TSTP Solution File: GRP159-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP159-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n024.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 11:37:11 EDT 2022
% Result : Unsatisfiable 0.42s 0.59s
% Output : Refutation 0.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of clauses : 7 ( 7 unt; 0 nHn; 4 RR)
% Number of literals : 7 ( 6 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 : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 6 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(lub_absorbtion,axiom,
least_upper_bound(X,greatest_lower_bound(X,Y)) = X,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-2.ax',lub_absorbtion) ).
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_mono2c_1,hypothesis,
greatest_lower_bound(a,b) = a,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_mono2c_1) ).
cnf(prove_ax_mono2c,negated_conjecture,
least_upper_bound(multiply(c,a),multiply(c,b)) != multiply(c,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ax_mono2c) ).
cnf(19,plain,
least_upper_bound(b,a) = b,
inference('PARAMODULATE',[status(thm)],[lub_absorbtion,ax_mono2c_1,theory(equality)]) ).
cnf(101,plain,
multiply(X,b) = least_upper_bound(multiply(X,b),multiply(X,a)),
inference('PARAMODULATE',[status(thm)],[monotony_lub1,19,theory(equality)]) ).
cnf(103,plain,
$false,
inference('REWRITE',[status(thm)],[prove_ax_mono2c,101,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GRP159-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.03/0.12 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n024.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 : Mon Jun 13 22:17:18 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45 *
% 0.18/0.45 *
% 0.18/0.46 #<PACKAGE "SNARK-USER">
% 0.18/0.46 *
% 0.18/0.46 SNARK-TPTP-OPTIONS
% 0.18/0.46 *
% 0.18/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46 (USE-FACTORING :POS)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46 *
% 0.18/0.46 "."
% 0.18/0.46 *
% 0.18/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-13T22:17:18
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n024.cluster.edu at 2022-06-13T22:17:18
% 0.18/0.47
% 0.18/0.47 ; Recognized left identity assertion (= (|multiply| |identity| ?X) ?X).
% 0.18/0.47 ; Recognized possible left inverse assertion (= (|multiply| (|inverse| ?X) ?X) |identity|).
% 0.18/0.47 ; Recognized associativity assertion (= (|multiply| (|multiply| ?X ?Y) ?Z) (|multiply| ?X (|multiply| ?Y ?Z))).
% 0.18/0.47 ; Recognized commutativity assertion (= (|greatest_lower_bound| ?X ?Y) (|greatest_lower_bound| ?Y ?X)).
% 0.18/0.47 ; Recognized commutativity assertion (= (|least_upper_bound| ?X ?Y) (|least_upper_bound| ?Y ?X)).
% 0.18/0.47 ; Recognized associativity assertion (= (|greatest_lower_bound| ?X (|greatest_lower_bound| ?Y ?Z)) (|greatest_lower_bound| (|greatest_lower_bound| ?X ?Y) ?Z)).
% 0.18/0.47 ; Recognized associativity assertion (= (|least_upper_bound| ?X (|least_upper_bound| ?Y ?Z)) (|least_upper_bound| (|least_upper_bound| ?X ?Y) ?Z)).
% 0.18/0.47 ; Declaring greatest_lower_bound to be commutative.
% 0.18/0.47 ; Declaring greatest_lower_bound to be associative-commutative.
% 0.18/0.47 ; Declaring least_upper_bound to be commutative.
% 0.42/0.59 ; Declaring least_upper_bound to be associative-commutative.
% 0.42/0.59
% 0.42/0.59 #||
% 0.42/0.59 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.42/0.59 % SZS output start Refutation
% See solution above
% 0.42/0.60 ||#
% 0.42/0.60
% 0.42/0.60 ; Summary of computation:
% 0.42/0.60 ; 573 formulas have been input or derived (from 20 formulas).
% 0.42/0.60 ; 103 (18%) were retained. Of these,
% 0.42/0.60 ; 1 ( 1%) were simplified or subsumed later,
% 0.42/0.60 ; 102 (99%) are still being kept.
% 0.42/0.60 ;
% 0.42/0.60 ; Run time in seconds:
% 0.42/0.60 ; 0.004 3% Read assertion file (1 call)
% 0.42/0.60 ; 0.001 1% Assert (17 calls)
% 0.42/0.60 ; 0.010 7% Process new row (559 calls)
% 0.42/0.60 ; 0.001 1% Resolution (38 calls)
% 0.42/0.60 ; 0.012 9% Paramodulation (19 calls)
% 0.42/0.60 ; 0.003 2% Embedding (47 calls)
% 0.42/0.60 ; 0.070 51% Forward simplification (516 calls)
% 0.42/0.60 ; 0.005 4% Backward simplification (60 calls)
% 0.42/0.60 ; 0.005 4% Ordering (467 calls)
% 0.42/0.60 ; 0.000 0% Ordering ac (148 calls)
% 0.42/0.60 ; 0.000 0% Sortal reasoning (32 calls)
% 0.42/0.60 ; 0.000 0% Purity testing (1 call)
% 0.42/0.60 ; 0.026 19% Other
% 0.42/0.60 ; 0.137 Total
% 0.42/0.60 ; 0.137 Real time
% 0.42/0.60 ;
% 0.42/0.60 ; Term-hash-array has 339 terms in all.
% 0.42/0.60 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.42/0.60 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.42/0.60 ; Path-index has 339 entries (340 at peak, 344 added, 5 deleted).
% 0.42/0.60 ; Path-index has 308 nodes (312 at peak, 313 added, 5 deleted).
% 0.42/0.60 ; Trie-index has 339 entries (340 at peak, 344 added, 5 deleted).
% 0.42/0.60 ; Trie-index has 186 nodes (192 at peak, 193 added, 7 deleted).
% 0.42/0.60 ; Retrieved 42,823 generalization terms in 5,654 calls.
% 0.42/0.60 ; Retrieved 253 instance terms in 83 calls.
% 0.42/0.60 ; Retrieved 429 unifiable terms in 96 calls.
% 0.42/0.60 ;
% 0.42/0.60 ; The agenda of rows to give has 83 entries:
% 0.42/0.60 ; 1 with value (4 8) 2 with value (4 18) 4 with value (4 27)
% 0.42/0.60 ; 4 with value (4 11) 9 with value (4 20) 12 with value (4 28)
% 0.42/0.60 ; 1 with value (4 12) 8 with value (4 21) 4 with value (4 30)
% 0.42/0.60 ; 1 with value (4 13) 4 with value (4 22) 4 with value (4 31)
% 0.42/0.60 ; 7 with value (4 15) 4 with value (4 24) 4 with value (4 33)
% 0.42/0.60 ; 4 with value (4 16) 4 with value (4 25) 4 with value (4 36)
% 0.42/0.60 ; 2 with value (4 17)
% 0.42/0.60 Evaluation took:
% 0.42/0.60 0.137 seconds of real time
% 0.42/0.60 0.131215 seconds of user run time
% 0.42/0.60 0.006382 seconds of system run time
% 0.42/0.60 0 calls to %EVAL
% 0.42/0.60 0 page faults and
% 0.42/0.60 8,026,696 bytes consed.
% 0.42/0.60 :PROOF-FOUND
% 0.42/0.60 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-13T22:17:18
% 0.42/0.60 :PROOF-FOUND
% 0.42/0.60 *
%------------------------------------------------------------------------------