TSTP Solution File: LAT006-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LAT006-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n015.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 06:41:47 EDT 2022
% Result : Unsatisfiable 0.59s 0.83s
% Output : Refutation 0.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 3
% Syntax : Number of clauses : 26 ( 26 unt; 0 nHn; 4 RR)
% Number of literals : 26 ( 25 equ; 3 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 : 57 ( 9 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(absorption,axiom,
meet(X,join(X,Y)) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',absorption) ).
cnf(distribution,axiom,
meet(X,join(Y,Z)) = join(meet(Z,X),meet(Y,X)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distribution) ).
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(4,plain,
join(meet(X,Y),meet(Y,Y)) = Y,
inference('REWRITE',[status(thm)],[absorption,distribution,theory(equality)]) ).
cnf(5,plain,
meet(X,Y) = join(meet(meet(Y,Y),X),meet(meet(Z,Y),X)),
inference('PARAMODULATE',[status(thm)],[distribution,4,theory(equality)]) ).
cnf(7,plain,
meet(meet(X,Y),Y) = meet(X,Y),
inference('PARAMODULATE',[status(thm)],[4,5,theory(equality)]) ).
cnf(8,plain,
meet(X,meet(Y,Z)) = join(meet(meet(meet(U,Z),Y),X),meet(meet(meet(Z,Z),Y),X)),
inference('PARAMODULATE',[status(thm)],[distribution,5,theory(equality)]) ).
cnf(11,plain,
meet(X,X) = join(meet(X,X),meet(Y,X)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[5,7,theory(equality)]),7,theory(equality)]) ).
cnf(15,plain,
meet(X,X) = X,
inference('PARAMODULATE',[status(thm)],[4,11,theory(equality)]) ).
cnf(16,plain,
meet(X,meet(Y,Z)) = join(meet(meet(meet(U,Z),Y),X),meet(meet(Z,Y),X)),
inference('REWRITE',[status(thm)],[8,15,theory(equality)]) ).
cnf(21,plain,
join(meet(X,Y),Y) = Y,
inference('REWRITE',[status(thm)],[4,15,theory(equality)]) ).
cnf(22,plain,
meet(X,Y) = join(meet(Y,X),meet(meet(Z,Y),X)),
inference('REWRITE',[status(thm)],[5,15,theory(equality)]) ).
cnf(24,plain,
join(X,X) = X,
inference('PARAMODULATE',[status(thm)],[21,15,theory(equality)]) ).
cnf(26,plain,
meet(X,Y) = meet(Y,X),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[distribution,24,theory(equality)]),24,theory(equality)]) ).
cnf(31,plain,
meet(meet(X,Y),X) = meet(X,Y),
inference('PARAMODULATE',[status(thm)],[7,26,theory(equality)]) ).
cnf(35,plain,
meet(meet(a,b),c) != meet(a,meet(c,b)),
inference('PARAMODULATE',[status(thm)],[prove_associativity_of_meet,26,theory(equality)]) ).
cnf(45,plain,
meet(X,Y) = join(meet(X,Y),meet(meet(Z,Y),X)),
inference('PARAMODULATE',[status(thm)],[22,26,theory(equality)]) ).
cnf(93,plain,
meet(meet(a,b),c) != meet(meet(c,b),a),
inference('PARAMODULATE',[status(thm)],[35,26,theory(equality)]) ).
cnf(353,plain,
meet(X,meet(Y,Z)) = meet(meet(Z,Y),X),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[16,15,theory(equality)]),24,theory(equality)]) ).
cnf(357,plain,
meet(meet(X,Y),meet(Z,Y)) = meet(meet(X,Y),Z),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[16,31,theory(equality)]),45,theory(equality)]) ).
cnf(362,plain,
meet(meet(meet(X,Y),Z),meet(Z,Y)) = meet(meet(X,Y),Z),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[16,15,theory(equality)]),45,357,theory(equality)]) ).
cnf(386,plain,
meet(meet(X,Y),Z) = meet(meet(Y,X),Z),
inference('PARAMODULATE',[status(thm)],[26,353,theory(equality)]) ).
cnf(519,plain,
meet(meet(X,Y),meet(Y,Z)) = meet(meet(Z,Y),X),
inference('PARAMODULATE',[status(thm)],[353,357,theory(equality)]) ).
cnf(520,plain,
meet(meet(X,Y),meet(Z,X)) = meet(meet(Z,X),Y),
inference('REWRITE',[status(thm)],[362,519,theory(equality)]) ).
cnf(521,plain,
meet(meet(X,Y),Z) = meet(meet(Z,Y),X),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[386,357,theory(equality)]),520,theory(equality)]) ).
cnf(522,plain,
$false,
inference('REWRITE',[status(thm)],[93,521,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LAT006-1 : TPTP v8.1.0. Released v2.2.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n015.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Thu Jun 30 04:57:41 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.18/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.46 *
% 0.18/0.46 *
% 0.18/0.47 #<PACKAGE "SNARK-USER">
% 0.18/0.47 *
% 0.18/0.47 SNARK-TPTP-OPTIONS
% 0.18/0.47 *
% 0.18/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.47 (USE-FACTORING :POS)
% 0.18/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.47 *
% 0.18/0.47 "."
