TSTP Solution File: SEU244+1 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU244+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n014.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 : 600s
% DateTime : Tue Jul 19 14:20:34 EDT 2022
% Result : Theorem 0.21s 0.54s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 25
% Syntax : Number of clauses : 48 ( 14 unt; 11 nHn; 48 RR)
% Number of literals : 112 ( 0 equ; 55 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 14 ( 13 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 28 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ relation(X)
| ~ antisymmetric(X)
| is_antisymmetric_in(X,relation_field(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d12_relat_2) ).
cnf(2,axiom,
( ~ relation(X)
| antisymmetric(X)
| ~ is_antisymmetric_in(X,relation_field(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d12_relat_2) ).
cnf(3,axiom,
( ~ relation(X)
| ~ connected(X)
| is_connected_in(X,relation_field(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d14_relat_2) ).
cnf(4,axiom,
( ~ relation(X)
| connected(X)
| ~ is_connected_in(X,relation_field(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d14_relat_2) ).
cnf(5,axiom,
( ~ relation(X)
| ~ transitive(X)
| is_transitive_in(X,relation_field(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d16_relat_2) ).
cnf(6,axiom,
( ~ relation(X)
| transitive(X)
| ~ is_transitive_in(X,relation_field(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d16_relat_2) ).
cnf(7,axiom,
( ~ relation(X)
| ~ well_ordering(X)
| reflexive(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_wellord1) ).
cnf(8,axiom,
( ~ relation(X)
| ~ well_ordering(X)
| transitive(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_wellord1) ).
cnf(9,axiom,
( ~ relation(X)
| ~ well_ordering(X)
| antisymmetric(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_wellord1) ).
cnf(10,axiom,
( ~ relation(X)
| ~ well_ordering(X)
| connected(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_wellord1) ).
cnf(11,axiom,
( ~ relation(X)
| ~ well_ordering(X)
| well_founded_relation(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_wellord1) ).
cnf(12,axiom,
( ~ relation(X)
| well_ordering(X)
| ~ reflexive(X)
| ~ transitive(X)
| ~ antisymmetric(X)
| ~ connected(X)
| ~ well_founded_relation(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_wellord1) ).
cnf(13,axiom,
( ~ relation(X)
| ~ well_orders(X,Y)
| is_reflexive_in(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_wellord1) ).
cnf(14,axiom,
( ~ relation(X)
| ~ well_orders(X,Y)
| is_transitive_in(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_wellord1) ).
cnf(15,axiom,
( ~ relation(X)
| ~ well_orders(X,Y)
| is_antisymmetric_in(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_wellord1) ).
cnf(16,axiom,
( ~ relation(X)
| ~ well_orders(X,Y)
| is_connected_in(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_wellord1) ).
cnf(17,axiom,
( ~ relation(X)
| ~ well_orders(X,Y)
| is_well_founded_in(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_wellord1) ).
cnf(18,axiom,
( ~ relation(X)
| well_orders(X,Y)
| ~ is_reflexive_in(X,Y)
| ~ is_transitive_in(X,Y)
| ~ is_antisymmetric_in(X,Y)
| ~ is_connected_in(X,Y)
| ~ is_well_founded_in(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_wellord1) ).
cnf(20,axiom,
( ~ relation(X)
| ~ reflexive(X)
| is_reflexive_in(X,relation_field(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d9_relat_2) ).
cnf(21,axiom,
( ~ relation(X)
| reflexive(X)
| ~ is_reflexive_in(X,relation_field(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d9_relat_2) ).
cnf(23,axiom,
( ~ relation(X)
| ~ well_founded_relation(X)
| is_well_founded_in(X,relation_field(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_wellord1) ).
cnf(24,axiom,
( ~ relation(X)
| well_founded_relation(X)
| ~ is_well_founded_in(X,relation_field(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_wellord1) ).
cnf(25,negated_conjecture,
relation('SKOLEMAAAV1'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_wellord1) ).
cnf(26,negated_conjecture,
( ~ well_orders('SKOLEMAAAV1',relation_field('SKOLEMAAAV1'))
| ~ well_ordering('SKOLEMAAAV1') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_wellord1) ).
cnf(27,negated_conjecture,
( well_orders('SKOLEMAAAV1',relation_field('SKOLEMAAAV1'))
| well_ordering('SKOLEMAAAV1') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_wellord1) ).
cnf(28,plain,
( well_ordering('SKOLEMAAAV1')
| is_reflexive_in('SKOLEMAAAV1',relation_field('SKOLEMAAAV1')) ),
inference('HYPERRESOLVE',[status(thm)],[13,25,27]) ).
