TSTP Solution File: SEU062+1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SEU062+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n012.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 19:30:18 EDT 2023

% Result   : Timeout 0.29s 300.14s
% Output   : None 
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   17 (   3 unt;   0 def)
%            Number of atoms       :   49 (   9 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :   52 (  20   ~;  17   |;   7   &)
%                                         (   2 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-2 aty)
%            Number of variables   :   29 (   0 sgn;  19   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(t143_funct_1,conjecture,
    ! [X1,X2] :
      ( relation(X2)
     => ( ! [X3] :
            ~ ( in(X3,X1)
              & relation_inverse_image(X2,singleton(X3)) = empty_set )
       => subset(X1,relation_rng(X2)) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.c7MgZxICvN/E---3.1_15729.p',t143_funct_1) ).

fof(t142_funct_1,axiom,
    ! [X1,X2] :
      ( relation(X2)
     => ( in(X1,relation_rng(X2))
      <=> relation_inverse_image(X2,singleton(X1)) != empty_set ) ),
    file('/export/starexec/sandbox2/tmp/tmp.c7MgZxICvN/E---3.1_15729.p',t142_funct_1) ).

fof(d3_tarski,axiom,
    ! [X1,X2] :
      ( subset(X1,X2)
    <=> ! [X3] :
          ( in(X3,X1)
         => in(X3,X2) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.c7MgZxICvN/E---3.1_15729.p',d3_tarski) ).

fof(c_0_3,negated_conjecture,
    ~ ! [X1,X2] :
        ( relation(X2)
       => ( ! [X3] :
              ~ ( in(X3,X1)
                & relation_inverse_image(X2,singleton(X3)) = empty_set )
         => subset(X1,relation_rng(X2)) ) ),
    inference(assume_negation,[status(cth)],[t143_funct_1]) ).

fof(c_0_4,plain,
    ! [X19,X20] :
      ( ( ~ in(X19,relation_rng(X20))
        | relation_inverse_image(X20,singleton(X19)) != empty_set
        | ~ relation(X20) )
      & ( relation_inverse_image(X20,singleton(X19)) = empty_set
        | in(X19,relation_rng(X20))
        | ~ relation(X20) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t142_funct_1])])]) ).

fof(c_0_5,negated_conjecture,
    ! [X6] :
      ( relation(esk2_0)
      & ( ~ in(X6,esk1_0)
        | relation_inverse_image(esk2_0,singleton(X6)) != empty_set )
      & ~ subset(esk1_0,relation_rng(esk2_0)) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])]) ).

cnf(c_0_6,plain,
    ( relation_inverse_image(X1,singleton(X2)) = empty_set
    | in(X2,relation_rng(X1))
    | ~ relation(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7,negated_conjecture,
    relation(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_8,negated_conjecture,
    ( ~ in(X1,esk1_0)
    | relation_inverse_image(esk2_0,singleton(X1)) != empty_set ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_9,negated_conjecture,
    ( relation_inverse_image(esk2_0,singleton(X1)) = empty_set
    | in(X1,relation_rng(esk2_0)) ),
    inference(spm,[status(thm)],[c_0_6,c_0_7]) ).

fof(c_0_10,plain,
    ! [X7,X8,X9,X10,X11] :
      ( ( ~ subset(X7,X8)
        | ~ in(X9,X7)
        | in(X9,X8) )
      & ( in(esk3_2(X10,X11),X10)
        | subset(X10,X11) )
      & ( ~ in(esk3_2(X10,X11),X11)
        | subset(X10,X11) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d3_tarski])])])])])]) ).

cnf(c_0_11,negated_conjecture,
    ( in(X1,relation_rng(esk2_0))
    | ~ in(X1,esk1_0) ),
    inference(spm,[status(thm)],[c_0_8,c_0_9]) ).

