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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : CSR077+5 : TPTP v9.3.1. Bugfixed v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n020.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 12:16:35 PM UTC 2026

% Result   : Theorem 33.09s 6.37s
% Output   : CNFRefutation 33.09s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   27 (  10 unt;   0 def)
%            Number of atoms       :   69 (  10 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   75 (  33   ~;  31   |;   4   &)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   6 usr;   8 con; 0-1 aty)
%            Number of variables   :   29 (   2 sgn  14   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(kb_SUMO_4610,axiom,
    ! [X12] :
      ( s__instance(X12,s__RealNumber)
     => ( s__instance(X12,s__NegativeRealNumber)
       => s__SignumFn(X12) = "-1" ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR003+1.ax',kb_SUMO_4610) ).

fof(kb_SUMO_4608,axiom,
    ! [X12] :
      ( s__instance(X12,s__RealNumber)
     => ( s__instance(X12,s__NonnegativeRealNumber)
       => ( s__SignumFn(X12) = "0"
          | s__SignumFn(X12) = "1" ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR003+1.ax',kb_SUMO_4608) ).

fof(kb_SUMO_27,axiom,
    ! [X6,X7,X8] :
      ( ( s__instance(X6,s__SetOrClass)
        & s__instance(X7,s__SetOrClass) )
     => ( ( s__instance(X8,X6)
          & s__subclass(X6,X7) )
       => s__instance(X8,X7) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR003+1.ax',kb_SUMO_27) ).

fof(kb_SUMO_26,axiom,
    ! [X6,X7] :
      ( s__subclass(X6,X7)
     => ( s__instance(X7,s__SetOrClass)
        & s__instance(X6,s__SetOrClass) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR003+1.ax',kb_SUMO_26) ).

fof(prove_from_SUMO_MILO,conjecture,
    ~ s__instance(s__Number3_1,s__NegativeRealNumber),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_from_SUMO_MILO) ).

fof(kb_SUMO_953,axiom,
    s__subclass(s__NegativeRealNumber,s__RealNumber),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR003+1.ax',kb_SUMO_953) ).

fof(local_1,axiom,
    s__instance(s__Number3_1,s__NonnegativeRealNumber),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',local_1) ).

fof(c_0_7,plain,
    ! [X1241] :
      ( s__SignumFn(X1241) = "-1"
      | ~ s__instance(X1241,s__NegativeRealNumber)
      | ~ s__instance(X1241,s__RealNumber) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[kb_SUMO_4610])])]) ).

fof(c_0_8,plain,
    ! [X1252] :
      ( s__SignumFn(X1252) = "0"
      | s__SignumFn(X1252) = "1"
      | ~ s__instance(X1252,s__NonnegativeRealNumber)
      | ~ s__instance(X1252,s__RealNumber) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[kb_SUMO_4608])])]) ).

fof(c_0_9,plain,
    ! [X1225,X1226,X1227] :
      ( s__instance(X1227,X1226)
      | ~ s__instance(X1227,X1225)
      | ~ s__subclass(X1225,X1226)
      | ~ s__instance(X1225,s__SetOrClass)
      | ~ s__instance(X1226,s__SetOrClass) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[kb_SUMO_27])])]) ).

fof(c_0_10,plain,
    ! [X1223,X1224] :
      ( ( ~ s__subclass(X1223,X1224)
        | s__instance(X1224,s__SetOrClass) )
      & ( ~ s__subclass(X1223,X1224)
        | s__instance(X1223,s__SetOrClass) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[kb_SUMO_26])])])]) ).

cnf(c_0_11,plain,
    ( ~ s__instance(X1,s__NegativeRealNumber)
    | ~ s__instance(X1,s__RealNumber)
    | s__SignumFn(X1) = "-1" ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_12,plain,
    ( ~ s__instance(X1,s__NonnegativeRealNumber)
    | ~ s__instance(X1,s__RealNumber)
    | s__SignumFn(X1) = "0"
    | s__SignumFn(X1) = "1" ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

fof(c_0_13,negated_conjecture,
    ~ ~ s__instance(s__Number3_1,s__NegativeRealNumber),
    inference(assume_negation,[status(cth)],[prove_from_SUMO_MILO]) ).

cnf(c_0_14,plain,
    ( ~ s__instance(X3,X2)
    | ~ s__subclass(X2,X1)
    | ~ s__instance(X2,s__SetOrClass)
    | ~ s__instance(X1,s__SetOrClass)
    | s__instance(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_15,plain,
    ( ~ s__subclass(X2,X1)
    | s__instance(X1,s__SetOrClass) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_16,plain,
    ( ~ s__subclass(X1,X2)
    | s__instance(X1,s__SetOrClass) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_17,plain,
    ( ~ s__instance(X1,s__NonnegativeRealNumber)
    | ~ s__instance(X1,s__NegativeRealNumber)
    | ~ s__instance(X1,s__RealNumber)
    | s__SignumFn(X1) = "1" ),
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

fof(c_0_18,negated_conjecture,
    s__instance(s__Number3_1,s__NegativeRealNumber),
    inference(fof_simplification,[status(thm)],[c_0_13]) ).

