TSTP Solution File: GRP037-3 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP037-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n016.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 11:35:24 EDT 2022
% Result : Unsatisfiable 0.20s 0.53s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 8
% Syntax : Number of clauses : 13 ( 9 unt; 0 nHn; 11 RR)
% Number of literals : 19 ( 4 equ; 8 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-1 aty)
% Number of variables : 12 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(left_identity,axiom,
product(identity,X,X),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP003-0.ax',left_identity) ).
cnf(right_inverse,axiom,
product(X,inverse(X),identity),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP003-0.ax',right_inverse) ).
cnf(another_left_identity,hypothesis,
( ~ subgroup_member(X)
| product(another_identity,X,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',another_left_identity) ).
cnf(another_right_inverse,hypothesis,
( ~ subgroup_member(X)
| product(X,another_inverse(X),another_identity) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',another_right_inverse) ).
cnf(product_right_cancellation,hypothesis,
( ~ product(X,Y,Z)
| ~ product(X,U,Z)
| U = Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_right_cancellation) ).
cnf(product_left_cancellation,hypothesis,
( ~ product(X,Y,Z)
| ~ product(U,Y,Z)
| U = X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_left_cancellation) ).
cnf(a_is_in_subgroup,hypothesis,
subgroup_member(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_in_subgroup) ).
cnf(prove_two_inverses_are_equal,negated_conjecture,
inverse(a) != another_inverse(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_two_inverses_are_equal) ).
cnf(20,plain,
product(another_identity,a,a),
inference('HYPERRESOLVE',[status(thm)],[another_left_identity,a_is_in_subgroup]) ).
cnf(25,plain,
product(a,another_inverse(a),another_identity),
inference('HYPERRESOLVE',[status(thm)],[another_right_inverse,a_is_in_subgroup]) ).
cnf(38,plain,
~ product(a,another_inverse(a),identity),
inference('UR-RESOLVE',[status(thm)],[product_right_cancellation,right_inverse,prove_two_inverses_are_equal]) ).
cnf(69,plain,
identity = another_identity,
inference('HYPERRESOLVE',[status(thm)],[product_left_cancellation,20,left_identity]) ).
cnf(84,plain,
$false,
inference('REWRITE',[status(thm)],[38,25,69,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.12 % Problem : GRP037-3 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n016.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 : Tue Jun 14 14:31:01 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p 2022-06-14T14:31:01
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n016.cluster.edu at 2022-06-14T14:31:01
% 0.20/0.49
% 0.20/0.49 ; Recognized possible left identity assertion (|product| |identity| ?X ?X).
% 0.20/0.49 ; Recognized possible right identity assertion (|product| ?X |identity| ?X).
% 0.20/0.49 ; Recognized possible left inverse assertion (|product| (|inverse| ?X) ?X |identity|).
% 0.20/0.49 ; Recognized possible right inverse assertion (|product| ?X (|inverse| ?X) |identity|).
% 0.20/0.49 ; Recognized relation function assertion (|product| ?X ?Y (|multiply| ?X ?Y)).
% 0.20/0.49 ; Recognized relation functionality assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?X ?Y ?U)) (= ?Z ?U)).
% 0.20/0.49 ; Recognized possible associativity assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?Y ?U ?V)) (NOT (|product| ?Z ?U ?W)) (|product| ?X ?V ?W)).
% 0.20/0.53 ; Recognized possible associativity assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?Y ?U ?V)) (NOT (|product| ?X ?V ?W)) (|product| ?Z ?U ?W)).
% 0.20/0.53
% 0.20/0.53 #||
% 0.20/0.53 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.53 % SZS output start Refutation
% See solution above
% 0.20/0.53 ||#
% 0.20/0.53
% 0.20/0.53 ; Summary of computation:
% 0.20/0.53 ; 654 formulas have been input or derived (from 22 formulas).
% 0.20/0.53 ; 84 (13%) were retained. Of these,
% 0.20/0.53 ; 38 (45%) were simplified or subsumed later,
% 0.20/0.53 ; 46 (55%) are still being kept.
