TSTP Solution File: LAT143-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LAT143-1 : TPTP v8.1.0. Released v3.1.0.
% 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 : Sun Jul 17 06:42:29 EDT 2022
% Result : Unsatisfiable 0.40s 0.56s
% Output : Refutation 0.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of clauses : 13 ( 13 unt; 0 nHn; 4 RR)
% Number of literals : 13 ( 12 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 6 ( 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 : 23 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(idempotence_of_meet,axiom,
meet(X,X) = X,
file('/export/starexec/sandbox/benchmark/Axioms/LAT001-0.ax',idempotence_of_meet) ).
cnf(absorption1,axiom,
meet(X,join(X,Y)) = X,
file('/export/starexec/sandbox/benchmark/Axioms/LAT001-0.ax',absorption1) ).
cnf(6,plain,
meet(X,meet(join(X,Y),Z)) = meet(X,Z),
inference('EMBED',[status(thm)],[absorption1]) ).
cnf(absorption2,axiom,
join(X,meet(X,Y)) = X,
file('/export/starexec/sandbox/benchmark/Axioms/LAT001-0.ax',absorption2) ).
cnf(equation_H24,axiom,
join(meet(X,Y),meet(Y,Z)) = join(meet(X,Y),meet(Y,join(meet(X,Y),meet(Z,join(X,Y))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equation_H24) ).
cnf(prove_H15,negated_conjecture,
meet(a,join(meet(a,b),meet(a,c))) != meet(a,join(meet(a,b),join(meet(a,c),meet(c,join(a,b))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_H15) ).
cnf(18,plain,
join(meet(X,join(Y,Z)),meet(X,Y)) = meet(X,join(Y,Z)),
inference('PARAMODULATE',[status(thm)],[absorption2,6,theory(equality)]) ).
cnf(20,plain,
meet(a,join(meet(a,b),meet(a,c))) != meet(a,join(meet(a,b),meet(c,join(a,b)))),
inference('REWRITE',[status(thm)],[prove_H15,18,theory(equality)]) ).
cnf(25,plain,
join(meet(X,join(meet(X,Y),Z)),meet(X,Y)) = meet(X,join(meet(X,Y),Z)),
inference('PARAMODULATE',[status(thm)],[absorption2,absorption1,theory(equality)]) ).
cnf(27,plain,
join(meet(X,Y),meet(Y,Z)) = meet(Y,join(meet(X,Y),meet(Z,join(X,Y)))),
inference('REWRITE',[status(thm)],[equation_H24,25,theory(equality)]) ).
cnf(29,plain,
meet(a,join(meet(a,b),meet(a,c))) != join(meet(a,b),meet(a,c)),
inference('REWRITE',[status(thm)],[20,27,theory(equality)]) ).
cnf(54,plain,
join(meet(X,Y),meet(Y,Z)) = meet(Y,join(meet(X,Y),meet(Y,Z))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[27,6,theory(equality)]),idempotence_of_meet,theory(equality)]) ).
cnf(56,plain,
$false,
inference('REWRITE',[status(thm)],[29,54,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LAT143-1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n005.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 : Thu Jun 30 13:06:22 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46 *
% 0.20/0.47 *
% 0.20/0.47 #<PACKAGE "SNARK-USER">
% 0.20/0.47 *
% 0.20/0.47 SNARK-TPTP-OPTIONS
% 0.20/0.47 *
% 0.20/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47 (USE-FACTORING :POS)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47 *
% 0.20/0.47 "."
% 0.20/0.47 *
% 0.20/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-30T13:06:23
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n005.cluster.edu at 2022-06-30T13:06:23
% 0.20/0.49
% 0.20/0.49 ; Recognized commutativity assertion (= (|meet| ?X ?Y) (|meet| ?Y ?X)).
% 0.20/0.49 ; Recognized commutativity assertion (= (|join| ?X ?Y) (|join| ?Y ?X)).
% 0.20/0.49 ; Recognized associativity assertion (= (|meet| (|meet| ?X ?Y) ?Z) (|meet| ?X (|meet| ?Y ?Z))).
% 0.20/0.49 ; Recognized associativity assertion (= (|join| (|join| ?X ?Y) ?Z) (|join| ?X (|join| ?Y ?Z))).
% 0.20/0.49 ; Declaring meet to be commutative.
% 0.20/0.49 ; Declaring meet to be associative-commutative.
% 0.20/0.49 ; Declaring join to be commutative.
% 0.40/0.56 ; Declaring join to be associative-commutative.
% 0.40/0.56
% 0.40/0.56 #||
% 0.40/0.56 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.40/0.56 % SZS output start Refutation
% See solution above
% 0.40/0.57 ||#
% 0.40/0.57
% 0.40/0.57 ; Summary of computation:
% 0.40/0.57 ; 402 formulas have been input or derived (from 11 formulas).
