TSTP Solution File: GRP010-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP010-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n029.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 11:35:12 EDT 2022
% Result : Unsatisfiable 0.17s 0.49s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 6
% Syntax : Number of clauses : 8 ( 6 unt; 0 nHn; 6 RR)
% Number of literals : 14 ( 0 equ; 8 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 14 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(right_identity,axiom,
product(X,identity,X),
file('/export/starexec/sandbox/benchmark/Axioms/GRP003-0.ax',right_identity) ).
cnf(right_inverse,axiom,
product(X,inverse(X),identity),
file('/export/starexec/sandbox/benchmark/Axioms/GRP003-0.ax',right_inverse) ).
cnf(associativity1,axiom,
( ~ product(X,Y,Z)
| ~ product(Y,U,V)
| ~ product(Z,U,W)
| product(X,V,W) ),
file('/export/starexec/sandbox/benchmark/Axioms/GRP003-0.ax',associativity1) ).
cnf(associativity2,axiom,
( ~ product(X,Y,Z)
| ~ product(Y,U,V)
| ~ product(X,V,W)
| product(Z,U,W) ),
file('/export/starexec/sandbox/benchmark/Axioms/GRP003-0.ax',associativity2) ).
cnf(a_multiply_b_is_identity,hypothesis,
product(a,b,identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_multiply_b_is_identity) ).
cnf(prove_b_multiply_a_is_identity,negated_conjecture,
~ product(b,a,identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_b_multiply_a_is_identity) ).
cnf(22,plain,
~ product(identity,inverse(b),a),
inference('UR-RESOLVE',[status(thm)],[associativity1,right_identity,right_inverse,prove_b_multiply_a_is_identity]) ).
cnf(37,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[associativity2,a_multiply_b_is_identity,right_inverse,right_identity]),22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.10 % Problem : GRP010-1 : TPTP v8.1.0. Released v1.0.0.
% 0.10/0.11 % Command : run-snark %s %d
% 0.12/0.32 % Computer : n029.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.32 % CPULimit : 300
% 0.17/0.32 % WCLimit : 600
% 0.17/0.32 % DateTime : Tue Jun 14 10:44:55 EDT 2022
% 0.17/0.32 % CPUTime :
% 0.17/0.43 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.44 *
% 0.17/0.44 *
% 0.17/0.45 #<PACKAGE "SNARK-USER">
% 0.17/0.45 *
% 0.17/0.45 SNARK-TPTP-OPTIONS
% 0.17/0.45 *
% 0.17/0.45 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.17/0.45 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.17/0.45 (USE-FACTORING :POS)
% 0.17/0.45 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.17/0.45 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.17/0.45 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.17/0.45 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.17/0.45 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.17/0.45 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.17/0.45 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.17/0.45 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.17/0.45 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.17/0.45 (DECLARE-TPTP-SYMBOLS2))
% 0.17/0.45 *
% 0.17/0.45 "."
% 0.17/0.45 *
% 0.17/0.45 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T10:44:56
% 0.17/0.45 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n029.cluster.edu at 2022-06-14T10:44:56
% 0.17/0.46
% 0.17/0.46 ; Recognized possible left identity assertion (|product| |identity| ?X ?X).
% 0.17/0.46 ; Recognized possible right identity assertion (|product| ?X |identity| ?X).
% 0.17/0.46 ; Recognized possible left inverse assertion (|product| (|inverse| ?X) ?X |identity|).
% 0.17/0.46 ; Recognized possible right inverse assertion (|product| ?X (|inverse| ?X) |identity|).
% 0.17/0.46 ; Recognized relation function assertion (|product| ?X ?Y (|multiply| ?X ?Y)).
% 0.17/0.46 ; Recognized relation functionality assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?X ?Y ?U)) (= ?Z ?U)).
% 0.17/0.46 ; Recognized possible associativity assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?Y ?U ?V)) (NOT (|product| ?Z ?U ?W)) (|product| ?X ?V ?W)).
% 0.17/0.49 ; Recognized possible associativity assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?Y ?U ?V)) (NOT (|product| ?X ?V ?W)) (|product| ?Z ?U ?W)).
