TSTP Solution File: GRP640+4 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : GRP640+4 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n025.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 08:39:47 EDT 2022

% Result   : Theorem 12.71s 6.05s
% Output   : CNFRefutation 12.71s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   15
% Syntax   : Number of clauses     :   34 (  20 unt;  14 nHn;  34 RR)
%            Number of literals    :  128 (  13 equ;  84 neg)
%            Maximal clause size   :   10 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   1 prp; 0-3 aty)
%            Number of functors    :   13 (  13 usr;   6 con; 0-4 aty)
%            Number of variables   :   40 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_1221,plain,
    ( X1 = X2
    | v3_struct_0(X3)
    | ~ l1_group_1(X3)
    | ~ v3_group_1(X3)
    | ~ v4_group_1(X3)
    | ~ v1_group_1(X2)
    | ~ v1_group_1(X1)
    | ~ m1_group_2(X2,X3)
    | ~ m1_group_2(X1,X3)
    | ~ r1_group_2(X3,X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-v35shy9r/lgb.p',i_0_1221) ).

cnf(i_0_4509,plain,
    ( v3_struct_0(X1)
    | r1_group_2(X1,k8_group_4(X1,X2,X3),k5_group_4(X1,X4))
    | X4 != k3_tarski(k2_tarski(u1_struct_0(X2),u1_struct_0(X3)))
    | ~ l1_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ m1_group_2(X3,X1)
    | ~ m1_group_2(X2,X1)
    | ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-v35shy9r/lgb.p',i_0_4509) ).

cnf(i_0_655,plain,
    ( v3_struct_0(X1)
    | m1_group_2(k5_group_4(X1,X2),X1)
    | ~ l1_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-v35shy9r/lgb.p',i_0_655) ).

cnf(i_0_682,plain,
    ( v3_struct_0(X1)
    | m1_group_2(k8_group_4(X1,X2,X3),X1)
    | ~ l1_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ m1_group_2(X3,X1)
    | ~ m1_group_2(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-v35shy9r/lgb.p',i_0_682) ).

cnf(i_0_656,plain,
    ( v3_struct_0(X1)
    | v1_group_1(k5_group_4(X1,X2))
    | ~ l1_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-v35shy9r/lgb.p',i_0_656) ).

cnf(i_0_683,plain,
    ( v3_struct_0(X1)
    | v1_group_1(k8_group_4(X1,X2,X3))
    | ~ l1_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ m1_group_2(X3,X1)
    | ~ m1_group_2(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-v35shy9r/lgb.p',i_0_683) ).

cnf(i_0_1688,negated_conjecture,
    k3_tarski(k2_tarski(u1_struct_0(esk304_0),u1_struct_0(esk305_0))) = esk307_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-v35shy9r/lgb.p',i_0_1688) ).

cnf(i_0_1689,negated_conjecture,
    m1_subset_1(esk307_0,k1_zfmisc_1(u1_struct_0(esk302_0))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-v35shy9r/lgb.p',i_0_1689) ).

cnf(i_0_1700,negated_conjecture,
    v4_group_1(esk302_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-v35shy9r/lgb.p',i_0_1700) ).

cnf(i_0_1701,negated_conjecture,
    v3_group_1(esk302_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-v35shy9r/lgb.p',i_0_1701) ).

cnf(i_0_1699,negated_conjecture,
    l1_group_1(esk302_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-v35shy9r/lgb.p',i_0_1699) ).

cnf(i_0_1693,negated_conjecture,
    m1_group_2(esk305_0,esk302_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-v35shy9r/lgb.p',i_0_1693) ).

cnf(i_0_1694,negated_conjecture,
    m1_group_2(esk304_0,esk302_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-v35shy9r/lgb.p',i_0_1694) ).

cnf(i_0_1702,negated_conjecture,
    ~ v3_struct_0(esk302_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-v35shy9r/lgb.p',i_0_1702) ).

cnf(i_0_1687,negated_conjecture,
    k2_funct_2(u1_struct_0(esk302_0),u1_struct_0(esk303_0),esk306_0,u1_struct_0(k8_group_4(esk302_0,esk304_0,esk305_0))) != k2_funct_2(u1_struct_0(esk302_0),u1_struct_0(esk303_0),esk306_0,u1_struct_0(k5_group_4(esk302_0,esk307_0))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-v35shy9r/lgb.p',i_0_1687) ).

cnf(c_0_4525,plain,
    ( X1 = X2
    | v3_struct_0(X3)
    | ~ l1_group_1(X3)
    | ~ v3_group_1(X3)
    | ~ v4_group_1(X3)
    | ~ v1_group_1(X2)
    | ~ v1_group_1(X1)
    | ~ m1_group_2(X2,X3)
    | ~ m1_group_2(X1,X3)
    | ~ r1_group_2(X3,X1,X2) ),
    i_0_1221 ).

cnf(c_0_4526,plain,
    ( v3_struct_0(X1)
    | r1_group_2(X1,k8_group_4(X1,X2,X3),k5_group_4(X1,X4))
    | X4 != k3_tarski(k2_tarski(u1_struct_0(X2),u1_struct_0(X3)))
    | ~ l1_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ m1_group_2(X3,X1)
    | ~ m1_group_2(X2,X1)
    | ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1))) ),
    i_0_4509 ).

