TSTP Solution File: SEU187+2 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU187+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n028.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 14:19:57 EDT 2022
% Result : Theorem 2.51s 2.74s
% Output : Refutation 2.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 10
% Syntax : Number of clauses : 20 ( 12 unt; 1 nHn; 18 RR)
% Number of literals : 32 ( 17 equ; 17 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 1 con; 0-2 aty)
% Number of variables : 13 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(22,axiom,
( X = empty_set
| in('SKOLEMAAAW8'(X),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_xboole_0) ).
cnf(57,axiom,
( ~ relation(X)
| Y != relation_dom(X)
| ~ in(Z,Y)
| in(ordered_pair(Z,'SKOLEMAAAW19'(Z,X)),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_relat_1) ).
cnf(74,axiom,
( ~ relation(X)
| Y != relation_rng(X)
| ~ in(Z,Y)
| in(ordered_pair('SKOLEMAAAW26'(Z,X),Z),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_relat_1) ).
cnf(80,axiom,
( ~ relation(X)
| relation_field(X) = set_union2(relation_dom(X),relation_rng(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d6_relat_1) ).
cnf(112,axiom,
empty(empty_set),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_xboole_0) ).
cnf(118,axiom,
relation(empty_set),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_relat_1) ).
cnf(170,axiom,
set_union2(X,empty_set) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_boole) ).
cnf(191,axiom,
( ~ relation(X)
| relation_rng(X) = relation_dom(relation_inverse(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t37_relat_1) ).
cnf(227,negated_conjecture,
( relation_dom(empty_set) != empty_set
| relation_rng(empty_set) != empty_set ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t60_relat_1) ).
cnf(235,axiom,
( ~ in(X,Y)
| ~ empty(Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).
cnf(266,plain,
~ in(X,empty_set),
inference('UR-RESOLVE',[status(thm)],[235,112]) ).
cnf(457,plain,
relation_rng(empty_set) = relation_dom(relation_inverse(empty_set)),
inference('HYPERRESOLVE',[status(thm)],[191,118]) ).
cnf(458,plain,
( relation_dom(empty_set) != empty_set
| relation_dom(relation_inverse(empty_set)) != empty_set ),
inference('REWRITE',[status(thm)],[227,457,theory(equality)]) ).
cnf(587,plain,
relation_field(empty_set) = set_union2(relation_dom(empty_set),relation_dom(relation_inverse(empty_set))),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[80,118]),457,theory(equality)]) ).
cnf(2620,plain,
relation_dom(empty_set) = empty_set,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[57,118,22,theory(equality)]),266]) ).
cnf(2621,plain,
relation_dom(relation_inverse(empty_set)) != empty_set,
inference('REWRITE',[status(thm)],[458,2620,theory(equality)]) ).
cnf(2623,plain,
relation_field(empty_set) = relation_dom(relation_inverse(empty_set)),
inference('REWRITE',[status(thm)],[587,170,2620,theory(equality)]) ).
cnf(2624,plain,
relation_rng(empty_set) = relation_field(empty_set),
inference('REWRITE',[status(thm)],[457,2623,theory(equality)]) ).
cnf(2629,plain,
relation_field(empty_set) != empty_set,
inference('REWRITE',[status(thm)],[2621,2623,theory(equality)]) ).
cnf(3303,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[74,118,22,theory(equality)]),266,2629,2624,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU187+2 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n028.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 : 600
% 0.14/0.34 % DateTime : Sun Jun 19 02:08:31 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.47 *
% 0.21/0.48 *
% 0.21/0.48 #<PACKAGE "SNARK-USER">
% 0.21/0.48 *
% 0.21/0.48 SNARK-TPTP-OPTIONS
% 0.21/0.48 *
% 0.21/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.48 (USE-FACTORING :POS)
% 0.21/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.48 *
% 0.21/0.48 "."
% 0.21/0.48 *
% 0.21/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-19T02:08:31
% 0.21/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n028.cluster.edu at 2022-06-19T02:08:31
% 0.21/0.53
% 0.21/0.53 ; Recognized commutativity assertion (= (|unordered_pair| ?X ?Y) (|unordered_pair| ?Y ?X)).
% 0.21/0.53 ; Recognized commutativity assertion (= (|set_union2| ?X ?Y) (|set_union2| ?Y ?X)).
