TSTP Solution File: SEU376+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SEU376+1 : TPTP v8.1.0. Released v3.3.0.
% 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 : Tue Jul 19 08:41:40 EDT 2022

% Result   : Theorem 8.74s 2.42s
% Output   : CNFRefutation 8.74s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   15
% Syntax   : Number of clauses     :   43 (  22 unt;  15 nHn;  40 RR)
%            Number of literals    :  131 (   0 equ;  70 neg)
%            Maximal clause size   :    8 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   11 (  10 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   3 con; 0-3 aty)
%            Number of variables   :   55 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_16,plain,
    ( empty_carrier(X1)
    | empty_carrier(X2)
    | is_often_in(X2,X1,X3)
    | element(esk4_3(X2,X1,X3),the_carrier(X1))
    | ~ one_sorted_str(X2)
    | ~ net_str(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lg7r_ro3/lgb.p',i_0_16) ).

cnf(i_0_96,negated_conjecture,
    net_str(esk27_0,esk26_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lg7r_ro3/lgb.p',i_0_96) ).

cnf(i_0_100,negated_conjecture,
    one_sorted_str(esk26_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lg7r_ro3/lgb.p',i_0_100) ).

cnf(i_0_101,negated_conjecture,
    ~ empty_carrier(esk26_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lg7r_ro3/lgb.p',i_0_101) ).

cnf(i_0_99,negated_conjecture,
    ~ empty_carrier(esk27_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lg7r_ro3/lgb.p',i_0_99) ).

cnf(i_0_14,plain,
    ( empty_carrier(X1)
    | empty_carrier(X2)
    | element(esk1_3(X2,X1,X3),the_carrier(X1))
    | ~ one_sorted_str(X2)
    | ~ net_str(X1,X2)
    | ~ is_eventually_in(X2,X1,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lg7r_ro3/lgb.p',i_0_14) ).

cnf(i_0_95,negated_conjecture,
    is_eventually_in(esk26_0,esk27_0,esk28_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lg7r_ro3/lgb.p',i_0_95) ).

cnf(i_0_35,plain,
    ( rel_str(X1)
    | ~ one_sorted_str(X2)
    | ~ net_str(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lg7r_ro3/lgb.p',i_0_35) ).

cnf(i_0_94,negated_conjecture,
    ~ is_often_in(esk26_0,esk27_0,esk28_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lg7r_ro3/lgb.p',i_0_94) ).

cnf(i_0_24,plain,
    ( empty_carrier(X1)
    | related(X1,X2,esk5_3(X1,X2,X3))
    | ~ rel_str(X1)
    | ~ directed_relstr(X1)
    | ~ element(X3,the_carrier(X1))
    | ~ element(X2,the_carrier(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lg7r_ro3/lgb.p',i_0_24) ).

cnf(i_0_97,negated_conjecture,
    directed_relstr(esk27_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lg7r_ro3/lgb.p',i_0_97) ).

cnf(i_0_25,plain,
    ( empty_carrier(X1)
    | element(esk5_3(X1,X2,X3),the_carrier(X1))
    | ~ rel_str(X1)
    | ~ directed_relstr(X1)
    | ~ element(X3,the_carrier(X1))
    | ~ element(X2,the_carrier(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lg7r_ro3/lgb.p',i_0_25) ).

cnf(i_0_23,plain,
    ( empty_carrier(X1)
    | related(X1,X2,esk5_3(X1,X3,X2))
    | ~ rel_str(X1)
    | ~ directed_relstr(X1)
    | ~ element(X3,the_carrier(X1))
    | ~ element(X2,the_carrier(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lg7r_ro3/lgb.p',i_0_23) ).

cnf(i_0_13,plain,
    ( empty_carrier(X1)
    | empty_carrier(X2)
    | in(apply_netmap(X1,X2,X3),X4)
    | ~ one_sorted_str(X1)
    | ~ net_str(X2,X1)
    | ~ is_eventually_in(X1,X2,X4)
    | ~ element(X3,the_carrier(X2))
    | ~ related(X2,esk1_3(X1,X2,X4),X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lg7r_ro3/lgb.p',i_0_13) ).

cnf(i_0_15,plain,
    ( empty_carrier(X1)
    | empty_carrier(X2)
    | is_often_in(X1,X2,X3)
    | ~ one_sorted_str(X1)
    | ~ net_str(X2,X1)
    | ~ element(X4,the_carrier(X2))
    | ~ in(apply_netmap(X1,X2,X4),X3)
    | ~ related(X2,esk4_3(X1,X2,X3),X4) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lg7r_ro3/lgb.p',i_0_15) ).

