TSTP Solution File: ANA022-2 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : ANA022-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n003.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 19:26:45 EDT 2022

% Result   : Unsatisfiable 3.91s 4.11s
% Output   : Refutation 3.91s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   24
% Syntax   : Number of clauses     :   63 (  37 unt;   6 nHn;  35 RR)
%            Number of literals    :   98 (  26 equ;  38 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   12 (  10 usr;   1 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;   3 con; 0-3 aty)
%            Number of variables   :   78 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_conjecture_1,negated_conjecture,
    c_lessequals(v_k(X),v_f(X),t_b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(cls_conjecture_2,negated_conjecture,
    ~ c_lessequals(c_Orderings_Omax(c_minus(v_k(v_x),v_g(v_x),t_b),c_0,t_b),c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

cnf(tfree_tcs,negated_conjecture,
    class_Ring__and__Field_Oordered__idom(t_b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_tcs) ).

cnf(cls_OrderedGroup_Oabs__ge__zero_0,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__abs(X)
    | c_lessequals(c_0,c_HOL_Oabs(Y,X),X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__ge__zero_0) ).

cnf(cls_OrderedGroup_Oabs__minus__cancel_0,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__abs(X)
    | c_HOL_Oabs(c_uminus(Y,X),X) = c_HOL_Oabs(Y,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__minus__cancel_0) ).

cnf(cls_OrderedGroup_Oabs__of__nonpos_0,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__abs(X)
    | ~ c_lessequals(Y,c_0,X)
    | c_HOL_Oabs(Y,X) = c_uminus(Y,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__of__nonpos_0) ).

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/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Ocomm__monoid__add__class_Oaxioms_0) ).

cnf(cls_OrderedGroup_Ocompare__rls__2_0,axiom,
    ( ~ class_OrderedGroup_Oab__group__add(X)
    | c_plus(Y,c_minus(Z,U,X),X) = c_minus(c_plus(Y,Z,X),U,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__2_0) ).

cnf(cls_OrderedGroup_Ocompare__rls__8_1,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X)
    | ~ c_lessequals(Y,c_plus(Z,U,X),X)
    | c_lessequals(c_minus(Y,U,X),Z,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__8_1) ).

cnf(cls_OrderedGroup_Odiff__le__0__iff__le_1,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X)
    | ~ c_lessequals(Y,Z,X)
    | c_lessequals(c_minus(Y,Z,X),c_0,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Odiff__le__0__iff__le_1) ).

cnf(cls_OrderedGroup_Odiff__minus__eq__add_0,axiom,
    ( ~ class_OrderedGroup_Oab__group__add(X)
    | c_minus(Y,c_uminus(Z,X),X) = c_plus(Y,Z,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Odiff__minus__eq__add_0) ).

cnf(cls_OrderedGroup_Odiff__self_0,axiom,
    ( ~ class_OrderedGroup_Oab__group__add(X)
    | c_minus(Y,Y,X) = c_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Odiff__self_0) ).

cnf(cls_OrderedGroup_Ominus__diff__eq_0,axiom,
    ( ~ class_OrderedGroup_Oab__group__add(X)
    | c_uminus(c_minus(Y,Z,X),X) = c_minus(Z,Y,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Ominus__diff__eq_0) ).

cnf(cls_Orderings_Olinorder__not__le_0,axiom,
    ( ~ class_Orderings_Olinorder(X)
    | c_less(Y,Z,X)
    | c_lessequals(Z,Y,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Olinorder__not__le_0) ).

cnf(cls_Orderings_Omin__max_Obelow__sup_Oabove__sup__conv_2,axiom,
    ( ~ class_Orderings_Olinorder(X)
    | ~ c_lessequals(Y,Z,X)
    | ~ c_lessequals(U,Z,X)
    | c_lessequals(c_Orderings_Omax(U,Y,X),Z,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Omin__max_Obelow__sup_Oabove__sup__conv_2) ).

