TSTP Solution File: LAT089-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LAT089-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n010.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 06:42:14 EDT 2022
% Result : Unsatisfiable 0.37s 0.58s
% Output : Refutation 0.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 6
% Syntax : Number of clauses : 47 ( 47 unt; 0 nHn; 2 RR)
% Number of literals : 47 ( 46 equ; 1 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 : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 87 ( 24 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(wal_absorbtion_1,axiom,
join(meet(X,Y),meet(X,join(X,Y))) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wal_absorbtion_1) ).
cnf(wal_absorbtion_2,axiom,
join(meet(X,X),meet(Y,join(X,X))) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wal_absorbtion_2) ).
cnf(wal_absorbtion_3,axiom,
join(meet(X,Y),meet(Y,join(X,Y))) = Y,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wal_absorbtion_3) ).
cnf(wal_absorbtion_4,axiom,
meet(meet(join(X,Y),join(Z,X)),X) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wal_absorbtion_4) ).
cnf(wal_absorbtion_5,axiom,
join(join(meet(X,Y),meet(Z,X)),X) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wal_absorbtion_5) ).
cnf(prove_normal_axioms_2,negated_conjecture,
meet(b,a) != meet(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_normal_axioms_2) ).
cnf(13,plain,
join(meet(X,X),join(X,X)) = X,
inference('PARAMODULATE',[status(thm)],[wal_absorbtion_2,wal_absorbtion_4,theory(equality)]) ).
cnf(15,plain,
meet(meet(X,join(Y,meet(Z,X))),meet(Z,X)) = meet(Z,X),
inference('PARAMODULATE',[status(thm)],[wal_absorbtion_4,wal_absorbtion_3,theory(equality)]) ).
cnf(16,plain,
join(X,meet(X,join(meet(join(X,Y),join(Z,X)),X))) = X,
inference('PARAMODULATE',[status(thm)],[wal_absorbtion_3,wal_absorbtion_4,theory(equality)]) ).
cnf(21,plain,
meet(meet(join(X,Y),X),X) = X,
inference('PARAMODULATE',[status(thm)],[wal_absorbtion_4,wal_absorbtion_5,theory(equality)]) ).
cnf(22,plain,
join(join(meet(X,Y),X),X) = X,
inference('PARAMODULATE',[status(thm)],[wal_absorbtion_5,wal_absorbtion_4,theory(equality)]) ).
cnf(28,plain,
join(meet(meet(X,X),join(X,X)),meet(join(X,X),X)) = join(X,X),
inference('PARAMODULATE',[status(thm)],[wal_absorbtion_3,13,theory(equality)]) ).
cnf(29,plain,
join(meet(meet(X,X),join(X,X)),meet(meet(X,X),X)) = meet(X,X),
inference('PARAMODULATE',[status(thm)],[wal_absorbtion_1,13,theory(equality)]) ).
cnf(30,plain,
meet(meet(X,meet(X,Y)),meet(X,Y)) = meet(X,Y),
inference('PARAMODULATE',[status(thm)],[21,wal_absorbtion_1,theory(equality)]) ).
cnf(38,plain,
join(join(X,meet(join(X,Y),X)),meet(join(X,Y),X)) = meet(join(X,Y),X),
inference('PARAMODULATE',[status(thm)],[22,21,theory(equality)]) ).
cnf(39,plain,
join(meet(join(meet(X,Y),X),X),meet(join(meet(X,Y),X),X)) = join(meet(X,Y),X),
inference('PARAMODULATE',[status(thm)],[wal_absorbtion_1,22,theory(equality)]) ).
cnf(42,plain,
meet(X,X) = X,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[30,21,theory(equality)]),21,theory(equality)]) ).
cnf(43,plain,
join(X,meet(Y,join(X,X))) = X,
inference('REWRITE',[status(thm)],[wal_absorbtion_2,42,theory(equality)]) ).
cnf(48,plain,
join(meet(X,join(X,X)),meet(join(X,X),X)) = join(X,X),
inference('REWRITE',[status(thm)],[28,42,theory(equality)]) ).
cnf(49,plain,
join(meet(X,join(X,X)),X) = X,
inference('REWRITE',[status(thm)],[29,42,theory(equality)]) ).
cnf(51,plain,
join(join(meet(X,Y),meet(X,meet(X,Y))),meet(X,meet(X,Y))) = meet(X,meet(X,Y)),
inference('PARAMODULATE',[status(thm)],[22,30,theory(equality)]) ).
