TSTP Solution File: ANA027-2 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : ANA027-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n015.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 19:26:49 EDT 2022

% Result   : Unsatisfiable 0.21s 0.52s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   13
% Syntax   : Number of clauses     :   22 (  13 unt;   0 nHn;  20 RR)
%            Number of literals    :   35 (   2 equ;  15 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   3 con; 0-3 aty)
%            Number of variables   :   20 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_conjecture_1,negated_conjecture,
    c_lessequals(c_0,c_minus(v_f(v_x),v_k(v_x),t_b),t_b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(cls_conjecture_2,negated_conjecture,
    c_lessequals(v_g(v_x),v_k(v_x),t_b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

cnf(cls_conjecture_3,negated_conjecture,
    ~ c_lessequals(c_0,c_minus(v_f(v_x),v_g(v_x),t_b),t_b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).

cnf(tfree_tcs,negated_conjecture,
    class_Ring__and__Field_Oordered__idom(t_b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_tcs) ).

cnf(cls_OrderedGroup_Ocomm__monoid__add__class_Oaxioms_0,axiom,
    ( ~ class_OrderedGroup_Ocomm__monoid__add(X)
    | c_plus(c_0,Y,X) = Y ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Ocomm__monoid__add__class_Oaxioms_0) ).

cnf(cls_OrderedGroup_Ocompare__rls__9_0,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X)
    | ~ c_lessequals(Y,c_minus(Z,U,X),X)
    | c_lessequals(c_plus(Y,U,X),Z,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__9_0) ).

cnf(cls_OrderedGroup_Ocompare__rls__9_1,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X)
    | ~ c_lessequals(c_plus(Y,Z,X),U,X)
    | c_lessequals(Y,c_minus(U,Z,X),X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__9_1) ).

cnf(cls_Orderings_Oorder__class_Oorder__trans_0,axiom,
    ( ~ class_Orderings_Oorder(X)
    | ~ c_lessequals(Y,Z,X)
    | ~ c_lessequals(U,Y,X)
    | c_lessequals(U,Z,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Orderings_Oorder__class_Oorder__trans_0) ).

cnf(clsrel_LOrder_Ojoin__semilorder_1,axiom,
    ( ~ class_LOrder_Ojoin__semilorder(X)
    | class_Orderings_Oorder(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_LOrder_Ojoin__semilorder_1) ).

cnf(clsrel_OrderedGroup_Olordered__ab__group__abs_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__abs(X)
    | class_OrderedGroup_Opordered__ab__group__add(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_1) ).

cnf(clsrel_OrderedGroup_Olordered__ab__group__abs_15,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__abs(X)
    | class_LOrder_Ojoin__semilorder(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_15) ).

cnf(clsrel_Ring__and__Field_Oordered__idom_23,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X)
    | class_OrderedGroup_Ocomm__monoid__add(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_23) ).

cnf(clsrel_Ring__and__Field_Oordered__idom_50,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X)
    | class_OrderedGroup_Olordered__ab__group__abs(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_50) ).

cnf(14,plain,
    class_OrderedGroup_Ocomm__monoid__add(t_b),
    inference('HYPERRESOLVE',[status(thm)],[clsrel_Ring__and__Field_Oordered__idom_23,tfree_tcs]) ).

cnf(15,plain,
    class_OrderedGroup_Olordered__ab__group__abs(t_b),
    inference('HYPERRESOLVE',[status(thm)],[clsrel_Ring__and__Field_Oordered__idom_50,tfree_tcs]) ).

cnf(16,plain,
    c_plus(c_0,X,t_b) = X,
    inference('HYPERRESOLVE',[status(thm)],[cls_OrderedGroup_Ocomm__monoid__add__class_Oaxioms_0,14]) ).

cnf(17,plain,
    class_LOrder_Ojoin__semilorder(t_b),
    inference('HYPERRESOLVE',[status(thm)],[clsrel_OrderedGroup_Olordered__ab__group__abs_15,15]) ).

cnf(18,plain,
    class_OrderedGroup_Opordered__ab__group__add(t_b),
    inference('HYPERRESOLVE',[status(thm)],[clsrel_OrderedGroup_Olordered__ab__group__abs_1,15]) ).

cnf(19,plain,
    class_Orderings_Oorder(t_b),
    inference('HYPERRESOLVE',[status(thm)],[clsrel_LOrder_Ojoin__semilorder_1,17]) ).

cnf(20,plain,
    c_lessequals(v_k(v_x),v_f(v_x),t_b),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[cls_OrderedGroup_Ocompare__rls__9_0,18,cls_conjecture_1]),16,theory(equality)]) ).

cnf(21,plain,
    ~ c_lessequals(v_g(v_x),v_f(v_x),t_b),
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[cls_OrderedGroup_Ocompare__rls__9_1,18,cls_conjecture_3]),16,theory(equality)]) ).

