TSTP Solution File: SEU156+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SEU156+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n007.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 08:38:57 EDT 2022

% Result   : Theorem 7.60s 2.45s
% Output   : CNFRefutation 7.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   39 (  15 unt;  12 nHn;  35 RR)
%            Number of literals    :   72 (  66 equ;  25 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   49 (   9 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_12,negated_conjecture,
    unordered_pair(unordered_pair(esk3_0,esk4_0),unordered_pair(esk3_0,esk3_0)) = unordered_pair(unordered_pair(esk5_0,esk6_0),unordered_pair(esk5_0,esk5_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-d9kem8t1/lgb.p',i_0_12) ).

cnf(i_0_1,plain,
    unordered_pair(X1,X2) = unordered_pair(X2,X1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-d9kem8t1/lgb.p',i_0_1) ).

cnf(i_0_10,plain,
    ( X1 = X2
    | X1 = X3
    | unordered_pair(X1,X4) != unordered_pair(X3,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-d9kem8t1/lgb.p',i_0_10) ).

cnf(i_0_16,plain,
    ( X1 = X2
    | unordered_pair(X3,X3) != unordered_pair(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-d9kem8t1/lgb.p',i_0_16) ).

cnf(i_0_14,plain,
    ( X1 = X2
    | ~ subset(unordered_pair(X1,X1),unordered_pair(X2,X2)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-d9kem8t1/lgb.p',i_0_14) ).

cnf(i_0_9,plain,
    subset(X1,X1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-d9kem8t1/lgb.p',i_0_9) ).

cnf(i_0_15,plain,
    ( X1 = X2
    | unordered_pair(X1,X1) != unordered_pair(X2,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-d9kem8t1/lgb.p',i_0_15) ).

cnf(i_0_11,negated_conjecture,
    ( esk3_0 != esk5_0
    | esk4_0 != esk6_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-d9kem8t1/lgb.p',i_0_11) ).

cnf(c_0_25,negated_conjecture,
    unordered_pair(unordered_pair(esk3_0,esk4_0),unordered_pair(esk3_0,esk3_0)) = unordered_pair(unordered_pair(esk5_0,esk6_0),unordered_pair(esk5_0,esk5_0)),
    i_0_12 ).

cnf(c_0_26,plain,
    unordered_pair(X1,X2) = unordered_pair(X2,X1),
    i_0_1 ).

cnf(c_0_27,plain,
    ( X1 = X2
    | X1 = X3
    | unordered_pair(X1,X4) != unordered_pair(X3,X2) ),
    i_0_10 ).

cnf(c_0_28,negated_conjecture,
    unordered_pair(unordered_pair(esk3_0,esk3_0),unordered_pair(esk3_0,esk4_0)) = unordered_pair(unordered_pair(esk5_0,esk5_0),unordered_pair(esk5_0,esk6_0)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_26]),c_0_26]) ).

cnf(c_0_29,negated_conjecture,
    ( X1 = unordered_pair(esk3_0,esk4_0)
    | X1 = unordered_pair(esk3_0,esk3_0)
    | unordered_pair(X1,X2) != unordered_pair(unordered_pair(esk5_0,esk5_0),unordered_pair(esk5_0,esk6_0)) ),
    inference(spm,[status(thm)],[c_0_27,c_0_28]) ).

cnf(c_0_30,plain,
    ( X1 = X2
    | unordered_pair(X3,X3) != unordered_pair(X1,X2) ),
    i_0_16 ).

cnf(c_0_31,negated_conjecture,
    ( unordered_pair(esk3_0,esk3_0) = unordered_pair(esk5_0,esk5_0)
    | unordered_pair(esk3_0,esk4_0) = unordered_pair(esk5_0,esk5_0) ),
    inference(er,[status(thm)],[c_0_29]) ).

cnf(c_0_32,plain,
    ( unordered_pair(esk3_0,esk3_0) = unordered_pair(esk5_0,esk5_0)
    | esk4_0 = esk3_0
    | unordered_pair(esk5_0,esk5_0) != unordered_pair(X1,X1) ),
    inference(spm,[status(thm)],[c_0_30,c_0_31]) ).

cnf(c_0_33,plain,
    ( X1 = X2
    | ~ subset(unordered_pair(X1,X1),unordered_pair(X2,X2)) ),
    i_0_14 ).

cnf(c_0_34,plain,
    ( unordered_pair(esk3_0,esk3_0) = unordered_pair(esk5_0,esk5_0)
    | esk4_0 = esk3_0 ),
    inference(er,[status(thm)],[c_0_32]) ).

cnf(c_0_35,plain,
    ( esk4_0 = esk3_0
    | esk3_0 = X1
    | ~ subset(unordered_pair(esk5_0,esk5_0),unordered_pair(X1,X1)) ),
    inference(spm,[status(thm)],[c_0_33,c_0_34]) ).

cnf(c_0_36,plain,
    subset(X1,X1),
    i_0_9 ).

cnf(c_0_37,plain,
    ( X1 = X2
    | unordered_pair(X1,X1) != unordered_pair(X2,X3) ),
    i_0_15 ).

cnf(c_0_38,plain,
    ( esk3_0 = esk5_0
    | esk4_0 = esk3_0 ),
    inference(spm,[status(thm)],[c_0_35,c_0_36]) ).

cnf(c_0_39,plain,
    ( X1 = X2
    | unordered_pair(X1,X1) != unordered_pair(X3,X2) ),
    inference(spm,[status(thm)],[c_0_37,c_0_26]) ).