% 0.17/0.49
% 0.17/0.49 #||
% 0.17/0.49 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.49 % SZS output start Refutation
% See solution above
% 0.17/0.49 ||#
% 0.17/0.49
% 0.17/0.49 ; Summary of computation:
% 0.17/0.49 ; 464 formulas have been input or derived (from 11 formulas).
% 0.17/0.49 ; 37 ( 8%) were retained. Of these,
% 0.17/0.49 ; 37 (100%) are still being kept.
% 0.17/0.49 ;
% 0.17/0.49 ; Run time in seconds:
% 0.17/0.49 ; 0.003 7% Read assertion file (1 call)
% 0.17/0.49 ; 0.000 0% Assert (10 calls)
% 0.17/0.49 ; 0.007 17% Process new row (260 calls)
% 0.17/0.49 ; 0.009 22% Resolution (20 calls)
% 0.17/0.49 ; 0.000 0% Paramodulation (10 calls)
% 0.17/0.49 ; 0.000 0% Condensing (3 calls)
% 0.17/0.49 ; 0.000 0% Forward subsumption (3 calls)
% 0.17/0.49 ; 0.000 0% Backward subsumption (3 calls)
% 0.17/0.49 ; 0.000 0% Clause clause subsumption (2 calls)
% 0.17/0.49 ; 0.000 0% Forward simplification (260 calls)
% 0.17/0.49 ; 0.001 2% Backward simplification (37 calls)
% 0.17/0.49 ; 0.000 0% Ordering (7 calls)
% 0.17/0.49 ; 0.000 0% Sortal reasoning (32 calls)
% 0.17/0.49 ; 0.000 0% Purity testing (1 call)
% 0.17/0.49 ; 0.021 51% Other
% 0.17/0.49 ; 0.041 Total
% 0.17/0.49 ; 0.042 Real time
% 0.17/0.49 ;
% 0.17/0.49 ; Term-hash-array has 64 terms in all.
% 0.17/0.49 ; Feature-vector-row-index has 3 entries (3 at peak, 3 added, 0 deleted).
% 0.17/0.49 ; Feature-vector-row-index has 5 nodes (5 at peak, 5 added, 0 deleted).
% 0.17/0.49 ; Retrieved 1 possibly forward subsuming row in 3 calls.
% 0.17/0.49 ; Retrieved 1 possibly backward subsumed row in 3 calls.
% 0.17/0.49 ; Path-index has 67 entries (67 at peak, 67 added, 0 deleted).
% 0.17/0.49 ; Path-index has 133 nodes (133 at peak, 133 added, 0 deleted).
% 0.17/0.49 ; Trie-index has 67 entries (67 at peak, 67 added, 0 deleted).
% 0.17/0.49 ; Trie-index has 166 nodes (166 at peak, 166 added, 0 deleted).
% 0.17/0.49 ; Retrieved 486 generalization terms in 541 calls.
% 0.17/0.49 ; Retrieved 33 instance terms in 33 calls.
% 0.17/0.49 ; Retrieved 3,979 unifiable terms in 646 calls.
% 0.17/0.49 ;
% 0.17/0.49 ; The agenda of rows to process has 154 entries:
% 0.17/0.49 ; 28 with value 8 33 with value 11 6 with value 13
% 0.17/0.49 ; 41 with value 9 18 with value 12 6 with value 14
% 0.17/0.49 ; 22 with value 10
% 0.17/0.49 ; The agenda of rows to give has 26 entries:
% 0.17/0.49 ; 2 with value (4 6) 2 with value (4 9) 1 with value (4 12)
% 0.17/0.49 ; 1 with value (4 7) 5 with value (4 10) 1 with value (4 13)
% 0.17/0.49 ; 9 with value (4 8) 2 with value (4 11) 3 with value (4 14)
% 0.17/0.49 Evaluation took:
% 0.17/0.49 0.042 seconds of real time
% 0.17/0.49 0.036632 seconds of user run time
% 0.17/0.49 0.006117 seconds of system run time
% 0.17/0.49 0 calls to %EVAL
% 0.17/0.49 0 page faults and
% 0.17/0.49 2,383,072 bytes consed.
% 0.17/0.49 :PROOF-FOUND
% 0.17/0.49 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T10:44:56
% 0.17/0.49 :PROOF-FOUND
% 0.17/0.49 *
%------------------------------------------------------------------------------