%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU155+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n023.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 14:19:36 EDT 2022
% Result : Theorem 4.17s 4.33s
% Output : Refutation 4.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 5
% Syntax : Number of clauses : 8 ( 5 unt; 1 nHn; 7 RR)
% Number of literals : 13 ( 1 equ; 6 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 8 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(26,axiom,
( subset(X,Y)
| in('SKOLEMAAAO6'(X,Y),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
cnf(27,axiom,
( subset(X,Y)
| ~ in('SKOLEMAAAO6'(X,Y),Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
cnf(35,axiom,
( X != union(Y)
| in(Z,X)
| ~ in(Z,U)
| ~ in(U,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_tarski) ).
cnf(66,negated_conjecture,
in('SKOLEMAAAO12','SKOLEMAAAO13'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l50_zfmisc_1) ).
cnf(67,negated_conjecture,
~ subset('SKOLEMAAAO12',union('SKOLEMAAAO13')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l50_zfmisc_1) ).
cnf(151,plain,
in('SKOLEMAAAO6'('SKOLEMAAAO12',union('SKOLEMAAAO13')),'SKOLEMAAAO12'),
inference('HYPERRESOLVE',[status(thm)],[67,26]) ).
cnf(154,plain,
~ in('SKOLEMAAAO6'('SKOLEMAAAO12',union('SKOLEMAAAO13')),union('SKOLEMAAAO13')),
inference('UR-RESOLVE',[status(thm)],[27,67]) ).
cnf(5107,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[35,151,66,theory(equality)]),154]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU155+2 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jun 19 12:41:18 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45 *
% 0.18/0.45 *
% 0.18/0.46 #<PACKAGE "SNARK-USER">
% 0.18/0.46 *
% 0.18/0.46 SNARK-TPTP-OPTIONS
% 0.18/0.46 *
% 0.18/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46 (USE-FACTORING :POS)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46 *
% 0.18/0.46 "."
% 0.18/0.46 *
% 0.18/0.46 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-19T12:41:19
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-06-19T12:41:19
% 0.18/0.47
% 0.18/0.47 ; Recognized commutativity assertion (= (|unordered_pair| ?X ?Y) (|unordered_pair| ?Y ?X)).
% 0.18/0.47 ; Recognized commutativity assertion (= (|set_union2| ?X ?Y) (|set_union2| ?Y ?X)).
% 0.18/0.47 ; Recognized commutativity assertion (= (|set_intersection2| ?X ?Y) (|set_intersection2| ?Y ?X)).
% 0.18/0.47 ; Recognized commutativity assertion (OR (NOT (|disjoint| ?X ?Y)) (|disjoint| ?Y ?X)).
% 0.18/0.48 ; Recognized right identity assertion (= (|set_union2| ?X |empty_set|) ?X).
% 0.18/0.48 ; Recognized right identity assertion (= (|set_difference| ?X |empty_set|) ?X).
% 0.18/0.48 ; Declaring unordered_pair to be commutative.
% 0.18/0.48 ; Declaring set_union2 to be commutative.
% 0.18/0.48 ; Declaring set_intersection2 to be commutative.
% 4.17/4.33 ; Declaring disjoint to be commutative.
% 4.17/4.33
% 4.17/4.33 #||
% 4.17/4.33 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.17/4.33 % SZS output start Refutation
% See solution above
% 4.17/4.33 ||#
% 4.17/4.33
% 4.17/4.33 ; Summary of computation:
% 4.17/4.33 ; 38274 formulas have been input or derived (from 228 formulas).
% 4.17/4.33 ; 5107 (13%) were retained. Of these,
% 4.17/4.33 ; 101 ( 2%) were simplified or subsumed later,
% 4.17/4.33 ; 5006 (98%) are still being kept.
% 4.17/4.33 ;
% 4.17/4.33 ; Run time in seconds:
% 4.17/4.33 ; 0.009 0% Read assertion file (1 call)
% 4.17/4.33 ; 0.002 0% Assert (80 calls)
% 4.17/4.33 ; 0.401 10% Process new row (35,875 calls)
% 4.17/4.33 ; 1.234 32% Resolution (454 calls)
% 4.17/4.33 ; 0.010 0% Paramodulation (227 calls)
% 4.17/4.33 ; 0.000 0% Factoring (21 calls)
% 4.17/4.33 ; 0.195 5% Condensing (15,264 calls)
% 4.17/4.33 ; 0.663 17% Forward subsumption (15,264 calls)
% 4.17/4.33 ; 0.085 2% Backward subsumption (2,160 calls)
% 4.17/4.33 ; 0.175 5% Clause clause subsumption (37,113 calls)
% 4.17/4.33 ; 0.871 22% Forward simplification (35,874 calls)
% 4.17/4.33 ; 0.022 1% Backward simplification (5,104 calls)
% 4.17/4.33 ; 0.098 3% Ordering (39,765 calls)
% 4.17/4.33 ; 0.000 0% Sortal reasoning (32 calls)
% 4.17/4.33 ; 0.000 0% Purity testing (1 call)
% 4.17/4.33 ; 0.110 3% Other
% 4.17/4.33 ; 3.875 Total
% 4.17/4.33 ; 3.875 Real time
% 4.17/4.33 ;
% 4.17/4.33 ; Term-hash-array has 9,859 terms in all.
% 4.17/4.33 ; Feature-vector-row-index has 2,140 entries (2,140 at peak, 2,160 added, 20 deleted).
