TSTP Solution File: LAT008-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LAT008-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n013.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 06:41:48 EDT 2022
% Result : Unsatisfiable 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of clauses : 13 ( 13 unt; 0 nHn; 2 RR)
% Number of literals : 13 ( 12 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 : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 22 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(absorption,axiom,
meet(X,join(X,Y)) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',absorption) ).
cnf(distribution,axiom,
meet(X,join(Y,Z)) = join(meet(Z,X),meet(Y,X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distribution) ).
cnf(prove_absorbtion_dual,negated_conjecture,
join(a,meet(a,b)) != a,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_absorbtion_dual) ).
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(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(18,plain,
X = join(X,meet(Y,X)),
inference('REWRITE',[status(thm)],[11,15,theory(equality)]) ).
cnf(21,plain,
join(meet(X,Y),Y) = Y,
inference('REWRITE',[status(thm)],[4,15,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(30,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[prove_absorbtion_dual,26,theory(equality)]),18,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LAT008-1 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n013.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 06:18:14 EDT 2022
% 0.13/0.34 % 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 *
% 0.19/0.47 ((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 2022-06-30T06:18:14
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n013.cluster.edu at 2022-06-30T06:18:14
% 0.19/0.50
% 0.19/0.50
% 0.19/0.50 #||
% 0.19/0.50 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.50 % SZS output start Refutation
% See solution above
% 0.19/0.50 ||#
% 0.19/0.50
% 0.19/0.50 ; Summary of computation:
% 0.19/0.50 ; 83 formulas have been input or derived (from 13 formulas).
% 0.19/0.50 ; 30 (36%) were retained. Of these,
% 0.19/0.50 ; 10 (33%) were simplified or subsumed later,
% 0.19/0.50 ; 20 (67%) are still being kept.
% 0.19/0.50 ;
% 0.19/0.50 ; Run time in seconds excluding printing time:
% 0.19/0.50 ; 0.001 3% Read assertion file (1 call)
% 0.19/0.50 ; 0.000 0% Assert (3 calls)
% 0.19/0.50 ; 0.002 6% Process new row (71 calls)
% 0.19/0.50 ; 0.000 0% Resolution (24 calls)
% 0.19/0.50 ; 0.002 6% Paramodulation (12 calls)
% 0.19/0.50 ; 0.003 9% Forward simplification (65 calls)
% 0.19/0.50 ; 0.002 6% Backward simplification (30 calls)
% 0.19/0.50 ; 0.002 6% Ordering (161 calls)
% 0.19/0.50 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.50 ; 0.000 0% Purity testing (1 call)
% 0.19/0.50 ; 0.022 65% Other
% 0.19/0.50 ; 0.034 Total
% 0.19/0.50 ; 0.035 Real time
% 0.19/0.50 ;
% 0.19/0.50 ; Term-hash-array has 104 terms in all.
% 0.19/0.50 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.19/0.50 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.19/0.50 ; Path-index has 73 entries (73 at peak, 129 added, 56 deleted).
% 0.19/0.50 ; Path-index has 380 nodes (382 at peak, 495 added, 115 deleted).
% 0.19/0.50 ; Trie-index has 73 entries (73 at peak, 129 added, 56 deleted).
% 0.19/0.50 ; Trie-index has 324 nodes (324 at peak, 598 added, 274 deleted).
% 0.19/0.50 ; Retrieved 224 generalization terms in 368 calls.
% 0.19/0.50 ; Retrieved 142 instance terms in 31 calls.
% 0.19/0.50 ; Retrieved 272 unifiable terms in 65 calls.
% 0.19/0.50 ;
% 0.19/0.50 ; The agenda of rows to process has 10 entries:
% 0.19/0.50 ; 5 with value 17 4 with value 19 1 with value 23
% 0.19/0.50 ; The agenda of rows to give has 10 entries:
% 0.19/0.50 ; 1 with value (4 16) 1 with value (4 21) 1 with value (4 30)
% 0.19/0.50 ; 1 with value (4 18) 1 with value (4 23) 1 with value (4 32)
% 0.19/0.50 ; 2 with value (4 20) 1 with value (4 26) 1 with value (4 39)
% 0.19/0.50 Evaluation took:
% 0.19/0.50 0.036 seconds of real time
% 0.19/0.50 0.033029 seconds of user run time
% 0.19/0.50 0.003058 seconds of system run time
% 0.19/0.50 0 calls to %EVAL
% 0.19/0.50 0 page faults and
% 0.19/0.50 2,538,064 bytes consed.
% 0.19/0.50 :PROOF-FOUND
% 0.19/0.50 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-30T06:18:14
% 0.19/0.50 :PROOF-FOUND
% 0.19/0.50 *
%------------------------------------------------------------------------------