%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET082-6 : 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 05:07:03 EDT 2022
% Result : Unsatisfiable 0.84s 1.04s
% Output : Refutation 0.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 7
% Syntax : Number of clauses : 12 ( 8 unt; 2 nHn; 9 RR)
% Number of literals : 18 ( 7 equ; 7 neg)
% Maximal clause size : 3 ( 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; 3 con; 0-2 aty)
% Number of variables : 12 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(subclass_members,axiom,
( ~ subclass(X,Y)
| ~ member(Z,X)
| member(Z,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',subclass_members) ).
cnf(class_elements_are_sets,axiom,
subclass(X,universal_class),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',class_elements_are_sets) ).
cnf(unordered_pair_member,axiom,
( ~ member(X,unordered_pair(Y,Z))
| X = Y
| X = Z ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',unordered_pair_member) ).
cnf(singleton_set,axiom,
unordered_pair(X,X) = singleton(X),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',singleton_set) ).
cnf(regularity1,axiom,
( X = null_class
| member(regular(X),X) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',regularity1) ).
cnf(prove_singleton_is_null_class_1,negated_conjecture,
~ member(x,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_singleton_is_null_class_1) ).
cnf(prove_singleton_is_null_class_2,negated_conjecture,
singleton(x) != null_class,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_singleton_is_null_class_2) ).
cnf(117,plain,
member(regular(singleton(x)),singleton(x)),
inference('UR-RESOLVE',[status(thm)],[regularity1,prove_singleton_is_null_class_2]) ).
cnf(133,plain,
~ member(x,X),
inference('UR-RESOLVE',[status(thm)],[subclass_members,class_elements_are_sets,prove_singleton_is_null_class_1]) ).
cnf(174,plain,
( ~ member(X,singleton(Y))
| X = Y ),
inference('PARAMODULATE',[status(thm)],[unordered_pair_member,singleton_set,theory(equality)]) ).
cnf(4390,plain,
regular(singleton(x)) = x,
inference('HYPERRESOLVE',[status(thm)],[174,117]) ).
cnf(4391,plain,
$false,
inference('REWRITE',[status(thm)],[117,133,4390,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : SET082-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.00/0.07 % Command : run-snark %s %d
% 0.06/0.25 % Computer : n008.cluster.edu
% 0.06/0.25 % Model : x86_64 x86_64
% 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.25 % Memory : 8042.1875MB
% 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.26 % CPULimit : 300
% 0.06/0.26 % WCLimit : 600
% 0.06/0.26 % DateTime : Sun Jul 10 10:16:38 EDT 2022
% 0.06/0.26 % CPUTime :
% 0.11/0.33 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.33 *
% 0.11/0.33 *
% 0.11/0.33 #<PACKAGE "SNARK-USER">
% 0.11/0.33 *
% 0.11/0.34 SNARK-TPTP-OPTIONS
% 0.11/0.34 *
% 0.11/0.34 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.11/0.34 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.11/0.34 (USE-FACTORING :POS)
% 0.11/0.34 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.11/0.34 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.11/0.34 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.11/0.34 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.11/0.34 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.11/0.34 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.11/0.34 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.11/0.34 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.11/0.34 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.11/0.34 (DECLARE-TPTP-SYMBOLS2))
% 0.11/0.34 *
% 0.11/0.34 "."
% 0.11/0.34 *
% 0.11/0.34 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T10:16:38
% 0.11/0.34 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n008.cluster.edu at 2022-07-10T10:16:38
% 0.84/1.04
% 0.84/1.04
% 0.84/1.04 #||
% 0.84/1.04 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.84/1.04 % SZS output start Refutation
% See solution above
% 0.84/1.04 ||#
% 0.84/1.04
% 0.84/1.04 ; Summary of computation:
% 0.84/1.04 ; 8861 formulas have been input or derived (from 227 formulas).
% 0.84/1.04 ; 4391 (50%) were retained. Of these,
% 0.84/1.04 ; 464 (11%) were simplified or subsumed later,
% 0.84/1.04 ; 3927 (89%) are still being kept.
