TSTP Solution File: ITP018+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : ITP018+1 : TPTP v8.1.0. Bugfixed v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n019.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 : Sat Jul 16 22:46:02 EDT 2022

% Result   : Theorem 0.27s 1.44s
% Output   : CNFRefutation 0.27s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   12 (  12 unt;   0 def)
%            Number of atoms       :   12 (  11 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :   10 (   3 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;   4 con; 0-2 aty)
%            Number of variables   :   21 (   0 sgn  14   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(thm_2Ebinary__ieee_2Eneg__ulp,conjecture,
    ! [X15,X16] : s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X15,X16)),c_2Ebool_2Ethe__value_2E0))))) = s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X15,X16),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(X15,X16),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X15,X16)),c_2Ebool_2Ethe__value_2E0))))))),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',thm_2Ebinary__ieee_2Eneg__ulp) ).

fof(thm_2Ebinary__ieee_2Efloat__to__real__negate,axiom,
    ! [X1,X2,X9] : s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X1,X2),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(X1,X2),X9))))) = s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X1,X2),X9))))),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',thm_2Ebinary__ieee_2Efloat__to__real__negate) ).

fof(thm_2Ebinary__ieee_2Eulp,axiom,
    ! [X15,X16] : s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X15,X16)),c_2Ebool_2Ethe__value_2E0))) = s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X15,X16),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X15,X16)),c_2Ebool_2Ethe__value_2E0))))),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',thm_2Ebinary__ieee_2Eulp) ).

fof(c_0_3,negated_conjecture,
    ~ ! [X15,X16] : s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X15,X16)),c_2Ebool_2Ethe__value_2E0))))) = s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X15,X16),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(X15,X16),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X15,X16)),c_2Ebool_2Ethe__value_2E0))))))),
    inference(assume_negation,[status(cth)],[thm_2Ebinary__ieee_2Eneg__ulp]) ).

fof(c_0_4,plain,
    ! [X10,X11,X12] : s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X10,X11),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(X10,X11),X12))))) = s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X10,X11),X12))))),
    inference(variable_rename,[status(thm)],[thm_2Ebinary__ieee_2Efloat__to__real__negate]) ).

fof(c_0_5,plain,
    ! [X17,X18] : s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X17,X18)),c_2Ebool_2Ethe__value_2E0))) = s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X17,X18),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X17,X18)),c_2Ebool_2Ethe__value_2E0))))),
    inference(variable_rename,[status(thm)],[thm_2Ebinary__ieee_2Eulp]) ).

fof(c_0_6,negated_conjecture,
    s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(esk1_0,esk2_0)),c_2Ebool_2Ethe__value_2E0))))) != s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(esk1_0,esk2_0),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(esk1_0,esk2_0),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(esk1_0,esk2_0)),c_2Ebool_2Ethe__value_2E0))))))),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])]) ).

cnf(c_0_7,plain,
    s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X1,X2),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(X1,X2),X3))))) = s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X1,X2),X3))))),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_8,plain,
    s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X1,X2)),c_2Ebool_2Ethe__value_2E0))) = s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X1,X2),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X1,X2)),c_2Ebool_2Ethe__value_2E0))))),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_9,negated_conjecture,
    s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(esk1_0,esk2_0)),c_2Ebool_2Ethe__value_2E0))))) != s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(esk1_0,esk2_0),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(esk1_0,esk2_0),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(esk1_0,esk2_0)),c_2Ebool_2Ethe__value_2E0))))))),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_10,plain,
    s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X1,X2)),c_2Ebool_2Ethe__value_2E0))))) = s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X1,X2),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(X1,X2),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X1,X2)),c_2Ebool_2Ethe__value_2E0))))))),
    inference(spm,[status(thm)],[c_0_7,c_0_8]) ).

