TSTP Solution File: GRP644+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : GRP644+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n010.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 : Sat Jul 16 08:39:50 EDT 2022

% Result   : Theorem 8.19s 2.52s
% Output   : CNFRefutation 8.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   13
% Syntax   : Number of clauses     :   32 (  22 unt;   8 nHn;  32 RR)
%            Number of literals    :   93 (   0 equ;  57 neg)
%            Maximal clause size   :    9 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   10 (   9 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-2 aty)
%            Number of variables   :   24 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_32,plain,
    ( v3_struct_0(X1)
    | m1_subset_1(k3_group_1(X1,X2),u1_struct_0(X1))
    | ~ v3_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ l1_group_1(X1)
    | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-o1i2cte2/input.p',i_0_32) ).

cnf(i_0_3,negated_conjecture,
    m1_subset_1(esk3_0,u1_struct_0(esk1_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-o1i2cte2/input.p',i_0_3) ).

cnf(i_0_6,negated_conjecture,
    l1_group_1(esk1_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-o1i2cte2/input.p',i_0_6) ).

cnf(i_0_7,negated_conjecture,
    v4_group_1(esk1_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-o1i2cte2/input.p',i_0_7) ).

cnf(i_0_8,negated_conjecture,
    v3_group_1(esk1_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-o1i2cte2/input.p',i_0_8) ).

cnf(i_0_9,negated_conjecture,
    ~ v3_struct_0(esk1_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-o1i2cte2/input.p',i_0_9) ).

cnf(i_0_86,plain,
    ( v3_struct_0(X1)
    | r1_rlvect_1(X2,k3_group_1(X1,X3))
    | ~ v3_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ l1_group_1(X1)
    | ~ m1_group_2(X2,X1)
    | ~ r1_rlvect_1(X2,X3)
    | ~ m1_subset_1(X3,u1_struct_0(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-o1i2cte2/input.p',i_0_86) ).

cnf(i_0_79,plain,
    ( v3_struct_0(X1)
    | r1_rlvect_1(X2,X3)
    | ~ v3_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ l1_group_1(X1)
    | ~ v1_group_1(X2)
    | ~ m1_group_2(X2,X1)
    | ~ m1_subset_1(X3,u1_struct_0(X1))
    | ~ r2_hidden(X3,k1_funct_1(k1_latsubgr(X1),X2)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-o1i2cte2/input.p',i_0_79) ).

cnf(i_0_2,negated_conjecture,
    r2_hidden(esk3_0,k1_funct_1(k1_latsubgr(esk1_0),esk2_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-o1i2cte2/input.p',i_0_2) ).

cnf(i_0_4,negated_conjecture,
    m1_group_2(esk2_0,esk1_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-o1i2cte2/input.p',i_0_4) ).

cnf(i_0_5,negated_conjecture,
    v1_group_1(esk2_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-o1i2cte2/input.p',i_0_5) ).

cnf(i_0_78,plain,
    ( v3_struct_0(X1)
    | r2_hidden(X2,k1_funct_1(k1_latsubgr(X1),X3))
    | ~ v3_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ l1_group_1(X1)
    | ~ v1_group_1(X3)
    | ~ m1_group_2(X3,X1)
    | ~ r1_rlvect_1(X3,X2)
    | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-o1i2cte2/input.p',i_0_78) ).

cnf(i_0_1,negated_conjecture,
    ~ r2_hidden(k3_group_1(esk1_0,esk3_0),k1_funct_1(k1_latsubgr(esk1_0),esk2_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-o1i2cte2/input.p',i_0_1) ).

cnf(c_0_100,plain,
    ( v3_struct_0(X1)
    | m1_subset_1(k3_group_1(X1,X2),u1_struct_0(X1))
    | ~ v3_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ l1_group_1(X1)
    | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    i_0_32 ).

cnf(c_0_101,negated_conjecture,
    m1_subset_1(esk3_0,u1_struct_0(esk1_0)),
    i_0_3 ).

cnf(c_0_102,negated_conjecture,
    l1_group_1(esk1_0),
    i_0_6 ).

cnf(c_0_103,negated_conjecture,
    v4_group_1(esk1_0),
    i_0_7 ).

cnf(c_0_104,negated_conjecture,
    v3_group_1(esk1_0),
    i_0_8 ).

cnf(c_0_105,negated_conjecture,
    ~ v3_struct_0(esk1_0),
    i_0_9 ).

