TSTP Solution File: REL002-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : REL002-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n012.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 : Mon Jul 18 19:59:04 EDT 2022
% Result : Unsatisfiable 0.37s 0.60s
% Output : Refutation 0.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of clauses : 10 ( 10 unt; 0 nHn; 2 RR)
% Number of literals : 10 ( 9 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 15 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(maddux3_a_kind_of_de_Morgan_3,axiom,
X = join(complement(join(complement(X),complement(Y))),complement(join(complement(X),Y))),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',maddux3_a_kind_of_de_Morgan_3) ).
cnf(2,plain,
join(complement(join(complement(X),complement(Y))),join(complement(join(complement(X),Y)),Z)) = join(X,Z),
inference('EMBED',[status(thm)],[maddux3_a_kind_of_de_Morgan_3]) ).
cnf(def_top_12,axiom,
top = join(X,complement(X)),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',def_top_12) ).
cnf(15,plain,
join(X,join(complement(X),Y)) = join(top,Y),
inference('EMBED',[status(thm)],[def_top_12]) ).
cnf(goals_14,negated_conjecture,
join(sk1,top) != top,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_14) ).
cnf(25,plain,
join(top,X) = join(top,complement(join(Y,complement(join(X,Y))))),
inference('PARAMODULATE',[status(thm)],[15,15,theory(equality)]) ).
cnf(100,plain,
join(top,complement(X)) = join(top,complement(join(complement(Y),X))),
inference('PARAMODULATE',[status(thm)],[15,2,theory(equality)]) ).
cnf(102,plain,
join(top,X) = join(top,complement(Y)),
inference('REWRITE',[status(thm)],[25,100,theory(equality)]) ).
cnf(123,plain,
top = join(top,X),
inference('PARAMODULATE',[status(thm)],[def_top_12,102,theory(equality)]) ).
cnf(148,plain,
$false,
inference('REWRITE',[status(thm)],[goals_14,123,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : REL002-1 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n012.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 : Fri Jul 8 11:26:29 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p 2022-07-08T11:26:29
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n012.cluster.edu at 2022-07-08T11:26:29
% 0.19/0.48
% 0.19/0.48 ; Recognized commutativity assertion (= (|join| ?X ?Y) (|join| ?Y ?X)).
% 0.19/0.48 ; Recognized associativity assertion (= (|join| ?X (|join| ?Y ?Z)) (|join| (|join| ?X ?Y) ?Z)).
% 0.19/0.48 ; Recognized associativity assertion (= (|composition| ?X (|composition| ?Y ?Z)) (|composition| (|composition| ?X ?Y) ?Z)).
% 0.19/0.48 ; Recognized right identity assertion (= (|composition| ?X |one|) ?X).
% 0.19/0.48 ; Recognized possible right inverse assertion (= |top| (|join| ?X (|complement| ?X))).
% 0.19/0.48 ; Recognized possible right inverse assertion (= |zero| (|meet| ?X (|complement| ?X))).
% 0.19/0.48 ; Declaring join to be commutative.
% 0.37/0.60 ; Declaring join to be associative-commutative.
% 0.37/0.60
% 0.37/0.60 #||
% 0.37/0.60 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.37/0.60 % SZS output start Refutation
% See solution above
% 0.37/0.60 ||#
% 0.37/0.60
% 0.37/0.60 ; Summary of computation:
% 0.37/0.60 ; 309 formulas have been input or derived (from 23 formulas).
% 0.37/0.60 ; 148 (48%) were retained. Of these,
% 0.37/0.60 ; 62 (42%) were simplified or subsumed later,
% 0.37/0.60 ; 86 (58%) are still being kept.
% 0.37/0.60 ;
% 0.37/0.60 ; Run time in seconds excluding printing time:
% 0.37/0.60 ; 0.002 2% Read assertion file (1 call)
% 0.37/0.60 ; 0.001 1% Assert (14 calls)
% 0.37/0.60 ; 0.019 14% Process new row (282 calls)
% 0.37/0.60 ; 0.001 1% Resolution (44 calls)
% 0.37/0.60 ; 0.010 8% Paramodulation (22 calls)
% 0.37/0.60 ; 0.001 1% Embedding (62 calls)
% 0.37/0.60 ; 0.029 22% Forward simplification (220 calls)
% 0.37/0.60 ; 0.012 9% Backward simplification (86 calls)
% 0.37/0.60 ; 0.004 3% Ordering (749 calls)
% 0.37/0.60 ; 0.030 23% Ordering ac (355 calls)
% 0.37/0.60 ; 0.000 0% Sortal reasoning (32 calls)
% 0.37/0.60 ; 0.000 0% Purity testing (1 call)
% 0.37/0.60 ; 0.023 17% Other
% 0.37/0.60 ; 0.132 Total
% 0.37/0.60 ; 0.134 Real time
% 0.37/0.60 ;
% 0.37/0.60 ; Term-hash-array has 466 terms in all.
% 0.37/0.60 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.37/0.60 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.37/0.60 ; Path-index has 323 entries (386 at peak, 515 added, 192 deleted).
% 0.37/0.60 ; Path-index has 594 nodes (594 at peak, 636 added, 42 deleted).
% 0.37/0.60 ; Trie-index has 323 entries (386 at peak, 515 added, 192 deleted).
% 0.37/0.60 ; Trie-index has 310 nodes (310 at peak, 323 added, 13 deleted).
% 0.37/0.60 ; Retrieved 14,649 generalization terms in 1,757 calls.
% 0.37/0.60 ; Retrieved 402 instance terms in 109 calls.
% 0.37/0.60 ; Retrieved 1,296 unifiable terms in 121 calls.
% 0.37/0.60 ;
% 0.37/0.60 ; The agenda of backward simplifiable rows to process has 1 entry:
% 0.37/0.60 ; 1 with value 0
% 0.37/0.60 ; The agenda of rows to process has 17 entries:
% 0.37/0.60 ; 5 with value 11 1 with value 15 1 with value 18
% 0.37/0.60 ; 1 with value 12 1 with value 16 1 with value 19
% 0.37/0.60 ; 4 with value 13 1 with value 17 1 with value 20
% 0.37/0.60 ; 1 with value 14
% 0.37/0.60 ; The agenda of rows to give has 69 entries:
% 0.37/0.60 ; 1 with value (4 8) 2 with value (4 19) 2 with value (4 26)
% 0.37/0.60 ; 2 with value (4 9) 15 with value (4 20) 4 with value (4 28)
% 0.37/0.60 ; 1 with value (4 11) 2 with value (4 21) 2 with value (4 29)
% 0.37/0.60 ; 1 with value (4 13) 12 with value (4 22) 2 with value (4 31)
% 0.37/0.60 ; 1 with value (4 14) 1 with value (4 23) 2 with value (4 32)
% 0.37/0.60 ; 6 with value (4 15) 2 with value (4 24) 2 with value (4 36)
% 0.37/0.60 ; 2 with value (4 16) 3 with value (4 25) 2 with value (4 37)
% 0.37/0.60 ; 2 with value (4 17)
% 0.37/0.60 Evaluation took:
% 0.37/0.60 0.134 seconds of real time
% 0.37/0.60 0.125314 seconds of user run time
% 0.37/0.60 0.009175 seconds of system run time
% 0.37/0.60 0 calls to %EVAL
% 0.37/0.60 0 page faults and
% 0.37/0.60 6,133,768 bytes consed.
% 0.37/0.60 :PROOF-FOUND
% 0.37/0.60 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-08T11:26:29
% 0.37/0.60 :PROOF-FOUND
% 0.37/0.60 *
%------------------------------------------------------------------------------