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/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Oorder__class_Oorder__trans_0) ).

cnf(cls_Orderings_Oorder__less__imp__le_0,axiom,
    ( ~ class_Orderings_Oorder(X)
    | ~ c_less(Y,Z,X)
    | c_lessequals(Y,Z,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Oorder__less__imp__le_0) ).

cnf(clsrel_LOrder_Ojoin__semilorder_1,axiom,
    ( ~ class_LOrder_Ojoin__semilorder(X)
    | class_Orderings_Oorder(X) ),
    file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_1) ).

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/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_23) ).

cnf(clsrel_Ring__and__Field_Oordered__idom_33,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X)
    | class_Orderings_Olinorder(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_33) ).

cnf(clsrel_Ring__and__Field_Oordered__idom_35,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X)
    | class_LOrder_Ojoin__semilorder(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_35) ).

cnf(clsrel_Ring__and__Field_Oordered__idom_4,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X)
    | class_OrderedGroup_Oab__group__add(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_4) ).

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/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_50) ).

cnf(28,plain,
    class_OrderedGroup_Ocomm__monoid__add(t_b),
    inference('HYPERRESOLVE',[status(thm)],[clsrel_Ring__and__Field_Oordered__idom_23,tfree_tcs]) ).

cnf(29,plain,
    class_Orderings_Olinorder(t_b),
    inference('HYPERRESOLVE',[status(thm)],[clsrel_Ring__and__Field_Oordered__idom_33,tfree_tcs]) ).

cnf(30,plain,
    class_LOrder_Ojoin__semilorder(t_b),
    inference('HYPERRESOLVE',[status(thm)],[clsrel_Ring__and__Field_Oordered__idom_35,tfree_tcs]) ).

cnf(31,plain,
    class_OrderedGroup_Oab__group__add(t_b),
    inference('HYPERRESOLVE',[status(thm)],[clsrel_Ring__and__Field_Oordered__idom_4,tfree_tcs]) ).

cnf(32,plain,
    class_OrderedGroup_Olordered__ab__group__abs(t_b),
    inference('HYPERRESOLVE',[status(thm)],[clsrel_Ring__and__Field_Oordered__idom_50,tfree_tcs]) ).

cnf(33,plain,
    c_plus(c_0,X,t_b) = X,
    inference('HYPERRESOLVE',[status(thm)],[cls_OrderedGroup_Ocomm__monoid__add__class_Oaxioms_0,28]) ).

cnf(34,plain,
    ( c_less(X,Y,t_b)
    | c_lessequals(Y,X,t_b) ),
    inference('HYPERRESOLVE',[status(thm)],[cls_Orderings_Olinorder__not__le_0,29]) ).

cnf(37,plain,
    class_Orderings_Oorder(t_b),
    inference('HYPERRESOLVE',[status(thm)],[clsrel_LOrder_Ojoin__semilorder_1,30]) ).

cnf(38,plain,
    c_minus(X,X,t_b) = c_0,
    inference('HYPERRESOLVE',[status(thm)],[cls_OrderedGroup_Odiff__self_0,31]) ).

cnf(39,plain,
    c_uminus(c_minus(X,Y,t_b),t_b) = c_minus(Y,X,t_b),
    inference('HYPERRESOLVE',[status(thm)],[cls_OrderedGroup_Ominus__diff__eq_0,31]) ).

cnf(40,plain,
    c_minus(X,c_uminus(Y,t_b),t_b) = c_plus(X,Y,t_b),
    inference('HYPERRESOLVE',[status(thm)],[cls_OrderedGroup_Odiff__minus__eq__add_0,31]) ).

cnf(41,plain,
    c_minus(c_0,c_uminus(X,t_b),t_b) = X,
    inference('REWRITE',[status(thm)],[33,40,theory(equality)]) ).

cnf(43,plain,
    c_minus(X,c_minus(Y,Z,t_b),t_b) = c_minus(c_minus(X,c_uminus(Z,t_b),t_b),Y,t_b),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[cls_OrderedGroup_Ocompare__rls__2_0,31]),39,40,theory(equality)]) ).

cnf(45,plain,
    class_OrderedGroup_Opordered__ab__group__add(t_b),
    inference('HYPERRESOLVE',[status(thm)],[clsrel_OrderedGroup_Olordered__ab__group__abs_1,32]) ).

