TSTP Solution File: LAT011-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LAT011-1 : 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 06:41:49 EDT 2022
% Result : Unsatisfiable 4.24s 4.42s
% Output : Refutation 4.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of clauses : 12 ( 12 unt; 0 nHn; 2 RR)
% Number of literals : 12 ( 11 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 22 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(absorption1,axiom,
meet(X,join(X,Y)) = X,
file('/export/starexec/sandbox/benchmark/Axioms/LAT001-0.ax',absorption1) ).
cnf(absorption2,axiom,
join(X,meet(X,Y)) = X,
file('/export/starexec/sandbox/benchmark/Axioms/LAT001-0.ax',absorption2) ).
cnf(absorption1_2,axiom,
meet2(X,join(X,Y)) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',absorption1_2) ).
cnf(absorption2_2,axiom,
join(X,meet2(X,Y)) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',absorption2_2) ).
cnf(prove_meets_are_same,negated_conjecture,
meet(a,b) != meet2(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_meets_are_same) ).
cnf(52,plain,
meet2(meet(X,Y),X) = meet(X,Y),
inference('PARAMODULATE',[status(thm)],[absorption1_2,absorption2,theory(equality)]) ).
cnf(53,plain,
meet2(meet(X,Y),meet2(X,Z)) = meet2(meet(X,Y),Z),
inference('EMBED',[status(thm)],[52]) ).
cnf(74,plain,
meet(meet2(X,Y),X) = meet2(X,Y),
inference('PARAMODULATE',[status(thm)],[absorption1,absorption2_2,theory(equality)]) ).
cnf(152,plain,
join(meet2(X,Y),meet2(meet(X,Z),Y)) = meet2(X,Y),
inference('PARAMODULATE',[status(thm)],[absorption2_2,53,theory(equality)]) ).
cnf(1206,plain,
join(meet2(X,Y),meet(X,Y)) = meet2(X,Y),
inference('PARAMODULATE',[status(thm)],[152,52,theory(equality)]) ).
cnf(1316,plain,
meet2(X,Y) = meet(X,Y),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[absorption1,1206,theory(equality)]),74,theory(equality)]) ).
cnf(1341,plain,
$false,
inference('REWRITE',[status(thm)],[prove_meets_are_same,1316,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT011-1 : TPTP v8.1.0. Released v2.2.0.
% 0.13/0.13 % 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 : Tue Jun 28 23:02:26 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-28T23:02:26
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-06-28T23:02:26
% 0.19/0.49
% 0.19/0.49 ; Recognized commutativity assertion (= (|meet| ?X ?Y) (|meet| ?Y ?X)).
% 0.19/0.49 ; Recognized commutativity assertion (= (|join| ?X ?Y) (|join| ?Y ?X)).
% 0.19/0.49 ; Recognized associativity assertion (= (|meet| (|meet| ?X ?Y) ?Z) (|meet| ?X (|meet| ?Y ?Z))).
% 0.19/0.49 ; Recognized associativity assertion (= (|join| (|join| ?X ?Y) ?Z) (|join| ?X (|join| ?Y ?Z))).
% 0.19/0.49 ; Recognized commutativity assertion (= (|meet2| ?X ?Y) (|meet2| ?Y ?X)).
% 0.19/0.49 ; Recognized associativity assertion (= (|meet2| (|meet2| ?X ?Y) ?Z) (|meet2| ?X (|meet2| ?Y ?Z))).
% 0.19/0.49 ; Declaring meet to be commutative.
% 0.19/0.49 ; Declaring meet to be associative-commutative.
% 0.19/0.49 ; Declaring join to be commutative.
% 0.19/0.49 ; Declaring join to be associative-commutative.
% 0.19/0.49 ; Declaring meet2 to be commutative.
% 4.24/4.42 ; Declaring meet2 to be associative-commutative.
% 4.24/4.42
% 4.24/4.42 #||
% 4.24/4.42 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.24/4.42 % SZS output start Refutation
% See solution above
% 4.24/4.42 ||#
% 4.24/4.42
% 4.24/4.42 ; Summary of computation:
% 4.24/4.42 ; 6369 formulas have been input or derived (from 40 formulas).
% 4.24/4.42 ; 1341 (21%) were retained. Of these,
% 4.24/4.42 ; 1270 (95%) were simplified or subsumed later,
% 4.24/4.42 ; 71 ( 5%) are still being kept.
