TSTP Solution File: GRP020-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP020-1 : 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 11:35:16 EDT 2022
% Result : Unsatisfiable 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 1
% Number of leaves : 4
% Syntax : Number of clauses : 5 ( 4 unt; 0 nHn; 3 RR)
% Number of literals : 7 ( 2 equ; 3 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 7 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(left_inverse,axiom,
product(inverse(X),X,identity),
file('/export/starexec/sandbox/benchmark/Axioms/GRP003-0.ax',left_inverse) ).
cnf(total_function1,axiom,
product(X,Y,multiply(X,Y)),
file('/export/starexec/sandbox/benchmark/Axioms/GRP003-0.ax',total_function1) ).
cnf(total_function2,axiom,
( ~ product(X,Y,Z)
| ~ product(X,Y,U)
| Z = U ),
file('/export/starexec/sandbox/benchmark/Axioms/GRP003-0.ax',total_function2) ).
cnf(prove_inverse_X_times_X_is_id,negated_conjecture,
multiply(inverse(a),a) != identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_inverse_X_times_X_is_id) ).
cnf(10,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[total_function2,left_inverse,total_function1,prove_inverse_X_times_X_is_id]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP020-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n021.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % 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 : Mon Jun 13 21:55:42 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 0.20/0.48 #<PACKAGE "SNARK-USER">
% 0.20/0.48 *
% 0.20/0.48 SNARK-TPTP-OPTIONS
% 0.20/0.48 *
% 0.20/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48 (USE-FACTORING :POS)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48 *
% 0.20/0.48 "."
% 0.20/0.48 *
% 0.20/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-13T21:55:42
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-06-13T21:55:42
% 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)).
% 0.20/0.51 ; Recognized possible associativity assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?Y ?U ?V)) (NOT (|product| ?X ?V ?W)) (|product| ?Z ?U ?W)).
% 0.20/0.51
% 0.20/0.51 #||
% 0.20/0.51 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.51 % SZS output start Refutation
% See solution above
% 0.20/0.51 ||#
% 0.20/0.51
% 0.20/0.51 ; Summary of computation:
% 0.20/0.51 ; 63 formulas have been input or derived (from 8 formulas).
% 0.20/0.51 ; 10 (16%) were retained. Of these,
% 0.20/0.51 ; 10 (100%) are still being kept.
% 0.20/0.51 ;
% 0.20/0.51 ; Run time in seconds excluding printing time:
% 0.20/0.51 ; 0.003 12% Read assertion file (1 call)
% 0.20/0.51 ; 0.001 4% Assert (9 calls)
% 0.20/0.51 ; 0.001 4% Process new row (10 calls)
% 0.20/0.51 ; 0.000 0% Resolution (14 calls)
% 0.20/0.51 ; 0.001 4% Paramodulation (7 calls)
% 0.20/0.51 ; 0.000 0% Condensing (3 calls)
% 0.20/0.51 ; 0.000 0% Forward subsumption (3 calls)
% 0.20/0.51 ; 0.000 0% Backward subsumption (3 calls)
% 0.20/0.51 ; 0.000 0% Clause clause subsumption (2 calls)
% 0.20/0.51 ; 0.000 0% Forward simplification (10 calls)
% 0.20/0.51 ; 0.000 0% Backward simplification (10 calls)
% 0.20/0.51 ; 0.000 0% Ordering (1 call)
% 0.20/0.51 ; 0.000 0% Sortal reasoning (32 calls)
% 0.20/0.51 ; 0.000 0% Purity testing (1 call)
% 0.20/0.51 ; 0.020 77% Other
% 0.20/0.51 ; 0.026 Total
% 0.20/0.51 ; 0.028 Real time
% 0.20/0.51 ;
% 0.20/0.51 ; Term-hash-array has 16 terms in all.
% 0.20/0.51 ; Feature-vector-row-index has 3 entries (3 at peak, 3 added, 0 deleted).
% 0.20/0.51 ; Feature-vector-row-index has 5 nodes (5 at peak, 5 added, 0 deleted).
% 0.20/0.51 ; Retrieved 1 possibly forward subsuming row in 3 calls.
% 0.20/0.51 ; Retrieved 1 possibly backward subsumed row in 3 calls.
% 0.20/0.51 ; Path-index has 18 entries (18 at peak, 18 added, 0 deleted).
% 0.20/0.51 ; Path-index has 42 nodes (42 at peak, 42 added, 0 deleted).
% 0.20/0.51 ; Trie-index has 18 entries (18 at peak, 18 added, 0 deleted).
% 0.20/0.51 ; Trie-index has 39 nodes (39 at peak, 39 added, 0 deleted).
% 0.20/0.51 ; Retrieved 0 generalization terms in 14 calls.
% 0.20/0.51 ; Retrieved 6 instance terms in 6 calls.
% 0.20/0.51 ; Retrieved 181 unifiable terms in 72 calls.
% 0.20/0.51 ;
% 0.20/0.51 ; The agenda of rows to process has 42 entries:
% 0.20/0.51 ; 9 with value 5 10 with value 8 8 with value 11
% 0.20/0.51 ; 1 with value 7 10 with value 10 4 with value 12
% 0.20/0.51 ; The agenda of input rows to give has 2 entries:
% 0.20/0.51 ; 2 with value 20
% 0.20/0.51 Evaluation took:
% 0.20/0.51 0.028 seconds of real time
% 0.20/0.51 0.024293 seconds of user run time
% 0.20/0.51 0.004224 seconds of system run time
% 0.20/0.51 0 calls to %EVAL
% 0.20/0.51 0 page faults and
% 0.20/0.51 1,527,448 bytes consed.
% 0.20/0.51 :PROOF-FOUND
% 0.20/0.51 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-13T21:55:42
% 0.20/0.51 :PROOF-FOUND
% 0.20/0.51 *
%------------------------------------------------------------------------------