TSTP Solution File: LAT281-2 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : LAT281-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n008.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 : Sun Jul 17 06:43:19 EDT 2022

% Result   : Unsatisfiable 0.18s 0.48s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    7
% Syntax   : Number of clauses     :    9 (   7 unt;   0 nHn;   9 RR)
%            Number of literals    :   13 (   1 equ;   5 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;   8 con; 0-4 aty)
%            Number of variables   :    7 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
    c_in(c_Pair(v_a,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(cls_conjecture_1,negated_conjecture,
    c_in(c_Pair(v_b,v_c,t_a,t_a),v_r,tc_prod(t_a,t_a)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(cls_conjecture_2,negated_conjecture,
    ~ c_in(c_Pair(v_a,v_c,t_a,t_a),v_r,tc_prod(t_a,t_a)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

cnf(cls_Relation_Otrans__def_0,axiom,
    ( ~ c_Relation_Otrans(X,Y)
    | ~ c_in(c_Pair(Z,U,Y,Y),X,tc_prod(Y,Y))
    | ~ c_in(c_Pair(V,Z,Y,Y),X,tc_prod(Y,Y))
    | c_in(c_Pair(V,U,Y,Y),X,tc_prod(Y,Y)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Relation_Otrans__def_0) ).

cnf(cls_Tarski_OPartialOrder__iff_2,axiom,
    ( ~ c_in(X,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(Y,tc_Product__Type_Ounit))
    | c_Relation_Otrans(c_Tarski_Opotype_Oorder(X,Y,tc_Product__Type_Ounit),Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_OPartialOrder__iff_2) ).

cnf(cls_Tarski_Ocl_A_58_APartialOrder_0,axiom,
    c_in(v_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_Ocl_A_58_APartialOrder_0) ).

cnf(cls_Tarski_Or_A_61_61_Aorder_Acl_0,axiom,
    v_r = c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_Or_A_61_61_Aorder_Acl_0) ).

cnf(8,plain,
    c_Relation_Otrans(v_r,t_a),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[cls_Tarski_OPartialOrder__iff_2,cls_Tarski_Ocl_A_58_APartialOrder_0]),cls_Tarski_Or_A_61_61_Aorder_Acl_0,theory(equality)]) ).

cnf(9,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[cls_Relation_Otrans__def_0,cls_conjecture_1,cls_conjecture_0,cls_conjecture_2]),8]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : LAT281-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n008.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Wed Jun 29 06:44:38 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45  * 
% 0.18/0.45  * 
% 0.18/0.46  #<PACKAGE "SNARK-USER">
% 0.18/0.46  * 
% 0.18/0.46  SNARK-TPTP-OPTIONS
% 0.18/0.46  * 
% 0.18/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46   (USE-FACTORING :POS)
% 0.18/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46  * 
% 0.18/0.46  "."
% 0.18/0.46  * 
% 0.18/0.46  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-29T06:44:38
% 0.18/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n008.cluster.edu at 2022-06-29T06:44:38
% 0.18/0.48  
% 0.18/0.48  
% 0.18/0.48  #||
% 0.18/0.48  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.48  % SZS output start Refutation
% See solution above
% 0.18/0.49  ||#
% 0.18/0.49  
% 0.18/0.49  ; Summary of computation:
% 0.18/0.49  ;        11 formulas have been input or derived (from 8 formulas).
% 0.18/0.49  ;         9 (82%) were retained.  Of these,
% 0.18/0.49  ;            9 (100%) are still being kept.
% 0.18/0.49  ; 
% 0.18/0.49  ; Run time in seconds excluding printing time:
% 0.18/0.49  ;     0.002   8%   Read assertion file          (1 call)
% 0.18/0.49  ;     0.000   0%   Assert                       (7 calls)
% 0.18/0.49  ;     0.001   4%   Process new row              (10 calls)
% 0.18/0.49  ;     0.000   0%   Resolution                   (14 calls)
% 0.18/0.49  ;     0.001   4%   Paramodulation               (7 calls)
% 0.18/0.49  ;     0.000   0%   Condensing                   (2 calls)
% 0.18/0.49  ;     0.000   0%   Forward subsumption          (2 calls)
% 0.18/0.49  ;     0.000   0%   Backward subsumption         (2 calls)
% 0.18/0.49  ;     0.001   4%   Forward simplification       (10 calls)
% 0.18/0.49  ;     0.000   0%   Backward simplification      (9 calls)
% 0.18/0.49  ;     0.000   0%   Ordering                     (5 calls)
% 0.18/0.49  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.18/0.49  ;     0.000   0%   Purity testing               (1 call)
% 0.18/0.49  ;     0.021  81%   Other
% 0.18/0.49  ;     0.026        Total
% 0.18/0.49  ;     0.028        Real time
% 0.18/0.49  ; 
% 0.18/0.49  ; Term-hash-array has 24 terms in all.
% 0.18/0.49  ; Feature-vector-row-index has 2 entries (2 at peak, 2 added, 0 deleted).
% 0.18/0.49  ; Feature-vector-row-index has 19 nodes (19 at peak, 19 added, 0 deleted).
% 0.18/0.49  ;  Retrieved 0 possibly forward subsuming rows in 2 calls.
% 0.18/0.49  ;  Retrieved 0 possibly backward subsumed rows in 2 calls.
% 0.18/0.49  ; Path-index has 32 entries (32 at peak, 32 added, 0 deleted).
% 0.18/0.49  ; Path-index has 106 nodes (106 at peak, 106 added, 0 deleted).
% 0.18/0.49  ; Trie-index has 32 entries (32 at peak, 32 added, 0 deleted).
% 0.18/0.49  ; Trie-index has 101 nodes (101 at peak, 101 added, 0 deleted).
% 0.18/0.49  ; Retrieved 2 generalization terms in 9 calls.
% 0.18/0.49  ; Retrieved 6 instance terms in 6 calls.
% 0.18/0.49  ; Retrieved 37 unifiable terms in 58 calls.
% 0.18/0.49  ; 
% 0.18/0.49  ; The agenda of rows to give has 1 entry:
% 0.18/0.49  ;     1 with value (4 5)
% 0.18/0.49  Evaluation took:
% 0.18/0.49    0.028 seconds of real time
% 0.18/0.49    0.021052 seconds of user run time
% 0.18/0.49    0.006952 seconds of system run time
% 0.18/0.49    0 calls to %EVAL
% 0.18/0.49    0 page faults and
% 0.18/0.49    1,928,120 bytes consed.
% 0.18/0.49  :PROOF-FOUND
% 0.18/0.49  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-29T06:44:38
% 0.18/0.49  :PROOF-FOUND
% 0.18/0.49  * 
%------------------------------------------------------------------------------