TSTP Solution File: LCL458+1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL458+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.FAOWRchPSP true
% Computer : n017.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 76.61s 11.64s
% Output : Refutation 76.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 42
% Syntax : Number of formulae : 114 ( 64 unt; 20 typ; 0 def)
% Number of atoms : 135 ( 40 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 593 ( 30 ~; 27 |; 1 &; 522 @)
% ( 6 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 10 ( 10 >; 0 *; 0 +; 0 <<)
% Number of symbols : 22 ( 20 usr; 15 con; 0-2 aty)
% Number of variables : 152 ( 0 ^; 152 !; 0 ?; 152 :)
% 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(sk__52_type,type,
sk__52: $i ).
thf(op_equiv_type,type,
op_equiv: $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(sk__53_type,type,
sk__53: $i ).
thf(implies_3_type,type,
implies_3: $o ).
thf(equiv_type,type,
equiv: $i > $i > $i ).
thf(and_3_type,type,
and_3: $o ).
thf(sk__54_type,type,
sk__54: $i ).
thf(modus_ponens_type,type,
modus_ponens: $o ).
thf(r5_type,type,
r5: $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(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_cl54,plain,
( r5
| ~ ( is_a_theorem @ ( implies @ ( implies @ sk__53 @ sk__54 ) @ ( implies @ ( or @ sk__52 @ sk__53 ) @ ( or @ sk__52 @ sk__54 ) ) ) ) ),
inference(cnf,[status(esa)],[r5]) ).
thf(principia_r5,conjecture,
r5 ).
thf(zf_stmt_0,negated_conjecture,
~ r5,
inference('cnf.neg',[status(esa)],[principia_r5]) ).
thf(zip_derived_cl81,plain,
~ r5,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl387,plain,
~ ( is_a_theorem @ ( implies @ ( implies @ sk__53 @ sk__54 ) @ ( implies @ ( or @ sk__52 @ sk__53 ) @ ( or @ sk__52 @ sk__54 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl54,zip_derived_cl81]) ).
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_cl412,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_cl412_001,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_cl530,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_cl412]) ).
thf(zip_derived_cl532,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ ( or @ X0 @ ( not @ ( not @ X1 ) ) ) @ ( or @ X1 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl412,zip_derived_cl530]) ).
thf(zip_derived_cl358_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_cl358_003,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_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_cl641,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_cl399,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_005,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_cl403,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_cl399,zip_derived_cl361]) ).
thf(zip_derived_cl959,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_cl641,zip_derived_cl403]) ).
thf(zip_derived_cl412_006,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_cl963,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_cl959,zip_derived_cl412]) ).
thf(zip_derived_cl26958,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ ( or @ X0 @ X1 ) @ ( or @ X1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl532,zip_derived_cl963]) ).
thf(hilbert_op_equiv,axiom,
op_equiv ).
thf(zip_derived_cl62,plain,
op_equiv,
inference(cnf,[status(esa)],[hilbert_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_cl372,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(hilbert_and_3,axiom,
and_3 ).
thf(zip_derived_cl70,plain,
and_3,
inference(cnf,[status(esa)],[hilbert_and_3]) ).
thf(and_3,axiom,
( and_3
<=> ! [X: $i,Y: $i] : ( is_a_theorem @ ( implies @ X @ ( implies @ Y @ ( and @ X @ Y ) ) ) ) ) ).
thf(zip_derived_cl19,plain,
! [X0: $i,X1: $i] :
( ( is_a_theorem @ ( implies @ X0 @ ( implies @ X1 @ ( and @ X0 @ X1 ) ) ) )
| ~ and_3 ),
inference(cnf,[status(esa)],[and_3]) ).
thf(zip_derived_cl378,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ X1 @ ( implies @ X0 @ ( and @ X1 @ X0 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl70,zip_derived_cl19]) ).
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_cl453,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ X1 )
| ( is_a_theorem @ ( implies @ X0 @ ( and @ X1 @ X0 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl378,zip_derived_cl389]) ).
thf(zip_derived_cl389_007,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_cl1962,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ X1 )
| ~ ( is_a_theorem @ X0 )
| ( is_a_theorem @ ( and @ X1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl453,zip_derived_cl389]) ).
thf(zip_derived_cl2197,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ ( implies @ X1 @ X0 ) )
| ~ ( is_a_theorem @ ( implies @ X0 @ X1 ) )
| ( is_a_theorem @ ( equiv @ X1 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl372,zip_derived_cl1962]) ).
thf(substitution_of_equivalents,axiom,
substitution_of_equivalents ).
thf(zip_derived_cl77,plain,
substitution_of_equivalents,
inference(cnf,[status(esa)],[substitution_of_equivalents]) ).
