TSTP Solution File: SET914+1 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET914+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n015.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 05:13:22 EDT 2022
% Result : Theorem 0.37s 0.54s
% Output : Refutation 0.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 6
% Syntax : Number of clauses : 11 ( 7 unt; 0 nHn; 10 RR)
% Number of literals : 18 ( 7 equ; 10 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 : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 16 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
( X != empty_set
| ~ in(Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_xboole_0) ).
cnf(5,axiom,
( X != unordered_pair(Y,Z)
| in(U,X)
| U != Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_tarski) ).
cnf(10,axiom,
( X != set_intersection2(Y,Z)
| in(U,X)
| ~ in(U,Y)
| ~ in(U,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_xboole_0) ).
cnf(14,axiom,
( ~ disjoint(X,Y)
| set_intersection2(X,Y) = empty_set ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d7_xboole_0) ).
cnf(20,negated_conjecture,
disjoint(unordered_pair('SKOLEMAAAV6','SKOLEMAAAV7'),'SKOLEMAAAV8'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t55_zfmisc_1) ).
cnf(21,negated_conjecture,
in('SKOLEMAAAV6','SKOLEMAAAV8'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t55_zfmisc_1) ).
cnf(24,plain,
~ in(X,empty_set),
inference('UR-RESOLVE',[status(thm)],[2,theory(equality)]) ).
cnf(25,plain,
set_intersection2(unordered_pair('SKOLEMAAAV6','SKOLEMAAAV7'),'SKOLEMAAAV8') = empty_set,
inference('HYPERRESOLVE',[status(thm)],[14,20]) ).
cnf(28,plain,
in(X,unordered_pair(X,Y)),
inference('HYPERRESOLVE',[status(thm)],[5,theory(equality),theory(equality)]) ).
cnf(75,plain,
empty_set != set_intersection2(unordered_pair('SKOLEMAAAV6',X),'SKOLEMAAAV8'),
inference('UR-RESOLVE',[status(thm)],[10,28,24,21]) ).
cnf(76,plain,
$false,
inference('REWRITE',[status(thm)],[25,75]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET914+1 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.13 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n015.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 Jul 10 15:33:53 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 0.19/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46 (USE-FACTORING :POS)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46 *
% 0.19/0.46 "."
% 0.19/0.46 *
% 0.19/0.46 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T15:33:53
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n015.cluster.edu at 2022-07-10T15:33:53
% 0.19/0.48
% 0.19/0.48 ; Recognized commutativity assertion (= (|unordered_pair| ?X ?Y) (|unordered_pair| ?Y ?X)).
% 0.19/0.48 ; Recognized commutativity assertion (= (|set_intersection2| ?X ?Y) (|set_intersection2| ?Y ?X)).
% 0.19/0.48 ; Recognized commutativity assertion (OR (NOT (|disjoint| ?X ?Y)) (|disjoint| ?Y ?X)).
% 0.19/0.48 ; Declaring unordered_pair to be commutative.
% 0.19/0.48 ; Declaring set_intersection2 to be commutative.
% 0.37/0.54 ; Declaring disjoint to be commutative.
% 0.37/0.54
% 0.37/0.54 #||
% 0.37/0.54 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.37/0.54 % SZS output start Refutation
% See solution above
% 0.37/0.55 ||#
% 0.37/0.55
% 0.37/0.55 ; Summary of computation:
% 0.37/0.55 ; 388 formulas have been input or derived (from 28 formulas).
% 0.37/0.55 ; 76 (20%) were retained. Of these,
% 0.37/0.55 ; 9 (12%) were simplified or subsumed later,
% 0.37/0.55 ; 67 (88%) are still being kept.
