TSTP Solution File: LCL493+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL493+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.S10dEMObTO true
% Computer : n027.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 08:59:56 EDT 2023
% Result : Theorem 10.34s 2.06s
% Output : Refutation 10.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 47
% Syntax : Number of formulae : 163 ( 92 unt; 21 typ; 0 def)
% Number of atoms : 208 ( 53 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 915 ( 54 ~; 50 |; 1 &; 795 @)
% ( 8 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 10 ( 10 >; 0 *; 0 +; 0 <<)
% Number of symbols : 23 ( 21 usr; 16 con; 0-2 aty)
% Number of variables : 221 ( 0 ^; 221 !; 0 ?; 221 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__26_type,type,
sk__26: $i ).
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(r2_type,type,
r2: $o ).
thf(equivalence_1_type,type,
equivalence_1: $o ).
thf(op_equiv_type,type,
op_equiv: $o ).
thf(r1_type,type,
r1: $o ).
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(r3_type,type,
r3: $o ).
thf(equiv_type,type,
equiv: $i > $i > $i ).
thf(modus_ponens_type,type,
modus_ponens: $o ).
thf(sk__27_type,type,
sk__27: $i ).
thf(r5_type,type,
r5: $o ).
thf(r4_type,type,
r4: $o ).
thf(implies_type,type,
implies: $i > $i > $i ).
thf(substitution_of_equivalents_type,type,
substitution_of_equivalents: $o ).
thf(not_type,type,
not: $i > $i ).
thf(equivalence_1,axiom,
( equivalence_1
<=> ! [X: $i,Y: $i] : ( is_a_theorem @ ( implies @ ( equiv @ X @ Y ) @ ( implies @ X @ Y ) ) ) ) ).
thf(zip_derived_cl28,plain,
( equivalence_1
| ~ ( is_a_theorem @ ( implies @ ( equiv @ sk__26 @ sk__27 ) @ ( implies @ sk__26 @ sk__27 ) ) ) ),
inference(cnf,[status(esa)],[equivalence_1]) ).
thf(hilbert_equivalence_1,conjecture,
equivalence_1 ).
thf(zf_stmt_0,negated_conjecture,
~ equivalence_1,
inference('cnf.neg',[status(esa)],[hilbert_equivalence_1]) ).
thf(zip_derived_cl73,plain,
~ equivalence_1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl363,plain,
~ ( is_a_theorem @ ( implies @ ( equiv @ sk__26 @ sk__27 ) @ ( implies @ sk__26 @ sk__27 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl28,zip_derived_cl73]) ).
thf(principia_op_equiv,axiom,
op_equiv ).
thf(zip_derived_cl62,plain,
op_equiv,
inference(cnf,[status(esa)],[principia_op_equiv]) ).
thf(op_equiv,axiom,
( op_equiv
=> ! [X: $i,Y: $i] :
( ( equiv @ X @ Y )
= ( and @ ( implies @ X @ Y ) @ ( implies @ Y @ X ) ) ) ) ).
thf(zip_derived_cl59,plain,
! [X0: $i,X1: $i] :
( ( ( equiv @ X0 @ X1 )
= ( and @ ( implies @ X0 @ X1 ) @ ( implies @ X1 @ X0 ) ) )
| ~ op_equiv ),
inference(cnf,[status(esa)],[op_equiv]) ).
thf(zip_derived_cl356,plain,
! [X0: $i,X1: $i] :
( ( equiv @ X1 @ X0 )
= ( and @ ( implies @ X1 @ X0 ) @ ( implies @ X0 @ X1 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl62,zip_derived_cl59]) ).
thf(principia_op_and,axiom,
op_and ).
thf(zip_derived_cl61,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_cl335,plain,
! [X0: $i,X1: $i] :
( ( and @ X1 @ X0 )
= ( not @ ( or @ ( not @ X1 ) @ ( not @ X0 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl61,zip_derived_cl56]) ).
thf(principia_op_implies_or,axiom,
op_implies_or ).