% 4.24/4.42 ;
% 4.24/4.42 ; Run time in seconds excluding printing time:
% 4.24/4.42 ; 0.003 0% Read assertion file (1 call)
% 4.24/4.42 ; 0.001 0% Assert (14 calls)
% 4.24/4.42 ; 0.152 4% Process new row (5,980 calls)
% 4.24/4.42 ; 0.002 0% Resolution (78 calls)
% 4.24/4.42 ; 0.115 3% Paramodulation (39 calls)
% 4.24/4.42 ; 0.041 1% Embedding (670 calls)
% 4.24/4.42 ; 3.338 85% Forward simplification (5,311 calls)
% 4.24/4.42 ; 0.215 5% Backward simplification (672 calls)
% 4.24/4.42 ; 0.009 0% Ordering (2,372 calls)
% 4.24/4.42 ; 0.017 0% Ordering ac (1,261 calls)
% 4.24/4.42 ; 0.000 0% Sortal reasoning (32 calls)
% 4.24/4.42 ; 0.000 0% Purity testing (1 call)
% 4.24/4.42 ; 0.048 1% Other
% 4.24/4.42 ; 3.941 Total
% 4.24/4.42 ; 3.943 Real time
% 4.24/4.42 ;
% 4.24/4.42 ; Term-hash-array has 3,671 terms in all.
% 4.24/4.42 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 4.24/4.42 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 4.24/4.42 ; Path-index has 221 entries (3,598 at peak, 3,685 added, 3,464 deleted).
% 4.24/4.42 ; Path-index has 383 nodes (721 at peak, 725 added, 342 deleted).
% 4.24/4.42 ; Trie-index has 221 entries (3,598 at peak, 3,685 added, 3,464 deleted).
% 4.24/4.42 ; Trie-index has 18 nodes (25 at peak, 28 added, 10 deleted).
% 4.24/4.42 ; Retrieved 4,095,478 generalization terms in 45,071 calls.
% 4.24/4.42 ; Retrieved 11,076 instance terms in 671 calls.
% 4.24/4.42 ; Retrieved 9,704 unifiable terms in 192 calls.
% 4.24/4.42 ;
% 4.24/4.42 ; The agenda of rows to process has 209 entries:
% 4.24/4.42 ; 2 with value 20 15 with value 29 13 with value 39
% 4.24/4.42 ; 8 with value 21 14 with value 30 8 with value 40
% 4.24/4.42 ; 6 with value 22 3 with value 31 8 with value 41
% 4.24/4.42 ; 12 with value 23 2 with value 32 9 with value 43
% 4.24/4.42 ; 4 with value 24 16 with value 33 2 with value 45
% 4.24/4.42 ; 3 with value 25 18 with value 34 2 with value 46
% 4.24/4.42 ; 4 with value 26 13 with value 35 2 with value 47
% 4.24/4.42 ; 17 with value 27 8 with value 36 3 with value 49
% 4.24/4.42 ; 8 with value 28 9 with value 37
% 4.24/4.42 ; The agenda of rows to give has 62 entries:
% 4.24/4.42 ; 2 with value (4 13) 6 with value (4 27) 2 with value (4 39)
% 4.24/4.42 ; 4 with value (4 20) 2 with value (4 28) 2 with value (4 40)
% 4.24/4.42 ; 4 with value (4 21) 4 with value (4 30) 2 with value (4 42)
% 4.24/4.42 ; 6 with value (4 22) 6 with value (4 31) 2 with value (4 46)
% 4.24/4.42 ; 4 with value (4 24) 8 with value (4 33) 2 with value (4 48)
% 4.24/4.42 ; 6 with value (4 25)
% 4.24/4.42 Evaluation took:
% 4.24/4.42 3.943 seconds of real time
% 4.24/4.42 3.886209 seconds of user run time
% 4.24/4.42 0.055846 seconds of system run time
% 4.24/4.42 [Run times include 0.133 seconds GC run time.]
% 4.24/4.42 0 calls to %EVAL
% 4.24/4.42 0 page faults and
% 4.24/4.42 396,137,648 bytes consed.
% 4.24/4.42 :PROOF-FOUND
% 4.24/4.42 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-28T23:02:30
% 4.24/4.42 :PROOF-FOUND
% 4.24/4.42 *
%------------------------------------------------------------------------------