TSTP Solution File: GRP012-4 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP012-4 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n025.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 11:35:14 EDT 2022
% Result : Unsatisfiable 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of clauses : 11 ( 11 unt; 0 nHn; 2 RR)
% Number of literals : 11 ( 10 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 15 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(left_identity,axiom,
multiply(identity,X) = X,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(left_inverse,axiom,
multiply(inverse(X),X) = identity,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(associativity,axiom,
multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)),
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',associativity) ).
cnf(right_identity,axiom,
multiply(X,identity) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_identity) ).
cnf(right_inverse,axiom,
multiply(X,inverse(X)) = identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_inverse) ).
cnf(prove_inverse_of_product_is_product_of_inverses,negated_conjecture,
inverse(multiply(a,b)) != multiply(inverse(b),inverse(a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_inverse_of_product_is_product_of_inverses) ).
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(9,plain,
multiply(multiply(X,Y),inverse(Y)) = X,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[associativity,right_inverse,theory(equality)]),right_identity,theory(equality)]) ).
cnf(20,plain,
inverse(X) = multiply(inverse(multiply(Y,X)),Y),
inference('PARAMODULATE',[status(thm)],[8,9,theory(equality)]) ).
cnf(24,plain,
multiply(inverse(X),inverse(Y)) = inverse(multiply(Y,X)),
inference('PARAMODULATE',[status(thm)],[9,20,theory(equality)]) ).
cnf(25,plain,
$false,
inference('REWRITE',[status(thm)],[prove_inverse_of_product_is_product_of_inverses,24,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP012-4 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n025.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Tue Jun 14 14:24:39 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox/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 *
% 0.20/0.48 ((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 2022-06-14T14:24:40
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-06-14T14:24:40
% 0.20/0.49
% 0.20/0.49 ; Recognized left identity assertion (= (|multiply| |identity| ?X) ?X).
% 0.20/0.49 ; Recognized possible left inverse assertion (= (|multiply| (|inverse| ?X) ?X) |identity|).
% 0.20/0.49 ; Recognized associativity assertion (= (|multiply| (|multiply| ?X ?Y) ?Z) (|multiply| ?X (|multiply| ?Y ?Z))).
% 0.20/0.49 ; Recognized right identity assertion (= (|multiply| ?X |identity|) ?X).
% 0.20/0.51 ; Recognized possible right inverse assertion (= (|multiply| ?X (|inverse| ?X)) |identity|).
% 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 ; 122 formulas have been input or derived (from 14 formulas).
% 0.20/0.51 ; 25 (20%) were retained. Of these,
% 0.20/0.51 ; 1 ( 4%) were simplified or subsumed later,
% 0.20/0.51 ; 24 (96%) are still being kept.
% 0.20/0.51 ;
% 0.20/0.51 ; Run time in seconds excluding printing time:
% 0.20/0.51 ; 0.001 3% Read assertion file (1 call)
% 0.20/0.51 ; 0.001 3% Assert (6 calls)
% 0.20/0.51 ; 0.003 9% Process new row (109 calls)
% 0.20/0.51 ; 0.000 0% Resolution (26 calls)
% 0.20/0.51 ; 0.006 17% Paramodulation (13 calls)
% 0.20/0.51 ; 0.001 3% Forward simplification (109 calls)
% 0.20/0.51 ; 0.001 3% Backward simplification (25 calls)
% 0.20/0.51 ; 0.001 3% Ordering (295 calls)
% 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 ; 0.021 60% Other
% 0.20/0.51 ; 0.035 Total
% 0.20/0.51 ; 0.037 Real time
% 0.20/0.51 ;
% 0.20/0.51 ; Term-hash-array has 70 terms in all.
% 0.20/0.51 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.20/0.51 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.20/0.51 ; Path-index has 67 entries (73 at peak, 75 added, 8 deleted).
% 0.20/0.51 ; Path-index has 137 nodes (149 at peak, 151 added, 14 deleted).
% 0.20/0.51 ; Trie-index has 67 entries (73 at peak, 75 added, 8 deleted).
% 0.20/0.51 ; Trie-index has 223 nodes (240 at peak, 242 added, 19 deleted).
% 0.20/0.51 ; Retrieved 226 generalization terms in 424 calls.
% 0.20/0.51 ; Retrieved 39 instance terms in 36 calls.
% 0.20/0.51 ; Retrieved 210 unifiable terms in 77 calls.
% 0.20/0.51 ;
% 0.20/0.51 ; The agenda of rows to process has 12 entries:
% 0.20/0.51 ; 2 with value 16 2 with value 18 3 with value 21
% 0.20/0.51 ; 3 with value 17 1 with value 20 1 with value 22
% 0.20/0.51 ; The agenda of rows to give has 11 entries:
% 0.20/0.51 ; 1 with value (4 15) 4 with value (4 18) 5 with value (4 20)
% 0.20/0.51 ; 1 with value (4 16)
% 0.20/0.51 Evaluation took:
% 0.20/0.51 0.037 seconds of real time
% 0.20/0.51 0.032503 seconds of user run time
% 0.20/0.51 0.005002 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 2,219,560 bytes consed.
% 0.20/0.51 :PROOF-FOUND
% 0.20/0.51 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T14:24:40
% 0.20/0.51 :PROOF-FOUND
% 0.20/0.51 *
%------------------------------------------------------------------------------