TSTP Solution File: LAT005-5 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LAT005-5 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n032.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 06:41:47 EDT 2022
% Result : Unsatisfiable 1.16s 1.36s
% Output : Refutation 1.20s
% 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/sandbox2/benchmark/Axioms/LAT002-0.ax',join_0_and_x) ).
cnf(meet_0_and_x,axiom,
meet(n0,X,n0),
file('/export/starexec/sandbox2/benchmark/Axioms/LAT002-0.ax',meet_0_and_x) ).
cnf(absorbtion2,axiom,
( ~ join(X,Y,Z)
| meet(X,Z,X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LAT002-0.ax',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/sandbox2/benchmark/Axioms/LAT002-0.ax',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/sandbox2/benchmark/Axioms/LAT002-0.ax',modularity2) ).
cnf(meet_a_and_b,negated_conjecture,
meet(a,b,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meet_a_and_b) ).
cnf(meet_c_and_r2,negated_conjecture,
meet(c,r2,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meet_c_and_r2) ).
cnf(meet_r2_and_b,negated_conjecture,
meet(r2,b,e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meet_r2_and_b) ).
cnf(join_a_and_b,negated_conjecture,
join(a,b,c2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',join_a_and_b) ).
cnf(meet_c2_and_r1,negated_conjecture,
meet(c2,r1,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meet_c2_and_r1) ).
cnf(meet_r2_and_a,negated_conjecture,
meet(r2,a,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meet_r2_and_a) ).
cnf(join_r1_and_e,negated_conjecture,
join(r1,e,a2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',join_r1_and_e) ).
cnf(join_r1_and_d,negated_conjecture,
join(r1,d,b2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',join_r1_and_d) ).
cnf(meet_a2_and_b2,negated_conjecture,
~ meet(a2,b2,r1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meet_a2_and_b2) ).
cnf(35,plain,
meet(r1,b2,r1),
inference('HYPERRESOLVE',[status(thm)],[absorbtion2,join_r1_and_d]) ).
cnf(39,plain,
meet(a,c2,a),
inference('HYPERRESOLVE',[status(thm)],[absorbtion2,join_a_and_b]) ).
cnf(40,plain,
meet(b,c2,b),
inference('HYPERRESOLVE',[status(thm)],[absorbtion2,join_a_and_b]) ).
cnf(72,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(247,plain,
~ meet(e,b2,n0),
inference('UR-RESOLVE',[status(thm)],[modularity2,35,join_r1_and_e,join_0_and_x,meet_a2_and_b2]) ).
cnf(327,plain,
meet(d,c2,d),
inference('HYPERRESOLVE',[status(thm)],[associativity_of_meet1,39,meet_r2_and_a,meet_r2_and_a]) ).
cnf(352,plain,
meet(e,c2,e),
inference('HYPERRESOLVE',[status(thm)],[associativity_of_meet1,40,meet_r2_and_b,meet_r2_and_b]) ).
cnf(372,plain,
meet(e,d,n0),
inference('HYPERRESOLVE',[status(thm)],[associativity_of_meet1,72,meet_r2_and_b,meet_0_and_x]) ).
cnf(828,plain,
meet(c2,b2,d),
inference('HYPERRESOLVE',[status(thm)],[modularity2,327,join_r1_and_d,meet_c2_and_r1,join_0_and_x]) ).
cnf(892,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[associativity_of_meet1,372,352,247]),828]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : LAT005-5 : TPTP v8.1.0. Released v1.1.0.
% 0.06/0.11 % Command : run-snark %s %d
% 0.10/0.30 % Computer : n032.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 600
% 0.10/0.30 % DateTime : Wed Jun 29 10:06:43 EDT 2022
% 0.10/0.30 % CPUTime :
% 0.15/0.40 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.40 *
% 0.15/0.40 *
% 0.15/0.41 #<PACKAGE "SNARK-USER">
% 0.15/0.41 *
% 0.15/0.41 SNARK-TPTP-OPTIONS
% 0.15/0.41 *
% 0.15/0.41 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.15/0.41 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.15/0.41 (USE-FACTORING :POS)
% 0.15/0.41 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.15/0.41 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.15/0.41 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.15/0.41 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.15/0.41 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.15/0.41 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.15/0.41 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.15/0.41 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.15/0.41 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.15/0.41 (DECLARE-TPTP-SYMBOLS2))
% 0.15/0.41 *
% 0.15/0.41 "."
