TSTP Solution File: GRP022-2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP022-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n032.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 11:35:17 EDT 2022
% Result : Unsatisfiable 0.15s 0.42s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of clauses : 8 ( 8 unt; 0 nHn; 2 RR)
% Number of literals : 8 ( 7 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 9 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(left_identity,axiom,
multiply(identity,X) = X,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(left_inverse,axiom,
multiply(inverse(X),X) = identity,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(associativity,axiom,
multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',associativity) ).
cnf(right_identity,axiom,
multiply(X,identity) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_identity) ).
cnf(prove_inverse_of_inverse_is_original,negated_conjecture,
inverse(inverse(a)) != a,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_inverse_of_inverse_is_original) ).
cnf(8,plain,
X = multiply(inverse(Y),multiply(Y,X)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[associativity,left_inverse,theory(equality)]),left_identity,theory(equality)]) ).
cnf(17,plain,
X = inverse(inverse(X)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[8,left_inverse,theory(equality)]),right_identity,theory(equality)]) ).
cnf(18,plain,
$false,
inference('REWRITE',[status(thm)],[prove_inverse_of_inverse_is_original,17,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : GRP022-2 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.11 % Command : run-snark %s %d
% 0.11/0.30 % Computer : n032.cluster.edu
% 0.11/0.30 % Model : x86_64 x86_64
% 0.11/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30 % Memory : 8042.1875MB
% 0.11/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30 % CPULimit : 300
% 0.11/0.30 % WCLimit : 600
% 0.11/0.30 % DateTime : Tue Jun 14 13:59:43 EDT 2022
% 0.11/0.30 % CPUTime :
% 0.15/0.39 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.40 *
% 0.15/0.40 *
% 0.15/0.40 #<PACKAGE "SNARK-USER">
% 0.15/0.40 *
% 0.15/0.40 SNARK-TPTP-OPTIONS
% 0.15/0.40 *
% 0.15/0.40 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.15/0.40 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.15/0.40 (USE-FACTORING :POS)
% 0.15/0.40 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.15/0.40 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.15/0.40 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.15/0.40 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.15/0.40 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.15/0.40 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.15/0.40 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.15/0.40 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.15/0.40 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.15/0.40 (DECLARE-TPTP-SYMBOLS2))
% 0.15/0.40 *
% 0.15/0.40 "."
% 0.15/0.40 *
% 0.15/0.40 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-14T13:59:43
% 0.15/0.40 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n032.cluster.edu at 2022-06-14T13:59:43
% 0.15/0.41
% 0.15/0.41 ; Recognized left identity assertion (= (|multiply| |identity| ?X) ?X).
% 0.15/0.41 ; Recognized possible left inverse assertion (= (|multiply| (|inverse| ?X) ?X) |identity|).
% 0.15/0.41 ; Recognized associativity assertion (= (|multiply| (|multiply| ?X ?Y) ?Z) (|multiply| ?X (|multiply| ?Y ?Z))).
% 0.15/0.41 ; Recognized right identity assertion (= (|multiply| ?X |identity|) ?X).
% 0.15/0.42 ; Recognized possible right inverse assertion (= (|multiply| ?X (|inverse| ?X)) |identity|).
% 0.15/0.42
% 0.15/0.42 #||
% 0.15/0.42 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.42 % SZS output start Refutation
% See solution above
% 0.15/0.42 ||#
% 0.15/0.42
% 0.15/0.42 ; Summary of computation:
% 0.15/0.42 ; 49 formulas have been input or derived (from 9 formulas).
% 0.15/0.42 ; 18 (37%) were retained. Of these,
% 0.15/0.42 ; 1 ( 6%) were simplified or subsumed later,
% 0.15/0.42 ; 17 (94%) are still being kept.
% 0.15/0.42 ;
% 0.15/0.42 ; Run time in seconds excluding printing time:
% 0.15/0.42 ; 0.001 6% Read assertion file (1 call)
% 0.15/0.42 ; 0.001 6% Assert (6 calls)
% 0.15/0.42 ; 0.001 6% Process new row (42 calls)
% 0.15/0.42 ; 0.000 0% Resolution (16 calls)
% 0.15/0.42 ; 0.001 6% Paramodulation (8 calls)
% 0.15/0.42 ; 0.000 0% Forward simplification (42 calls)
% 0.15/0.42 ; 0.000 0% Backward simplification (18 calls)
% 0.15/0.42 ; 0.001 6% Ordering (137 calls)
% 0.15/0.42 ; 0.000 0% Sortal reasoning (32 calls)
% 0.15/0.42 ; 0.000 0% Purity testing (1 call)
% 0.15/0.42 ; 0.013 72% Other
% 0.15/0.42 ; 0.018 Total
% 0.15/0.42 ; 0.019 Real time
% 0.15/0.42 ;
% 0.15/0.42 ; Term-hash-array has 46 terms in all.
% 0.15/0.42 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.15/0.42 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.15/0.42 ; Path-index has 45 entries (48 at peak, 49 added, 4 deleted).
% 0.15/0.42 ; Path-index has 105 nodes (109 at peak, 110 added, 5 deleted).
% 0.15/0.42 ; Trie-index has 45 entries (48 at peak, 49 added, 4 deleted).
% 0.15/0.42 ; Trie-index has 148 nodes (154 at peak, 155 added, 7 deleted).
% 0.15/0.42 ; Retrieved 70 generalization terms in 131 calls.
% 0.15/0.42 ; Retrieved 31 instance terms in 29 calls.
% 0.15/0.42 ; Retrieved 77 unifiable terms in 44 calls.
% 0.15/0.42 ;
% 0.15/0.42 ; The agenda of rows to process has 6 entries:
% 0.15/0.42 ; 1 with value 14 1 with value 15 4 with value 18
% 0.15/0.42 ; The agenda of rows to give has 9 entries:
% 0.15/0.42 ; 1 with value (4 10) 2 with value (4 13) 5 with value (4 20)
% 0.15/0.42 ; 1 with value (4 12)
% 0.15/0.42 Evaluation took:
% 0.15/0.42 0.019 seconds of real time
% 0.15/0.42 0.017518 seconds of user run time
% 0.15/0.42 0.001896 seconds of system run time
% 0.15/0.42 0 calls to %EVAL
% 0.15/0.42 0 page faults and
% 0.15/0.42 1,776,360 bytes consed.
% 0.15/0.42 :PROOF-FOUND
% 0.15/0.42 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-14T13:59:43
% 0.15/0.42 :PROOF-FOUND
% 0.15/0.42 *
%------------------------------------------------------------------------------