cnf(c_0_11,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_10])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : ITP018+1 : TPTP v8.1.0. Bugfixed v7.5.0.
% 0.07/0.14  % Command  : run_ET %s %d
% 0.13/0.35  % Computer : n019.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Fri Jun  3 23:26:40 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.27/1.44  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.27/1.44  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.27/1.44  # Preprocessing time       : 0.015 s
% 0.27/1.44  
% 0.27/1.44  # Proof found!
% 0.27/1.44  # SZS status Theorem
% 0.27/1.44  # SZS output start CNFRefutation
% See solution above
% 0.27/1.44  # Proof object total steps             : 12
% 0.27/1.44  # Proof object clause steps            : 5
% 0.27/1.44  # Proof object formula steps           : 7
% 0.27/1.44  # Proof object conjectures             : 5
% 0.27/1.44  # Proof object clause conjectures      : 2
% 0.27/1.44  # Proof object formula conjectures     : 3
% 0.27/1.44  # Proof object initial clauses used    : 3
% 0.27/1.44  # Proof object initial formulas used   : 3
% 0.27/1.44  # Proof object generating inferences   : 1
% 0.27/1.44  # Proof object simplifying inferences  : 2
% 0.27/1.44  # Training examples: 0 positive, 0 negative
% 0.27/1.44  # Parsed axioms                        : 34
% 0.27/1.44  # Removed by relevancy pruning/SinE    : 31
% 0.27/1.44  # Initial clauses                      : 3
% 0.27/1.44  # Removed in clause preprocessing      : 0
% 0.27/1.44  # Initial clauses in saturation        : 3
% 0.27/1.44  # Processed clauses                    : 4
% 0.27/1.44  # ...of these trivial                  : 0
% 0.27/1.44  # ...subsumed                          : 0
% 0.27/1.44  # ...remaining for further processing  : 4
% 0.27/1.44  # Other redundant clauses eliminated   : 0
% 0.27/1.44  # Clauses deleted for lack of memory   : 0
% 0.27/1.44  # Backward-subsumed                    : 0
% 0.27/1.44  # Backward-rewritten                   : 1
% 0.27/1.44  # Generated clauses                    : 1
% 0.27/1.44  # ...of the previous two non-trivial   : 1
% 0.27/1.44  # Contextual simplify-reflections      : 0
% 0.27/1.44  # Paramodulations                      : 1
% 0.27/1.44  # Factorizations                       : 0
% 0.27/1.44  # Equation resolutions                 : 0
% 0.27/1.44  # Current number of processed clauses  : 3
% 0.27/1.44  #    Positive orientable unit clauses  : 3
% 0.27/1.44  #    Positive unorientable unit clauses: 0
% 0.27/1.44  #    Negative unit clauses             : 0
% 0.27/1.44  #    Non-unit-clauses                  : 0
% 0.27/1.44  # Current number of unprocessed clauses: 0
% 0.27/1.44  # ...number of literals in the above   : 0
% 0.27/1.44  # Current number of archived formulas  : 0
% 0.27/1.44  # Current number of archived clauses   : 1
% 0.27/1.44  # Clause-clause subsumption calls (NU) : 0
% 0.27/1.44  # Rec. Clause-clause subsumption calls : 0
% 0.27/1.44  # Non-unit clause-clause subsumptions  : 0
% 0.27/1.44  # Unit Clause-clause subsumption calls : 0
% 0.27/1.44  # Rewrite failures with RHS unbound    : 0
% 0.27/1.44  # BW rewrite match attempts            : 6
% 0.27/1.44  # BW rewrite match successes           : 1
% 0.27/1.44  # Condensation attempts                : 0
% 0.27/1.44  # Condensation successes               : 0
% 0.27/1.44  # Termbank termtop insertions          : 1166
% 0.27/1.44  
% 0.27/1.44  # -------------------------------------------------
% 0.27/1.44  # User time                : 0.015 s
% 0.27/1.44  # System time              : 0.001 s
% 0.27/1.44  # Total time               : 0.016 s
% 0.27/1.44  # Maximum resident set size: 2744 pages
%------------------------------------------------------------------------------