cnf(c_0_117,plain,
    ( empty_carrier(X1)
    | empty_carrier(X2)
    | is_often_in(X2,X1,X3)
    | element(esk4_3(X2,X1,X3),the_carrier(X1))
    | ~ one_sorted_str(X2)
    | ~ net_str(X1,X2) ),
    i_0_16 ).

cnf(c_0_118,negated_conjecture,
    net_str(esk27_0,esk26_0),
    i_0_96 ).

cnf(c_0_119,negated_conjecture,
    one_sorted_str(esk26_0),
    i_0_100 ).

cnf(c_0_120,negated_conjecture,
    ~ empty_carrier(esk26_0),
    i_0_101 ).

cnf(c_0_121,negated_conjecture,
    ~ empty_carrier(esk27_0),
    i_0_99 ).

cnf(c_0_122,plain,
    ( empty_carrier(X1)
    | empty_carrier(X2)
    | element(esk1_3(X2,X1,X3),the_carrier(X1))
    | ~ one_sorted_str(X2)
    | ~ net_str(X1,X2)
    | ~ is_eventually_in(X2,X1,X3) ),
    i_0_14 ).

cnf(c_0_123,negated_conjecture,
    is_eventually_in(esk26_0,esk27_0,esk28_0),
    i_0_95 ).

cnf(c_0_124,plain,
    ( rel_str(X1)
    | ~ one_sorted_str(X2)
    | ~ net_str(X1,X2) ),
    i_0_35 ).

cnf(c_0_125,negated_conjecture,
    ~ is_often_in(esk26_0,esk27_0,esk28_0),
    i_0_94 ).

cnf(c_0_126,negated_conjecture,
    ( element(esk4_3(esk26_0,esk27_0,X1),the_carrier(esk27_0))
    | is_often_in(esk26_0,esk27_0,X1) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_118]),c_0_119])]),c_0_120]),c_0_121]) ).

cnf(c_0_127,plain,
    ( empty_carrier(X1)
    | related(X1,X2,esk5_3(X1,X2,X3))
    | ~ rel_str(X1)
    | ~ directed_relstr(X1)
    | ~ element(X3,the_carrier(X1))
    | ~ element(X2,the_carrier(X1)) ),
    i_0_24 ).

cnf(c_0_128,negated_conjecture,
    element(esk1_3(esk26_0,esk27_0,esk28_0),the_carrier(esk27_0)),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_123]),c_0_119]),c_0_118])]),c_0_120]),c_0_121]) ).

cnf(c_0_129,negated_conjecture,
    directed_relstr(esk27_0),
    i_0_97 ).

cnf(c_0_130,negated_conjecture,
    rel_str(esk27_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_118]),c_0_119])]) ).

cnf(c_0_131,plain,
    ( empty_carrier(X1)
    | element(esk5_3(X1,X2,X3),the_carrier(X1))
    | ~ rel_str(X1)
    | ~ directed_relstr(X1)
    | ~ element(X3,the_carrier(X1))
    | ~ element(X2,the_carrier(X1)) ),
    i_0_25 ).

cnf(c_0_132,plain,
    ( empty_carrier(X1)
    | related(X1,X2,esk5_3(X1,X3,X2))
    | ~ rel_str(X1)
    | ~ directed_relstr(X1)
    | ~ element(X3,the_carrier(X1))
    | ~ element(X2,the_carrier(X1)) ),
    i_0_23 ).

cnf(c_0_133,negated_conjecture,
    element(esk4_3(esk26_0,esk27_0,esk28_0),the_carrier(esk27_0)),
    inference(spm,[status(thm)],[c_0_125,c_0_126]) ).

cnf(c_0_134,negated_conjecture,
    ( related(esk27_0,X1,esk5_3(esk27_0,X1,esk1_3(esk26_0,esk27_0,esk28_0)))
    | ~ element(X1,the_carrier(esk27_0)) ),
    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_128]),c_0_129]),c_0_130])]),c_0_121]) ).

cnf(c_0_135,negated_conjecture,
    ( element(esk5_3(esk27_0,X1,esk1_3(esk26_0,esk27_0,esk28_0)),the_carrier(esk27_0))
    | ~ element(X1,the_carrier(esk27_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_128]),c_0_129]),c_0_130])]),c_0_121]) ).

