%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : REL015-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n027.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 19:59:19 EDT 2022
% Result : Unsatisfiable 1.10s 1.27s
% Output : Refutation 1.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of clauses : 33 ( 33 unt; 0 nHn; 4 RR)
% Number of literals : 33 ( 32 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 : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 53 ( 6 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/sandbox/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(maddux4_definiton_of_meet_4,axiom,
meet(X,Y) = complement(join(complement(X),complement(Y))),
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',maddux4_definiton_of_meet_4) ).
cnf(composition_identity_6,axiom,
composition(X,one) = X,
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',composition_identity_6) ).
cnf(composition_distributivity_7,axiom,
composition(join(X,Y),Z) = join(composition(X,Z),composition(Y,Z)),
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',composition_distributivity_7) ).
cnf(7,plain,
join(composition(X,Y),join(composition(Z,Y),U)) = join(composition(join(X,Z),Y),U),
inference('EMBED',[status(thm)],[composition_distributivity_7]) ).
cnf(converse_idempotence_8,axiom,
converse(converse(X)) = X,
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',converse_idempotence_8) ).
cnf(converse_multiplicativity_10,axiom,
converse(composition(X,Y)) = composition(converse(Y),converse(X)),
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',converse_multiplicativity_10) ).
cnf(converse_cancellativity_11,axiom,
join(composition(converse(X),complement(composition(X,Y))),complement(Y)) = complement(Y),
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',converse_cancellativity_11) ).
cnf(13,plain,
join(composition(converse(X),complement(composition(X,Y))),join(complement(Y),Z)) = join(complement(Y),Z),
inference('EMBED',[status(thm)],[converse_cancellativity_11]) ).
cnf(def_top_12,axiom,
top = join(X,complement(X)),
file('/export/starexec/sandbox/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(def_zero_13,axiom,
zero = meet(X,complement(X)),
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',def_zero_13) ).
cnf(17,plain,
zero = complement(top),
inference('REWRITE',[status(thm)],[def_zero_13,maddux4_definiton_of_meet_4,theory(equality)]) ).
cnf(goals_14,negated_conjecture,
composition(top,top) != top,
file('/export/starexec/sandbox/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(34,plain,
converse(composition(converse(X),Y)) = composition(converse(Y),X),
inference('PARAMODULATE',[status(thm)],[converse_multiplicativity_10,converse_idempotence_8,theory(equality)]) ).
cnf(47,plain,
join(composition(join(X,Y),Z),complement(composition(X,Z))) = join(top,composition(Y,Z)),
inference('PARAMODULATE',[status(thm)],[15,7,theory(equality)]) ).
cnf(65,plain,
join(complement(X),complement(composition(converse(Y),complement(composition(Y,X))))) = join(top,complement(X)),
inference('PARAMODULATE',[status(thm)],[15,13,theory(equality)]) ).
cnf(77,plain,
complement(X) = join(zero,complement(join(complement(complement(X)),X))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[maddux3_a_kind_of_de_Morgan_3,def_top_12,theory(equality)]),17,theory(equality)]) ).
cnf(79,plain,
X = complement(complement(X)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[maddux3_a_kind_of_de_Morgan_3,def_top_12,theory(equality)]),77,17,theory(equality)]) ).
cnf(84,plain,
X = join(complement(join(top,complement(X))),X),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[maddux3_a_kind_of_de_Morgan_3,converse_cancellativity_11,theory(equality)]),79,65,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(129,plain,
join(composition(join(X,Y),Z),complement(composition(X,Z))) = top,
inference('REWRITE',[status(thm)],[47,123,theory(equality)]) ).
cnf(143,plain,
X = join(zero,X),
inference('REWRITE',[status(thm)],[84,17,123,theory(equality)]) ).
cnf(218,plain,
X = composition(converse(one),X),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[34,composition_identity_6,theory(equality)]),converse_idempotence_8,theory(equality)]) ).
cnf(242,plain,
one = converse(one),
inference('PARAMODULATE',[status(thm)],[composition_identity_6,218,theory(equality)]) ).
cnf(243,plain,
X = composition(one,X),
inference('REWRITE',[status(thm)],[218,242,theory(equality)]) ).
cnf(503,plain,
join(composition(top,X),complement(composition(Y,X))) = top,
inference('PARAMODULATE',[status(thm)],[129,def_top_12,theory(equality)]) ).
cnf(669,plain,
join(composition(top,X),complement(X)) = top,
inference('PARAMODULATE',[status(thm)],[503,243,theory(equality)]) ).
cnf(686,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[669,17,theory(equality)]),goals_14,143,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : REL015-1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n027.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 : Fri Jul 8 10:52:30 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 2022-07-08T10:52:30
% 0.20/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n027.cluster.edu at 2022-07-08T10:52:30
% 0.20/0.47
% 0.20/0.47 ; Recognized commutativity assertion (= (|join| ?X ?Y) (|join| ?Y ?X)).
% 0.20/0.47 ; Recognized associativity assertion (= (|join| ?X (|join| ?Y ?Z)) (|join| (|join| ?X ?Y) ?Z)).