cnf(c_0_40,negated_conjecture,
    esk3_0 = esk5_0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_38]),c_0_39]) ).

cnf(c_0_41,plain,
    ( X1 = X2
    | X1 = X3
    | unordered_pair(X4,X1) != unordered_pair(X3,X2) ),
    inference(spm,[status(thm)],[c_0_27,c_0_26]) ).

cnf(c_0_42,negated_conjecture,
    unordered_pair(unordered_pair(esk5_0,esk5_0),unordered_pair(esk5_0,esk4_0)) = unordered_pair(unordered_pair(esk5_0,esk5_0),unordered_pair(esk5_0,esk6_0)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_28,c_0_40]),c_0_40]),c_0_40]) ).

cnf(c_0_43,negated_conjecture,
    ( X1 = unordered_pair(esk5_0,esk5_0)
    | X1 = unordered_pair(esk5_0,esk4_0)
    | unordered_pair(X2,X1) != unordered_pair(unordered_pair(esk5_0,esk5_0),unordered_pair(esk5_0,esk6_0)) ),
    inference(spm,[status(thm)],[c_0_41,c_0_42]) ).

cnf(c_0_44,negated_conjecture,
    ( unordered_pair(esk5_0,esk4_0) = unordered_pair(esk5_0,esk6_0)
    | unordered_pair(esk5_0,esk6_0) = unordered_pair(esk5_0,esk5_0) ),
    inference(er,[status(thm)],[c_0_43]) ).

cnf(c_0_45,negated_conjecture,
    ( esk3_0 != esk5_0
    | esk4_0 != esk6_0 ),
    i_0_11 ).

cnf(c_0_46,negated_conjecture,
    ( X1 = unordered_pair(esk3_0,esk4_0)
    | unordered_pair(X1,X1) != unordered_pair(unordered_pair(esk5_0,esk5_0),unordered_pair(esk5_0,esk6_0)) ),
    inference(spm,[status(thm)],[c_0_39,c_0_28]) ).

cnf(c_0_47,plain,
    ( unordered_pair(esk5_0,esk6_0) = unordered_pair(esk5_0,esk5_0)
    | X1 = esk5_0
    | X1 = esk4_0
    | unordered_pair(X2,X1) != unordered_pair(esk5_0,esk6_0) ),
    inference(spm,[status(thm)],[c_0_41,c_0_44]) ).

cnf(c_0_48,negated_conjecture,
    esk4_0 != esk6_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_45,c_0_40])]) ).

cnf(c_0_49,negated_conjecture,
    ( X1 = unordered_pair(esk5_0,esk4_0)
    | unordered_pair(X1,X1) != unordered_pair(unordered_pair(esk5_0,esk5_0),unordered_pair(esk5_0,esk6_0)) ),
    inference(rw,[status(thm)],[c_0_46,c_0_40]) ).

cnf(c_0_50,plain,
    esk6_0 = esk5_0,
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(er,[status(thm)],[c_0_47]),c_0_48]),c_0_39]) ).

cnf(c_0_51,negated_conjecture,
    ( X1 = unordered_pair(esk5_0,esk4_0)
    | unordered_pair(X1,X1) != unordered_pair(unordered_pair(esk5_0,esk5_0),unordered_pair(esk5_0,esk5_0)) ),
    inference(rw,[status(thm)],[c_0_49,c_0_50]) ).

cnf(c_0_52,negated_conjecture,
    unordered_pair(esk5_0,esk4_0) = unordered_pair(esk5_0,esk5_0),
    inference(er,[status(thm)],[c_0_51]) ).

cnf(c_0_53,negated_conjecture,
    esk4_0 != esk5_0,
    inference(rw,[status(thm)],[c_0_48,c_0_50]) ).

cnf(c_0_54,plain,
    unordered_pair(esk5_0,esk5_0) != unordered_pair(X1,X1),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_52]),c_0_53]) ).

cnf(c_0_55,plain,
    $false,
    inference(er,[status(thm)],[c_0_54]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14  % Problem  : SEU156+1 : TPTP v8.1.0. Released v3.3.0.
% 0.13/0.14  % Command  : enigmatic-eprover.py %s %d 1
% 0.14/0.36  % Computer : n007.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 600
% 0.14/0.36  % DateTime : Mon Jun 20 01:15:16 EDT 2022
% 0.14/0.37  % CPUTime  : 
% 0.22/0.48  # ENIGMATIC: Selected complete mode:
% 7.60/2.45  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.60/2.45  # No SInE strategy applied
% 7.60/2.45  # Trying AutoSched0 for 150 seconds
% 7.60/2.45  # AutoSched0-Mode selected heuristic G_____X1276__C12_02_nc_F1_AE_CS_SP_RG_S04AN
% 7.60/2.45  # and selection function SelectComplexExceptUniqMaxHorn.
% 7.60/2.45  #
% 7.60/2.45  # Preprocessing time       : 0.012 s
% 7.60/2.45  # Presaturation interreduction done
% 7.60/2.45  
% 7.60/2.45  # Proof found!
% 7.60/2.45  # SZS status Theorem
% 7.60/2.45  # SZS output start CNFRefutation
% See solution above
% 7.60/2.45  # Training examples: 0 positive, 0 negative
% 7.60/2.45  
% 7.60/2.45  # -------------------------------------------------
% 7.60/2.45  # User time                : 0.014 s
% 7.60/2.45  # System time              : 0.007 s
% 7.60/2.45  # Total time               : 0.021 s
% 7.60/2.45  # Maximum resident set size: 7128 pages
% 7.60/2.45  
%------------------------------------------------------------------------------