TSTP Solution File: LAT026-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LAT026-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n021.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 2.03s 2.21s
% Output : Refutation 2.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of clauses : 14 ( 14 unt; 0 nHn; 2 RR)
% Number of literals : 14 ( 13 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 : 33 ( 12 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(idempotence_of_join,axiom,
join(X,X) = X,
file('/export/starexec/sandbox2/benchmark/Axioms/LAT005-0.ax',idempotence_of_join) ).
cnf(wal_1,axiom,
meet(meet(join(X,Y),join(Z,Y)),Y) = Y,
file('/export/starexec/sandbox2/benchmark/Axioms/LAT005-0.ax',wal_1) ).
cnf(wal_2,axiom,
join(join(meet(X,Y),meet(Z,Y)),Y) = Y,
file('/export/starexec/sandbox2/benchmark/Axioms/LAT005-0.ax',wal_2) ).
cnf(absorbtion,hypothesis,
meet(X,join(Y,join(X,Z))) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',absorbtion) ).
cnf(prove_associativity_of_meet,negated_conjecture,
meet(meet(a,b),c) != meet(a,meet(b,c)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_associativity_of_meet) ).
cnf(8,plain,
join(meet(X,Y),Y) = Y,
inference('PARAMODULATE',[status(thm)],[wal_2,idempotence_of_join,theory(equality)]) ).
cnf(17,plain,
meet(meet(X,Y),join(Z,Y)) = meet(X,Y),
inference('PARAMODULATE',[status(thm)],[absorbtion,8,theory(equality)]) ).
cnf(19,plain,
meet(meet(X,join(Y,meet(Z,X))),meet(Z,X)) = meet(Z,X),
inference('PARAMODULATE',[status(thm)],[wal_1,8,theory(equality)]) ).
cnf(21,plain,
join(meet(X,Y),join(Z,Y)) = join(Z,Y),
inference('PARAMODULATE',[status(thm)],[8,17,theory(equality)]) ).
cnf(28,plain,
join(meet(X,meet(Z,Y)),Z) = Z,
inference('PARAMODULATE',[status(thm)],[21,8,theory(equality)]) ).
cnf(149,plain,
meet(meet(X,Y),meet(X,meet(Z,Y))) = meet(X,meet(Z,Y)),
inference('PARAMODULATE',[status(thm)],[19,28,theory(equality)]) ).
cnf(658,plain,
meet(meet(X,Y),meet(Z,Y)) = meet(Z,meet(X,Y)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[149,149,theory(equality)]),149,theory(equality)]) ).
cnf(679,plain,
meet(X,meet(Z,Y)) = meet(Y,meet(Z,X)),
inference('PARAMODULATE',[status(thm)],[658,658,theory(equality)]) ).
cnf(680,plain,
$false,
inference('REWRITE',[status(thm)],[prove_associativity_of_meet,679,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LAT026-1 : TPTP v8.1.0. Released v2.2.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n021.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 : Wed Jun 29 16:56:27 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.44 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45 *
% 0.19/0.45 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 0.19/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46 (USE-FACTORING :POS)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46 *
% 0.19/0.46 "."
% 0.19/0.46 *
% 0.19/0.46 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-29T16:56:27
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-06-29T16:56:27
% 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.
% 2.03/2.21 ; Declaring join to be commutative.
% 2.03/2.21
% 2.03/2.21 #||
% 2.03/2.21 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.03/2.21 % SZS output start Refutation
% See solution above
% 2.03/2.21 ||#
% 2.03/2.21
% 2.03/2.21 ; Summary of computation:
% 2.03/2.21 ; 5866 formulas have been input or derived (from 51 formulas).
% 2.03/2.21 ; 680 (12%) were retained. Of these,
% 2.03/2.21 ; 259 (38%) were simplified or subsumed later,
% 2.03/2.21 ; 421 (62%) are still being kept.
