TSTP Solution File: SEU264+2 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : SEU264+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n005.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  : 300s
% DateTime : Sat May  4 09:25:56 EDT 2024

% Result   : Theorem 0.22s 0.58s
% Output   : CNFRefutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   20 (   6 unt;   0 def)
%            Number of atoms       :   46 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   43 (  17   ~;  13   |;   5   &)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-1 aty)
%            Number of variables   :   40 (   2 sgn  28   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(t16_relset_1,conjecture,
    ! [X1,X2,X3,X4] :
      ( relation_of2_as_subset(X4,X3,X1)
     => ( subset(X1,X2)
       => relation_of2_as_subset(X4,X3,X2) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.ZoqluBeb2O/E---3.1_5220.p',t16_relset_1) ).

fof(t14_relset_1,lemma,
    ! [X1,X2,X3,X4] :
      ( relation_of2_as_subset(X4,X3,X1)
     => ( subset(relation_rng(X4),X2)
       => relation_of2_as_subset(X4,X3,X2) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.ZoqluBeb2O/E---3.1_5220.p',t14_relset_1) ).

fof(t1_xboole_1,lemma,
    ! [X1,X2,X3] :
      ( ( subset(X1,X2)
        & subset(X2,X3) )
     => subset(X1,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.ZoqluBeb2O/E---3.1_5220.p',t1_xboole_1) ).

fof(t12_relset_1,lemma,
    ! [X1,X2,X3] :
      ( relation_of2_as_subset(X3,X1,X2)
     => ( subset(relation_dom(X3),X1)
        & subset(relation_rng(X3),X2) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.ZoqluBeb2O/E---3.1_5220.p',t12_relset_1) ).

fof(c_0_4,negated_conjecture,
    ~ ! [X1,X2,X3,X4] :
        ( relation_of2_as_subset(X4,X3,X1)
       => ( subset(X1,X2)
         => relation_of2_as_subset(X4,X3,X2) ) ),
    inference(assume_negation,[status(cth)],[t16_relset_1]) ).

fof(c_0_5,lemma,
    ! [X20,X21,X22,X23] :
      ( ~ relation_of2_as_subset(X23,X22,X20)
      | ~ subset(relation_rng(X23),X21)
      | relation_of2_as_subset(X23,X22,X21) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t14_relset_1])])]) ).

fof(c_0_6,negated_conjecture,
    ( relation_of2_as_subset(esk4_0,esk3_0,esk1_0)
    & subset(esk1_0,esk2_0)
    & ~ relation_of2_as_subset(esk4_0,esk3_0,esk2_0) ),
    inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])]) ).

cnf(c_0_7,lemma,
    ( relation_of2_as_subset(X1,X2,X4)
    | ~ relation_of2_as_subset(X1,X2,X3)
    | ~ subset(relation_rng(X1),X4) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_8,negated_conjecture,
    relation_of2_as_subset(esk4_0,esk3_0,esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

fof(c_0_9,lemma,
    ! [X33,X34,X35] :
      ( ~ subset(X33,X34)
      | ~ subset(X34,X35)
      | subset(X33,X35) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_xboole_1])])]) ).

fof(c_0_10,lemma,
    ! [X17,X18,X19] :
      ( ( subset(relation_dom(X19),X17)
        | ~ relation_of2_as_subset(X19,X17,X18) )
      & ( subset(relation_rng(X19),X18)
        | ~ relation_of2_as_subset(X19,X17,X18) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t12_relset_1])])])]) ).

cnf(c_0_11,negated_conjecture,
    ~ relation_of2_as_subset(esk4_0,esk3_0,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_12,negated_conjecture,
    ( relation_of2_as_subset(esk4_0,esk3_0,X1)
    | ~ subset(relation_rng(esk4_0),X1) ),
    inference(spm,[status(thm)],[c_0_7,c_0_8]) ).

cnf(c_0_13,lemma,
    ( subset(X1,X3)
    | ~ subset(X1,X2)
    | ~ subset(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_14,negated_conjecture,
    subset(esk1_0,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_15,lemma,
    ( subset(relation_rng(X1),X2)
    | ~ relation_of2_as_subset(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_16,negated_conjecture,
    ~ subset(relation_rng(esk4_0),esk2_0),
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_17,negated_conjecture,
    ( subset(X1,esk2_0)
    | ~ subset(X1,esk1_0) ),
    inference(spm,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_18,negated_conjecture,
    subset(relation_rng(esk4_0),esk1_0),
    inference(spm,[status(thm)],[c_0_15,c_0_8]) ).

