%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : REL046-1 : TPTP v8.1.0. Released v4.0.0.
% 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 : Mon Jul 18 20:00:06 EDT 2022
% Result : Unsatisfiable 0.41s 0.61s
% Output : Refutation 0.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of clauses : 10 ( 9 unt; 0 nHn; 6 RR)
% Number of literals : 11 ( 10 equ; 3 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 8 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(maddux3_a_kind_of_de_Morgan_3,axiom,
X = join(complement(join(complement(X),complement(Y))),complement(join(complement(X),Y))),
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',maddux3_a_kind_of_de_Morgan_3) ).
cnf(2,plain,
join(complement(join(complement(X),complement(Y))),join(complement(join(complement(X),Y)),Z)) = join(X,Z),
inference('EMBED',[status(thm)],[maddux3_a_kind_of_de_Morgan_3]) ).
cnf(maddux4_definiton_of_meet_4,axiom,
meet(X,Y) = complement(join(complement(X),complement(Y))),
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',maddux4_definiton_of_meet_4) ).
cnf(goals_14,negated_conjecture,
join(sk1,meet(sk2,sk3)) = meet(sk2,sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_14) ).
cnf(19,plain,
join(sk1,complement(join(complement(sk2),complement(sk3)))) = complement(join(complement(sk2),complement(sk3))),
inference('REWRITE',[status(thm)],[goals_14,maddux4_definiton_of_meet_4,theory(equality)]) ).
cnf(20,plain,
join(sk1,join(complement(join(complement(sk2),complement(sk3))),X)) = join(complement(join(complement(sk2),complement(sk3))),X),
inference('EMBED',[status(thm)],[19]) ).
cnf(goals_15,negated_conjecture,
( join(sk1,sk2) != sk2
| join(sk1,sk3) != sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_15) ).
cnf(121,plain,
join(sk1,sk2) = sk2,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2,20,theory(equality)]),maddux3_a_kind_of_de_Morgan_3,theory(equality)]) ).
cnf(123,plain,
join(sk1,sk3) != sk3,
inference('REWRITE',[status(thm)],[goals_15,121,theory(equality)]) ).
cnf(124,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2,20,theory(equality)]),123,maddux3_a_kind_of_de_Morgan_3,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : REL046-1 : TPTP v8.1.0. Released v4.0.0.
% 0.13/0.14 % Command : run-snark %s %d
% 0.13/0.35 % Computer : n005.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 : Fri Jul 8 12:26:52 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.47 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.48 *
% 0.20/0.48 *
% 0.20/0.49 #<PACKAGE "SNARK-USER">
% 0.20/0.49 *
% 0.20/0.49 SNARK-TPTP-OPTIONS
% 0.20/0.49 *
% 0.20/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.49 (USE-FACTORING :POS)
% 0.20/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.49 *
% 0.20/0.49 "."
% 0.20/0.49 *
% 0.20/0.49 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-08T12:26:52
% 0.20/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n005.cluster.edu at 2022-07-08T12:26:52
% 0.20/0.50
% 0.20/0.50 ; Recognized commutativity assertion (= (|join| ?X ?Y) (|join| ?Y ?X)).
% 0.20/0.50 ; Recognized associativity assertion (= (|join| ?X (|join| ?Y ?Z)) (|join| (|join| ?X ?Y) ?Z)).
% 0.20/0.50 ; Recognized associativity assertion (= (|composition| ?X (|composition| ?Y ?Z)) (|composition| (|composition| ?X ?Y) ?Z)).
% 0.20/0.50 ; Recognized right identity assertion (= (|composition| ?X |one|) ?X).
% 0.20/0.50 ; Recognized possible right inverse assertion (= |top| (|join| ?X (|complement| ?X))).
% 0.20/0.50 ; Recognized possible right inverse assertion (= |zero| (|meet| ?X (|complement| ?X))).
% 0.20/0.50 ; Declaring join to be commutative.
% 0.41/0.61 ; Declaring join to be associative-commutative.
% 0.41/0.61
% 0.41/0.61 #||
% 0.41/0.61 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.41/0.61 % SZS output start Refutation
% See solution above
% 0.41/0.61 ||#
% 0.41/0.61
% 0.41/0.61 ; Summary of computation:
% 0.41/0.61 ; 253 formulas have been input or derived (from 20 formulas).
% 0.41/0.61 ; 124 (49%) were retained. Of these,
% 0.41/0.61 ; 19 (15%) were simplified or subsumed later,
% 0.41/0.61 ; 105 (85%) are still being kept.