% 0.21/0.53 ; Recognized commutativity assertion (= (|set_intersection2| ?X ?Y) (|set_intersection2| ?Y ?X)).
% 0.21/0.53 ; Recognized commutativity assertion (OR (NOT (|disjoint| ?X ?Y)) (|disjoint| ?Y ?X)).
% 0.21/0.54 ; Recognized right identity assertion (= (|set_union2| ?X |empty_set|) ?X).
% 0.21/0.54 ; Recognized right identity assertion (= (|set_difference| ?X |empty_set|) ?X).
% 0.21/0.54 ; Declaring unordered_pair to be commutative.
% 0.21/0.54 ; Declaring set_union2 to be commutative.
% 0.21/0.54 ; Declaring set_intersection2 to be commutative.
% 0.21/0.54 WARNING:
% 0.21/0.54 |are_equipotent| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 2.51/2.74 ; Declaring disjoint to be commutative.
% 2.51/2.74
% 2.51/2.74 #||
% 2.51/2.74 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.51/2.74 % SZS output start Refutation
% See solution above
% 2.51/2.74 ||#
% 2.51/2.74
% 2.51/2.74 ; Summary of computation:
% 2.51/2.74 ; 13880 formulas have been input or derived (from 201 formulas).
% 2.51/2.74 ; 3303 (24%) were retained. Of these,
% 2.51/2.74 ; 71 ( 2%) were simplified or subsumed later,
% 2.51/2.74 ; 3232 (98%) are still being kept.
% 2.51/2.74 ;
% 2.51/2.74 ; Run time in seconds excluding printing time:
% 2.51/2.74 ; 0.034 2% Read assertion file (1 call)
% 2.51/2.74 ; 0.006 0% Assert (167 calls)
% 2.51/2.74 ; 0.350 16% Process new row (13,139 calls)
% 2.51/2.74 ; 0.562 25% Resolution (400 calls)
% 2.51/2.74 ; 0.006 0% Paramodulation (200 calls)
% 2.51/2.74 ; 0.000 0% Factoring (19 calls)
% 2.51/2.74 ; 0.149 7% Condensing (10,183 calls)
% 2.51/2.74 ; 0.463 21% Forward subsumption (10,183 calls)
% 2.51/2.74 ; 0.105 5% Backward subsumption (2,894 calls)
% 2.51/2.74 ; 0.093 4% Clause clause subsumption (19,151 calls)
% 2.51/2.74 ; 0.379 17% Forward simplification (13,135 calls)
% 2.51/2.74 ; 0.003 0% Backward simplification (3,297 calls)
% 2.51/2.74 ; 0.040 2% Ordering (18,479 calls)
% 2.51/2.74 ; 0.000 0% Sortal reasoning (32 calls)
% 2.51/2.74 ; 0.001 0% Purity testing (1 call)
% 2.51/2.74 ; 0.065 3% Other
% 2.51/2.74 ; 2.256 Total
% 2.51/2.74 ; 2.257 Real time
% 2.51/2.74 ;
% 2.51/2.74 ; Term-hash-array has 7,735 terms in all.
% 2.51/2.74 ; Feature-vector-row-index has 2,877 entries (2,877 at peak, 2,894 added, 17 deleted).
% 2.51/2.74 ; Feature-vector-row-index has 9,840 nodes (9,840 at peak, 9,902 added, 62 deleted).
% 2.51/2.74 ; Retrieved 51,020 possibly forward subsuming rows in 10,183 calls.
% 2.51/2.74 ; Retrieved 2,532 possibly backward subsumed rows in 2,894 calls.
% 2.51/2.74 ; Path-index has 7,674 entries (7,674 at peak, 7,758 added, 84 deleted).
% 2.51/2.74 ; Path-index has 14,879 nodes (14,879 at peak, 14,950 added, 71 deleted).
% 2.51/2.74 ; Trie-index has 7,674 entries (7,674 at peak, 7,758 added, 84 deleted).
% 2.51/2.74 ; Trie-index has 22,730 nodes (22,730 at peak, 22,969 added, 239 deleted).
% 2.51/2.74 ; Retrieved 40,291 generalization terms in 86,646 calls.
% 2.51/2.74 ; Retrieved 552 instance terms in 403 calls.
% 2.51/2.74 ; Retrieved 869,773 unifiable terms in 4,612 calls.
