TSTP Solution File: SEU120+1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SEU120+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n004.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 : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 19:30:25 EDT 2023

% Result   : Timeout 0.30s 300.20s
% Output   : None 
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   18 (   4 unt;   0 def)
%            Number of atoms       :   46 (  12 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :   55 (  27   ~;  14   |;  11   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :   29 (   3 sgn;  18   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(t4_xboole_0,conjecture,
    ! [X1,X2] :
      ( ~ ( ~ disjoint(X1,X2)
          & ! [X3] : ~ in(X3,set_intersection2(X1,X2)) )
      & ~ ( ? [X3] : in(X3,set_intersection2(X1,X2))
          & disjoint(X1,X2) ) ),
    file('/export/starexec/sandbox/tmp/tmp.tjzBRnv9Uh/E---3.1_13503.p',t4_xboole_0) ).

fof(d1_xboole_0,axiom,
    ! [X1] :
      ( X1 = empty_set
    <=> ! [X2] : ~ in(X2,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.tjzBRnv9Uh/E---3.1_13503.p',d1_xboole_0) ).

fof(d7_xboole_0,axiom,
    ! [X1,X2] :
      ( disjoint(X1,X2)
    <=> set_intersection2(X1,X2) = empty_set ),
    file('/export/starexec/sandbox/tmp/tmp.tjzBRnv9Uh/E---3.1_13503.p',d7_xboole_0) ).

fof(c_0_3,negated_conjecture,
    ~ ! [X1,X2] :
        ( ~ ( ~ disjoint(X1,X2)
            & ! [X3] : ~ in(X3,set_intersection2(X1,X2)) )
        & ~ ( ? [X3] : in(X3,set_intersection2(X1,X2))
            & disjoint(X1,X2) ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t4_xboole_0])]) ).

fof(c_0_4,plain,
    ! [X1] :
      ( X1 = empty_set
    <=> ! [X2] : ~ in(X2,X1) ),
    inference(fof_simplification,[status(thm)],[d1_xboole_0]) ).

fof(c_0_5,negated_conjecture,
    ! [X6] :
      ( ( in(esk3_0,set_intersection2(esk1_0,esk2_0))
        | ~ disjoint(esk1_0,esk2_0) )
      & ( disjoint(esk1_0,esk2_0)
        | ~ disjoint(esk1_0,esk2_0) )
      & ( in(esk3_0,set_intersection2(esk1_0,esk2_0))
        | ~ in(X6,set_intersection2(esk1_0,esk2_0)) )
      & ( disjoint(esk1_0,esk2_0)
        | ~ in(X6,set_intersection2(esk1_0,esk2_0)) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])])]) ).

fof(c_0_6,plain,
    ! [X14,X15,X16] :
      ( ( X14 != empty_set
        | ~ in(X15,X14) )
      & ( in(esk4_1(X16),X16)
        | X16 = empty_set ) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])])]) ).

fof(c_0_7,plain,
    ! [X8,X9] :
      ( ( ~ disjoint(X8,X9)
        | set_intersection2(X8,X9) = empty_set )
      & ( set_intersection2(X8,X9) != empty_set
        | disjoint(X8,X9) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d7_xboole_0])]) ).

cnf(c_0_8,negated_conjecture,
    ( disjoint(esk1_0,esk2_0)
    | ~ in(X1,set_intersection2(esk1_0,esk2_0)) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_9,plain,
    ( in(esk4_1(X1),X1)
    | X1 = empty_set ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_10,plain,
    ( set_intersection2(X1,X2) = empty_set
    | ~ disjoint(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_11,plain,
    ( X1 != empty_set
    | ~ in(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_12,negated_conjecture,
    ( in(esk3_0,set_intersection2(esk1_0,esk2_0))
    | ~ disjoint(esk1_0,esk2_0) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_13,negated_conjecture,
    set_intersection2(esk1_0,esk2_0) = empty_set,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10]) ).

cnf(c_0_14,plain,
    ~ in(X1,empty_set),
    inference(er,[status(thm)],[c_0_11]) ).

cnf(c_0_15,negated_conjecture,
    ~ disjoint(esk1_0,esk2_0),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_13]),c_0_14]) ).

