TSTP Solution File: LAT044-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LAT044-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n011.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 06:42:01 EDT 2022
% Result : Unsatisfiable 1.46s 1.62s
% Output : Refutation 1.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of clauses : 17 ( 17 unt; 0 nHn; 4 RR)
% Number of literals : 17 ( 16 equ; 3 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 : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 27 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(absorption2,axiom,
join(X,meet(X,Y)) = X,
file('/export/starexec/sandbox/benchmark/Axioms/LAT001-0.ax',absorption2) ).
cnf(compatibility1,axiom,
complement(join(X,Y)) = meet(complement(X),complement(Y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',compatibility1) ).
cnf(compatibility2,axiom,
complement(meet(X,Y)) = join(complement(X),complement(Y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',compatibility2) ).
cnf(invertability3,axiom,
complement(complement(X)) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',invertability3) ).
cnf(orthomodular_law,axiom,
join(X,meet(complement(X),join(X,Y))) = join(X,Y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',orthomodular_law) ).
cnf(prove_weak_orthomodular_law,negated_conjecture,
join(meet(complement(a),join(a,b)),join(complement(b),meet(a,b))) != n1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_weak_orthomodular_law) ).
cnf(81,plain,
join(complement(X),complement(join(X,Y))) = complement(X),
inference('PARAMODULATE',[status(thm)],[absorption2,compatibility1,theory(equality)]) ).
cnf(82,plain,
join(complement(X),join(complement(join(X,Y)),Z)) = join(complement(X),Z),
inference('EMBED',[status(thm)],[81]) ).
cnf(83,plain,
complement(join(complement(X),Y)) = meet(X,complement(Y)),
inference('PARAMODULATE',[status(thm)],[compatibility1,invertability3,theory(equality)]) ).
cnf(85,plain,
join(X,complement(join(complement(join(X,Y)),X))) = join(X,Y),
inference('REWRITE',[status(thm)],[orthomodular_law,83,theory(equality)]) ).
cnf(87,plain,
join(complement(join(complement(join(a,b)),a)),join(complement(b),meet(a,b))) != n1,
inference('REWRITE',[status(thm)],[prove_weak_orthomodular_law,83,theory(equality)]) ).
cnf(88,plain,
complement(join(complement(X),complement(Y))) = meet(X,Y),
inference('PARAMODULATE',[status(thm)],[invertability3,compatibility2,theory(equality)]) ).
cnf(129,plain,
join(complement(join(complement(join(a,b)),a)),join(complement(b),complement(join(complement(a),complement(b))))) != n1,
inference('REWRITE',[status(thm)],[87,88,theory(equality)]) ).
cnf(161,plain,
join(complement(join(X,Y)),complement(join(complement(join(X,Y)),X))) = complement(X),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[85,81,theory(equality)]),invertability3,theory(equality)]) ).
cnf(162,plain,
join(complement(join(X,Y)),join(complement(join(complement(join(X,Y)),X)),Z)) = join(complement(X),Z),
inference('EMBED',[status(thm)],[161]) ).
cnf(317,plain,
join(complement(X),complement(Y)) = join(complement(Y),complement(join(complement(join(X,Y)),X))),
inference('PARAMODULATE',[status(thm)],[82,162,theory(equality)]) ).
cnf(319,plain,
$false,
inference('REWRITE',[status(thm)],[129,317,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : LAT044-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.12 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n011.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Thu Jun 30 00:03:47 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.20/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.45 *
% 0.20/0.45 *
% 0.20/0.46 #<PACKAGE "SNARK-USER">
% 0.20/0.46 *
% 0.20/0.46 SNARK-TPTP-OPTIONS
% 0.20/0.46 *
% 0.20/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.46 (USE-FACTORING :POS)
% 0.20/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.46 *
% 0.20/0.46 "."
% 0.20/0.46 *
% 0.20/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-30T00:03:47
% 0.20/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n011.cluster.edu at 2022-06-30T00:03:47
% 0.20/0.47
% 0.20/0.47 ; Recognized commutativity assertion (= (|meet| ?X ?Y) (|meet| ?Y ?X)).
% 0.20/0.47 ; Recognized commutativity assertion (= (|join| ?X ?Y) (|join| ?Y ?X)).
% 0.20/0.47 ; Recognized associativity assertion (= (|meet| (|meet| ?X ?Y) ?Z) (|meet| ?X (|meet| ?Y ?Z))).
% 0.20/0.48 ; Recognized associativity assertion (= (|join| (|join| ?X ?Y) ?Z) (|join| ?X (|join| ?Y ?Z))).
% 0.20/0.48 ; Recognized possible left inverse assertion (= (|join| (|complement| ?X) ?X) |n1|).
% 0.20/0.48 ; Recognized possible left inverse assertion (= (|meet| (|complement| ?X) ?X) |n0|).
% 0.20/0.48 ; Declaring meet to be commutative.
% 0.20/0.48 ; Declaring meet to be associative-commutative.
% 0.20/0.48 ; Declaring join to be commutative.
% 1.46/1.62 ; Declaring join to be associative-commutative.
% 1.46/1.62
% 1.46/1.62 #||
% 1.46/1.62 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.46/1.62 % SZS output start Refutation
% See solution above
% 1.46/1.62 ||#
% 1.46/1.62
% 1.46/1.62 ; Summary of computation:
% 1.46/1.62 ; 3210 formulas have been input or derived (from 35 formulas).
