TSTP Solution File: BOO011-2 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : BOO011-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n022.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 : Thu Jul 14 23:48:55 EDT 2022

% Result   : Unsatisfiable 0.19s 0.51s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    1
%            Number of leaves      :    3
% Syntax   : Number of clauses     :    4 (   4 unt;   0 nHn;   2 RR)
%            Number of literals    :    4 (   3 equ;   1 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :    2 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(additive_inverse1,axiom,
    add(X,inverse(X)) = multiplicative_identity,
    file('/export/starexec/sandbox/benchmark/Axioms/BOO003-0.ax',additive_inverse1) ).

cnf(additive_id1,axiom,
    add(X,additive_identity) = X,
    file('/export/starexec/sandbox/benchmark/Axioms/BOO003-0.ax',additive_id1) ).

cnf(prove_inverse_of_1_is_0,negated_conjecture,
    inverse(additive_identity) != multiplicative_identity,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_inverse_of_1_is_0) ).

cnf(9,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[additive_id1,additive_inverse1,theory(equality)]),prove_inverse_of_1_is_0]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : BOO011-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.12/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n022.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 : Wed Jun  1 22:41:37 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.19/0.46  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47  * 
% 0.19/0.47  * 
% 0.19/0.48  #<PACKAGE "SNARK-USER">
% 0.19/0.48  * 
% 0.19/0.48  SNARK-TPTP-OPTIONS
% 0.19/0.48  * 
% 0.19/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.48   (USE-FACTORING :POS)
% 0.19/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.48  * 
% 0.19/0.48  "."
% 0.19/0.48  * 
% 0.19/0.48  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-01T22:41:37
% 0.19/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n022.cluster.edu at 2022-06-01T22:41:37
% 0.19/0.49  
% 0.19/0.49  ; Recognized commutativity assertion (= (|add| ?X ?Y) (|add| ?Y ?X)).
% 0.19/0.49  ; Recognized commutativity assertion (= (|multiply| ?X ?Y) (|multiply| ?Y ?X)).
% 0.19/0.49  ; Recognized possible right inverse assertion (= (|add| ?X (|inverse| ?X)) |multiplicative_identity|).
% 0.19/0.49  ; Recognized possible left inverse assertion (= (|add| (|inverse| ?X) ?X) |multiplicative_identity|).
% 0.19/0.49  ; Recognized possible right inverse assertion (= (|multiply| ?X (|inverse| ?X)) |additive_identity|).
% 0.19/0.49  ; Recognized possible left inverse assertion (= (|multiply| (|inverse| ?X) ?X) |additive_identity|).
% 0.19/0.49  ; Recognized right identity assertion (= (|multiply| ?X |multiplicative_identity|) ?X).
% 0.19/0.49  ; Recognized left identity assertion (= (|multiply| |multiplicative_identity| ?X) ?X).
% 0.19/0.49  ; Recognized right identity assertion (= (|add| ?X |additive_identity|) ?X).
% 0.19/0.49  ; Recognized left identity assertion (= (|add| |additive_identity| ?X) ?X).
% 0.19/0.49  ; Declaring add to be commutative.
% 0.19/0.51  ; Declaring multiply to be commutative.
% 0.19/0.51  
% 0.19/0.51  #||
% 0.19/0.51  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.51  % SZS output start Refutation
% See solution above
% 0.19/0.51  ||#
% 0.19/0.51  
% 0.19/0.51  ; Summary of computation:
% 0.19/0.51  ;        20 formulas have been input or derived (from 5 formulas).
% 0.19/0.51  ;         9 (45%) were retained.  Of these,
% 0.19/0.51  ;            1 (11%) were simplified or subsumed later,
% 0.19/0.51  ;            8 (89%) are still being kept.
% 0.19/0.51  ; 
% 0.19/0.51  ; Run time in seconds excluding printing time:
% 0.19/0.51  ;     0.003  11%   Read assertion file          (1 call)
% 0.19/0.51  ;     0.001   4%   Assert                       (15 calls)
% 0.19/0.51  ;     0.001   4%   Process new row              (20 calls)
% 0.19/0.51  ;     0.000   0%   Resolution                   (8 calls)
% 0.19/0.51  ;     0.001   4%   Paramodulation               (4 calls)
% 0.19/0.51  ;     0.000   0%   Forward simplification       (20 calls)
% 0.19/0.51  ;     0.000   0%   Backward simplification      (9 calls)
% 0.19/0.51  ;     0.000   0%   Ordering                     (20 calls)
% 0.19/0.51  ;     0.001   4%   Sortal reasoning             (32 calls)
% 0.19/0.51  ;     0.000   0%   Purity testing               (1 call)
% 0.19/0.51  ;     0.021  75%   Other
% 0.19/0.51  ;     0.028        Total
% 0.19/0.51  ;     0.030        Real time
% 0.19/0.51  ; 
% 0.19/0.51  ; Term-hash-array has 28 terms in all.
% 0.19/0.51  ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.19/0.51  ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.19/0.51  ; Path-index has 26 entries (26 at peak, 32 added, 6 deleted).
% 0.19/0.51  ; Path-index has 46 nodes (46 at peak, 47 added, 1 deleted).
% 0.19/0.51  ; Trie-index has 26 entries (26 at peak, 32 added, 6 deleted).
% 0.19/0.51  ; Trie-index has 91 nodes (91 at peak, 107 added, 16 deleted).
% 0.19/0.51  ; Retrieved 9 generalization terms in 34 calls.
% 0.19/0.51  ; Retrieved 9 instance terms in 8 calls.
% 0.19/0.51  ; Retrieved 21 unifiable terms in 21 calls.
% 0.19/0.51  ; 
% 0.19/0.51  ; The agenda of input rows to give has 3 entries:
% 0.19/0.51  ;     1 with value 9               1 with value 16               1 with value 25
% 0.19/0.51  Evaluation took:
% 0.19/0.51    0.03 seconds of real time
% 0.19/0.51    0.026437 seconds of user run time
% 0.19/0.51    0.003152 seconds of system run time
% 0.19/0.51    0 calls to %EVAL
% 0.19/0.51    0 page faults and
% 0.19/0.51    1,432,672 bytes consed.
% 0.19/0.51  :PROOF-FOUND
% 0.19/0.51  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-01T22:41:37
% 0.19/0.51  :PROOF-FOUND
% 0.19/0.51  * 
%------------------------------------------------------------------------------