%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LAT027-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n019.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 : Sun Jul 17 06:41:54 EDT 2022
% Result : Unsatisfiable 0.53s 0.72s
% Output : Refutation 0.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of clauses : 10 ( 10 unt; 0 nHn; 2 RR)
% Number of literals : 10 ( 9 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 21 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(idempotence_of_join,axiom,
join(X,X) = X,
file('/export/starexec/sandbox/benchmark/Axioms/LAT005-0.ax',idempotence_of_join) ).
cnf(wal_2,axiom,
join(join(meet(X,Y),meet(Z,Y)),Y) = Y,
file('/export/starexec/sandbox/benchmark/Axioms/LAT005-0.ax',wal_2) ).
cnf(absorption,hypothesis,
meet(X,join(Y,join(X,Z))) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',absorption) ).
cnf(prove_associativity_of_join,negated_conjecture,
join(join(a,b),c) != join(a,join(b,c)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_associativity_of_join) ).
cnf(7,plain,
meet(X,join(X,Y)) = X,
inference('PARAMODULATE',[status(thm)],[absorption,idempotence_of_join,theory(equality)]) ).
cnf(14,plain,
join(join(X,meet(Y,join(X,Z))),join(X,Z)) = join(X,Z),
inference('PARAMODULATE',[status(thm)],[wal_2,7,theory(equality)]) ).
cnf(108,plain,
join(join(X,Y),join(X,join(Z,Y))) = join(X,join(Z,Y)),
inference('PARAMODULATE',[status(thm)],[14,absorption,theory(equality)]) ).
cnf(266,plain,
join(join(X,Y),join(Z,Y)) = join(Z,join(X,Y)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[108,108,theory(equality)]),108,theory(equality)]) ).
cnf(280,plain,
join(X,join(Z,Y)) = join(Y,join(X,Z)),
inference('PARAMODULATE',[status(thm)],[266,266,theory(equality)]) ).
cnf(281,plain,
$false,
inference('REWRITE',[status(thm)],[prove_associativity_of_join,280,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : LAT027-1 : TPTP v8.1.0. Released v2.2.0.
% 0.06/0.12 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n019.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Wed Jun 29 04:01:39 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 *
% 0.19/0.45 *
% 0.19/0.45 #<PACKAGE "SNARK-USER">
% 0.19/0.45 *
% 0.19/0.45 SNARK-TPTP-OPTIONS
% 0.19/0.45 *
% 0.19/0.45 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.45 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.45 (USE-FACTORING :POS)
% 0.19/0.45 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.45 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.45 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.45 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.45 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.45 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.45 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.45 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.45 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.45 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.45 *
% 0.19/0.45 "."
% 0.19/0.45 *
% 0.19/0.45 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-29T04:01:39
% 0.19/0.45 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n019.cluster.edu at 2022-06-29T04:01:39
% 0.19/0.47
% 0.19/0.47 ; Recognized commutativity assertion (= (|meet| ?X ?Y) (|meet| ?Y ?X)).
% 0.19/0.47 ; Recognized commutativity assertion (= (|join| ?X ?Y) (|join| ?Y ?X)).
% 0.19/0.47 ; Declaring meet to be commutative.
% 0.53/0.72 ; Declaring join to be commutative.
% 0.53/0.72
% 0.53/0.72 #||
% 0.53/0.72 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.53/0.72 % SZS output start Refutation
% See solution above
% 0.53/0.72 ||#
% 0.53/0.72
% 0.53/0.72 ; Summary of computation:
% 0.53/0.72 ; 2178 formulas have been input or derived (from 32 formulas).
% 0.53/0.72 ; 281 (13%) were retained. Of these,
% 0.53/0.72 ; 86 (31%) were simplified or subsumed later,
% 0.53/0.72 ; 195 (69%) are still being kept.