thf(zip_derived_cl60,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_cl337,plain,
! [X0: $i,X1: $i] :
( ( implies @ X1 @ X0 )
= ( or @ ( not @ X1 ) @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl60,zip_derived_cl58]) ).
thf(zip_derived_cl384,plain,
! [X0: $i,X1: $i] :
( ( and @ X1 @ X0 )
= ( not @ ( implies @ X1 @ ( not @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl335,zip_derived_cl337]) ).
thf(zip_derived_cl427,plain,
! [X0: $i,X1: $i] :
( ( equiv @ X1 @ X0 )
= ( not @ ( implies @ ( implies @ X1 @ X0 ) @ ( not @ ( implies @ X0 @ X1 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl356,zip_derived_cl384]) ).
thf(zip_derived_cl428,plain,
~ ( is_a_theorem @ ( implies @ ( not @ ( implies @ ( implies @ sk__26 @ sk__27 ) @ ( not @ ( implies @ sk__27 @ sk__26 ) ) ) ) @ ( implies @ sk__26 @ sk__27 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl363,zip_derived_cl427]) ).
thf(hilbert_op_or,axiom,
op_or ).
thf(zip_derived_cl70,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_cl334,plain,
! [X0: $i,X1: $i] :
( ( or @ X1 @ X0 )
= ( not @ ( and @ ( not @ X1 ) @ ( not @ X0 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl70,zip_derived_cl55]) ).
thf(hilbert_op_implies_and,axiom,
op_implies_and ).
thf(zip_derived_cl71,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_cl336,plain,
! [X0: $i,X1: $i] :
( ( implies @ X1 @ X0 )
= ( not @ ( and @ X1 @ ( not @ X0 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl71,zip_derived_cl57]) ).
thf(zip_derived_cl374,plain,
! [X0: $i,X1: $i] :
( ( or @ X1 @ X0 )
= ( implies @ ( not @ X1 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl334,zip_derived_cl336]) ).
thf(zip_derived_cl337_001,plain,
! [X0: $i,X1: $i] :
( ( implies @ X1 @ X0 )
= ( or @ ( not @ X1 ) @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl60,zip_derived_cl58]) ).
thf(zip_derived_cl379,plain,
! [X0: $i,X1: $i] :
( ( implies @ X1 @ X0 )
= ( implies @ ( not @ ( not @ X1 ) ) @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl374,zip_derived_cl337]) ).
thf(principia_r2,axiom,
r2 ).
thf(zip_derived_cl65,plain,
r2,
inference(cnf,[status(esa)],[principia_r2]) ).
thf(r2,axiom,
( r2
<=> ! [P: $i,Q: $i] : ( is_a_theorem @ ( implies @ Q @ ( or @ P @ Q ) ) ) ) ).
thf(zip_derived_cl47,plain,
! [X0: $i,X1: $i] :
( ( is_a_theorem @ ( implies @ X0 @ ( or @ X1 @ X0 ) ) )
| ~ r2 ),
inference(cnf,[status(esa)],[r2]) ).
thf(zip_derived_cl358,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ X0 @ ( or @ X1 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl65,zip_derived_cl47]) ).
thf(zip_derived_cl334_002,plain,
! [X0: $i,X1: $i] :
( ( or @ X1 @ X0 )
= ( not @ ( and @ ( not @ X1 ) @ ( not @ X0 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl70,zip_derived_cl55]) ).
thf(zip_derived_cl371,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ X0 @ ( not @ ( and @ ( not @ X1 ) @ ( not @ X0 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl358,zip_derived_cl334]) ).
thf(zip_derived_cl336_003,plain,
! [X0: $i,X1: $i] :
( ( implies @ X1 @ X0 )
= ( not @ ( and @ X1 @ ( not @ X0 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl71,zip_derived_cl57]) ).
thf(zip_derived_cl375,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ X0 @ ( implies @ ( not @ X1 ) @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl371,zip_derived_cl336]) ).
