TSTP Solution File: ROB009-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : ROB009-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n023.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 : Mon Jul 18 20:55:59 EDT 2022

% Result   : Unsatisfiable 0.21s 0.50s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    1
%            Number of leaves      :    3
% Syntax   : Number of clauses     :    4 (   4 unt;   0 nHn;   3 RR)
%            Number of literals    :    4 (   3 equ;   1 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :    2 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(robbins_axiom,axiom,
    negate(add(negate(add(X,Y)),negate(add(X,negate(Y))))) = X,
    file('/export/starexec/sandbox/benchmark/Axioms/ROB001-0.ax',robbins_axiom) ).

cnf(condition,hypothesis,
    negate(add(a,negate(add(b,c)))) = negate(add(b,negate(add(a,c)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',condition) ).

cnf(prove_result,negated_conjecture,
    a != b,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_result) ).

cnf(9,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[robbins_axiom,condition,theory(equality)]),prove_result,robbins_axiom,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : ROB009-1 : TPTP v8.1.0. Released v1.0.0.
% 0.10/0.13  % Command  : run-snark %s %d
% 0.14/0.34  % Computer : n023.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 : Thu Jun  9 14:55:23 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.21/0.46  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.47  * 
% 0.21/0.47  * 
% 0.21/0.48  #<PACKAGE "SNARK-USER">
% 0.21/0.48  * 
% 0.21/0.48  SNARK-TPTP-OPTIONS
% 0.21/0.48  * 
% 0.21/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.48   (USE-FACTORING :POS)
% 0.21/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.48  * 
% 0.21/0.48  "."
% 0.21/0.48  * 
% 0.21/0.48  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-09T14:55:23
% 0.21/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-06-09T14:55:23
% 0.21/0.49  
% 0.21/0.49  ; Recognized commutativity assertion (= (|add| ?X ?Y) (|add| ?Y ?X)).
% 0.21/0.49  ; Recognized associativity assertion (= (|add| (|add| ?X ?Y) ?Z) (|add| ?X (|add| ?Y ?Z))).
% 0.21/0.49  ; Declaring add to be commutative.
% 0.21/0.50  ; Declaring add to be associative-commutative.
% 0.21/0.50  
% 0.21/0.50  #||
% 0.21/0.50  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.50  % SZS output start Refutation
% See solution above
% 0.21/0.51  ||#
% 0.21/0.51  
% 0.21/0.51  ; Summary of computation:
% 0.21/0.51  ;        18 formulas have been input or derived (from 4 formulas).
% 0.21/0.51  ;         9 (50%) were retained.  Of these,
% 0.21/0.51  ;            9 (100%) are still being kept.
% 0.21/0.51  ; 
% 0.21/0.51  ; Run time in seconds excluding printing time:
% 0.21/0.51  ;     0.002   7%   Read assertion file          (1 call)
% 0.21/0.51  ;     0.000   0%   Assert                       (5 calls)
% 0.21/0.51  ;     0.002   7%   Process new row              (15 calls)
% 0.21/0.51  ;     0.001   4%   Resolution                   (6 calls)
% 0.21/0.51  ;     0.001   4%   Paramodulation               (3 calls)
% 0.21/0.51  ;     0.000   0%   Forward simplification       (15 calls)
% 0.21/0.51  ;     0.001   4%   Backward simplification      (9 calls)
% 0.21/0.51  ;     0.000   0%   Ordering                     (24 calls)
% 0.21/0.51  ;     0.000   0%   Ordering ac                  (9 calls)
% 0.21/0.51  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.21/0.51  ;     0.000   0%   Purity testing               (1 call)
% 0.21/0.51  ;     0.020  74%   Other
% 0.21/0.51  ;     0.027        Total
% 0.21/0.51  ;     0.029        Real time
% 0.21/0.51  ; 
% 0.21/0.51  ; Term-hash-array has 50 terms in all.
% 0.21/0.51  ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.21/0.51  ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.21/0.51  ; Path-index has 53 entries (53 at peak, 53 added, 0 deleted).
% 0.21/0.51  ; Path-index has 94 nodes (94 at peak, 94 added, 0 deleted).
% 0.21/0.51  ; Trie-index has 53 entries (53 at peak, 53 added, 0 deleted).
% 0.21/0.51  ; Trie-index has 18 nodes (18 at peak, 18 added, 0 deleted).
% 0.21/0.51  ; Retrieved 114 generalization terms in 41 calls.
% 0.21/0.51  ; Retrieved 10 instance terms in 8 calls.
% 0.21/0.51  ; Retrieved 24 unifiable terms in 25 calls.
% 0.21/0.51  ; 
% 0.21/0.51  ; The agenda of rows to process has 3 entries:
% 0.21/0.51  ;     1 with value 28              1 with value 30               1 with value 33
% 0.21/0.51  ; The agenda of rows to give has 5 entries:
% 0.21/0.51  ;     1 with value (4 26)          1 with value (4 28)           3 with value (4 30)
% 0.21/0.51  Evaluation took:
% 0.21/0.51    0.03 seconds of real time
% 0.21/0.51    0.022724 seconds of user run time
% 0.21/0.51    0.006701 seconds of system run time
% 0.21/0.51    0 calls to %EVAL
% 0.21/0.51    0 page faults and
% 0.21/0.51    1,555,456 bytes consed.
% 0.21/0.51  :PROOF-FOUND
% 0.21/0.51  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-09T14:55:23
% 0.21/0.51  :PROOF-FOUND
% 0.21/0.51  * 
%------------------------------------------------------------------------------