% 0.84/1.04 ;
% 0.84/1.04 ; Run time in seconds:
% 0.84/1.04 ; 0.008 1% Read assertion file (1 call)
% 0.84/1.04 ; 0.000 0% Assert (93 calls)
% 0.84/1.04 ; 0.252 36% Process new row (8,258 calls)
% 0.84/1.04 ; 0.204 29% Resolution (452 calls)
% 0.84/1.04 ; 0.004 1% Paramodulation (226 calls)
% 0.84/1.04 ; 0.000 0% Factoring (5 calls)
% 0.84/1.04 ; 0.005 1% Condensing (659 calls)
% 0.84/1.04 ; 0.028 4% Forward subsumption (659 calls)
% 0.84/1.04 ; 0.011 2% Backward subsumption (633 calls)
% 0.84/1.04 ; 0.001 0% Clause clause subsumption (1,249 calls)
% 0.84/1.04 ; 0.092 13% Forward simplification (8,256 calls)
% 0.84/1.04 ; 0.056 8% Backward simplification (4,379 calls)
% 0.84/1.04 ; 0.001 0% Ordering (1,618 calls)
% 0.84/1.04 ; 0.000 0% Sortal reasoning (32 calls)
% 0.84/1.04 ; 0.001 0% Purity testing (1 call)
% 0.84/1.04 ; 0.044 6% Other
% 0.84/1.04 ; 0.707 Total
% 0.84/1.04 ; 0.708 Real time
% 0.84/1.04 ;
% 0.84/1.04 ; Term-hash-array has 6,781 terms in all.
% 0.84/1.04 ; Feature-vector-row-index has 604 entries (621 at peak, 633 added, 29 deleted).
% 0.84/1.04 ; Feature-vector-row-index has 2,988 nodes (3,051 at peak, 3,129 added, 141 deleted).
% 0.84/1.04 ; Retrieved 1,200 possibly forward subsuming rows in 659 calls.
% 0.84/1.04 ; Retrieved 341 possibly backward subsumed rows in 633 calls.
% 0.84/1.04 ; Path-index has 6,159 entries (6,501 at peak, 6,828 added, 669 deleted).
% 0.84/1.04 ; Path-index has 4,797 nodes (4,834 at peak, 4,914 added, 117 deleted).
% 0.84/1.04 ; Trie-index has 6,159 entries (6,501 at peak, 6,828 added, 669 deleted).
% 0.84/1.04 ; Trie-index has 17,358 nodes (18,285 at peak, 19,087 added, 1,729 deleted).
% 0.84/1.04 ; Retrieved 5,808 generalization terms in 20,234 calls.
% 0.84/1.04 ; Retrieved 3,767 instance terms in 3,745 calls.
% 0.84/1.04 ; Retrieved 341,070 unifiable terms in 6,886 calls.
% 0.84/1.04 ;
% 0.84/1.04 ; The agenda of backward simplifiable rows to process has 234 entries:
% 0.84/1.04 ; 234 with value 0
% 0.84/1.04 ; The agenda of rows to process has 25 entries:
% 0.84/1.04 ; 4 with value 10 10 with value 12 1 with value 16
% 0.84/1.04 ; 3 with value 11 7 with value 13
% 0.84/1.04 ; The agenda of rows to give has 3720 entries:
% 0.84/1.04 ; 1 with value (4 10) 21 with value (4 22) 2 with value (4 34)
% 0.84/1.04 ; 80 with value (4 11) 13 with value (4 23) 2 with value (4 37)
% 0.84/1.04 ; 104 with value (4 12) 11 with value (4 24) 1 with value (4 43)
% 0.84/1.04 ; 152 with value (4 13) 4 with value (4 25) 1 with value (4 44)
% 0.84/1.04 ; 216 with value (4 14) 9 with value (4 26) 1 with value (4 45)
% 0.84/1.04 ; 178 with value (4 15) 5 with value (4 27) 3 with value (4 46)
% 0.84/1.04 ; 444 with value (4 16) 7 with value (4 28) 1 with value (4 49)
% 0.84/1.04 ; 489 with value (4 17) 12 with value (4 29) 1 with value (4 51)
% 0.84/1.04 ; 852 with value (4 18) 3 with value (4 30) 1 with value (4 53)
% 0.84/1.04 ; 584 with value (4 19) 2 with value (4 31) 1 with value (4 59)
% 0.84/1.04 ; 295 with value (4 20) 1 with value (4 32) 1 with value (4 63)
% 0.84/1.04 ; 220 with value (4 21) 2 with value (4 33)
% 0.84/1.04 Evaluation took:
% 0.84/1.04 0.708 seconds of real time
% 0.84/1.04 0.654197 seconds of user run time
% 0.84/1.04 0.053946 seconds of system run time
% 0.84/1.04 [Run times include 0.062 seconds GC run time.]
% 0.84/1.04 0 calls to %EVAL
% 0.84/1.04 0 page faults and
% 0.84/1.04 52,046,176 bytes consed.
% 0.84/1.04 :PROOF-FOUND
% 0.84/1.04 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T10:16:39
% 0.84/1.04 :PROOF-FOUND
% 0.84/1.04 *
%------------------------------------------------------------------------------