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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : CSR065+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n015.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 12:16:26 PM UTC 2026

% Result   : Theorem 0.15s 5.45s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   29 (  16 unt;   0 def)
%            Number of atoms       :   48 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   33 (  14   ~;  11   |;   3   &)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   7 con; 0-1 aty)
%            Number of variables   :   10 (   0 sgn   6   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(query65,conjecture,
    ( mtvisible(c_tptp_spindlecollectormt)
   => tptpofobject(c_tptpridgeline_topographical,f_tptpquantityfn_13(n_468)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query65) ).

fof(just48,axiom,
    ! [X16,X17] :
      ( ( genlmt(X16,X17)
        & mtvisible(X16) )
     => mtvisible(X17) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just48) ).

fof(just8,axiom,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member3993_mt),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just8) ).

fof(just7,axiom,
    genlmt(c_tptp_member3993_mt,c_tptp_spindleheadmt),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just7) ).

fof(just10,axiom,
    ! [X1] :
      ( ( ridgeline_topographical(X1)
        & mtvisible(c_tptp_member235_mt) )
     => tptpofobject(X1,f_tptpquantityfn_13(n_468)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just10) ).

fof(just6,axiom,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member235_mt),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just6) ).

fof(just9,axiom,
    ( mtvisible(c_cyclistsmt)
   => ridgeline_topographical(c_tptpridgeline_topographical) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just9) ).

fof(just5,axiom,
    genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just5) ).

fof(c_0_8,negated_conjecture,
    ~ ( mtvisible(c_tptp_spindlecollectormt)
     => tptpofobject(c_tptpridgeline_topographical,f_tptpquantityfn_13(n_468)) ),
    inference(assume_negation,[status(cth)],[query65]) ).

fof(c_0_9,plain,
    ! [X19,X20] :
      ( mtvisible(X20)
      | ~ genlmt(X19,X20)
      | ~ mtvisible(X19) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[just48])])]) ).

fof(c_0_10,negated_conjecture,
    ( ~ tptpofobject(c_tptpridgeline_topographical,f_tptpquantityfn_13(n_468))
    & mtvisible(c_tptp_spindlecollectormt) ),
    inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])]) ).

cnf(c_0_11,plain,
    ( ~ genlmt(X1,X2)
    | ~ mtvisible(X1)
    | mtvisible(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_12,plain,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member3993_mt),
    inference(split_conjunct,[status(thm)],[just8]) ).

cnf(c_0_13,negated_conjecture,
    mtvisible(c_tptp_spindlecollectormt),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_14,plain,
    genlmt(c_tptp_member3993_mt,c_tptp_spindleheadmt),
    inference(split_conjunct,[status(thm)],[just7]) ).

cnf(c_0_15,plain,
    mtvisible(c_tptp_member3993_mt),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13])]) ).

fof(c_0_16,plain,
    ! [X18] :
      ( tptpofobject(X18,f_tptpquantityfn_13(n_468))
      | ~ ridgeline_topographical(X18)
      | ~ mtvisible(c_tptp_member235_mt) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[just10])])]) ).

cnf(c_0_17,plain,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member235_mt),
    inference(split_conjunct,[status(thm)],[just6]) ).

fof(c_0_18,plain,
    ( ridgeline_topographical(c_tptpridgeline_topographical)
    | ~ mtvisible(c_cyclistsmt) ),
    inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[just9])]) ).

cnf(c_0_19,plain,
    genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
    inference(split_conjunct,[status(thm)],[just5]) ).

cnf(c_0_20,plain,
    mtvisible(c_tptp_spindleheadmt),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_14]),c_0_15])]) ).

cnf(c_0_21,plain,
    ( ~ ridgeline_topographical(X1)
    | ~ mtvisible(c_tptp_member235_mt)
    | tptpofobject(X1,f_tptpquantityfn_13(n_468)) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_22,plain,
    mtvisible(c_tptp_member235_mt),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_17]),c_0_13])]) ).

cnf(c_0_23,plain,
    ( ~ mtvisible(c_cyclistsmt)
    | ridgeline_topographical(c_tptpridgeline_topographical) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_24,plain,
    mtvisible(c_cyclistsmt),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_19]),c_0_20])]) ).

cnf(c_0_25,negated_conjecture,
    ~ tptpofobject(c_tptpridgeline_topographical,f_tptpquantityfn_13(n_468)),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_26,plain,
    ( ~ ridgeline_topographical(X1)
    | tptpofobject(X1,f_tptpquantityfn_13(n_468)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_22])]) ).

cnf(c_0_27,plain,
    ridgeline_topographical(c_tptpridgeline_topographical),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_24])]) ).

