TSTP Solution File: LAT142-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LAT142-1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n017.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 06:42:29 EDT 2022
% Result : Unsatisfiable 13.34s 13.60s
% Output : Refutation 13.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of clauses : 13 ( 13 unt; 0 nHn; 2 RR)
% Number of literals : 13 ( 12 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 33 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
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(8,plain,
join(X,join(meet(X,Y),Z)) = join(X,Z),
inference('EMBED',[status(thm)],[absorption2]) ).
cnf(equation_H22,axiom,
join(meet(X,Y),meet(X,Z)) = meet(X,join(meet(Y,join(Z,meet(X,Y))),meet(Z,join(X,Y)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equation_H22) ).
cnf(prove_H6,negated_conjecture,
meet(a,join(b,meet(a,c))) != meet(a,join(meet(a,join(b,meet(a,c))),meet(c,join(a,b)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_H6) ).
cnf(18,plain,
join(meet(X,join(Y,Z)),meet(X,Y)) = meet(X,join(Y,Z)),
inference('PARAMODULATE',[status(thm)],[absorption2,6,theory(equality)]) ).
cnf(24,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(32,plain,
meet(join(X,meet(Y,Z)),join(X,Y)) = join(X,meet(Y,Z)),
inference('PARAMODULATE',[status(thm)],[absorption1,8,theory(equality)]) ).
cnf(82,plain,
join(meet(X,join(Y,Z)),meet(X,U)) = meet(X,join(meet(join(Y,Z),join(meet(join(X,Y),U),meet(X,join(Y,Z)))),meet(join(X,Y),U))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[equation_H22,6,theory(equality)]),absorption1,theory(equality)]) ).
cnf(694,plain,
join(X,meet(join(X,meet(Y,Z)),Y)) = join(X,meet(Y,Z)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[18,32,theory(equality)]),24,theory(equality)]) ).
cnf(700,plain,
join(meet(X,join(Y,Z)),meet(X,U)) = meet(X,join(meet(join(X,Y),U),meet(X,join(Y,Z)))),
inference('REWRITE',[status(thm)],[82,694,theory(equality)]) ).
cnf(702,plain,
$false,
inference('REWRITE',[status(thm)],[prove_H6,24,700,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LAT142-1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n017.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 : Wed Jun 29 14:52:08 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 2022-06-29T14:52:08
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n017.cluster.edu at 2022-06-29T14:52:08
% 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 ; Declaring meet to be commutative.
% 0.19/0.48 ; Declaring meet to be associative-commutative.
% 0.19/0.48 ; Declaring join to be commutative.
% 13.34/13.60 ; Declaring join to be associative-commutative.
% 13.34/13.60
% 13.34/13.60 #||
% 13.34/13.60 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.34/13.60 % SZS output start Refutation
% See solution above
% 13.34/13.60 ||#
% 13.34/13.60
% 13.34/13.60 ; Summary of computation:
% 13.34/13.60 ; 6645 formulas have been input or derived (from 19 formulas).
% 13.34/13.60 ; 702 (11%) were retained. Of these,
% 13.34/13.60 ; 59 ( 8%) were simplified or subsumed later,
% 13.34/13.60 ; 643 (92%) are still being kept.
% 13.34/13.60 ;
% 13.34/13.60 ; Run time in seconds excluding printing time:
% 13.34/13.60 ; 0.002 0% Read assertion file (1 call)
% 13.34/13.60 ; 0.001 0% Assert (10 calls)
% 13.34/13.60 ; 0.157 1% Process new row (6,368 calls)
% 13.34/13.60 ; 0.003 0% Resolution (36 calls)
% 13.34/13.60 ; 0.218 2% Paramodulation (18 calls)
% 13.34/13.60 ; 0.048 0% Embedding (350 calls)
% 13.34/13.60 ; 5.263 40% Forward simplification (6,018 calls)
% 13.34/13.60 ; 2.567 20% Backward simplification (352 calls)
% 13.34/13.60 ; 0.003 0% Ordering (1,236 calls)
% 13.34/13.60 ; 4.824 37% Ordering ac (1,217 calls)
% 13.34/13.60 ; 0.001 0% Sortal reasoning (32 calls)
% 13.34/13.60 ; 0.000 0% Purity testing (1 call)
% 13.34/13.60 ; 0.040 0% Other
% 13.34/13.60 ; 13.127 Total
% 13.34/13.60 ; 13.128 Real time
% 13.34/13.60 ;
% 13.34/13.60 ; Term-hash-array has 3,240 terms in all.
% 13.34/13.60 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 13.34/13.60 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 13.34/13.60 ; Path-index has 3,057 entries (3,068 at peak, 3,300 added, 243 deleted).
% 13.34/13.60 ; Path-index has 82 nodes (108 at peak, 115 added, 33 deleted).
% 13.34/13.60 ; Trie-index has 3,057 entries (3,068 at peak, 3,300 added, 243 deleted).
% 13.34/13.60 ; Trie-index has 15 nodes (15 at peak, 18 added, 3 deleted).
% 13.34/13.60 ; Retrieved 6,900,624 generalization terms in 59,539 calls.
