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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : ITP018+4 : TPTP v9.3.1. Bugfixed v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n014.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 12:53:46 PM UTC 2026

% Result   : Theorem 13.89s 7.99s
% Output   : CNFRefutation 13.89s
% 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/sandbox2/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/sandbox2/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/sandbox2/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
% 0.00/0.03  % Problem  : ITP018+4 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.50  % Computer : n014.cluster.edu
% 0.11/0.50  % Model    : x86_64 x86_64
% 0.11/0.50  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.50  % Memory   : 8046.5625MB
% 0.11/0.50  % OS       : Linux 6.8.0-71-generic
% 0.11/0.50  % CPULimit : 300
% 0.11/0.50  % WCLimit  : 300
% 0.11/0.50  % DateTime : Sun Sep 20 21:51:10 UTC 2026
% 0.11/0.51  % CPUTime  : 
% 0.11/0.51  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.55  Running first-order theorem proving
% 0.11/0.55  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.89/7.99  % Version: 3.5.1
% 13.89/7.99  % Preprocessing class: FMLLSMLLSSSNFFN.
% 13.89/7.99  % Scheduled 4 strats onto 8 cores with 295 seconds (2360 total)
% 13.89/7.99  % Starting new_bool_3 with 885s (3) cores
% 13.89/7.99  % Starting new_bool_1 with 885s (3) cores
% 13.89/7.99  % Starting sh5l with 295s (1) cores
% 13.89/7.99  % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 295s (1) cores
% 13.89/7.99  % new_bool_1 with pid 2407801 completed with status 0
% 13.89/7.99  % Result found by new_bool_1
% 13.89/7.99  % Preprocessing class: FMLLSMLLSSSNFFN.
% 13.89/7.99  % Scheduled 4 strats onto 8 cores with 295 seconds (2360 total)
% 13.89/7.99  % Starting new_bool_3 with 885s (3) cores
% 13.89/7.99  % Starting new_bool_1 with 885s (3) cores
% 13.89/7.99  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 13.89/7.99  % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 13.89/7.99  % Search class: FGHSM-SMLM33-DFFFFFNN
% 13.89/7.99  % Scheduled 7 strats onto 3 cores with 884 seconds (884 total)
% 13.89/7.99  % Starting SubtermCWHack with 80s (1) cores
% 13.89/7.99  % Starting new_bool_1 with 89s (1) cores
% 13.89/7.99  % Starting U----_206e_00_B11_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 80s (1) cores
% 13.89/7.99  % new_bool_1 with pid 2407805 completed with status 0
% 13.89/7.99  % Result found by new_bool_1
% 13.89/7.99  % Preprocessing class: FMLLSMLLSSSNFFN.
% 13.89/7.99  % Scheduled 4 strats onto 8 cores with 295 seconds (2360 total)
% 13.89/7.99  % Starting new_bool_3 with 885s (3) cores
% 13.89/7.99  % Starting new_bool_1 with 885s (3) cores
% 13.89/7.99  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 13.89/7.99  % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 13.89/7.99  % Search class: FGHSM-SMLM33-DFFFFFNN
% 13.89/7.99  % Scheduled 7 strats onto 3 cores with 884 seconds (884 total)
% 13.89/7.99  % Starting SubtermCWHack with 80s (1) cores
% 13.89/7.99  % Starting new_bool_1 with 89s (1) cores
% 13.89/7.99  % Preprocessing time       : 0.218 s
% 13.89/7.99  % Presaturation interreduction done
% 13.89/7.99  
% 13.89/7.99  % Proof found!
