TSTP Solution File: SET027-6 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET027-6 : 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 05:06:08 EDT 2022
% Result : Unsatisfiable 0.44s 0.61s
% Output : Refutation 0.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 6
% Syntax : Number of clauses : 10 ( 7 unt; 1 nHn; 9 RR)
% Number of literals : 14 ( 0 equ; 5 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 7 ( 0 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(not_subclass_members1,axiom,
( member(not_subclass_element(X,Y),X)
| subclass(X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',not_subclass_members1) ).
cnf(not_subclass_members2,axiom,
( ~ member(not_subclass_element(X,Y),Y)
| subclass(X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',not_subclass_members2) ).
cnf(prove_transitivity_of_subclass_1,negated_conjecture,
subclass(x,y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_transitivity_of_subclass_1) ).
cnf(prove_transitivity_of_subclass_2,negated_conjecture,
subclass(y,z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_transitivity_of_subclass_2) ).
cnf(prove_transitivity_of_subclass_3,negated_conjecture,
~ subclass(x,z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_transitivity_of_subclass_3) ).
cnf(121,plain,
member(not_subclass_element(x,z),x),
inference('HYPERRESOLVE',[status(thm)],[prove_transitivity_of_subclass_3,not_subclass_members1]) ).
cnf(122,plain,
~ member(not_subclass_element(x,z),z),
inference('UR-RESOLVE',[status(thm)],[not_subclass_members2,prove_transitivity_of_subclass_3]) ).
cnf(357,plain,
member(not_subclass_element(x,z),y),
inference('HYPERRESOLVE',[status(thm)],[subclass_members,121,prove_transitivity_of_subclass_1]) ).
cnf(379,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[subclass_members,122,prove_transitivity_of_subclass_2]),357]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET027-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.13 % 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 02:20:52 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 0.20/0.48 #<PACKAGE "SNARK-USER">
% 0.20/0.48 *
% 0.20/0.48 SNARK-TPTP-OPTIONS
% 0.20/0.48 *
% 0.20/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48 (USE-FACTORING :POS)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48 *
% 0.20/0.48 "."
% 0.20/0.48 *
% 0.20/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T02:20:52
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n005.cluster.edu at 2022-07-10T02:20:52
% 0.44/0.61
% 0.44/0.61
% 0.44/0.61 #||
% 0.44/0.61 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.44/0.61 % SZS output start Refutation
% See solution above
% 0.44/0.61 ||#
% 0.44/0.61
% 0.44/0.61 ; Summary of computation:
% 0.44/0.61 ; 696 formulas have been input or derived (from 107 formulas).
% 0.44/0.61 ; 379 (54%) were retained. Of these,
% 0.44/0.61 ; 13 ( 3%) were simplified or subsumed later,
% 0.44/0.61 ; 366 (97%) are still being kept.
% 0.44/0.61 ;
% 0.44/0.61 ; Run time in seconds excluding printing time:
% 0.44/0.61 ; 0.017 13% Read assertion file (1 call)
% 0.44/0.61 ; 0.003 2% Assert (94 calls)
% 0.44/0.61 ; 0.029 23% Process new row (620 calls)
% 0.44/0.61 ; 0.016 13% Resolution (212 calls)
% 0.44/0.61 ; 0.005 4% Paramodulation (106 calls)
% 0.44/0.61 ; 0.000 0% Factoring (3 calls)
% 0.44/0.61 ; 0.003 2% Condensing (196 calls)
% 0.44/0.61 ; 0.007 6% Forward subsumption (196 calls)
% 0.44/0.61 ; 0.003 2% Backward subsumption (181 calls)
% 0.44/0.61 ; 0.000 0% Clause clause subsumption (99 calls)
% 0.44/0.61 ; 0.010 8% Forward simplification (620 calls)
% 0.44/0.61 ; 0.003 2% Backward simplification (367 calls)
% 0.44/0.61 ; 0.001 1% Ordering (365 calls)
% 0.44/0.61 ; 0.000 0% Sortal reasoning (32 calls)
% 0.44/0.61 ; 0.000 0% Purity testing (1 call)
% 0.44/0.61 ; 0.029 23% Other
% 0.44/0.61 ; 0.126 Total
% 0.44/0.61 ; 0.127 Real time
% 0.44/0.61 ;
% 0.44/0.61 ; Term-hash-array has 934 terms in all.
% 0.44/0.61 ; Feature-vector-row-index has 181 entries (181 at peak, 181 added, 0 deleted).
% 0.44/0.61 ; Feature-vector-row-index has 1,194 nodes (1,194 at peak, 1,194 added, 0 deleted).
% 0.44/0.61 ; Retrieved 89 possibly forward subsuming rows in 196 calls.
% 0.44/0.61 ; Retrieved 27 possibly backward subsumed rows in 181 calls.
% 0.44/0.61 ; Path-index has 944 entries (944 at peak, 945 added, 1 deleted).
% 0.44/0.61 ; Path-index has 2,794 nodes (2,794 at peak, 2,795 added, 1 deleted).
% 0.44/0.61 ; Trie-index has 944 entries (944 at peak, 945 added, 1 deleted).
% 0.44/0.61 ; Trie-index has 3,101 nodes (3,101 at peak, 3,102 added, 1 deleted).
% 0.44/0.61 ; Retrieved 449 generalization terms in 1,588 calls.
% 0.44/0.61 ; Retrieved 206 instance terms in 185 calls.
% 0.44/0.61 ; Retrieved 11,555 unifiable terms in 1,095 calls.
% 0.44/0.61 ;
% 0.44/0.61 ; The agenda of rows to process has 6 entries:
% 0.44/0.61 ; 1 with value 9 1 with value 12 2 with value 14
% 0.44/0.61 ; 2 with value 11
% 0.44/0.61 ; The agenda of rows to give has 259 entries:
% 0.44/0.61 ; 9 with value (4 8) 3 with value (4 20) 2 with value (4 34)
% 0.44/0.61 ; 11 with value (4 9) 4 with value (4 21) 2 with value (4 37)
% 0.44/0.61 ; 22 with value (4 10) 3 with value (4 22) 1 with value (4 43)
% 0.44/0.61 ; 17 with value (4 11) 7 with value (4 23) 1 with value (4 44)
% 0.44/0.61 ; 17 with value (4 12) 5 with value (4 24) 1 with value (4 45)
% 0.44/0.61 ; 27 with value (4 13) 4 with value (4 26) 3 with value (4 46)
% 0.44/0.61 ; 28 with value (4 14) 3 with value (4 29) 1 with value (4 49)
% 0.44/0.61 ; 29 with value (4 15) 3 with value (4 30) 1 with value (4 51)
% 0.44/0.61 ; 11 with value (4 16) 1 with value (4 31) 1 with value (4 53)
% 0.44/0.61 ; 5 with value (4 17) 1 with value (4 32) 1 with value (4 59)
% 0.44/0.61 ; 18 with value (4 18) 2 with value (4 33) 1 with value (4 63)
% 0.46/0.61 ; 14 with value (4 19)
% 0.46/0.61 Evaluation took:
% 0.46/0.61 0.128 seconds of real time
% 0.46/0.61 0.116886 seconds of user run time
% 0.46/0.61 0.010988 seconds of system run time
% 0.46/0.61 0 calls to %EVAL
% 0.46/0.61 0 page faults and
% 0.46/0.61 7,378,056 bytes consed.
% 0.46/0.61 :PROOF-FOUND
% 0.46/0.61 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T02:20:52
% 0.46/0.61 :PROOF-FOUND
% 0.46/0.61 *
%------------------------------------------------------------------------------