%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LAT251-1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n006.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 06:43:02 EDT 2022
% Result : Unsatisfiable 190.15s 190.33s
% Output : Refutation 190.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 10
% Syntax : Number of clauses : 25 ( 23 unt; 0 nHn; 7 RR)
% Number of literals : 28 ( 27 equ; 5 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 33 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(idempotence_of_meet,axiom,
meet(X,X) = X,
file('/export/starexec/sandbox/benchmark/Axioms/LAT001-0.ax',idempotence_of_meet) ).
cnf(2,plain,
meet(X,meet(X,Y)) = meet(X,Y),
inference('EMBED',[status(thm)],[idempotence_of_meet]) ).
cnf(idempotence_of_join,axiom,
join(X,X) = X,
file('/export/starexec/sandbox/benchmark/Axioms/LAT001-0.ax',idempotence_of_join) ).
cnf(4,plain,
join(X,join(X,Y)) = join(X,Y),
inference('EMBED',[status(thm)],[idempotence_of_join]) ).
cnf(absorption1,axiom,
meet(X,join(X,Y)) = X,
file('/export/starexec/sandbox/benchmark/Axioms/LAT001-0.ax',absorption1) ).
cnf(absorption2,axiom,
join(X,meet(X,Y)) = X,
file('/export/starexec/sandbox/benchmark/Axioms/LAT001-0.ax',absorption2) ).
cnf(complement_join,axiom,
join(X,complement(X)) = one,
file('/export/starexec/sandbox/benchmark/Axioms/LAT001-4.ax',complement_join) ).
cnf(10,plain,
join(X,join(complement(X),Y)) = join(one,Y),
inference('EMBED',[status(thm)],[complement_join]) ).
cnf(complement_meet,axiom,
meet(X,complement(X)) = zero,
file('/export/starexec/sandbox/benchmark/Axioms/LAT001-4.ax',complement_meet) ).
cnf(12,plain,
meet(X,meet(complement(X),Y)) = meet(zero,Y),
inference('EMBED',[status(thm)],[complement_meet]) ).
cnf(meet_join_complement,axiom,
( meet(X,Y) != zero
| join(X,Y) != one
| complement(X) = Y ),
file('/export/starexec/sandbox/benchmark/Axioms/LAT001-4.ax',meet_join_complement) ).
cnf(equation_H69,axiom,
meet(X,join(Y,Z)) = join(meet(X,join(Z,meet(X,Y))),meet(X,join(Y,meet(X,Z)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equation_H69) ).
cnf(prove_distributivity_hypothesis,hypothesis,
meet(b,a) = a,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_distributivity_hypothesis) ).
cnf(17,plain,
meet(b,meet(a,X)) = meet(a,X),
inference('EMBED',[status(thm)],[prove_distributivity_hypothesis]) ).
cnf(prove_distributivity,negated_conjecture,
join(complement(b),complement(a)) != complement(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_distributivity) ).
cnf(19,plain,
join(one,X) = one,
inference('PARAMODULATE',[status(thm)],[4,10,theory(equality)]) ).
cnf(21,plain,
meet(zero,X) = zero,
inference('PARAMODULATE',[status(thm)],[2,12,theory(equality)]) ).
cnf(23,plain,
zero = meet(a,complement(b)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[17,12,theory(equality)]),21,theory(equality)]) ).
cnf(48,plain,
join(X,zero) = X,
inference('PARAMODULATE',[status(thm)],[absorption2,complement_meet,theory(equality)]) ).
cnf(61,plain,
join(meet(X,join(Z,meet(X,Y))),meet(X,Y)) = meet(X,join(Z,meet(X,Y))),
inference('PARAMODULATE',[status(thm)],[absorption2,absorption1,theory(equality)]) ).
cnf(93,plain,
complement(complement(X)) = X,
inference('HYPERRESOLVE',[status(thm)],[meet_join_complement,complement_meet,complement_join]) ).
cnf(110,plain,
( meet(join(X,Y),complement(X)) != zero
| X = join(X,Y) ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[meet_join_complement,10,theory(equality)]),93,19,theory(equality)]) ).
cnf(169,plain,
meet(X,join(Y,complement(X))) = meet(X,join(meet(X,Y),complement(X))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[equation_H69,complement_meet,theory(equality)]),61,48,theory(equality)]) ).
cnf(3430,plain,
meet(join(complement(b),complement(a)),a) != zero,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[110,prove_distributivity]),93,theory(equality)]) ).
cnf(7363,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[169,23,theory(equality)]),3430,48,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : LAT251-1 : TPTP v8.1.0. Released v3.1.0.
% 0.04/0.12 % Command : run-snark %s %d
% 0.14/0.33 % Computer : n006.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 600
% 0.14/0.33 % DateTime : Thu Jun 30 06:44:23 EDT 2022
% 0.14/0.33 % CPUTime :
% 0.19/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 *
% 0.19/0.45 *
% 0.19/0.45 #<PACKAGE "SNARK-USER">
% 0.19/0.45 *
% 0.19/0.45 SNARK-TPTP-OPTIONS
% 0.19/0.45 *
% 0.19/0.45 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.45 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.45 (USE-FACTORING :POS)
% 0.19/0.45 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.45 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.45 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.45 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.45 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.45 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.45 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.45 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.45 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.45 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.45 *
% 0.19/0.45 "."