% 0.20/0.47 ; Recognized associativity assertion (= (|composition| ?X (|composition| ?Y ?Z)) (|composition| (|composition| ?X ?Y) ?Z)).
% 0.20/0.47 ; Recognized right identity assertion (= (|composition| ?X |one|) ?X).
% 0.20/0.47 ; Recognized possible right inverse assertion (= |top| (|join| ?X (|complement| ?X))).
% 0.20/0.47 ; Recognized possible right inverse assertion (= |zero| (|meet| ?X (|complement| ?X))).
% 0.20/0.47 ; Declaring join to be commutative.
% 1.10/1.27 ; Declaring join to be associative-commutative.
% 1.10/1.27
% 1.10/1.27 #||
% 1.10/1.27 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.10/1.27 % SZS output start Refutation
% See solution above
% 1.10/1.27 ||#
% 1.10/1.27
% 1.10/1.27 ; Summary of computation:
% 1.10/1.27 ; 3000 formulas have been input or derived (from 73 formulas).
% 1.10/1.27 ; 686 (23%) were retained. Of these,
% 1.10/1.27 ; 136 (20%) were simplified or subsumed later,
% 1.10/1.27 ; 550 (80%) are still being kept.
% 1.10/1.27 ;
% 1.10/1.27 ; Run time in seconds excluding printing time:
% 1.10/1.27 ; 0.003 0% Read assertion file (1 call)
% 1.10/1.27 ; 0.000 0% Assert (14 calls)
% 1.10/1.27 ; 0.074 9% Process new row (2,946 calls)
% 1.10/1.27 ; 0.004 0% Resolution (144 calls)
% 1.10/1.27 ; 0.060 7% Paramodulation (72 calls)
% 1.10/1.27 ; 0.003 0% Embedding (283 calls)
% 1.10/1.27 ; 0.300 37% Forward simplification (2,332 calls)
% 1.10/1.27 ; 0.023 3% Backward simplification (409 calls)
% 1.10/1.27 ; 0.019 2% Ordering (7,083 calls)
% 1.10/1.27 ; 0.290 36% Ordering ac (4,483 calls)
% 1.10/1.27 ; 0.000 0% Sortal reasoning (32 calls)
% 1.10/1.27 ; 0.000 0% Purity testing (1 call)
% 1.10/1.27 ; 0.032 4% Other
% 1.10/1.27 ; 0.808 Total
% 1.10/1.27 ; 0.810 Real time
% 1.10/1.27 ;
% 1.10/1.27 ; Term-hash-array has 2,110 terms in all.
% 1.10/1.27 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 1.10/1.27 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 1.10/1.27 ; Path-index has 1,782 entries (1,782 at peak, 2,183 added, 401 deleted).
% 1.10/1.27 ; Path-index has 1,904 nodes (1,904 at peak, 2,014 added, 110 deleted).
% 1.10/1.27 ; Trie-index has 1,782 entries (1,782 at peak, 2,183 added, 401 deleted).
% 1.10/1.27 ; Trie-index has 1,270 nodes (1,307 at peak, 1,509 added, 239 deleted).
% 1.10/1.27 ; Retrieved 617,725 generalization terms in 20,154 calls.
% 1.10/1.27 ; Retrieved 1,487 instance terms in 503 calls.
% 1.10/1.27 ; Retrieved 10,915 unifiable terms in 425 calls.
% 1.10/1.27 ;
% 1.10/1.27 ; The agenda of rows to process has 10 entries:
% 1.10/1.27 ; 1 with value 16 1 with value 19 1 with value 21
% 1.10/1.27 ; 2 with value 18 5 with value 20
% 1.10/1.27 ; The agenda of rows to give has 492 entries:
% 1.10/1.27 ; 1 with value (4 14) 55 with value (4 23) 10 with value (4 31)
% 1.10/1.27 ; 1 with value (4 16) 52 with value (4 24) 9 with value (4 32)
% 1.10/1.27 ; 18 with value (4 17) 29 with value (4 25) 4 with value (4 33)
% 1.10/1.27 ; 15 with value (4 18) 20 with value (4 26) 2 with value (4 34)
% 1.10/1.27 ; 15 with value (4 19) 21 with value (4 27) 2 with value (4 36)
% 1.10/1.27 ; 35 with value (4 20) 45 with value (4 28) 4 with value (4 37)
% 1.10/1.27 ; 42 with value (4 21) 7 with value (4 29) 2 with value (4 39)
% 1.10/1.27 ; 79 with value (4 22) 24 with value (4 30)
% 1.10/1.27 Evaluation took:
% 1.10/1.27 0.811 seconds of real time
% 1.10/1.27 0.771211 seconds of user run time
% 1.10/1.27 0.038843 seconds of system run time
% 1.10/1.27 [Run times include 0.016 seconds GC run time.]
% 1.10/1.27 0 calls to %EVAL
% 1.10/1.27 0 page faults and
% 1.10/1.27 40,943,208 bytes consed.
% 1.10/1.27 :PROOF-FOUND
% 1.10/1.27 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-08T10:52:31
% 1.10/1.27 :PROOF-FOUND
% 1.10/1.27 *
%------------------------------------------------------------------------------