TSTP Solution File: SET934+1 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET934+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n009.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 05:13:32 EDT 2022
% Result : Theorem 2.14s 2.34s
% Output : Refutation 2.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of clauses : 16 ( 10 unt; 2 nHn; 14 RR)
% Number of literals : 27 ( 3 equ; 16 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 19 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
( X != powerset(Y)
| ~ in(Z,X)
| subset(Z,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_zfmisc_1) ).
cnf(3,axiom,
( X != powerset(Y)
| in(Z,X)
| ~ subset(Z,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_zfmisc_1) ).
cnf(6,axiom,
( X != set_union2(Y,Z)
| ~ in(U,X)
| in(U,Y)
| in(U,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_xboole_0) ).
cnf(12,axiom,
( subset(X,Y)
| in('SKOLEMAAAU3'(X,Y),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
cnf(13,axiom,
( subset(X,Y)
| ~ in('SKOLEMAAAU3'(X,Y),Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
cnf(19,axiom,
( ~ subset(X,Y)
| ~ subset(Y,Z)
| subset(X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_xboole_1) ).
cnf(20,axiom,
subset(X,set_union2(X,Y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_xboole_1) ).
cnf(21,negated_conjecture,
~ subset(set_union2(powerset('SKOLEMAAAU6'),powerset('SKOLEMAAAU7')),powerset(set_union2('SKOLEMAAAU6','SKOLEMAAAU7'))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t81_zfmisc_1) ).
cnf(28,plain,
~ in('SKOLEMAAAU3'(set_union2(powerset('SKOLEMAAAU6'),powerset('SKOLEMAAAU7')),powerset(set_union2('SKOLEMAAAU6','SKOLEMAAAU7'))),powerset(set_union2('SKOLEMAAAU6','SKOLEMAAAU7'))),
inference('UR-RESOLVE',[status(thm)],[13,21]) ).
cnf(29,plain,
in('SKOLEMAAAU3'(set_union2(powerset('SKOLEMAAAU6'),powerset('SKOLEMAAAU7')),powerset(set_union2('SKOLEMAAAU6','SKOLEMAAAU7'))),set_union2(powerset('SKOLEMAAAU6'),powerset('SKOLEMAAAU7'))),
inference('HYPERRESOLVE',[status(thm)],[21,12]) ).
cnf(2906,plain,
~ subset('SKOLEMAAAU3'(set_union2(powerset('SKOLEMAAAU6'),powerset('SKOLEMAAAU7')),powerset(set_union2('SKOLEMAAAU6','SKOLEMAAAU7'))),set_union2('SKOLEMAAAU6','SKOLEMAAAU7')),
inference('UR-RESOLVE',[status(thm)],[3,28,theory(equality)]) ).
cnf(4045,plain,
~ subset('SKOLEMAAAU3'(set_union2(powerset('SKOLEMAAAU6'),powerset('SKOLEMAAAU7')),powerset(set_union2('SKOLEMAAAU6','SKOLEMAAAU7'))),'SKOLEMAAAU6'),
inference('UR-RESOLVE',[status(thm)],[19,2906,20]) ).
cnf(4046,plain,
~ subset('SKOLEMAAAU3'(set_union2(powerset('SKOLEMAAAU6'),powerset('SKOLEMAAAU7')),powerset(set_union2('SKOLEMAAAU6','SKOLEMAAAU7'))),'SKOLEMAAAU7'),
inference('UR-RESOLVE',[status(thm)],[19,2906,20]) ).
cnf(4053,plain,
~ in('SKOLEMAAAU3'(set_union2(powerset('SKOLEMAAAU6'),powerset('SKOLEMAAAU7')),powerset(set_union2('SKOLEMAAAU6','SKOLEMAAAU7'))),powerset('SKOLEMAAAU6')),
inference('UR-RESOLVE',[status(thm)],[2,4045,theory(equality)]) ).
cnf(4071,plain,
~ in('SKOLEMAAAU3'(set_union2(powerset('SKOLEMAAAU6'),powerset('SKOLEMAAAU7')),powerset(set_union2('SKOLEMAAAU6','SKOLEMAAAU7'))),powerset('SKOLEMAAAU7')),
inference('UR-RESOLVE',[status(thm)],[2,4046,theory(equality)]) ).
cnf(4097,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[6,29,theory(equality)]),4071,4053]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET934+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n009.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 : Mon Jul 11 10:26:22 EDT 2022
% 0.12/0.33 % 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 2022-07-11T10:26:22
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n009.cluster.edu at 2022-07-11T10:26:22
% 0.19/0.48
% 0.19/0.48 ; Recognized commutativity assertion (= (|set_union2| ?X ?Y) (|set_union2| ?Y ?X)).
% 2.14/2.34 ; Declaring set_union2 to be commutative.
% 2.14/2.34
% 2.14/2.34 #||
% 2.14/2.34 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.14/2.34 % SZS output start Refutation
% See solution above
% 2.14/2.34 ||#
% 2.14/2.34
% 2.14/2.34 ; Summary of computation:
% 2.14/2.34 ; 17534 formulas have been input or derived (from 154 formulas).
% 2.14/2.34 ; 4097 (23%) were retained. Of these,
% 2.14/2.34 ; 231 ( 6%) were simplified or subsumed later,
% 2.14/2.34 ; 3866 (94%) are still being kept.
