%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET093-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n005.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 05:07:13 EDT 2022
% Result : Unsatisfiable 0.39s 0.59s
% Output : Refutation 0.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 6
% Syntax : Number of clauses : 9 ( 8 unt; 0 nHn; 5 RR)
% Number of literals : 11 ( 2 equ; 4 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 : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 9 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(subclass_members,axiom,
( ~ subclass(X,Y)
| ~ member(Z,X)
| member(Z,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',subclass_members) ).
cnf(class_elements_are_sets,axiom,
subclass(X,universal_class),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',class_elements_are_sets) ).
cnf(unordered_pairs_in_universal,axiom,
member(unordered_pair(X,Y),universal_class),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',unordered_pairs_in_universal) ).
cnf(singleton_set,axiom,
unordered_pair(X,X) = singleton(X),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',singleton_set) ).
cnf(prove_corollary_2_to_singletons_are_sets_1,negated_conjecture,
singleton(member_of(x)) = x,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_2_to_singletons_are_sets_1) ).
cnf(prove_corollary_2_to_singletons_are_sets_2,negated_conjecture,
~ member(x,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_2_to_singletons_are_sets_2) ).
cnf(108,plain,
member(singleton(X),universal_class),
inference('PARAMODULATE',[status(thm)],[unordered_pairs_in_universal,singleton_set,theory(equality)]) ).
cnf(132,plain,
~ member(x,X),
inference('UR-RESOLVE',[status(thm)],[subclass_members,class_elements_are_sets,prove_corollary_2_to_singletons_are_sets_2]) ).
cnf(278,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[108,prove_corollary_2_to_singletons_are_sets_1,theory(equality)]),132]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SET093-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.04/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n005.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jul 10 15:25:37 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 0.19/0.48 #<PACKAGE "SNARK-USER">
% 0.19/0.48 *
% 0.19/0.48 SNARK-TPTP-OPTIONS
% 0.19/0.48 *
% 0.19/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.48 (USE-FACTORING :POS)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.48 *
% 0.19/0.48 "."
% 0.19/0.48 *
% 0.19/0.48 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T15:25:37
% 0.19/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n005.cluster.edu at 2022-07-10T15:25:37
% 0.39/0.59
% 0.39/0.59
% 0.39/0.59 #||
% 0.39/0.59 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.39/0.59 % SZS output start Refutation
% See solution above
% 0.39/0.59 ||#
% 0.39/0.59
% 0.39/0.59 ; Summary of computation:
% 0.39/0.59 ; 541 formulas have been input or derived (from 99 formulas).
% 0.39/0.59 ; 278 (51%) were retained. Of these,
% 0.39/0.59 ; 17 ( 6%) were simplified or subsumed later,
% 0.39/0.59 ; 261 (94%) are still being kept.
% 0.39/0.59 ;
% 0.39/0.59 ; Run time in seconds excluding printing time:
% 0.39/0.59 ; 0.017 15% Read assertion file (1 call)
% 0.39/0.59 ; 0.003 3% Assert (93 calls)
% 0.39/0.59 ; 0.026 23% Process new row (448 calls)
% 0.39/0.59 ; 0.015 13% Resolution (196 calls)
% 0.39/0.59 ; 0.001 1% Paramodulation (98 calls)
% 0.39/0.59 ; 0.000 0% Factoring (3 calls)
% 0.39/0.59 ; 0.003 3% Condensing (167 calls)
% 0.39/0.59 ; 0.006 5% Forward subsumption (167 calls)
% 0.39/0.59 ; 0.002 2% Backward subsumption (154 calls)
% 0.39/0.59 ; 0.001 1% Clause clause subsumption (87 calls)
% 0.39/0.59 ; 0.005 4% Forward simplification (448 calls)
% 0.39/0.59 ; 0.003 3% Backward simplification (266 calls)
% 0.39/0.59 ; 0.001 1% Ordering (337 calls)
% 0.39/0.59 ; 0.000 0% Sortal reasoning (32 calls)
% 0.39/0.59 ; 0.000 0% Purity testing (1 call)
% 0.39/0.59 ; 0.030 27% Other
% 0.39/0.59 ; 0.113 Total
% 0.39/0.59 ; 0.114 Real time
% 0.39/0.59 ;
% 0.39/0.59 ; Term-hash-array has 741 terms in all.
