%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP166-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n005.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 : Sat Jul 16 11:37:13 EDT 2022
% Result : Unsatisfiable 0.48s 0.67s
% Output : Refutation 0.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of clauses : 13 ( 13 unt; 0 nHn; 3 RR)
% Number of literals : 13 ( 12 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 4 ( 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 : 16 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(left_identity,axiom,
multiply(identity,X) = X,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(left_inverse,axiom,
multiply(inverse(X),X) = identity,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(associativity,axiom,
multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',associativity) ).
cnf(monotony_lub1,axiom,
multiply(X,least_upper_bound(Y,Z)) = least_upper_bound(multiply(X,Y),multiply(X,Z)),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-2.ax',monotony_lub1) ).
cnf(lat2a_2,hypothesis,
least_upper_bound(b,identity) = b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lat2a_2) ).
cnf(prove_lat2a,negated_conjecture,
least_upper_bound(a,multiply(a,b)) != multiply(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_lat2a) ).
cnf(82,plain,
X = multiply(inverse(Y),multiply(Y,X)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[associativity,left_inverse,theory(equality)]),left_identity,theory(equality)]) ).
cnf(89,plain,
multiply(X,b) = least_upper_bound(multiply(X,b),multiply(X,identity)),
inference('PARAMODULATE',[status(thm)],[monotony_lub1,lat2a_2,theory(equality)]) ).
cnf(178,plain,
X = multiply(inverse(inverse(X)),identity),
inference('PARAMODULATE',[status(thm)],[82,left_inverse,theory(equality)]) ).
cnf(179,plain,
multiply(X,Y) = multiply(inverse(inverse(X)),Y),
inference('PARAMODULATE',[status(thm)],[82,82,theory(equality)]) ).
cnf(180,plain,
X = multiply(X,identity),
inference('REWRITE',[status(thm)],[178,179,theory(equality)]) ).
cnf(182,plain,
multiply(X,b) = least_upper_bound(multiply(X,b),X),
inference('REWRITE',[status(thm)],[89,180,theory(equality)]) ).
cnf(184,plain,
$false,
inference('REWRITE',[status(thm)],[prove_lat2a,182,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP166-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.35 % Computer : n005.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Tue Jun 14 07:45:39 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.47 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.48 *
% 0.20/0.48 *
% 0.20/0.48 #<PACKAGE "SNARK-USER">
% 0.20/0.48 *
% 0.20/0.48 SNARK-TPTP-OPTIONS
% 0.20/0.48 *
% 0.20/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48 (USE-FACTORING :POS)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48 *
% 0.20/0.48 "."
% 0.20/0.48 *
% 0.20/0.48 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-14T07:45:39
% 0.20/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n005.cluster.edu at 2022-06-14T07:45:39
% 0.20/0.50
% 0.20/0.50 ; Recognized left identity assertion (= (|multiply| |identity| ?X) ?X).
% 0.20/0.50 ; Recognized possible left inverse assertion (= (|multiply| (|inverse| ?X) ?X) |identity|).
% 0.20/0.50 ; Recognized associativity assertion (= (|multiply| (|multiply| ?X ?Y) ?Z) (|multiply| ?X (|multiply| ?Y ?Z))).
% 0.20/0.50 ; Recognized commutativity assertion (= (|greatest_lower_bound| ?X ?Y) (|greatest_lower_bound| ?Y ?X)).
% 0.20/0.50 ; Recognized commutativity assertion (= (|least_upper_bound| ?X ?Y) (|least_upper_bound| ?Y ?X)).
% 0.20/0.50 ; Recognized associativity assertion (= (|greatest_lower_bound| ?X (|greatest_lower_bound| ?Y ?Z)) (|greatest_lower_bound| (|greatest_lower_bound| ?X ?Y) ?Z)).
% 0.20/0.50 ; Recognized associativity assertion (= (|least_upper_bound| ?X (|least_upper_bound| ?Y ?Z)) (|least_upper_bound| (|least_upper_bound| ?X ?Y) ?Z)).
% 0.20/0.50 ; Declaring greatest_lower_bound to be commutative.
% 0.20/0.50 ; Declaring greatest_lower_bound to be associative-commutative.
% 0.20/0.50 ; Declaring least_upper_bound to be commutative.
% 0.48/0.67 ; Declaring least_upper_bound to be associative-commutative.