cnf(c_0_4527,plain,
    ( v3_struct_0(X1)
    | m1_group_2(k5_group_4(X1,X2),X1)
    | ~ l1_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
    i_0_655 ).

cnf(c_0_4528,plain,
    ( v3_struct_0(X1)
    | m1_group_2(k8_group_4(X1,X2,X3),X1)
    | ~ l1_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ m1_group_2(X3,X1)
    | ~ m1_group_2(X2,X1) ),
    i_0_682 ).

cnf(c_0_4529,plain,
    ( v3_struct_0(X1)
    | v1_group_1(k5_group_4(X1,X2))
    | ~ l1_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
    i_0_656 ).

cnf(c_0_4530,plain,
    ( v3_struct_0(X1)
    | v1_group_1(k8_group_4(X1,X2,X3))
    | ~ l1_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ m1_group_2(X3,X1)
    | ~ m1_group_2(X2,X1) ),
    i_0_683 ).

cnf(c_0_4531,plain,
    ( k8_group_4(X1,X2,X3) = k5_group_4(X1,X4)
    | v3_struct_0(X1)
    | X4 != k3_tarski(k2_tarski(u1_struct_0(X2),u1_struct_0(X3)))
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ l1_group_1(X1)
    | ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))
    | ~ m1_group_2(X3,X1)
    | ~ m1_group_2(X2,X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4525,c_0_4526]),c_0_4527]),c_0_4528]),c_0_4529]),c_0_4530]) ).

cnf(c_0_4532,negated_conjecture,
    k3_tarski(k2_tarski(u1_struct_0(esk304_0),u1_struct_0(esk305_0))) = esk307_0,
    i_0_1688 ).

cnf(c_0_4533,negated_conjecture,
    ( k8_group_4(X1,esk304_0,esk305_0) = k5_group_4(X1,X2)
    | v3_struct_0(X1)
    | X2 != esk307_0
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ l1_group_1(X1)
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
    | ~ m1_group_2(esk305_0,X1)
    | ~ m1_group_2(esk304_0,X1) ),
    inference(spm,[status(thm)],[c_0_4531,c_0_4532]) ).

cnf(c_0_4534,negated_conjecture,
    m1_subset_1(esk307_0,k1_zfmisc_1(u1_struct_0(esk302_0))),
    i_0_1689 ).

cnf(c_0_4535,negated_conjecture,
    v4_group_1(esk302_0),
    i_0_1700 ).

cnf(c_0_4536,negated_conjecture,
    v3_group_1(esk302_0),
    i_0_1701 ).

cnf(c_0_4537,negated_conjecture,
    l1_group_1(esk302_0),
    i_0_1699 ).

cnf(c_0_4538,negated_conjecture,
    m1_group_2(esk305_0,esk302_0),
    i_0_1693 ).

cnf(c_0_4539,negated_conjecture,
    m1_group_2(esk304_0,esk302_0),
    i_0_1694 ).

cnf(c_0_4540,negated_conjecture,
    ~ v3_struct_0(esk302_0),
    i_0_1702 ).

cnf(c_0_4541,negated_conjecture,
    k2_funct_2(u1_struct_0(esk302_0),u1_struct_0(esk303_0),esk306_0,u1_struct_0(k8_group_4(esk302_0,esk304_0,esk305_0))) != k2_funct_2(u1_struct_0(esk302_0),u1_struct_0(esk303_0),esk306_0,u1_struct_0(k5_group_4(esk302_0,esk307_0))),
    i_0_1687 ).

cnf(c_0_4542,negated_conjecture,
    k8_group_4(esk302_0,esk304_0,esk305_0) = k5_group_4(esk302_0,esk307_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(spm,[status(thm)],[c_0_4533,c_0_4534]),c_0_4535]),c_0_4536]),c_0_4537]),c_0_4538]),c_0_4539])]),c_0_4540]) ).

cnf(c_0_4543,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_4541,c_0_4542])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : GRP640+4 : TPTP v8.1.0. Released v3.4.0.
% 0.12/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n025.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 : Tue Jun 14 00:25:46 EDT 2022
% 0.18/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected SinE mode:
% 1.45/1.68  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.45/1.68  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 1.45/1.68  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 1.45/1.68  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 12.71/6.05  # ENIGMATIC: Solved by autoschedule-lgb:
% 12.71/6.05  # No SInE strategy applied
% 12.71/6.05  # Trying AutoSched0 for 149 seconds
% 12.71/6.05  # AutoSched0-Mode selected heuristic G_E___302_C18_F1_URBAN_S0Y
% 12.71/6.05  # and selection function SelectMaxLComplexAvoidPosPred.
% 12.71/6.05  #
% 12.71/6.05  # Preprocessing time       : 0.031 s
% 12.71/6.05  
% 12.71/6.05  # Proof found!
% 12.71/6.05  # SZS status Theorem
% 12.71/6.05  # SZS output start CNFRefutation
% See solution above
% 12.71/6.05  # Training examples: 0 positive, 0 negative
% 12.71/6.05  
% 12.71/6.05  # -------------------------------------------------
% 12.71/6.05  # User time                : 0.037 s
% 12.71/6.05  # System time              : 0.007 s
% 12.71/6.05  # Total time               : 0.044 s
% 12.71/6.05  # Maximum resident set size: 7120 pages
% 12.71/6.05  
%------------------------------------------------------------------------------