TSTP Solution File: LAT005-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LAT005-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n012.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 06:41:46 EDT 2022
% Result : Unsatisfiable 0.60s 0.82s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 14
% Syntax : Number of clauses : 24 ( 21 unt; 0 nHn; 22 RR)
% Number of literals : 32 ( 0 equ; 10 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 11 con; 0-0 aty)
% Number of variables : 17 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(join_0_and_x,axiom,
join(n0,X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',join_0_and_x) ).
cnf(meet_0_and_x,axiom,
meet(n0,X,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meet_0_and_x) ).
cnf(absorbtion2,axiom,
( ~ join(X,Y,Z)
| meet(X,Z,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',absorbtion2) ).
cnf(associativity_of_meet1,axiom,
( ~ meet(X,Y,Z)
| ~ meet(Y,U,V)
| ~ meet(X,V,W)
| meet(Z,U,W) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_meet1) ).
cnf(modularity2,axiom,
( ~ meet(X,Y,X)
| ~ join(X,Z,U)
| ~ meet(Z,Y,V)
| ~ join(X,V,W)
| meet(Y,U,W) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',modularity2) ).
cnf(meet_a_and_b,negated_conjecture,
meet(a,b,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meet_a_and_b) ).
cnf(meet_c_and_r2,negated_conjecture,
meet(c,r2,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meet_c_and_r2) ).
cnf(meet_r2_and_b,negated_conjecture,
meet(r2,b,e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meet_r2_and_b) ).
cnf(join_a_and_b,negated_conjecture,
join(a,b,c2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',join_a_and_b) ).
cnf(meet_c2_and_r1,negated_conjecture,
meet(c2,r1,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meet_c2_and_r1) ).
cnf(meet_r2_and_a,negated_conjecture,
meet(r2,a,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meet_r2_and_a) ).
cnf(join_r1_and_e,negated_conjecture,
join(r1,e,a2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',join_r1_and_e) ).
cnf(join_r1_and_d,negated_conjecture,
join(r1,d,b2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',join_r1_and_d) ).
cnf(meet_a2_and_b2,negated_conjecture,
~ meet(a2,b2,r1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meet_a2_and_b2) ).
cnf(30,plain,
meet(r1,b2,r1),
inference('HYPERRESOLVE',[status(thm)],[absorbtion2,join_r1_and_d]) ).
cnf(34,plain,
meet(a,c2,a),
inference('HYPERRESOLVE',[status(thm)],[absorbtion2,join_a_and_b]) ).
cnf(35,plain,
meet(b,c2,b),
inference('HYPERRESOLVE',[status(thm)],[absorbtion2,join_a_and_b]) ).
cnf(36,plain,
meet(d,b,n0),
inference('HYPERRESOLVE',[status(thm)],[associativity_of_meet1,meet_r2_and_a,meet_a_and_b,meet_c_and_r2]) ).
cnf(66,plain,
~ meet(e,b2,n0),
inference('UR-RESOLVE',[status(thm)],[modularity2,30,join_r1_and_e,join_0_and_x,meet_a2_and_b2]) ).
cnf(79,plain,
meet(d,c2,d),
inference('HYPERRESOLVE',[status(thm)],[associativity_of_meet1,34,meet_r2_and_a,meet_r2_and_a]) ).
cnf(81,plain,
meet(e,c2,e),
inference('HYPERRESOLVE',[status(thm)],[associativity_of_meet1,35,meet_r2_and_b,meet_r2_and_b]) ).
cnf(82,plain,
meet(e,d,n0),
inference('HYPERRESOLVE',[status(thm)],[associativity_of_meet1,36,meet_r2_and_b,meet_0_and_x]) ).
cnf(229,plain,
meet(c2,b2,d),
inference('HYPERRESOLVE',[status(thm)],[modularity2,79,join_r1_and_d,meet_c2_and_r1,join_0_and_x]) ).
cnf(245,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[associativity_of_meet1,82,81,66]),229]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LAT005-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n012.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 03:11:18 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 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 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 2022-06-30T03:11:18
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n012.cluster.edu at 2022-06-30T03:11:18
% 0.19/0.48
% 0.19/0.48 ; Recognized possible left identity assertion (|join| |n0| ?X ?X).
% 0.19/0.48 ; Recognized possible left identity assertion (|meet| |n1| ?X ?X).
% 0.19/0.48 ; Recognized commutativity assertion (OR (NOT (|meet| ?X ?Y ?Z)) (|meet| ?Y ?X ?Z)).
% 0.19/0.48 ; Recognized commutativity assertion (OR (NOT (|join| ?X ?Y ?Z)) (|join| ?Y ?X ?Z)).
% 0.19/0.48 ; Recognized possible associativity assertion (OR (NOT (|meet| ?X ?Y ?Z)) (NOT (|meet| ?Y ?U ?V)) (NOT (|meet| ?X ?V ?W)) (|meet| ?Z ?U ?W)).