cnf(c_0_19,plain,
    ( ~ s__instance(X1,X3)
    | ~ s__subclass(X3,X2)
    | s__instance(X1,X2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_14,c_0_15]),c_0_16]) ).

cnf(c_0_20,plain,
    s__subclass(s__NegativeRealNumber,s__RealNumber),
    inference(split_conjunct,[status(thm)],[kb_SUMO_953]) ).

cnf(c_0_21,plain,
    ( ~ s__instance(X1,s__NonnegativeRealNumber)
    | ~ s__instance(X1,s__NegativeRealNumber)
    | ~ s__instance(X1,s__RealNumber) ),
    inference(spm,[status(thm)],[c_0_11,c_0_17]) ).

cnf(c_0_22,negated_conjecture,
    s__instance(s__Number3_1,s__NegativeRealNumber),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_23,plain,
    s__instance(s__Number3_1,s__NonnegativeRealNumber),
    inference(split_conjunct,[status(thm)],[local_1]) ).

cnf(c_0_24,plain,
    ( ~ s__instance(X1,s__NegativeRealNumber)
    | s__instance(X1,s__RealNumber) ),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_25,negated_conjecture,
    ~ s__instance(s__Number3_1,s__RealNumber),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23])]) ).

cnf(c_0_26,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_22]),c_0_25]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : CSR077+5 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.07  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.45  % Computer : n020.cluster.edu
% 0.18/0.45  % Model    : x86_64 x86_64
% 0.18/0.45  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.45  % Memory   : 8046.5625MB
% 0.18/0.45  % OS       : Linux 6.8.0-71-generic
% 0.18/0.45  % CPULimit : 300
% 0.18/0.45  % WCLimit  : 300
% 0.18/0.45  % DateTime : Mon Sep 21 14:48:47 UTC 2026
% 0.18/0.46  % CPUTime  : 
% 0.18/0.46  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.23/0.53  Running first-order theorem proving
% 0.23/0.53  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
% 33.09/6.37  % Version: 3.5.1
% 33.09/6.37  % Preprocessing class: FMLLSMSLSSSNFFN.
% 33.09/6.37  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 33.09/6.37  % Starting G-E--_208_B07_F1_AE_CS_SP_PS_S0Y with 1500s (5) cores
% 33.09/6.37  % Starting new_bool_3 with 300s (1) cores
% 33.09/6.37  % Starting new_bool_1 with 300s (1) cores
% 33.09/6.37  % Starting sh5l with 300s (1) cores
% 33.09/6.37  % G-E--_208_B07_F1_AE_CS_SP_PS_S0Y with pid 3192528 completed with status 0
% 33.09/6.37  % Result found by G-E--_208_B07_F1_AE_CS_SP_PS_S0Y
% 33.09/6.37  % Preprocessing class: FMLLSMSLSSSNFFN.
% 33.09/6.37  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 33.09/6.37  % Starting G-E--_208_B07_F1_AE_CS_SP_PS_S0Y with 1500s (5) cores
% 33.09/6.37  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 33.09/6.37  % SinE strategy is gf500_h_gu_R04_F100_L20000
% 33.09/6.37  % Search class: FGHSM-SMLM31-MFFFFFNN
% 33.09/6.37  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 33.09/6.37  % Starting SubtermCWHack with 136s (1) cores
% 33.09/6.37  % Starting G-E--_208_B07_F1_AE_CS_SP_PS_S0Y with 151s (1) cores
% 33.09/6.37  % Starting G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with 136s (1) cores
% 33.09/6.37  % Starting new_bool_3 with 136s (1) cores
% 33.09/6.37  % Starting new_bool_1 with 136s (1) cores
% 33.09/6.37  % G-E--_208_B07_F1_AE_CS_SP_PS_S0Y with pid 3192536 completed with status 0
% 33.09/6.37  % Result found by G-E--_208_B07_F1_AE_CS_SP_PS_S0Y
% 33.09/6.37  % Preprocessing class: FMLLSMSLSSSNFFN.
% 33.09/6.37  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 33.09/6.37  % Starting G-E--_208_B07_F1_AE_CS_SP_PS_S0Y with 1500s (5) cores
% 33.09/6.37  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 33.09/6.37  % SinE strategy is gf500_h_gu_R04_F100_L20000
% 33.09/6.37  % Search class: FGHSM-SMLM31-MFFFFFNN
% 33.09/6.37  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 33.09/6.37  % Starting SubtermCWHack with 136s (1) cores
% 33.09/6.37  % Starting G-E--_208_B07_F1_AE_CS_SP_PS_S0Y with 151s (1) cores
% 33.09/6.37  % Preprocessing time       : 0.105 s
% 33.09/6.37  % Presaturation interreduction done
% 33.09/6.37  
% 33.09/6.37  % Proof found!
% 33.09/6.37  % SZS status Theorem