cnf(c_0_28,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR065+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/5.38  % Computer : n015.cluster.edu
% 0.09/5.38  % Model    : x86_64 x86_64
% 0.09/5.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.38  % Memory   : 8046.5625MB
% 0.09/5.38  % OS       : Linux 6.8.0-71-generic
% 0.09/5.38  % CPULimit : 300
% 0.09/5.38  % WCLimit  : 300
% 0.09/5.38  % DateTime : Mon Sep 21 14:46:12 UTC 2026
% 0.09/5.38  % CPUTime  : 
% 0.09/5.38  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/5.42  Running first-order theorem proving
% 0.15/5.43  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
% 0.15/5.45  % Version: 3.5.1
% 0.15/5.45  % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.15/5.45  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/5.45  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.15/5.45  % Starting new_bool_3 with 300s (1) cores
% 0.15/5.45  % Starting new_bool_1 with 300s (1) cores
% 0.15/5.45  % Starting sh5l with 300s (1) cores
% 0.15/5.45  % new_bool_3 with pid 1714846 completed with status 0
% 0.15/5.45  % Result found by new_bool_3
% 0.15/5.45  % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.15/5.45  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/5.45  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.15/5.45  % Starting new_bool_3 with 300s (1) cores
% 0.15/5.45  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.15/5.45  % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/5.45  % Search class: FHUNF-FFSM11-SFFFFFNN
% 0.15/5.45  % partial match(1): FHUNF-FFSF11-SFFFFFNN
% 0.15/5.45  % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/5.45  % Starting SubtermCWHack with 31s (1) cores
% 0.15/5.45  % SubtermCWHack with pid 1714851 completed with status 0
% 0.15/5.45  % Result found by SubtermCWHack
% 0.15/5.45  % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.15/5.45  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/5.45  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.15/5.45  % Starting new_bool_3 with 300s (1) cores
% 0.15/5.45  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.15/5.45  % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/5.45  % Search class: FHUNF-FFSM11-SFFFFFNN
% 0.15/5.45  % partial match(1): FHUNF-FFSF11-SFFFFFNN
% 0.15/5.45  % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/5.45  % Starting SubtermCWHack with 31s (1) cores
% 0.15/5.45  % Preprocessing time       : 0.001 s
% 0.15/5.45  
% 0.15/5.45  % Proof found!
% 0.15/5.45  % SZS status Theorem
% 0.15/5.45  % SZS output start CNFRefutation
% See solution above
% 0.15/5.45  % Parsed axioms                        : 57
% 0.15/5.45  % Removed by relevancy pruning/SinE    : 44
% 0.15/5.45  % Initial clauses                      : 14
% 0.15/5.45  % Removed in clause preprocessing      : 0
% 0.15/5.45  % Initial clauses in saturation        : 14
% 0.15/5.45  % Processed clauses                    : 20
% 0.15/5.45  % ...of these trivial                  : 0
% 0.15/5.45  % ...subsumed                          : 0
% 0.15/5.45  % ...remaining for further processing  : 20
% 0.15/5.45  % Other redundant clauses eliminated   : 0
% 0.15/5.45  % Clauses deleted for lack of memory   : 0
% 0.15/5.45  % Backward-subsumed                    : 0
% 0.15/5.45  % Backward-rewritten                   : 1
% 0.15/5.45  % Generated clauses                    : 8
% 0.15/5.45  % ...of the previous two non-redundant : 7
% 0.15/5.45  % ...aggressively subsumed             : 0
% 0.15/5.45  % Contextual simplify-reflections      : 0
% 0.15/5.45  % Paramodulations                      : 8
% 0.15/5.45  % Factorizations                       : 0
% 0.15/5.45  % NegExts                              : 0
% 0.15/5.45  % Equation resolutions                 : 0
% 0.15/5.45  % Disequality decompositions           : 0
% 0.15/5.45  % Total rewrite steps                  : 9
% 0.15/5.45  % ...of those cached                   : 2
% 0.15/5.45  % Propositional unsat checks           : 0
% 0.15/5.45  %    Propositional check models        : 0
% 0.15/5.45  %    Propositional check unsatisfiable : 0
% 0.15/5.45  %    Propositional clauses             : 0
% 0.15/5.45  %    Propositional clauses after purity: 0
% 0.15/5.45  %    Propositional unsat core size     : 0
% 0.15/5.45  %    Propositional preprocessing time  : 0.000
% 0.15/5.45  %    Propositional encoding time       : 0.000
% 0.15/5.45  %    Propositional solver time         : 0.000
% 0.15/5.45  %    Success case prop preproc time    : 0.000
% 0.15/5.45  %    Success case prop encoding time   : 0.000
% 0.15/5.45  %    Success case prop solver time     : 0.000
% 0.15/5.45  % Current number of processed clauses  : 19
% 0.15/5.45  %    Positive orientable unit clauses  : 14
% 0.15/5.45  %    Positive unorientable unit clauses: 0
% 0.15/5.45  %    Negative unit clauses             : 1
% 0.15/5.45  %    Non-unit-clauses                  : 4
% 0.15/5.45  % Current number of unprocessed clauses: 1
% 0.15/5.45  % ...number of literals in the above   : 3
% 0.15/5.45  % Current number of archived formulas  : 0
% 0.15/5.45  % Current number of archived clauses   : 1
% 0.15/5.45  % Clause-clause subsumption calls (NU) : 1
% 0.15/5.45  % Rec. Clause-clause subsumption calls : 1
% 0.15/5.45  % Non-unit clause-clause subsumptions  : 0
% 0.15/5.45  % Unit Clause-clause subsumption calls : 1
% 0.15/5.45  % Rewrite failures with RHS unbound    : 0
% 0.15/5.45  % BW rewrite match attempts            : 1
% 0.15/5.45  % BW rewrite match successes           : 1
% 0.15/5.45  % Condensation attempts                : 0
% 0.15/5.45  % Condensation successes               : 0
% 0.15/5.45  % Termbank termtop insertions          : 987
% 0.15/5.45  % Search garbage collected termcells   : 317
% 0.15/5.45  
% 0.15/5.45  % -------------------------------------------------
% 0.15/5.45  % User time                : 0.004 s
% 0.15/5.45  % System time              : 0.003 s
% 0.15/5.45  % Total time               : 0.006 s
% 0.15/5.45  % Maximum resident set size: 3688 pages
% 0.15/5.45  
% 0.15/5.45  % -------------------------------------------------
% 0.15/5.45  % User time                : 0.007 s
% 0.15/5.45  % System time              : 0.006 s
% 0.15/5.45  % Total time               : 0.013 s
% 0.15/5.45  % Maximum resident set size: 4864 pages
% 0.15/5.45  % E exiting
%------------------------------------------------------------------------------