cnf(29,plain,
( well_ordering('SKOLEMAAAV1')
| is_transitive_in('SKOLEMAAAV1',relation_field('SKOLEMAAAV1')) ),
inference('HYPERRESOLVE',[status(thm)],[14,25,27]) ).
cnf(30,plain,
( well_ordering('SKOLEMAAAV1')
| is_antisymmetric_in('SKOLEMAAAV1',relation_field('SKOLEMAAAV1')) ),
inference('HYPERRESOLVE',[status(thm)],[15,25,27]) ).
cnf(31,plain,
( well_ordering('SKOLEMAAAV1')
| is_connected_in('SKOLEMAAAV1',relation_field('SKOLEMAAAV1')) ),
inference('HYPERRESOLVE',[status(thm)],[16,25,27]) ).
cnf(32,plain,
( well_ordering('SKOLEMAAAV1')
| is_well_founded_in('SKOLEMAAAV1',relation_field('SKOLEMAAAV1')) ),
inference('HYPERRESOLVE',[status(thm)],[17,25,27]) ).
cnf(34,plain,
( well_ordering('SKOLEMAAAV1')
| reflexive('SKOLEMAAAV1') ),
inference('HYPERRESOLVE',[status(thm)],[21,28,25]) ).
cnf(35,plain,
reflexive('SKOLEMAAAV1'),
inference('HYPERRESOLVE',[status(thm)],[7,34,25]) ).
cnf(36,plain,
is_reflexive_in('SKOLEMAAAV1',relation_field('SKOLEMAAAV1')),
inference('HYPERRESOLVE',[status(thm)],[20,35,25]) ).
cnf(37,plain,
( well_ordering('SKOLEMAAAV1')
| transitive('SKOLEMAAAV1') ),
inference('HYPERRESOLVE',[status(thm)],[6,29,25]) ).
cnf(38,plain,
transitive('SKOLEMAAAV1'),
inference('HYPERRESOLVE',[status(thm)],[8,37,25]) ).
cnf(39,plain,
is_transitive_in('SKOLEMAAAV1',relation_field('SKOLEMAAAV1')),
inference('HYPERRESOLVE',[status(thm)],[5,38,25]) ).
cnf(40,plain,
( well_ordering('SKOLEMAAAV1')
| antisymmetric('SKOLEMAAAV1') ),
inference('HYPERRESOLVE',[status(thm)],[2,30,25]) ).
cnf(41,plain,
antisymmetric('SKOLEMAAAV1'),
inference('HYPERRESOLVE',[status(thm)],[9,40,25]) ).
cnf(42,plain,
is_antisymmetric_in('SKOLEMAAAV1',relation_field('SKOLEMAAAV1')),
inference('HYPERRESOLVE',[status(thm)],[1,41,25]) ).
cnf(43,plain,
( well_ordering('SKOLEMAAAV1')
| connected('SKOLEMAAAV1') ),
inference('HYPERRESOLVE',[status(thm)],[4,31,25]) ).
cnf(44,plain,
connected('SKOLEMAAAV1'),
inference('HYPERRESOLVE',[status(thm)],[10,43,25]) ).
cnf(45,plain,
is_connected_in('SKOLEMAAAV1',relation_field('SKOLEMAAAV1')),
inference('HYPERRESOLVE',[status(thm)],[3,44,25]) ).
cnf(46,plain,
( well_ordering('SKOLEMAAAV1')
| well_founded_relation('SKOLEMAAAV1') ),
inference('HYPERRESOLVE',[status(thm)],[24,32,25]) ).
cnf(47,plain,
well_founded_relation('SKOLEMAAAV1'),
inference('HYPERRESOLVE',[status(thm)],[11,46,25]) ).
cnf(48,plain,
well_ordering('SKOLEMAAAV1'),
inference('HYPERRESOLVE',[status(thm)],[12,47,25,35,38,41,44]) ).
cnf(49,plain,
~ well_orders('SKOLEMAAAV1',relation_field('SKOLEMAAAV1')),
inference('REWRITE',[status(thm)],[26,48]) ).
cnf(50,plain,
is_well_founded_in('SKOLEMAAAV1',relation_field('SKOLEMAAAV1')),
inference('HYPERRESOLVE',[status(thm)],[23,47,25]) ).
cnf(51,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[18,45,25,49,36,39,42]),50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEU244+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.14 % Command : run-snark %s %d
% 0.13/0.35 % Computer : n014.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 : 600
% 0.13/0.35 % DateTime : Mon Jun 20 10:13:17 EDT 2022
% 0.13/0.36 % CPUTime :
% 0.21/0.48 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.49 *
% 0.21/0.49 *
% 0.21/0.50 #<PACKAGE "SNARK-USER">
% 0.21/0.50 *
% 0.21/0.50 SNARK-TPTP-OPTIONS
% 0.21/0.50 *
% 0.21/0.50 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.50 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.50 (USE-FACTORING :POS)
% 0.21/0.50 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.50 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.50 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.50 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.50 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.50 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.50 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.50 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.50 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.50 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.50 *
% 0.21/0.50 "."
