TSTP Solution File: LAT257-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LAT257-1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n020.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 06:43:03 EDT 2022
% Result : Unsatisfiable 256.64s 256.83s
% Output : Refutation 256.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 10
% Syntax : Number of clauses : 30 ( 28 unt; 0 nHn; 9 RR)
% Number of literals : 33 ( 32 equ; 5 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 6 ( 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 : 42 ( 7 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(idempotence_of_meet,axiom,
meet(X,X) = X,
file('/export/starexec/sandbox/benchmark/Axioms/LAT001-0.ax',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(6,plain,
meet(X,meet(join(X,Y),Z)) = meet(X,Z),
inference('EMBED',[status(thm)],[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(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_H82,axiom,
meet(X,join(meet(Y,join(X,Z)),meet(Z,join(X,Y)))) = join(meet(X,Y),meet(X,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equation_H82) ).
cnf(15,plain,
meet(X,meet(join(meet(Y,join(X,Z)),meet(Z,join(X,Y))),U)) = meet(join(meet(X,Y),meet(X,Z)),U),
inference('EMBED',[status(thm)],[equation_H82]) ).
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(27,plain,
meet(X,one) = X,
inference('PARAMODULATE',[status(thm)],[absorption1,complement_join,theory(equality)]) ).
cnf(34,plain,
meet(a,X) = meet(a,meet(X,join(meet(X,b),Y))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[17,6,theory(equality)]),prove_distributivity_hypothesis,theory(equality)]) ).
cnf(46,plain,
join(b,a) = b,
inference('PARAMODULATE',[status(thm)],[absorption2,prove_distributivity_hypothesis,theory(equality)]) ).
cnf(47,plain,
join(b,join(a,X)) = join(b,X),
inference('EMBED',[status(thm)],[46]) ).
cnf(48,plain,
join(X,zero) = X,
inference('PARAMODULATE',[status(thm)],[absorption2,complement_meet,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(167,plain,
meet(X,join(Y,meet(join(X,Y),complement(X)))) = meet(X,Y),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[equation_H82,complement_join,theory(equality)]),48,27,theory(equality)]) ).
cnf(275,plain,
meet(join(meet(X,Y),meet(X,Z)),join(X,U)) = join(meet(X,Y),meet(X,Z)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[6,15,theory(equality)]),equation_H82,theory(equality)]) ).
cnf(365,plain,
join(b,complement(a)) = one,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[10,47,theory(equality)]),19,theory(equality)]) ).
cnf(1689,plain,
meet(a,X) = meet(a,join(meet(X,Y),meet(X,b))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[15,34,theory(equality)]),275,idempotence_of_meet,absorption1,theory(equality)]) ).
cnf(4088,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(8626,plain,
meet(b,join(complement(b),complement(a))) = meet(b,complement(a)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[167,365,theory(equality)]),27,theory(equality)]) ).
cnf(9469,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[1689,8626,theory(equality)]),4088,prove_distributivity_hypothesis,idempotence_of_join,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.12 % Problem : LAT257-1 : TPTP v8.1.0. Released v3.1.0.
% 0.09/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n020.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 : Wed Jun 29 18:26:16 EDT 2022
% 0.12/0.33 % 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)
% 0.19/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46 *
% 0.19/0.46 "."
% 0.19/0.46 *
% 0.19/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-29T18:26:16
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-06-29T18:26:16
% 0.19/0.48
% 0.19/0.48 ; Recognized commutativity assertion (= (|meet| ?X ?Y) (|meet| ?Y ?X)).
% 0.19/0.48 ; Recognized commutativity assertion (= (|join| ?X ?Y) (|join| ?Y ?X)).
% 0.19/0.48 ; Recognized associativity assertion (= (|meet| (|meet| ?X ?Y) ?Z) (|meet| ?X (|meet| ?Y ?Z))).
% 0.19/0.48 ; Recognized associativity assertion (= (|join| (|join| ?X ?Y) ?Z) (|join| ?X (|join| ?Y ?Z))).
