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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : ITP018+1 : 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 : n004.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 12:53:45 PM UTC 2026

% Result   : Theorem 0.14s 5.45s
% Output   : CNFRefutation 0.14s
% 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,
    ! [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/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,
    ! [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/benchmark/theBenchmark.p',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,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,
    ! [X19,X20,X21] : s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X19,X20),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(X19,X20),X21))))) = 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(X19,X20),X21))))),
    inference(variable_rename,[status(thm)],[thm_2Ebinary__ieee_2Efloat__to__real__negate]) ).

fof(c_0_6,plain,
    ! [X22,X23] : s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X22,X23)),c_2Ebool_2Ethe__value_2E0))) = s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X22,X23),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X22,X23)),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+1 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/5.38  % Computer : n004.cluster.edu
% 0.10/5.38  % Model    : x86_64 x86_64
% 0.10/5.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.38  % Memory   : 8046.5625MB
% 0.10/5.38  % OS       : Linux 6.8.0-71-generic
% 0.10/5.38  % CPULimit : 300
% 0.10/5.38  % WCLimit  : 300
% 0.10/5.38  % DateTime : Sun Sep 20 21:50:55 UTC 2026
% 0.10/5.38  % CPUTime  : 
% 0.10/5.38  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/5.43  Running first-order theorem proving
% 0.14/5.43  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
% 0.14/5.45  % Version: 3.5.1
% 0.14/5.45  % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.14/5.45  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/5.45  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.14/5.45  % Starting new_bool_3 with 300s (1) cores
% 0.14/5.45  % Starting new_bool_1 with 300s (1) cores
% 0.14/5.45  % Starting sh5l with 300s (1) cores
% 0.14/5.45  % new_bool_3 with pid 1536763 completed with status 0
% 0.14/5.45  % Result found by new_bool_3
% 0.14/5.45  % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.14/5.45  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/5.45  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.14/5.45  % Starting new_bool_3 with 300s (1) cores
% 0.14/5.45  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.14/5.45  % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.14/5.45  % Search class: FUUPS-FFSF21-DFFFFFNN
% 0.14/5.45  % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.14/5.45  % Starting SubtermCWHack with 31s (1) cores
% 0.14/5.45  % SubtermCWHack with pid 1536766 completed with status 0
% 0.14/5.45  % Result found by SubtermCWHack
% 0.14/5.45  % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.14/5.45  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/5.45  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.14/5.45  % Starting new_bool_3 with 300s (1) cores
% 0.14/5.45  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.14/5.45  % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.14/5.45  % Search class: FUUPS-FFSF21-DFFFFFNN
% 0.14/5.45  % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.14/5.45  % Starting SubtermCWHack with 31s (1) cores
% 0.14/5.45  % Preprocessing time       : 0.001 s
% 0.14/5.45  
% 0.14/5.45  % Proof found!
% 0.14/5.45  % SZS status Theorem
% 0.14/5.45  % SZS output start CNFRefutation
% See solution above
% 0.14/5.45  % Parsed axioms                        : 34
% 0.14/5.45  % Removed by relevancy pruning/SinE    : 31
% 0.14/5.45  % Initial clauses                      : 3
% 0.14/5.45  % Removed in clause preprocessing      : 0
% 0.14/5.45  % Initial clauses in saturation        : 3
% 0.14/5.45  % Processed clauses                    : 3
% 0.14/5.45  % ...of these trivial                  : 0
% 0.14/5.45  % ...subsumed                          : 0
% 0.14/5.45  % ...remaining for further processing  : 2
% 0.14/5.45  % Other redundant clauses eliminated   : 0
% 0.14/5.45  % Clauses deleted for lack of memory   : 0
% 0.14/5.45  % Backward-subsumed                    : 0
% 0.14/5.45  % Backward-rewritten                   : 0
% 0.14/5.45  % Generated clauses                    : 0
% 0.14/5.45  % ...of the previous two non-redundant : 0
% 0.14/5.45  % ...aggressively subsumed             : 0
% 0.14/5.45  % Contextual simplify-reflections      : 0
% 0.14/5.45  % Paramodulations                      : 0
% 0.14/5.45  % Factorizations                       : 0
% 0.14/5.45  % NegExts                              : 0
% 0.14/5.45  % Equation resolutions                 : 0
% 0.14/5.45  % Disequality decompositions           : 0
% 0.14/5.45  % Total rewrite steps                  : 2
% 0.14/5.45  % ...of those cached                   : 0
% 0.14/5.45  % Propositional unsat checks           : 0
% 0.14/5.45  %    Propositional check models        : 0
% 0.14/5.45  %    Propositional check unsatisfiable : 0
% 0.14/5.45  %    Propositional clauses             : 0
% 0.14/5.45  %    Propositional clauses after purity: 0
% 0.14/5.45  %    Propositional unsat core size     : 0
% 0.14/5.45  %    Propositional preprocessing time  : 0.000
% 0.14/5.45  %    Propositional encoding time       : 0.000
% 0.14/5.45  %    Propositional solver time         : 0.000
% 0.14/5.45  %    Success case prop preproc time    : 0.000
% 0.14/5.45  %    Success case prop encoding time   : 0.000
% 0.14/5.45  %    Success case prop solver time     : 0.000
% 0.14/5.45  % Current number of processed clauses  : 2
% 0.14/5.45  %    Positive orientable unit clauses  : 2
% 0.14/5.45  %    Positive unorientable unit clauses: 0
% 0.14/5.45  %    Negative unit clauses             : 0
% 0.14/5.45  %    Non-unit-clauses                  : 0
% 0.14/5.45  % Current number of unprocessed clauses: 0
% 0.14/5.45  % ...number of literals in the above   : 0
% 0.14/5.45  % Current number of archived formulas  : 0
% 0.14/5.45  % Current number of archived clauses   : 0
% 0.14/5.45  % Clause-clause subsumption calls (NU) : 0
% 0.14/5.45  % Rec. Clause-clause subsumption calls : 0
% 0.14/5.45  % Non-unit clause-clause subsumptions  : 0
% 0.14/5.45  % Unit Clause-clause subsumption calls : 0
% 0.14/5.45  % Rewrite failures with RHS unbound    : 0
% 0.14/5.45  % BW rewrite match attempts            : 1
% 0.14/5.45  % BW rewrite match successes           : 0
% 0.14/5.45  % Condensation attempts                : 0
% 0.14/5.45  % Condensation successes               : 0
% 0.14/5.45  % Termbank termtop insertions          : 1078
% 0.14/5.45  % Search garbage collected termcells   : 351
% 0.14/5.45  
% 0.14/5.45  % -------------------------------------------------
% 0.14/5.45  % User time                : 0.003 s
% 0.14/5.45  % System time              : 0.001 s
% 0.14/5.45  % Total time               : 0.004 s
% 0.14/5.45  % Maximum resident set size: 3956 pages
% 0.14/5.45  
% 0.14/5.45  % -------------------------------------------------
% 0.14/5.45  % User time                : 0.007 s
% 0.14/5.45  % System time              : 0.005 s
% 0.14/5.45  % Total time               : 0.012 s
% 0.14/5.45  % Maximum resident set size: 4864 pages
% 0.14/5.45  % E exiting
%------------------------------------------------------------------------------