% 0.21/0.50 *
% 0.21/0.50 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-20T10:13:18
% 0.21/0.50 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n014.cluster.edu at 2022-06-20T10:13:18
% 0.21/0.51
% 0.21/0.52 ; Recognized commutativity assertion (= (|set_union2| ?X ?Y) (|set_union2| ?Y ?X)).
% 0.21/0.54 ; Declaring set_union2 to be commutative.
% 0.21/0.54
% 0.21/0.54 #||
% 0.21/0.54 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.54 % SZS output start Refutation
% See solution above
% 0.21/0.55 ||#
% 0.21/0.55
% 0.21/0.55 ; Summary of computation:
% 0.21/0.55 ; 103 formulas have been input or derived (from 49 formulas).
% 0.21/0.55 ; 51 (50%) were retained. Of these,
% 0.21/0.55 ; 12 (24%) were simplified or subsumed later,
% 0.21/0.55 ; 39 (76%) are still being kept.
% 0.21/0.55 ;
% 0.21/0.55 ; Run time in seconds excluding printing time:
% 0.21/0.55 ; 0.004 10% Read assertion file (1 call)
% 0.21/0.55 ; 0.001 2% Assert (15 calls)
% 0.21/0.55 ; 0.005 12% Process new row (92 calls)
% 0.21/0.55 ; 0.003 7% Resolution (96 calls)
% 0.21/0.55 ; 0.002 5% Paramodulation (48 calls)
% 0.21/0.55 ; 0.001 2% Factoring (11 calls)
% 0.21/0.55 ; 0.000 0% Condensing (35 calls)
% 0.21/0.55 ; 0.000 0% Forward subsumption (35 calls)
% 0.21/0.55 ; 0.000 0% Backward subsumption (35 calls)
% 0.21/0.55 ; 0.000 0% Forward simplification (67 calls)
% 0.21/0.55 ; 0.001 2% Backward simplification (51 calls)
% 0.21/0.55 ; 0.001 2% Ordering (23 calls)
% 0.21/0.55 ; 0.001 2% Sortal reasoning (32 calls)
% 0.21/0.55 ; 0.000 0% Purity testing (1 call)
% 0.21/0.55 ; 0.022 54% Other
% 0.21/0.55 ; 0.041 Total
% 0.21/0.55 ; 0.046 Real time
% 0.21/0.55 ;
% 0.21/0.55 ; Term-hash-array has 43 terms in all.
% 0.21/0.55 ; Feature-vector-row-index has 23 entries (31 at peak, 35 added, 12 deleted).
% 0.21/0.55 ; Feature-vector-row-index has 74 nodes (112 at peak, 125 added, 51 deleted).
% 0.21/0.55 ; Retrieved 2 possibly forward subsuming rows in 35 calls.
% 0.21/0.55 ; Retrieved 2 possibly backward subsumed rows in 35 calls.
% 0.21/0.55 ; Path-index has 44 entries (44 at peak, 46 added, 2 deleted).
% 0.21/0.55 ; Path-index has 106 nodes (106 at peak, 110 added, 4 deleted).
% 0.21/0.55 ; Trie-index has 44 entries (44 at peak, 46 added, 2 deleted).
% 0.21/0.55 ; Trie-index has 106 nodes (106 at peak, 112 added, 6 deleted).
% 0.21/0.55 ; Retrieved 16 generalization terms in 16 calls.
% 0.21/0.55 ; Retrieved 16 instance terms in 15 calls.
% 0.21/0.55 ; Retrieved 721 unifiable terms in 476 calls.
% 0.21/0.55 ;
% 0.21/0.55 ; The agenda of rows to give has 2 entries:
% 0.21/0.55 ; 1 with value (4 10) 1 with value (4 12)
% 0.21/0.55 Evaluation took:
% 0.21/0.55 0.046 seconds of real time
% 0.21/0.55 0.038155 seconds of user run time
% 0.21/0.55 0.008044 seconds of system run time
% 0.21/0.55 0 calls to %EVAL
% 0.21/0.55 0 page faults and
% 0.21/0.55 4,884,072 bytes consed.
% 0.21/0.55 :PROOF-FOUND
% 0.21/0.55 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-20T10:13:18
% 0.21/0.55 :PROOF-FOUND
% 0.21/0.55 *
%------------------------------------------------------------------------------