TSTP Solution File: ALG371-1 by PyRes---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : ALG371-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n024.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  : 300s
% DateTime : Thu May  9 17:15:16 EDT 2024

% Result   : Unsatisfiable 128.33s 128.52s
% Output   : Refutation 128.33s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   20 (   9 unt;   4 nHn;  14 RR)
%            Number of literals    :   36 (   0 equ;  17 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :   22 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(clsarity_RealDef__Oreal__Orderings_Opreorder,axiom,
    class_Orderings_Opreorder(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Orderings_Opreorder) ).

cnf(cls_conjecture_0,negated_conjecture,
    c_HOL_Oord__class_Oless(v_r,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(cls_less__le__not__le_1,axiom,
    ( ~ class_Orderings_Opreorder(X414)
    | ~ c_lessequals(X415,X416,X414)
    | ~ c_HOL_Oord__class_Oless(X416,X415,X414) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__le__not__le_1) ).

cnf(c643,plain,
    ( ~ class_Orderings_Opreorder(tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_r,tc_RealDef_Oreal) ),
    inference(resolution,[status(thm)],[cls_less__le__not__le_1,cls_conjecture_0]) ).

cnf(clsarity_RealDef__Oreal__Orderings_Olinorder,axiom,
    class_Orderings_Olinorder(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Orderings_Olinorder) ).

cnf(cls_linorder__not__less_1,axiom,
    ( ~ class_Orderings_Olinorder(X440)
    | ~ c_HOL_Oord__class_Oless(X442,X441,X440)
    | ~ c_lessequals(X441,X442,X440) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_linorder__not__less_1) ).

cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__vector,axiom,
    class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__RealVector_Oreal__normed__vector) ).

cnf(cls_norm__ge__zero_0,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X1648)
    | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1649,X1648),tc_RealDef_Oreal) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_norm__ge__zero_0) ).

cnf(c4841,plain,
    c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1650,tc_Complex_Ocomplex),tc_RealDef_Oreal),
    inference(resolution,[status(thm)],[cls_norm__ge__zero_0,clsarity_Complex__Ocomplex__RealVector_Oreal__normed__vector]) ).

cnf(c4860,plain,
    ( ~ class_Orderings_Olinorder(tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X3318,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(resolution,[status(thm)],[c4841,cls_linorder__not__less_1]) ).

cnf(cls_conjecture_1,negated_conjecture,
    c_lessequals(c_RealVector_Onorm__class_Onorm(v_x,tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(cls_not__leE_0,axiom,
    ( ~ class_Orderings_Olinorder(X417)
    | c_HOL_Oord__class_Oless(X419,X418,X417)
    | c_lessequals(X418,X419,X417) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_not__leE_0) ).

cnf(c645,plain,
    ( c_HOL_Oord__class_Oless(X425,X424,tc_RealDef_Oreal)
    | c_lessequals(X424,X425,tc_RealDef_Oreal) ),
    inference(resolution,[status(thm)],[cls_not__leE_0,clsarity_RealDef__Oreal__Orderings_Olinorder]) ).

cnf(cls_real__le__trans_0,axiom,
    ( c_lessequals(X2362,X2361,tc_RealDef_Oreal)
    | ~ c_lessequals(X2363,X2361,tc_RealDef_Oreal)
    | ~ c_lessequals(X2362,X2363,tc_RealDef_Oreal) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_real__le__trans_0) ).

cnf(c8020,plain,
    ( c_lessequals(X5989,X5990,tc_RealDef_Oreal)
    | ~ c_lessequals(X5991,X5990,tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(X5991,X5989,tc_RealDef_Oreal) ),
    inference(resolution,[status(thm)],[cls_real__le__trans_0,c645]) ).

cnf(c25352,plain,
    ( c_lessequals(X8881,v_r,tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(v_x,tc_Complex_Ocomplex),X8881,tc_RealDef_Oreal) ),
    inference(resolution,[status(thm)],[c8020,cls_conjecture_1]) ).

cnf(c104245,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_r,tc_RealDef_Oreal)
    | ~ class_Orderings_Olinorder(tc_RealDef_Oreal) ),
    inference(resolution,[status(thm)],[c25352,c4860]) ).

cnf(c104298,plain,
    c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_r,tc_RealDef_Oreal),
    inference(resolution,[status(thm)],[c104245,clsarity_RealDef__Oreal__Orderings_Olinorder]) ).

cnf(c104466,plain,
    ~ class_Orderings_Opreorder(tc_RealDef_Oreal),
    inference(resolution,[status(thm)],[c104298,c643]) ).

cnf(c104476,plain,
    $false,
    inference(resolution,[status(thm)],[c104466,clsarity_RealDef__Oreal__Orderings_Opreorder]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : ALG371-1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.12  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33  % Computer : n024.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  : 300
% 0.12/0.33  % DateTime : Thu May  9 00:31:08 EDT 2024
% 0.12/0.33  % CPUTime  : 
% 128.33/128.52  % Version:  1.5
% 128.33/128.52  % SZS status Unsatisfiable
% 128.33/128.52  % SZS output start CNFRefutation
% See solution above
% 128.33/128.52  
% 128.33/128.52  % Initial clauses    : 570
% 128.33/128.52  % Processed clauses  : 7786
% 128.33/128.52  % Factors computed   : 232
% 128.33/128.52  % Resolvents computed: 104182
% 128.33/128.52  % Tautologies deleted: 83
% 128.33/128.52  % Forward subsumed   : 3317
% 128.33/128.52  % Backward subsumed  : 82
% 128.33/128.52  % -------- CPU Time ---------
% 128.33/128.52  % User time          : 127.903 s
% 128.33/128.52  % System time        : 0.256 s
% 128.33/128.52  % Total time         : 128.159 s
%------------------------------------------------------------------------------