thf(zip_derived_cl391,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ X0 @ ( implies @ X1 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl379,zip_derived_cl375]) ).
thf(zip_derived_cl379_004,plain,
! [X0: $i,X1: $i] :
( ( implies @ X1 @ X0 )
= ( implies @ ( not @ ( not @ X1 ) ) @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl374,zip_derived_cl337]) ).
thf(principia_r1,axiom,
r1 ).
thf(zip_derived_cl64,plain,
r1,
inference(cnf,[status(esa)],[principia_r1]) ).
thf(r1,axiom,
( r1
<=> ! [P: $i] : ( is_a_theorem @ ( implies @ ( or @ P @ P ) @ P ) ) ) ).
thf(zip_derived_cl45,plain,
! [X0: $i] :
( ( is_a_theorem @ ( implies @ ( or @ X0 @ X0 ) @ X0 ) )
| ~ r1 ),
inference(cnf,[status(esa)],[r1]) ).
thf(zip_derived_cl357,plain,
! [X0: $i] : ( is_a_theorem @ ( implies @ ( or @ X0 @ X0 ) @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl64,zip_derived_cl45]) ).
thf(zip_derived_cl334_005,plain,
! [X0: $i,X1: $i] :
( ( or @ X1 @ X0 )
= ( not @ ( and @ ( not @ X1 ) @ ( not @ X0 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl70,zip_derived_cl55]) ).
thf(zip_derived_cl369,plain,
! [X0: $i] : ( is_a_theorem @ ( implies @ ( not @ ( and @ ( not @ X0 ) @ ( not @ X0 ) ) ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl357,zip_derived_cl334]) ).
thf(zip_derived_cl384_006,plain,
! [X0: $i,X1: $i] :
( ( and @ X1 @ X0 )
= ( not @ ( implies @ X1 @ ( not @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl335,zip_derived_cl337]) ).
thf(zip_derived_cl336_007,plain,
! [X0: $i,X1: $i] :
( ( implies @ X1 @ X0 )
= ( not @ ( and @ X1 @ ( not @ X0 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl71,zip_derived_cl57]) ).
thf(zip_derived_cl384_008,plain,
! [X0: $i,X1: $i] :
( ( and @ X1 @ X0 )
= ( not @ ( implies @ X1 @ ( not @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl335,zip_derived_cl337]) ).
thf(zip_derived_cl385,plain,
! [X0: $i,X1: $i] :
( ( implies @ X1 @ X0 )
= ( not @ ( not @ ( implies @ X1 @ ( not @ ( not @ X0 ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl336,zip_derived_cl384]) ).
thf(zip_derived_cl489,plain,
! [X0: $i] : ( is_a_theorem @ ( implies @ ( implies @ ( not @ X0 ) @ X0 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl369,zip_derived_cl384,zip_derived_cl385]) ).
thf(zip_derived_cl494,plain,
! [X0: $i] : ( is_a_theorem @ ( implies @ ( implies @ X0 @ ( not @ X0 ) ) @ ( not @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl379,zip_derived_cl489]) ).
thf(zip_derived_cl379_009,plain,
! [X0: $i,X1: $i] :
( ( implies @ X1 @ X0 )
= ( implies @ ( not @ ( not @ X1 ) ) @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl374,zip_derived_cl337]) ).
thf(principia_r3,axiom,
r3 ).
thf(zip_derived_cl66,plain,
r3,
inference(cnf,[status(esa)],[principia_r3]) ).
thf(r3,axiom,
( r3
<=> ! [P: $i,Q: $i] : ( is_a_theorem @ ( implies @ ( or @ P @ Q ) @ ( or @ Q @ P ) ) ) ) ).
thf(zip_derived_cl49,plain,
! [X0: $i,X1: $i] :
( ( is_a_theorem @ ( implies @ ( or @ X0 @ X1 ) @ ( or @ X1 @ X0 ) ) )
| ~ r3 ),
inference(cnf,[status(esa)],[r3]) ).