cnf(c_0_106,plain,
    ( v3_struct_0(X1)
    | r1_rlvect_1(X2,k3_group_1(X1,X3))
    | ~ v3_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ l1_group_1(X1)
    | ~ m1_group_2(X2,X1)
    | ~ r1_rlvect_1(X2,X3)
    | ~ m1_subset_1(X3,u1_struct_0(X1)) ),
    i_0_86 ).

cnf(c_0_107,plain,
    ( v3_struct_0(X1)
    | r1_rlvect_1(X2,X3)
    | ~ v3_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ l1_group_1(X1)
    | ~ v1_group_1(X2)
    | ~ m1_group_2(X2,X1)
    | ~ m1_subset_1(X3,u1_struct_0(X1))
    | ~ r2_hidden(X3,k1_funct_1(k1_latsubgr(X1),X2)) ),
    i_0_79 ).

cnf(c_0_108,negated_conjecture,
    r2_hidden(esk3_0,k1_funct_1(k1_latsubgr(esk1_0),esk2_0)),
    i_0_2 ).

cnf(c_0_109,negated_conjecture,
    m1_group_2(esk2_0,esk1_0),
    i_0_4 ).

cnf(c_0_110,negated_conjecture,
    v1_group_1(esk2_0),
    i_0_5 ).

cnf(c_0_111,plain,
    ( v3_struct_0(X1)
    | r2_hidden(X2,k1_funct_1(k1_latsubgr(X1),X3))
    | ~ v3_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ l1_group_1(X1)
    | ~ v1_group_1(X3)
    | ~ m1_group_2(X3,X1)
    | ~ r1_rlvect_1(X3,X2)
    | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    i_0_78 ).

cnf(c_0_112,negated_conjecture,
    m1_subset_1(k3_group_1(esk1_0,esk3_0),u1_struct_0(esk1_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_102]),c_0_103]),c_0_104])]),c_0_105]) ).

cnf(c_0_113,negated_conjecture,
    ( r1_rlvect_1(X1,k3_group_1(esk1_0,esk3_0))
    | ~ r1_rlvect_1(X1,esk3_0)
    | ~ m1_group_2(X1,esk1_0) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_101]),c_0_102]),c_0_103]),c_0_104])]),c_0_105]) ).

cnf(c_0_114,negated_conjecture,
    r1_rlvect_1(esk2_0,esk3_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_108]),c_0_101]),c_0_109]),c_0_110]),c_0_102]),c_0_103]),c_0_104])]),c_0_105]) ).

cnf(c_0_115,plain,
    ( r2_hidden(k3_group_1(esk1_0,esk3_0),k1_funct_1(k1_latsubgr(esk1_0),X1))
    | ~ r1_rlvect_1(X1,k3_group_1(esk1_0,esk3_0))
    | ~ m1_group_2(X1,esk1_0)
    | ~ v1_group_1(X1) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_112]),c_0_102]),c_0_103]),c_0_104])]),c_0_105]) ).

cnf(c_0_116,negated_conjecture,
    r1_rlvect_1(esk2_0,k3_group_1(esk1_0,esk3_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_114]),c_0_109])]) ).

cnf(c_0_117,negated_conjecture,
    ~ r2_hidden(k3_group_1(esk1_0,esk3_0),k1_funct_1(k1_latsubgr(esk1_0),esk2_0)),
    i_0_1 ).

cnf(c_0_118,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_116]),c_0_109]),c_0_110])]),c_0_117]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : GRP644+1 : TPTP v8.1.0. Released v3.4.0.
% 0.12/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n010.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 : Mon Jun 13 06:44:41 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.46  # ENIGMATIC: Selected complete mode:
% 8.19/2.52  # ENIGMATIC: Solved by autoschedule:
% 8.19/2.52  # No SInE strategy applied
% 8.19/2.52  # Trying AutoSched0 for 150 seconds
% 8.19/2.52  # AutoSched0-Mode selected heuristic G_E___200_B02_F1_SE_CS_SP_PI_S0S
% 8.19/2.52  # and selection function SelectComplexG.
% 8.19/2.52  #
% 8.19/2.52  # Preprocessing time       : 0.026 s
% 8.19/2.52  
% 8.19/2.52  # Proof found!
% 8.19/2.52  # SZS status Theorem
% 8.19/2.52  # SZS output start CNFRefutation
% See solution above
% 8.19/2.52  # Training examples: 0 positive, 0 negative
% 8.19/2.52  
% 8.19/2.52  # -------------------------------------------------
% 8.19/2.52  # User time                : 0.045 s
% 8.19/2.52  # System time              : 0.005 s
% 8.19/2.52  # Total time               : 0.050 s
% 8.19/2.52  # Maximum resident set size: 7120 pages
% 8.19/2.52  
%------------------------------------------------------------------------------