cnf(46,plain,
    c_lessequals(c_0,c_HOL_Oabs(X,t_b),t_b),
    inference('HYPERRESOLVE',[status(thm)],[cls_OrderedGroup_Oabs__ge__zero_0,32]) ).

cnf(47,plain,
    c_HOL_Oabs(c_uminus(X,t_b),t_b) = c_HOL_Oabs(X,t_b),
    inference('HYPERRESOLVE',[status(thm)],[cls_OrderedGroup_Oabs__minus__cancel_0,32]) ).

cnf(53,plain,
    ~ c_lessequals(c_Orderings_Omax(c_minus(v_k(v_x),v_g(v_x),t_b),c_0,t_b),c_0,t_b),
    inference('UR-RESOLVE',[status(thm)],[cls_Orderings_Oorder__class_Oorder__trans_0,46,37,cls_conjecture_2]) ).

cnf(54,plain,
    ~ c_lessequals(c_minus(v_k(v_x),v_g(v_x),t_b),c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b),
    inference('UR-RESOLVE',[status(thm)],[cls_Orderings_Omin__max_Obelow__sup_Oabove__sup__conv_2,46,29,cls_conjecture_2]) ).

cnf(57,plain,
    ( c_less(c_0,X,t_b)
    | c_HOL_Oabs(X,t_b) = c_uminus(X,t_b) ),
    inference('HYPERRESOLVE',[status(thm)],[cls_OrderedGroup_Oabs__of__nonpos_0,34,32]) ).

cnf(59,plain,
    ( c_less(X,Y,t_b)
    | c_lessequals(c_minus(Y,X,t_b),c_0,t_b) ),
    inference('HYPERRESOLVE',[status(thm)],[cls_OrderedGroup_Odiff__le__0__iff__le_1,34,45]) ).

cnf(104,plain,
    c_uminus(c_0,t_b) = c_0,
    inference('PARAMODULATE',[status(thm)],[39,38,theory(equality)]) ).

cnf(105,plain,
    c_uminus(X,t_b) = c_minus(c_uminus(X,t_b),c_0,t_b),
    inference('PARAMODULATE',[status(thm)],[39,41,theory(equality)]) ).

cnf(107,plain,
    c_HOL_Oabs(c_minus(X,Y,t_b),t_b) = c_HOL_Oabs(c_minus(Y,X,t_b),t_b),
    inference('PARAMODULATE',[status(thm)],[47,39,theory(equality)]) ).

cnf(143,plain,
    c_uminus(c_uminus(X,t_b),t_b) = X,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[39,105,theory(equality)]),41,theory(equality)]) ).

cnf(147,plain,
    c_minus(c_0,X,t_b) = c_uminus(X,t_b),
    inference('PARAMODULATE',[status(thm)],[41,143,theory(equality)]) ).

cnf(164,plain,
    ( c_HOL_Oabs(X,t_b) = c_uminus(X,t_b)
    | c_lessequals(c_0,X,t_b) ),
    inference('HYPERRESOLVE',[status(thm)],[cls_Orderings_Oorder__less__imp__le_0,57,37]) ).

cnf(203,plain,
    ( c_less(X,Y,t_b)
    | c_HOL_Oabs(c_minus(Y,X,t_b),t_b) = c_minus(X,Y,t_b) ),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[cls_OrderedGroup_Oabs__of__nonpos_0,59,32]),39,theory(equality)]) ).

cnf(348,plain,
    c_HOL_Oabs(c_0,t_b) = c_0,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[cls_OrderedGroup_Oabs__of__nonpos_0,164,32]),104,theory(equality)]) ).

cnf(376,plain,
    c_lessequals(c_0,c_0,t_b),
    inference('PARAMODULATE',[status(thm)],[46,348,theory(equality)]) ).

cnf(412,plain,
    ~ c_lessequals(c_minus(v_k(v_x),v_g(v_x),t_b),c_0,t_b),
    inference('UR-RESOLVE',[status(thm)],[cls_Orderings_Omin__max_Obelow__sup_Oabove__sup__conv_2,53,29,376]) ).

cnf(529,plain,
    ~ c_lessequals(v_k(v_x),v_g(v_x),t_b),
    inference('UR-RESOLVE',[status(thm)],[cls_OrderedGroup_Odiff__le__0__iff__le_1,412,45]) ).

