TSTP Solution File: LAT160-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LAT160-1 : TPTP v8.1.0. Released v3.1.0.
% 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 06:42:34 EDT 2022
% Result : Unsatisfiable 0.46s 0.61s
% Output : Refutation 0.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of clauses : 12 ( 12 unt; 0 nHn; 3 RR)
% Number of literals : 12 ( 11 equ; 2 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 : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 25 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(idempotence_of_join,axiom,
join(X,X) = X,
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',idempotence_of_join) ).
cnf(absorption1,axiom,
meet(X,join(X,Y)) = X,
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/LAT001-0.ax',absorption2) ).
cnf(8,plain,
join(X,join(meet(X,Y),Z)) = join(X,Z),
inference('EMBED',[status(thm)],[absorption2]) ).
cnf(equation_H52,axiom,
meet(X,join(Y,meet(Z,join(X,U)))) = meet(X,join(Y,join(meet(Z,U),meet(Z,join(X,Y))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equation_H52) ).
cnf(prove_H51,negated_conjecture,
meet(a,join(b,meet(c,join(a,d)))) != meet(a,join(b,join(meet(a,c),meet(c,d)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_H51) ).
cnf(12,plain,
meet(a,join(b,join(meet(c,d),meet(c,join(a,b))))) != meet(a,join(b,join(meet(a,c),meet(c,d)))),
inference('REWRITE',[status(thm)],[prove_H51,equation_H52,theory(equality)]) ).
cnf(19,plain,
join(meet(X,join(Y,Z)),meet(X,Y)) = meet(X,join(Y,Z)),
inference('PARAMODULATE',[status(thm)],[absorption2,6,theory(equality)]) ).
cnf(49,plain,
meet(X,join(Y,meet(X,Z))) = meet(X,join(Y,meet(Z,join(X,Y)))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[equation_H52,idempotence_of_join,theory(equality)]),19,theory(equality)]) ).
cnf(61,plain,
meet(X,join(Y,join(Z,meet(join(X,Y),U)))) = meet(X,join(Z,join(Y,meet(X,U)))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[equation_H52,8,theory(equality)]),49,theory(equality)]) ).
cnf(67,plain,
$false,
inference('REWRITE',[status(thm)],[12,61,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LAT160-1 : TPTP v8.1.0. Released v3.1.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n021.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jun 28 21:29:11 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.46 *
% 0.20/0.46 *
% 0.20/0.46 #<PACKAGE "SNARK-USER">
% 0.20/0.46 *
% 0.20/0.46 SNARK-TPTP-OPTIONS
% 0.20/0.46 *
% 0.20/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.46 (USE-FACTORING :POS)
% 0.20/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.46 *
% 0.20/0.46 "."
% 0.20/0.46 *
% 0.20/0.46 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-28T21:29:11
% 0.20/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-06-28T21:29:11
% 0.20/0.48
% 0.20/0.48 ; Recognized commutativity assertion (= (|meet| ?X ?Y) (|meet| ?Y ?X)).
% 0.20/0.48 ; Recognized commutativity assertion (= (|join| ?X ?Y) (|join| ?Y ?X)).
% 0.20/0.48 ; Recognized associativity assertion (= (|meet| (|meet| ?X ?Y) ?Z) (|meet| ?X (|meet| ?Y ?Z))).
% 0.20/0.48 ; Recognized associativity assertion (= (|join| (|join| ?X ?Y) ?Z) (|join| ?X (|join| ?Y ?Z))).
% 0.20/0.48 ; Declaring meet to be commutative.
% 0.20/0.48 ; Declaring meet to be associative-commutative.
% 0.20/0.48 ; Declaring join to be commutative.
% 0.46/0.61 ; Declaring join to be associative-commutative.
% 0.46/0.61
% 0.46/0.61 #||
% 0.46/0.61 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.46/0.61 % SZS output start Refutation
% See solution above
% 0.46/0.61 ||#
% 0.46/0.61
% 0.46/0.61 ; Summary of computation:
% 0.46/0.61 ; 681 formulas have been input or derived (from 10 formulas).
% 0.46/0.61 ; 67 (10%) were retained. Of these,
% 0.46/0.61 ; 24 (36%) were simplified or subsumed later,
% 0.46/0.61 ; 43 (64%) are still being kept.
