TSTP Solution File: SEU137+2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU137+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 14:19:24 EDT 2022
% Result : Theorem 0.21s 0.53s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 4
% Syntax : Number of clauses : 6 ( 5 unt; 0 nHn; 5 RR)
% Number of literals : 7 ( 4 equ; 3 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 4 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(36,axiom,
( ~ subset(X,Y)
| set_union2(X,Y) = Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_xboole_1) ).
cnf(49,axiom,
set_union2(X,set_difference(Y,X)) = set_union2(X,Y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t39_xboole_1) ).
cnf(56,negated_conjecture,
subset('SKOLEMAAAV10','SKOLEMAAAV11'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t45_xboole_1) ).
cnf(57,negated_conjecture,
'SKOLEMAAAV11' != set_union2('SKOLEMAAAV10',set_difference('SKOLEMAAAV11','SKOLEMAAAV10')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t45_xboole_1) ).
cnf(58,plain,
'SKOLEMAAAV11' != set_union2('SKOLEMAAAV10','SKOLEMAAAV11'),
inference('REWRITE',[status(thm)],[57,49,theory(equality)]) ).
cnf(79,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[36,56,58]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU137+2 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.13 % 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 : Mon Jun 20 09:16:31 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.21/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.47 *
% 0.21/0.47 *
% 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 2022-06-20T09:16:31
% 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 2022-06-20T09:16:31
% 0.21/0.50
% 0.21/0.50 ; Recognized commutativity assertion (= (|set_union2| ?X ?Y) (|set_union2| ?Y ?X)).
% 0.21/0.50 ; Recognized commutativity assertion (= (|set_intersection2| ?X ?Y) (|set_intersection2| ?Y ?X)).
% 0.21/0.50 ; Recognized commutativity assertion (OR (NOT (|disjoint| ?X ?Y)) (|disjoint| ?Y ?X)).
% 0.21/0.50 ; Recognized right identity assertion (= (|set_union2| ?X |empty_set|) ?X).
% 0.21/0.50 ; Recognized right identity assertion (= (|set_difference| ?X |empty_set|) ?X).
% 0.21/0.50 ; Declaring set_union2 to be commutative.
% 0.21/0.50 ; Declaring set_intersection2 to be commutative.
% 0.21/0.53 ; Declaring disjoint to be commutative.
% 0.21/0.53
% 0.21/0.53 #||
% 0.21/0.53 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.53 % SZS output start Refutation
% See solution above
% 0.21/0.53 ||#
% 0.21/0.53
% 0.21/0.53 ; Summary of computation:
% 0.21/0.53 ; 197 formulas have been input or derived (from 33 formulas).
% 0.21/0.53 ; 79 (40%) were retained. Of these,
% 0.21/0.53 ; 2 ( 3%) were simplified or subsumed later,
% 0.21/0.53 ; 77 (97%) are still being kept.
% 0.21/0.53 ;
% 0.21/0.53 ; Run time in seconds excluding printing time:
% 0.21/0.53 ; 0.009 17% Read assertion file (1 call)
% 0.21/0.53 ; 0.002 4% Assert (50 calls)
% 0.21/0.53 ; 0.006 12% Process new row (174 calls)
% 0.21/0.53 ; 0.001 2% Resolution (64 calls)
% 0.21/0.53 ; 0.001 2% Paramodulation (32 calls)
% 0.21/0.53 ; 0.000 0% Factoring (2 calls)
% 0.21/0.53 ; 0.001 2% Condensing (57 calls)
% 0.21/0.53 ; 0.001 2% Forward subsumption (57 calls)
% 0.21/0.53 ; 0.000 0% Backward subsumption (50 calls)
% 0.21/0.53 ; 0.002 4% Clause clause subsumption (29 calls)
% 0.21/0.53 ; 0.004 8% Forward simplification (173 calls)
% 0.21/0.53 ; 0.001 2% Backward simplification (78 calls)
% 0.21/0.53 ; 0.000 0% Ordering (98 calls)
% 0.21/0.53 ; 0.000 0% Sortal reasoning (32 calls)
% 0.21/0.53 ; 0.000 0% Purity testing (1 call)
% 0.21/0.53 ; 0.024 46% Other
% 0.21/0.53 ; 0.052 Total
% 0.21/0.53 ; 0.055 Real time
% 0.21/0.53 ;
% 0.21/0.53 ; Term-hash-array has 113 terms in all.
% 0.21/0.53 ; Feature-vector-row-index has 50 entries (50 at peak, 50 added, 0 deleted).
% 0.21/0.53 ; Feature-vector-row-index has 107 nodes (107 at peak, 107 added, 0 deleted).
% 0.21/0.53 ; Retrieved 48 possibly forward subsuming rows in 57 calls.
% 0.21/0.53 ; Retrieved 12 possibly backward subsumed rows in 50 calls.
% 0.21/0.53 ; Path-index has 117 entries (117 at peak, 118 added, 1 deleted).
% 0.21/0.53 ; Path-index has 211 nodes (211 at peak, 212 added, 1 deleted).
% 0.21/0.53 ; Trie-index has 117 entries (117 at peak, 118 added, 1 deleted).
% 0.21/0.53 ; Trie-index has 232 nodes (232 at peak, 233 added, 1 deleted).
% 0.21/0.53 ; Retrieved 146 generalization terms in 194 calls.
% 0.21/0.53 ; Retrieved 42 instance terms in 27 calls.
% 0.21/0.53 ; Retrieved 1,242 unifiable terms in 178 calls.
% 0.21/0.53 ;
% 0.21/0.53 ; The agenda of rows to process has 13 entries:
% 0.21/0.53 ; 1 with value 5 4 with value 11 1 with value 15
% 0.21/0.53 ; 6 with value 8 1 with value 13
% 0.21/0.53 ; The agenda of input rows to give has 33 entries:
% 0.21/0.53 ; 4 with value 11 6 with value 15 6 with value 23
% 0.21/0.53 ; 6 with value 12 2 with value 18 3 with value 31
% 0.21/0.53 ; 3 with value 13 3 with value 19
% 0.21/0.53 ; The agenda of rows to give has 12 entries:
% 0.21/0.53 ; 3 with value (4 5) 1 with value (4 9) 1 with value (4 12)
% 0.21/0.53 ; 1 with value (4 7) 3 with value (4 11) 1 with value (4 15)
% 0.21/0.53 ; 2 with value (4 8)
% 0.21/0.53 Evaluation took:
% 0.21/0.53 0.055 seconds of real time
% 0.21/0.53 0.048367 seconds of user run time
% 0.21/0.53 0.005995 seconds of system run time
% 0.21/0.53 0 calls to %EVAL
% 0.21/0.53 0 page faults and
% 0.21/0.53 2,616,128 bytes consed.
% 0.21/0.53 :PROOF-FOUND
% 0.21/0.53 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-20T09:16:31
% 0.21/0.53 :PROOF-FOUND
% 0.21/0.53 *
%------------------------------------------------------------------------------