 @ ( or @ sk__49 @ sk__51 ) ) ) )
| ~ ( is_a_theorem @ ( implies @ sk__49 @ ( or @ sk__50 @ ( or @ sk__49 @ sk__51 ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6570,zip_derived_cl387]) ).
thf(hilbert_op_implies_and,axiom,
op_implies_and ).
thf(zip_derived_cl61,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_cl360,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(hilbert_op_or,axiom,
op_or ).
thf(zip_derived_cl60,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_cl358,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_cl413,plain,
! [X0: $i,X1: $i] :
( ( or @ X1 @ X0 )
= ( implies @ ( not @ X1 ) @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl360,zip_derived_cl358]) ).
thf(hilbert_implies_1,axiom,
implies_1 ).
thf(zip_derived_cl65,plain,
implies_1,
inference(cnf,[status(esa)],[hilbert_implies_1]) ).
thf(implies_1,axiom,
( implies_1
<=> ! [X: $i,Y: $i] : ( is_a_theorem @ ( implies @ X @ ( implies @ Y @ X ) ) ) ) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: $i] :
( ( is_a_theorem @ ( implies @ X0 @ ( implies @ X1 @ X0 ) ) )
| ~ implies_1 ),
inference(cnf,[status(esa)],[implies_1]) ).
thf(zip_derived_cl374,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ X0 @ ( implies @ X1 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl65,zip_derived_cl9]) ).
thf(zip_derived_cl418,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ X0 @ ( or @ X1 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl413,zip_derived_cl374]) ).
thf(zip_derived_cl413_003,plain,
! [X0: $i,X1: $i] :
( ( or @ X1 @ X0 )
= ( implies @ ( not @ X1 ) @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl360,zip_derived_cl358]) ).
thf(hilbert_modus_tollens,axiom,
modus_tollens ).
thf(zip_derived_cl64,plain,
modus_tollens,
inference(cnf,[status(esa)],[hilbert_modus_tollens]) ).
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_cl7,plain,
! [X0: $i,X1: $i] :
( ( is_a_theorem @ ( implies @ ( implies @ ( not @ X0 ) @ ( not @ X1 ) ) @ ( implies @ X1 @ X0 ) ) )
| ~ modus_tollens ),
inference(cnf,[status(esa)],[modus_tollens]) ).
thf(zip_derived_cl373,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ ( implies @ ( not @ X0 ) @ ( not @ X1 ) ) @ ( implies @ X1 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl64,zip_derived_cl7]) ).
thf(zip_derived_cl413_004,plain,
! [X0: $i,X1: $i] :
( ( or @ X1 @ X0 )
= ( implies @ ( not @ X1 ) @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl360,zip_derived_cl358]) ).
thf(zip_derived_cl535,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ ( or @ X0 @ ( not @ X1 ) ) @ ( implies @ X1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl373,zip_derived_cl413]) ).
thf(zip_derived_cl537,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ ( or @ X0 @ ( not @ ( not @ X1 ) ) ) @ ( or @ X1 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl413,zip_derived_cl535]) ).
thf(zip_derived_cl358_005,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_cl358_006,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_cl391,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_cl358,zip_derived_cl358]) ).
thf(zip_derived_cl360_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_cl658,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_cl391,zip_derived_cl360]) ).
thf(principia_op_and,axiom,
op_and ).
thf(zip_derived_cl79,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_cl359,plain,
! [X0: $i,X1: $i] :
( ( and @ X1 @ X0 )
= ( not @ ( or @ ( not @ X1 ) @ ( not @ X0 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl79,zip_derived_cl56]) ).
thf(principia_op_implies_or,axiom,
op_implies_or ).
thf(zip_derived_cl78,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_cl361,plain,
! [X0: $i,X1: $i] :
( ( implies @ X1 @ X0 )
= ( or @ ( not @ X1 ) @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl78,zip_derived_cl58]) ).
thf(zip_derived_cl398,plain,
! [X0: $i,X1: $i] :
( ( and @ X1 @ X0 )
= ( not @ ( implies @ X1 @ ( not @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl359,zip_derived_cl361]) ).
thf(zip_derived_cl361_008,plain,
! [X0: $i,X1: $i] :
( ( implies @ X1 @ X0 )
= ( or @ ( not @ X1 ) @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl78,zip_derived_cl58]) ).
thf(zip_derived_cl402,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( implies @ ( implies @ X1 @ ( not @ X0 ) ) @ X2 )
= ( or @ ( and @ X1 @ X0 ) @ X2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl398,zip_derived_cl361]) ).
thf(zip_derived_cl988,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( implies @ ( implies @ ( not @ X2 ) @ ( not @ ( not @ X1 ) ) ) @ X0 )
= ( implies @ ( or @ X2 @ X1 ) @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl658,zip_derived_cl402]) ).
thf(zip_derived_cl413_009,plain,
! [X0: $i,X1: $i] :
( ( or @ X1 @ X0 )
= ( implies @ ( not @ X1 ) @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl360,zip_derived_cl358]) ).
thf(zip_derived_cl992,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( implies @ ( or @ X2 @ ( not @ ( not @ X1 ) ) ) @ X0 )
= ( implies @ ( or @ X2 @ X1 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl988,zip_derived_cl413]) ).
thf(zip_derived_cl30619,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ ( or @ X0 @ X1 ) @ ( or @ X1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl537,zip_derived_cl992]) ).
