TSTP Solution File: SET081-7 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET081-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n009.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 0.40s 0.58s
% Output : Refutation 0.40s
% 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(275,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
% 0.03/0.12 % Problem : SET081-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n009.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 : Sat Jul 9 19:11:07 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.18/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.46 *
% 0.18/0.46 *
% 0.18/0.46 #<PACKAGE "SNARK-USER">
% 0.18/0.46 *
% 0.18/0.46 SNARK-TPTP-OPTIONS
% 0.18/0.46 *
% 0.18/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46 (USE-FACTORING :POS)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46 *
% 0.18/0.46 "."
% 0.18/0.46 *
% 0.18/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-09T19:11:07
% 0.18/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n009.cluster.edu at 2022-07-09T19:11:07
% 0.18/0.50
% 0.18/0.50 ; Recognized commutativity assertion (= (|unordered_pair| ?X ?Y) (|unordered_pair| ?Y ?X)).
% 0.40/0.58 ; Declaring unordered_pair to be commutative.
% 0.40/0.58
% 0.40/0.58 #||
% 0.40/0.58 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.40/0.58 % SZS output start Refutation
% See solution above
% 0.40/0.58 ||#
% 0.40/0.58
% 0.40/0.58 ; Summary of computation:
% 0.40/0.58 ; 543 formulas have been input or derived (from 80 formulas).
% 0.40/0.58 ; 275 (51%) were retained. Of these,
% 0.40/0.58 ; 14 ( 5%) were simplified or subsumed later,
% 0.40/0.58 ; 261 (95%) are still being kept.
% 0.40/0.58 ;
% 0.40/0.58 ; Run time in seconds:
% 0.40/0.58 ; 0.021 19% Read assertion file (1 call)
% 0.40/0.58 ; 0.005 4% Assert (126 calls)
% 0.40/0.58 ; 0.021 19% Process new row (472 calls)
% 0.40/0.58 ; 0.013 12% Resolution (158 calls)
% 0.40/0.58 ; 0.002 2% Paramodulation (79 calls)
% 0.40/0.58 ; 0.000 0% Factoring (5 calls)
% 0.40/0.58 ; 0.002 2% Condensing (187 calls)
% 0.40/0.58 ; 0.008 7% Forward subsumption (187 calls)
% 0.40/0.58 ; 0.005 4% Backward subsumption (160 calls)
% 0.40/0.58 ; 0.001 1% Clause clause subsumption (128 calls)
% 0.40/0.58 ; 0.009 8% Forward simplification (471 calls)
% 0.40/0.58 ; 0.000 0% Backward simplification (263 calls)
% 0.40/0.58 ; 0.000 0% Ordering (237 calls)
% 0.40/0.58 ; 0.000 0% Sortal reasoning (32 calls)
% 0.40/0.58 ; 0.000 0% Purity testing (1 call)
% 0.40/0.58 ; 0.025 22% Other
% 0.40/0.58 ; 0.112 Total
% 0.40/0.58 ; 0.113 Real time
% 0.40/0.58 ;
% 0.40/0.58 ; Term-hash-array has 555 terms in all.
% 0.40/0.58 ; Feature-vector-row-index has 160 entries (160 at peak, 160 added, 0 deleted).
% 0.40/0.58 ; Feature-vector-row-index has 820 nodes (820 at peak, 820 added, 0 deleted).
% 0.40/0.58 ; Retrieved 129 possibly forward subsuming rows in 187 calls.
% 0.40/0.58 ; Retrieved 19 possibly backward subsumed rows in 160 calls.
% 0.40/0.58 ; Path-index has 562 entries (562 at peak, 565 added, 3 deleted).
% 0.40/0.58 ; Path-index has 1,500 nodes (1,500 at peak, 1,503 added, 3 deleted).
% 0.40/0.58 ; Trie-index has 562 entries (562 at peak, 565 added, 3 deleted).
% 0.40/0.58 ; Trie-index has 1,567 nodes (1,567 at peak, 1,574 added, 7 deleted).
% 0.40/0.58 ; Retrieved 346 generalization terms in 961 calls.
% 0.40/0.58 ; Retrieved 122 instance terms in 102 calls.
% 0.40/0.58 ; Retrieved 4,904 unifiable terms in 632 calls.
% 0.40/0.58 ;
% 0.40/0.58 ; The agenda of rows to process has 6 entries:
% 0.40/0.58 ; 2 with value 8 1 with value 15 1 with value 28
% 0.40/0.58 ; 1 with value 14 1 with value 26
% 0.40/0.58 ; The agenda of input rows to give has 39 entries:
% 0.40/0.58 ; 7 with value 15 4 with value 20 1 with value 31
% 0.40/0.58 ; 5 with value 16 3 with value 21 1 with value 34
% 0.40/0.58 ; 3 with value 17 4 with value 22 2 with value 35
% 0.40/0.58 ; 4 with value 18 1 with value 27 1 with value 50
% 0.40/0.58 ; 1 with value 19 2 with value 30
% 0.40/0.58 ; The agenda of rows to give has 143 entries:
% 0.40/0.58 ; 2 with value (4 4) 7 with value (4 12) 7 with value (4 18)
% 0.40/0.58 ; 3 with value (4 5) 6 with value (4 13) 9 with value (4 19)
% 0.40/0.58 ; 13 with value (4 7) 10 with value (4 14) 11 with value (4 20)
% 0.40/0.58 ; 14 with value (4 8) 12 with value (4 15) 4 with value (4 22)
% 0.40/0.58 ; 8 with value (4 9) 8 with value (4 16) 3 with value (4 24)
% 0.40/0.58 ; 11 with value (4 10) 7 with value (4 17) 2 with value (4 30)
% 0.40/0.58 ; 6 with value (4 11)
% 0.40/0.58 Evaluation took:
% 0.40/0.58 0.115 seconds of real time
% 0.40/0.58 0.095591 seconds of user run time
% 0.40/0.58 0.018986 seconds of system run time
% 0.40/0.58 0 calls to %EVAL
% 0.40/0.58 0 page faults and
% 0.40/0.58 5,425,056 bytes consed.
% 0.40/0.58 :PROOF-FOUND
% 0.40/0.58 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-09T19:11:07
% 0.40/0.58 :PROOF-FOUND
% 0.40/0.58 *
%------------------------------------------------------------------------------