% 13.89/7.99  % SZS status Theorem
% 13.89/7.99  % SZS output start CNFRefutation
% See solution above
% 13.89/7.99  % Parsed axioms                        : 23090
% 13.89/7.99  % Removed by relevancy pruning/SinE    : 19394
% 13.89/7.99  % Initial clauses                      : 7167
% 13.89/7.99  % Removed in clause preprocessing      : 1119
% 13.89/7.99  % Initial clauses in saturation        : 6048
% 13.89/7.99  % Processed clauses                    : 916
% 13.89/7.99  % ...of these trivial                  : 209
% 13.89/7.99  % ...subsumed                          : 425
% 13.89/7.99  % ...remaining for further processing  : 282
% 13.89/7.99  % Other redundant clauses eliminated   : 0
% 13.89/7.99  % Clauses deleted for lack of memory   : 0
% 13.89/7.99  % Backward-subsumed                    : 1
% 13.89/7.99  % Backward-rewritten                   : 12
% 13.89/7.99  % Generated clauses                    : 0
% 13.89/7.99  % ...of the previous two non-redundant : 5
% 13.89/7.99  % ...aggressively subsumed             : 0
% 13.89/7.99  % Contextual simplify-reflections      : 0
% 13.89/7.99  % Paramodulations                      : 0
% 13.89/7.99  % Factorizations                       : 0
% 13.89/7.99  % NegExts                              : 0
% 13.89/7.99  % Equation resolutions                 : 0
% 13.89/7.99  % Disequality decompositions           : 0
% 13.89/7.99  % Total rewrite steps                  : 294
% 13.89/7.99  % ...of those cached                   : 232
% 13.89/7.99  % Propositional unsat checks           : 0
% 13.89/7.99  %    Propositional check models        : 0
% 13.89/7.99  %    Propositional check unsatisfiable : 0
% 13.89/7.99  %    Propositional clauses             : 0
% 13.89/7.99  %    Propositional clauses after purity: 0
% 13.89/7.99  %    Propositional unsat core size     : 0
% 13.89/7.99  %    Propositional preprocessing time  : 0.000
% 13.89/7.99  %    Propositional encoding time       : 0.000
% 13.89/7.99  %    Propositional solver time         : 0.000
% 13.89/7.99  %    Success case prop preproc time    : 0.000
% 13.89/7.99  %    Success case prop encoding time   : 0.000
% 13.89/7.99  %    Success case prop solver time     : 0.000
% 13.89/7.99  % Current number of processed clauses  : 269
% 13.89/7.99  %    Positive orientable unit clauses  : 62
% 13.89/7.99  %    Positive unorientable unit clauses: 4
% 13.89/7.99  %    Negative unit clauses             : 106
% 13.89/7.99  %    Non-unit-clauses                  : 97
% 13.89/7.99  % Current number of unprocessed clauses: 5137
% 13.89/7.99  % ...number of literals in the above   : 13986
% 13.89/7.99  % Current number of archived formulas  : 0
% 13.89/7.99  % Current number of archived clauses   : 13
% 13.89/7.99  % Clause-clause subsumption calls (NU) : 1030
% 13.89/7.99  % Rec. Clause-clause subsumption calls : 909
% 13.89/7.99  % Non-unit clause-clause subsumptions  : 233
% 13.89/7.99  % Unit Clause-clause subsumption calls : 666
% 13.89/7.99  % Rewrite failures with RHS unbound    : 8
% 13.89/7.99  % BW rewrite match attempts            : 346
% 13.89/7.99  % BW rewrite match successes           : 55
% 13.89/7.99  % Condensation attempts                : 0
% 13.89/7.99  % Condensation successes               : 0
% 13.89/7.99  % Termbank termtop insertions          : 2556300
% 13.89/7.99  % Search garbage collected termcells   : 403891
% 13.89/7.99  
% 13.89/7.99  % -------------------------------------------------
% 13.89/7.99  % User time                : 2.066 s
% 13.89/7.99  % System time              : 0.157 s
% 13.89/7.99  % Total time               : 2.223 s
% 13.89/7.99  % Maximum resident set size: 76168 pages
% 13.89/7.99  
% 13.89/7.99  % -------------------------------------------------
% 13.89/7.99  % User time                : 7.431 s
% 13.89/7.99  % System time              : 0.441 s
% 13.89/7.99  % Total time               : 7.872 s
% 13.89/7.99  % Maximum resident set size: 61952 pages
% 13.89/7.99  % E exiting
%------------------------------------------------------------------------------