cnf(24,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[cls_Orderings_Oorder__class_Oorder__trans_0,20,19,cls_conjecture_2]),21]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : ANA027-2 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.13  % Command  : run-snark %s %d
% 0.15/0.35  % Computer : n015.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 600
% 0.15/0.35  % DateTime : Fri Jul  8 07:03:35 EDT 2022
% 0.15/0.35  % CPUTime  : 
% 0.21/0.47  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.48  * 
% 0.21/0.48  * 
% 0.21/0.49  #<PACKAGE "SNARK-USER">
% 0.21/0.49  * 
% 0.21/0.49  SNARK-TPTP-OPTIONS
% 0.21/0.49  * 
% 0.21/0.49  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.49   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.49   (USE-FACTORING :POS)
% 0.21/0.49   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.49   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.49   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.49   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.49   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.49   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.49   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.49   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.49   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.49   (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.49  * 
% 0.21/0.49  "."
% 0.21/0.49  * 
% 0.21/0.49  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-08T07:03:36
% 0.21/0.49  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n015.cluster.edu at 2022-07-08T07:03:36
% 0.21/0.52  
% 0.21/0.52  
% 0.21/0.52  #||
% 0.21/0.52  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.52  % SZS output start Refutation
% See solution above
% 0.21/0.52  ||#
% 0.21/0.52  
% 0.21/0.52  ; Summary of computation:
% 0.21/0.52  ;        33 formulas have been input or derived (from 21 formulas).
% 0.21/0.52  ;        24 (73%) were retained.  Of these,
% 0.21/0.52  ;           24 (100%) are still being kept.
% 0.21/0.52  ; 
% 0.21/0.52  ; Run time in seconds excluding printing time:
% 0.21/0.52  ;     0.003  10%   Read assertion file          (1 call)
% 0.21/0.52  ;     0.000   0%   Assert                       (13 calls)
% 0.21/0.52  ;     0.001   3%   Process new row              (28 calls)
% 0.21/0.52  ;     0.001   3%   Resolution                   (40 calls)
% 0.21/0.52  ;     0.000   0%   Paramodulation               (20 calls)
% 0.21/0.52  ;     0.000   0%   Condensing                   (10 calls)
% 0.21/0.52  ;     0.000   0%   Forward subsumption          (10 calls)
% 0.21/0.52  ;     0.001   3%   Backward subsumption         (10 calls)
% 0.21/0.52  ;     0.001   3%   Forward simplification       (28 calls)
% 0.21/0.52  ;     0.000   0%   Backward simplification      (24 calls)
% 0.21/0.52  ;     0.000   0%   Ordering                     (7 calls)
% 0.21/0.52  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.21/0.52  ;     0.000   0%   Purity testing               (1 call)
% 0.21/0.52  ;     0.023  77%   Other
% 0.21/0.52  ;     0.030        Total
% 0.21/0.52  ;     0.033        Real time
% 0.21/0.52  ; 
% 0.21/0.52  ; Term-hash-array has 41 terms in all.
% 0.21/0.52  ; Feature-vector-row-index has 10 entries (10 at peak, 10 added, 0 deleted).
% 0.21/0.52  ; Feature-vector-row-index has 33 nodes (33 at peak, 33 added, 0 deleted).
% 0.21/0.52  ;  Retrieved 0 possibly forward subsuming rows in 10 calls.
% 0.21/0.52  ;  Retrieved 0 possibly backward subsumed rows in 10 calls.
% 0.21/0.52  ; Path-index has 44 entries (44 at peak, 44 added, 0 deleted).
% 0.21/0.52  ; Path-index has 108 nodes (108 at peak, 108 added, 0 deleted).
% 0.21/0.52  ; Trie-index has 44 entries (44 at peak, 44 added, 0 deleted).
% 0.21/0.52  ; Trie-index has 115 nodes (115 at peak, 115 added, 0 deleted).
% 0.21/0.52  ; Retrieved 8 generalization terms in 26 calls.
% 0.21/0.52  ; Retrieved 13 instance terms in 13 calls.
% 0.21/0.52  ; Retrieved 215 unifiable terms in 133 calls.
% 0.21/0.52  ; 
% 0.21/0.52  ; The agenda of rows to give has 3 entries:
% 0.21/0.52  ;     1 with value (4 11)          1 with value (4 17)           1 with value (4 21)
% 0.21/0.52  Evaluation took:
% 0.21/0.52    0.034 seconds of real time
% 0.21/0.52    0.028838 seconds of user run time
% 0.21/0.52    0.004202 seconds of system run time
% 0.21/0.52    0 calls to %EVAL
% 0.21/0.52    0 page faults and
% 0.21/0.52    2,689,776 bytes consed.
% 0.21/0.52  :PROOF-FOUND
% 0.21/0.52  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-08T07:03:36
% 0.21/0.52  :PROOF-FOUND
% 0.21/0.52  * 
%------------------------------------------------------------------------------