% 0.53/0.72 ;
% 0.53/0.72 ; Run time in seconds:
% 0.53/0.72 ; 0.002 1% Read assertion file (1 call)
% 0.53/0.72 ; 0.000 0% Assert (8 calls)
% 0.53/0.72 ; 0.028 10% Process new row (1,713 calls)
% 0.53/0.72 ; 0.001 0% Resolution (62 calls)
% 0.53/0.72 ; 0.034 13% Paramodulation (31 calls)
% 0.53/0.72 ; 0.134 50% Forward simplification (1,631 calls)
% 0.53/0.73 ; 0.031 11% Backward simplification (281 calls)
% 0.53/0.73 ; 0.011 4% Ordering (1,922 calls)
% 0.53/0.73 ; 0.000 0% Sortal reasoning (32 calls)
% 0.53/0.73 ; 0.000 0% Purity testing (1 call)
% 0.53/0.73 ; 0.029 11% Other
% 0.53/0.73 ; 0.270 Total
% 0.53/0.73 ; 0.272 Real time
% 0.53/0.73 ;
% 0.53/0.73 ; Term-hash-array has 1,015 terms in all.
% 0.53/0.73 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.53/0.73 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.53/0.73 ; Path-index has 740 entries (960 at peak, 1,020 added, 280 deleted).
% 0.53/0.73 ; Path-index has 386 nodes (429 at peak, 431 added, 45 deleted).
% 0.53/0.73 ; Trie-index has 740 entries (960 at peak, 1,020 added, 280 deleted).
% 0.53/0.73 ; Trie-index has 4,273 nodes (5,872 at peak, 6,203 added, 1,930 deleted).
% 0.53/0.73 ; Retrieved 16,773 generalization terms in 10,825 calls.
% 0.53/0.73 ; Retrieved 1,961 instance terms in 281 calls.
% 0.53/0.73 ; Retrieved 3,375 unifiable terms in 203 calls.
% 0.53/0.73 ;
% 0.53/0.73 ; The agenda of backward simplifiable rows to process has 19 entries:
% 0.53/0.73 ; 19 with value 0
% 0.53/0.73 ; The agenda of rows to process has 92 entries:
% 0.53/0.73 ; 3 with value 19 3 with value 25 2 with value 31
% 0.53/0.73 ; 2 with value 20 8 with value 26 8 with value 32
% 0.53/0.73 ; 9 with value 21 4 with value 27 2 with value 33
% 0.53/0.73 ; 9 with value 22 9 with value 28 1 with value 35
% 0.53/0.73 ; 5 with value 23 14 with value 29 1 with value 38
% 0.53/0.73 ; 9 with value 24 3 with value 30
% 0.53/0.73 ; The agenda of rows to give has 172 entries:
% 0.53/0.73 ; 1 with value (4 19) 10 with value (4 30) 2 with value (4 39)
% 0.53/0.73 ; 1 with value (4 21) 9 with value (4 31) 3 with value (4 40)
% 0.53/0.73 ; 9 with value (4 23) 6 with value (4 32) 2 with value (4 41)
% 0.53/0.73 ; 8 with value (4 24) 6 with value (4 33) 5 with value (4 42)
% 0.53/0.73 ; 10 with value (4 25) 7 with value (4 34) 4 with value (4 43)
% 0.53/0.73 ; 11 with value (4 26) 10 with value (4 35) 1 with value (4 44)
% 0.53/0.73 ; 11 with value (4 27) 9 with value (4 36) 2 with value (4 45)
% 0.53/0.73 ; 14 with value (4 28) 5 with value (4 37) 2 with value (4 47)
% 0.53/0.73 ; 12 with value (4 29) 6 with value (4 38) 6 with value (4 48)
% 0.53/0.73 Evaluation took:
% 0.53/0.73 0.272 seconds of real time
% 0.53/0.73 0.245711 seconds of user run time
% 0.53/0.73 0.024994 seconds of system run time
% 0.53/0.73 [Run times include 0.011 seconds GC run time.]
% 0.53/0.73 0 calls to %EVAL
% 0.53/0.73 0 page faults and
% 0.53/0.73 26,084,424 bytes consed.
% 0.53/0.73 :PROOF-FOUND
% 0.53/0.73 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-29T04:01:39
% 0.53/0.73 :PROOF-FOUND
% 0.53/0.73 *
%------------------------------------------------------------------------------