% 0.37/0.55 ;
% 0.37/0.55 ; Run time in seconds excluding printing time:
% 0.37/0.55 ; 0.003 4% Read assertion file (1 call)
% 0.37/0.55 ; 0.001 1% Assert (13 calls)
% 0.37/0.55 ; 0.004 5% Process new row (256 calls)
% 0.37/0.55 ; 0.016 20% Resolution (54 calls)
% 0.37/0.55 ; 0.000 0% Paramodulation (27 calls)
% 0.37/0.55 ; 0.000 0% Factoring (5 calls)
% 0.37/0.55 ; 0.005 6% Condensing (166 calls)
% 0.37/0.55 ; 0.010 13% Forward subsumption (166 calls)
% 0.37/0.55 ; 0.000 0% Backward subsumption (46 calls)
% 0.37/0.55 ; 0.005 6% Clause clause subsumption (259 calls)
% 0.37/0.55 ; 0.004 5% Forward simplification (256 calls)
% 0.37/0.55 ; 0.001 1% Backward simplification (76 calls)
% 0.37/0.55 ; 0.001 1% Ordering (556 calls)
% 0.37/0.55 ; 0.000 0% Sortal reasoning (32 calls)
% 0.37/0.55 ; 0.000 0% Purity testing (1 call)
% 0.37/0.55 ; 0.029 37% Other
% 0.37/0.55 ; 0.079 Total
% 0.37/0.55 ; 0.081 Real time
% 0.37/0.55 ;
% 0.37/0.55 ; Term-hash-array has 162 terms in all.
% 0.37/0.55 ; Feature-vector-row-index has 41 entries (42 at peak, 46 added, 5 deleted).
% 0.37/0.55 ; Feature-vector-row-index has 116 nodes (126 at peak, 138 added, 22 deleted).
% 0.37/0.55 ; Retrieved 464 possibly forward subsuming rows in 166 calls.
% 0.37/0.55 ; Retrieved 49 possibly backward subsumed rows in 46 calls.
% 0.37/0.55 ; Path-index has 159 entries (161 at peak, 181 added, 22 deleted).
% 0.37/0.55 ; Path-index has 182 nodes (184 at peak, 194 added, 12 deleted).
% 0.37/0.55 ; Trie-index has 159 entries (161 at peak, 181 added, 22 deleted).
% 0.37/0.55 ; Trie-index has 329 nodes (336 at peak, 374 added, 45 deleted).
% 0.37/0.55 ; Retrieved 337 generalization terms in 828 calls.
% 0.37/0.55 ; Retrieved 36 instance terms in 29 calls.
% 0.37/0.55 ; Retrieved 5,190 unifiable terms in 381 calls.
% 0.37/0.55 ;
% 0.37/0.55 ; The agenda of rows to process has 38 entries:
% 0.37/0.55 ; 3 with value 12 1 with value 23 1 with value 42
% 0.37/0.55 ; 7 with value 14 1 with value 27 10 with value 44
% 0.37/0.55 ; 4 with value 19 10 with value 34 1 with value 52
% 0.37/0.55 ; The agenda of rows to give has 39 entries:
% 0.37/0.55 ; 1 with value (4 8) 4 with value (4 16) 3 with value (4 32)
% 0.37/0.55 ; 9 with value (4 9) 2 with value (4 17) 2 with value (4 33)
% 0.37/0.55 ; 3 with value (4 11) 1 with value (4 19) 4 with value (4 43)
% 0.37/0.55 ; 2 with value (4 12) 1 with value (4 21) 2 with value (4 44)
% 0.37/0.55 ; 3 with value (4 13) 1 with value (4 26) 1 with value (4 54)
% 0.37/0.55 Evaluation took:
% 0.37/0.55 0.082 seconds of real time
% 0.37/0.55 0.074544 seconds of user run time
% 0.37/0.55 0.006766 seconds of system run time
% 0.37/0.55 0 calls to %EVAL
% 0.37/0.55 0 page faults and
% 0.37/0.55 4,421,696 bytes consed.
% 0.37/0.55 :PROOF-FOUND
% 0.37/0.55 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T15:33:53
% 0.37/0.55 :PROOF-FOUND
% 0.37/0.55 *
%------------------------------------------------------------------------------