TSTP Solution File: SET081-6 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET081-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n011.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 05:07:02 EDT 2022
% Result : Unsatisfiable 0.19s 0.56s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 1
% Number of leaves : 4
% Syntax : Number of clauses : 5 ( 4 unt; 1 nHn; 4 RR)
% Number of literals : 7 ( 4 equ; 2 neg)
% Maximal clause size : 3 ( 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 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
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(prove_only_member_in_singleton_1,negated_conjecture,
member(y,singleton(x)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_only_member_in_singleton_1) ).
cnf(prove_only_member_in_singleton_2,negated_conjecture,
y != x,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_only_member_in_singleton_2) ).
cnf(169,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[unordered_pair_member,prove_only_member_in_singleton_2,prove_only_member_in_singleton_2]),prove_only_member_in_singleton_1,singleton_set,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET081-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n011.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 : Mon Jul 11 09:40:27 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 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/sandbox/benchmark/theBenchmark.p 2022-07-11T09:40:27
% 0.19/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n011.cluster.edu at 2022-07-11T09:40:27
% 0.19/0.56
% 0.19/0.56
% 0.19/0.56 #||
% 0.19/0.56 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.56 % SZS output start Refutation
% See solution above
% 0.19/0.56 ||#
% 0.19/0.56
% 0.19/0.56 ; Summary of computation:
% 0.19/0.56 ; 263 formulas have been input or derived (from 63 formulas).
% 0.19/0.56 ; 169 (64%) were retained. Of these,
% 0.19/0.56 ; 13 ( 8%) were simplified or subsumed later,
% 0.19/0.56 ; 156 (92%) are still being kept.
% 0.19/0.56 ;
% 0.19/0.56 ; Run time in seconds excluding printing time:
% 0.19/0.56 ; 0.017 21% Read assertion file (1 call)
% 0.19/0.56 ; 0.003 4% Assert (93 calls)
% 0.19/0.56 ; 0.014 17% Process new row (230 calls)
% 0.19/0.56 ; 0.009 11% Resolution (124 calls)
% 0.19/0.56 ; 0.000 0% Paramodulation (62 calls)
% 0.19/0.56 ; 0.000 0% Factoring (3 calls)
% 0.19/0.56 ; 0.001 1% Condensing (109 calls)
% 0.19/0.56 ; 0.004 5% Forward subsumption (109 calls)
% 0.19/0.56 ; 0.001 1% Backward subsumption (98 calls)
% 0.19/0.56 ; 0.001 1% Clause clause subsumption (56 calls)
% 0.19/0.56 ; 0.006 7% Forward simplification (230 calls)
% 0.19/0.56 ; 0.002 2% Backward simplification (157 calls)
% 0.19/0.56 ; 0.000 0% Ordering (138 calls)
% 0.19/0.56 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.56 ; 0.000 0% Purity testing (1 call)
% 0.19/0.56 ; 0.023 28% Other
% 0.19/0.56 ; 0.081 Total
% 0.19/0.56 ; 0.083 Real time
% 0.19/0.56 ;
% 0.19/0.56 ; Term-hash-array has 389 terms in all.
% 0.19/0.56 ; Feature-vector-row-index has 98 entries (98 at peak, 98 added, 0 deleted).
% 0.19/0.56 ; Feature-vector-row-index has 489 nodes (489 at peak, 489 added, 0 deleted).
% 0.19/0.56 ; Retrieved 56 possibly forward subsuming rows in 109 calls.
% 0.19/0.56 ; Retrieved 9 possibly backward subsumed rows in 98 calls.
% 0.19/0.56 ; Path-index has 398 entries (398 at peak, 399 added, 1 deleted).
% 0.19/0.56 ; Path-index has 1,343 nodes (1,343 at peak, 1,344 added, 1 deleted).
% 0.19/0.56 ; Trie-index has 398 entries (398 at peak, 399 added, 1 deleted).
% 0.19/0.56 ; Trie-index has 1,181 nodes (1,181 at peak, 1,182 added, 1 deleted).
% 0.19/0.56 ; Retrieved 164 generalization terms in 555 calls.
% 0.19/0.56 ; Retrieved 76 instance terms in 58 calls.
% 0.19/0.56 ; Retrieved 2,123 unifiable terms in 379 calls.
% 0.19/0.56 ;
% 0.19/0.56 ; The agenda of rows to process has 3 entries:
% 0.19/0.56 ; 1 with value 8 1 with value 15 1 with value 26
% 0.19/0.56 ; The agenda of input rows to give has 30 entries:
% 0.19/0.56 ; 5 with value 15 4 with value 20 1 with value 31
% 0.19/0.56 ; 2 with value 16 3 with value 21 1 with value 34
% 0.19/0.56 ; 3 with value 17 3 with value 22 2 with value 35
% 0.19/0.56 ; 1 with value 18 1 with value 27 1 with value 50
% 0.19/0.56 ; 1 with value 19 2 with value 30
% 0.19/0.56 ; The agenda of rows to give has 63 entries:
% 0.19/0.56 ; 3 with value (4 5) 2 with value (4 12) 3 with value (4 18)
% 0.19/0.56 ; 4 with value (4 7) 7 with value (4 13) 5 with value (4 19)
% 0.19/0.56 ; 5 with value (4 8) 4 with value (4 14) 2 with value (4 20)
% 0.19/0.56 ; 3 with value (4 9) 7 with value (4 15) 1 with value (4 22)
% 0.19/0.56 ; 3 with value (4 10) 5 with value (4 16) 1 with value (4 24)
% 0.19/0.56 ; 4 with value (4 11) 2 with value (4 17) 2 with value (4 30)
% 0.19/0.56 Evaluation took:
% 0.19/0.56 0.084 seconds of real time
% 0.19/0.56 0.074179 seconds of user run time
% 0.19/0.56 0.009 seconds of system run time
% 0.19/0.56 0 calls to %EVAL
% 0.19/0.56 0 page faults and
% 0.19/0.56 3,926,408 bytes consed.
% 0.19/0.56 :PROOF-FOUND
% 0.19/0.56 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T09:40:27
% 0.19/0.56 :PROOF-FOUND
% 0.19/0.56 *
%------------------------------------------------------------------------------