TSTP Solution File: GRP001-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP001-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n011.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 11:35:07 EDT 2022
% Result : Unsatisfiable 0.19s 0.54s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 7
% Syntax : Number of clauses : 10 ( 8 unt; 0 nHn; 7 RR)
% Number of literals : 16 ( 0 equ; 8 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 15 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(left_identity,axiom,
product(identity,X,X),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP003-0.ax',left_identity) ).
cnf(right_identity,axiom,
product(X,identity,X),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP003-0.ax',right_identity) ).
cnf(associativity1,axiom,
( ~ product(X,Y,Z)
| ~ product(Y,U,V)
| ~ product(Z,U,W)
| product(X,V,W) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/GRP003-0.ax',associativity2) ).
cnf(square_element,hypothesis,
product(X,X,identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',square_element) ).
cnf(a_times_b_is_c,negated_conjecture,
product(a,b,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_times_b_is_c) ).
cnf(prove_b_times_a_is_c,negated_conjecture,
~ product(b,a,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_b_times_a_is_c) ).
cnf(19,plain,
product(a,c,b),
inference('HYPERRESOLVE',[status(thm)],[associativity1,square_element,a_times_b_is_c,left_identity]) ).
cnf(21,plain,
~ product(b,c,a),
inference('UR-RESOLVE',[status(thm)],[associativity1,square_element,left_identity,prove_b_times_a_is_c]) ).
cnf(69,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[associativity2,19,square_element,right_identity]),21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GRP001-1 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n011.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 04:50:49 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.47 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.48 *
% 0.19/0.48 *
% 0.19/0.48 #<PACKAGE "SNARK-USER">
% 0.19/0.48 *
% 0.19/0.49 SNARK-TPTP-OPTIONS
% 0.19/0.49 *
% 0.19/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.49 (USE-FACTORING :POS)
% 0.19/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.49 *
% 0.19/0.49 "."
% 0.19/0.49 *
% 0.19/0.49 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-14T04:50:49
% 0.19/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n011.cluster.edu at 2022-06-14T04:50:49
% 0.19/0.50
% 0.19/0.50 ; Recognized possible left identity assertion (|product| |identity| ?X ?X).
% 0.19/0.50 ; Recognized possible right identity assertion (|product| ?X |identity| ?X).
% 0.19/0.50 ; Recognized possible left inverse assertion (|product| (|inverse| ?X) ?X |identity|).
% 0.19/0.50 ; Recognized possible right inverse assertion (|product| ?X (|inverse| ?X) |identity|).
% 0.19/0.50 ; Recognized relation function assertion (|product| ?X ?Y (|multiply| ?X ?Y)).
% 0.19/0.50 ; Recognized relation functionality assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?X ?Y ?U)) (= ?Z ?U)).
% 0.19/0.50 ; Recognized possible associativity assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?Y ?U ?V)) (NOT (|product| ?Z ?U ?W)) (|product| ?X ?V ?W)).
% 0.19/0.54 ; Recognized possible associativity assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?Y ?U ?V)) (NOT (|product| ?X ?V ?W)) (|product| ?Z ?U ?W)).
% 0.19/0.54
% 0.19/0.54 #||
% 0.19/0.54 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.54 % SZS output start Refutation
% See solution above
% 0.19/0.54 ||#
% 0.19/0.54
% 0.19/0.54 ; Summary of computation:
% 0.19/0.54 ; 813 formulas have been input or derived (from 13 formulas).
% 0.19/0.54 ; 69 ( 8%) were retained. Of these,
% 0.19/0.54 ; 69 (100%) are still being kept.
% 0.19/0.54 ;
% 0.19/0.54 ; Run time in seconds excluding printing time:
% 0.19/0.54 ; 0.003 5% Read assertion file (1 call)
% 0.19/0.54 ; 0.001 2% Assert (11 calls)
% 0.19/0.54 ; 0.007 12% Process new row (578 calls)
% 0.19/0.54 ; 0.014 25% Resolution (24 calls)
% 0.19/0.54 ; 0.000 0% Paramodulation (12 calls)
% 0.19/0.55 ; 0.001 2% Condensing (3 calls)
% 0.19/0.55 ; 0.000 0% Forward subsumption (3 calls)
% 0.19/0.55 ; 0.000 0% Backward subsumption (3 calls)
% 0.19/0.55 ; 0.000 0% Clause clause subsumption (2 calls)
% 0.19/0.55 ; 0.005 9% Forward simplification (578 calls)
% 0.19/0.55 ; 0.000 0% Backward simplification (69 calls)
% 0.19/0.55 ; 0.000 0% Ordering (8 calls)
% 0.19/0.55 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.55 ; 0.000 0% Purity testing (1 call)
% 0.19/0.55 ; 0.026 46% Other
% 0.19/0.55 ; 0.057 Total
% 0.19/0.55 ; 0.059 Real time
% 0.19/0.55 ;
% 0.19/0.55 ; Term-hash-array has 118 terms in all.
% 0.19/0.55 ; Feature-vector-row-index has 3 entries (3 at peak, 3 added, 0 deleted).
% 0.19/0.55 ; Feature-vector-row-index has 5 nodes (5 at peak, 5 added, 0 deleted).
% 0.19/0.55 ; Retrieved 1 possibly forward subsuming row in 3 calls.
% 0.19/0.55 ; Retrieved 1 possibly backward subsumed row in 3 calls.
% 0.19/0.55 ; Path-index has 122 entries (122 at peak, 122 added, 0 deleted).
% 0.19/0.55 ; Path-index has 194 nodes (194 at peak, 194 added, 0 deleted).
% 0.19/0.55 ; Trie-index has 122 entries (122 at peak, 122 added, 0 deleted).
% 0.19/0.55 ; Trie-index has 307 nodes (307 at peak, 307 added, 0 deleted).
% 0.19/0.55 ; Retrieved 1,372 generalization terms in 1,194 calls.
% 0.19/0.55 ; Retrieved 72 instance terms in 65 calls.
% 0.19/0.55 ; Retrieved 7,457 unifiable terms in 1,103 calls.
% 0.19/0.55 ;
% 0.19/0.55 ; The agenda of rows to process has 84 entries:
% 0.19/0.55 ; 21 with value 7 37 with value 10 12 with value 12
% 0.19/0.55 ; 6 with value 9 4 with value 11 4 with value 13
% 0.19/0.55 ; The agenda of rows to give has 56 entries:
% 0.19/0.55 ; 5 with value (4 6) 8 with value (4 9) 6 with value (4 12)
% 0.19/0.55 ; 1 with value (4 7) 8 with value (4 10) 2 with value (4 13)
% 0.19/0.55 ; 12 with value (4 8) 8 with value (4 11) 6 with value (4 14)
% 0.19/0.55 Evaluation took:
% 0.19/0.55 0.059 seconds of real time
% 0.19/0.55 0.048903 seconds of user run time
% 0.19/0.55 0.010592 seconds of system run time
% 0.19/0.55 0 calls to %EVAL
% 0.19/0.55 0 page faults and
% 0.19/0.55 3,094,992 bytes consed.
% 0.19/0.55 :PROOF-FOUND
% 0.19/0.55 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-14T04:50:49
% 0.19/0.55 :PROOF-FOUND
% 0.19/0.55 *
%------------------------------------------------------------------------------