cnf(541,plain,
    ~ c_lessequals(v_f(v_x),v_g(v_x),t_b),
    inference('UR-RESOLVE',[status(thm)],[cls_Orderings_Oorder__class_Oorder__trans_0,529,37,cls_conjecture_1]) ).

cnf(567,plain,
    ~ c_less(v_f(v_x),v_g(v_x),t_b),
    inference('UR-RESOLVE',[status(thm)],[cls_Orderings_Oorder__less__imp__le_0,541,37]) ).

cnf(3800,plain,
    c_minus(c_uminus(X,t_b),c_minus(Y,X,t_b),t_b) = c_uminus(Y,t_b),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[43,38,theory(equality)]),147,theory(equality)]) ).

cnf(3817,plain,
    X = c_minus(c_minus(X,Y,t_b),c_uminus(Y,t_b),t_b),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[39,3800,theory(equality)]),143,theory(equality)]) ).

cnf(3930,plain,
    ~ c_lessequals(c_minus(v_k(v_x),v_g(v_x),t_b),c_HOL_Oabs(c_minus(v_g(v_x),v_f(v_x),t_b),t_b),t_b),
    inference('PARAMODULATE',[status(thm)],[54,107,theory(equality)]) ).

cnf(5485,plain,
    c_HOL_Oabs(c_minus(v_g(v_x),v_f(v_x),t_b),t_b) = c_minus(v_f(v_x),v_g(v_x),t_b),
    inference('HYPERRESOLVE',[status(thm)],[567,203]) ).

cnf(5487,plain,
    ~ c_lessequals(c_minus(v_k(v_x),v_g(v_x),t_b),c_minus(v_f(v_x),v_g(v_x),t_b),t_b),
    inference('REWRITE',[status(thm)],[3930,5485,theory(equality)]) ).

