TSTP Solution File: GRP038-3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP038-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n020.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 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 1
% Number of leaves : 5
% Syntax : Number of clauses : 6 ( 5 unt; 0 nHn; 6 RR)
% Number of literals : 9 ( 0 equ; 4 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 3 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(closure_of_product_and_inverse,axiom,
( ~ subgroup_member(X)
| ~ subgroup_member(Y)
| ~ product(X,inverse(Y),Z)
| subgroup_member(Z) ),
file('/export/starexec/sandbox/benchmark/Axioms/GRP003-2.ax',closure_of_product_and_inverse) ).
cnf(a_is_in_subgroup,hypothesis,
subgroup_member(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_in_subgroup) ).
cnf(b_is_in_subgroup,hypothesis,
subgroup_member(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_is_in_subgroup) ).
cnf(a_times_inverse_b_is_c,hypothesis,
product(a,inverse(b),c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_times_inverse_b_is_c) ).
cnf(prove_c_is_in_subgroup,negated_conjecture,
~ subgroup_member(c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_c_is_in_subgroup) ).
cnf(25,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[closure_of_product_and_inverse,a_is_in_subgroup,b_is_in_subgroup,a_times_inverse_b_is_c,prove_c_is_in_subgroup]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GRP038-3 : TPTP v8.1.0. Released v1.0.0.
% 0.10/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n020.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 06:58:05 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 0.19/0.48 #<PACKAGE "SNARK-USER">
% 0.19/0.48 *
% 0.19/0.48 SNARK-TPTP-OPTIONS
% 0.19/0.48 *
% 0.19/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.48 (USE-FACTORING :POS)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.48 *
% 0.19/0.48 "."
% 0.19/0.48 *
% 0.19/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T06:58:05
% 0.19/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-06-14T06:58:05
% 0.19/0.49
% 0.19/0.49 ; Recognized possible left identity assertion (|product| |identity| ?X ?X).
% 0.19/0.49 ; Recognized possible right identity assertion (|product| ?X |identity| ?X).
% 0.19/0.49 ; Recognized possible left inverse assertion (|product| (|inverse| ?X) ?X |identity|).
% 0.19/0.49 ; Recognized possible right inverse assertion (|product| ?X (|inverse| ?X) |identity|).
% 0.19/0.49 ; Recognized relation function assertion (|product| ?X ?Y (|multiply| ?X ?Y)).
% 0.19/0.49 ; Recognized relation functionality assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?X ?Y ?U)) (= ?Z ?U)).
% 0.19/0.49 ; Recognized possible associativity assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?Y ?U ?V)) (NOT (|product| ?Z ?U ?W)) (|product| ?X ?V ?W)).
% 0.19/0.51 ; Recognized possible associativity assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?Y ?U ?V)) (NOT (|product| ?X ?V ?W)) (|product| ?Z ?U ?W)).
% 0.19/0.51
% 0.19/0.51 #||
% 0.19/0.51 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.51 % SZS output start Refutation
% See solution above
% 0.19/0.51 ||#
% 0.19/0.51
% 0.19/0.51 ; Summary of computation:
% 0.19/0.51 ; 110 formulas have been input or derived (from 14 formulas).
% 0.19/0.51 ; 25 (23%) were retained. Of these,
% 0.19/0.51 ; 1 ( 4%) were simplified or subsumed later,
% 0.19/0.51 ; 24 (96%) are still being kept.
% 0.19/0.51 ;
% 0.19/0.51 ; Run time in seconds:
% 0.19/0.51 ; 0.003 9% Read assertion file (1 call)
% 0.19/0.51 ; 0.001 3% Assert (15 calls)
% 0.19/0.51 ; 0.003 9% Process new row (58 calls)
% 0.19/0.51 ; 0.002 6% Resolution (26 calls)
% 0.19/0.51 ; 0.000 0% Paramodulation (13 calls)
% 0.19/0.51 ; 0.000 0% Condensing (5 calls)
% 0.19/0.51 ; 0.000 0% Forward subsumption (5 calls)
% 0.19/0.51 ; 0.000 0% Backward subsumption (5 calls)
% 0.19/0.51 ; 0.000 0% Clause clause subsumption (2 calls)
% 0.19/0.51 ; 0.001 3% Forward simplification (58 calls)
% 0.19/0.51 ; 0.000 0% Backward simplification (25 calls)
% 0.19/0.51 ; 0.000 0% Ordering (7 calls)
% 0.19/0.51 ; 0.001 3% Sortal reasoning (32 calls)
% 0.19/0.51 ; 0.001 3% Purity testing (1 call)
% 0.19/0.51 ; 0.021 64% Other
% 0.19/0.51 ; 0.033 Total
% 0.19/0.51 ; 0.033 Real time
% 0.19/0.51 ;
% 0.19/0.51 ; Term-hash-array has 41 terms in all.
% 0.19/0.51 ; Feature-vector-row-index has 5 entries (5 at peak, 5 added, 0 deleted).
% 0.19/0.51 ; Feature-vector-row-index has 11 nodes (11 at peak, 11 added, 0 deleted).
% 0.19/0.51 ; Retrieved 1 possibly forward subsuming row in 5 calls.
% 0.19/0.51 ; Retrieved 1 possibly backward subsumed row in 5 calls.
% 0.19/0.51 ; Path-index has 44 entries (44 at peak, 45 added, 1 deleted).
% 0.19/0.51 ; Path-index has 74 nodes (74 at peak, 75 added, 1 deleted).
% 0.19/0.51 ; Trie-index has 44 entries (44 at peak, 45 added, 1 deleted).
% 0.19/0.51 ; Trie-index has 81 nodes (81 at peak, 82 added, 1 deleted).
% 0.19/0.51 ; Retrieved 19 generalization terms in 57 calls.
% 0.19/0.51 ; Retrieved 20 instance terms in 19 calls.
% 0.19/0.51 ; Retrieved 537 unifiable terms in 185 calls.
% 0.19/0.51 ;
% 0.19/0.51 ; The agenda of rows to process has 41 entries:
% 0.19/0.51 ; 8 with value 4 9 with value 8 18 with value 9
% 0.19/0.51 ; 6 with value 6
% 0.19/0.51 ; The agenda of input rows to give has 2 entries:
% 0.19/0.51 ; 2 with value 20
% 0.19/0.51 ; The agenda of rows to give has 8 entries:
% 0.19/0.51 ; 2 with value (4 6) 2 with value (4 8) 3 with value (4 10)
% 0.19/0.51 ; 1 with value (4 7)
% 0.19/0.51 Evaluation took:
% 0.19/0.51 0.034 seconds of real time
% 0.19/0.51 0.030815 seconds of user run time
% 0.19/0.51 0.002986 seconds of system run time
% 0.19/0.51 0 calls to %EVAL
% 0.19/0.51 0 page faults and
% 0.19/0.51 1,719,288 bytes consed.
% 0.19/0.51 :PROOF-FOUND
% 0.19/0.51 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T06:58:05
% 0.19/0.51 :PROOF-FOUND
% 0.19/0.51 *
%------------------------------------------------------------------------------