TSTP Solution File: GRP157-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP157-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n032.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 11:37:10 EDT 2022
% Result : Unsatisfiable 0.15s 0.45s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 3
% Syntax : Number of clauses : 5 ( 5 unt; 0 nHn; 3 RR)
% Number of literals : 5 ( 4 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 3 ( 2 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 : 4 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(monotony_lub1,axiom,
multiply(X,least_upper_bound(Y,Z)) = least_upper_bound(multiply(X,Y),multiply(X,Z)),
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-2.ax',monotony_lub1) ).
cnf(ax_mono2a_1,hypothesis,
least_upper_bound(a,b) = b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_mono2a_1) ).
cnf(prove_ax_mono2a,negated_conjecture,
least_upper_bound(multiply(c,a),multiply(c,b)) != multiply(c,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ax_mono2a) ).
cnf(75,plain,
multiply(X,b) = least_upper_bound(multiply(X,a),multiply(X,b)),
inference('PARAMODULATE',[status(thm)],[monotony_lub1,ax_mono2a_1,theory(equality)]) ).
cnf(77,plain,
$false,
inference('REWRITE',[status(thm)],[prove_ax_mono2a,75,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : GRP157-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.10/0.10 % Command : run-snark %s %d
% 0.10/0.30 % Computer : n032.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 600
% 0.10/0.30 % DateTime : Mon Jun 13 20:53:27 EDT 2022
% 0.10/0.30 % CPUTime :
% 0.15/0.39 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.39 *
% 0.15/0.39 *
% 0.15/0.40 #<PACKAGE "SNARK-USER">
% 0.15/0.40 *
% 0.15/0.40 SNARK-TPTP-OPTIONS
% 0.15/0.40 *
% 0.15/0.40 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.15/0.40 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.15/0.40 (USE-FACTORING :POS)
% 0.15/0.40 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.15/0.40 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.15/0.40 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.15/0.40 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.15/0.40 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.15/0.40 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.15/0.40 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.15/0.40 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.15/0.40 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.15/0.40 (DECLARE-TPTP-SYMBOLS2))
% 0.15/0.40 *
% 0.15/0.40 "."
% 0.15/0.40 *
% 0.15/0.40 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-13T20:53:27
% 0.15/0.40 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n032.cluster.edu at 2022-06-13T20:53:27
% 0.15/0.41
% 0.15/0.41 ; Recognized left identity assertion (= (|multiply| |identity| ?X) ?X).
% 0.15/0.41 ; Recognized possible left inverse assertion (= (|multiply| (|inverse| ?X) ?X) |identity|).
% 0.15/0.41 ; Recognized associativity assertion (= (|multiply| (|multiply| ?X ?Y) ?Z) (|multiply| ?X (|multiply| ?Y ?Z))).
% 0.15/0.41 ; Recognized commutativity assertion (= (|greatest_lower_bound| ?X ?Y) (|greatest_lower_bound| ?Y ?X)).
% 0.15/0.41 ; Recognized commutativity assertion (= (|least_upper_bound| ?X ?Y) (|least_upper_bound| ?Y ?X)).
% 0.15/0.41 ; Recognized associativity assertion (= (|greatest_lower_bound| ?X (|greatest_lower_bound| ?Y ?Z)) (|greatest_lower_bound| (|greatest_lower_bound| ?X ?Y) ?Z)).
% 0.15/0.41 ; Recognized associativity assertion (= (|least_upper_bound| ?X (|least_upper_bound| ?Y ?Z)) (|least_upper_bound| (|least_upper_bound| ?X ?Y) ?Z)).
% 0.15/0.41 ; Declaring greatest_lower_bound to be commutative.
% 0.15/0.41 ; Declaring greatest_lower_bound to be associative-commutative.
% 0.15/0.41 ; Declaring least_upper_bound to be commutative.
% 0.15/0.45 ; Declaring least_upper_bound to be associative-commutative.
% 0.15/0.45
% 0.15/0.45 #||
% 0.15/0.45 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.45 % SZS output start Refutation
% See solution above
% 0.15/0.45 ||#
% 0.15/0.45
% 0.15/0.45 ; Summary of computation:
% 0.15/0.45 ; 373 formulas have been input or derived (from 16 formulas).