% 0.39/0.59 ; Feature-vector-row-index has 154 entries (154 at peak, 154 added, 0 deleted).
% 0.39/0.59 ; Feature-vector-row-index has 1,065 nodes (1,065 at peak, 1,065 added, 0 deleted).
% 0.39/0.59 ; Retrieved 79 possibly forward subsuming rows in 167 calls.
% 0.39/0.59 ; Retrieved 20 possibly backward subsumed rows in 154 calls.
% 0.39/0.59 ; Path-index has 742 entries (742 at peak, 750 added, 8 deleted).
% 0.39/0.59 ; Path-index has 2,630 nodes (2,630 at peak, 2,637 added, 7 deleted).
% 0.39/0.59 ; Trie-index has 742 entries (742 at peak, 750 added, 8 deleted).
% 0.39/0.59 ; Trie-index has 2,535 nodes (2,535 at peak, 2,548 added, 13 deleted).
% 0.39/0.59 ; Retrieved 363 generalization terms in 1,312 calls.
% 0.39/0.59 ; Retrieved 133 instance terms in 111 calls.
% 0.39/0.59 ; Retrieved 7,805 unifiable terms in 856 calls.
% 0.39/0.59 ;
% 0.39/0.59 ; The agenda of rows to process has 39 entries:
% 0.39/0.59 ; 1 with value 8 4 with value 12 6 with value 15
% 0.39/0.59 ; 1 with value 9 8 with value 13 3 with value 18
% 0.39/0.59 ; 6 with value 10 8 with value 14 1 with value 23
% 0.39/0.59 ; 1 with value 11
% 0.39/0.59 ; The agenda of rows to give has 163 entries:
% 0.39/0.59 ; 3 with value (4 7) 11 with value (4 19) 2 with value (4 34)
% 0.39/0.59 ; 8 with value (4 8) 3 with value (4 20) 2 with value (4 37)
% 0.39/0.59 ; 7 with value (4 9) 3 with value (4 21) 1 with value (4 43)
% 0.39/0.59 ; 11 with value (4 10) 3 with value (4 22) 1 with value (4 44)
% 0.39/0.59 ; 11 with value (4 11) 4 with value (4 23) 1 with value (4 45)
% 0.39/0.59 ; 9 with value (4 12) 5 with value (4 24) 3 with value (4 46)
% 0.39/0.59 ; 14 with value (4 13) 4 with value (4 26) 1 with value (4 49)
% 0.39/0.59 ; 8 with value (4 14) 3 with value (4 29) 1 with value (4 51)
% 0.39/0.59 ; 10 with value (4 15) 3 with value (4 30) 1 with value (4 53)
% 0.39/0.59 ; 7 with value (4 16) 1 with value (4 31) 1 with value (4 59)
% 0.39/0.59 ; 7 with value (4 17) 1 with value (4 32) 1 with value (4 63)
% 0.39/0.59 ; 9 with value (4 18) 3 with value (4 33)
% 0.39/0.59 Evaluation took:
% 0.39/0.59 0.114 seconds of real time
% 0.39/0.59 0.107029 seconds of user run time
% 0.39/0.59 0.007549 seconds of system run time
% 0.39/0.59 0 calls to %EVAL
% 0.39/0.59 0 page faults and
% 0.39/0.59 6,252,680 bytes consed.
% 0.39/0.59 :PROOF-FOUND
% 0.39/0.59 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T15:25:37
% 0.39/0.59 :PROOF-FOUND
% 0.39/0.59 *
%------------------------------------------------------------------------------