TSTP Solution File: GRP013-1 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP013-1 : 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 11:35:15 EDT 2022
% Result : Unsatisfiable 0.37s 0.53s
% Output : Refutation 0.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 7
% Syntax : Number of clauses : 10 ( 8 unt; 0 nHn; 8 RR)
% Number of literals : 14 ( 0 equ; 6 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 : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 11 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(right_identity,axiom,
product(X,identity,X),
file('/export/starexec/sandbox/benchmark/Axioms/GRP003-0.ax',right_identity) ).
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(squareness,hypothesis,
product(X,X,identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',squareness) ).
cnf(a_times_b_is_c,hypothesis,
product(a,b,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_times_b_is_c) ).
cnf(inverse_a_times_inverse_b_is_d,hypothesis,
product(inverse(a),inverse(b),d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse_a_times_inverse_b_is_d) ).
cnf(inverses_have_property,hypothesis,
( ~ product(inverse(X),inverse(Y),Z)
| product(X,Z,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverses_have_property) ).
cnf(prove_c_times_d_is_identity,negated_conjecture,
~ product(c,d,identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_c_times_d_is_identity) ).
cnf(14,plain,
product(a,d,b),
inference('HYPERRESOLVE',[status(thm)],[inverses_have_property,inverse_a_times_inverse_b_is_d]) ).
cnf(71,plain,
~ product(b,d,a),
inference('UR-RESOLVE',[status(thm)],[associativity2,a_times_b_is_c,squareness,prove_c_times_d_is_identity]) ).
cnf(110,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[associativity2,14,squareness,right_identity]),71]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : GRP013-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n027.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Mon Jun 13 11:31:47 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 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 0.19/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46 (USE-FACTORING :POS)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46 *
% 0.19/0.46 "."
% 0.19/0.46 *
% 0.19/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-13T11:31:47
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n027.cluster.edu at 2022-06-13T11:31:47
% 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)).
% 0.37/0.53 ; Recognized possible associativity assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?Y ?U ?V)) (NOT (|product| ?X ?V ?W)) (|product| ?Z ?U ?W)).
% 0.37/0.53
% 0.37/0.53 #||
% 0.37/0.53 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.37/0.53 % SZS output start Refutation
% See solution above
% 0.37/0.53 ||#
% 0.37/0.53
% 0.37/0.53 ; Summary of computation:
% 0.37/0.53 ; 952 formulas have been input or derived (from 15 formulas).
% 0.37/0.53 ; 110 (12%) were retained. Of these,
% 0.37/0.53 ; 1 ( 1%) were simplified or subsumed later,
% 0.37/0.53 ; 109 (99%) are still being kept.
% 0.37/0.53 ;
% 0.37/0.53 ; Run time in seconds excluding printing time:
% 0.37/0.53 ; 0.003 4% Read assertion file (1 call)
% 0.37/0.53 ; 0.001 1% Assert (13 calls)
% 0.37/0.53 ; 0.009 13% Process new row (699 calls)
% 0.37/0.53 ; 0.017 25% Resolution (28 calls)
% 0.37/0.53 ; 0.000 0% Paramodulation (14 calls)
% 0.37/0.53 ; 0.000 0% Condensing (4 calls)
% 0.37/0.53 ; 0.000 0% Forward subsumption (4 calls)
% 0.37/0.53 ; 0.000 0% Backward subsumption (4 calls)
% 0.37/0.53 ; 0.000 0% Clause clause subsumption (2 calls)
% 0.37/0.53 ; 0.009 13% Forward simplification (699 calls)
% 0.37/0.53 ; 0.002 3% Backward simplification (110 calls)
% 0.37/0.53 ; 0.000 0% Ordering (9 calls)
% 0.37/0.53 ; 0.000 0% Sortal reasoning (32 calls)
% 0.37/0.53 ; 0.000 0% Purity testing (1 call)
% 0.37/0.53 ; 0.027 40% Other
% 0.37/0.53 ; 0.068 Total
% 0.37/0.53 ; 0.070 Real time
% 0.37/0.53 ;
% 0.37/0.53 ; Term-hash-array has 185 terms in all.
% 0.37/0.53 ; Feature-vector-row-index has 4 entries (4 at peak, 4 added, 0 deleted).
% 0.37/0.53 ; Feature-vector-row-index has 8 nodes (8 at peak, 8 added, 0 deleted).
% 0.37/0.53 ; Retrieved 1 possibly forward subsuming row in 4 calls.
% 0.37/0.53 ; Retrieved 1 possibly backward subsumed row in 4 calls.
% 0.37/0.53 ; Path-index has 189 entries (189 at peak, 191 added, 2 deleted).
% 0.37/0.53 ; Path-index has 252 nodes (252 at peak, 255 added, 3 deleted).
% 0.37/0.53 ; Trie-index has 189 entries (189 at peak, 191 added, 2 deleted).
% 0.37/0.53 ; Trie-index has 492 nodes (492 at peak, 497 added, 5 deleted).
% 0.37/0.53 ; Retrieved 1,661 generalization terms in 1,524 calls.
% 0.37/0.53 ; Retrieved 121 instance terms in 105 calls.
% 0.37/0.53 ; Retrieved 10,427 unifiable terms in 1,274 calls.
% 0.37/0.53 ;
% 0.37/0.53 ; The agenda of rows to process has 85 entries:
% 0.37/0.54 ; 20 with value 7 34 with value 10 12 with value 12
% 0.37/0.54 ; 9 with value 9 4 with value 11 6 with value 13
% 0.37/0.54 ; The agenda of rows to give has 94 entries:
% 0.37/0.54 ; 7 with value (4 6) 10 with value (4 10) 4 with value (4 13)
% 0.37/0.54 ; 1 with value (4 7) 14 with value (4 11) 10 with value (4 14)
% 0.37/0.54 ; 20 with value (4 8) 12 with value (4 12) 2 with value (4 15)
% 0.37/0.54 ; 14 with value (4 9)
% 0.37/0.54 Evaluation took:
% 0.37/0.54 0.07 seconds of real time
% 0.37/0.54 0.064323 seconds of user run time
% 0.37/0.54 0.005948 seconds of system run time
% 0.37/0.54 0 calls to %EVAL
% 0.37/0.54 0 page faults and
% 0.37/0.54 3,529,896 bytes consed.
% 0.37/0.54 :PROOF-FOUND
% 0.37/0.54 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-13T11:31:47
% 0.37/0.54 :PROOF-FOUND
% 0.37/0.54 *
%------------------------------------------------------------------------------