thf(zip_derived_cl359,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ ( or @ X0 @ X1 ) @ ( or @ X1 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl66,zip_derived_cl49]) ).
thf(zip_derived_cl374_010,plain,
! [X0: $i,X1: $i] :
( ( or @ X1 @ X0 )
= ( implies @ ( not @ X1 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl334,zip_derived_cl336]) ).
thf(zip_derived_cl374_011,plain,
! [X0: $i,X1: $i] :
( ( or @ X1 @ X0 )
= ( implies @ ( not @ X1 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl334,zip_derived_cl336]) ).
thf(zip_derived_cl402,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ ( implies @ ( not @ X0 ) @ X1 ) @ ( implies @ ( not @ X1 ) @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl359,zip_derived_cl374,zip_derived_cl374]) ).
thf(principia_modus_ponens,axiom,
modus_ponens ).
thf(zip_derived_cl63,plain,
modus_ponens,
inference(cnf,[status(esa)],[principia_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_cl365,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_cl403,plain,
! [X0: $i,X1: $i] :
( ( is_a_theorem @ ( implies @ ( not @ X1 ) @ X0 ) )
| ~ ( is_a_theorem @ ( implies @ ( not @ X0 ) @ X1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl402,zip_derived_cl365]) ).
thf(zip_derived_cl603,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ ( implies @ X1 @ X0 ) )
| ( is_a_theorem @ ( implies @ ( not @ X0 ) @ ( not @ X1 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl379,zip_derived_cl403]) ).
thf(zip_derived_cl908,plain,
! [X0: $i] : ( is_a_theorem @ ( implies @ ( not @ ( not @ X0 ) ) @ ( not @ ( implies @ X0 @ ( not @ X0 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl494,zip_derived_cl603]) ).
thf(zip_derived_cl379_012,plain,
! [X0: $i,X1: $i] :
( ( implies @ X1 @ X0 )
= ( implies @ ( not @ ( not @ X1 ) ) @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl374,zip_derived_cl337]) ).
thf(zip_derived_cl913,plain,
! [X0: $i] : ( is_a_theorem @ ( implies @ X0 @ ( not @ ( implies @ X0 @ ( not @ X0 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl908,zip_derived_cl379]) ).
thf(zip_derived_cl365_013,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_cl1135,plain,
! [X0: $i] :
( ( is_a_theorem @ ( not @ ( implies @ X0 @ ( not @ X0 ) ) ) )
| ~ ( is_a_theorem @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl913,zip_derived_cl365]) ).
thf(zip_derived_cl379_014,plain,
! [X0: $i,X1: $i] :
( ( implies @ X1 @ X0 )
= ( implies @ ( not @ ( not @ X1 ) ) @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl374,zip_derived_cl337]) ).
thf(substitution_of_equivalents,axiom,
substitution_of_equivalents ).
thf(zip_derived_cl69,plain,
substitution_of_equivalents,
inference(cnf,[status(esa)],[substitution_of_equivalents]) ).
thf(substitution_of_equivalents_015,axiom,
( substitution_of_equivalents
<=> ! [X: $i,Y: $i] :
( ( is_a_theorem @ ( equiv @ X @ Y ) )
=> ( X = Y ) ) ) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ ( equiv @ X0 @ X1 ) )
| ( X0 = X1 )
| ~ substitution_of_equivalents ),
inference(cnf,[status(esa)],[substitution_of_equivalents]) ).
thf(zip_derived_cl364,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ~ ( is_a_theorem @ ( equiv @ X1 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl69,zip_derived_cl4]) ).
thf(zip_derived_cl427_016,plain,
! [X0: $i,X1: $i] :
( ( equiv @ X1 @ X0 )
= ( not @ ( implies @ ( implies @ X1 @ X0 ) @ ( not @ ( implies @ X0 @ X1 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl356,zip_derived_cl384]) ).
thf(zip_derived_cl429,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ~ ( is_a_theorem @ ( not @ ( implies @ ( implies @ X1 @ X0 ) @ ( not @ ( implies @ X0 @ X1 ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl364,zip_derived_cl427]) ).