% 0.20/0.53 ;
% 0.20/0.53 ; Run time in seconds excluding printing time:
% 0.20/0.53 ; 0.005 9% Read assertion file (1 call)
% 0.20/0.53 ; 0.001 2% Assert (19 calls)
% 0.20/0.53 ; 0.006 11% Process new row (478 calls)
% 0.20/0.53 ; 0.013 23% Resolution (42 calls)
% 0.20/0.53 ; 0.000 0% Paramodulation (21 calls)
% 0.20/0.53 ; 0.001 2% Condensing (11 calls)
% 0.20/0.53 ; 0.000 0% Forward subsumption (11 calls)
% 0.20/0.53 ; 0.000 0% Backward subsumption (11 calls)
% 0.20/0.53 ; 0.001 2% Clause clause subsumption (16 calls)
% 0.20/0.53 ; 0.007 12% Forward simplification (478 calls)
% 0.20/0.53 ; 0.002 4% Backward simplification (84 calls)
% 0.20/0.53 ; 0.000 0% Ordering (15 calls)
% 0.20/0.53 ; 0.001 2% Sortal reasoning (32 calls)
% 0.20/0.53 ; 0.000 0% Purity testing (1 call)
% 0.20/0.53 ; 0.020 35% Other
% 0.20/0.53 ; 0.057 Total
% 0.20/0.53 ; 0.060 Real time
% 0.20/0.53 ;
% 0.20/0.53 ; Term-hash-array has 128 terms in all.
% 0.20/0.53 ; Feature-vector-row-index has 9 entries (11 at peak, 11 added, 2 deleted).
% 0.20/0.53 ; Feature-vector-row-index has 15 nodes (15 at peak, 15 added, 0 deleted).
% 0.20/0.53 ; Retrieved 10 possibly forward subsuming rows in 11 calls.
% 0.20/0.53 ; Retrieved 6 possibly backward subsumed rows in 11 calls.
% 0.20/0.53 ; Path-index has 78 entries (116 at peak, 133 added, 55 deleted).
% 0.20/0.53 ; Path-index has 168 nodes (205 at peak, 218 added, 50 deleted).
% 0.20/0.53 ; Trie-index has 78 entries (116 at peak, 133 added, 55 deleted).
% 0.20/0.53 ; Trie-index has 183 nodes (287 at peak, 324 added, 141 deleted).
% 0.20/0.53 ; Retrieved 893 generalization terms in 1,093 calls.
% 0.20/0.53 ; Retrieved 83 instance terms in 72 calls.
% 0.20/0.53 ; Retrieved 7,174 unifiable terms in 899 calls.
% 0.20/0.53 ;
% 0.20/0.53 ; The agenda of backward simplifiable rows to process has 14 entries:
% 0.20/0.53 ; 14 with value 0
% 0.20/0.53 ; The agenda of rows to process has 74 entries:
% 0.20/0.53 ; 8 with value 6 24 with value 10 12 with value 12
% 0.20/0.53 ; 16 with value 7 4 with value 11 4 with value 13
% 0.20/0.53 ; 6 with value 9
% 0.20/0.53 ; The agenda of input rows to give has 4 entries:
% 0.20/0.53 ; 2 with value 5 2 with value 7
% 0.20/0.53 ; The agenda of rows to give has 28 entries:
% 0.20/0.53 ; 3 with value (4 6) 5 with value (4 9) 4 with value (4 12)
% 0.20/0.53 ; 2 with value (4 7) 4 with value (4 10) 2 with value (4 14)
% 0.20/0.53 ; 6 with value (4 8) 2 with value (4 11)
% 0.20/0.53 Evaluation took:
% 0.20/0.53 0.061 seconds of real time
% 0.20/0.53 0.053383 seconds of user run time
% 0.20/0.53 0.006995 seconds of system run time
% 0.20/0.53 0 calls to %EVAL
% 0.20/0.53 0 page faults and
% 0.20/0.53 3,279,184 bytes consed.
% 0.20/0.53 :PROOF-FOUND
% 0.20/0.53 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-14T14:31:01
% 0.20/0.53 :PROOF-FOUND
% 0.20/0.53 *
%------------------------------------------------------------------------------