TSTP Solution File: GRP012-3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP012-3 : 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 11:35:14 EDT 2022
% Result : Unsatisfiable 0.19s 0.57s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 9
% Syntax : Number of clauses : 13 ( 10 unt; 0 nHn; 6 RR)
% Number of literals : 21 ( 2 equ; 10 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 26 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(left_identity,axiom,
product(identity,X,X),
file('/export/starexec/sandbox/benchmark/Axioms/GRP003-0.ax',left_identity) ).
cnf(right_identity,axiom,
product(X,identity,X),
file('/export/starexec/sandbox/benchmark/Axioms/GRP003-0.ax',right_identity) ).
cnf(left_inverse,axiom,
product(inverse(X),X,identity),
file('/export/starexec/sandbox/benchmark/Axioms/GRP003-0.ax',left_inverse) ).
cnf(right_inverse,axiom,
product(X,inverse(X),identity),
file('/export/starexec/sandbox/benchmark/Axioms/GRP003-0.ax',right_inverse) ).
cnf(total_function1,axiom,
product(X,Y,multiply(X,Y)),
file('/export/starexec/sandbox/benchmark/Axioms/GRP003-0.ax',total_function1) ).
cnf(total_function2,axiom,
( ~ product(X,Y,Z)
| ~ product(X,Y,U)
| Z = U ),
file('/export/starexec/sandbox/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/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(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(15,plain,
~ product(inverse(b),inverse(a),inverse(multiply(a,b))),
inference('UR-RESOLVE',[status(thm)],[total_function2,total_function1,prove_inverse_of_product_is_product_of_inverses]) ).
cnf(30,plain,
product(multiply(X,Y),inverse(Y),X),
inference('HYPERRESOLVE',[status(thm)],[associativity2,total_function1,right_inverse,right_identity]) ).
cnf(54,plain,
product(inverse(multiply(X,Y)),X,inverse(Y)),
inference('HYPERRESOLVE',[status(thm)],[associativity1,30,left_inverse,left_identity]) ).
cnf(121,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[associativity2,15,right_inverse,right_identity]),54]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP012-3 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n011.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jun 14 01:55:19 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T01:55:19
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n011.cluster.edu at 2022-06-14T01:55:19
% 0.19/0.48
% 0.19/0.48 ; Recognized possible left identity assertion (|product| |identity| ?X ?X).
% 0.19/0.48 ; Recognized possible right identity assertion (|product| ?X |identity| ?X).
% 0.19/0.48 ; Recognized possible left inverse assertion (|product| (|inverse| ?X) ?X |identity|).
% 0.19/0.48 ; Recognized possible right inverse assertion (|product| ?X (|inverse| ?X) |identity|).
% 0.19/0.48 ; Recognized relation function assertion (|product| ?X ?Y (|multiply| ?X ?Y)).
% 0.19/0.48 ; Recognized relation functionality assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?X ?Y ?U)) (= ?Z ?U)).
% 0.19/0.48 ; Recognized possible associativity assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?Y ?U ?V)) (NOT (|product| ?Z ?U ?W)) (|product| ?X ?V ?W)).
% 0.19/0.57 ; Recognized possible associativity assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?Y ?U ?V)) (NOT (|product| ?X ?V ?W)) (|product| ?Z ?U ?W)).
% 0.19/0.57
% 0.19/0.57 #||
% 0.19/0.57 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.57 % SZS output start Refutation
% See solution above
% 0.19/0.57 ||#
% 0.19/0.57
% 0.19/0.57 ; Summary of computation:
% 0.19/0.57 ; 1793 formulas have been input or derived (from 22 formulas).
% 0.19/0.57 ; 121 ( 7%) were retained. Of these,
% 0.19/0.57 ; 14 (12%) were simplified or subsumed later,
% 0.19/0.57 ; 107 (88%) are still being kept.
