TSTP Solution File: SEU196+2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU196+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n019.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 14:20:02 EDT 2022
% Result : Theorem 0.71s 0.92s
% Output : Refutation 0.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of clauses : 12 ( 9 unt; 0 nHn; 8 RR)
% Number of literals : 16 ( 4 equ; 7 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-2 aty)
% Number of variables : 8 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(125,axiom,
relation(identity_relation(X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k6_relat_1) ).
cnf(220,axiom,
( ~ relation(X)
| relation_rng(X) = relation_dom(relation_inverse(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t37_relat_1) ).
cnf(236,axiom,
( ~ relation(X)
| ~ relation(Y)
| subset(relation_rng(relation_composition(X,Y)),relation_rng(Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t45_relat_1) ).
cnf(287,axiom,
( ~ relation(X)
| relation_dom_restriction(X,Y) = relation_composition(identity_relation(Y),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t94_relat_1) ).
cnf(288,negated_conjecture,
relation('SKOLEMAAAW59'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t99_relat_1) ).
cnf(289,negated_conjecture,
~ subset(relation_rng(relation_dom_restriction('SKOLEMAAAW59','SKOLEMAAAW58')),relation_rng('SKOLEMAAAW59')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t99_relat_1) ).
cnf(549,plain,
relation_rng('SKOLEMAAAW59') = relation_dom(relation_inverse('SKOLEMAAAW59')),
inference('HYPERRESOLVE',[status(thm)],[220,288]) ).
cnf(550,plain,
~ subset(relation_rng(relation_dom_restriction('SKOLEMAAAW59','SKOLEMAAAW58')),relation_dom(relation_inverse('SKOLEMAAAW59'))),
inference('REWRITE',[status(thm)],[289,549,theory(equality)]) ).
cnf(737,plain,
relation_dom_restriction('SKOLEMAAAW59',X) = relation_composition(identity_relation(X),'SKOLEMAAAW59'),
inference('HYPERRESOLVE',[status(thm)],[287,288]) ).
cnf(740,plain,
~ subset(relation_rng(relation_composition(identity_relation('SKOLEMAAAW58'),'SKOLEMAAAW59')),relation_dom(relation_inverse('SKOLEMAAAW59'))),
inference('REWRITE',[status(thm)],[550,737,theory(equality)]) ).
cnf(967,plain,
subset(relation_rng(relation_composition(identity_relation(X),'SKOLEMAAAW59')),relation_dom(relation_inverse('SKOLEMAAAW59'))),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[236,125,288]),549,theory(equality)]) ).
cnf(968,plain,
$false,
inference('REWRITE',[status(thm)],[740,967]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU196+2 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.35 % Computer : n019.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 : Sun Jun 19 09:12:24 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.47 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.48 *
% 0.20/0.48 *
% 0.20/0.49 #<PACKAGE "SNARK-USER">
% 0.20/0.49 *
% 0.20/0.49 SNARK-TPTP-OPTIONS
% 0.20/0.49 *
% 0.20/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.49 (USE-FACTORING :POS)
% 0.20/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.49 *
% 0.20/0.49 "."
% 0.20/0.49 *
% 0.20/0.49 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-19T09:12:24
% 0.20/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n019.cluster.edu at 2022-06-19T09:12:24
% 0.20/0.54
% 0.20/0.54 ; Recognized commutativity assertion (= (|unordered_pair| ?X ?Y) (|unordered_pair| ?Y ?X)).
% 0.20/0.54 ; Recognized commutativity assertion (= (|set_union2| ?X ?Y) (|set_union2| ?Y ?X)).
% 0.20/0.54 ; Recognized commutativity assertion (= (|set_intersection2| ?X ?Y) (|set_intersection2| ?Y ?X)).
% 0.20/0.54 ; Recognized commutativity assertion (OR (NOT (|disjoint| ?X ?Y)) (|disjoint| ?Y ?X)).
% 0.20/0.54 ; Recognized right identity assertion (= (|set_union2| ?X |empty_set|) ?X).
% 0.20/0.55 ; Recognized right identity assertion (= (|set_difference| ?X |empty_set|) ?X).
% 0.20/0.55 ; Declaring unordered_pair to be commutative.
% 0.20/0.55 ; Declaring set_union2 to be commutative.
% 0.20/0.55 ; Declaring set_intersection2 to be commutative.
% 0.20/0.55 WARNING:
% 0.20/0.55 |are_equipotent| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.71/0.92 ; Declaring disjoint to be commutative.
% 0.71/0.92
% 0.71/0.92 #||
% 0.71/0.92 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.71/0.92 % SZS output start Refutation
% See solution above
% 0.74/0.92 ||#
% 0.74/0.92
% 0.74/0.92 ; Summary of computation:
% 0.74/0.92 ; 4722 formulas have been input or derived (from 172 formulas).
% 0.74/0.92 ; 968 (20%) were retained. Of these,
% 0.74/0.92 ; 78 ( 8%) were simplified or subsumed later,
% 0.74/0.92 ; 890 (92%) are still being kept.
