TSTP Solution File: SEU219+2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU219+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n016.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 14:20:16 EDT 2022
% Result : Theorem 0.71s 0.91s
% Output : Refutation 0.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of clauses : 13 ( 8 unt; 0 nHn; 13 RR)
% Number of literals : 20 ( 11 equ; 10 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-1 aty)
% Number of variables : 3 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(143,axiom,
( ~ relation(X)
| ~ function(X)
| ~ one_to_one(X)
| function_inverse(X) = relation_inverse(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d9_funct_1) ).
cnf(295,axiom,
( ~ relation(X)
| relation_rng(X) = relation_dom(relation_inverse(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t37_relat_1) ).
cnf(296,axiom,
( ~ relation(X)
| relation_dom(X) = relation_rng(relation_inverse(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t37_relat_1) ).
cnf(339,negated_conjecture,
relation('SKOLEMAAAV73'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t55_funct_1) ).
cnf(340,negated_conjecture,
function('SKOLEMAAAV73'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t55_funct_1) ).
cnf(341,negated_conjecture,
one_to_one('SKOLEMAAAV73'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t55_funct_1) ).
cnf(342,negated_conjecture,
( relation_rng('SKOLEMAAAV73') != relation_dom(function_inverse('SKOLEMAAAV73'))
| relation_dom('SKOLEMAAAV73') != relation_rng(function_inverse('SKOLEMAAAV73')) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t55_funct_1) ).
cnf(743,plain,
relation_rng('SKOLEMAAAV73') = relation_dom(relation_inverse('SKOLEMAAAV73')),
inference('HYPERRESOLVE',[status(thm)],[295,339]) ).
cnf(744,plain,
( relation_dom(relation_inverse('SKOLEMAAAV73')) != relation_dom(function_inverse('SKOLEMAAAV73'))
| relation_dom('SKOLEMAAAV73') != relation_rng(function_inverse('SKOLEMAAAV73')) ),
inference('REWRITE',[status(thm)],[342,743,theory(equality)]) ).
cnf(757,plain,
relation_dom('SKOLEMAAAV73') = relation_rng(relation_inverse('SKOLEMAAAV73')),
inference('HYPERRESOLVE',[status(thm)],[296,339]) ).
cnf(1118,plain,
function_inverse('SKOLEMAAAV73') = relation_inverse('SKOLEMAAAV73'),
inference('HYPERRESOLVE',[status(thm)],[143,339,340,341]) ).
cnf(1121,plain,
relation_dom('SKOLEMAAAV73') != relation_rng(function_inverse('SKOLEMAAAV73')),
inference('REWRITE',[status(thm)],[744,1118,theory(equality)]) ).
cnf(1123,plain,
$false,
inference('REWRITE',[status(thm)],[757,1121,1118,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SEU219+2 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.14 % Command : run-snark %s %d
% 0.13/0.35 % Computer : n016.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 20:29:09 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.48 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.49 *
% 0.20/0.49 *
% 0.20/0.50 #<PACKAGE "SNARK-USER">
% 0.20/0.50 *
% 0.20/0.50 SNARK-TPTP-OPTIONS
% 0.20/0.50 *
% 0.20/0.50 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.50 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.50 (USE-FACTORING :POS)
% 0.20/0.50 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.50 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.50 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.50 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.50 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.50 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.50 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.50 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.50 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.50 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.50 *
% 0.20/0.50 "."
% 0.20/0.50 *
% 0.20/0.50 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-19T20:29:09
% 0.20/0.50 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n016.cluster.edu at 2022-06-19T20:29:09
% 0.20/0.56
% 0.20/0.56 ; Recognized commutativity assertion (= (|unordered_pair| ?X ?Y) (|unordered_pair| ?Y ?X)).
% 0.20/0.56 ; Recognized commutativity assertion (= (|set_union2| ?X ?Y) (|set_union2| ?Y ?X)).
% 0.39/0.57 ; Recognized commutativity assertion (= (|set_intersection2| ?X ?Y) (|set_intersection2| ?Y ?X)).
% 0.39/0.57 ; Recognized commutativity assertion (OR (NOT (|disjoint| ?X ?Y)) (|disjoint| ?Y ?X)).
% 0.39/0.57 ; Recognized right identity assertion (= (|set_union2| ?X |empty_set|) ?X).
% 0.39/0.57 ; Recognized right identity assertion (= (|set_difference| ?X |empty_set|) ?X).
% 0.39/0.57 ; Declaring unordered_pair to be commutative.
% 0.39/0.57 ; Declaring set_union2 to be commutative.
% 0.39/0.57 ; Declaring set_intersection2 to be commutative.
% 0.39/0.57 WARNING:
% 0.39/0.57 |relation_empty_yielding| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.39/0.57 WARNING:
% 0.39/0.57 |are_equipotent| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.71/0.91 ; Declaring disjoint to be commutative.
% 0.71/0.91
% 0.71/0.91 #||
% 0.71/0.91 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.71/0.91 % SZS output start Refutation
% See solution above
% 0.71/0.91 ||#
% 0.71/0.91
% 0.71/0.91 ; Summary of computation:
% 0.71/0.91 ; 5036 formulas have been input or derived (from 185 formulas).
% 0.71/0.91 ; 1123 (22%) were retained. Of these,
% 0.71/0.91 ; 87 ( 8%) were simplified or subsumed later,
% 0.71/0.91 ; 1036 (92%) are still being kept.