% 0.15/0.45 ; 77 (21%) were retained. Of these,
% 0.15/0.45 ; 1 ( 1%) were simplified or subsumed later,
% 0.15/0.45 ; 76 (99%) are still being kept.
% 0.15/0.45 ;
% 0.15/0.45 ; Run time in seconds excluding printing time:
% 0.15/0.45 ; 0.002 4% Read assertion file (1 call)
% 0.15/0.45 ; 0.000 0% Assert (17 calls)
% 0.15/0.45 ; 0.007 14% Process new row (297 calls)
% 0.15/0.45 ; 0.000 0% Resolution (30 calls)
% 0.15/0.45 ; 0.004 8% Paramodulation (15 calls)
% 0.15/0.45 ; 0.002 4% Embedding (34 calls)
% 0.15/0.45 ; 0.020 40% Forward simplification (267 calls)
% 0.15/0.45 ; 0.000 0% Backward simplification (47 calls)
% 0.15/0.45 ; 0.000 0% Ordering (264 calls)
% 0.15/0.45 ; 0.001 2% Ordering ac (75 calls)
% 0.15/0.45 ; 0.000 0% Sortal reasoning (32 calls)
% 0.15/0.45 ; 0.000 0% Purity testing (1 call)
% 0.15/0.45 ; 0.014 28% Other
% 0.15/0.45 ; 0.050 Total
% 0.15/0.45 ; 0.052 Real time
% 0.15/0.45 ;
% 0.15/0.45 ; Term-hash-array has 236 terms in all.
% 0.15/0.45 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.15/0.45 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.15/0.45 ; Path-index has 236 entries (237 at peak, 241 added, 5 deleted).
% 0.15/0.45 ; Path-index has 197 nodes (201 at peak, 202 added, 5 deleted).
% 0.15/0.45 ; Trie-index has 236 entries (237 at peak, 241 added, 5 deleted).
% 0.15/0.45 ; Trie-index has 166 nodes (172 at peak, 173 added, 7 deleted).
% 0.15/0.45 ; Retrieved 8,202 generalization terms in 1,422 calls.
% 0.15/0.45 ; Retrieved 194 instance terms in 58 calls.
% 0.15/0.45 ; Retrieved 260 unifiable terms in 75 calls.
% 0.15/0.45 ;
% 0.15/0.45 ; The agenda of rows to process has 65 entries:
% 0.15/0.45 ; 1 with value 15 7 with value 22 2 with value 28
% 0.15/0.45 ; 2 with value 18 4 with value 23 7 with value 30
% 0.15/0.45 ; 2 with value 19 12 with value 24 2 with value 32
% 0.15/0.45 ; 10 with value 20 8 with value 26 2 with value 34
% 0.15/0.45 ; 1 with value 21 4 with value 27 1 with value 36
% 0.15/0.45 ; The agenda of input rows to give has 3 entries:
% 0.15/0.45 ; 3 with value 16
% 0.15/0.45 ; The agenda of rows to give has 58 entries:
% 0.15/0.45 ; 2 with value (4 8) 2 with value (4 18) 4 with value (4 25)
% 0.15/0.45 ; 4 with value (4 11) 9 with value (4 20) 4 with value (4 27)
% 0.15/0.45 ; 1 with value (4 12) 4 with value (4 21) 4 with value (4 30)
% 0.15/0.45 ; 1 with value (4 13) 4 with value (4 22) 4 with value (4 31)
% 0.15/0.45 ; 5 with value (4 15) 4 with value (4 24) 4 with value (4 33)
% 0.15/0.45 ; 2 with value (4 17)
% 0.15/0.45 Evaluation took:
% 0.15/0.45 0.052 seconds of real time
% 0.15/0.45 0.046288 seconds of user run time
% 0.15/0.45 0.005399 seconds of system run time
% 0.15/0.45 0 calls to %EVAL
% 0.15/0.45 0 page faults and
% 0.15/0.45 4,762,576 bytes consed.
% 0.15/0.45 :PROOF-FOUND
% 0.15/0.45 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-13T20:53:27
% 0.15/0.45 :PROOF-FOUND
% 0.15/0.45 *
%------------------------------------------------------------------------------