TSTP Solution File: GRP148-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP148-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n015.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 11:37:08 EDT 2022
% Result : Unsatisfiable 0.46s 0.66s
% Output : Refutation 0.46s
% 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 : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 4 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(glb_absorbtion,axiom,
greatest_lower_bound(X,least_upper_bound(X,Y)) = X,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-2.ax',glb_absorbtion) ).
cnf(ax_lub1c_1,hypothesis,
least_upper_bound(a,c) = c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_lub1c_1) ).
cnf(ax_lub1c_2,hypothesis,
least_upper_bound(b,c) = c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_lub1c_2) ).
cnf(19,plain,
least_upper_bound(b,least_upper_bound(c,X)) = least_upper_bound(c,X),
inference('EMBED',[status(thm)],[ax_lub1c_2]) ).
cnf(prove_ax_lub1c,negated_conjecture,
greatest_lower_bound(least_upper_bound(a,b),c) != least_upper_bound(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ax_lub1c) ).
cnf(43,plain,
greatest_lower_bound(least_upper_bound(X,b),least_upper_bound(c,X)) = least_upper_bound(X,b),
inference('PARAMODULATE',[status(thm)],[glb_absorbtion,19,theory(equality)]) ).
cnf(210,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[43,ax_lub1c_1,theory(equality)]),prove_ax_lub1c]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : GRP148-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.11/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n015.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jun 13 06:06:22 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45 *
% 0.18/0.45 *
% 0.18/0.45 #<PACKAGE "SNARK-USER">
% 0.18/0.45 *
% 0.18/0.45 SNARK-TPTP-OPTIONS
% 0.18/0.45 *
% 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 2022-06-13T06:06:22
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n015.cluster.edu at 2022-06-13T06:06:22
% 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.
% 0.46/0.66 ; Declaring least_upper_bound to be associative-commutative.
% 0.46/0.66
% 0.46/0.66 #||
% 0.46/0.66 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.46/0.66 % SZS output start Refutation
% See solution above
% 0.46/0.66 ||#
% 0.46/0.66
% 0.46/0.66 ; Summary of computation:
% 0.46/0.66 ; 1231 formulas have been input or derived (from 41 formulas).
% 0.46/0.66 ; 210 (17%) were retained. Of these,
% 0.46/0.66 ; 6 ( 3%) were simplified or subsumed later,
% 0.46/0.66 ; 204 (97%) are still being kept.
% 0.46/0.66 ;
% 0.46/0.66 ; Run time in seconds excluding printing time:
% 0.46/0.66 ; 0.004 2% Read assertion file (1 call)
% 0.46/0.66 ; 0.001 0% Assert (18 calls)
% 0.46/0.66 ; 0.019 9% Process new row (1,126 calls)
% 0.46/0.66 ; 0.000 0% Resolution (80 calls)
% 0.46/0.66 ; 0.027 13% Paramodulation (40 calls)
% 0.46/0.66 ; 0.005 2% Embedding (92 calls)
% 0.46/0.66 ; 0.105 52% Forward simplification (1,038 calls)
% 0.46/0.66 ; 0.005 2% Backward simplification (122 calls)
% 0.46/0.66 ; 0.005 2% Ordering (1,200 calls)
% 0.46/0.66 ; 0.002 1% Ordering ac (351 calls)
% 0.46/0.66 ; 0.000 0% Sortal reasoning (32 calls)
% 0.46/0.66 ; 0.000 0% Purity testing (1 call)
% 0.46/0.66 ; 0.028 14% Other
% 0.46/0.66 ; 0.201 Total
% 0.46/0.66 ; 0.202 Real time
% 0.46/0.66 ;
% 0.46/0.66 ; Term-hash-array has 627 terms in all.
% 0.46/0.66 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.46/0.66 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.46/0.66 ; Path-index has 618 entries (618 at peak, 633 added, 15 deleted).
% 0.46/0.66 ; Path-index has 433 nodes (433 at peak, 445 added, 12 deleted).
% 0.46/0.66 ; Trie-index has 618 entries (618 at peak, 633 added, 15 deleted).
% 0.46/0.66 ; Trie-index has 296 nodes (296 at peak, 339 added, 43 deleted).
% 0.46/0.66 ; Retrieved 112,019 generalization terms in 9,564 calls.
% 0.46/0.66 ; Retrieved 343 instance terms in 145 calls.
% 0.46/0.66 ; Retrieved 2,360 unifiable terms in 209 calls.
% 0.46/0.66 ;
% 0.46/0.66 ; The agenda of rows to process has 41 entries:
% 0.46/0.66 ; 2 with value 14 4 with value 21 3 with value 27
% 0.46/0.66 ; 3 with value 15 2 with value 23 3 with value 30
% 0.46/0.66 ; 4 with value 18 4 with value 24 1 with value 31
% 0.46/0.66 ; 3 with value 19 4 with value 25 1 with value 36
% 0.46/0.66 ; 5 with value 20 2 with value 26
% 0.46/0.66 ; The agenda of rows to give has 163 entries:
% 0.46/0.66 ; 12 with value (4 15) 32 with value (4 21) 8 with value (4 27)
% 0.46/0.66 ; 12 with value (4 16) 12 with value (4 22) 16 with value (4 28)
% 0.46/0.66 ; 6 with value (4 17) 8 with value (4 23) 4 with value (4 30)
% 0.46/0.66 ; 10 with value (4 18) 8 with value (4 24) 4 with value (4 31)
% 0.46/0.66 ; 4 with value (4 19) 4 with value (4 25) 4 with value (4 33)
% 0.46/0.66 ; 11 with value (4 20) 4 with value (4 26) 4 with value (4 36)
% 0.46/0.66 Evaluation took:
% 0.46/0.66 0.202 seconds of real time
% 0.46/0.66 0.184972 seconds of user run time
% 0.46/0.66 0.017335 seconds of system run time
% 0.46/0.66 0 calls to %EVAL
% 0.46/0.66 0 page faults and
% 0.46/0.66 11,949,720 bytes consed.
% 0.46/0.66 :PROOF-FOUND
% 0.46/0.66 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-13T06:06:23
% 0.46/0.66 :PROOF-FOUND
% 0.46/0.66 *
%------------------------------------------------------------------------------