% 0.71/0.91 ;
% 0.71/0.91 ; Run time in seconds excluding printing time:
% 0.71/0.91 ; 0.049 12% Read assertion file (1 call)
% 0.71/0.91 ; 0.014 3% Assert (231 calls)
% 0.71/0.91 ; 0.074 18% Process new row (4,807 calls)
% 0.71/0.91 ; 0.073 18% Resolution (368 calls)
% 0.71/0.91 ; 0.003 1% Paramodulation (184 calls)
% 0.71/0.91 ; 0.000 0% Factoring (9 calls)
% 0.71/0.91 ; 0.011 3% Condensing (1,242 calls)
% 0.71/0.91 ; 0.020 5% Forward subsumption (1,242 calls)
% 0.71/0.91 ; 0.018 4% Backward subsumption (603 calls)
% 0.71/0.91 ; 0.009 2% Clause clause subsumption (1,221 calls)
% 0.71/0.91 ; 0.083 20% Forward simplification (4,800 calls)
% 0.71/0.91 ; 0.007 2% Backward simplification (1,116 calls)
% 0.71/0.91 ; 0.004 1% Ordering (1,173 calls)
% 0.71/0.91 ; 0.001 0% Sortal reasoning (32 calls)
% 0.71/0.91 ; 0.002 0% Purity testing (1 call)
% 0.71/0.91 ; 0.041 10% Other
% 0.71/0.91 ; 0.409 Total
% 0.71/0.91 ; 0.411 Real time
% 0.71/0.91 ;
% 0.71/0.91 ; Term-hash-array has 1,909 terms in all.
% 0.71/0.91 ; Feature-vector-row-index has 584 entries (585 at peak, 603 added, 19 deleted).
% 0.71/0.91 ; Feature-vector-row-index has 1,850 nodes (1,863 at peak, 1,910 added, 60 deleted).
% 0.71/0.91 ; Retrieved 2,528 possibly forward subsuming rows in 1,242 calls.
% 0.71/0.91 ; Retrieved 363 possibly backward subsumed rows in 603 calls.
% 0.71/0.91 ; Path-index has 1,826 entries (1,842 at peak, 1,937 added, 111 deleted).
% 0.71/0.91 ; Path-index has 3,914 nodes (3,933 at peak, 4,035 added, 121 deleted).
% 0.71/0.91 ; Trie-index has 1,826 entries (1,842 at peak, 1,937 added, 111 deleted).
% 0.71/0.91 ; Trie-index has 4,721 nodes (4,769 at peak, 5,012 added, 291 deleted).
% 0.71/0.91 ; Retrieved 13,715 generalization terms in 19,574 calls.
% 0.71/0.91 ; Retrieved 652 instance terms in 513 calls.
% 0.71/0.91 ; Retrieved 117,864 unifiable terms in 2,644 calls.
% 0.71/0.91 ;
% 0.71/0.91 ; The agenda of backward simplifiable rows to process has 6 entries:
% 0.71/0.91 ; 6 with value 0
% 0.71/0.91 ; The agenda of rows to process has 3 entries:
% 0.71/0.91 ; 3 with value 8
% 0.71/0.91 ; The agenda of input rows to give has 187 entries:
% 0.71/0.91 ; 1 with value 9 11 with value 26 2 with value 36
% 0.71/0.91 ; 18 with value 16 7 with value 27 2 with value 37
% 0.71/0.91 ; 13 with value 17 5 with value 28 4 with value 40
% 0.71/0.91 ; 15 with value 18 1 with value 29 4 with value 41
% 0.71/0.91 ; 10 with value 19 2 with value 30 2 with value 42
% 0.71/0.91 ; 11 with value 20 5 with value 31 3 with value 44
% 0.71/0.91 ; 7 with value 21 5 with value 32 2 with value 48
% 0.71/0.91 ; 10 with value 22 3 with value 33 2 with value 49
% 0.71/0.91 ; 17 with value 23 3 with value 34 2 with value 52
% 0.71/0.91 ; 5 with value 24 6 with value 35 1 with value 68
% 0.71/0.91 ; 8 with value 25
% 0.71/0.91 ; The agenda of rows to give has 672 entries:
% 0.71/0.91 ; 1 with value (4 4) 55 with value (4 12) 31 with value (4 20)
% 0.71/0.91 ; 9 with value (4 5) 34 with value (4 13) 21 with value (4 21)
% 0.71/0.91 ; 19 with value (4 6) 32 with value (4 14) 4 with value (4 22)
% 0.71/0.91 ; 89 with value (4 7) 28 with value (4 15) 9 with value (4 23)
% 0.71/0.91 ; 37 with value (4 8) 35 with value (4 16) 3 with value (4 24)
% 0.71/0.91 ; 65 with value (4 9) 22 with value (4 17) 1 with value (4 25)
% 0.71/0.91 ; 73 with value (4 10) 27 with value (4 18) 2 with value (4 26)
% 0.71/0.91 ; 42 with value (4 11) 33 with value (4 19)
% 0.71/0.91 Evaluation took:
% 0.71/0.91 0.412 seconds of real time
% 0.71/0.91 0.376486 seconds of user run time
% 0.71/0.91 0.035028 seconds of system run time
% 0.71/0.91 [Run times include 0.021 seconds GC run time.]
% 0.71/0.91 0 calls to %EVAL
% 0.71/0.91 0 page faults and
% 0.71/0.91 26,551,616 bytes consed.
% 0.71/0.91 :PROOF-FOUND
% 0.71/0.91 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-19T20:29:10
% 0.71/0.91 :PROOF-FOUND
% 0.71/0.91 *
%------------------------------------------------------------------------------