% 0.46/0.61 ;
% 0.46/0.61 ; Run time in seconds excluding printing time:
% 0.46/0.61 ; 0.003 2% Read assertion file (1 call)
% 0.46/0.61 ; 0.000 0% Assert (10 calls)
% 0.46/0.61 ; 0.005 3% Process new row (318 calls)
% 0.46/0.61 ; 0.002 1% Resolution (18 calls)
% 0.46/0.61 ; 0.026 18% Paramodulation (9 calls)
% 0.46/0.61 ; 0.005 3% Embedding (32 calls)
% 0.46/0.61 ; 0.044 30% Forward simplification (286 calls)
% 0.46/0.61 ; 0.009 6% Backward simplification (34 calls)
% 0.46/0.61 ; 0.001 1% Ordering (232 calls)
% 0.46/0.61 ; 0.028 19% Ordering ac (145 calls)
% 0.46/0.61 ; 0.000 0% Sortal reasoning (32 calls)
% 0.46/0.61 ; 0.000 0% Purity testing (1 call)
% 0.46/0.61 ; 0.023 16% Other
% 0.46/0.61 ; 0.146 Total
% 0.46/0.61 ; 0.148 Real time
% 0.46/0.61 ;
% 0.46/0.61 ; Term-hash-array has 224 terms in all.
% 0.46/0.61 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.46/0.61 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.46/0.61 ; Path-index has 141 entries (214 at peak, 240 added, 99 deleted).
% 0.46/0.61 ; Path-index has 45 nodes (71 at peak, 75 added, 30 deleted).
% 0.46/0.61 ; Trie-index has 141 entries (214 at peak, 240 added, 99 deleted).
% 0.46/0.61 ; Trie-index has 16 nodes (18 at peak, 22 added, 6 deleted).
% 0.46/0.61 ; Retrieved 13,205 generalization terms in 1,828 calls.
% 0.46/0.61 ; Retrieved 552 instance terms in 37 calls.
% 0.46/0.61 ; Retrieved 331 unifiable terms in 46 calls.
% 0.46/0.61 ;
% 0.46/0.61 ; The agenda of rows to process has 350 entries:
% 0.46/0.61 ; 2 with value 31 10 with value 44 6 with value 57
% 0.46/0.61 ; 5 with value 32 14 with value 45 5 with value 58
% 0.46/0.61 ; 24 with value 33 9 with value 46 12 with value 59
% 0.46/0.61 ; 8 with value 34 16 with value 47 6 with value 61
% 0.46/0.61 ; 15 with value 35 7 with value 48 2 with value 62
% 0.46/0.61 ; 8 with value 36 16 with value 49 3 with value 63
% 0.46/0.61 ; 27 with value 37 6 with value 50 3 with value 65
% 0.46/0.61 ; 16 with value 38 13 with value 51 4 with value 66
% 0.46/0.61 ; 13 with value 39 1 with value 52 1 with value 69
% 0.46/0.61 ; 6 with value 40 11 with value 53 2 with value 70
% 0.46/0.61 ; 23 with value 41 8 with value 54 2 with value 71
% 0.46/0.61 ; 14 with value 42 8 with value 55 4 with value 73
% 0.46/0.61 ; 16 with value 43 2 with value 56 2 with value 77
% 0.46/0.61 ; The agenda of input rows to give has 2 entries:
% 0.46/0.61 ; 2 with value 26
% 0.46/0.61 ; The agenda of rows to give has 32 entries:
% 0.46/0.61 ; 4 with value (4 20) 2 with value (4 24) 2 with value (4 30)
% 0.46/0.61 ; 2 with value (4 21) 6 with value (4 25) 4 with value (4 31)
% 0.46/0.61 ; 4 with value (4 22) 4 with value (4 27) 4 with value (4 33)
% 0.46/0.61 Evaluation took:
% 0.46/0.61 0.148 seconds of real time
% 0.46/0.61 0.142485 seconds of user run time
% 0.46/0.61 0.005795 seconds of system run time
% 0.46/0.61 0 calls to %EVAL
% 0.46/0.61 0 page faults and
% 0.46/0.61 10,278,712 bytes consed.
% 0.46/0.61 :PROOF-FOUND
% 0.46/0.61 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-28T21:29:11
% 0.46/0.61 :PROOF-FOUND
% 0.46/0.61 *
%------------------------------------------------------------------------------