TSTP Solution File: GRP035-3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP035-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n021.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 11:35:23 EDT 2022
% Result : Unsatisfiable 0.21s 0.55s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 9
% Syntax : Number of clauses : 14 ( 12 unt; 0 nHn; 11 RR)
% Number of literals : 20 ( 0 equ; 8 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 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_identity,axiom,
product(X,identity,X),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP003-0.ax',right_identity) ).
cnf(right_inverse,axiom,
product(X,inverse(X),identity),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP003-0.ax',right_inverse) ).
cnf(associativity2,axiom,
( ~ product(X,Y,Z)
| ~ product(Y,U,V)
| ~ product(X,V,W)
| product(Z,U,W) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP003-0.ax',associativity2) ).
cnf(closure_of_product_and_inverse,axiom,
( ~ subgroup_member(X)
| ~ subgroup_member(Y)
| ~ product(X,inverse(Y),Z)
| subgroup_member(Z) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP003-2.ax',closure_of_product_and_inverse) ).
cnf(a_is_in_subgroup,hypothesis,
subgroup_member(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_in_subgroup) ).
cnf(b_is_in_subgroup,hypothesis,
subgroup_member(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_is_in_subgroup) ).
cnf(a_times_b_is_c,hypothesis,
product(a,b,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_times_b_is_c) ).
cnf(prove_c_is_in_subgroup,negated_conjecture,
~ subgroup_member(c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_c_is_in_subgroup) ).
cnf(20,plain,
subgroup_member(identity),
inference('HYPERRESOLVE',[status(thm)],[closure_of_product_and_inverse,b_is_in_subgroup,b_is_in_subgroup,right_inverse]) ).
cnf(40,plain,
product(c,inverse(b),a),
inference('HYPERRESOLVE',[status(thm)],[associativity2,a_times_b_is_c,right_inverse,right_identity]) ).
cnf(53,plain,
subgroup_member(inverse(b)),
inference('HYPERRESOLVE',[status(thm)],[closure_of_product_and_inverse,20,b_is_in_subgroup,left_identity]) ).
cnf(68,plain,
~ product(a,inverse(inverse(b)),c),
inference('UR-RESOLVE',[status(thm)],[closure_of_product_and_inverse,53,a_is_in_subgroup,prove_c_is_in_subgroup]) ).
cnf(160,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[associativity2,40,right_inverse,right_identity]),68]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GRP035-3 : TPTP v8.1.0. Released v1.0.0.
% 0.08/0.14 % Command : run-snark %s %d
% 0.14/0.35 % Computer : n021.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Tue Jun 14 00:56:42 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.21/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.47 *
% 0.21/0.47 *
% 0.21/0.48 #<PACKAGE "SNARK-USER">
% 0.21/0.48 *
% 0.21/0.48 SNARK-TPTP-OPTIONS
% 0.21/0.48 *
% 0.21/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.48 (USE-FACTORING :POS)
% 0.21/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.48 *
% 0.21/0.48 "."
% 0.21/0.48 *
% 0.21/0.48 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-14T00:56:42
% 0.21/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-06-14T00:56:42
% 0.21/0.49
% 0.21/0.49 ; Recognized possible left identity assertion (|product| |identity| ?X ?X).
% 0.21/0.49 ; Recognized possible right identity assertion (|product| ?X |identity| ?X).
% 0.21/0.49 ; Recognized possible left inverse assertion (|product| (|inverse| ?X) ?X |identity|).
% 0.21/0.49 ; Recognized possible right inverse assertion (|product| ?X (|inverse| ?X) |identity|).
% 0.21/0.49 ; Recognized relation function assertion (|product| ?X ?Y (|multiply| ?X ?Y)).
% 0.21/0.49 ; Recognized relation functionality assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?X ?Y ?U)) (= ?Z ?U)).
% 0.21/0.49 ; Recognized possible associativity assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?Y ?U ?V)) (NOT (|product| ?Z ?U ?W)) (|product| ?X ?V ?W)).
% 0.21/0.55 ; Recognized possible associativity assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?Y ?U ?V)) (NOT (|product| ?X ?V ?W)) (|product| ?Z ?U ?W)).
