TSTP Solution File: SET016-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET016-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n024.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 05:05:47 EDT 2022
% Result : Unsatisfiable 0.21s 0.52s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of clauses : 14 ( 10 unt; 3 nHn; 10 RR)
% Number of literals : 20 ( 11 equ; 5 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 15 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(singleton_1,axiom,
member(X,singleton_set(X)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singleton_1) ).
cnf(singleton_2,axiom,
( ~ member(X,singleton_set(Y))
| X = Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singleton_2) ).
cnf(unordered_pair_1,axiom,
member(X,unordered_pair(X,Y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair_1) ).
cnf(unordered_pair_3,axiom,
( ~ member(X,unordered_pair(Y,Z))
| X = Y
| X = Z ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair_3) ).
cnf(ordered_pair,axiom,
ordered_pair(X,Y) = unordered_pair(singleton_set(X),unordered_pair(X,Y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ordered_pair) ).
cnf(equal_ordered_pairs,hypothesis,
ordered_pair(m1,r1) = ordered_pair(m2,r2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_ordered_pairs) ).
cnf(prove_first_components_equal,negated_conjecture,
m1 != m2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_first_components_equal) ).
cnf(9,plain,
~ member(m1,singleton_set(m2)),
inference('UR-RESOLVE',[status(thm)],[singleton_2,prove_first_components_equal]) ).
cnf(11,plain,
member(singleton_set(X),ordered_pair(X,Y)),
inference('PARAMODULATE',[status(thm)],[unordered_pair_1,ordered_pair,theory(equality)]) ).
cnf(16,plain,
( ~ member(X,ordered_pair(Y,Z))
| X = singleton_set(Y)
| X = unordered_pair(Y,Z) ),
inference('PARAMODULATE',[status(thm)],[unordered_pair_3,ordered_pair,theory(equality)]) ).
cnf(17,plain,
member(singleton_set(m2),ordered_pair(m1,r1)),
inference('PARAMODULATE',[status(thm)],[11,equal_ordered_pairs,theory(equality)]) ).
cnf(28,plain,
( singleton_set(m2) = singleton_set(m1)
| singleton_set(m2) = unordered_pair(m1,r1) ),
inference('HYPERRESOLVE',[status(thm)],[16,17]) ).
cnf(31,plain,
singleton_set(m2) = singleton_set(m1),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[unordered_pair_1,28,theory(equality)]),9]) ).
cnf(32,plain,
$false,
inference('REWRITE',[status(thm)],[9,singleton_1,31,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET016-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.13/0.35 % Computer : n024.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sun Jul 10 16:46:58 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.47 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.48 *
% 0.21/0.48 *
% 0.21/0.48 #<PACKAGE "SNARK-USER">
% 0.21/0.48 *
% 0.21/0.48 SNARK-TPTP-OPTIONS
% 0.21/0.48 *
% 0.21/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.48 (USE-FACTORING :POS)
% 0.21/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.48 *
% 0.21/0.48 "."
% 0.21/0.48 *
% 0.21/0.48 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T16:46:58
% 0.21/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n024.cluster.edu at 2022-07-10T16:46:58
% 0.21/0.52
% 0.21/0.52
% 0.21/0.52 #||
% 0.21/0.52 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.52 % SZS output start Refutation
% See solution above
% 0.21/0.52 ||#
% 0.21/0.52
% 0.21/0.52 ; Summary of computation:
% 0.21/0.52 ; 71 formulas have been input or derived (from 23 formulas).
% 0.21/0.52 ; 32 (45%) were retained. Of these,
% 0.21/0.52 ; 9 (28%) were simplified or subsumed later,
% 0.21/0.52 ; 23 (72%) are still being kept.
% 0.21/0.52 ;
% 0.21/0.52 ; Run time in seconds excluding printing time:
% 0.21/0.52 ; 0.002 6% Read assertion file (1 call)
% 0.21/0.52 ; 0.000 0% Assert (8 calls)
% 0.21/0.52 ; 0.004 12% Process new row (55 calls)
% 0.21/0.52 ; 0.001 3% Resolution (44 calls)
% 0.21/0.52 ; 0.001 3% Paramodulation (22 calls)
% 0.21/0.52 ; 0.000 0% Factoring (1 call)
% 0.21/0.52 ; 0.000 0% Condensing (8 calls)
% 0.21/0.52 ; 0.002 6% Forward subsumption (8 calls)
% 0.21/0.52 ; 0.000 0% Backward subsumption (8 calls)
% 0.21/0.52 ; 0.000 0% Clause clause subsumption (2 calls)
% 0.21/0.52 ; 0.000 0% Forward simplification (55 calls)
% 0.21/0.52 ; 0.002 6% Backward simplification (32 calls)
% 0.21/0.52 ; 0.000 0% Ordering (56 calls)
% 0.21/0.52 ; 0.000 0% Sortal reasoning (32 calls)
% 0.21/0.52 ; 0.000 0% Purity testing (1 call)
% 0.21/0.52 ; 0.022 65% Other
% 0.21/0.52 ; 0.034 Total
% 0.21/0.52 ; 0.036 Real time
% 0.21/0.52 ;
% 0.21/0.52 ; Term-hash-array has 72 terms in all.
% 0.21/0.52 ; Feature-vector-row-index has 5 entries (8 at peak, 8 added, 3 deleted).
% 0.21/0.52 ; Feature-vector-row-index has 34 nodes (72 at peak, 72 added, 38 deleted).
% 0.21/0.52 ; Retrieved 2 possibly forward subsuming rows in 8 calls.
% 0.21/0.52 ; Retrieved 0 possibly backward subsumed rows in 8 calls.
% 0.21/0.52 ; Path-index has 57 entries (76 at peak, 76 added, 19 deleted).
% 0.21/0.52 ; Path-index has 195 nodes (237 at peak, 237 added, 42 deleted).
% 0.21/0.52 ; Trie-index has 57 entries (76 at peak, 76 added, 19 deleted).
% 0.21/0.52 ; Trie-index has 188 nodes (275 at peak, 275 added, 87 deleted).
% 0.21/0.52 ; Retrieved 31 generalization terms in 131 calls.
% 0.21/0.52 ; Retrieved 24 instance terms in 23 calls.
% 0.21/0.52 ; Retrieved 116 unifiable terms in 154 calls.
% 0.21/0.52 ;
% 0.21/0.52 ; The agenda of backward simplifiable rows to process has 8 entries:
% 0.21/0.52 ; 8 with value 0
% 0.21/0.52 ; The agenda of rows to process has 6 entries:
% 0.21/0.52 ; 1 with value 17 1 with value 19 1 with value 25
% 0.21/0.52 ; 1 with value 18 2 with value 23
% 0.21/0.52 ; The agenda of rows to give has 5 entries:
% 0.21/0.52 ; 1 with value (4 11) 1 with value (4 21) 1 with value (4 28)
% 0.21/0.52 ; 1 with value (4 20) 1 with value (4 27)
% 0.21/0.52 Evaluation took:
% 0.21/0.52 0.036 seconds of real time
% 0.21/0.52 0.03194 seconds of user run time
% 0.21/0.52 0.004156 seconds of system run time
% 0.21/0.52 0 calls to %EVAL
% 0.21/0.52 0 page faults and
% 0.21/0.52 2,382,384 bytes consed.
% 0.21/0.52 :PROOF-FOUND
% 0.21/0.52 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T16:46:58
% 0.21/0.52 :PROOF-FOUND
% 0.21/0.52 *
%------------------------------------------------------------------------------