TSTP Solution File: LCL504+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL504+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.G8hvamoutu true
% Computer : n009.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 08:59:59 EDT 2023
% Result : Theorem 150.60s 22.32s
% Output : Refutation 150.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 28
% Syntax : Number of formulae : 134 ( 69 unt; 14 typ; 0 def)
% Number of atoms : 186 ( 31 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 932 ( 60 ~; 57 |; 1 &; 806 @)
% ( 5 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 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 : 229 ( 0 ^; 229 !; 0 ?; 229 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__9_type,type,
sk__9: $i ).
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(op_implies_and_type,type,
op_implies_and: $o ).
thf(sk__8_type,type,
sk__8: $i ).
thf(or_type,type,
or: $i > $i > $i ).
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(implies_2_type,type,
implies_2: $o ).
thf(kn3_type,type,
kn3: $o ).
thf(not_type,type,
not: $i > $i ).
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_cl12,plain,
( implies_2
| ~ ( is_a_theorem @ ( implies @ ( implies @ sk__8 @ ( implies @ sk__8 @ sk__9 ) ) @ ( implies @ sk__8 @ sk__9 ) ) ) ),
inference(cnf,[status(esa)],[implies_2]) ).
thf(hilbert_implies_2,conjecture,
implies_2 ).
thf(zf_stmt_0,negated_conjecture,
~ implies_2,
inference('cnf.neg',[status(esa)],[hilbert_implies_2]) ).
thf(zip_derived_cl71,plain,
~ implies_2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl351,plain,
~ ( is_a_theorem @ ( implies @ ( implies @ sk__8 @ ( implies @ sk__8 @ sk__9 ) ) @ ( implies @ sk__8 @ sk__9 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl12,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_cl344,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_cl345,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_cl345_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_cl344_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_cl372,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_cl345,zip_derived_cl344]) ).
thf(zip_derived_cl345_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_cl374,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( or @ ( and @ X1 @ ( not @ X0 ) ) @ X2 )
= ( implies @ ( implies @ X1 @ X0 ) @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl372,zip_derived_cl345]) ).
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_cl349,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_cl345_004,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_cl344_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_cl367,plain,
! [X0: $i,X1: $i] :
( ( or @ X1 @ X0 )
= ( implies @ ( not @ X1 ) @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl345,zip_derived_cl344]) ).
thf(zip_derived_cl454,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_cl349,zip_derived_cl367]) ).
thf(zip_derived_cl485,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_cl374,zip_derived_cl454]) ).
thf(zip_derived_cl532,plain,
! [X0: $i,X1: $i,X2: $i] : ( is_a_theorem @ ( implies @ ( implies @ ( not @ X0 ) @ X2 ) @ ( implies @ ( implies @ X2 @ X1 ) @ ( implies @ ( not @ X1 ) @ X0 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl345,zip_derived_cl485]) ).
thf(zip_derived_cl367_006,plain,
! [X0: $i,X1: $i] :
( ( or @ X1 @ X0 )
= ( implies @ ( not @ X1 ) @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl345,zip_derived_cl344]) ).
thf(zip_derived_cl367_007,plain,
! [X0: $i,X1: $i] :
( ( or @ X1 @ X0 )
= ( implies @ ( not @ X1 ) @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl345,zip_derived_cl344]) ).
thf(zip_derived_cl540,plain,
! [X0: $i,X1: $i,X2: $i] : ( is_a_theorem @ ( implies @ ( or @ X0 @ X2 ) @ ( implies @ ( implies @ X2 @ X1 ) @ ( or @ X1 @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl532,zip_derived_cl367,zip_derived_cl367]) ).
thf(zip_derived_cl374_008,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( or @ ( and @ X1 @ ( not @ X0 ) ) @ X2 )
= ( implies @ ( implies @ X1 @ X0 ) @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl372,zip_derived_cl345]) ).
thf(zip_derived_cl485_009,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_cl374,zip_derived_cl454]) ).
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_cl347,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_cl345_010,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_011,plain,
! [X0: $i,X1: $i] :
( ( or @ X1 @ X0 )
= ( implies @ ( not @ X1 ) @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl345,zip_derived_cl344]) ).