% 0.21/0.55
% 0.21/0.55 #||
% 0.21/0.55 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.55 % SZS output start Refutation
% See solution above
% 0.21/0.56 ||#
% 0.21/0.56
% 0.21/0.56 ; Summary of computation:
% 0.21/0.56 ; 888 formulas have been input or derived (from 30 formulas).
% 0.21/0.56 ; 160 (18%) were retained. Of these,
% 0.21/0.56 ; 5 ( 3%) were simplified or subsumed later,
% 0.21/0.56 ; 155 (97%) are still being kept.
% 0.21/0.56 ;
% 0.21/0.56 ; Run time in seconds excluding printing time:
% 0.21/0.56 ; 0.003 4% Read assertion file (1 call)
% 0.21/0.56 ; 0.001 1% Assert (13 calls)
% 0.21/0.56 ; 0.014 19% Process new row (718 calls)
% 0.21/0.56 ; 0.020 28% Resolution (58 calls)
% 0.21/0.56 ; 0.000 0% Paramodulation (29 calls)
% 0.21/0.56 ; 0.001 1% Condensing (5 calls)
% 0.21/0.56 ; 0.000 0% Forward subsumption (5 calls)
% 0.21/0.56 ; 0.000 0% Backward subsumption (5 calls)
% 0.21/0.56 ; 0.000 0% Clause clause subsumption (2 calls)
% 0.21/0.56 ; 0.005 7% Forward simplification (718 calls)
% 0.21/0.56 ; 0.001 1% Backward simplification (160 calls)
% 0.21/0.56 ; 0.000 0% Ordering (25 calls)
% 0.21/0.56 ; 0.000 0% Sortal reasoning (32 calls)
% 0.21/0.56 ; 0.000 0% Purity testing (1 call)
% 0.21/0.56 ; 0.027 38% Other
% 0.21/0.56 ; 0.072 Total
% 0.21/0.56 ; 0.076 Real time
% 0.21/0.56 ;
% 0.21/0.56 ; Term-hash-array has 229 terms in all.
% 0.21/0.56 ; Feature-vector-row-index has 5 entries (5 at peak, 5 added, 0 deleted).
% 0.21/0.56 ; Feature-vector-row-index has 12 nodes (12 at peak, 12 added, 0 deleted).
% 0.21/0.56 ; Retrieved 1 possibly forward subsuming row in 5 calls.
% 0.21/0.56 ; Retrieved 1 possibly backward subsumed row in 5 calls.
% 0.21/0.56 ; Path-index has 228 entries (228 at peak, 233 added, 5 deleted).
% 0.21/0.56 ; Path-index has 245 nodes (245 at peak, 246 added, 1 deleted).
% 0.21/0.56 ; Trie-index has 228 entries (228 at peak, 233 added, 5 deleted).
% 0.21/0.56 ; Trie-index has 542 nodes (542 at peak, 554 added, 12 deleted).
% 0.21/0.56 ; Retrieved 1,325 generalization terms in 1,668 calls.
% 0.21/0.56 ; Retrieved 184 instance terms in 154 calls.
% 0.21/0.56 ; Retrieved 8,863 unifiable terms in 1,501 calls.
% 0.21/0.56 ;
% 0.21/0.56 ; The agenda of rows to process has 53 entries:
% 0.21/0.56 ; 11 with value 11 18 with value 13 1 with value 15
% 0.21/0.56 ; 17 with value 12 6 with value 14
% 0.21/0.56 ; The agenda of rows to give has 125 entries:
% 0.21/0.56 ; 15 with value (4 8) 21 with value (4 11) 11 with value (4 14)
% 0.21/0.56 ; 7 with value (4 9) 18 with value (4 12) 1 with value (4 15)
% 0.21/0.56 ; 35 with value (4 10) 17 with value (4 13)
% 0.21/0.56 Evaluation took:
% 0.21/0.56 0.076 seconds of real time
% 0.21/0.56 0.069032 seconds of user run time
% 0.21/0.56 0.006846 seconds of system run time
% 0.21/0.56 0 calls to %EVAL
% 0.21/0.56 0 page faults and
% 0.21/0.56 3,942,936 bytes consed.
% 0.21/0.56 :PROOF-FOUND
% 0.21/0.56 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-14T00:56:42
% 0.21/0.56 :PROOF-FOUND
% 0.21/0.56 *
%------------------------------------------------------------------------------