thf(zip_derived_cl454,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ ( not @ ( implies @ ( implies @ X0 @ ( not @ ( not @ X1 ) ) ) @ ( not @ ( implies @ X1 @ X0 ) ) ) ) )
| ( X0
= ( not @ ( not @ X1 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl379,zip_derived_cl429]) ).
thf(zip_derived_cl385_017,plain,
! [X0: $i,X1: $i] :
( ( implies @ X1 @ X0 )
= ( not @ ( not @ ( implies @ X1 @ ( not @ ( not @ X0 ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl336,zip_derived_cl384]) ).
thf(zip_derived_cl379_018,plain,
! [X0: $i,X1: $i] :
( ( implies @ X1 @ X0 )
= ( implies @ ( not @ ( not @ X1 ) ) @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl374,zip_derived_cl337]) ).
thf(zip_derived_cl480,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( implies @ ( implies @ X1 @ ( not @ ( not @ X0 ) ) ) @ X2 )
= ( implies @ ( implies @ X1 @ X0 ) @ X2 ) ),
inference('sup+',[status(thm)],[zip_derived_cl385,zip_derived_cl379]) ).
thf(zip_derived_cl1782,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ ( not @ ( implies @ ( implies @ X0 @ X1 ) @ ( not @ ( implies @ X1 @ X0 ) ) ) ) )
| ( X0
= ( not @ ( not @ X1 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl454,zip_derived_cl480]) ).
thf(zip_derived_cl8361,plain,
! [X0: $i] :
( ~ ( is_a_theorem @ ( implies @ X0 @ X0 ) )
| ( X0
= ( not @ ( not @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1135,zip_derived_cl1782]) ).
thf(zip_derived_cl391_019,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ X0 @ ( implies @ X1 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl379,zip_derived_cl375]) ).
thf(principia_r4,axiom,
r4 ).
thf(zip_derived_cl67,plain,
r4,
inference(cnf,[status(esa)],[principia_r4]) ).
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_cl51,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( is_a_theorem @ ( implies @ ( or @ X0 @ ( or @ X1 @ X2 ) ) @ ( or @ X1 @ ( or @ X0 @ X2 ) ) ) )
| ~ r4 ),
inference(cnf,[status(esa)],[r4]) ).
thf(zip_derived_cl360,plain,
! [X0: $i,X1: $i,X2: $i] : ( is_a_theorem @ ( implies @ ( or @ X1 @ ( or @ X2 @ X0 ) ) @ ( or @ X2 @ ( or @ X1 @ X0 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl67,zip_derived_cl51]) ).
thf(zip_derived_cl374_020,plain,
! [X0: $i,X1: $i] :
( ( or @ X1 @ X0 )
= ( implies @ ( not @ X1 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl334,zip_derived_cl336]) ).
thf(zip_derived_cl374_021,plain,
! [X0: $i,X1: $i] :
( ( or @ X1 @ X0 )
= ( implies @ ( not @ X1 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl334,zip_derived_cl336]) ).
thf(zip_derived_cl374_022,plain,
! [X0: $i,X1: $i] :
( ( or @ X1 @ X0 )
= ( implies @ ( not @ X1 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl334,zip_derived_cl336]) ).
thf(zip_derived_cl374_023,plain,
! [X0: $i,X1: $i] :
( ( or @ X1 @ X0 )
= ( implies @ ( not @ X1 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl334,zip_derived_cl336]) ).
thf(zip_derived_cl500,plain,
! [X0: $i,X1: $i,X2: $i] : ( is_a_theorem @ ( implies @ ( implies @ ( not @ X1 ) @ ( implies @ ( not @ X2 ) @ X0 ) ) @ ( implies @ ( not @ X2 ) @ ( implies @ ( not @ X1 ) @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl360,zip_derived_cl374,zip_derived_cl374,zip_derived_cl374,zip_derived_cl374]) ).