cnf(c_0_16,plain,
    ( disjoint(X1,X2)
    | set_intersection2(X1,X2) != empty_set ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_17,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_13])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10  % Problem    : SEU120+1 : TPTP v8.1.2. Released v3.3.0.
% 0.05/0.11  % Command    : run_E %s %d THM
% 0.11/0.31  % Computer : n004.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit   : 2400
% 0.11/0.31  % WCLimit    : 300
% 0.11/0.31  % DateTime   : Mon Oct  2 08:58:30 EDT 2023
% 0.11/0.31  % CPUTime    : 
% 0.16/0.43  Running first-order model finding
% 0.16/0.43  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.tjzBRnv9Uh/E---3.1_13503.p
% 0.30/300.20  # Version: 3.1pre001
% 0.30/300.20  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.30/300.20  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.30/300.20  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.30/300.20  # Starting new_bool_3 with 300s (1) cores
% 0.30/300.20  # Starting new_bool_1 with 300s (1) cores
% 0.30/300.20  # Starting sh5l with 300s (1) cores
% 0.30/300.20  # new_bool_3 with pid 13583 completed with status 0
% 0.30/300.20  # Result found by new_bool_3
% 0.30/300.20  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.30/300.20  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.30/300.20  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.30/300.20  # Starting new_bool_3 with 300s (1) cores
% 0.30/300.20  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.30/300.20  # Search class: FGHSS-FFSF21-SFFFFFNN
% 0.30/300.20  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.30/300.20  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.30/300.20  # SAT001_MinMin_p005000_rr_RG with pid 13586 completed with status 0
% 0.30/300.20  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.30/300.20  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.30/300.20  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.30/300.20  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.30/300.20  # Starting new_bool_3 with 300s (1) cores
% 0.30/300.20  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.30/300.20  # Search class: FGHSS-FFSF21-SFFFFFNN
% 0.30/300.20  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.30/300.20  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.30/300.20  # Preprocessing time       : 0.001 s
% 0.30/300.20  # Presaturation interreduction done
% 0.30/300.20  
% 0.30/300.20  # Proof found!
% 0.30/300.20  # SZS status Theorem
% 0.30/300.20  # SZS output start CNFRefutation
% See solution above
% 0.30/300.20  # Parsed axioms                        : 12
% 0.30/300.20  # Removed by relevancy pruning/SinE    : 2
% 0.30/300.20  # Initial clauses                      : 15
% 0.30/300.20  # Removed in clause preprocessing      : 1
% 0.30/300.20  # Initial clauses in saturation        : 14
% 0.30/300.20  # Processed clauses                    : 35
% 0.30/300.20  # ...of these trivial                  : 0
% 0.30/300.20  # ...subsumed                          : 1
% 0.30/300.20  # ...remaining for further processing  : 34
% 0.30/300.20  # Other redundant clauses eliminated   : 1
% 0.30/300.20  # Clauses deleted for lack of memory   : 0
% 0.30/300.20  # Backward-subsumed                    : 0
% 0.30/300.20  # Backward-rewritten                   : 4
% 0.30/300.20  # Generated clauses                    : 15
% 0.30/300.20  # ...of the previous two non-redundant : 13
% 0.30/300.20  # ...aggressively subsumed             : 0
% 0.30/300.20  # Contextual simplify-reflections      : 1
% 0.30/300.20  # Paramodulations                      : 14
% 0.30/300.20  # Factorizations                       : 0
% 0.30/300.20  # NegExts                              : 0
% 0.30/300.20  # Equation resolutions                 : 1
% 0.30/300.20  # Total rewrite steps                  : 8
% 0.30/300.20  # Propositional unsat checks           : 0
% 0.30/300.20  #    Propositional check models        : 0
% 0.30/300.20  #    Propositional check unsatisfiable : 0
% 0.30/300.20  #    Propositional clauses             : 0
% 0.30/300.20  #    Propositional clauses after purity: 0
% 0.30/300.20  #    Propositional unsat core size     : 0
% 0.30/300.20  #    Propositional preprocessing time  : 0.000
% 0.30/300.20  #    Propositional encoding time       : 0.000
% 0.30/300.20  #    Propositional solver time         : 0.000
% 0.30/300.20  #    Success case prop preproc time    : 0.000
% 0.30/300.20  #    Success case prop encoding time   : 0.000
% 0.30/300.20  #    Success case prop solver time     : 0.000
% 0.30/300.20  # Current number of processed clauses  : 15
% 0.30/300.20  #    Positive orientable unit clauses  : 4
% 0.30/300.20  #    Positive unorientable unit clauses: 1
% 0.30/300.20  #    Negative unit clauses             : 3
% 0.30/300.20  #    Non-unit-clauses                  : 7
% 0.30/300.20  # Current number of unprocessed clauses: 6
% 0.30/300.20  # ...number of literals in the above   : 11
% 0.30/300.20  # Current number of archived formulas  : 0
% 0.30/300.20  # Current number of archived clauses   : 18
% 0.30/300.20  # Clause-clause subsumption calls (NU) : 11
% 0.30/300.20  # Rec. Clause-clause subsumption calls : 10
% 0.30/300.20  # Non-unit clause-clause subsumptions  : 2
% 0.30/300.20  # Unit Clause-clause subsumption calls : 8
% 0.30/300.20  # Rewrite failures with RHS unbound    : 0
% 0.30/300.20  # BW rewrite match attempts            : 15
% 0.30/300.20  # BW rewrite match successes           : 13
% 0.30/300.20  # Condensation attempts                : 0
% 0.30/300.20  # Condensation successes               : 0
% 0.30/300.20  # Termbank termtop insertions          : 758
% 0.30/300.20  
% 0.30/300.20  # -------------------------------------------------
% 0.30/300.20  # User time                : 0.005 s
% 0.30/300.20  # System time              : 0.001 s
% 0.30/300.20  # Total time               : 0.006 s
% 0.30/300.20  # Maximum resident set size: 1764 pages
% 0.30/300.20  
% 0.30/300.20  # -------------------------------------------------
% 0.30/300.20  # User time                : 0.005 s
% 0.30/300.20  # System time              : 0.004 s
% 0.30/300.20  # Total time               : 0.009 s
% 0.30/300.20  # Maximum resident set size: 1672 pages
% 0.30/300.20  % E---3.1 exiting
%------------------------------------------------------------------------------