cnf(55,plain,
meet(meet(X,join(Y,X)),X) = X,
inference('PARAMODULATE',[status(thm)],[wal_absorbtion_4,43,theory(equality)]) ).
cnf(58,plain,
meet(join(X,X),X) = X,
inference('PARAMODULATE',[status(thm)],[wal_absorbtion_4,42,theory(equality)]) ).
cnf(59,plain,
X = join(X,X),
inference('REWRITE',[status(thm)],[48,49,58,theory(equality)]) ).
cnf(60,plain,
meet(join(meet(X,Y),X),X) = join(meet(X,Y),X),
inference('REWRITE',[status(thm)],[39,59,theory(equality)]) ).
cnf(63,plain,
join(X,meet(Y,X)) = X,
inference('REWRITE',[status(thm)],[43,59,theory(equality)]) ).
cnf(64,plain,
meet(X,Y) = meet(X,meet(X,Y)),
inference('REWRITE',[status(thm)],[51,63,theory(equality)]) ).
cnf(65,plain,
X = meet(join(X,Y),X),
inference('REWRITE',[status(thm)],[38,63,theory(equality)]) ).
cnf(68,plain,
meet(X,Y) = meet(Y,meet(X,Y)),
inference('PARAMODULATE',[status(thm)],[65,wal_absorbtion_3,theory(equality)]) ).
cnf(71,plain,
join(X,meet(X,join(join(X,Y),X))) = X,
inference('PARAMODULATE',[status(thm)],[wal_absorbtion_3,65,theory(equality)]) ).
cnf(73,plain,
join(meet(X,Y),X) = meet(X,join(meet(X,Y),X)),
inference('PARAMODULATE',[status(thm)],[65,22,theory(equality)]) ).
cnf(83,plain,
join(X,meet(meet(X,join(Y,X)),join(meet(X,join(Y,X)),X))) = meet(X,join(Y,X)),
inference('PARAMODULATE',[status(thm)],[wal_absorbtion_1,55,theory(equality)]) ).
cnf(93,plain,
meet(join(X,meet(X,join(Y,X))),meet(X,join(Y,X))) = join(X,meet(X,join(Y,X))),
inference('PARAMODULATE',[status(thm)],[60,55,theory(equality)]) ).
cnf(98,plain,
join(meet(X,join(join(X,Y),X)),X) = X,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[wal_absorbtion_1,71,theory(equality)]),42,64,theory(equality)]) ).
cnf(99,plain,
X = meet(X,join(join(X,Y),X)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[wal_absorbtion_3,71,theory(equality)]),98,55,64,theory(equality)]) ).
cnf(100,plain,
X = meet(join(join(X,Y),X),X),
inference('PARAMODULATE',[status(thm)],[68,99,theory(equality)]) ).
cnf(106,plain,
meet(X,Y) = meet(join(X,meet(X,Y)),meet(X,Y)),
inference('PARAMODULATE',[status(thm)],[100,wal_absorbtion_1,theory(equality)]) ).
cnf(107,plain,
meet(X,join(Y,X)) = join(X,meet(X,join(Y,X))),
inference('REWRITE',[status(thm)],[93,106,theory(equality)]) ).
cnf(108,plain,
meet(X,join(meet(join(X,Y),join(Z,X)),X)) = X,
inference('REWRITE',[status(thm)],[16,107,theory(equality)]) ).
cnf(119,plain,
join(meet(X,join(Y,X)),X) = X,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[108,63,theory(equality)]),73,theory(equality)]) ).
cnf(120,plain,
X = meet(X,join(Y,X)),
inference('REWRITE',[status(thm)],[83,59,55,119,theory(equality)]) ).
cnf(121,plain,
join(meet(X,Y),X) = X,
inference('REWRITE',[status(thm)],[73,120,theory(equality)]) ).
cnf(132,plain,
meet(meet(X,Y),X) = meet(X,Y),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[wal_absorbtion_1,121,theory(equality)]),59,theory(equality)]) ).
cnf(138,plain,
join(X,meet(X,Y)) = X,
inference('PARAMODULATE',[status(thm)],[63,132,theory(equality)]) ).
cnf(192,plain,
meet(meet(X,Y),meet(Y,X)) = meet(Y,X),
inference('PARAMODULATE',[status(thm)],[15,138,theory(equality)]) ).
cnf(202,plain,
meet(X,Y) = meet(Y,X),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[132,192,theory(equality)]),192,theory(equality)]) ).
cnf(203,plain,
$false,
inference('REWRITE',[status(thm)],[prove_normal_axioms_2,202,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LAT089-1 : TPTP v8.1.0. Released v2.6.0.
