TSTP Solution File: COM144+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : COM144+1 : TPTP v8.1.0. Released v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n008.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 : Fri Jul 15 01:14:34 EDT 2022

% Result   : Theorem 0.22s 1.41s
% Output   : CNFRefutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   14 (   7 unt;   0 def)
%            Number of atoms       :   27 (  20 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   24 (  11   ~;   5   |;   4   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   7 con; 0-3 aty)
%            Number of variables   :   35 (  10 sgn  22   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof('T-Preservation-T-abs',conjecture,
    ! [X9,X10,X20,X35,X15] :
      ( ( vreduce(vabs(X9,X10,ve1)) = vsomeExp(X35)
        & vtcheck(X20,vabs(X9,X10,ve1),X15) )
     => vtcheck(X20,X35,X15) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in','T-Preservation-T-abs') ).

fof(reduce1,axiom,
    ! [X9,X10,X11,X4,X19] :
      ( X4 = vabs(X9,X10,X11)
     => ( X19 = vreduce(X4)
       => X19 = vnoExp ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',reduce1) ).

fof('DIFF-noExp-someExp',axiom,
    ! [X4] : vnoExp != vsomeExp(X4),
    file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','DIFF-noExp-someExp') ).

fof(c_0_3,negated_conjecture,
    ~ ! [X9,X10,X20,X35,X15] :
        ( ( vreduce(vabs(X9,X10,ve1)) = vsomeExp(X35)
          & vtcheck(X20,vabs(X9,X10,ve1),X15) )
       => vtcheck(X20,X35,X15) ),
    inference(assume_negation,[status(cth)],['T-Preservation-T-abs']) ).

fof(c_0_4,plain,
    ! [X20,X21,X22,X23,X24] :
      ( X23 != vabs(X20,X21,X22)
      | X24 != vreduce(X23)
      | X24 = vnoExp ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[reduce1])])])]) ).

fof(c_0_5,plain,
    ! [X5] : vnoExp != vsomeExp(X5),
    inference(variable_rename,[status(thm)],['DIFF-noExp-someExp']) ).

fof(c_0_6,negated_conjecture,
    ( vreduce(vabs(esk1_0,esk2_0,ve1)) = vsomeExp(esk4_0)
    & vtcheck(esk3_0,vabs(esk1_0,esk2_0,ve1),esk5_0)
    & ~ vtcheck(esk3_0,esk4_0,esk5_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])]) ).

cnf(c_0_7,plain,
    ( X1 = vnoExp
    | X1 != vreduce(X2)
    | X2 != vabs(X3,X4,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_8,plain,
    vnoExp != vsomeExp(X1),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_9,negated_conjecture,
    vreduce(vabs(esk1_0,esk2_0,ve1)) = vsomeExp(esk4_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_10,plain,
    ( X1 = vnoExp
    | X1 != vreduce(vabs(X2,X3,X4)) ),
    inference(er,[status(thm)],[c_0_7]) ).

cnf(c_0_11,negated_conjecture,
    vreduce(vabs(esk1_0,esk2_0,ve1)) != vnoExp,
    inference(spm,[status(thm)],[c_0_8,c_0_9]) ).

cnf(c_0_12,plain,
    vreduce(vabs(X1,X2,X3)) = vnoExp,
    inference(er,[status(thm)],[c_0_10]) ).

cnf(c_0_13,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_12])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : COM144+1 : TPTP v8.1.0. Released v6.4.0.
% 0.11/0.12  % Command  : run_ET %s %d
% 0.12/0.34  % Computer : n008.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Thu Jun 16 19:17:52 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.22/1.41  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.22/1.41  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.22/1.41  # Preprocessing time       : 0.020 s
% 0.22/1.41  
% 0.22/1.41  # Proof found!
% 0.22/1.41  # SZS status Theorem
% 0.22/1.41  # SZS output start CNFRefutation
% See solution above
% 0.22/1.41  # Proof object total steps             : 14
% 0.22/1.41  # Proof object clause steps            : 7
% 0.22/1.41  # Proof object formula steps           : 7
% 0.22/1.41  # Proof object conjectures             : 6
% 0.22/1.41  # Proof object clause conjectures      : 3
% 0.22/1.41  # Proof object formula conjectures     : 3
% 0.22/1.41  # Proof object initial clauses used    : 3
% 0.22/1.41  # Proof object initial formulas used   : 3
% 0.22/1.41  # Proof object generating inferences   : 3
% 0.22/1.41  # Proof object simplifying inferences  : 2
% 0.22/1.41  # Training examples: 0 positive, 0 negative
% 0.22/1.41  # Parsed axioms                        : 60
% 0.22/1.41  # Removed by relevancy pruning/SinE    : 25
% 0.22/1.41  # Initial clauses                      : 52
% 0.22/1.41  # Removed in clause preprocessing      : 6
% 0.22/1.41  # Initial clauses in saturation        : 46
% 0.22/1.41  # Processed clauses                    : 59
% 0.22/1.41  # ...of these trivial                  : 0
% 0.22/1.41  # ...subsumed                          : 3
% 0.22/1.41  # ...remaining for further processing  : 56
% 0.22/1.41  # Other redundant clauses eliminated   : 23
% 0.22/1.41  # Clauses deleted for lack of memory   : 0
% 0.22/1.41  # Backward-subsumed                    : 0
% 0.22/1.41  # Backward-rewritten                   : 7
% 0.22/1.41  # Generated clauses                    : 49
% 0.22/1.41  # ...of the previous two non-trivial   : 38
% 0.22/1.41  # Contextual simplify-reflections      : 0
% 0.22/1.41  # Paramodulations                      : 14
% 0.22/1.41  # Factorizations                       : 0
% 0.22/1.41  # Equation resolutions                 : 44
% 0.22/1.41  # Current number of processed clauses  : 35
% 0.22/1.41  #    Positive orientable unit clauses  : 5
% 0.22/1.41  #    Positive unorientable unit clauses: 0
% 0.22/1.41  #    Negative unit clauses             : 5
% 0.22/1.41  #    Non-unit-clauses                  : 25
% 0.22/1.41  # Current number of unprocessed clauses: 24
% 0.22/1.41  # ...number of literals in the above   : 76
% 0.22/1.41  # Current number of archived formulas  : 0
% 0.22/1.41  # Current number of archived clauses   : 7
% 0.22/1.41  # Clause-clause subsumption calls (NU) : 275
% 0.22/1.41  # Rec. Clause-clause subsumption calls : 97
% 0.22/1.41  # Non-unit clause-clause subsumptions  : 1
% 0.22/1.41  # Unit Clause-clause subsumption calls : 20
% 0.22/1.41  # Rewrite failures with RHS unbound    : 0
% 0.22/1.41  # BW rewrite match attempts            : 3
% 0.22/1.41  # BW rewrite match successes           : 3
% 0.22/1.41  # Condensation attempts                : 0
% 0.22/1.41  # Condensation successes               : 0
% 0.22/1.41  # Termbank termtop insertions          : 4870
% 0.22/1.41  
% 0.22/1.41  # -------------------------------------------------
% 0.22/1.41  # User time                : 0.021 s
% 0.22/1.41  # System time              : 0.002 s
% 0.22/1.41  # Total time               : 0.023 s
% 0.22/1.41  # Maximum resident set size: 3160 pages
%------------------------------------------------------------------------------