TSTP Solution File: LAT037-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LAT037-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n026.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 06:41:58 EDT 2022
% Result : Unsatisfiable 1.82s 2.07s
% Output : Refutation 1.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 8
% Syntax : Number of clauses : 12 ( 12 unt; 0 nHn; 7 RR)
% Number of literals : 12 ( 11 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 7 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(dist_meet,hypothesis,
meet(X,join(Y,Z)) = join(meet(X,Y),meet(X,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dist_meet) ).
cnf(x_join_0,axiom,
join(X,n0) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x_join_0) ).
cnf(x_meet_1,axiom,
meet(X,n1) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x_meet_1) ).
cnf(lhs1,axiom,
join(xx,yy) = n1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lhs1) ).
cnf(lhs2,axiom,
join(xx,zz) = n1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lhs2) ).
cnf(lhs3,axiom,
meet(xx,yy) = n0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lhs3) ).
cnf(lhs4,axiom,
meet(xx,zz) = n0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lhs4) ).
cnf(rhs,negated_conjecture,
yy != zz,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rhs) ).
cnf(30,plain,
X = join(meet(X,xx),meet(X,zz)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[dist_meet,lhs2,theory(equality)]),x_meet_1,theory(equality)]) ).
cnf(32,plain,
X = join(meet(X,xx),meet(X,yy)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[dist_meet,lhs1,theory(equality)]),x_meet_1,theory(equality)]) ).
cnf(44,plain,
yy = meet(yy,zz),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[30,lhs3,theory(equality)]),x_join_0,theory(equality)]) ).
cnf(66,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[32,lhs4,theory(equality)]),rhs,x_join_0,44,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : LAT037-1 : TPTP v8.1.0. Released v2.4.0.
% 0.00/0.09 % Command : run-snark %s %d
% 0.09/0.29 % Computer : n026.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 600
% 0.09/0.29 % DateTime : Thu Jun 30 13:21:19 EDT 2022
% 0.09/0.29 % CPUTime :
% 0.14/0.37 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.38 *
% 0.14/0.38 *
% 0.14/0.39 #<PACKAGE "SNARK-USER">
% 0.14/0.39 *
% 0.14/0.39 SNARK-TPTP-OPTIONS
% 0.14/0.39 *
% 0.14/0.39 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.14/0.39 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.14/0.39 (USE-FACTORING :POS)
% 0.14/0.39 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.14/0.39 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.14/0.39 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.14/0.39 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.14/0.39 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.14/0.39 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.14/0.39 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.14/0.39 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.14/0.39 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.14/0.39 (DECLARE-TPTP-SYMBOLS2))
% 0.14/0.39 *
% 0.14/0.39 "."
% 0.14/0.39 *
% 0.14/0.39 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-30T13:21:19
% 0.14/0.39 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-06-30T13:21:19
% 0.14/0.40
% 0.14/0.40 ; Recognized commutativity assertion (= (|meet| ?X ?Y) (|meet| ?Y ?X)).
% 0.14/0.40 ; Recognized commutativity assertion (= (|join| ?X ?Y) (|join| ?Y ?X)).
% 0.14/0.40 ; Recognized associativity assertion (= (|meet| (|meet| ?X ?Y) ?Z) (|meet| ?X (|meet| ?Y ?Z))).
% 0.14/0.40 ; Recognized associativity assertion (= (|join| (|join| ?X ?Y) ?Z) (|join| ?X (|join| ?Y ?Z))).
% 0.14/0.40 ; Recognized right identity assertion (= (|join| ?X |n0|) ?X).
% 0.14/0.40 ; Recognized right identity assertion (= (|meet| ?X |n1|) ?X).
% 0.14/0.40 ; Declaring meet to be commutative.
% 0.14/0.40 ; Declaring meet to be associative-commutative.
% 0.14/0.40 ; Declaring join to be commutative.
% 1.82/2.07 ; Declaring join to be associative-commutative.
% 1.82/2.07
% 1.82/2.07 #||
% 1.82/2.07 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.82/2.07 % SZS output start Refutation
% See solution above
% 1.91/2.07 ||#
% 1.91/2.07
% 1.91/2.07 ; Summary of computation:
% 1.91/2.07 ; 1147 formulas have been input or derived (from 32 formulas).
% 1.91/2.07 ; 66 ( 6%) were retained. Of these,
% 1.91/2.07 ; 7 (11%) were simplified or subsumed later,
% 1.91/2.07 ; 59 (89%) are still being kept.