% 0.48/0.67
% 0.48/0.67 #||
% 0.48/0.67 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.48/0.67 % SZS output start Refutation
% See solution above
% 0.48/0.67 ||#
% 0.48/0.67
% 0.48/0.67 ; Summary of computation:
% 0.48/0.67 ; 1117 formulas have been input or derived (from 34 formulas).
% 0.48/0.67 ; 184 (16%) were retained. Of these,
% 0.48/0.67 ; 20 (11%) were simplified or subsumed later,
% 0.48/0.67 ; 164 (89%) are still being kept.
% 0.48/0.67 ;
% 0.48/0.67 ; Run time in seconds excluding printing time:
% 0.48/0.67 ; 0.003 2% Read assertion file (1 call)
% 0.48/0.67 ; 0.001 1% Assert (18 calls)
% 0.48/0.67 ; 0.016 9% Process new row (1,042 calls)
% 0.48/0.67 ; 0.001 1% Resolution (66 calls)
% 0.48/0.67 ; 0.019 10% Paramodulation (33 calls)
% 0.48/0.67 ; 0.005 3% Embedding (85 calls)
% 0.48/0.67 ; 0.101 54% Forward simplification (961 calls)
% 0.48/0.67 ; 0.003 2% Backward simplification (103 calls)
% 0.48/0.67 ; 0.002 1% Ordering (923 calls)
% 0.48/0.67 ; 0.006 3% Ordering ac (324 calls)
% 0.48/0.67 ; 0.001 1% Sortal reasoning (32 calls)
% 0.48/0.67 ; 0.000 0% Purity testing (1 call)
% 0.48/0.67 ; 0.028 15% Other
% 0.48/0.67 ; 0.186 Total
% 0.48/0.67 ; 0.189 Real time
% 0.48/0.67 ;
% 0.48/0.67 ; Term-hash-array has 536 terms in all.
% 0.48/0.67 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.48/0.67 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.48/0.67 ; Path-index has 490 entries (533 at peak, 543 added, 53 deleted).
% 0.48/0.67 ; Path-index has 332 nodes (352 at peak, 355 added, 23 deleted).
% 0.48/0.67 ; Trie-index has 490 entries (533 at peak, 543 added, 53 deleted).
% 0.48/0.67 ; Trie-index has 194 nodes (214 at peak, 228 added, 34 deleted).
% 0.48/0.67 ; Retrieved 109,953 generalization terms in 9,177 calls.
% 0.48/0.67 ; Retrieved 320 instance terms in 126 calls.
% 0.48/0.67 ; Retrieved 1,924 unifiable terms in 168 calls.
% 0.48/0.67 ;
% 0.48/0.67 ; The agenda of backward simplifiable rows to process has 7 entries:
% 0.48/0.67 ; 7 with value 0
% 0.48/0.67 ; The agenda of rows to process has 8 entries:
% 0.48/0.67 ; 4 with value 18 4 with value 20
% 0.48/0.67 ; The agenda of rows to give has 131 entries:
% 0.48/0.67 ; 1 with value (4 9) 8 with value (4 18) 4 with value (4 25)
% 0.48/0.67 ; 1 with value (4 11) 8 with value (4 19) 4 with value (4 27)
% 0.48/0.67 ; 4 with value (4 12) 9 with value (4 20) 12 with value (4 28)
% 0.48/0.67 ; 7 with value (4 13) 16 with value (4 21) 4 with value (4 30)
% 0.48/0.67 ; 5 with value (4 15) 12 with value (4 22) 4 with value (4 31)
% 0.48/0.67 ; 4 with value (4 16) 8 with value (4 23) 4 with value (4 33)
% 0.48/0.67 ; 8 with value (4 17) 4 with value (4 24) 4 with value (4 36)
% 0.48/0.67 Evaluation took:
% 0.48/0.67 0.189 seconds of real time
% 0.48/0.67 0.180534 seconds of user run time
% 0.48/0.67 0.008044 seconds of system run time
% 0.48/0.67 0 calls to %EVAL
% 0.48/0.67 0 page faults and
% 0.48/0.67 11,884,696 bytes consed.
% 0.48/0.67 :PROOF-FOUND
% 0.48/0.67 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-14T07:45:39
% 0.48/0.67 :PROOF-FOUND
% 0.48/0.67 *
%------------------------------------------------------------------------------