%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET024-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n008.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 05:06:02 EDT 2022
% Result : Unsatisfiable 0.60s 0.82s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 4
% Syntax : Number of clauses : 6 ( 5 unt; 0 nHn; 3 RR)
% Number of literals : 7 ( 1 equ; 2 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 2 ( 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 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(unordered_pair2,axiom,
( ~ member(X,universal_class)
| member(X,unordered_pair(X,Y)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',unordered_pair2) ).
cnf(singleton_set,axiom,
unordered_pair(X,X) = singleton(X),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',singleton_set) ).
cnf(prove_set_in_its_singleton_1,negated_conjecture,
member(x,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_set_in_its_singleton_1) ).
cnf(prove_set_in_its_singleton_2,negated_conjecture,
~ member(x,singleton(x)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_set_in_its_singleton_2) ).
cnf(155,plain,
member(x,unordered_pair(x,X)),
inference('HYPERRESOLVE',[status(thm)],[unordered_pair2,prove_set_in_its_singleton_1]) ).
cnf(1230,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[155,singleton_set,theory(equality)]),prove_set_in_its_singleton_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SET024-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.04/0.13 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n008.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 08:09:08 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/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 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T08:09:08
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n008.cluster.edu at 2022-07-10T08:09:08
% 0.19/0.50
% 0.19/0.50 ; Recognized commutativity assertion (= (|unordered_pair| ?X ?Y) (|unordered_pair| ?Y ?X)).
% 0.60/0.82 ; Declaring unordered_pair to be commutative.
% 0.60/0.82
% 0.60/0.82 #||
% 0.60/0.82 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.60/0.82 % SZS output start Refutation
% See solution above
% 0.60/0.82 ||#
% 0.60/0.82
% 0.60/0.82 ; Summary of computation:
% 0.60/0.82 ; 3254 formulas have been input or derived (from 144 formulas).
% 0.60/0.82 ; 1230 (38%) were retained. Of these,
% 0.60/0.82 ; 31 ( 3%) were simplified or subsumed later,
% 0.60/0.82 ; 1199 (97%) are still being kept.
% 0.60/0.82 ;
% 0.60/0.82 ; Run time in seconds excluding printing time:
% 0.60/0.82 ; 0.021 6% Read assertion file (1 call)
% 0.60/0.82 ; 0.005 1% Assert (123 calls)
% 0.60/0.82 ; 0.080 23% Process new row (2,883 calls)
% 0.60/0.82 ; 0.062 18% Resolution (286 calls)
% 0.60/0.82 ; 0.006 2% Paramodulation (143 calls)
% 0.60/0.82 ; 0.000 0% Factoring (8 calls)
% 0.60/0.82 ; 0.016 5% Condensing (862 calls)
% 0.60/0.82 ; 0.042 12% Forward subsumption (862 calls)
% 0.60/0.82 ; 0.028 8% Backward subsumption (605 calls)
% 0.60/0.82 ; 0.009 3% Clause clause subsumption (1,104 calls)
% 0.60/0.82 ; 0.032 9% Forward simplification (2,882 calls)
% 0.60/0.82 ; 0.011 3% Backward simplification (1,218 calls)
% 0.60/0.82 ; 0.006 2% Ordering (2,491 calls)
% 0.60/0.82 ; 0.000 0% Sortal reasoning (32 calls)
% 0.60/0.82 ; 0.000 0% Purity testing (1 call)
% 0.60/0.82 ; 0.034 10% Other
% 0.60/0.82 ; 0.352 Total
% 0.60/0.82 ; 0.354 Real time
% 0.60/0.82 ;
% 0.60/0.82 ; Term-hash-array has 2,194 terms in all.
% 0.60/0.82 ; Feature-vector-row-index has 588 entries (588 at peak, 605 added, 17 deleted).
% 0.60/0.82 ; Feature-vector-row-index has 2,795 nodes (2,795 at peak, 2,935 added, 140 deleted).
% 0.60/0.82 ; Retrieved 1,860 possibly forward subsuming rows in 862 calls.
% 0.60/0.82 ; Retrieved 296 possibly backward subsumed rows in 605 calls.
% 0.60/0.82 ; Path-index has 2,200 entries (2,200 at peak, 2,249 added, 49 deleted).
% 0.60/0.82 ; Path-index has 3,334 nodes (3,334 at peak, 3,373 added, 39 deleted).
% 0.60/0.82 ; Trie-index has 2,200 entries (2,200 at peak, 2,249 added, 49 deleted).
% 0.60/0.82 ; Trie-index has 6,247 nodes (6,247 at peak, 6,354 added, 107 deleted).
% 0.60/0.82 ; Retrieved 3,070 generalization terms in 8,661 calls.
% 0.60/0.82 ; Retrieved 632 instance terms in 612 calls.
% 0.60/0.82 ; Retrieved 65,110 unifiable terms in 2,515 calls.
% 0.60/0.82 ;
% 0.60/0.82 ; The agenda of rows to process has 143 entries:
% 0.60/0.82 ; 3 with value 9 40 with value 15 6 with value 23
% 0.60/0.82 ; 3 with value 10 16 with value 16 1 with value 24
% 0.60/0.82 ; 13 with value 11 3 with value 18 4 with value 25
% 0.60/0.82 ; 4 with value 12 6 with value 19 4 with value 27
% 0.60/0.82 ; 4 with value 13 6 with value 20 4 with value 34
% 0.60/0.82 ; 24 with value 14 2 with value 22
% 0.60/0.82 ; The agenda of rows to give has 1056 entries:
% 0.60/0.82 ; 24 with value (4 8) 29 with value (4 22) 3 with value (4 37)
% 0.60/0.82 ; 36 with value (4 9) 24 with value (4 23) 1 with value (4 38)
% 0.60/0.82 ; 59 with value (4 10) 41 with value (4 24) 1 with value (4 41)
% 0.60/0.82 ; 54 with value (4 11) 13 with value (4 25) 1 with value (4 42)
% 0.60/0.82 ; 41 with value (4 12) 27 with value (4 26) 1 with value (4 43)
% 0.60/0.82 ; 103 with value (4 13) 16 with value (4 27) 1 with value (4 44)
% 0.60/0.82 ; 140 with value (4 14) 8 with value (4 28) 1 with value (4 45)
% 0.60/0.82 ; 79 with value (4 15) 13 with value (4 29) 3 with value (4 46)
% 0.60/0.82 ; 45 with value (4 16) 14 with value (4 30) 1 with value (4 49)
% 0.60/0.82 ; 30 with value (4 17) 3 with value (4 31) 1 with value (4 51)
% 0.60/0.82 ; 74 with value (4 18) 9 with value (4 32) 1 with value (4 53)
% 0.60/0.82 ; 75 with value (4 19) 2 with value (4 33) 1 with value (4 59)
% 0.60/0.82 ; 28 with value (4 20) 4 with value (4 34) 1 with value (4 63)
% 0.60/0.82 ; 40 with value (4 21) 8 with value (4 35)
% 0.60/0.82 Evaluation took:
% 0.60/0.82 0.355 seconds of real time
% 0.60/0.82 0.313062 seconds of user run time
% 0.60/0.82 0.041183 seconds of system run time
% 0.60/0.82 [Run times include 0.01 seconds GC run time.]
% 0.60/0.82 0 calls to %EVAL
% 0.60/0.82 0 page faults and
% 0.60/0.82 24,164,232 bytes consed.
% 0.60/0.82 :PROOF-FOUND
% 0.60/0.82 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T08:09:08
% 0.60/0.82 :PROOF-FOUND
% 0.60/0.82 *
%------------------------------------------------------------------------------