% 0.74/0.92 ;
% 0.74/0.92 ; Run time in seconds excluding printing time:
% 0.74/0.92 ; 0.039 9% Read assertion file (1 call)
% 0.74/0.92 ; 0.011 3% Assert (187 calls)
% 0.74/0.92 ; 0.083 20% Process new row (4,481 calls)
% 0.74/0.92 ; 0.091 22% Resolution (342 calls)
% 0.74/0.92 ; 0.006 1% Paramodulation (171 calls)
% 0.74/0.92 ; 0.000 0% Factoring (9 calls)
% 0.74/0.92 ; 0.024 6% Condensing (1,200 calls)
% 0.74/0.92 ; 0.019 5% Forward subsumption (1,200 calls)
% 0.74/0.92 ; 0.014 3% Backward subsumption (555 calls)
% 0.74/0.92 ; 0.006 1% Clause clause subsumption (1,256 calls)
% 0.74/0.92 ; 0.077 18% Forward simplification (4,477 calls)
% 0.74/0.92 ; 0.008 2% Backward simplification (961 calls)
% 0.74/0.92 ; 0.000 0% Ordering (1,124 calls)
% 0.74/0.92 ; 0.000 0% Sortal reasoning (32 calls)
% 0.74/0.92 ; 0.001 0% Purity testing (1 call)
% 0.74/0.92 ; 0.042 10% Other
% 0.74/0.92 ; 0.421 Total
% 0.74/0.92 ; 0.431 Real time
% 0.74/0.92 ;
% 0.74/0.92 ; Term-hash-array has 1,614 terms in all.
% 0.74/0.92 ; Feature-vector-row-index has 541 entries (541 at peak, 555 added, 14 deleted).
% 0.74/0.92 ; Feature-vector-row-index has 1,651 nodes (1,651 at peak, 1,671 added, 20 deleted).
% 0.74/0.92 ; Retrieved 2,675 possibly forward subsuming rows in 1,200 calls.
% 0.74/0.92 ; Retrieved 306 possibly backward subsumed rows in 555 calls.
% 0.74/0.92 ; Path-index has 1,542 entries (1,543 at peak, 1,629 added, 87 deleted).
% 0.74/0.92 ; Path-index has 3,481 nodes (3,481 at peak, 3,603 added, 122 deleted).
% 0.74/0.92 ; Trie-index has 1,542 entries (1,543 at peak, 1,629 added, 87 deleted).
% 0.74/0.92 ; Trie-index has 4,217 nodes (4,220 at peak, 4,536 added, 319 deleted).
% 0.74/0.92 ; Retrieved 13,456 generalization terms in 19,122 calls.
% 0.74/0.92 ; Retrieved 523 instance terms in 406 calls.
% 0.74/0.92 ; Retrieved 94,795 unifiable terms in 2,350 calls.
% 0.74/0.92 ;
% 0.74/0.92 ; The agenda of rows to process has 12 entries:
% 0.74/0.92 ; 5 with value 13 6 with value 14 1 with value 15
% 0.74/0.92 ; The agenda of input rows to give has 114 entries:
% 0.74/0.92 ; 3 with value 16 3 with value 25 3 with value 35
% 0.74/0.92 ; 12 with value 17 8 with value 26 2 with value 36
% 0.74/0.92 ; 9 with value 18 3 with value 27 2 with value 37
% 0.74/0.92 ; 7 with value 19 4 with value 28 2 with value 40
% 0.74/0.92 ; 9 with value 20 1 with value 30 1 with value 41
% 0.74/0.92 ; 4 with value 21 4 with value 31 2 with value 42
% 0.74/0.92 ; 7 with value 22 2 with value 32 2 with value 44
% 0.74/0.92 ; 14 with value 23 1 with value 33 1 with value 49
% 0.74/0.92 ; 4 with value 24 3 with value 34 1 with value 52
% 0.74/0.92 ; The agenda of rows to give has 612 entries:
% 0.74/0.92 ; 8 with value (4 5) 35 with value (4 13) 35 with value (4 20)
% 0.74/0.92 ; 9 with value (4 6) 32 with value (4 14) 27 with value (4 21)
% 0.74/0.92 ; 42 with value (4 7) 33 with value (4 15) 4 with value (4 22)
% 0.74/0.92 ; 27 with value (4 8) 41 with value (4 16) 10 with value (4 23)
% 0.74/0.92 ; 49 with value (4 9) 30 with value (4 17) 3 with value (4 24)
% 0.74/0.92 ; 56 with value (4 10) 31 with value (4 18) 4 with value (4 25)
% 0.74/0.92 ; 42 with value (4 11) 41 with value (4 19) 3 with value (4 26)
% 0.74/0.92 ; 50 with value (4 12)
% 0.74/0.92 Evaluation took:
% 0.74/0.92 0.432 seconds of real time
% 0.74/0.92 0.364481 seconds of user run time
% 0.74/0.92 0.059121 seconds of system run time
% 0.74/0.92 [Run times include 0.011 seconds GC run time.]
% 0.74/0.92 0 calls to %EVAL
% 0.74/0.92 0 page faults and
% 0.74/0.92 24,115,848 bytes consed.
% 0.74/0.92 :PROOF-FOUND
% 0.74/0.92 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-19T09:12:25
% 0.74/0.92 :PROOF-FOUND
% 0.74/0.92 *
%------------------------------------------------------------------------------