% 0.15/0.41 *
% 0.15/0.41 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-29T10:06:43
% 0.15/0.41 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n032.cluster.edu at 2022-06-29T10:06:43
% 0.15/0.42
% 0.15/0.42 ; Recognized possible left identity assertion (|join| |n0| ?X ?X).
% 0.15/0.42 ; Recognized possible left identity assertion (|meet| |n1| ?X ?X).
% 0.15/0.42 ; Recognized commutativity assertion (OR (NOT (|meet| ?X ?Y ?Z)) (|meet| ?Y ?X ?Z)).
% 0.15/0.42 ; Recognized commutativity assertion (OR (NOT (|join| ?X ?Y ?Z)) (|join| ?Y ?X ?Z)).
% 0.15/0.42 ; Recognized possible associativity assertion (OR (NOT (|meet| ?X ?Y ?Z)) (NOT (|meet| ?Y ?U ?V)) (NOT (|meet| ?X ?V ?W)) (|meet| ?Z ?U ?W)).
% 0.15/0.42 ; Recognized possible associativity assertion (OR (NOT (|meet| ?X ?Y ?Z)) (NOT (|meet| ?Y ?U ?V)) (NOT (|meet| ?Z ?U ?W)) (|meet| ?X ?V ?W)).
% 0.15/0.42 ; Recognized possible associativity assertion (OR (NOT (|join| ?X ?Y ?Z)) (NOT (|join| ?Y ?U ?V)) (NOT (|join| ?X ?V ?W)) (|join| ?Z ?U ?W)).
% 0.15/0.42 ; Recognized possible associativity assertion (OR (NOT (|join| ?X ?Y ?Z)) (NOT (|join| ?Y ?U ?V)) (NOT (|join| ?Z ?U ?W)) (|join| ?X ?V ?W)).
% 0.15/0.42 ; Recognized relation function assertion (|meet| ?X ?Y (|meet_of| ?X ?Y)).
% 0.15/0.42 ; Recognized relation functionality assertion (OR (NOT (|meet| ?X ?Y ?Z)) (NOT (|meet| ?X ?Y ?U)) (= ?Z ?U)).
% 0.15/0.42 ; Recognized relation function assertion (|join| ?X ?Y (|join_of| ?X ?Y)).
% 0.15/0.42 ; Recognized relation functionality assertion (OR (NOT (|join| ?X ?Y ?Z)) (NOT (|join| ?X ?Y ?U)) (= ?Z ?U)).
% 0.15/0.42 ; Declaring join to be commutative.
% 0.15/0.42 ; Declaring join_of to be commutative.
% 0.15/0.42 ; Declaring join_of to be associative-commutative.
% 0.15/0.42 ; Declaring meet to be commutative.
% 0.15/0.42 ; Declaring meet_of to be commutative.
% 1.16/1.36 ; Declaring meet_of to be associative-commutative.
% 1.16/1.36
% 1.16/1.36 #||
% 1.16/1.36 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.16/1.36 % SZS output start Refutation
% See solution above
% 1.20/1.37 ||#
% 1.20/1.37
% 1.20/1.37 ; Summary of computation:
% 1.20/1.37 ; 33607 formulas have been input or derived (from 84 formulas).
% 1.20/1.37 ; 892 ( 3%) were retained. Of these,
% 1.20/1.37 ; 195 (22%) were simplified or subsumed later,
% 1.20/1.37 ; 697 (78%) are still being kept.