% 2.03/2.21 ;
% 2.03/2.21 ; Run time in seconds excluding printing time:
% 2.03/2.21 ; 0.002 0% Read assertion file (1 call)
% 2.03/2.21 ; 0.000 0% Assert (8 calls)
% 2.03/2.21 ; 0.110 6% Process new row (4,821 calls)
% 2.03/2.21 ; 0.007 0% Resolution (100 calls)
% 2.03/2.21 ; 0.145 8% Paramodulation (50 calls)
% 2.03/2.21 ; 1.094 62% Forward simplification (4,590 calls)
% 2.03/2.21 ; 0.102 6% Backward simplification (680 calls)
% 2.03/2.21 ; 0.241 14% Ordering (24,589 calls)
% 2.03/2.21 ; 0.000 0% Sortal reasoning (32 calls)
% 2.03/2.21 ; 0.000 0% Purity testing (1 call)
% 2.03/2.21 ; 0.051 3% Other
% 2.03/2.21 ; 1.752 Total
% 2.03/2.21 ; 1.755 Real time
% 2.03/2.21 ;
% 2.03/2.21 ; Term-hash-array has 2,384 terms in all.
% 2.03/2.21 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 2.03/2.21 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 2.03/2.21 ; Path-index has 1,530 entries (2,054 at peak, 2,451 added, 921 deleted).
% 2.03/2.21 ; Path-index has 520 nodes (588 at peak, 621 added, 101 deleted).
% 2.03/2.21 ; Trie-index has 1,530 entries (2,054 at peak, 2,451 added, 921 deleted).
% 2.03/2.21 ; Trie-index has 8,871 nodes (13,061 at peak, 15,502 added, 6,631 deleted).
% 2.03/2.21 ; Retrieved 68,929 generalization terms in 35,930 calls.
% 2.03/2.21 ; Retrieved 7,001 instance terms in 693 calls.
% 2.03/2.21 ; Retrieved 11,376 unifiable terms in 344 calls.
% 2.03/2.21 ;
% 2.03/2.21 ; The agenda of backward simplifiable rows to process has 30 entries:
% 2.03/2.21 ; 30 with value 0
% 2.03/2.21 ; The agenda of rows to process has 140 entries:
% 2.03/2.21 ; 3 with value 21 5 with value 29 1 with value 36
% 2.03/2.21 ; 2 with value 22 10 with value 30 2 with value 37
% 2.03/2.21 ; 9 with value 23 9 with value 31 1 with value 38
% 2.03/2.21 ; 11 with value 24 7 with value 32 6 with value 39
% 2.03/2.21 ; 4 with value 25 14 with value 33 2 with value 40
% 2.03/2.21 ; 19 with value 26 12 with value 34 6 with value 41
% 2.03/2.21 ; 3 with value 27 4 with value 35 1 with value 43
% 2.03/2.21 ; 9 with value 28
% 2.03/2.21 ; The agenda of rows to give has 389 entries:
% 2.03/2.21 ; 1 with value (4 21) 18 with value (4 35) 4 with value (4 47)
% 2.03/2.21 ; 1 with value (4 23) 14 with value (4 36) 8 with value (4 48)
% 2.03/2.21 ; 5 with value (4 24) 23 with value (4 37) 3 with value (4 49)
% 2.03/2.21 ; 10 with value (4 25) 15 with value (4 38) 4 with value (4 50)
% 2.03/2.21 ; 11 with value (4 26) 13 with value (4 39) 1 with value (4 51)
% 2.03/2.21 ; 14 with value (4 27) 17 with value (4 40) 1 with value (4 52)
% 2.03/2.21 ; 17 with value (4 28) 5 with value (4 41) 4 with value (4 54)
% 2.03/2.21 ; 22 with value (4 29) 13 with value (4 42) 2 with value (4 55)
% 2.03/2.21 ; 21 with value (4 30) 3 with value (4 43) 1 with value (4 56)
% 2.03/2.21 ; 30 with value (4 31) 10 with value (4 44) 1 with value (4 57)
% 2.03/2.21 ; 36 with value (4 32) 1 with value (4 45) 1 with value (4 61)
% 2.03/2.21 ; 32 with value (4 33) 2 with value (4 46) 1 with value (4 63)
% 2.03/2.21 ; 24 with value (4 34)
% 2.03/2.21 Evaluation took:
% 2.03/2.21 1.757 seconds of real time
% 2.03/2.21 1.653564 seconds of user run time
% 2.03/2.21 0.101675 seconds of system run time
% 2.03/2.21 [Run times include 0.083 seconds GC run time.]
% 2.03/2.21 0 calls to %EVAL
% 2.03/2.21 0 page faults and
% 2.03/2.21 119,510,032 bytes consed.
% 2.03/2.21 :PROOF-FOUND
% 2.03/2.21 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-29T16:56:29
% 2.03/2.21 :PROOF-FOUND
% 2.03/2.21 *
%------------------------------------------------------------------------------