TSTP Solution File: SEU085+1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SEU085+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n023.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 19:30:21 EDT 2023

% Result   : Theorem 0.19s 0.49s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   10 (   4 unt;   0 def)
%            Number of atoms       :   16 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   11 (   5   ~;   2   |;   1   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :   11 (   2 sgn;   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(t16_finset_1,conjecture,
    ! [X1,X2] :
      ( finite(X1)
     => finite(set_difference(X1,X2)) ),
    file('/export/starexec/sandbox/tmp/tmp.WEit8khGIu/E---3.1_18524.p',t16_finset_1) ).

fof(fc12_finset_1,axiom,
    ! [X1,X2] :
      ( finite(X1)
     => finite(set_difference(X1,X2)) ),
    file('/export/starexec/sandbox/tmp/tmp.WEit8khGIu/E---3.1_18524.p',fc12_finset_1) ).

fof(c_0_2,negated_conjecture,
    ~ ! [X1,X2] :
        ( finite(X1)
       => finite(set_difference(X1,X2)) ),
    inference(assume_negation,[status(cth)],[t16_finset_1]) ).

fof(c_0_3,plain,
    ! [X9,X10] :
      ( ~ finite(X9)
      | finite(set_difference(X9,X10)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc12_finset_1])]) ).

fof(c_0_4,negated_conjecture,
    ( finite(esk1_0)
    & ~ finite(set_difference(esk1_0,esk2_0)) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])]) ).

cnf(c_0_5,plain,
    ( finite(set_difference(X1,X2))
    | ~ finite(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_6,negated_conjecture,
    finite(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7,negated_conjecture,
    ~ finite(set_difference(esk1_0,esk2_0)),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_8,negated_conjecture,
    finite(set_difference(esk1_0,X1)),
    inference(spm,[status(thm)],[c_0_5,c_0_6]) ).