% 1.20/1.37 ;
% 1.20/1.37 ; Run time in seconds excluding printing time:
% 1.20/1.37 ; 0.003 0% Read assertion file (1 call)
% 1.20/1.37 ; 0.001 0% Assert (31 calls)
% 1.20/1.37 ; 0.079 8% Process new row (20,414 calls)
% 1.20/1.37 ; 0.571 60% Resolution (166 calls)
% 1.20/1.37 ; 0.000 0% Paramodulation (83 calls)
% 1.20/1.37 ; 0.000 0% Embedding (56 calls)
% 1.20/1.37 ; 0.001 0% Condensing (10 calls)
% 1.20/1.37 ; 0.000 0% Forward subsumption (10 calls)
% 1.20/1.37 ; 0.000 0% Backward subsumption (8 calls)
% 1.20/1.37 ; 0.001 0% Clause clause subsumption (4 calls)
% 1.20/1.37 ; 0.214 23% Forward simplification (20,229 calls)
% 1.20/1.37 ; 0.012 1% Backward simplification (838 calls)
% 1.20/1.37 ; 0.000 0% Ordering (114 calls)
% 1.20/1.37 ; 0.001 0% Sortal reasoning (32 calls)
% 1.20/1.37 ; 0.000 0% Purity testing (1 call)
% 1.20/1.37 ; 0.067 7% Other
% 1.20/1.37 ; 0.950 Total
% 1.20/1.37 ; 0.956 Real time
% 1.20/1.37 ;
% 1.20/1.37 ; Term-hash-array has 1,210 terms in all.
% 1.20/1.37 ; Feature-vector-row-index has 8 entries (8 at peak, 8 added, 0 deleted).
% 1.20/1.37 ; Feature-vector-row-index has 16 nodes (16 at peak, 16 added, 0 deleted).
% 1.20/1.37 ; Retrieved 4 possibly forward subsuming rows in 10 calls.
% 1.20/1.37 ; Retrieved 0 possibly backward subsumed rows in 8 calls.
% 1.20/1.37 ; Path-index has 980 entries (980 at peak, 1,222 added, 242 deleted).
% 1.20/1.37 ; Path-index has 261 nodes (275 at peak, 284 added, 23 deleted).
% 1.20/1.37 ; Trie-index has 980 entries (980 at peak, 1,222 added, 242 deleted).
% 1.20/1.37 ; Trie-index has 597 nodes (598 at peak, 755 added, 158 deleted).
% 1.20/1.37 ; Retrieved 174,186 generalization terms in 43,574 calls.
% 1.20/1.37 ; Retrieved 970 instance terms in 829 calls.
% 1.20/1.37 ; Retrieved 557,767 unifiable terms in 64,557 calls.
% 1.20/1.37 ;
% 1.20/1.37 ; The agenda of rows to process has 307 entries:
% 1.20/1.37 ; 42 with value 8 224 with value 11 8 with value 14
% 1.20/1.37 ; 1 with value 10 32 with value 13
% 1.20/1.37 ; The agenda of rows to give has 618 entries:
% 1.20/1.37 ; 3 with value (4 7) 108 with value (4 11) 21 with value (4 14)
% 1.20/1.37 ; 165 with value (4 8) 68 with value (4 12) 24 with value (4 15)
% 1.20/1.37 ; 78 with value (4 9) 59 with value (4 13) 6 with value (4 16)
% 1.20/1.37 ; 86 with value (4 10)
% 1.20/1.37 Evaluation took:
% 1.20/1.37 0.957 seconds of real time
% 1.20/1.37 0.879325 seconds of user run time
% 1.20/1.37 0.076973 seconds of system run time
% 1.20/1.37 [Run times include 0.033 seconds GC run time.]
% 1.20/1.37 0 calls to %EVAL
% 1.20/1.37 0 page faults and
% 1.20/1.37 76,784,480 bytes consed.
% 1.20/1.37 :PROOF-FOUND
% 1.20/1.37 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-29T10:06:44
% 1.20/1.37 :PROOF-FOUND
% 1.20/1.37 *
%------------------------------------------------------------------------------