% 0.41/0.61 ;
% 0.41/0.61 ; Run time in seconds excluding printing time:
% 0.41/0.61 ; 0.003 3% Read assertion file (1 call)
% 0.41/0.61 ; 0.001 1% Assert (15 calls)
% 0.41/0.61 ; 0.019 16% Process new row (230 calls)
% 0.41/0.61 ; 0.001 1% Resolution (38 calls)
% 0.41/0.61 ; 0.010 8% Paramodulation (19 calls)
% 0.41/0.61 ; 0.000 0% Embedding (51 calls)
% 0.41/0.61 ; 0.000 0% Condensing (1 call)
% 0.41/0.61 ; 0.000 0% Forward subsumption (1 call)
% 0.41/0.61 ; 0.001 1% Backward subsumption (1 call)
% 0.41/0.61 ; 0.023 19% Forward simplification (179 calls)
% 0.41/0.61 ; 0.007 6% Backward simplification (71 calls)
% 0.41/0.61 ; 0.004 3% Ordering (647 calls)
% 0.41/0.61 ; 0.025 21% Ordering ac (314 calls)
% 0.41/0.61 ; 0.001 1% Sortal reasoning (32 calls)
% 0.41/0.61 ; 0.000 0% Purity testing (1 call)
% 0.41/0.61 ; 0.023 19% Other
% 0.41/0.61 ; 0.118 Total
% 0.41/0.61 ; 0.120 Real time
% 0.41/0.61 ;
% 0.41/0.61 ; Term-hash-array has 437 terms in all.
% 0.41/0.61 ; Feature-vector-row-index has 0 entries (1 at peak, 1 added, 1 deleted).
% 0.41/0.61 ; Feature-vector-row-index has 1 node (14 at peak, 14 added, 13 deleted).
% 0.41/0.61 ; Retrieved 0 possibly forward subsuming rows in 1 call.
% 0.41/0.61 ; Retrieved 0 possibly backward subsumed rows in 1 call.
% 0.41/0.61 ; Path-index has 397 entries (397 at peak, 446 added, 49 deleted).
% 0.41/0.61 ; Path-index has 615 nodes (615 at peak, 623 added, 8 deleted).
% 0.41/0.61 ; Trie-index has 397 entries (397 at peak, 446 added, 49 deleted).
% 0.41/0.61 ; Trie-index has 303 nodes (303 at peak, 307 added, 4 deleted).
% 0.41/0.61 ; Retrieved 12,604 generalization terms in 1,569 calls.
% 0.41/0.61 ; Retrieved 258 instance terms in 93 calls.
% 0.41/0.61 ; Retrieved 1,055 unifiable terms in 111 calls.
% 0.41/0.61 ;
% 0.41/0.61 ; The agenda of rows to process has 18 entries:
% 0.41/0.61 ; 1 with value 22 2 with value 28 3 with value 35
% 0.41/0.61 ; 1 with value 24 2 with value 30 3 with value 36
% 0.41/0.61 ; 3 with value 25 1 with value 32 1 with value 40
% 0.41/0.61 ; 1 with value 26
% 0.41/0.61 ; The agenda of input rows to give has 1 entry:
% 0.41/0.61 ; 1 with value 7
% 0.41/0.61 ; The agenda of rows to give has 85 entries:
% 0.41/0.61 ; 4 with value (4 8) 4 with value (4 18) 6 with value (4 28)
% 0.41/0.61 ; 1 with value (4 9) 4 with value (4 19) 4 with value (4 29)
% 0.41/0.61 ; 2 with value (4 12) 7 with value (4 20) 2 with value (4 30)
% 0.41/0.61 ; 1 with value (4 13) 4 with value (4 21) 4 with value (4 31)
% 0.41/0.61 ; 2 with value (4 14) 10 with value (4 22) 2 with value (4 32)
% 0.41/0.61 ; 6 with value (4 15) 4 with value (4 23) 2 with value (4 36)
% 0.41/0.61 ; 2 with value (4 16) 2 with value (4 24) 2 with value (4 37)
% 0.41/0.61 ; 4 with value (4 17) 6 with value (4 26)
% 0.41/0.61 Evaluation took:
% 0.41/0.61 0.121 seconds of real time
% 0.41/0.61 0.103959 seconds of user run time
% 0.41/0.61 0.016423 seconds of system run time
% 0.41/0.61 0 calls to %EVAL
% 0.41/0.61 0 page faults and
% 0.41/0.61 5,613,904 bytes consed.
% 0.41/0.61 :PROOF-FOUND
% 0.41/0.61 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-08T12:26:52
% 0.41/0.61 :PROOF-FOUND
% 0.41/0.61 *
%------------------------------------------------------------------------------