% 0.19/0.57 ;
% 0.19/0.57 ; Run time in seconds excluding printing time:
% 0.19/0.57 ; 0.002 2% Read assertion file (1 call)
% 0.19/0.57 ; 0.000 0% Assert (9 calls)
% 0.19/0.57 ; 0.013 13% Process new row (1,545 calls)
% 0.19/0.57 ; 0.035 34% Resolution (42 calls)
% 0.19/0.57 ; 0.000 0% Paramodulation (21 calls)
% 0.19/0.57 ; 0.000 0% Condensing (3 calls)
% 0.19/0.57 ; 0.000 0% Forward subsumption (3 calls)
% 0.19/0.57 ; 0.000 0% Backward subsumption (3 calls)
% 0.19/0.57 ; 0.000 0% Clause clause subsumption (2 calls)
% 0.19/0.57 ; 0.023 23% Forward simplification (1,420 calls)
% 0.19/0.57 ; 0.001 1% Backward simplification (121 calls)
% 0.19/0.57 ; 0.001 1% Ordering (67 calls)
% 0.19/0.57 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.57 ; 0.000 0% Purity testing (1 call)
% 0.19/0.57 ; 0.027 26% Other
% 0.19/0.57 ; 0.102 Total
% 0.19/0.57 ; 0.104 Real time
% 0.19/0.57 ;
% 0.19/0.57 ; Term-hash-array has 253 terms in all.
% 0.19/0.57 ; Feature-vector-row-index has 3 entries (3 at peak, 3 added, 0 deleted).
% 0.19/0.57 ; Feature-vector-row-index has 5 nodes (5 at peak, 5 added, 0 deleted).
% 0.19/0.57 ; Retrieved 1 possibly forward subsuming row in 3 calls.
% 0.19/0.57 ; Retrieved 1 possibly backward subsumed row in 3 calls.
% 0.19/0.57 ; Path-index has 240 entries (240 at peak, 256 added, 16 deleted).
% 0.19/0.57 ; Path-index has 413 nodes (413 at peak, 420 added, 7 deleted).
% 0.19/0.57 ; Trie-index has 240 entries (240 at peak, 256 added, 16 deleted).
% 0.19/0.57 ; Trie-index has 821 nodes (821 at peak, 878 added, 57 deleted).
% 0.19/0.57 ; Retrieved 3,966 generalization terms in 5,059 calls.
% 0.19/0.57 ; Retrieved 130 instance terms in 117 calls.
% 0.19/0.57 ; Retrieved 21,799 unifiable terms in 2,080 calls.
% 0.19/0.57 ;
% 0.19/0.57 ; The agenda of rows to process has 89 entries:
% 0.19/0.57 ; 1 with value 13 6 with value 17 12 with value 21
% 0.19/0.57 ; 1 with value 14 10 with value 18 8 with value 22
% 0.19/0.57 ; 6 with value 15 16 with value 19 6 with value 23
% 0.19/0.57 ; 13 with value 16 10 with value 20
% 0.19/0.57 ; The agenda of rows to give has 86 entries:
% 0.19/0.57 ; 4 with value (4 13) 14 with value (4 17) 10 with value (4 20)
% 0.19/0.57 ; 8 with value (4 14) 22 with value (4 18) 2 with value (4 21)
% 0.19/0.57 ; 10 with value (4 15) 8 with value (4 19) 2 with value (4 22)
% 0.19/0.57 ; 6 with value (4 16)
% 0.19/0.57 Evaluation took:
% 0.19/0.57 0.104 seconds of real time
% 0.19/0.57 0.089619 seconds of user run time
% 0.19/0.57 0.013976 seconds of system run time
% 0.19/0.57 0 calls to %EVAL
% 0.19/0.57 0 page faults and
% 0.19/0.57 5,891,936 bytes consed.
% 0.19/0.57 :PROOF-FOUND
% 0.19/0.57 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T01:55:19
% 0.19/0.57 :PROOF-FOUND
% 0.19/0.57 *
%------------------------------------------------------------------------------