cnf(c_0_136,plain,
    ( empty_carrier(X1)
    | empty_carrier(X2)
    | in(apply_netmap(X1,X2,X3),X4)
    | ~ one_sorted_str(X1)
    | ~ net_str(X2,X1)
    | ~ is_eventually_in(X1,X2,X4)
    | ~ element(X3,the_carrier(X2))
    | ~ related(X2,esk1_3(X1,X2,X4),X3) ),
    i_0_13 ).

cnf(c_0_137,plain,
    ( related(esk27_0,X1,esk5_3(esk27_0,esk4_3(esk26_0,esk27_0,esk28_0),X1))
    | ~ element(X1,the_carrier(esk27_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_133]),c_0_129]),c_0_130])]),c_0_121]) ).

cnf(c_0_138,plain,
    ( empty_carrier(X1)
    | empty_carrier(X2)
    | is_often_in(X1,X2,X3)
    | ~ one_sorted_str(X1)
    | ~ net_str(X2,X1)
    | ~ element(X4,the_carrier(X2))
    | ~ in(apply_netmap(X1,X2,X4),X3)
    | ~ related(X2,esk4_3(X1,X2,X3),X4) ),
    i_0_15 ).

cnf(c_0_139,negated_conjecture,
    related(esk27_0,esk4_3(esk26_0,esk27_0,esk28_0),esk5_3(esk27_0,esk4_3(esk26_0,esk27_0,esk28_0),esk1_3(esk26_0,esk27_0,esk28_0))),
    inference(spm,[status(thm)],[c_0_134,c_0_133]) ).

cnf(c_0_140,negated_conjecture,
    element(esk5_3(esk27_0,esk4_3(esk26_0,esk27_0,esk28_0),esk1_3(esk26_0,esk27_0,esk28_0)),the_carrier(esk27_0)),
    inference(spm,[status(thm)],[c_0_135,c_0_133]) ).

cnf(c_0_141,negated_conjecture,
    ( in(apply_netmap(esk26_0,esk27_0,X1),esk28_0)
    | ~ related(esk27_0,esk1_3(esk26_0,esk27_0,esk28_0),X1)
    | ~ element(X1,the_carrier(esk27_0)) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_123]),c_0_119]),c_0_118])]),c_0_121]),c_0_120]) ).

cnf(c_0_142,negated_conjecture,
    related(esk27_0,esk1_3(esk26_0,esk27_0,esk28_0),esk5_3(esk27_0,esk4_3(esk26_0,esk27_0,esk28_0),esk1_3(esk26_0,esk27_0,esk28_0))),
    inference(spm,[status(thm)],[c_0_137,c_0_128]) ).

cnf(c_0_143,negated_conjecture,
    ~ in(apply_netmap(esk26_0,esk27_0,esk5_3(esk27_0,esk4_3(esk26_0,esk27_0,esk28_0),esk1_3(esk26_0,esk27_0,esk28_0))),esk28_0),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[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_138,c_0_139]),c_0_140]),c_0_119]),c_0_118])]),c_0_121]),c_0_120]),c_0_125]) ).

cnf(c_0_144,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_142]),c_0_140])]),c_0_143]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SEU376+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.11/0.33  % Computer : n010.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 600
% 0.11/0.33  % DateTime : Mon Jun 20 09:56:54 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 0.18/0.45  # ENIGMATIC: Selected complete mode:
% 8.74/2.42  # ENIGMATIC: Solved by autoschedule-lgb:
% 8.74/2.42  # No SInE strategy applied
% 8.74/2.42  # Trying AutoSched0 for 150 seconds
% 8.74/2.42  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI
% 8.74/2.42  # and selection function SelectCQArNTNpEqFirst.
% 8.74/2.42  #
% 8.74/2.42  # Preprocessing time       : 0.025 s
% 8.74/2.42  # Presaturation interreduction done
% 8.74/2.42  
% 8.74/2.42  # Proof found!
% 8.74/2.42  # SZS status Theorem
% 8.74/2.42  # SZS output start CNFRefutation
% See solution above
% 8.74/2.42  # Training examples: 0 positive, 0 negative
% 8.74/2.42  
% 8.74/2.42  # -------------------------------------------------
% 8.74/2.42  # User time                : 0.043 s
% 8.74/2.42  # System time              : 0.007 s
% 8.74/2.42  # Total time               : 0.050 s
% 8.74/2.42  # Maximum resident set size: 7124 pages
% 8.74/2.42  
%------------------------------------------------------------------------------