TSTP Solution File: SEU177+2 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SEU177+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n006.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 : Tue Jul 19 08:39:13 EDT 2022

% Result   : Theorem 7.10s 2.32s
% Output   : CNFRefutation 7.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   20 (  10 unt;   0 nHn;  18 RR)
%            Number of literals    :   42 (   6 equ;  25 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   32 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_62,plain,
    ( in(X1,X2)
    | X2 != relation_dom(X3)
    | ~ relation(X3)
    | ~ in(unordered_pair(unordered_pair(X1,X4),unordered_pair(X1,X1)),X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y78bgo1r/lgb.p',i_0_62) ).

cnf(i_0_3,plain,
    unordered_pair(X1,X2) = unordered_pair(X2,X1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y78bgo1r/lgb.p',i_0_3) ).

cnf(i_0_177,negated_conjecture,
    in(unordered_pair(unordered_pair(esk35_0,esk36_0),unordered_pair(esk35_0,esk35_0)),esk37_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y78bgo1r/lgb.p',i_0_177) ).

cnf(i_0_79,plain,
    ( in(X1,X2)
    | X2 != relation_rng(X3)
    | ~ relation(X3)
    | ~ in(unordered_pair(unordered_pair(X4,X1),unordered_pair(X4,X4)),X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y78bgo1r/lgb.p',i_0_79) ).

cnf(i_0_178,negated_conjecture,
    relation(esk37_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y78bgo1r/lgb.p',i_0_178) ).

cnf(i_0_176,negated_conjecture,
    ( ~ in(esk35_0,relation_dom(esk37_0))
    | ~ in(esk36_0,relation_rng(esk37_0)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y78bgo1r/lgb.p',i_0_176) ).

cnf(c_0_185,plain,
    ( in(X1,X2)
    | X2 != relation_dom(X3)
    | ~ relation(X3)
    | ~ in(unordered_pair(unordered_pair(X1,X4),unordered_pair(X1,X1)),X3) ),
    i_0_62 ).

cnf(c_0_186,plain,
    ( in(X1,relation_dom(X2))
    | ~ relation(X2)
    | ~ in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1)),X2) ),
    inference(er,[status(thm)],[c_0_185]) ).

cnf(c_0_187,plain,
    unordered_pair(X1,X2) = unordered_pair(X2,X1),
    i_0_3 ).

cnf(c_0_188,negated_conjecture,
    in(unordered_pair(unordered_pair(esk35_0,esk36_0),unordered_pair(esk35_0,esk35_0)),esk37_0),
    i_0_177 ).

cnf(c_0_189,plain,
    ( in(X1,X2)
    | X2 != relation_rng(X3)
    | ~ relation(X3)
    | ~ in(unordered_pair(unordered_pair(X4,X1),unordered_pair(X4,X4)),X3) ),
    i_0_79 ).

cnf(c_0_190,plain,
    ( in(X1,relation_dom(X2))
    | ~ relation(X2)
    | ~ in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,X3)),X2) ),
    inference(spm,[status(thm)],[c_0_186,c_0_187]) ).

cnf(c_0_191,negated_conjecture,
    in(unordered_pair(unordered_pair(esk35_0,esk35_0),unordered_pair(esk35_0,esk36_0)),esk37_0),
    inference(rw,[status(thm)],[c_0_188,c_0_187]) ).

cnf(c_0_192,negated_conjecture,
    relation(esk37_0),
    i_0_178 ).

cnf(c_0_193,plain,
    ( in(X1,relation_rng(X2))
    | ~ relation(X2)
    | ~ in(unordered_pair(unordered_pair(X3,X1),unordered_pair(X3,X3)),X2) ),
    inference(er,[status(thm)],[c_0_189]) ).

cnf(c_0_194,negated_conjecture,
    ( ~ in(esk35_0,relation_dom(esk37_0))
    | ~ in(esk36_0,relation_rng(esk37_0)) ),
    i_0_176 ).

cnf(c_0_195,negated_conjecture,
    in(esk35_0,relation_dom(esk37_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_191]),c_0_192])]) ).

cnf(c_0_196,plain,
    ( in(X1,relation_rng(X2))
    | ~ relation(X2)
    | ~ in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,X1)),X2) ),
    inference(spm,[status(thm)],[c_0_193,c_0_187]) ).

cnf(c_0_197,negated_conjecture,
    ~ in(esk36_0,relation_rng(esk37_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_194,c_0_195])]) ).

cnf(c_0_198,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_191]),c_0_192])]),c_0_197]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SEU177+2 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n006.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 : Mon Jun 20 14:14:42 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.43  # ENIGMATIC: Selected complete mode:
% 7.10/2.32  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.10/2.32  # No SInE strategy applied
% 7.10/2.32  # Trying AutoSched0 for 150 seconds
% 7.10/2.32  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 7.10/2.32  # and selection function SelectComplexExceptUniqMaxHorn.
% 7.10/2.32  #
% 7.10/2.32  # Preprocessing time       : 0.023 s
% 7.10/2.32  # Presaturation interreduction done
% 7.10/2.32  
% 7.10/2.32  # Proof found!
% 7.10/2.32  # SZS status Theorem
% 7.10/2.32  # SZS output start CNFRefutation
% See solution above
% 7.10/2.32  # Training examples: 0 positive, 0 negative
% 7.10/2.32  
% 7.10/2.32  # -------------------------------------------------
% 7.10/2.32  # User time                : 0.026 s
% 7.10/2.32  # System time              : 0.005 s
% 7.10/2.32  # Total time               : 0.031 s
% 7.10/2.32  # Maximum resident set size: 7124 pages
% 7.10/2.32  
%------------------------------------------------------------------------------