% 0.19/0.48 ; Recognized possible right inverse assertion (= (|join| ?X (|complement| ?X)) |one|).
% 0.19/0.48 ; Recognized possible right inverse assertion (= (|meet| ?X (|complement| ?X)) |zero|).
% 0.19/0.48 ; Declaring meet to be commutative.
% 0.19/0.48 ; Declaring meet to be associative-commutative.
% 0.19/0.48 ; Declaring join to be commutative.
% 256.64/256.83 ; Declaring join to be associative-commutative.
% 256.64/256.83
% 256.64/256.83 #||
% 256.64/256.83 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 256.64/256.83 % SZS output start Refutation
% See solution above
% 256.64/256.83 ||#
% 256.64/256.83
% 256.64/256.83 ; Summary of computation:
% 256.64/256.83 ; 88952 formulas have been input or derived (from 174 formulas).
% 256.64/256.83 ; 9469 (11%) were retained. Of these,
% 256.64/256.83 ; 304 ( 3%) were simplified or subsumed later,
% 256.64/256.83 ; 9165 (97%) are still being kept.
% 256.64/256.83 ;
% 256.64/256.83 ; Run time in seconds excluding printing time:
% 256.64/256.83 ; 0.003 0% Read assertion file (1 call)
% 256.64/256.83 ; 0.000 0% Assert (14 calls)
% 256.64/256.83 ; 3.240 1% Process new row (84,543 calls)
% 256.64/256.83 ; 0.413 0% Resolution (346 calls)
% 256.64/256.83 ; 2.070 1% Paramodulation (173 calls)
% 256.64/256.83 ; 0.112 0% Embedding (4,112 calls)
% 256.64/256.83 ; 0.233 0% Condensing (3,989 calls)
% 256.64/256.83 ; 0.387 0% Forward subsumption (3,989 calls)
% 256.64/256.83 ; 0.081 0% Backward subsumption (1,238 calls)
% 256.64/256.83 ; 0.332 0% Clause clause subsumption (19,310 calls)
% 256.64/256.83 ; 214.048 83% Forward simplification (80,432 calls)
% 256.64/256.83 ; 11.400 4% Backward simplification (5,358 calls)
% 256.64/256.83 ; 0.090 0% Ordering (34,355 calls)
% 256.64/256.83 ; 23.567 9% Ordering ac (17,452 calls)
% 256.64/256.83 ; 0.000 0% Sortal reasoning (32 calls)
% 256.64/256.83 ; 0.000 0% Purity testing (1 call)
% 256.64/256.83 ; 0.386 0% Other
% 256.64/256.83 ; 256.362 Total
% 256.64/256.83 ; 256.365 Real time
% 256.64/256.83 ;
% 256.64/256.83 ; Term-hash-array has 29,582 terms in all.
% 256.64/256.83 ; Feature-vector-row-index has 1,237 entries (1,237 at peak, 1,238 added, 1 deleted).
% 256.64/256.83 ; Feature-vector-row-index has 10,876 nodes (10,876 at peak, 10,882 added, 6 deleted).
% 256.64/256.83 ; Retrieved 18,883 possibly forward subsuming rows in 3,989 calls.
% 256.64/256.83 ; Retrieved 1,870 possibly backward subsumed rows in 1,238 calls.
% 256.64/256.83 ; Path-index has 28,754 entries (28,754 at peak, 29,720 added, 966 deleted).
% 256.64/256.83 ; Path-index has 969 nodes (969 at peak, 990 added, 21 deleted).
% 256.64/256.83 ; Trie-index has 28,754 entries (28,754 at peak, 29,720 added, 966 deleted).
% 256.64/256.83 ; Trie-index has 106 nodes (106 at peak, 107 added, 1 deleted).
% 256.64/256.83 ; Retrieved 577,836,632 generalization terms in 718,914 calls.
% 256.64/256.83 ; Retrieved 518,237 instance terms in 4,125 calls.
% 256.64/256.83 ; Retrieved 853,447 unifiable terms in 4,651 calls.