% 0.06/0.13 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n010.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 : Thu Jun 30 01:43:04 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 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/sandbox/benchmark/theBenchmark.p 2022-06-30T01:43:04
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n010.cluster.edu at 2022-06-30T01:43:04
% 0.37/0.58
% 0.37/0.58
% 0.37/0.58 #||
% 0.37/0.58 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.37/0.58 % SZS output start Refutation
% See solution above
% 0.37/0.59 ||#
% 0.37/0.59
% 0.37/0.59 ; Summary of computation:
% 0.37/0.59 ; 1005 formulas have been input or derived (from 47 formulas).
% 0.37/0.59 ; 203 (20%) were retained. Of these,
% 0.37/0.59 ; 99 (49%) were simplified or subsumed later,
% 0.37/0.59 ; 104 (51%) are still being kept.
% 0.37/0.59 ;
% 0.37/0.59 ; Run time in seconds excluding printing time:
% 0.37/0.59 ; 0.001 1% Read assertion file (1 call)
% 0.37/0.59 ; 0.001 1% Assert (6 calls)
% 0.37/0.59 ; 0.027 23% Process new row (866 calls)
% 0.37/0.59 ; 0.002 2% Resolution (92 calls)
% 0.37/0.59 ; 0.016 14% Paramodulation (46 calls)
% 0.37/0.59 ; 0.019 16% Forward simplification (838 calls)
% 0.37/0.59 ; 0.014 12% Backward simplification (203 calls)
% 0.37/0.59 ; 0.008 7% Ordering (1,629 calls)
% 0.37/0.59 ; 0.000 0% Sortal reasoning (32 calls)
% 0.37/0.59 ; 0.000 0% Purity testing (1 call)
% 0.37/0.59 ; 0.028 24% Other
% 0.37/0.59 ; 0.116 Total
% 0.37/0.59 ; 0.121 Real time
% 0.37/0.59 ;
% 0.37/0.59 ; Term-hash-array has 597 terms in all.
% 0.37/0.59 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.37/0.59 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.37/0.59 ; Path-index has 335 entries (340 at peak, 609 added, 274 deleted).
% 0.37/0.59 ; Path-index has 1,015 nodes (1,025 at peak, 1,300 added, 285 deleted).
% 0.37/0.59 ; Trie-index has 335 entries (340 at peak, 609 added, 274 deleted).
% 0.37/0.59 ; Trie-index has 1,015 nodes (1,125 at peak, 2,569 added, 1,554 deleted).
% 0.37/0.59 ; Retrieved 5,822 generalization terms in 4,253 calls.
% 0.37/0.59 ; Retrieved 919 instance terms in 202 calls.
% 0.37/0.59 ; Retrieved 2,078 unifiable terms in 274 calls.
% 0.37/0.59 ;
% 0.37/0.59 ; The agenda of rows to process has 42 entries:
% 0.37/0.59 ; 6 with value 21 5 with value 26 2 with value 32
% 0.37/0.59 ; 8 with value 24 10 with value 29 4 with value 33
% 0.37/0.59 ; 4 with value 25 1 with value 30 2 with value 40
% 0.37/0.59 ; The agenda of rows to give has 74 entries:
% 0.37/0.59 ; 1 with value (4 16) 6 with value (4 25) 2 with value (4 30)
% 0.37/0.59 ; 10 with value (4 21) 15 with value (4 26) 2 with value (4 34)
% 0.37/0.59 ; 2 with value (4 22) 6 with value (4 27) 4 with value (4 38)
% 0.37/0.59 ; 2 with value (4 23) 2 with value (4 28) 12 with value (4 39)
% 0.37/0.59 ; 2 with value (4 24) 2 with value (4 29) 6 with value (4 42)
% 0.37/0.59 Evaluation took:
% 0.37/0.59 0.121 seconds of real time
% 0.37/0.59 0.108217 seconds of user run time
% 0.37/0.59 0.012921 seconds of system run time
% 0.37/0.59 0 calls to %EVAL
% 0.37/0.59 0 page faults and
% 0.37/0.59 9,344,352 bytes consed.
% 0.37/0.59 :PROOF-FOUND
% 0.37/0.59 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-30T01:43:04
% 0.37/0.59 :PROOF-FOUND
% 0.37/0.59 *
%------------------------------------------------------------------------------