% 2.14/2.34 ;
% 2.14/2.34 ; Run time in seconds excluding printing time:
% 2.14/2.34 ; 0.003 0% Read assertion file (1 call)
% 2.14/2.34 ; 0.001 0% Assert (14 calls)
% 2.14/2.34 ; 0.359 19% Process new row (16,466 calls)
% 2.14/2.34 ; 0.399 21% Resolution (306 calls)
% 2.14/2.34 ; 0.024 1% Paramodulation (153 calls)
% 2.14/2.34 ; 0.000 0% Factoring (23 calls)
% 2.14/2.34 ; 0.032 2% Condensing (955 calls)
% 2.14/2.34 ; 0.038 2% Forward subsumption (955 calls)
% 2.14/2.34 ; 0.011 1% Backward subsumption (498 calls)
% 2.14/2.34 ; 0.049 3% Clause clause subsumption (6,990 calls)
% 2.14/2.34 ; 0.768 41% Forward simplification (16,466 calls)
% 2.14/2.34 ; 0.110 6% Backward simplification (4,097 calls)
% 2.14/2.34 ; 0.012 1% Ordering (5,626 calls)
% 2.14/2.34 ; 0.000 0% Sortal reasoning (32 calls)
% 2.14/2.34 ; 0.000 0% Purity testing (1 call)
% 2.14/2.34 ; 0.072 4% Other
% 2.14/2.34 ; 1.878 Total
% 2.14/2.34 ; 1.879 Real time
% 2.14/2.34 ;
% 2.14/2.34 ; Term-hash-array has 6,552 terms in all.
% 2.14/2.34 ; Feature-vector-row-index has 498 entries (498 at peak, 498 added, 0 deleted).
% 2.14/2.34 ; Feature-vector-row-index has 1,341 nodes (1,341 at peak, 1,341 added, 0 deleted).
% 2.14/2.34 ; Retrieved 7,931 possibly forward subsuming rows in 955 calls.
% 2.14/2.34 ; Retrieved 1,128 possibly backward subsumed rows in 498 calls.
% 2.14/2.34 ; Path-index has 6,304 entries (6,304 at peak, 6,556 added, 252 deleted).
% 2.14/2.34 ; Path-index has 8,116 nodes (8,116 at peak, 8,118 added, 2 deleted).
% 2.14/2.34 ; Trie-index has 6,304 entries (6,304 at peak, 6,556 added, 252 deleted).
% 2.14/2.34 ; Trie-index has 41,673 nodes (41,673 at peak, 42,758 added, 1,085 deleted).
% 2.14/2.34 ; Retrieved 113,564 generalization terms in 76,743 calls.
% 2.14/2.34 ; Retrieved 12,245 instance terms in 3,598 calls.
% 2.14/2.34 ; Retrieved 364,301 unifiable terms in 8,534 calls.
% 2.14/2.34 ;
% 2.14/2.34 ; The agenda of rows to process has 8 entries:
% 2.14/2.34 ; 1 with value 37 4 with value 41 1 with value 42
% 2.14/2.34 ; 2 with value 40
% 2.14/2.34 ; The agenda of rows to give has 3714 entries:
% 2.14/2.34 ; 3 with value (4 15) 233 with value (4 35) 1 with value (4 54)
% 2.14/2.34 ; 1 with value (4 18) 218 with value (4 36) 4 with value (4 55)
% 2.14/2.34 ; 71 with value (4 21) 165 with value (4 37) 1 with value (4 56)
% 2.14/2.34 ; 84 with value (4 22) 145 with value (4 38) 2 with value (4 57)
% 2.14/2.34 ; 73 with value (4 23) 127 with value (4 39) 1 with value (4 58)
% 2.14/2.34 ; 114 with value (4 24) 76 with value (4 40) 2 with value (4 59)
% 2.14/2.34 ; 161 with value (4 25) 35 with value (4 41) 1 with value (4 60)
% 2.14/2.34 ; 124 with value (4 26) 61 with value (4 42) 4 with value (4 61)
% 2.14/2.34 ; 182 with value (4 27) 16 with value (4 43) 4 with value (4 62)
% 2.14/2.34 ; 230 with value (4 28) 20 with value (4 45) 1 with value (4 64)
% 2.14/2.34 ; 199 with value (4 29) 15 with value (4 46) 2 with value (4 65)
% 2.14/2.34 ; 220 with value (4 30) 7 with value (4 47) 1 with value (4 67)
% 2.14/2.34 ; 280 with value (4 31) 12 with value (4 48) 2 with value (4 68)
% 2.14/2.34 ; 263 with value (4 32) 2 with value (4 49) 2 with value (4 69)
% 2.14/2.34 ; 242 with value (4 33) 5 with value (4 50) 4 with value (4 70)
% 2.14/2.34 ; 286 with value (4 34) 12 with value (4 51)
% 2.14/2.34 Evaluation took:
% 2.14/2.34 1.88 seconds of real time
% 2.14/2.34 1.746977 seconds of user run time
% 2.14/2.34 0.1328 seconds of system run time
% 2.14/2.34 [Run times include 0.159 seconds GC run time.]
% 2.14/2.34 0 calls to %EVAL
% 2.14/2.34 0 page faults and
% 2.14/2.34 169,284,672 bytes consed.
% 2.14/2.34 :PROOF-FOUND
% 2.14/2.34 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T10:26:24
% 2.14/2.34 :PROOF-FOUND
% 2.14/2.34 *
%------------------------------------------------------------------------------