TSTP Solution File: GRP008-1 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP008-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n027.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 0.20s 0.55s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 9
% Syntax : Number of clauses : 12 ( 8 unt; 1 nHn; 7 RR)
% Number of literals : 21 ( 2 equ; 8 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 16 ( 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(left_inverse,axiom,
product(inverse(X),X,identity),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP003-0.ax',left_inverse) ).
cnf(right_inverse,axiom,
product(X,inverse(X),identity),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP003-0.ax',right_inverse) ).
cnf(total_function2,axiom,
( ~ product(X,Y,Z)
| ~ product(X,Y,U)
| Z = U ),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP003-0.ax',total_function2) ).
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(unknown_meaning3,axiom,
( product(j(X),X,h(X))
| product(X,j(X),h(X))
| q(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown_meaning3) ).
cnf(unknown_meaning4,axiom,
( ~ product(j(X),X,h(X))
| ~ product(X,j(X),h(X))
| q(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown_meaning4) ).
cnf(prove_identity_is_q,negated_conjecture,
~ q(identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_identity_is_q) ).
cnf(26,plain,
product(j(identity),identity,h(identity)),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[associativity1,right_inverse,left_inverse,unknown_meaning3]),prove_identity_is_q]) ).
cnf(82,plain,
h(identity) = j(identity),
inference('HYPERRESOLVE',[status(thm)],[total_function2,26,right_identity]) ).
cnf(83,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[unknown_meaning4,82,theory(equality)]),prove_identity_is_q,left_identity,right_identity]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP008-1 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n027.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
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Mon Jun 13 18:10:02 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox2/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 *
% 0.20/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47 (USE-FACTORING :POS)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47 *
% 0.20/0.47 "."
% 0.20/0.47 *
% 0.20/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-13T18:10:02
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n027.cluster.edu at 2022-06-13T18:10:02
% 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)).
% 0.20/0.55 ; Recognized possible associativity assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?Y ?U ?V)) (NOT (|product| ?X ?V ?W)) (|product| ?Z ?U ?W)).
% 0.20/0.55
% 0.20/0.55 #||
% 0.20/0.55 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.55 % SZS output start Refutation
% See solution above
% 0.20/0.55 ||#
% 0.20/0.55
% 0.20/0.55 ; Summary of computation:
% 0.20/0.55 ; 668 formulas have been input or derived (from 18 formulas).
% 0.20/0.55 ; 83 (12%) were retained. Of these,
% 0.20/0.55 ; 4 ( 5%) were simplified or subsumed later,
% 0.20/0.55 ; 79 (95%) are still being kept.
% 0.20/0.55 ;
% 0.20/0.55 ; Run time in seconds excluding printing time:
% 0.20/0.55 ; 0.003 4% Read assertion file (1 call)
% 0.20/0.55 ; 0.001 1% Assert (12 calls)
% 0.20/0.55 ; 0.006 8% Process new row (596 calls)
% 0.20/0.55 ; 0.016 22% Resolution (34 calls)
% 0.20/0.55 ; 0.001 1% Paramodulation (17 calls)
% 0.20/0.55 ; 0.000 0% Factoring (1 call)
% 0.20/0.55 ; 0.004 5% Condensing (84 calls)
% 0.20/0.55 ; 0.005 7% Forward subsumption (84 calls)
% 0.20/0.55 ; 0.003 4% Backward subsumption (52 calls)
% 0.20/0.55 ; 0.001 1% Clause clause subsumption (266 calls)
% 0.20/0.55 ; 0.005 7% Forward simplification (478 calls)
% 0.20/0.55 ; 0.001 1% Backward simplification (83 calls)
% 0.20/0.55 ; 0.001 1% Ordering (388 calls)
% 0.20/0.55 ; 0.001 1% Sortal reasoning (32 calls)
% 0.20/0.55 ; 0.000 0% Purity testing (1 call)
% 0.20/0.55 ; 0.026 35% Other
% 0.20/0.55 ; 0.074 Total
% 0.20/0.55 ; 0.076 Real time
% 0.20/0.55 ;
% 0.20/0.55 ; Term-hash-array has 163 terms in all.
% 0.20/0.55 ; Feature-vector-row-index has 50 entries (50 at peak, 52 added, 2 deleted).
% 0.20/0.55 ; Feature-vector-row-index has 109 nodes (109 at peak, 119 added, 10 deleted).
% 0.20/0.55 ; Retrieved 204 possibly forward subsuming rows in 84 calls.
% 0.20/0.55 ; Retrieved 78 possibly backward subsumed rows in 52 calls.
% 0.20/0.55 ; Path-index has 162 entries (164 at peak, 165 added, 3 deleted).
% 0.20/0.55 ; Path-index has 347 nodes (350 at peak, 352 added, 5 deleted).
% 0.20/0.55 ; Trie-index has 162 entries (164 at peak, 165 added, 3 deleted).
% 0.20/0.55 ; Trie-index has 596 nodes (603 at peak, 606 added, 10 deleted).
% 0.20/0.55 ; Retrieved 996 generalization terms in 1,396 calls.
% 0.20/0.55 ; Retrieved 30 instance terms in 30 calls.
% 0.20/0.55 ; Retrieved 6,999 unifiable terms in 803 calls.
% 0.20/0.55 ;
% 0.20/0.55 ; The agenda of rows to process has 1 entry:
% 0.20/0.55 ; 1 with value 22
% 0.20/0.55 ; The agenda of rows to give has 62 entries:
% 0.20/0.55 ; 8 with value (4 10) 4 with value (4 22) 2 with value (4 29)
% 0.20/0.55 ; 2 with value (4 11) 8 with value (4 23) 2 with value (4 32)
% 0.20/0.55 ; 2 with value (4 13) 2 with value (4 24) 2 with value (4 38)
% 0.20/0.55 ; 6 with value (4 14) 12 with value (4 25) 8 with value (4 44)
% 0.20/0.55 ; 2 with value (4 21) 2 with value (4 26)
% 0.20/0.55 Evaluation took:
% 0.20/0.55 0.076 seconds of real time
% 0.20/0.55 0.063703 seconds of user run time
% 0.20/0.55 0.012952 seconds of system run time
% 0.20/0.55 0 calls to %EVAL
% 0.20/0.55 0 page faults and
% 0.20/0.55 4,177,024 bytes consed.
% 0.20/0.55 :PROOF-FOUND
% 0.20/0.55 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-13T18:10:02
% 0.20/0.55 :PROOF-FOUND
% 0.20/0.55 *
%------------------------------------------------------------------------------