cnf(c_0_12,plain,
    ( in(esk3_2(X1,X2),X1)
    | subset(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_13,plain,
    ( subset(X1,X2)
    | ~ in(esk3_2(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_14,negated_conjecture,
    ( subset(esk1_0,X1)
    | in(esk3_2(esk1_0,X1),relation_rng(esk2_0)) ),
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_15,negated_conjecture,
    ~ subset(esk1_0,relation_rng(esk2_0)),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_16,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.10  % Problem    : SEU062+1 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.10  % Command    : run_E %s %d THM
% 0.10/0.31  % Computer : n012.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 2400
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Mon Oct  2 09:02:35 EDT 2023
% 0.10/0.31  % CPUTime    : 
% 0.16/0.41  Running first-order model finding
% 0.16/0.41  Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.c7MgZxICvN/E---3.1_15729.p
% 0.29/300.14  # Version: 3.1pre001
% 0.29/300.14  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.29/300.14  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.29/300.14  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.29/300.14  # Starting new_bool_3 with 300s (1) cores
% 0.29/300.14  # Starting new_bool_1 with 300s (1) cores
% 0.29/300.14  # Starting sh5l with 300s (1) cores
% 0.29/300.14  # new_bool_1 with pid 15812 completed with status 0
% 0.29/300.14  # Result found by new_bool_1
% 0.29/300.14  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.29/300.14  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.29/300.14  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.29/300.14  # Starting new_bool_3 with 300s (1) cores
% 0.29/300.14  # Starting new_bool_1 with 300s (1) cores
% 0.29/300.14  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.29/300.14  # Search class: FGHSM-FFMM21-SFFFFFNN
% 0.29/300.14  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.29/300.14  # Starting G-E--_200_B02_F1_SE_CS_SP_PI_S0S with 163s (1) cores
% 0.29/300.14  # G-E--_200_B02_F1_SE_CS_SP_PI_S0S with pid 15815 completed with status 0
% 0.29/300.14  # Result found by G-E--_200_B02_F1_SE_CS_SP_PI_S0S
% 0.29/300.14  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.29/300.14  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.29/300.14  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.29/300.14  # Starting new_bool_3 with 300s (1) cores
% 0.29/300.14  # Starting new_bool_1 with 300s (1) cores
% 0.29/300.14  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.29/300.14  # Search class: FGHSM-FFMM21-SFFFFFNN
% 0.29/300.14  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.29/300.14  # Starting G-E--_200_B02_F1_SE_CS_SP_PI_S0S with 163s (1) cores
% 0.29/300.14  # Preprocessing time       : 0.001 s
% 0.29/300.14  
% 0.29/300.14  # Proof found!
% 0.29/300.14  # SZS status Theorem
% 0.29/300.14  # SZS output start CNFRefutation
% See solution above
% 0.29/300.14  # Parsed axioms                        : 34
% 0.29/300.14  # Removed by relevancy pruning/SinE    : 7
% 0.29/300.14  # Initial clauses                      : 39
% 0.29/300.14  # Removed in clause preprocessing      : 0
% 0.29/300.14  # Initial clauses in saturation        : 39
% 0.29/300.14  # Processed clauses                    : 77
% 0.29/300.14  # ...of these trivial                  : 2
% 0.29/300.14  # ...subsumed                          : 5
% 0.29/300.14  # ...remaining for further processing  : 70
% 0.29/300.14  # Other redundant clauses eliminated   : 0
% 0.29/300.14  # Clauses deleted for lack of memory   : 0
% 0.29/300.14  # Backward-subsumed                    : 0
% 0.29/300.14  # Backward-rewritten                   : 8
% 0.29/300.14  # Generated clauses                    : 93
% 0.29/300.14  # ...of the previous two non-redundant : 72
% 0.29/300.14  # ...aggressively subsumed             : 0
% 0.29/300.14  # Contextual simplify-reflections      : 0
% 0.29/300.14  # Paramodulations                      : 93
% 0.29/300.14  # Factorizations                       : 0
% 0.29/300.14  # NegExts                              : 0
% 0.29/300.14  # Equation resolutions                 : 0
% 0.29/300.14  # Total rewrite steps                  : 40
% 0.29/300.14  # Propositional unsat checks           : 0
% 0.29/300.14  #    Propositional check models        : 0
% 0.29/300.14  #    Propositional check unsatisfiable : 0
% 0.29/300.14  #    Propositional clauses             : 0
% 0.29/300.14  #    Propositional clauses after purity: 0
% 0.29/300.14  #    Propositional unsat core size     : 0
% 0.29/300.14  #    Propositional preprocessing time  : 0.000
% 0.29/300.14  #    Propositional encoding time       : 0.000
% 0.29/300.14  #    Propositional solver time         : 0.000
% 0.29/300.14  #    Success case prop preproc time    : 0.000
% 0.29/300.14  #    Success case prop encoding time   : 0.000
% 0.29/300.14  #    Success case prop solver time     : 0.000
% 0.29/300.14  # Current number of processed clauses  : 62
% 0.29/300.14  #    Positive orientable unit clauses  : 19
% 0.29/300.14  #    Positive unorientable unit clauses: 0
% 0.29/300.14  #    Negative unit clauses             : 8
% 0.29/300.14  #    Non-unit-clauses                  : 35
% 0.29/300.14  # Current number of unprocessed clauses: 12
% 0.29/300.14  # ...number of literals in the above   : 25
% 0.29/300.14  # Current number of archived formulas  : 0
% 0.29/300.14  # Current number of archived clauses   : 8
% 0.29/300.14  # Clause-clause subsumption calls (NU) : 82
% 0.29/300.14  # Rec. Clause-clause subsumption calls : 60
% 0.29/300.14  # Non-unit clause-clause subsumptions  : 2
% 0.29/300.14  # Unit Clause-clause subsumption calls : 16
% 0.29/300.14  # Rewrite failures with RHS unbound    : 0
% 0.29/300.14  # BW rewrite match attempts            : 13
% 0.29/300.14  # BW rewrite match successes           : 5
% 0.29/300.14  # Condensation attempts                : 0
% 0.29/300.14  # Condensation successes               : 0
% 0.29/300.14  # Termbank termtop insertions          : 2657
% 0.29/300.14  
% 0.29/300.14  # -------------------------------------------------
% 0.29/300.14  # User time                : 0.008 s
% 0.29/300.14  # System time              : 0.001 s
% 0.29/300.14  # Total time               : 0.009 s
% 0.29/300.14  # Maximum resident set size: 1840 pages
% 0.29/300.14  
% 0.29/300.14  # -------------------------------------------------
% 0.29/300.14  # User time                : 0.011 s
% 0.29/300.14  # System time              : 0.001 s
% 0.29/300.14  # Total time               : 0.012 s
% 0.29/300.14  # Maximum resident set size: 1696 pages
% 0.29/300.14  % E---3.1 exiting
%------------------------------------------------------------------------------