cnf(c_0_19,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.14  % Problem    : SEU264+2 : TPTP v8.1.2. Released v3.3.0.
% 0.10/0.16  % Command    : run_E %s %d THM
% 0.16/0.36  % Computer : n005.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Fri May  3 08:02:41 EDT 2024
% 0.16/0.36  % CPUTime    : 
% 0.22/0.52  Running first-order theorem proving
% 0.22/0.52  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.ZoqluBeb2O/E---3.1_5220.p
% 0.22/0.57  # Version: 3.1.0
% 0.22/0.57  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.22/0.57  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.57  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.22/0.57  # Starting new_bool_3 with 300s (1) cores
% 0.22/0.57  # Starting new_bool_1 with 300s (1) cores
% 0.22/0.57  # Starting sh5l with 300s (1) cores
% 0.22/0.57  # new_bool_1 with pid 5300 completed with status 0
% 0.22/0.57  # Result found by new_bool_1
% 0.22/0.57  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.22/0.57  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.57  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.22/0.57  # Starting new_bool_3 with 300s (1) cores
% 0.22/0.57  # Starting new_bool_1 with 300s (1) cores
% 0.22/0.57  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.22/0.57  # Search class: FGHSM-FFLM32-SFFFFFNN
% 0.22/0.57  # partial match(1): FGHSM-FFMM32-SFFFFFNN
% 0.22/0.57  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.22/0.57  # Starting G-E--_301_C18_F1_URBAN_S0Y with 139s (1) cores
% 0.22/0.57  # G-E--_301_C18_F1_URBAN_S0Y with pid 5303 completed with status 0
% 0.22/0.57  # Result found by G-E--_301_C18_F1_URBAN_S0Y
% 0.22/0.58  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.22/0.58  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.58  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.22/0.58  # Starting new_bool_3 with 300s (1) cores
% 0.22/0.58  # Starting new_bool_1 with 300s (1) cores
% 0.22/0.58  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.22/0.58  # Search class: FGHSM-FFLM32-SFFFFFNN
% 0.22/0.58  # partial match(1): FGHSM-FFMM32-SFFFFFNN
% 0.22/0.58  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.22/0.58  # Starting G-E--_301_C18_F1_URBAN_S0Y with 139s (1) cores
% 0.22/0.58  # Preprocessing time       : 0.004 s
% 0.22/0.58  
% 0.22/0.58  # Proof found!
% 0.22/0.58  # SZS status Theorem
% 0.22/0.58  # SZS output start CNFRefutation
% See solution above
% 0.22/0.58  # Parsed axioms                        : 331
% 0.22/0.58  # Removed by relevancy pruning/SinE    : 245
% 0.22/0.58  # Initial clauses                      : 156
% 0.22/0.58  # Removed in clause preprocessing      : 2
% 0.22/0.58  # Initial clauses in saturation        : 154
% 0.22/0.58  # Processed clauses                    : 205
% 0.22/0.58  # ...of these trivial                  : 3
% 0.22/0.58  # ...subsumed                          : 23
% 0.22/0.58  # ...remaining for further processing  : 179
% 0.22/0.58  # Other redundant clauses eliminated   : 8
% 0.22/0.58  # Clauses deleted for lack of memory   : 0
% 0.22/0.58  # Backward-subsumed                    : 0
% 0.22/0.58  # Backward-rewritten                   : 9
% 0.22/0.58  # Generated clauses                    : 837
% 0.22/0.58  # ...of the previous two non-redundant : 742
% 0.22/0.58  # ...aggressively subsumed             : 0
% 0.22/0.58  # Contextual simplify-reflections      : 1
% 0.22/0.58  # Paramodulations                      : 814
% 0.22/0.58  # Factorizations                       : 6
% 0.22/0.58  # NegExts                              : 0
% 0.22/0.58  # Equation resolutions                 : 17
% 0.22/0.58  # Disequality decompositions           : 0
% 0.22/0.58  # Total rewrite steps                  : 104
% 0.22/0.58  # ...of those cached                   : 76
% 0.22/0.58  # Propositional unsat checks           : 0
% 0.22/0.58  #    Propositional check models        : 0
% 0.22/0.58  #    Propositional check unsatisfiable : 0
% 0.22/0.58  #    Propositional clauses             : 0
% 0.22/0.58  #    Propositional clauses after purity: 0
% 0.22/0.58  #    Propositional unsat core size     : 0
% 0.22/0.58  #    Propositional preprocessing time  : 0.000
% 0.22/0.58  #    Propositional encoding time       : 0.000
% 0.22/0.58  #    Propositional solver time         : 0.000
% 0.22/0.58  #    Success case prop preproc time    : 0.000
% 0.22/0.58  #    Success case prop encoding time   : 0.000
% 0.22/0.58  #    Success case prop solver time     : 0.000
% 0.22/0.58  # Current number of processed clauses  : 168
% 0.22/0.58  #    Positive orientable unit clauses  : 25
% 0.22/0.58  #    Positive unorientable unit clauses: 1
% 0.22/0.58  #    Negative unit clauses             : 7
% 0.22/0.58  #    Non-unit-clauses                  : 135
% 0.22/0.58  # Current number of unprocessed clauses: 684
% 0.22/0.58  # ...number of literals in the above   : 2478
% 0.22/0.58  # Current number of archived formulas  : 0
% 0.22/0.58  # Current number of archived clauses   : 9
% 0.22/0.58  # Clause-clause subsumption calls (NU) : 1816
% 0.22/0.58  # Rec. Clause-clause subsumption calls : 1186
% 0.22/0.58  # Non-unit clause-clause subsumptions  : 20
% 0.22/0.58  # Unit Clause-clause subsumption calls : 132
% 0.22/0.58  # Rewrite failures with RHS unbound    : 0
% 0.22/0.58  # BW rewrite match attempts            : 18
% 0.22/0.58  # BW rewrite match successes           : 10
% 0.22/0.58  # Condensation attempts                : 0
% 0.22/0.58  # Condensation successes               : 0
% 0.22/0.58  # Termbank termtop insertions          : 22176
% 0.22/0.58  # Search garbage collected termcells   : 4174
% 0.22/0.58  
% 0.22/0.58  # -------------------------------------------------
% 0.22/0.58  # User time                : 0.036 s
% 0.22/0.58  # System time              : 0.005 s
% 0.22/0.58  # Total time               : 0.041 s
% 0.22/0.58  # Maximum resident set size: 2552 pages
% 0.22/0.58  
% 0.22/0.58  # -------------------------------------------------
% 0.22/0.58  # User time                : 0.046 s
% 0.22/0.58  # System time              : 0.006 s
% 0.22/0.58  # Total time               : 0.052 s
% 0.22/0.58  # Maximum resident set size: 2060 pages
% 0.22/0.58  % E---3.1 exiting
% 0.22/0.58  % E exiting
%------------------------------------------------------------------------------