% 4.17/4.33 ; Feature-vector-row-index has 7,845 nodes (7,845 at peak, 7,906 added, 61 deleted).
% 4.17/4.33 ; Retrieved 130,102 possibly forward subsuming rows in 15,264 calls.
% 4.17/4.33 ; Retrieved 3,813 possibly backward subsumed rows in 2,160 calls.
% 4.17/4.33 ; Path-index has 9,760 entries (9,760 at peak, 9,887 added, 127 deleted).
% 4.17/4.33 ; Path-index has 12,095 nodes (12,095 at peak, 12,135 added, 40 deleted).
% 4.17/4.33 ; Trie-index has 9,760 entries (9,760 at peak, 9,887 added, 127 deleted).
% 4.17/4.35 ; Trie-index has 26,049 nodes (26,049 at peak, 26,323 added, 274 deleted).
% 4.17/4.35 ; Retrieved 148,104 generalization terms in 212,266 calls.
% 4.17/4.35 ; Retrieved 4,437 instance terms in 2,944 calls.
% 4.17/4.35 ; Retrieved 2,559,937 unifiable terms in 16,943 calls.
% 4.17/4.35 ;
% 4.17/4.35 ; The agenda of rows to process has 568 entries:
% 4.17/4.35 ; 4 with value 12 11 with value 28 7 with value 43
% 4.17/4.35 ; 31 with value 13 21 with value 29 12 with value 44
% 4.17/4.35 ; 16 with value 14 6 with value 30 4 with value 45
% 4.17/4.35 ; 33 with value 15 14 with value 31 7 with value 46
% 4.17/4.35 ; 27 with value 16 1 with value 32 2 with value 47
% 4.17/4.35 ; 33 with value 17 8 with value 33 1 with value 48
% 4.17/4.35 ; 36 with value 18 13 with value 34 4 with value 49
% 4.17/4.35 ; 30 with value 19 8 with value 35 2 with value 50
% 4.17/4.35 ; 22 with value 20 10 with value 36 2 with value 51
% 4.17/4.35 ; 9 with value 21 4 with value 37 2 with value 53
% 4.17/4.35 ; 19 with value 22 13 with value 38 2 with value 54
% 4.17/4.35 ; 12 with value 23 17 with value 39 8 with value 55
% 4.17/4.35 ; 11 with value 24 7 with value 40 10 with value 56
% 4.17/4.35 ; 20 with value 25 13 with value 41 4 with value 57
% 4.17/4.35 ; 26 with value 26 17 with value 42 2 with value 58
% 4.17/4.35 ; 7 with value 27
% 4.17/4.35 ; The agenda of rows to give has 4779 entries:
% 4.17/4.35 ; 90 with value (4 10) 54 with value (4 30) 18 with value (4 50)
% 4.17/4.35 ; 152 with value (4 11) 100 with value (4 31) 21 with value (4 51)
% 4.17/4.35 ; 260 with value (4 12) 74 with value (4 32) 11 with value (4 52)
% 4.17/4.35 ; 373 with value (4 13) 57 with value (4 33) 10 with value (4 53)
% 4.17/4.35 ; 411 with value (4 14) 72 with value (4 34) 20 with value (4 54)
% 4.17/4.35 ; 408 with value (4 15) 49 with value (4 35) 28 with value (4 55)
% 4.17/4.35 ; 361 with value (4 16) 60 with value (4 36) 18 with value (4 56)
% 4.17/4.35 ; 277 with value (4 17) 43 with value (4 37) 21 with value (4 57)
% 4.17/4.35 ; 219 with value (4 18) 50 with value (4 38) 18 with value (4 58)
% 4.17/4.35 ; 176 with value (4 19) 75 with value (4 39) 10 with value (4 59)
% 4.17/4.35 ; 116 with value (4 20) 36 with value (4 40) 10 with value (4 60)
% 4.17/4.35 ; 128 with value (4 21) 31 with value (4 41) 4 with value (4 61)
% 4.17/4.35 ; 60 with value (4 22) 50 with value (4 42) 10 with value (4 62)
% 4.17/4.35 ; 83 with value (4 23) 45 with value (4 43) 10 with value (4 63)
% 4.17/4.35 ; 62 with value (4 24) 50 with value (4 44) 4 with value (4 64)
% 4.17/4.35 ; 60 with value (4 25) 30 with value (4 45) 12 with value (4 66)
% 4.17/4.35 ; 71 with value (4 26) 42 with value (4 46) 8 with value (4 67)
% 4.17/4.35 ; 36 with value (4 27) 49 with value (4 47) 8 with value (4 71)
% 4.17/4.35 ; 89 with value (4 28) 21 with value (4 48) 8 with value (4 72)
% 4.17/4.35 ; 77 with value (4 29) 33 with value (4 49)
% 4.17/4.35 Evaluation took:
% 4.17/4.35 3.893 seconds of real time
% 4.17/4.35 3.576047 seconds of user run time
% 4.17/4.35 0.316514 seconds of system run time
% 4.17/4.35 [Run times include 0.307 seconds GC run time.]
% 4.17/4.35 0 calls to %EVAL
% 4.17/4.35 0 page faults and
% 4.17/4.35 314,718,256 bytes consed.
% 4.17/4.35 :PROOF-FOUND
% 4.17/4.35 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-19T12:41:22
% 4.17/4.35 :PROOF-FOUND
% 4.17/4.35 *
%------------------------------------------------------------------------------