TSTP Solution File: GRP155-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP155-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n018.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 0.38s 0.62s
% Output : Refutation 0.38s
% 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_glb2,axiom,
multiply(greatest_lower_bound(X,Y),Z) = greatest_lower_bound(multiply(X,Z),multiply(Y,Z)),
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-2.ax',monotony_glb2) ).
cnf(ax_mono1b,hypothesis,
greatest_lower_bound(a,b) = a,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_mono1b) ).
cnf(prove_ax_mono1b,negated_conjecture,
greatest_lower_bound(multiply(a,c),multiply(b,c)) != multiply(a,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ax_mono1b) ).
cnf(93,plain,
multiply(a,X) = greatest_lower_bound(multiply(a,X),multiply(b,X)),
inference('PARAMODULATE',[status(thm)],[monotony_glb2,ax_mono1b,theory(equality)]) ).
cnf(95,plain,
$false,
inference('REWRITE',[status(thm)],[prove_ax_mono1b,93,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP155-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n018.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jun 13 10:51:12 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 0.20/0.47 #<PACKAGE "SNARK-USER">
% 0.20/0.47 *
% 0.20/0.47 SNARK-TPTP-OPTIONS
% 0.20/0.47 *
% 0.20/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47 (USE-FACTORING :POS)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47 *
% 0.20/0.47 "."
% 0.20/0.47 *
% 0.20/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-13T10:51:12
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n018.cluster.edu at 2022-06-13T10:51:12
% 0.20/0.49
% 0.20/0.49 ; Recognized left identity assertion (= (|multiply| |identity| ?X) ?X).
% 0.20/0.49 ; Recognized possible left inverse assertion (= (|multiply| (|inverse| ?X) ?X) |identity|).
% 0.20/0.49 ; Recognized associativity assertion (= (|multiply| (|multiply| ?X ?Y) ?Z) (|multiply| ?X (|multiply| ?Y ?Z))).
% 0.20/0.49 ; Recognized commutativity assertion (= (|greatest_lower_bound| ?X ?Y) (|greatest_lower_bound| ?Y ?X)).
% 0.20/0.49 ; Recognized commutativity assertion (= (|least_upper_bound| ?X ?Y) (|least_upper_bound| ?Y ?X)).
% 0.20/0.49 ; Recognized associativity assertion (= (|greatest_lower_bound| ?X (|greatest_lower_bound| ?Y ?Z)) (|greatest_lower_bound| (|greatest_lower_bound| ?X ?Y) ?Z)).
% 0.20/0.49 ; Recognized associativity assertion (= (|least_upper_bound| ?X (|least_upper_bound| ?Y ?Z)) (|least_upper_bound| (|least_upper_bound| ?X ?Y) ?Z)).
% 0.20/0.49 ; Declaring greatest_lower_bound to be commutative.
% 0.20/0.49 ; Declaring greatest_lower_bound to be associative-commutative.
% 0.20/0.49 ; Declaring least_upper_bound to be commutative.
% 0.38/0.62 ; Declaring least_upper_bound to be associative-commutative.
% 0.38/0.62
% 0.38/0.62 #||
% 0.38/0.62 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.38/0.62 % SZS output start Refutation
% See solution above
% 0.38/0.62 ||#
% 0.38/0.62
% 0.38/0.62 ; Summary of computation:
% 0.38/0.62 ; 562 formulas have been input or derived (from 19 formulas).
% 0.38/0.62 ; 95 (17%) were retained. Of these,
% 0.38/0.62 ; 1 ( 1%) were simplified or subsumed later,
% 0.38/0.62 ; 94 (99%) are still being kept.
% 0.38/0.62 ;
% 0.38/0.62 ; Run time in seconds excluding printing time:
% 0.38/0.62 ; 0.004 3% Read assertion file (1 call)
% 0.38/0.62 ; 0.001 1% Assert (17 calls)
% 0.38/0.62 ; 0.014 10% Process new row (484 calls)
% 0.38/0.62 ; 0.001 1% Resolution (36 calls)
% 0.38/0.62 ; 0.015 11% Paramodulation (18 calls)
% 0.38/0.62 ; 0.000 0% Embedding (43 calls)
% 0.38/0.62 ; 0.074 53% Forward simplification (445 calls)
% 0.38/0.62 ; 0.002 1% Backward simplification (56 calls)
% 0.38/0.62 ; 0.004 3% Ordering (420 calls)
% 0.38/0.62 ; 0.002 1% Ordering ac (125 calls)
% 0.38/0.62 ; 0.000 0% Sortal reasoning (32 calls)
% 0.38/0.62 ; 0.000 0% Purity testing (1 call)
% 0.38/0.62 ; 0.023 16% Other
% 0.38/0.62 ; 0.140 Total
% 0.38/0.62 ; 0.142 Real time
% 0.38/0.62 ;
% 0.38/0.62 ; Term-hash-array has 308 terms in all.
% 0.38/0.62 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.38/0.62 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.38/0.62 ; Path-index has 308 entries (309 at peak, 313 added, 5 deleted).
% 0.38/0.62 ; Path-index has 298 nodes (302 at peak, 303 added, 5 deleted).
% 0.38/0.62 ; Trie-index has 308 entries (309 at peak, 313 added, 5 deleted).
% 0.38/0.62 ; Trie-index has 181 nodes (186 at peak, 187 added, 6 deleted).
% 0.38/0.62 ; Retrieved 32,717 generalization terms in 4,497 calls.
% 0.38/0.62 ; Retrieved 233 instance terms in 77 calls.
% 0.38/0.62 ; Retrieved 343 unifiable terms in 90 calls.
% 0.38/0.62 ;
% 0.38/0.62 ; The agenda of rows to process has 66 entries:
% 0.38/0.62 ; 1 with value 15 4 with value 23 7 with value 30
% 0.38/0.62 ; 2 with value 18 12 with value 24 2 with value 32
% 0.38/0.62 ; 2 with value 19 8 with value 26 2 with value 34
% 0.38/0.62 ; 10 with value 20 4 with value 27 1 with value 36
% 0.38/0.62 ; 7 with value 22 4 with value 28
% 0.38/0.62 ; The agenda of rows to give has 76 entries:
% 0.38/0.62 ; 2 with value (4 8) 2 with value (4 18) 4 with value (4 27)
% 0.38/0.62 ; 4 with value (4 11) 9 with value (4 20) 10 with value (4 28)
% 0.38/0.62 ; 1 with value (4 12) 8 with value (4 21) 4 with value (4 30)
% 0.38/0.62 ; 1 with value (4 13) 4 with value (4 22) 4 with value (4 31)
% 0.38/0.62 ; 7 with value (4 15) 4 with value (4 24) 4 with value (4 33)
% 0.38/0.62 ; 2 with value (4 17) 4 with value (4 25) 2 with value (4 36)
% 0.38/0.62 Evaluation took:
% 0.38/0.62 0.143 seconds of real time
% 0.38/0.62 0.131945 seconds of user run time
% 0.38/0.62 0.009353 seconds of system run time
% 0.38/0.62 0 calls to %EVAL
% 0.38/0.62 0 page faults and
% 0.38/0.62 7,117,672 bytes consed.
% 0.38/0.62 :PROOF-FOUND
% 0.38/0.62 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-13T10:51:12
% 0.38/0.62 :PROOF-FOUND
% 0.38/0.62 *
%------------------------------------------------------------------------------