% 1.46/1.62 ; 319 (10%) were retained. Of these,
% 1.46/1.62 ; 162 (51%) were simplified or subsumed later,
% 1.46/1.62 ; 157 (49%) are still being kept.
% 1.46/1.62 ;
% 1.46/1.62 ; Run time in seconds excluding printing time:
% 1.46/1.62 ; 0.003 0% Read assertion file (1 call)
% 1.46/1.62 ; 0.001 0% Assert (15 calls)
% 1.46/1.62 ; 0.043 4% Process new row (2,968 calls)
% 1.46/1.62 ; 0.001 0% Resolution (68 calls)
% 1.46/1.62 ; 0.071 6% Paramodulation (34 calls)
% 1.46/1.62 ; 0.057 5% Embedding (157 calls)
% 1.46/1.62 ; 0.752 65% Forward simplification (2,764 calls)
% 1.46/1.62 ; 0.186 16% Backward simplification (171 calls)
% 1.46/1.62 ; 0.004 0% Ordering (993 calls)
% 1.46/1.62 ; 0.010 1% Ordering ac (500 calls)
% 1.46/1.62 ; 0.000 0% Sortal reasoning (32 calls)
% 1.46/1.62 ; 0.000 0% Purity testing (1 call)
% 1.46/1.62 ; 0.030 3% Other
% 1.46/1.62 ; 1.158 Total
% 1.46/1.62 ; 1.160 Real time
% 1.46/1.62 ;
% 1.46/1.62 ; Term-hash-array has 1,131 terms in all.
% 1.46/1.62 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 1.46/1.62 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 1.46/1.62 ; Path-index has 581 entries (586 at peak, 1,184 added, 603 deleted).
% 1.46/1.62 ; Path-index has 138 nodes (171 at peak, 266 added, 128 deleted).
% 1.46/1.62 ; Trie-index has 581 entries (586 at peak, 1,184 added, 603 deleted).
% 1.46/1.62 ; Trie-index has 36 nodes (41 at peak, 62 added, 26 deleted).
% 1.46/1.62 ; Retrieved 554,696 generalization terms in 27,046 calls.
% 1.46/1.62 ; Retrieved 6,954 instance terms in 170 calls.
% 1.46/1.62 ; Retrieved 3,076 unifiable terms in 182 calls.
% 1.46/1.62 ;
% 1.46/1.62 ; The agenda of rows to process has 151 entries:
% 1.46/1.62 ; 6 with value 25 3 with value 36 2 with value 48
% 1.46/1.62 ; 2 with value 26 9 with value 37 4 with value 50
% 1.46/1.62 ; 9 with value 27 10 with value 38 1 with value 51
% 1.46/1.62 ; 4 with value 28 6 with value 39 1 with value 52
% 1.46/1.62 ; 6 with value 29 6 with value 40 2 with value 54
% 1.46/1.62 ; 10 with value 30 5 with value 41 1 with value 56
% 1.46/1.62 ; 13 with value 31 3 with value 42 2 with value 58
% 1.46/1.62 ; 6 with value 32 2 with value 43 2 with value 60
% 1.46/1.62 ; 7 with value 33 2 with value 44 1 with value 62
% 1.46/1.62 ; 6 with value 34 2 with value 45 2 with value 68
% 1.46/1.62 ; 12 with value 35 3 with value 46 1 with value 70
% 1.46/1.62 ; The agenda of rows to give has 134 entries:
% 1.46/1.62 ; 2 with value (4 23) 4 with value (4 34) 2 with value (4 45)
% 1.46/1.62 ; 2 with value (4 24) 6 with value (4 35) 2 with value (4 46)
% 1.46/1.62 ; 4 with value (4 25) 2 with value (4 36) 2 with value (4 47)
% 1.46/1.62 ; 2 with value (4 26) 8 with value (4 37) 2 with value (4 50)
% 1.46/1.62 ; 2 with value (4 27) 6 with value (4 38) 2 with value (4 51)
% 1.46/1.62 ; 4 with value (4 28) 16 with value (4 39) 2 with value (4 53)
% 1.46/1.62 ; 2 with value (4 29) 2 with value (4 40) 2 with value (4 54)
% 1.46/1.62 ; 14 with value (4 30) 4 with value (4 41) 2 with value (4 60)
% 1.46/1.62 ; 8 with value (4 31) 4 with value (4 42) 2 with value (4 64)
% 1.46/1.62 ; 8 with value (4 32) 4 with value (4 43) 2 with value (4 68)
% 1.46/1.62 ; 8 with value (4 33) 2 with value (4 44)
% 1.46/1.62 Evaluation took:
% 1.46/1.62 1.16 seconds of real time
% 1.46/1.62 1.139742 seconds of user run time
% 1.46/1.62 0.02018 seconds of system run time
% 1.46/1.62 [Run times include 0.032 seconds GC run time.]
% 1.46/1.62 0 calls to %EVAL
% 1.46/1.62 0 page faults and
% 1.46/1.62 124,424,904 bytes consed.
% 1.46/1.62 :PROOF-FOUND
% 1.46/1.62 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-30T00:03:49
% 1.46/1.62 :PROOF-FOUND
% 1.46/1.62 *
%------------------------------------------------------------------------------