% 2.51/2.74 ;
% 2.51/2.74 ; The agenda of rows to process has 174 entries:
% 2.51/2.74 ; 6 with value 25 6 with value 35 6 with value 46
% 2.51/2.74 ; 2 with value 26 8 with value 36 14 with value 47
% 2.51/2.74 ; 6 with value 27 2 with value 37 4 with value 48
% 2.51/2.74 ; 4 with value 28 2 with value 39 8 with value 49
% 2.51/2.74 ; 2 with value 29 6 with value 40 8 with value 50
% 2.51/2.74 ; 8 with value 30 6 with value 41 14 with value 51
% 2.51/2.74 ; 6 with value 31 2 with value 42 4 with value 53
% 2.51/2.74 ; 2 with value 32 2 with value 43 8 with value 54
% 2.51/2.74 ; 14 with value 33 8 with value 45 6 with value 55
% 2.51/2.74 ; 10 with value 34
% 2.51/2.74 ; The agenda of input rows to give has 40 entries:
% 2.51/2.74 ; 4 with value 23 3 with value 31 1 with value 37
% 2.51/2.74 ; 2 with value 24 2 with value 32 2 with value 40
% 2.51/2.74 ; 2 with value 25 1 with value 33 2 with value 42
% 2.51/2.74 ; 8 with value 26 1 with value 34 2 with value 44
% 2.51/2.74 ; 2 with value 27 2 with value 35 1 with value 52
% 2.51/2.74 ; 3 with value 28 2 with value 36
% 2.51/2.74 ; The agenda of rows to give has 2997 entries:
% 2.51/2.74 ; 8 with value (4 5) 93 with value (4 25) 37 with value (4 45)
% 2.51/2.74 ; 10 with value (4 6) 88 with value (4 26) 34 with value (4 46)
% 2.51/2.74 ; 33 with value (4 7) 67 with value (4 27) 53 with value (4 47)
% 2.51/2.74 ; 32 with value (4 8) 98 with value (4 28) 17 with value (4 48)
% 2.51/2.74 ; 40 with value (4 9) 84 with value (4 29) 27 with value (4 49)
% 2.51/2.74 ; 57 with value (4 10) 115 with value (4 30) 10 with value (4 50)
% 2.51/2.74 ; 49 with value (4 11) 109 with value (4 31) 14 with value (4 51)
% 2.51/2.74 ; 48 with value (4 12) 72 with value (4 32) 35 with value (4 52)
% 2.51/2.74 ; 49 with value (4 13) 103 with value (4 33) 9 with value (4 53)
% 2.51/2.74 ; 45 with value (4 14) 96 with value (4 34) 13 with value (4 54)
% 2.51/2.74 ; 58 with value (4 15) 116 with value (4 35) 14 with value (4 55)
% 2.51/2.74 ; 55 with value (4 16) 76 with value (4 36) 11 with value (4 56)
% 2.51/2.74 ; 60 with value (4 17) 77 with value (4 37) 6 with value (4 57)
% 2.51/2.74 ; 74 with value (4 18) 68 with value (4 38) 8 with value (4 58)
% 2.51/2.74 ; 80 with value (4 19) 77 with value (4 39) 10 with value (4 59)
% 2.51/2.74 ; 81 with value (4 20) 57 with value (4 40) 8 with value (4 60)
% 2.51/2.74 ; 83 with value (4 21) 39 with value (4 41) 13 with value (4 61)
% 2.51/2.74 ; 76 with value (4 22) 72 with value (4 42) 2 with value (4 63)
% 2.51/2.74 ; 73 with value (4 23) 38 with value (4 43) 6 with value (4 64)
% 2.51/2.74 ; 52 with value (4 24) 62 with value (4 44)
% 2.51/2.74 Evaluation took:
% 2.51/2.74 2.259 seconds of real time
% 2.51/2.74 2.08627 seconds of user run time
% 2.51/2.74 0.172852 seconds of system run time
% 2.51/2.74 [Run times include 0.228 seconds GC run time.]
% 2.51/2.74 0 calls to %EVAL
% 2.51/2.74 0 page faults and
% 2.51/2.74 166,153,296 bytes consed.
% 2.51/2.74 :PROOF-FOUND
% 2.51/2.74 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-19T02:08:33
% 2.51/2.74 :PROOF-FOUND
% 2.51/2.74 *
%------------------------------------------------------------------------------