TSTP Solution File: SEU350+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SEU350+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n018.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 08:41:04 EDT 2022

% Result   : Theorem 7.41s 2.47s
% Output   : CNFRefutation 7.41s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   32 (  14 unt;  13 nHn;  32 RR)
%            Number of literals    :   84 (   6 equ;  45 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-2 aty)
%            Number of variables   :   26 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_15,plain,
    ( cast_to_el_of_lattice(X1,X2) = X2
    | empty_carrier(X1)
    | ~ latt_str(X1)
    | ~ lattice(X1)
    | ~ element(X2,the_carrier(poset_of_lattice(X1))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-kqqta6ct/lgb.p',i_0_15) ).

cnf(i_0_103,negated_conjecture,
    element(esk19_0,the_carrier(poset_of_lattice(esk18_0))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-kqqta6ct/lgb.p',i_0_103) ).

cnf(i_0_105,negated_conjecture,
    lattice(esk18_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-kqqta6ct/lgb.p',i_0_105) ).

cnf(i_0_104,negated_conjecture,
    latt_str(esk18_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-kqqta6ct/lgb.p',i_0_104) ).

cnf(i_0_106,negated_conjecture,
    ~ empty_carrier(esk18_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-kqqta6ct/lgb.p',i_0_106) ).

cnf(i_0_32,plain,
    ( empty_carrier(X1)
    | element(cast_to_el_of_lattice(X1,X2),the_carrier(X1))
    | ~ latt_str(X1)
    | ~ lattice(X1)
    | ~ element(X2,the_carrier(poset_of_lattice(X1))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-kqqta6ct/lgb.p',i_0_32) ).

cnf(i_0_14,plain,
    ( cast_to_el_of_LattPOSet(X1,X2) = X2
    | empty_carrier(X1)
    | ~ latt_str(X1)
    | ~ lattice(X1)
    | ~ element(X2,the_carrier(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-kqqta6ct/lgb.p',i_0_14) ).

cnf(i_0_99,plain,
    ( empty_carrier(X1)
    | latt_element_smaller(X1,X2,X3)
    | ~ latt_str(X1)
    | ~ lattice(X1)
    | ~ element(X2,the_carrier(X1))
    | ~ relstr_set_smaller(poset_of_lattice(X1),X3,cast_to_el_of_LattPOSet(X1,X2)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-kqqta6ct/lgb.p',i_0_99) ).

cnf(i_0_101,negated_conjecture,
    ( relstr_set_smaller(poset_of_lattice(esk18_0),esk17_0,esk19_0)
    | latt_element_smaller(esk18_0,cast_to_el_of_lattice(esk18_0,esk19_0),esk17_0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-kqqta6ct/lgb.p',i_0_101) ).

cnf(i_0_102,negated_conjecture,
    ( ~ relstr_set_smaller(poset_of_lattice(esk18_0),esk17_0,esk19_0)
    | ~ latt_element_smaller(esk18_0,cast_to_el_of_lattice(esk18_0,esk19_0),esk17_0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-kqqta6ct/lgb.p',i_0_102) ).

cnf(i_0_100,plain,
    ( empty_carrier(X1)
    | relstr_set_smaller(poset_of_lattice(X1),X2,cast_to_el_of_LattPOSet(X1,X3))
    | ~ latt_str(X1)
    | ~ lattice(X1)
    | ~ latt_element_smaller(X1,X3,X2)
    | ~ element(X3,the_carrier(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-kqqta6ct/lgb.p',i_0_100) ).

cnf(c_0_118,plain,
    ( cast_to_el_of_lattice(X1,X2) = X2
    | empty_carrier(X1)
    | ~ latt_str(X1)
    | ~ lattice(X1)
    | ~ element(X2,the_carrier(poset_of_lattice(X1))) ),
    i_0_15 ).

cnf(c_0_119,negated_conjecture,
    element(esk19_0,the_carrier(poset_of_lattice(esk18_0))),
    i_0_103 ).

cnf(c_0_120,negated_conjecture,
    lattice(esk18_0),
    i_0_105 ).

cnf(c_0_121,negated_conjecture,
    latt_str(esk18_0),
    i_0_104 ).

cnf(c_0_122,negated_conjecture,
    ~ empty_carrier(esk18_0),
    i_0_106 ).

cnf(c_0_123,plain,
    ( empty_carrier(X1)
    | element(cast_to_el_of_lattice(X1,X2),the_carrier(X1))
    | ~ latt_str(X1)
    | ~ lattice(X1)
    | ~ element(X2,the_carrier(poset_of_lattice(X1))) ),
    i_0_32 ).

cnf(c_0_124,negated_conjecture,
    cast_to_el_of_lattice(esk18_0,esk19_0) = esk19_0,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_119]),c_0_120]),c_0_121])]),c_0_122]) ).