% 13.34/13.60 ; Retrieved 86,856 instance terms in 355 calls.
% 13.34/13.60 ; Retrieved 7,520 unifiable terms in 102 calls.
% 13.34/13.60 ;
% 13.34/13.60 ; The agenda of backward simplifiable rows to process has 1 entry:
% 13.34/13.60 ; 1 with value 0
% 13.34/13.60 ; The agenda of rows to process has 211 entries:
% 13.34/13.60 ; 7 with value 26 8 with value 39 4 with value 52
% 13.34/13.60 ; 12 with value 27 5 with value 40 3 with value 54
% 13.34/13.60 ; 2 with value 28 7 with value 41 2 with value 55
% 13.34/13.60 ; 21 with value 29 8 with value 42 1 with value 57
% 13.34/13.60 ; 6 with value 30 10 with value 43 2 with value 58
% 13.34/13.60 ; 14 with value 31 3 with value 44 2 with value 59
% 13.34/13.60 ; 9 with value 32 4 with value 45 2 with value 60
% 13.34/13.60 ; 8 with value 33 3 with value 46 1 with value 63
% 13.34/13.60 ; 6 with value 34 3 with value 47 1 with value 64
% 13.34/13.60 ; 12 with value 35 2 with value 48 1 with value 65
% 13.34/13.60 ; 15 with value 36 6 with value 49 2 with value 66
% 13.34/13.60 ; 9 with value 37 2 with value 50 1 with value 69
% 13.34/13.60 ; 2 with value 38 5 with value 51
% 13.34/13.60 ; The agenda of rows to give has 625 entries:
% 13.34/13.60 ; 1 with value (4 20) 12 with value (4 47) 12 with value (4 74)
% 13.34/13.60 ; 6 with value (4 21) 22 with value (4 48) 12 with value (4 75)
% 13.34/13.60 ; 10 with value (4 22) 10 with value (4 49) 8 with value (4 76)
% 13.34/13.60 ; 8 with value (4 23) 16 with value (4 50) 4 with value (4 77)
% 13.34/13.60 ; 8 with value (4 24) 12 with value (4 51) 2 with value (4 78)
% 13.34/13.60 ; 8 with value (4 25) 12 with value (4 52) 2 with value (4 80)
% 13.34/13.60 ; 4 with value (4 26) 14 with value (4 53) 2 with value (4 81)
% 13.34/13.60 ; 8 with value (4 27) 8 with value (4 54) 2 with value (4 82)
% 13.34/13.60 ; 12 with value (4 28) 4 with value (4 55) 2 with value (4 83)
% 13.34/13.60 ; 8 with value (4 29) 6 with value (4 56) 4 with value (4 84)
% 13.34/13.60 ; 18 with value (4 30) 12 with value (4 57) 2 with value (4 85)
% 13.34/13.60 ; 16 with value (4 31) 10 with value (4 58) 6 with value (4 86)
% 13.34/13.60 ; 2 with value (4 32) 4 with value (4 59) 2 with value (4 87)
% 13.34/13.60 ; 14 with value (4 33) 14 with value (4 60) 6 with value (4 88)
% 13.34/13.60 ; 10 with value (4 34) 14 with value (4 61) 2 with value (4 90)
% 13.34/13.60 ; 12 with value (4 35) 2 with value (4 62) 2 with value (4 92)
% 13.34/13.60 ; 8 with value (4 36) 6 with value (4 63) 4 with value (4 94)
% 13.34/13.60 ; 16 with value (4 37) 8 with value (4 64) 8 with value (4 96)
% 13.34/13.60 ; 8 with value (4 38) 16 with value (4 65) 4 with value (4 100)
% 13.34/13.60 ; 16 with value (4 39) 4 with value (4 66) 2 with value (4 102)
% 13.34/13.60 ; 10 with value (4 40) 14 with value (4 67) 4 with value (4 104)
% 13.34/13.60 ; 14 with value (4 41) 4 with value (4 68) 2 with value (4 110)
% 13.34/13.60 ; 16 with value (4 42) 10 with value (4 69) 2 with value (4 112)
% 13.34/13.60 ; 12 with value (4 43) 6 with value (4 70) 2 with value (4 114)
% 13.34/13.60 ; 10 with value (4 44) 2 with value (4 71) 2 with value (4 118)
% 13.34/13.60 ; 8 with value (4 45) 2 with value (4 72) 2 with value (4 122)
% 13.34/13.60 ; 10 with value (4 46) 4 with value (4 73) 2 with value (4 128)
% 13.34/13.60 Evaluation took:
% 13.34/13.60 13.128 seconds of real time
% 13.34/13.60 13.041429 seconds of user run time
% 13.34/13.60 0.087049 seconds of system run time
% 13.34/13.60 [Run times include 0.278 seconds GC run time.]
% 13.34/13.60 0 calls to %EVAL
% 13.34/13.60 0 page faults and
% 13.34/13.60 1,029,351,560 bytes consed.
% 13.34/13.60 :PROOF-FOUND
% 13.34/13.60 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-29T14:52:21
% 13.34/13.60 :PROOF-FOUND
% 13.34/13.60 *
%------------------------------------------------------------------------------