cnf(5490,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[cls_OrderedGroup_Ocompare__rls__8_1,5487,45]),cls_conjecture_1,3817,40,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : ANA022-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n003.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 : Fri Jul  8 06:06:12 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.45  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.46  * 
% 0.20/0.46  * 
% 0.20/0.47  #<PACKAGE "SNARK-USER">
% 0.20/0.47  * 
% 0.20/0.47  SNARK-TPTP-OPTIONS
% 0.20/0.47  * 
% 0.20/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47   (USE-FACTORING :POS)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47  * 
% 0.20/0.47  "."
% 0.20/0.47  * 
% 0.20/0.47  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-08T06:06:13
% 0.20/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n003.cluster.edu at 2022-07-08T06:06:13
% 3.91/4.11  
% 3.91/4.11  
% 3.91/4.11  #||
% 3.91/4.11  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.91/4.11  % SZS output start Refutation
% See solution above
% 3.91/4.11  ||#
% 3.91/4.11  
% 3.91/4.11  ; Summary of computation:
% 3.91/4.11  ;     10052 formulas have been input or derived (from 172 formulas).
% 3.91/4.11  ;      5490 (55%) were retained.  Of these,
% 3.91/4.11  ;          112 ( 2%) were simplified or subsumed later,
% 3.91/4.11  ;         5378 (98%) are still being kept.
% 3.91/4.11  ; 
% 3.91/4.11  ; Run time in seconds excluding printing time:
% 3.91/4.11  ;     0.005   0%   Read assertion file          (1 call)
% 3.91/4.11  ;     0.001   0%   Assert                       (27 calls)
% 3.91/4.11  ;     0.478  13%   Process new row              (9,876 calls)
% 3.91/4.11  ;     0.278   8%   Resolution                   (342 calls)
% 3.91/4.11  ;     0.009   0%   Paramodulation               (171 calls)
% 3.91/4.11  ;     0.000   0%   Factoring                    (67 calls)
% 3.91/4.11  ;     0.066   2%   Condensing                   (7,072 calls)
% 3.91/4.11  ;     1.505  41%   Forward subsumption          (7,072 calls)
% 3.91/4.11  ;     0.387  11%   Backward subsumption         (4,949 calls)
% 3.91/4.11  ;     0.529  15%   Clause clause subsumption    (260,276 calls)
% 3.91/4.11  ;     0.264   7%   Forward simplification       (9,872 calls)
% 3.91/4.11  ;     0.022   1%   Backward simplification      (5,490 calls)
% 3.91/4.11  ;     0.035   1%   Ordering                     (27,367 calls)
% 3.91/4.11  ;     0.000   0%   Sortal reasoning             (32 calls)
% 3.91/4.11  ;     0.001   0%   Purity testing               (1 call)
% 3.91/4.11  ;     0.056   2%   Other
% 3.91/4.11  ;     3.636        Total
% 3.91/4.11  ;     3.639        Real time
% 3.91/4.11  ; 
% 3.91/4.11  ; Term-hash-array has 5,700 terms in all.
% 3.91/4.11  ; Feature-vector-row-index has 4,854 entries (4,854 at peak, 4,949 added, 95 deleted).
% 3.91/4.11  ; Feature-vector-row-index has 13,644 nodes (13,651 at peak, 14,012 added, 368 deleted).
% 3.91/4.11  ;  Retrieved 270,229 possibly forward subsuming rows in 7,072 calls.
% 3.91/4.11  ;  Retrieved 37,100 possibly backward subsumed rows in 4,949 calls.
% 3.91/4.11  ; Path-index has 5,621 entries (5,621 at peak, 5,730 added, 109 deleted).
% 3.91/4.11  ; Path-index has 2,366 nodes (2,368 at peak, 2,419 added, 53 deleted).
% 3.91/4.11  ; Trie-index has 5,621 entries (5,621 at peak, 5,730 added, 109 deleted).
% 3.91/4.11  ; Trie-index has 18,285 nodes (18,285 at peak, 18,638 added, 353 deleted).
% 3.91/4.11  ; Retrieved 8,361 generalization terms in 45,230 calls.
% 3.91/4.11  ; Retrieved 605 instance terms in 560 calls.
% 3.91/4.11  ; Retrieved 239,231 unifiable terms in 3,953 calls.
% 3.91/4.11  ; 
% 3.91/4.11  ; The agenda of rows to process has 5 entries:
% 3.91/4.11  ;     1 with value 25              2 with value 29               2 with value 31
% 3.91/4.11  ; The agenda of rows to give has 5212 entries:
% 3.91/4.11  ;     2 with value (4 22)        366 with value (4 33)          47 with value (4 44)
% 3.91/4.11  ;    33 with value (4 23)        319 with value (4 34)          14 with value (4 45)
% 3.91/4.11  ;    55 with value (4 24)        546 with value (4 35)          29 with value (4 46)
% 3.91/4.11  ;   107 with value (4 25)        446 with value (4 36)          14 with value (4 47)
% 3.91/4.11  ;   114 with value (4 26)        468 with value (4 37)           5 with value (4 48)
% 3.91/4.11  ;   136 with value (4 27)        412 with value (4 38)           5 with value (4 49)
% 3.91/4.11  ;   172 with value (4 28)        250 with value (4 39)           2 with value (4 51)
% 3.91/4.11  ;   165 with value (4 29)        221 with value (4 40)           3 with value (4 52)
% 3.91/4.11  ;   281 with value (4 30)        167 with value (4 41)           4 with value (4 53)
% 3.91/4.11  ;   300 with value (4 31)         83 with value (4 42)           2 with value (4 54)
% 3.91/4.11  ;   369 with value (4 32)         73 with value (4 43)           2 with value (4 60)
% 3.91/4.11  Evaluation took:
% 3.91/4.11    3.641 seconds of real time
% 3.91/4.11    3.227201 seconds of user run time
% 3.91/4.11    0.414022 seconds of system run time
% 3.91/4.11    [Run times include 0.334 seconds GC run time.]
% 3.91/4.11    0 calls to %EVAL
% 3.91/4.11    0 page faults and
% 3.91/4.11    395,711,592 bytes consed.
% 3.91/4.11  :PROOF-FOUND
% 3.91/4.11  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-08T06:06:16
% 3.91/4.11  :PROOF-FOUND
% 3.91/4.11  * 
%------------------------------------------------------------------------------