% 0.19/0.45 *
% 0.19/0.45 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-30T06:44:23
% 0.19/0.45 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n006.cluster.edu at 2022-06-30T06:44:23
% 0.19/0.47
% 0.19/0.47 ; Recognized commutativity assertion (= (|meet| ?X ?Y) (|meet| ?Y ?X)).
% 0.19/0.47 ; Recognized commutativity assertion (= (|join| ?X ?Y) (|join| ?Y ?X)).
% 0.19/0.47 ; Recognized associativity assertion (= (|meet| (|meet| ?X ?Y) ?Z) (|meet| ?X (|meet| ?Y ?Z))).
% 0.19/0.47 ; Recognized associativity assertion (= (|join| (|join| ?X ?Y) ?Z) (|join| ?X (|join| ?Y ?Z))).
% 0.19/0.47 ; Recognized possible right inverse assertion (= (|join| ?X (|complement| ?X)) |one|).
% 0.19/0.47 ; Recognized possible right inverse assertion (= (|meet| ?X (|complement| ?X)) |zero|).
% 0.19/0.47 ; Declaring meet to be commutative.
% 0.19/0.47 ; Declaring meet to be associative-commutative.
% 0.19/0.47 ; Declaring join to be commutative.
% 190.15/190.33 ; Declaring join to be associative-commutative.
% 190.15/190.33
% 190.15/190.33 #||
% 190.15/190.33 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 190.15/190.33 % SZS output start Refutation
% See solution above
% 190.15/190.34 ||#
% 190.15/190.34
% 190.15/190.34 ; Summary of computation:
% 190.15/190.34 ; 88173 formulas have been input or derived (from 169 formulas).
% 190.15/190.34 ; 7363 ( 8%) were retained. Of these,
% 190.15/190.34 ; 279 ( 4%) were simplified or subsumed later,
% 190.15/190.34 ; 7084 (96%) are still being kept.
% 190.15/190.34 ;
% 190.15/190.34 ; Run time in seconds excluding printing time:
% 190.15/190.34 ; 0.003 0% Read assertion file (1 call)
% 190.15/190.34 ; 0.001 0% Assert (14 calls)
% 190.15/190.34 ; 2.150 1% Process new row (83,181 calls)
% 190.15/190.34 ; 0.304 0% Resolution (336 calls)
% 190.15/190.34 ; 2.020 1% Paramodulation (168 calls)
% 190.15/190.34 ; 0.175 0% Embedding (3,094 calls)
% 190.15/190.34 ; 0.172 0% Condensing (3,858 calls)
% 190.15/190.34 ; 0.351 0% Forward subsumption (3,858 calls)
% 190.15/190.34 ; 0.091 0% Backward subsumption (1,170 calls)
% 190.15/190.34 ; 0.305 0% Clause clause subsumption (18,156 calls)
% 190.15/190.34 ; 172.397 91% Forward simplification (80,089 calls)
% 190.15/190.34 ; 9.181 5% Backward simplification (4,271 calls)
% 190.15/190.34 ; 0.054 0% Ordering (30,089 calls)
% 190.15/190.34 ; 2.342 1% Ordering ac (13,929 calls)
% 190.15/190.34 ; 0.000 0% Sortal reasoning (32 calls)
% 190.15/190.34 ; 0.000 0% Purity testing (1 call)
% 190.15/190.34 ; 0.313 0% Other
% 190.15/190.34 ; 189.859 Total
% 190.15/190.34 ; 189.891 Real time
% 190.15/190.34 ;
% 190.15/190.35 ; Term-hash-array has 23,900 terms in all.
% 190.15/190.35 ; Feature-vector-row-index has 1,167 entries (1,167 at peak, 1,170 added, 3 deleted).
% 190.15/190.35 ; Feature-vector-row-index has 10,114 nodes (10,114 at peak, 10,139 added, 25 deleted).
% 190.15/190.35 ; Retrieved 17,873 possibly forward subsuming rows in 3,858 calls.
% 190.15/190.35 ; Retrieved 1,768 possibly backward subsumed rows in 1,170 calls.
% 190.15/190.35 ; Path-index has 23,144 entries (23,144 at peak, 24,020 added, 876 deleted).
% 190.15/190.35 ; Path-index has 613 nodes (625 at peak, 633 added, 20 deleted).
% 190.15/190.35 ; Trie-index has 23,144 entries (23,144 at peak, 24,020 added, 876 deleted).
% 190.15/190.35 ; Trie-index has 109 nodes (109 at peak, 110 added, 1 deleted).
% 190.15/190.35 ; Retrieved 460,352,433 generalization terms in 708,217 calls.
% 190.15/190.35 ; Retrieved 425,211 instance terms in 3,101 calls.
% 190.15/190.35 ; Retrieved 708,460 unifiable terms in 4,246 calls.