% 0.40/0.57 ; 56 (14%) were retained. Of these,
% 0.40/0.57 ; 5 ( 9%) were simplified or subsumed later,
% 0.40/0.57 ; 51 (91%) are still being kept.
% 0.40/0.57 ;
% 0.40/0.57 ; Run time in seconds excluding printing time:
% 0.40/0.57 ; 0.003 3% Read assertion file (1 call)
% 0.40/0.57 ; 0.000 0% Assert (10 calls)
% 0.40/0.57 ; 0.003 3% Process new row (260 calls)
% 0.40/0.57 ; 0.002 2% Resolution (20 calls)
% 0.40/0.57 ; 0.014 15% Paramodulation (10 calls)
% 0.40/0.57 ; 0.001 1% Embedding (26 calls)
% 0.40/0.57 ; 0.029 32% Forward simplification (234 calls)
% 0.40/0.57 ; 0.014 15% Backward simplification (30 calls)
% 0.40/0.57 ; 0.001 1% Ordering (163 calls)
% 0.40/0.57 ; 0.001 1% Ordering ac (91 calls)
% 0.40/0.57 ; 0.000 0% Sortal reasoning (32 calls)
% 0.40/0.57 ; 0.000 0% Purity testing (1 call)
% 0.40/0.57 ; 0.024 26% Other
% 0.40/0.57 ; 0.092 Total
% 0.40/0.57 ; 0.094 Real time
% 0.40/0.57 ;
% 0.40/0.57 ; Term-hash-array has 176 terms in all.
% 0.40/0.57 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.40/0.57 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.40/0.57 ; Path-index has 161 entries (164 at peak, 201 added, 40 deleted).
% 0.40/0.57 ; Path-index has 46 nodes (69 at peak, 119 added, 73 deleted).
% 0.40/0.57 ; Trie-index has 161 entries (164 at peak, 201 added, 40 deleted).
% 0.40/0.57 ; Trie-index has 15 nodes (15 at peak, 24 added, 9 deleted).
% 0.40/0.57 ; Retrieved 6,563 generalization terms in 1,324 calls.
% 0.40/0.57 ; Retrieved 267 instance terms in 29 calls.
% 0.40/0.57 ; Retrieved 287 unifiable terms in 52 calls.
% 0.40/0.57 ;
% 0.40/0.57 ; The agenda of rows to process has 132 entries:
% 0.40/0.57 ; 1 with value 24 3 with value 38 4 with value 51
% 0.40/0.57 ; 1 with value 25 5 with value 39 3 with value 52
% 0.40/0.57 ; 2 with value 26 4 with value 40 2 with value 53
% 0.40/0.57 ; 2 with value 27 4 with value 41 1 with value 54
% 0.40/0.57 ; 5 with value 28 3 with value 42 1 with value 55
% 0.40/0.57 ; 7 with value 29 6 with value 43 3 with value 56
% 0.40/0.57 ; 2 with value 30 6 with value 44 3 with value 57
% 0.40/0.57 ; 5 with value 31 3 with value 45 1 with value 59
% 0.40/0.57 ; 5 with value 32 3 with value 46 1 with value 60
% 0.40/0.57 ; 8 with value 33 3 with value 47 2 with value 61
% 0.40/0.57 ; 9 with value 34 2 with value 48 2 with value 62
% 0.40/0.57 ; 2 with value 35 4 with value 49 2 with value 67
% 0.40/0.57 ; 1 with value 36 2 with value 50 1 with value 88
% 0.40/0.57 ; 8 with value 37
% 0.40/0.57 ; The agenda of input rows to give has 1 entry:
% 0.40/0.57 ; 1 with value 24
% 0.40/0.57 ; The agenda of rows to give has 40 entries:
% 0.40/0.57 ; 2 with value (4 18) 4 with value (4 24) 4 with value (4 30)
% 0.40/0.57 ; 4 with value (4 20) 4 with value (4 25) 4 with value (4 31)
% 0.40/0.57 ; 4 with value (4 21) 4 with value (4 27) 4 with value (4 33)
% 0.40/0.57 ; 6 with value (4 22)
% 0.40/0.57 Evaluation took:
% 0.40/0.57 0.095 seconds of real time
% 0.40/0.57 0.084546 seconds of user run time
% 0.40/0.57 0.010056 seconds of system run time
% 0.40/0.57 0 calls to %EVAL
% 0.40/0.57 0 page faults and
% 0.40/0.57 6,126,352 bytes consed.
% 0.40/0.57 :PROOF-FOUND
% 0.40/0.57 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-30T13:06:23
% 0.40/0.57 :PROOF-FOUND
% 0.40/0.57 *
%------------------------------------------------------------------------------