TSTP Solution File: GRP166-3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP166-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% 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 : Sat Jul 16 11:37:13 EDT 2022
% Result : Unsatisfiable 0.44s 0.62s
% Output : Refutation 0.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 4
% Syntax : Number of clauses : 6 ( 6 unt; 0 nHn; 3 RR)
% Number of literals : 6 ( 5 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 3 ( 1 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 : 5 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(left_identity,axiom,
multiply(identity,X) = X,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(monotony_lub2,axiom,
multiply(least_upper_bound(X,Y),Z) = least_upper_bound(multiply(X,Z),multiply(Y,Z)),
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-2.ax',monotony_lub2) ).
cnf(lat3a_2,hypothesis,
least_upper_bound(b,identity) = b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lat3a_2) ).
cnf(prove_lat3a,negated_conjecture,
least_upper_bound(a,multiply(b,a)) != multiply(b,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_lat3a) ).
cnf(105,plain,
multiply(b,X) = least_upper_bound(multiply(b,X),X),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[monotony_lub2,lat3a_2,theory(equality)]),left_identity,theory(equality)]) ).
cnf(107,plain,
$false,
inference('REWRITE',[status(thm)],[prove_lat3a,105,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : GRP166-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.11/0.14 % Command : run-snark %s %d
% 0.15/0.35 % Computer : n027.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 600
% 0.15/0.35 % DateTime : Tue Jun 14 02:06:32 EDT 2022
% 0.15/0.35 % CPUTime :
% 0.22/0.48 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.49 *
% 0.22/0.49 *
% 0.22/0.50 #<PACKAGE "SNARK-USER">
% 0.22/0.50 *
% 0.22/0.50 SNARK-TPTP-OPTIONS
% 0.22/0.50 *
% 0.22/0.50 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.22/0.50 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.22/0.50 (USE-FACTORING :POS)
% 0.22/0.50 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.22/0.50 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.22/0.50 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.22/0.50 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.22/0.50 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.22/0.50 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.22/0.50 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.22/0.50 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.22/0.50 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.22/0.50 (DECLARE-TPTP-SYMBOLS2))
% 0.22/0.50 *
% 0.22/0.50 "."
% 0.22/0.50 *
% 0.22/0.50 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T02:06:33
% 0.22/0.50 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n027.cluster.edu at 2022-06-14T02:06:33
% 0.22/0.51
% 0.22/0.51 ; Recognized left identity assertion (= (|multiply| |identity| ?X) ?X).
% 0.22/0.51 ; Recognized possible left inverse assertion (= (|multiply| (|inverse| ?X) ?X) |identity|).
% 0.22/0.51 ; Recognized associativity assertion (= (|multiply| (|multiply| ?X ?Y) ?Z) (|multiply| ?X (|multiply| ?Y ?Z))).
% 0.22/0.51 ; Recognized commutativity assertion (= (|greatest_lower_bound| ?X ?Y) (|greatest_lower_bound| ?Y ?X)).
% 0.22/0.51 ; Recognized commutativity assertion (= (|least_upper_bound| ?X ?Y) (|least_upper_bound| ?Y ?X)).
% 0.22/0.51 ; Recognized associativity assertion (= (|greatest_lower_bound| ?X (|greatest_lower_bound| ?Y ?Z)) (|greatest_lower_bound| (|greatest_lower_bound| ?X ?Y) ?Z)).
% 0.22/0.51 ; Recognized associativity assertion (= (|least_upper_bound| ?X (|least_upper_bound| ?Y ?Z)) (|least_upper_bound| (|least_upper_bound| ?X ?Y) ?Z)).
% 0.22/0.51 ; Declaring greatest_lower_bound to be commutative.
% 0.22/0.51 ; Declaring greatest_lower_bound to be associative-commutative.
% 0.22/0.51 ; Declaring least_upper_bound to be commutative.
% 0.44/0.62 ; Declaring least_upper_bound to be associative-commutative.
% 0.44/0.62
% 0.44/0.62 #||
% 0.44/0.62 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.44/0.62 % SZS output start Refutation
% See solution above
% 0.44/0.62 ||#
% 0.44/0.62
% 0.44/0.62 ; Summary of computation:
% 0.44/0.62 ; 565 formulas have been input or derived (from 20 formulas).