% 0.18/0.47 *
% 0.18/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-30T04:57:41
% 0.18/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n015.cluster.edu at 2022-06-30T04:57:41
% 0.59/0.83
% 0.59/0.83
% 0.59/0.83 #||
% 0.59/0.83 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.59/0.83 % SZS output start Refutation
% See solution above
% 0.59/0.83 ||#
% 0.59/0.83
% 0.59/0.83 ; Summary of computation:
% 0.59/0.83 ; 4481 formulas have been input or derived (from 91 formulas).
% 0.59/0.83 ; 522 (12%) were retained. Of these,
% 0.59/0.83 ; 59 (11%) were simplified or subsumed later,
% 0.59/0.83 ; 463 (89%) are still being kept.
% 0.59/0.83 ;
% 0.59/0.83 ; Run time in seconds excluding printing time:
% 0.59/0.83 ; 0.001 0% Read assertion file (1 call)
% 0.59/0.83 ; 0.000 0% Assert (3 calls)
% 0.59/0.83 ; 0.059 16% Process new row (3,952 calls)
% 0.59/0.83 ; 0.013 4% Resolution (180 calls)
% 0.59/0.83 ; 0.059 16% Paramodulation (90 calls)
% 0.59/0.83 ; 0.166 46% Forward simplification (3,946 calls)
% 0.59/0.83 ; 0.013 4% Backward simplification (522 calls)
% 0.59/0.83 ; 0.015 4% Ordering (6,715 calls)
% 0.59/0.83 ; 0.000 0% Sortal reasoning (32 calls)
% 0.59/0.83 ; 0.000 0% Purity testing (1 call)
% 0.59/0.83 ; 0.034 9% Other
% 0.59/0.83 ; 0.360 Total
% 0.59/0.83 ; 0.363 Real time
% 0.59/0.83 ;
% 0.59/0.83 ; Term-hash-array has 1,374 terms in all.
% 0.59/0.83 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.59/0.83 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.59/0.83 ; Path-index has 1,202 entries (1,222 at peak, 1,415 added, 213 deleted).
% 0.59/0.83 ; Path-index has 870 nodes (877 at peak, 1,127 added, 257 deleted).
% 0.59/0.83 ; Trie-index has 1,202 entries (1,222 at peak, 1,415 added, 213 deleted).
% 0.59/0.83 ; Trie-index has 3,101 nodes (3,186 at peak, 4,055 added, 954 deleted).
% 0.59/0.83 ; Retrieved 77,922 generalization terms in 29,969 calls.
% 0.59/0.83 ; Retrieved 3,161 instance terms in 525 calls.
% 0.59/0.83 ; Retrieved 11,009 unifiable terms in 623 calls.
% 0.59/0.83 ;
% 0.59/0.83 ; The agenda of backward simplifiable rows to process has 10 entries:
% 0.59/0.83 ; 10 with value 0
% 0.59/0.83 ; The agenda of rows to process has 154 entries:
% 0.59/0.83 ; 12 with value 25 10 with value 31 1 with value 36
% 0.59/0.83 ; 7 with value 26 15 with value 32 19 with value 37
% 0.59/0.83 ; 2 with value 27 21 with value 33 1 with value 40
% 0.59/0.83 ; 7 with value 28 13 with value 34 1 with value 44
% 0.59/0.83 ; 34 with value 30 11 with value 35
% 0.59/0.83 ; The agenda of rows to give has 384 entries:
% 0.59/0.83 ; 1 with value (4 21) 50 with value (4 30) 2 with value (4 38)
% 0.59/0.83 ; 1 with value (4 23) 42 with value (4 31) 19 with value (4 39)
% 0.59/0.83 ; 1 with value (4 24) 40 with value (4 32) 1 with value (4 40)
% 0.59/0.83 ; 5 with value (4 25) 25 with value (4 33) 2 with value (4 41)
% 0.59/0.83 ; 27 with value (4 26) 31 with value (4 34) 2 with value (4 43)
% 0.59/0.83 ; 47 with value (4 27) 13 with value (4 35) 3 with value (4 48)
% 0.59/0.83 ; 16 with value (4 28) 17 with value (4 36) 1 with value (4 54)
% 0.59/0.83 ; 29 with value (4 29) 9 with value (4 37)
% 0.59/0.83 Evaluation took:
% 0.59/0.83 0.363 seconds of real time
% 0.59/0.83 0.326693 seconds of user run time
% 0.59/0.83 0.036653 seconds of system run time
% 0.59/0.83 [Run times include 0.007 seconds GC run time.]
% 0.59/0.83 0 calls to %EVAL
% 0.59/0.83 0 page faults and
% 0.59/0.83 24,244,064 bytes consed.
% 0.59/0.83 :PROOF-FOUND
% 0.59/0.83 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-30T04:57:42
% 0.59/0.83 :PROOF-FOUND
% 0.59/0.83 *
%------------------------------------------------------------------------------