% 33.09/6.37  % SZS output start CNFRefutation
% See solution above
% 33.09/6.37  % Parsed axioms                        : 16750
% 33.09/6.37  % Removed by relevancy pruning/SinE    : 14079
% 33.09/6.37  % Initial clauses                      : 3628
% 33.09/6.37  % Removed in clause preprocessing      : 60
% 33.09/6.37  % Initial clauses in saturation        : 3568
% 33.09/6.37  % Processed clauses                    : 10409
% 33.09/6.37  % ...of these trivial                  : 825
% 33.09/6.37  % ...subsumed                          : 775
% 33.09/6.37  % ...remaining for further processing  : 8809
% 33.09/6.37  % Other redundant clauses eliminated   : 7
% 33.09/6.37  % Clauses deleted for lack of memory   : 0
% 33.09/6.37  % Backward-subsumed                    : 22
% 33.09/6.37  % Backward-rewritten                   : 886
% 33.09/6.37  % Generated clauses                    : 20276
% 33.09/6.37  % ...of the previous two non-redundant : 18816
% 33.09/6.37  % ...aggressively subsumed             : 0
% 33.09/6.37  % Contextual simplify-reflections      : 305
% 33.09/6.37  % Paramodulations                      : 20251
% 33.09/6.37  % Factorizations                       : 5
% 33.09/6.37  % NegExts                              : 0
% 33.09/6.37  % Equation resolutions                 : 20
% 33.09/6.37  % Disequality decompositions           : 0
% 33.09/6.37  % Total rewrite steps                  : 4193
% 33.09/6.37  % ...of those cached                   : 2521
% 33.09/6.37  % Propositional unsat checks           : 0
% 33.09/6.37  %    Propositional check models        : 0
% 33.09/6.37  %    Propositional check unsatisfiable : 0
% 33.09/6.37  %    Propositional clauses             : 0
% 33.09/6.37  %    Propositional clauses after purity: 0
% 33.09/6.37  %    Propositional unsat core size     : 0
% 33.09/6.37  %    Propositional preprocessing time  : 0.000
% 33.09/6.37  %    Propositional encoding time       : 0.000
% 33.09/6.37  %    Propositional solver time         : 0.000
% 33.09/6.37  %    Success case prop preproc time    : 0.000
% 33.09/6.37  %    Success case prop encoding time   : 0.000
% 33.09/6.37  %    Success case prop solver time     : 0.000
% 33.09/6.37  % Current number of processed clauses  : 4415
% 33.09/6.37  %    Positive orientable unit clauses  : 1688
% 33.09/6.37  %    Positive unorientable unit clauses: 38
% 33.09/6.37  %    Negative unit clauses             : 9
% 33.09/6.37  %    Non-unit-clauses                  : 2680
% 33.09/6.37  % Current number of unprocessed clauses: 11904
% 33.09/6.37  % ...number of literals in the above   : 39683
% 33.09/6.37  % Current number of archived formulas  : 0
% 33.09/6.37  % Current number of archived clauses   : 4388
% 33.09/6.37  % Clause-clause subsumption calls (NU) : 3733330
% 33.09/6.37  % Rec. Clause-clause subsumption calls : 844785
% 33.09/6.37  % Non-unit clause-clause subsumptions  : 1007
% 33.09/6.37  % Unit Clause-clause subsumption calls : 581640
% 33.09/6.37  % Rewrite failures with RHS unbound    : 1117
% 33.09/6.37  % BW rewrite match attempts            : 69706
% 33.09/6.37  % BW rewrite match successes           : 892
% 33.09/6.37  % Condensation attempts                : 0
% 33.09/6.37  % Condensation successes               : 0
% 33.09/6.37  % Termbank termtop insertions          : 755770
% 33.09/6.37  % Search garbage collected termcells   : 122120
% 33.09/6.37  
% 33.09/6.37  % -------------------------------------------------
% 33.09/6.37  % User time                : 4.535 s
% 33.09/6.37  % System time              : 0.243 s
% 33.09/6.37  % Total time               : 4.779 s
% 33.09/6.37  % Maximum resident set size: 48536 pages
% 33.09/6.37  
% 33.09/6.37  % -------------------------------------------------
% 33.09/6.37  % User time                : 21.179 s
% 33.09/6.37  % System time              : 0.884 s
% 33.09/6.37  % Total time               : 22.063 s
% 33.09/6.37  % Maximum resident set size: 22016 pages
% 33.09/6.37  % E exiting
%------------------------------------------------------------------------------