thf(substitution_of_equivalents_008,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_cl388,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ~ ( is_a_theorem @ ( equiv @ X1 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl77,zip_derived_cl4]) ).
thf(zip_derived_cl66627,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ ( implies @ X0 @ X1 ) )
| ~ ( is_a_theorem @ ( implies @ X1 @ X0 ) )
| ( X1 = X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2197,zip_derived_cl388]) ).
thf(zip_derived_cl66762,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ ( implies @ ( or @ X1 @ X0 ) @ ( or @ X0 @ X1 ) ) )
| ( ( or @ X1 @ X0 )
= ( or @ X0 @ X1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl26958,zip_derived_cl66627]) ).
thf(zip_derived_cl26958_009,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ ( or @ X0 @ X1 ) @ ( or @ X1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl532,zip_derived_cl963]) ).
thf(zip_derived_cl66810,plain,
! [X0: $i,X1: $i] :
( ( or @ X1 @ X0 )
= ( or @ X0 @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl66762,zip_derived_cl26958]) ).
thf(zip_derived_cl66810_010,plain,
! [X0: $i,X1: $i] :
( ( or @ X1 @ X0 )
= ( or @ X0 @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl66762,zip_derived_cl26958]) ).
thf(zip_derived_cl66810_011,plain,
! [X0: $i,X1: $i] :
( ( or @ X1 @ X0 )
= ( or @ X0 @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl66762,zip_derived_cl26958]) ).
thf(zip_derived_cl412_012,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_cl412_013,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_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_cl569,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_cl412,zip_derived_cl384]) ).
thf(zip_derived_cl832,plain,
! [X0: $i,X1: $i,X2: $i] : ( is_a_theorem @ ( implies @ ( implies @ ( not @ X1 ) @ ( not @ X2 ) ) @ ( implies @ ( or @ X2 @ X0 ) @ ( or @ X1 @ X0 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl412,zip_derived_cl569]) ).
thf(zip_derived_cl412_014,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_cl844,plain,
! [X0: $i,X1: $i,X2: $i] : ( is_a_theorem @ ( implies @ ( or @ X1 @ ( not @ X2 ) ) @ ( implies @ ( or @ X2 @ X0 ) @ ( or @ X1 @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl832,zip_derived_cl412]) ).
thf(zip_derived_cl66924,plain,
! [X0: $i,X1: $i,X2: $i] : ( is_a_theorem @ ( implies @ ( or @ ( not @ X1 ) @ X0 ) @ ( implies @ ( or @ X1 @ X2 ) @ ( or @ X0 @ X2 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl66810,zip_derived_cl844]) ).
thf(zip_derived_cl361_015,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_cl67118,plain,
! [X0: $i,X1: $i,X2: $i] : ( is_a_theorem @ ( implies @ ( implies @ X1 @ X0 ) @ ( implies @ ( or @ X1 @ X2 ) @ ( or @ X0 @ X2 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl66924,zip_derived_cl361]) ).
thf(zip_derived_cl67385,plain,
! [X0: $i,X1: $i,X2: $i] : ( is_a_theorem @ ( implies @ ( implies @ X2 @ X0 ) @ ( implies @ ( or @ X2 @ X1 ) @ ( or @ X1 @ X0 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl66810,zip_derived_cl67118]) ).
thf(zip_derived_cl68036,plain,
! [X0: $i,X1: $i,X2: $i] : ( is_a_theorem @ ( implies @ ( implies @ X0 @ X2 ) @ ( implies @ ( or @ X1 @ X0 ) @ ( or @ X1 @ X2 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl66810,zip_derived_cl67385]) ).
thf(zip_derived_cl68163,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl387,zip_derived_cl68036]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : LCL458+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.FAOWRchPSP true
% 0.14/0.35 % Computer : n017.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 24 17:41:09 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.22/0.67 % Total configuration time : 435
% 0.22/0.67 % Estimated wc time : 1092
% 0.22/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.09/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.36/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 76.61/11.64 % Solved by fo/fo6_bce.sh.
% 76.61/11.64 % BCE start: 82
% 76.61/11.64 % BCE eliminated: 0
% 76.61/11.64 % PE start: 82
% 76.61/11.64 logic: eq
% 76.61/11.64 % PE eliminated: 50
% 76.61/11.64 % done 3213 iterations in 10.910s
% 76.61/11.64 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 76.61/11.64 % SZS output start Refutation
% See solution above
% 76.61/11.64
% 76.61/11.64
% 76.61/11.64 % Terminating...
% 77.52/11.72 % Runner terminated.
% 77.52/11.74 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------