TSTP Solution File: ITP018+4 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : ITP018+4 : TPTP v8.2.0. Bugfixed v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n017.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  : 300s
% DateTime : Mon May 20 22:18:59 EDT 2024

% Result   : Theorem 9.42s 4.33s
% Output   : CNFRefutation 9.42s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   11 (  11 unt;   0 def)
%            Number of atoms       :   11 (  10 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 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   :   19 (   0 sgn  14   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(thm_2Ebinary__ieee_2Eneg__ulp,conjecture,
    ! [X13331,X13333] : 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(X13331,X13333)),c_2Ebool_2Ethe__value_2E0))))) = s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X13331,X13333),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(X13331,X13333),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X13331,X13333)),c_2Ebool_2Ethe__value_2E0))))))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',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/sandbox/benchmark/theBenchmark.p',thm_2Ebinary__ieee_2Efloat__to__real__negate) ).

fof(thm_2Ebinary__ieee_2Eulp,axiom,
    ! [X13331,X13333] : s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X13331,X13333)),c_2Ebool_2Ethe__value_2E0))) = s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X13331,X13333),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X13331,X13333)),c_2Ebool_2Ethe__value_2E0))))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Ebinary__ieee_2Eulp) ).

fof(c_0_3,negated_conjecture,
    ~ ! [X13331,X13333] : 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(X13331,X13333)),c_2Ebool_2Ethe__value_2E0))))) = s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X13331,X13333),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(X13331,X13333),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X13331,X13333)),c_2Ebool_2Ethe__value_2E0))))))),
    inference(assume_negation,[status(cth)],[thm_2Ebinary__ieee_2Eneg__ulp]) ).

fof(c_0_4,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(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])]) ).

fof(c_0_5,plain,
    ! [X14904,X14905,X14906] : s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X14904,X14905),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(X14904,X14905),X14906))))) = 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(X14904,X14905),X14906))))),
    inference(variable_rename,[status(thm)],[thm_2Ebinary__ieee_2Efloat__to__real__negate]) ).

fof(c_0_6,plain,
    ! [X15486,X15487] : s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X15486,X15487)),c_2Ebool_2Ethe__value_2E0))) = s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X15486,X15487),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X15486,X15487)),c_2Ebool_2Ethe__value_2E0))))),
    inference(variable_rename,[status(thm)],[thm_2Ebinary__ieee_2Eulp]) ).

cnf(c_0_7,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_4]) ).

cnf(c_0_8,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_5]) ).

cnf(c_0_9,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_6]) ).

