TSTP Solution File: GRP047-2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP047-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n010.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 11:35:28 EDT 2022
% Result : Unsatisfiable 0.22s 0.55s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 8
% Syntax : Number of clauses : 12 ( 8 unt; 0 nHn; 9 RR)
% Number of literals : 22 ( 0 equ; 12 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 25 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(left_identity,axiom,
product(identity,X,X),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP005-0.ax',left_identity) ).
cnf(total_function1,axiom,
product(X,Y,multiply(X,Y)),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP005-0.ax',total_function1) ).
cnf(total_function2,axiom,
( ~ product(X,Y,Z)
| ~ product(X,Y,U)
| equalish(Z,U) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP005-0.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/GRP005-0.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/GRP005-0.ax',associativity2) ).
cnf(product_substitution3,axiom,
( ~ equalish(X,Y)
| ~ product(Z,U,X)
| product(Z,U,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP005-0.ax',product_substitution3) ).
cnf(a_equals_b,hypothesis,
equalish(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_equals_b) ).
cnf(prove_multiply_substitution2,negated_conjecture,
~ equalish(multiply(c,a),multiply(c,b)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_multiply_substitution2) ).
cnf(14,plain,
~ product(c,b,multiply(c,a)),
inference('UR-RESOLVE',[status(thm)],[total_function2,total_function1,prove_multiply_substitution2]) ).
cnf(20,plain,
product(identity,a,b),
inference('HYPERRESOLVE',[status(thm)],[product_substitution3,a_equals_b,left_identity]) ).
cnf(38,plain,
product(multiply(X,identity),Y,multiply(X,Y)),
inference('HYPERRESOLVE',[status(thm)],[associativity2,total_function1,left_identity,total_function1]) ).
cnf(110,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[associativity1,14,total_function1,20]),38]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : GRP047-2 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.14 % Command : run-snark %s %d
% 0.14/0.35 % Computer : n010.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Mon Jun 13 11:57:09 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.22/0.48 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.49 *
% 0.22/0.49 *
% 0.22/0.49 #<PACKAGE "SNARK-USER">
% 0.22/0.49 *
% 0.22/0.49 SNARK-TPTP-OPTIONS
% 0.22/0.49 *
% 0.22/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.22/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.22/0.49 (USE-FACTORING :POS)
% 0.22/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.22/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.22/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.22/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.22/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.22/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.22/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.22/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.22/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.22/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.22/0.49 *
% 0.22/0.49 "."
% 0.22/0.49 *
% 0.22/0.49 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-13T11:57:10
% 0.22/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n010.cluster.edu at 2022-06-13T11:57:10
% 0.22/0.51
% 0.22/0.51 ; Recognized possible left identity assertion (|product| |identity| ?X ?X).
% 0.22/0.51 ; Recognized possible left inverse assertion (|product| (|inverse| ?X) ?X |identity|).
% 0.22/0.51 ; Recognized relation function assertion (|product| ?X ?Y (|multiply| ?X ?Y)).
% 0.22/0.51 ; Recognized possible associativity assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?Y ?U ?V)) (NOT (|product| ?Z ?U ?W)) (|product| ?X ?V ?W)).
% 0.22/0.55 ; Recognized possible associativity assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?Y ?U ?V)) (NOT (|product| ?X ?V ?W)) (|product| ?Z ?U ?W)).
% 0.22/0.55
% 0.22/0.55 #||
% 0.22/0.55 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.55 % SZS output start Refutation
% See solution above
% 0.22/0.55 ||#
% 0.22/0.55
% 0.22/0.55 ; Summary of computation:
% 0.22/0.55 ; 467 formulas have been input or derived (from 18 formulas).
% 0.22/0.55 ; 110 (24%) were retained. Of these,
% 0.22/0.55 ; 1 ( 1%) were simplified or subsumed later,
% 0.22/0.55 ; 109 (99%) are still being kept.
% 0.22/0.55 ;
% 0.22/0.55 ; Run time in seconds excluding printing time:
% 0.22/0.55 ; 0.002 4% Read assertion file (1 call)
% 0.22/0.55 ; 0.000 0% Assert (9 calls)
% 0.22/0.55 ; 0.005 9% Process new row (426 calls)
% 0.22/0.55 ; 0.010 19% Resolution (34 calls)
% 0.22/0.55 ; 0.000 0% Paramodulation (17 calls)
% 0.22/0.55 ; 0.000 0% Condensing (4 calls)
% 0.22/0.55 ; 0.001 2% Forward subsumption (4 calls)
% 0.22/0.55 ; 0.000 0% Backward subsumption (4 calls)
% 0.22/0.55 ; 0.000 0% Clause clause subsumption (2 calls)
% 0.22/0.55 ; 0.007 13% Forward simplification (426 calls)
% 0.22/0.55 ; 0.001 2% Backward simplification (110 calls)
% 0.22/0.55 ; 0.000 0% Sortal reasoning (32 calls)
% 0.22/0.55 ; 0.000 0% Purity testing (1 call)
% 0.22/0.55 ; 0.028 52% Other
% 0.22/0.55 ; 0.054 Total
% 0.22/0.55 ; 0.056 Real time
% 0.22/0.55 ;
% 0.22/0.55 ; Term-hash-array has 169 terms in all.
% 0.22/0.55 ; Feature-vector-row-index has 4 entries (4 at peak, 4 added, 0 deleted).
% 0.22/0.55 ; Feature-vector-row-index has 8 nodes (8 at peak, 8 added, 0 deleted).
% 0.22/0.55 ; Retrieved 1 possibly forward subsuming row in 4 calls.
% 0.22/0.55 ; Retrieved 1 possibly backward subsumed row in 4 calls.
% 0.22/0.55 ; Path-index has 172 entries (172 at peak, 173 added, 1 deleted).
% 0.22/0.55 ; Path-index has 193 nodes (193 at peak, 195 added, 2 deleted).
% 0.22/0.55 ; Trie-index has 172 entries (172 at peak, 173 added, 1 deleted).
% 0.22/0.55 ; Trie-index has 481 nodes (481 at peak, 483 added, 2 deleted).
% 0.22/0.55 ; Retrieved 466 generalization terms in 432 calls.
% 0.22/0.55 ; Retrieved 112 instance terms in 105 calls.
% 0.22/0.55 ; Retrieved 7,891 unifiable terms in 801 calls.
% 0.22/0.55 ;
% 0.22/0.55 ; The agenda of rows to process has 4 entries:
% 0.22/0.55 ; 1 with value 12 2 with value 13 1 with value 14
% 0.22/0.55 ; The agenda of rows to give has 91 entries:
% 0.22/0.55 ; 1 with value (4 7) 20 with value (4 11) 10 with value (4 14)
% 0.22/0.55 ; 8 with value (4 9) 18 with value (4 12) 1 with value (4 15)
% 0.22/0.55 ; 13 with value (4 10) 20 with value (4 13)
% 0.22/0.55 Evaluation took:
% 0.22/0.55 0.057 seconds of real time
% 0.22/0.55 0.048302 seconds of user run time
% 0.22/0.55 0.008008 seconds of system run time
% 0.22/0.55 0 calls to %EVAL
% 0.22/0.55 0 page faults and
% 0.22/0.55 3,098,864 bytes consed.
% 0.22/0.55 :PROOF-FOUND
% 0.22/0.55 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-13T11:57:10
% 0.22/0.55 :PROOF-FOUND
% 0.22/0.55 *
%------------------------------------------------------------------------------