% 0.44/0.62 ; 107 (19%) were retained. Of these,
% 0.44/0.62 ; 1 ( 1%) were simplified or subsumed later,
% 0.44/0.62 ; 106 (99%) are still being kept.
% 0.44/0.62 ;
% 0.44/0.62 ; Run time in seconds excluding printing time:
% 0.44/0.62 ; 0.004 3% Read assertion file (1 call)
% 0.44/0.62 ; 0.001 1% Assert (18 calls)
% 0.44/0.62 ; 0.014 11% Process new row (474 calls)
% 0.44/0.62 ; 0.004 3% Resolution (38 calls)
% 0.44/0.62 ; 0.012 9% Paramodulation (19 calls)
% 0.44/0.62 ; 0.002 2% Embedding (49 calls)
% 0.44/0.62 ; 0.061 48% Forward simplification (429 calls)
% 0.44/0.63 ; 0.002 2% Backward simplification (62 calls)
% 0.44/0.63 ; 0.001 1% Ordering (422 calls)
% 0.44/0.63 ; 0.002 2% Ordering ac (126 calls)
% 0.44/0.63 ; 0.000 0% Sortal reasoning (32 calls)
% 0.44/0.63 ; 0.000 0% Purity testing (1 call)
% 0.44/0.63 ; 0.024 19% Other
% 0.44/0.63 ; 0.127 Total
% 0.44/0.63 ; 0.128 Real time
% 0.44/0.63 ;
% 0.44/0.63 ; Term-hash-array has 325 terms in all.
% 0.44/0.63 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.44/0.63 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.44/0.63 ; Path-index has 325 entries (325 at peak, 328 added, 3 deleted).
% 0.44/0.63 ; Path-index has 269 nodes (269 at peak, 269 added, 0 deleted).
% 0.44/0.63 ; Trie-index has 325 entries (325 at peak, 328 added, 3 deleted).
% 0.44/0.63 ; Trie-index has 182 nodes (186 at peak, 186 added, 4 deleted).
% 0.44/0.63 ; Retrieved 31,395 generalization terms in 3,771 calls.
% 0.44/0.63 ; Retrieved 235 instance terms in 81 calls.
% 0.44/0.63 ; Retrieved 377 unifiable terms in 93 calls.
% 0.44/0.63 ;
% 0.44/0.63 ; The agenda of rows to process has 77 entries:
% 0.44/0.63 ; 2 with value 15 4 with value 23 7 with value 30
% 0.44/0.63 ; 2 with value 18 16 with value 24 2 with value 32
% 0.44/0.63 ; 2 with value 19 8 with value 26 2 with value 34
% 0.44/0.63 ; 16 with value 20 4 with value 27 1 with value 36
% 0.44/0.63 ; 7 with value 22 4 with value 28
% 0.44/0.63 ; The agenda of input rows to give has 1 entry:
% 0.44/0.63 ; 1 with value 16
% 0.44/0.63 ; The agenda of rows to give has 86 entries:
% 0.44/0.63 ; 4 with value (4 8) 4 with value (4 18) 4 with value (4 27)
% 0.44/0.63 ; 8 with value (4 11) 9 with value (4 20) 8 with value (4 28)
% 0.44/0.63 ; 1 with value (4 12) 8 with value (4 21) 4 with value (4 30)
% 0.44/0.63 ; 3 with value (4 13) 4 with value (4 22) 4 with value (4 31)
% 0.44/0.63 ; 9 with value (4 15) 4 with value (4 24) 4 with value (4 33)
% 0.44/0.63 ; 4 with value (4 17) 4 with value (4 25)
% 0.44/0.63 Evaluation took:
% 0.44/0.63 0.129 seconds of real time
% 0.44/0.63 0.117787 seconds of user run time
% 0.44/0.63 0.011069 seconds of system run time
% 0.44/0.63 0 calls to %EVAL
% 0.44/0.63 0 page faults and
% 0.44/0.63 6,682,768 bytes consed.
% 0.44/0.63 :PROOF-FOUND
% 0.44/0.63 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T02:06:33
% 0.44/0.63 :PROOF-FOUND
% 0.44/0.63 *
%------------------------------------------------------------------------------