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_cl353,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_cl379,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_cl353]) ).
thf(zip_derived_cl386,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_cl345,zip_derived_cl379]) ).
thf(zip_derived_cl388,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_cl347,zip_derived_cl386]) ).
thf(zip_derived_cl374_012,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( or @ ( and @ X1 @ ( not @ X0 ) ) @ X2 )
= ( implies @ ( implies @ X1 @ X0 ) @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl372,zip_derived_cl345]) ).
thf(zip_derived_cl480,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_cl388,zip_derived_cl374]) ).
thf(zip_derived_cl527,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_cl485,zip_derived_cl480]) ).
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_cl348,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_cl386_013,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_cl345,zip_derived_cl379]) ).
thf(zip_derived_cl389,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_cl348,zip_derived_cl386]) ).
thf(zip_derived_cl374_014,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( or @ ( and @ X1 @ ( not @ X0 ) ) @ X2 )
= ( implies @ ( implies @ X1 @ X0 ) @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl372,zip_derived_cl345]) ).
thf(zip_derived_cl481,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_cl389,zip_derived_cl374]) ).
thf(zip_derived_cl624,plain,
! [X0: $i] : ( is_a_theorem @ ( not @ ( and @ ( not @ X0 ) @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl527,zip_derived_cl481]) ).
thf(zip_derived_cl379_015,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_cl353]) ).
thf(zip_derived_cl638,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_cl624,zip_derived_cl379]) ).
thf(zip_derived_cl678,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ ( implies @ ( implies @ ( not @ ( not @ X1 ) ) @ X1 ) @ X0 ) )
| ( is_a_theorem @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl374,zip_derived_cl638]) ).
thf(zip_derived_cl367_016,plain,
! [X0: $i,X1: $i] :
( ( or @ X1 @ X0 )
= ( implies @ ( not @ X1 ) @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl345,zip_derived_cl344]) ).
thf(zip_derived_cl683,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ ( implies @ ( or @ ( not @ X1 ) @ X1 ) @ X0 ) )
| ( is_a_theorem @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl678,zip_derived_cl367]) ).
thf(zip_derived_cl896,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ ( implies @ X0 @ X1 ) @ ( or @ X1 @ ( not @ X0 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl540,zip_derived_cl683]) ).
thf(zip_derived_cl481_017,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_cl389,zip_derived_cl374]) ).
thf(zip_derived_cl1053,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( or @ X1 @ ( not @ ( and @ X1 @ X0 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl896,zip_derived_cl481]) ).
thf(zip_derived_cl1117,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( or @ ( not @ X1 ) @ ( or @ X1 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl344,zip_derived_cl1053]) ).
thf(zip_derived_cl540_018,plain,
! [X0: $i,X1: $i,X2: $i] : ( is_a_theorem @ ( implies @ ( or @ X0 @ X2 ) @ ( implies @ ( implies @ X2 @ X1 ) @ ( or @ X1 @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl532,zip_derived_cl367,zip_derived_cl367]) ).
thf(zip_derived_cl353_019,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_cl894,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( is_a_theorem @ ( or @ X0 @ X2 ) )
| ( is_a_theorem @ ( implies @ ( implies @ X2 @ X1 ) @ ( or @ X1 @ X0 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl540,zip_derived_cl353]) ).
thf(zip_derived_cl345_020,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_cl1053_021,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( or @ X1 @ ( not @ ( and @ X1 @ X0 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl896,zip_derived_cl481]) ).
thf(zip_derived_cl1113,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( or @ X1 @ ( implies @ X1 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl345,zip_derived_cl1053]) ).
thf(zip_derived_cl894_022,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( is_a_theorem @ ( or @ X0 @ X2 ) )
| ( is_a_theorem @ ( implies @ ( implies @ X2 @ X1 ) @ ( or @ X1 @ X0 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl540,zip_derived_cl353]) ).
thf(zip_derived_cl345_023,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_cl345_024,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_cl359,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_cl345,zip_derived_cl345]) ).
thf(zip_derived_cl454_025,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_cl349,zip_derived_cl367]) ).
thf(zip_derived_cl353_026,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_cl455,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_cl454,zip_derived_cl353]) ).
thf(zip_derived_cl638_027,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_cl624,zip_derived_cl379]) ).
thf(zip_derived_cl1965,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_cl455,zip_derived_cl638]) ).
thf(zip_derived_cl1990,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_cl359,zip_derived_cl1965]) ).
thf(zip_derived_cl344_028,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_cl527_029,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_cl485,zip_derived_cl480]) ).
thf(zip_derived_cl628,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_cl344,zip_derived_cl527]) ).
thf(zip_derived_cl353_030,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_cl743,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_cl628,zip_derived_cl353]) ).