cnf(c_0_125,plain,
    ( cast_to_el_of_LattPOSet(X1,X2) = X2
    | empty_carrier(X1)
    | ~ latt_str(X1)
    | ~ lattice(X1)
    | ~ element(X2,the_carrier(X1)) ),
    i_0_14 ).

cnf(c_0_126,negated_conjecture,
    element(esk19_0,the_carrier(esk18_0)),
    inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_119]),c_0_120]),c_0_121])]),c_0_122]),c_0_124]) ).

cnf(c_0_127,plain,
    ( empty_carrier(X1)
    | latt_element_smaller(X1,X2,X3)
    | ~ latt_str(X1)
    | ~ lattice(X1)
    | ~ element(X2,the_carrier(X1))
    | ~ relstr_set_smaller(poset_of_lattice(X1),X3,cast_to_el_of_LattPOSet(X1,X2)) ),
    i_0_99 ).

cnf(c_0_128,plain,
    cast_to_el_of_LattPOSet(esk18_0,esk19_0) = esk19_0,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_126]),c_0_120]),c_0_121])]),c_0_122]) ).

cnf(c_0_129,negated_conjecture,
    ( relstr_set_smaller(poset_of_lattice(esk18_0),esk17_0,esk19_0)
    | latt_element_smaller(esk18_0,cast_to_el_of_lattice(esk18_0,esk19_0),esk17_0) ),
    i_0_101 ).

cnf(c_0_130,negated_conjecture,
    ( ~ relstr_set_smaller(poset_of_lattice(esk18_0),esk17_0,esk19_0)
    | ~ latt_element_smaller(esk18_0,cast_to_el_of_lattice(esk18_0,esk19_0),esk17_0) ),
    i_0_102 ).

cnf(c_0_131,plain,
    ( latt_element_smaller(esk18_0,esk19_0,X1)
    | ~ relstr_set_smaller(poset_of_lattice(esk18_0),X1,esk19_0) ),
    inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_126]),c_0_120]),c_0_121])]),c_0_122]),c_0_128]) ).

cnf(c_0_132,negated_conjecture,
    ( latt_element_smaller(esk18_0,esk19_0,esk17_0)
    | relstr_set_smaller(poset_of_lattice(esk18_0),esk17_0,esk19_0) ),
    inference(rw,[status(thm)],[c_0_129,c_0_124]) ).

cnf(c_0_133,plain,
    ( empty_carrier(X1)
    | relstr_set_smaller(poset_of_lattice(X1),X2,cast_to_el_of_LattPOSet(X1,X3))
    | ~ latt_str(X1)
    | ~ lattice(X1)
    | ~ latt_element_smaller(X1,X3,X2)
    | ~ element(X3,the_carrier(X1)) ),
    i_0_100 ).

cnf(c_0_134,negated_conjecture,
    ( ~ latt_element_smaller(esk18_0,esk19_0,esk17_0)
    | ~ relstr_set_smaller(poset_of_lattice(esk18_0),esk17_0,esk19_0) ),
    inference(rw,[status(thm)],[c_0_130,c_0_124]) ).

cnf(c_0_135,negated_conjecture,
    latt_element_smaller(esk18_0,esk19_0,esk17_0),
    inference(spm,[status(thm)],[c_0_131,c_0_132]) ).

cnf(c_0_136,plain,
    ( relstr_set_smaller(poset_of_lattice(esk18_0),X1,esk19_0)
    | ~ latt_element_smaller(esk18_0,esk19_0,X1) ),
    inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_126]),c_0_120]),c_0_121])]),c_0_122]),c_0_128]) ).

cnf(c_0_137,negated_conjecture,
    ~ relstr_set_smaller(poset_of_lattice(esk18_0),esk17_0,esk19_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_134,c_0_135])]) ).

cnf(c_0_138,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_135]),c_0_137]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : SEU350+1 : TPTP v8.1.0. Released v3.3.0.
% 0.04/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n018.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 : Sun Jun 19 11:55:35 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.45  # ENIGMATIC: Selected complete mode:
% 7.41/2.47  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.41/2.47  # No SInE strategy applied
% 7.41/2.47  # Trying AutoSched0 for 150 seconds
% 7.41/2.47  # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S2S
% 7.41/2.47  # and selection function SelectNewComplexAHP.
% 7.41/2.47  #
% 7.41/2.47  # Preprocessing time       : 0.014 s
% 7.41/2.47  # Presaturation interreduction done
% 7.41/2.47  
% 7.41/2.47  # Proof found!
% 7.41/2.47  # SZS status Theorem
% 7.41/2.47  # SZS output start CNFRefutation
% See solution above
% 7.41/2.47  # Training examples: 0 positive, 0 negative
% 7.41/2.47  
% 7.41/2.47  # -------------------------------------------------
% 7.41/2.47  # User time                : 0.016 s
% 7.41/2.47  # System time              : 0.004 s
% 7.41/2.47  # Total time               : 0.020 s
% 7.41/2.47  # Maximum resident set size: 7128 pages
% 7.41/2.47  
%------------------------------------------------------------------------------