% 256.64/256.83 ;
% 256.64/256.83 ; The agenda of rows to process has 22 entries:
% 256.64/256.83 ; 1 with value 28 4 with value 32 5 with value 36
% 256.64/256.83 ; 1 with value 29 2 with value 33 3 with value 37
% 256.64/256.83 ; 1 with value 30 1 with value 35 1 with value 38
% 256.64/256.83 ; 3 with value 31
% 256.64/256.83 ; The agenda of rows to give has 8991 entries:
% 256.64/256.83 ; 1 with value (4 19) 205 with value (4 46) 26 with value (4 72)
% 256.64/256.83 ; 24 with value (4 20) 174 with value (4 47) 10 with value (4 73)
% 256.64/256.83 ; 79 with value (4 21) 168 with value (4 48) 6 with value (4 74)
% 256.64/256.83 ; 95 with value (4 22) 161 with value (4 49) 8 with value (4 75)
% 256.64/256.83 ; 135 with value (4 23) 159 with value (4 50) 18 with value (4 76)
% 256.64/256.83 ; 139 with value (4 24) 149 with value (4 51) 9 with value (4 77)
% 256.64/256.83 ; 206 with value (4 25) 138 with value (4 52) 6 with value (4 78)
% 256.64/256.83 ; 251 with value (4 26) 138 with value (4 53) 10 with value (4 79)
% 256.64/256.83 ; 240 with value (4 27) 100 with value (4 54) 17 with value (4 80)
% 256.64/256.83 ; 299 with value (4 28) 87 with value (4 55) 5 with value (4 81)
% 256.64/256.83 ; 328 with value (4 29) 104 with value (4 56) 4 with value (4 82)
% 256.64/256.83 ; 369 with value (4 30) 77 with value (4 57) 6 with value (4 83)
% 256.64/256.83 ; 336 with value (4 31) 96 with value (4 58) 9 with value (4 84)
% 256.64/256.83 ; 397 with value (4 32) 81 with value (4 59) 7 with value (4 85)
% 256.64/256.83 ; 287 with value (4 33) 65 with value (4 60) 2 with value (4 87)
% 256.64/256.83 ; 383 with value (4 34) 58 with value (4 61) 6 with value (4 88)
% 256.64/256.83 ; 313 with value (4 35) 51 with value (4 62) 8 with value (4 89)
% 256.64/256.83 ; 338 with value (4 36) 44 with value (4 63) 2 with value (4 90)
% 256.64/256.83 ; 293 with value (4 37) 53 with value (4 64) 2 with value (4 92)
% 256.64/256.83 ; 274 with value (4 38) 31 with value (4 65) 3 with value (4 93)
% 256.64/256.83 ; 268 with value (4 39) 41 with value (4 66) 2 with value (4 94)
% 256.64/256.83 ; 292 with value (4 40) 40 with value (4 67) 2 with value (4 96)
% 256.64/256.83 ; 254 with value (4 41) 30 with value (4 68) 2 with value (4 98)
% 256.64/256.83 ; 259 with value (4 42) 17 with value (4 69) 2 with value (4 104)
% 256.64/256.83 ; 225 with value (4 43) 26 with value (4 70) 2 with value (4 108)
% 256.64/256.83 ; 182 with value (4 44) 24 with value (4 71) 2 with value (4 118)
% 256.64/256.83 ; 231 with value (4 45)
% 256.64/256.83 Evaluation took:
% 256.64/256.83 256.367 seconds of real time
% 256.64/256.83 255.36034 seconds of user run time
% 256.64/256.83 1.006102 seconds of system run time
% 256.64/256.83 [Run times include 7.186 seconds GC run time.]
% 256.64/256.83 0 calls to %EVAL
% 256.64/256.83 0 page faults and
% 256.64/256.83 10,553,109,976 bytes consed.
% 256.64/256.83 :PROOF-FOUND
% 256.64/256.83 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-29T18:30:32
% 256.64/256.83 :PROOF-FOUND
% 256.64/256.83 *
%------------------------------------------------------------------------------