cnf(c_0_10,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_7,c_0_8]),c_0_9])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : ITP018+4 : TPTP v8.2.0. Bugfixed v7.5.0.
% 0.11/0.13  % Command    : run_E %s %d THM
% 0.13/0.34  % Computer : n017.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   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Sat May 18 16:05:09 EDT 2024
% 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/benchmark/theBenchmark.p
% 9.42/4.33  # Version: 3.1.0
% 9.42/4.33  # Preprocessing class: FMLLSMLLSSSNFFN.
% 9.42/4.33  # Scheduled 4 strats onto 8 cores with 298 seconds (2384 total)
% 9.42/4.33  # Starting new_bool_3 with 894s (3) cores
% 9.42/4.33  # Starting new_bool_1 with 894s (3) cores
% 9.42/4.33  # Starting sh5l with 298s (1) cores
% 9.42/4.33  # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 298s (1) cores
% 9.42/4.33  # new_bool_3 with pid 14620 completed with status 0
% 9.42/4.33  # Result found by new_bool_3
% 9.42/4.33  # Preprocessing class: FMLLSMLLSSSNFFN.
% 9.42/4.33  # Scheduled 4 strats onto 8 cores with 298 seconds (2384 total)
% 9.42/4.33  # Starting new_bool_3 with 894s (3) cores
% 9.42/4.33  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 9.42/4.33  # Search class: FGHSM-SMLM33-DFFFFFNN
% 9.42/4.33  # Scheduled 6 strats onto 3 cores with 893 seconds (893 total)
% 9.42/4.33  # Starting SAT001_MinMin_p005000_rr with 483s (1) cores
% 9.42/4.33  # Starting new_bool_3 with 90s (1) cores
% 9.42/4.33  # Starting SAT001_CA_MinMin_p005000_rr with 81s (1) cores
% 9.42/4.33  # SAT001_CA_MinMin_p005000_rr with pid 14627 completed with status 0
% 9.42/4.33  # Result found by SAT001_CA_MinMin_p005000_rr
% 9.42/4.33  # Preprocessing class: FMLLSMLLSSSNFFN.
% 9.42/4.33  # Scheduled 4 strats onto 8 cores with 298 seconds (2384 total)
% 9.42/4.33  # Starting new_bool_3 with 894s (3) cores
% 9.42/4.33  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 9.42/4.33  # Search class: FGHSM-SMLM33-DFFFFFNN
% 9.42/4.33  # Scheduled 6 strats onto 3 cores with 893 seconds (893 total)
% 9.42/4.33  # Starting SAT001_MinMin_p005000_rr with 483s (1) cores
% 9.42/4.33  # Starting new_bool_3 with 90s (1) cores
% 9.42/4.33  # Starting SAT001_CA_MinMin_p005000_rr with 81s (1) cores
% 9.42/4.33  # Preprocessing time       : 0.206 s
% 9.42/4.33  # Presaturation interreduction done
% 9.42/4.33  
% 9.42/4.33  # Proof found!
% 9.42/4.33  # SZS status Theorem
% 9.42/4.33  # SZS output start CNFRefutation
% See solution above
% 9.42/4.33  # Parsed axioms                        : 23090
% 9.42/4.33  # Removed by relevancy pruning/SinE    : 19394
% 9.42/4.33  # Initial clauses                      : 7167
% 9.42/4.33  # Removed in clause preprocessing      : 1119
% 9.42/4.33  # Initial clauses in saturation        : 6048
% 9.42/4.33  # Processed clauses                    : 916
% 9.42/4.33  # ...of these trivial                  : 209
% 9.42/4.33  # ...subsumed                          : 425
% 9.42/4.33  # ...remaining for further processing  : 282
% 9.42/4.33  # Other redundant clauses eliminated   : 0
% 9.42/4.33  # Clauses deleted for lack of memory   : 0
% 9.42/4.33  # Backward-subsumed                    : 1
% 9.42/4.33  # Backward-rewritten                   : 12
% 9.42/4.33  # Generated clauses                    : 0
% 9.42/4.33  # ...of the previous two non-redundant : 5
% 9.42/4.33  # ...aggressively subsumed             : 0
% 9.42/4.33  # Contextual simplify-reflections      : 0
% 9.42/4.33  # Paramodulations                      : 0
% 9.42/4.33  # Factorizations                       : 0
% 9.42/4.33  # NegExts                              : 0
% 9.42/4.33  # Equation resolutions                 : 0
% 9.42/4.33  # Disequality decompositions           : 0
% 9.42/4.33  # Total rewrite steps                  : 294
% 9.42/4.33  # ...of those cached                   : 232
% 9.42/4.33  # Propositional unsat checks           : 0
% 9.42/4.33  #    Propositional check models        : 0
% 9.42/4.33  #    Propositional check unsatisfiable : 0
% 9.42/4.33  #    Propositional clauses             : 0
% 9.42/4.33  #    Propositional clauses after purity: 0
% 9.42/4.33  #    Propositional unsat core size     : 0
% 9.42/4.33  #    Propositional preprocessing time  : 0.000
% 9.42/4.33  #    Propositional encoding time       : 0.000
% 9.42/4.33  #    Propositional solver time         : 0.000
% 9.42/4.33  #    Success case prop preproc time    : 0.000
% 9.42/4.33  #    Success case prop encoding time   : 0.000
% 9.42/4.33  #    Success case prop solver time     : 0.000
% 9.42/4.33  # Current number of processed clauses  : 269
% 9.42/4.33  #    Positive orientable unit clauses  : 62
% 9.42/4.33  #    Positive unorientable unit clauses: 4
% 9.42/4.33  #    Negative unit clauses             : 106
% 9.42/4.33  #    Non-unit-clauses                  : 97
% 9.42/4.33  # Current number of unprocessed clauses: 5137
% 9.42/4.33  # ...number of literals in the above   : 13986
% 9.42/4.33  # Current number of archived formulas  : 0
% 9.42/4.33  # Current number of archived clauses   : 13
% 9.42/4.33  # Clause-clause subsumption calls (NU) : 1136
% 9.42/4.33  # Rec. Clause-clause subsumption calls : 932
% 9.42/4.33  # Non-unit clause-clause subsumptions  : 233
% 9.42/4.33  # Unit Clause-clause subsumption calls : 674
% 9.42/4.33  # Rewrite failures with RHS unbound    : 8
% 9.42/4.33  # BW rewrite match attempts            : 346
% 9.42/4.33  # BW rewrite match successes           : 55
% 9.42/4.33  # Condensation attempts                : 941
% 9.42/4.33  # Condensation successes               : 5
% 9.42/4.33  # Termbank termtop insertions          : 2532463
% 9.42/4.33  # Search garbage collected termcells   : 403891
% 9.42/4.33  
% 9.42/4.33  # -------------------------------------------------
% 9.42/4.33  # User time                : 1.306 s
% 9.42/4.33  # System time              : 0.106 s
% 9.42/4.33  # Total time               : 1.412 s
% 9.42/4.33  # Maximum resident set size: 74280 pages
% 9.42/4.33  
% 9.42/4.33  # -------------------------------------------------
% 9.42/4.33  # User time                : 4.071 s
% 9.42/4.33  # System time              : 0.217 s
% 9.42/4.33  # Total time               : 4.287 s
% 9.42/4.33  # Maximum resident set size: 58720 pages
% 9.42/4.33  % E---3.1 exiting
%------------------------------------------------------------------------------