TSTP Solution File: LAT090-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LAT090-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n017.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 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of clauses : 17 ( 17 unt; 0 nHn; 2 RR)
% Number of literals : 17 ( 16 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 : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 24 ( 6 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_3,negated_conjecture,
join(a,a) != a,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_normal_axioms_3) ).
cnf(13,plain,
join(meet(X,X),join(X,X)) = X,
inference('PARAMODULATE',[status(thm)],[wal_absorbtion_2,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(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(42,plain,
meet(X,X) = X,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[30,21,theory(equality)]),21,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(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(68,plain,
$false,
inference('REWRITE',[status(thm)],[prove_normal_axioms_3,59,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : LAT090-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n017.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 10:16:53 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)
% 0.19/0.47 (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 2022-06-30T10:16:53
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n017.cluster.edu at 2022-06-30T10:16:53
% 0.19/0.51
% 0.19/0.51
% 0.19/0.51 #||
% 0.19/0.51 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.51 % SZS output start Refutation
% See solution above
% 0.19/0.51 ||#
% 0.19/0.51
% 0.19/0.51 ; Summary of computation:
% 0.19/0.51 ; 119 formulas have been input or derived (from 13 formulas).
% 0.19/0.51 ; 68 (57%) were retained. Of these,
% 0.19/0.51 ; 34 (50%) were simplified or subsumed later,
% 0.19/0.51 ; 34 (50%) are still being kept.
% 0.19/0.51 ;
% 0.19/0.51 ; Run time in seconds excluding printing time:
% 0.19/0.51 ; 0.001 2% Read assertion file (1 call)
% 0.19/0.51 ; 0.000 0% Assert (6 calls)
% 0.19/0.51 ; 0.007 16% Process new row (113 calls)
% 0.19/0.51 ; 0.001 2% Resolution (24 calls)
% 0.19/0.51 ; 0.003 7% Paramodulation (12 calls)
% 0.19/0.51 ; 0.001 2% Forward simplification (113 calls)
% 0.19/0.51 ; 0.008 18% Backward simplification (68 calls)
% 0.19/0.51 ; 0.000 0% Ordering (238 calls)
% 0.19/0.51 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.51 ; 0.000 0% Purity testing (1 call)
% 0.19/0.51 ; 0.023 52% Other
% 0.19/0.51 ; 0.044 Total
% 0.19/0.51 ; 0.045 Real time
% 0.19/0.51 ;
% 0.19/0.51 ; Term-hash-array has 209 terms in all.
% 0.19/0.51 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.19/0.51 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.19/0.51 ; Path-index has 115 entries (172 at peak, 214 added, 99 deleted).
% 0.19/0.51 ; Path-index has 563 nodes (617 at peak, 637 added, 74 deleted).
% 0.19/0.51 ; Trie-index has 115 entries (172 at peak, 214 added, 99 deleted).
% 0.19/0.51 ; Trie-index has 612 nodes (917 at peak, 1,043 added, 431 deleted).
% 0.19/0.51 ; Retrieved 240 generalization terms in 585 calls.
% 0.19/0.51 ; Retrieved 326 instance terms in 67 calls.
% 0.19/0.51 ; Retrieved 315 unifiable terms in 74 calls.
% 0.19/0.51 ;
% 0.19/0.51 ; The agenda of rows to process has 4 entries:
% 0.19/0.51 ; 1 with value 14 3 with value 17
% 0.19/0.51 ; The agenda of input rows to give has 1 entry:
% 0.19/0.51 ; 1 with value 10
% 0.19/0.51 ; The agenda of rows to give has 26 entries:
% 0.19/0.51 ; 1 with value (4 9) 1 with value (4 20) 1 with value (4 26)
% 0.19/0.51 ; 1 with value (4 12) 3 with value (4 21) 2 with value (4 28)
% 0.19/0.51 ; 2 with value (4 14) 2 with value (4 22) 2 with value (4 29)
% 0.19/0.51 ; 1 with value (4 15) 1 with value (4 23) 2 with value (4 32)
% 0.19/0.51 ; 2 with value (4 19) 2 with value (4 25) 3 with value (4 34)
% 0.19/0.51 Evaluation took:
% 0.19/0.51 0.046 seconds of real time
% 0.19/0.51 0.039067 seconds of user run time
% 0.19/0.51 0.006862 seconds of system run time
% 0.19/0.51 0 calls to %EVAL
% 0.19/0.51 0 page faults and
% 0.19/0.51 3,296,480 bytes consed.
% 0.19/0.51 :PROOF-FOUND
% 0.19/0.51 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-30T10:16:53
% 0.19/0.51 :PROOF-FOUND
% 0.19/0.51 *
%------------------------------------------------------------------------------