cnf(c_0_9,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_7,c_0_8])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SEU085+1 : TPTP v8.1.2. Released v3.2.0.
% 0.12/0.13  % Command    : run_E %s %d THM
% 0.13/0.34  % Computer : n023.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   : 2400
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon Oct  2 09:28:22 EDT 2023
% 0.13/0.34  % CPUTime    : 
% 0.19/0.47  Running first-order model finding
% 0.19/0.47  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.WEit8khGIu/E---3.1_18524.p
% 0.19/0.49  # Version: 3.1pre001
% 0.19/0.49  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.19/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.49  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.19/0.49  # Starting new_bool_3 with 300s (1) cores
% 0.19/0.49  # Starting new_bool_1 with 300s (1) cores
% 0.19/0.49  # Starting sh5l with 300s (1) cores
% 0.19/0.49  # new_bool_3 with pid 18604 completed with status 0
% 0.19/0.49  # Result found by new_bool_3
% 0.19/0.49  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.19/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.49  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.19/0.49  # Starting new_bool_3 with 300s (1) cores
% 0.19/0.49  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.19/0.49  # Search class: FGHSM-FFMM21-SFFFFFNN
% 0.19/0.49  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.49  # Starting G-E--_200_B02_F1_SE_CS_SP_PI_S0S with 163s (1) cores
% 0.19/0.49  # G-E--_200_B02_F1_SE_CS_SP_PI_S0S with pid 18607 completed with status 0
% 0.19/0.49  # Result found by G-E--_200_B02_F1_SE_CS_SP_PI_S0S
% 0.19/0.49  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.19/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.49  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.19/0.49  # Starting new_bool_3 with 300s (1) cores
% 0.19/0.49  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.19/0.49  # Search class: FGHSM-FFMM21-SFFFFFNN
% 0.19/0.49  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.49  # Starting G-E--_200_B02_F1_SE_CS_SP_PI_S0S with 163s (1) cores
% 0.19/0.49  # Preprocessing time       : 0.002 s
% 0.19/0.49  
% 0.19/0.49  # Proof found!
% 0.19/0.49  # SZS status Theorem
% 0.19/0.49  # SZS output start CNFRefutation
% See solution above
% 0.19/0.49  # Parsed axioms                        : 60
% 0.19/0.49  # Removed by relevancy pruning/SinE    : 19
% 0.19/0.49  # Initial clauses                      : 64
% 0.19/0.49  # Removed in clause preprocessing      : 0
% 0.19/0.49  # Initial clauses in saturation        : 64
% 0.19/0.49  # Processed clauses                    : 78
% 0.19/0.49  # ...of these trivial                  : 1
% 0.19/0.49  # ...subsumed                          : 2
% 0.19/0.49  # ...remaining for further processing  : 75
% 0.19/0.49  # Other redundant clauses eliminated   : 0
% 0.19/0.49  # Clauses deleted for lack of memory   : 0
% 0.19/0.49  # Backward-subsumed                    : 0
% 0.19/0.49  # Backward-rewritten                   : 1
% 0.19/0.49  # Generated clauses                    : 106
% 0.19/0.49  # ...of the previous two non-redundant : 86
% 0.19/0.49  # ...aggressively subsumed             : 0
% 0.19/0.49  # Contextual simplify-reflections      : 0
% 0.19/0.49  # Paramodulations                      : 106
% 0.19/0.49  # Factorizations                       : 0
% 0.19/0.49  # NegExts                              : 0
% 0.19/0.49  # Equation resolutions                 : 0
% 0.19/0.49  # Total rewrite steps                  : 20
% 0.19/0.49  # Propositional unsat checks           : 0
% 0.19/0.49  #    Propositional check models        : 0
% 0.19/0.49  #    Propositional check unsatisfiable : 0
% 0.19/0.49  #    Propositional clauses             : 0
% 0.19/0.49  #    Propositional clauses after purity: 0
% 0.19/0.49  #    Propositional unsat core size     : 0
% 0.19/0.49  #    Propositional preprocessing time  : 0.000
% 0.19/0.49  #    Propositional encoding time       : 0.000
% 0.19/0.49  #    Propositional solver time         : 0.000
% 0.19/0.49  #    Success case prop preproc time    : 0.000
% 0.19/0.49  #    Success case prop encoding time   : 0.000
% 0.19/0.49  #    Success case prop solver time     : 0.000
% 0.19/0.49  # Current number of processed clauses  : 74
% 0.19/0.49  #    Positive orientable unit clauses  : 32
% 0.19/0.49  #    Positive unorientable unit clauses: 0
% 0.19/0.49  #    Negative unit clauses             : 6
% 0.19/0.49  #    Non-unit-clauses                  : 36
% 0.19/0.49  # Current number of unprocessed clauses: 72
% 0.19/0.49  # ...number of literals in the above   : 120
% 0.19/0.49  # Current number of archived formulas  : 0
% 0.19/0.49  # Current number of archived clauses   : 1
% 0.19/0.49  # Clause-clause subsumption calls (NU) : 151
% 0.19/0.49  # Rec. Clause-clause subsumption calls : 146
% 0.19/0.49  # Non-unit clause-clause subsumptions  : 0
% 0.19/0.49  # Unit Clause-clause subsumption calls : 29
% 0.19/0.49  # Rewrite failures with RHS unbound    : 0
% 0.19/0.49  # BW rewrite match attempts            : 1
% 0.19/0.49  # BW rewrite match successes           : 1
% 0.19/0.49  # Condensation attempts                : 0
% 0.19/0.49  # Condensation successes               : 0
% 0.19/0.49  # Termbank termtop insertions          : 3394
% 0.19/0.49  
% 0.19/0.49  # -------------------------------------------------
% 0.19/0.49  # User time                : 0.009 s
% 0.19/0.49  # System time              : 0.001 s
% 0.19/0.49  # Total time               : 0.010 s
% 0.19/0.49  # Maximum resident set size: 1908 pages
% 0.19/0.49  
% 0.19/0.49  # -------------------------------------------------
% 0.19/0.49  # User time                : 0.010 s
% 0.19/0.49  # System time              : 0.003 s
% 0.19/0.49  # Total time               : 0.014 s
% 0.19/0.49  # Maximum resident set size: 1720 pages
% 0.19/0.49  % E---3.1 exiting
%------------------------------------------------------------------------------