% 1.91/2.07 ;
% 1.91/2.07 ; Run time in seconds excluding printing time:
% 1.91/2.07 ; 0.003 0% Read assertion file (1 call)
% 1.91/2.07 ; 0.001 0% Assert (20 calls)
% 1.91/2.07 ; 0.011 1% Process new row (1,077 calls)
% 1.91/2.07 ; 0.000 0% Resolution (62 calls)
% 1.91/2.07 ; 0.035 2% Paramodulation (31 calls)
% 1.91/2.07 ; 0.001 0% Embedding (25 calls)
% 1.91/2.07 ; 1.163 69% Condensing (66 calls)
% 1.91/2.07 ; 0.009 1% Forward subsumption (66 calls)
% 1.91/2.07 ; 0.000 0% Backward subsumption (15 calls)
% 1.91/2.07 ; 0.050 3% Clause clause subsumption (54 calls)
% 1.91/2.07 ; 0.387 23% Forward simplification (1,054 calls)
% 1.91/2.07 ; 0.002 0% Backward simplification (42 calls)
% 1.91/2.07 ; 0.001 0% Ordering (596 calls)
% 1.91/2.07 ; 0.000 0% Ordering ac (324 calls)
% 1.91/2.07 ; 0.000 0% Sortal reasoning (32 calls)
% 1.91/2.07 ; 0.000 0% Purity testing (1 call)
% 1.91/2.07 ; 0.022 1% Other
% 1.91/2.07 ; 1.685 Total
% 1.91/2.07 ; 1.687 Real time
% 1.91/2.07 ;
% 1.91/2.07 ; Term-hash-array has 174 terms in all.
% 1.91/2.07 ; Feature-vector-row-index has 13 entries (13 at peak, 15 added, 2 deleted).
% 1.91/2.07 ; Feature-vector-row-index has 132 nodes (137 at peak, 148 added, 16 deleted).
% 1.91/2.07 ; Retrieved 58 possibly forward subsuming rows in 66 calls.
% 1.91/2.07 ; Retrieved 0 possibly backward subsumed rows in 15 calls.
% 1.91/2.07 ; Path-index has 168 entries (168 at peak, 182 added, 14 deleted).
% 1.91/2.07 ; Path-index has 59 nodes (59 at peak, 61 added, 2 deleted).
% 1.91/2.07 ; Trie-index has 168 entries (168 at peak, 182 added, 14 deleted).
% 1.91/2.07 ; Trie-index has 30 nodes (30 at peak, 32 added, 2 deleted).
% 1.91/2.07 ; Retrieved 46,364 generalization terms in 8,747 calls.
% 1.91/2.07 ; Retrieved 45 instance terms in 26 calls.
% 1.91/2.07 ; Retrieved 952 unifiable terms in 161 calls.
% 1.91/2.07 ;
% 1.91/2.07 ; The agenda of rows to process has 51 entries:
% 1.91/2.07 ; 7 with value 12 1 with value 20 2 with value 28
% 1.91/2.07 ; 1 with value 13 4 with value 22 4 with value 30
% 1.91/2.07 ; 2 with value 16 2 with value 23 2 with value 31
% 1.91/2.07 ; 14 with value 18 5 with value 24 2 with value 36
% 1.91/2.07 ; 2 with value 19 1 with value 25 2 with value 38
% 1.91/2.07 ; The agenda of rows to give has 27 entries:
% 1.91/2.07 ; 3 with value (4 13) 2 with value (4 19) 1 with value (4 37)
% 1.91/2.07 ; 6 with value (4 14) 8 with value (4 22) 1 with value (4 38)
% 1.91/2.08 ; 4 with value (4 17) 1 with value (4 30) 1 with value (4 41)
% 1.91/2.08 Evaluation took:
% 1.91/2.08 1.688 seconds of real time
% 1.91/2.08 1.669468 seconds of user run time
% 1.91/2.08 0.017322 seconds of system run time
% 1.91/2.08 [Run times include 0.03 seconds GC run time.]
% 1.91/2.08 0 calls to %EVAL
% 1.91/2.08 0 page faults and
% 1.91/2.08 122,857,760 bytes consed.
% 1.91/2.08 :PROOF-FOUND
% 1.91/2.08 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-30T13:21:20
% 1.91/2.08 :PROOF-FOUND
% 1.91/2.08 *
%------------------------------------------------------------------------------