thf(zip_derived_cl89370,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_cl1990,zip_derived_cl743]) ).
thf(zip_derived_cl344_031,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_cl374_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_cl372,zip_derived_cl345]) ).
thf(zip_derived_cl89459,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_cl89370,zip_derived_cl344,zip_derived_cl374]) ).
thf(zip_derived_cl89819,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_cl894,zip_derived_cl89459]) ).
thf(zip_derived_cl90119,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ ( implies @ ( implies @ X1 @ X0 ) @ X1 ) @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1113,zip_derived_cl89819]) ).
thf(zip_derived_cl353_033,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_cl90559,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ ( implies @ ( implies @ X0 @ X1 ) @ X0 ) )
| ( is_a_theorem @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl90119,zip_derived_cl353]) ).
thf(zip_derived_cl90767,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ ( or @ X0 @ ( or @ X1 @ X0 ) ) )
| ( is_a_theorem @ ( or @ X1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl894,zip_derived_cl90559]) ).
thf(zip_derived_cl93024,plain,
! [X0: $i] : ( is_a_theorem @ ( or @ X0 @ ( not @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1117,zip_derived_cl90767]) ).
thf(zip_derived_cl345_034,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_cl1965_035,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_cl455,zip_derived_cl638]) ).
thf(zip_derived_cl1992,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ ( implies @ ( not @ X0 ) @ ( not @ X1 ) ) )
| ( is_a_theorem @ ( implies @ X1 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl345,zip_derived_cl1965]) ).
thf(zip_derived_cl367_036,plain,
! [X0: $i,X1: $i] :
( ( or @ X1 @ X0 )
= ( implies @ ( not @ X1 ) @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl345,zip_derived_cl344]) ).
thf(zip_derived_cl2001,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ ( or @ X0 @ ( not @ X1 ) ) )
| ( is_a_theorem @ ( implies @ X1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1992,zip_derived_cl367]) ).
thf(zip_derived_cl93082,plain,
! [X0: $i] : ( is_a_theorem @ ( implies @ X0 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl93024,zip_derived_cl2001]) ).
thf(zip_derived_cl1113_037,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( or @ X1 @ ( implies @ X1 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl345,zip_derived_cl1053]) ).
thf(zip_derived_cl894_038,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( is_a_theorem @ ( or @ X0 @ X2 ) )
| ( is_a_theorem @ ( implies @ ( implies @ X2 @ X1 ) @ ( or @ X1 @ X0 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl540,zip_derived_cl353]) ).
thf(zip_derived_cl353_039,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_cl21407,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( is_a_theorem @ ( or @ X0 @ X2 ) )
| ~ ( is_a_theorem @ ( implies @ X2 @ X1 ) )
| ( is_a_theorem @ ( or @ X1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl894,zip_derived_cl353]) ).
thf(zip_derived_cl57277,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( is_a_theorem @ ( implies @ ( implies @ X1 @ X0 ) @ X2 ) )
| ( is_a_theorem @ ( or @ X2 @ X1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1113,zip_derived_cl21407]) ).
thf(zip_derived_cl93786,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( or @ ( implies @ X1 @ X0 ) @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl93082,zip_derived_cl57277]) ).
thf(zip_derived_cl89819_040,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_cl894,zip_derived_cl89459]) ).
thf(zip_derived_cl101872,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ ( implies @ X0 @ ( implies @ X0 @ X1 ) ) @ ( implies @ X0 @ X1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl93786,zip_derived_cl89819]) ).
thf(zip_derived_cl102072,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl351,zip_derived_cl101872]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LCL504+1 : TPTP v8.1.2. Released v3.3.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.G8hvamoutu true
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Aug 25 04:19:06 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.34 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.20/0.64 % Total configuration time : 435
% 0.20/0.64 % Estimated wc time : 1092
% 0.20/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.68 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.74 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.74 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.58/0.77 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 150.60/22.32 % Solved by fo/fo6_bce.sh.
% 150.60/22.32 % BCE start: 72
% 150.60/22.32 % BCE eliminated: 2
% 150.60/22.32 % PE start: 70
% 150.60/22.32 logic: eq
% 150.60/22.32 % PE eliminated: 40
% 150.60/22.32 % done 4878 iterations in 21.607s
% 150.60/22.32 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 150.60/22.32 % SZS output start Refutation
% See solution above
% 150.60/22.32
% 150.60/22.32
% 150.60/22.32 % Terminating...
% 151.32/22.40 % Runner terminated.
% 151.32/22.40 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------