% 190.15/190.35 ;
% 190.15/190.35 ; The agenda of rows to process has 985 entries:
% 190.15/190.35 ; 1 with value 20 23 with value 43 14 with value 66
% 190.15/190.35 ; 5 with value 21 34 with value 44 3 with value 67
% 190.15/190.35 ; 4 with value 22 26 with value 45 13 with value 68
% 190.15/190.35 ; 16 with value 23 16 with value 46 6 with value 69
% 190.15/190.35 ; 13 with value 24 17 with value 47 5 with value 70
% 190.15/190.35 ; 26 with value 25 22 with value 48 11 with value 71
% 190.15/190.35 ; 11 with value 26 18 with value 49 27 with value 72
% 190.15/190.35 ; 12 with value 27 14 with value 50 3 with value 73
% 190.15/190.35 ; 10 with value 28 20 with value 51 1 with value 74
% 190.15/190.35 ; 27 with value 29 32 with value 52 1 with value 75
% 190.15/190.35 ; 53 with value 30 9 with value 53 6 with value 76
% 190.15/190.35 ; 12 with value 31 16 with value 54 4 with value 77
% 190.15/190.35 ; 21 with value 32 13 with value 55 4 with value 78
% 190.15/190.35 ; 23 with value 33 17 with value 56 1 with value 79
% 190.15/190.35 ; 43 with value 34 3 with value 57 2 with value 80
% 190.15/190.35 ; 30 with value 35 18 with value 58 3 with value 81
% 190.15/190.35 ; 22 with value 36 12 with value 59 6 with value 82
% 190.15/190.35 ; 21 with value 37 11 with value 60 1 with value 83
% 190.15/190.35 ; 26 with value 38 15 with value 61 1 with value 87
% 190.15/190.35 ; 32 with value 39 41 with value 62 1 with value 88
% 190.15/190.35 ; 35 with value 40 10 with value 63 1 with value 91
% 190.15/190.35 ; 15 with value 41 5 with value 64 1 with value 92
% 190.15/190.35 ; 16 with value 42 4 with value 65
% 190.15/190.35 ; The agenda of rows to give has 6915 entries:
% 190.15/190.35 ; 22 with value (4 20) 209 with value (4 42) 18 with value (4 63)
% 190.15/190.35 ; 75 with value (4 21) 171 with value (4 43) 9 with value (4 64)
% 190.15/190.35 ; 85 with value (4 22) 154 with value (4 44) 8 with value (4 65)
% 190.15/190.35 ; 123 with value (4 23) 187 with value (4 45) 4 with value (4 66)
% 190.15/190.35 ; 105 with value (4 24) 144 with value (4 46) 2 with value (4 67)
% 190.15/190.35 ; 190 with value (4 25) 132 with value (4 47) 8 with value (4 68)
% 190.15/190.35 ; 227 with value (4 26) 112 with value (4 48) 5 with value (4 69)
% 190.15/190.35 ; 180 with value (4 27) 95 with value (4 49) 10 with value (4 70)
% 190.15/190.35 ; 244 with value (4 28) 89 with value (4 50) 8 with value (4 71)
% 190.15/190.35 ; 276 with value (4 29) 83 with value (4 51) 6 with value (4 72)
% 190.15/190.35 ; 349 with value (4 30) 78 with value (4 52) 2 with value (4 73)
% 190.15/190.35 ; 298 with value (4 31) 71 with value (4 53) 2 with value (4 74)
% 190.15/190.35 ; 341 with value (4 32) 53 with value (4 54) 2 with value (4 75)
% 190.15/190.35 ; 256 with value (4 33) 48 with value (4 55) 6 with value (4 78)
% 190.15/190.35 ; 352 with value (4 34) 50 with value (4 56) 4 with value (4 79)
% 190.15/190.35 ; 270 with value (4 35) 32 with value (4 57) 2 with value (4 81)
% 190.15/190.35 ; 336 with value (4 36) 37 with value (4 58) 4 with value (4 82)
% 190.15/190.35 ; 245 with value (4 37) 37 with value (4 59) 2 with value (4 83)
% 190.15/190.35 ; 236 with value (4 38) 23 with value (4 60) 2 with value (4 84)
% 190.15/190.35 ; 258 with value (4 39) 12 with value (4 61) 4 with value (4 88)
% 190.15/190.35 ; 270 with value (4 40) 21 with value (4 62) 2 with value (4 89)
% 190.15/190.35 ; 229 with value (4 41)
% 190.15/190.35 Evaluation took:
% 190.15/190.35 189.892 seconds of real time
% 190.15/190.35 189.08617 seconds of user run time
% 190.15/190.35 0.785895 seconds of system run time
% 190.15/190.35 [Run times include 5.024 seconds GC run time.]
% 190.15/190.35 0 calls to %EVAL
% 190.15/190.35 0 page faults and
% 190.15/190.35 8,263,246,424 bytes consed.
% 190.15/190.35 :PROOF-FOUND
% 190.15/190.35 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-30T06:47:33
% 190.15/190.35 :PROOF-FOUND
% 190.15/190.35 *
%------------------------------------------------------------------------------