thf(zip_derived_cl365_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_cl501,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( is_a_theorem @ ( implies @ ( not @ X2 ) @ ( implies @ ( not @ X1 ) @ X0 ) ) )
| ~ ( is_a_theorem @ ( implies @ ( not @ X1 ) @ ( implies @ ( not @ X2 ) @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl500,zip_derived_cl365]) ).
thf(zip_derived_cl2255,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ ( not @ X1 ) @ ( implies @ ( not @ X0 ) @ ( not @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl391,zip_derived_cl501]) ).
thf(zip_derived_cl489_025,plain,
! [X0: $i] : ( is_a_theorem @ ( implies @ ( implies @ ( not @ X0 ) @ X0 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl369,zip_derived_cl384,zip_derived_cl385]) ).
thf(zip_derived_cl365_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_cl490,plain,
! [X0: $i] :
( ( is_a_theorem @ X0 )
| ~ ( is_a_theorem @ ( implies @ ( not @ X0 ) @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl489,zip_derived_cl365]) ).
thf(zip_derived_cl6273,plain,
! [X0: $i] : ( is_a_theorem @ ( implies @ ( not @ X0 ) @ ( not @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl2255,zip_derived_cl490]) ).
thf(zip_derived_cl379_027,plain,
! [X0: $i,X1: $i] :
( ( implies @ X1 @ X0 )
= ( implies @ ( not @ ( not @ X1 ) ) @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl374,zip_derived_cl337]) ).
thf(zip_derived_cl402_028,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ ( implies @ ( not @ X0 ) @ X1 ) @ ( implies @ ( not @ X1 ) @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl359,zip_derived_cl374,zip_derived_cl374]) ).
thf(zip_derived_cl405,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ ( implies @ ( not @ X0 ) @ ( not @ X1 ) ) @ ( implies @ X1 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl379,zip_derived_cl402]) ).
thf(zip_derived_cl365_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_cl636,plain,
! [X0: $i,X1: $i] :
( ( is_a_theorem @ ( implies @ X1 @ X0 ) )
| ~ ( is_a_theorem @ ( implies @ ( not @ X0 ) @ ( not @ X1 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl405,zip_derived_cl365]) ).
thf(zip_derived_cl6349,plain,
! [X0: $i] : ( is_a_theorem @ ( implies @ X0 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl6273,zip_derived_cl636]) ).
thf(zip_derived_cl8375,plain,
! [X0: $i] :
( X0
= ( not @ ( not @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8361,zip_derived_cl6349]) ).
thf(principia_r5,axiom,
r5 ).
thf(zip_derived_cl68,plain,
r5,
inference(cnf,[status(esa)],[principia_r5]) ).
thf(r5,axiom,
( r5
<=> ! [P: $i,Q: $i,R: $i] : ( is_a_theorem @ ( implies @ ( implies @ Q @ R ) @ ( implies @ ( or @ P @ Q ) @ ( or @ P @ R ) ) ) ) ) ).
thf(zip_derived_cl53,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( is_a_theorem @ ( implies @ ( implies @ X0 @ X1 ) @ ( implies @ ( or @ X2 @ X0 ) @ ( or @ X2 @ X1 ) ) ) )
| ~ r5 ),
inference(cnf,[status(esa)],[r5]) ).
thf(zip_derived_cl361,plain,
! [X0: $i,X1: $i,X2: $i] : ( is_a_theorem @ ( implies @ ( implies @ X2 @ X0 ) @ ( implies @ ( or @ X1 @ X2 ) @ ( or @ X1 @ X0 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl68,zip_derived_cl53]) ).
thf(zip_derived_cl374_030,plain,
! [X0: $i,X1: $i] :
( ( or @ X1 @ X0 )
= ( implies @ ( not @ X1 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl334,zip_derived_cl336]) ).
thf(zip_derived_cl374_031,plain,
! [X0: $i,X1: $i] :
( ( or @ X1 @ X0 )
= ( implies @ ( not @ X1 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl334,zip_derived_cl336]) ).