% 0.19/0.48 ; Recognized possible associativity assertion (OR (NOT (|meet| ?X ?Y ?Z)) (NOT (|meet| ?Y ?U ?V)) (NOT (|meet| ?Z ?U ?W)) (|meet| ?X ?V ?W)).
% 0.19/0.48 ; Recognized possible associativity assertion (OR (NOT (|join| ?X ?Y ?Z)) (NOT (|join| ?Y ?U ?V)) (NOT (|join| ?X ?V ?W)) (|join| ?Z ?U ?W)).
% 0.19/0.48 ; Recognized possible associativity assertion (OR (NOT (|join| ?X ?Y ?Z)) (NOT (|join| ?Y ?U ?V)) (NOT (|join| ?Z ?U ?W)) (|join| ?X ?V ?W)).
% 0.19/0.48 ; Declaring join to be commutative.
% 0.60/0.82 ; Declaring meet to be commutative.
% 0.60/0.82
% 0.60/0.82 #||
% 0.60/0.82 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.60/0.82 % SZS output start Refutation
% See solution above
% 0.60/0.82 ||#
% 0.60/0.82
% 0.60/0.82 ; Summary of computation:
% 0.60/0.82 ; 6867 formulas have been input or derived (from 80 formulas).
% 0.60/0.82 ; 245 ( 4%) were retained. Of these,
% 0.60/0.82 ; 32 (13%) were simplified or subsumed later,
% 0.60/0.82 ; 213 (87%) are still being kept.
% 0.60/0.82 ;
% 0.60/0.82 ; Run time in seconds excluding printing time:
% 0.60/0.82 ; 0.005 1% Read assertion file (1 call)
% 0.60/0.82 ; 0.001 0% Assert (29 calls)
% 0.60/0.82 ; 0.020 6% Process new row (5,089 calls)
% 0.60/0.82 ; 0.245 70% Resolution (158 calls)
% 0.60/0.82 ; 0.000 0% Paramodulation (79 calls)
% 0.60/0.82 ; 0.003 1% Condensing (10 calls)
% 0.60/0.82 ; 0.000 0% Forward subsumption (10 calls)
% 0.60/0.82 ; 0.000 0% Backward subsumption (6 calls)
% 0.60/0.82 ; 0.001 0% Clause clause subsumption (6 calls)
% 0.60/0.82 ; 0.024 7% Forward simplification (4,988 calls)
% 0.60/0.82 ; 0.002 1% Backward simplification (245 calls)
% 0.60/0.82 ; 0.000 0% Sortal reasoning (32 calls)
% 0.60/0.82 ; 0.000 0% Purity testing (1 call)
% 0.60/0.82 ; 0.047 14% Other
% 0.60/0.82 ; 0.348 Total
% 0.60/0.82 ; 0.349 Real time
% 0.60/0.82 ;
% 0.60/0.82 ; Term-hash-array has 252 terms in all.
% 0.60/0.82 ; Feature-vector-row-index has 6 entries (6 at peak, 6 added, 0 deleted).
% 0.60/0.82 ; Feature-vector-row-index has 13 nodes (13 at peak, 13 added, 0 deleted).
% 0.60/0.82 ; Retrieved 8 possibly forward subsuming rows in 10 calls.
% 0.60/0.82 ; Retrieved 0 possibly backward subsumed rows in 6 calls.
% 0.60/0.82 ; Path-index has 232 entries (232 at peak, 264 added, 32 deleted).
% 0.60/0.82 ; Path-index has 68 nodes (68 at peak, 68 added, 0 deleted).
% 0.60/0.82 ; Trie-index has 232 entries (232 at peak, 264 added, 32 deleted).
% 0.60/0.82 ; Trie-index has 353 nodes (353 at peak, 403 added, 50 deleted).
% 0.60/0.82 ; Retrieved 5,524 generalization terms in 5,014 calls.
% 0.60/0.82 ; Retrieved 322 instance terms in 238 calls.
% 0.60/0.82 ; Retrieved 193,407 unifiable terms in 31,153 calls.
% 0.60/0.82 ;
% 0.60/0.82 ; The agenda of rows to process has 42 entries:
% 0.60/0.82 ; 42 with value 8
% 0.60/0.82 ; The agenda of rows to give has 138 entries:
% 0.60/0.82 ; 3 with value (4 7) 135 with value (4 8)
% 0.60/0.82 Evaluation took:
% 0.60/0.82 0.349 seconds of real time
% 0.60/0.82 0.317013 seconds of user run time
% 0.60/0.82 0.032856 seconds of system run time
% 0.60/0.82 [Run times include 0.004 seconds GC run time.]
% 0.60/0.82 0 calls to %EVAL
% 0.60/0.82 0 page faults and
% 0.60/0.82 22,168,040 bytes consed.
% 0.60/0.82 :PROOF-FOUND
% 0.60/0.82 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-30T03:11:18
% 0.60/0.82 :PROOF-FOUND
% 0.60/0.82 *
%------------------------------------------------------------------------------