thf(hilbert_implies_3,axiom,
implies_3 ).
thf(zip_derived_cl67,plain,
implies_3,
inference(cnf,[status(esa)],[hilbert_implies_3]) ).
thf(implies_3,axiom,
( implies_3
<=> ! [X: $i,Y: $i,Z: $i] : ( is_a_theorem @ ( implies @ ( implies @ X @ Y ) @ ( implies @ ( implies @ Y @ Z ) @ ( implies @ X @ Z ) ) ) ) ) ).
thf(zip_derived_cl13,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( is_a_theorem @ ( implies @ ( implies @ X0 @ X1 ) @ ( implies @ ( implies @ X1 @ X2 ) @ ( implies @ X0 @ X2 ) ) ) )
| ~ implies_3 ),
inference(cnf,[status(esa)],[implies_3]) ).
thf(zip_derived_cl384,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_cl67,zip_derived_cl13]) ).
thf(zip_derived_cl389_010,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_cl573,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_cl384,zip_derived_cl389]) ).
thf(zip_derived_cl389_011,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_cl6416,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_cl573,zip_derived_cl389]) ).
thf(zip_derived_cl74354,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( is_a_theorem @ ( implies @ ( or @ X1 @ X0 ) @ X2 ) )
| ( is_a_theorem @ ( implies @ ( or @ X0 @ X1 ) @ X2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl30619,zip_derived_cl6416]) ).
thf(zip_derived_cl74389,plain,
! [X0: $i,X1: $i,X2: $i] : ( is_a_theorem @ ( implies @ ( or @ X0 @ X1 ) @ ( or @ X2 @ ( or @ X1 @ X0 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl418,zip_derived_cl74354]) ).
thf(zip_derived_cl418_012,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ X0 @ ( or @ X1 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl413,zip_derived_cl374]) ).
thf(zip_derived_cl6416_013,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_cl573,zip_derived_cl389]) ).
thf(zip_derived_cl74290,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( is_a_theorem @ ( implies @ ( or @ X1 @ X0 ) @ X2 ) )
| ( is_a_theorem @ ( implies @ X0 @ X2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl418,zip_derived_cl6416]) ).
thf(zip_derived_cl76426,plain,
! [X0: $i,X1: $i,X2: $i] : ( is_a_theorem @ ( implies @ X1 @ ( or @ X2 @ ( or @ X1 @ X0 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl74389,zip_derived_cl74290]) ).
thf(zip_derived_cl208524,plain,
~ ( is_a_theorem @ ( implies @ ( or @ sk__50 @ sk__51 ) @ ( or @ sk__50 @ ( or @ sk__49 @ sk__51 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl208355,zip_derived_cl76426]) ).
thf(zip_derived_cl208529,plain,
( ~ ( is_a_theorem @ ( implies @ sk__51 @ ( or @ sk__50 @ ( or @ sk__49 @ sk__51 ) ) ) )
| ~ ( is_a_theorem @ ( implies @ sk__50 @ ( or @ sk__50 @ ( or @ sk__49 @ sk__51 ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6570,zip_derived_cl208524]) ).
thf(zip_derived_cl418_014,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ X0 @ ( or @ X1 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl413,zip_derived_cl374]) ).
thf(zip_derived_cl74290_015,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( is_a_theorem @ ( implies @ ( or @ X1 @ X0 ) @ X2 ) )
| ( is_a_theorem @ ( implies @ X0 @ X2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl418,zip_derived_cl6416]) ).
thf(zip_derived_cl76401,plain,
! [X0: $i,X1: $i,X2: $i] : ( is_a_theorem @ ( implies @ X0 @ ( or @ X2 @ ( or @ X1 @ X0 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl418,zip_derived_cl74290]) ).
thf(hilbert_or_1,axiom,
or_1 ).
thf(zip_derived_cl71,plain,
or_1,
inference(cnf,[status(esa)],[hilbert_or_1]) ).
thf(or_1,axiom,
( or_1
<=> ! [X: $i,Y: $i] : ( is_a_theorem @ ( implies @ X @ ( or @ X @ Y ) ) ) ) ).
thf(zip_derived_cl21,plain,
! [X0: $i,X1: $i] :
( ( is_a_theorem @ ( implies @ X0 @ ( or @ X0 @ X1 ) ) )
| ~ or_1 ),
inference(cnf,[status(esa)],[or_1]) ).
thf(zip_derived_cl379,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ X1 @ ( or @ X1 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl71,zip_derived_cl21]) ).
thf(zip_derived_cl208564,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl208529,zip_derived_cl76401,zip_derived_cl379]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL457+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.cnmL6pyHTL true
% 0.13/0.35 % Computer : n010.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 : Fri Aug 25 00:04:35 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.36 % 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
% 0.21/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.60/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.60/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.60/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.60/0.78 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 237.76/34.67 % Solved by fo/fo6_bce.sh.
% 237.76/34.67 % BCE start: 82
% 237.76/34.67 % BCE eliminated: 0
% 237.76/34.67 % PE start: 82
% 237.76/34.67 logic: eq
% 237.76/34.67 % PE eliminated: 50
% 237.76/34.67 % done 8874 iterations in 33.926s
% 237.76/34.67 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 237.76/34.67 % SZS output start Refutation
% See solution above
% 237.76/34.67
% 237.76/34.67
% 237.76/34.67 % Terminating...
% 237.76/34.75 % Runner terminated.
% 237.76/34.76 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------