thf(zip_derived_cl542,plain,
! [X0: $i,X1: $i,X2: $i] : ( is_a_theorem @ ( implies @ ( implies @ X2 @ X0 ) @ ( implies @ ( implies @ ( not @ X1 ) @ X2 ) @ ( implies @ ( not @ X1 ) @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl361,zip_derived_cl374,zip_derived_cl374]) ).
thf(zip_derived_cl365_032,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_cl543,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( is_a_theorem @ ( implies @ ( implies @ ( not @ X1 ) @ X2 ) @ ( implies @ ( not @ X1 ) @ X0 ) ) )
| ~ ( is_a_theorem @ ( implies @ X2 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl542,zip_derived_cl365]) ).
thf(zip_derived_cl365_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_cl3101,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( is_a_theorem @ ( implies @ X2 @ X0 ) )
| ( is_a_theorem @ ( implies @ ( not @ X1 ) @ X0 ) )
| ~ ( is_a_theorem @ ( implies @ ( not @ X1 ) @ X2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl543,zip_derived_cl365]) ).
thf(zip_derived_cl8822,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( is_a_theorem @ ( implies @ X0 @ X1 ) )
| ( is_a_theorem @ ( implies @ ( not @ ( not @ X0 ) ) @ X2 ) )
| ~ ( is_a_theorem @ ( implies @ X1 @ X2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl8375,zip_derived_cl3101]) ).
thf(zip_derived_cl8375_034,plain,
! [X0: $i] :
( X0
= ( not @ ( not @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8361,zip_derived_cl6349]) ).
thf(zip_derived_cl8829,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( is_a_theorem @ ( implies @ X0 @ X1 ) )
| ( is_a_theorem @ ( implies @ X0 @ X2 ) )
| ~ ( is_a_theorem @ ( implies @ X1 @ X2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8822,zip_derived_cl8375]) ).
thf(zip_derived_cl8884,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( is_a_theorem @ ( implies @ ( implies @ X1 @ X0 ) @ X2 ) )
| ( is_a_theorem @ ( implies @ X0 @ X2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl391,zip_derived_cl8829]) ).
thf(zip_derived_cl405_035,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ ( implies @ ( not @ X0 ) @ ( not @ X1 ) ) @ ( implies @ X1 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl379,zip_derived_cl402]) ).
thf(zip_derived_cl9013,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ ( not @ X1 ) @ ( implies @ X1 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl8884,zip_derived_cl405]) ).
thf(zip_derived_cl403_036,plain,
! [X0: $i,X1: $i] :
( ( is_a_theorem @ ( implies @ ( not @ X1 ) @ X0 ) )
| ~ ( is_a_theorem @ ( implies @ ( not @ X0 ) @ X1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl402,zip_derived_cl365]) ).
thf(zip_derived_cl9099,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ ( not @ ( implies @ X1 @ X0 ) ) @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl9013,zip_derived_cl403]) ).
thf(zip_derived_cl9149,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl428,zip_derived_cl9099]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL493+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.S10dEMObTO true
% 0.14/0.34 % Computer : n027.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Thu Aug 24 18:02:17 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Running portfolio for 300 s
% 0.14/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.34 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.21/0.63 % Total configuration time : 435
% 0.21/0.63 % Estimated wc time : 1092
% 0.21/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.71 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.78 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 10.34/2.06 % Solved by fo/fo3_bce.sh.
% 10.34/2.06 % BCE start: 74
% 10.34/2.06 % BCE eliminated: 0
% 10.34/2.06 % PE start: 74
% 10.34/2.06 logic: eq
% 10.34/2.06 % PE eliminated: 42
% 10.34/2.06 % done 2279 iterations in 1.324s
% 10.34/2.06 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 10.34/2.06 % SZS output start Refutation
% See solution above
% 10.34/2.06
% 10.34/2.06
% 10.34/2.06 % Terminating...
% 10.62/2.17 % Runner terminated.
% 10.62/2.17 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------