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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : GEO147+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n011.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 12:27:18 PM UTC 2026

% Result   : Theorem 0.02s 15.26s
% Output   : CNFRefutation 0.02s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   22 (   4 unt;   0 def)
%            Number of atoms       :   50 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   50 (  22   ~;  16   |;   7   &)
%                                         (   2 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   35 (   4 sgn  20   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(t13,conjecture,
    ! [X3,X12,X13] :
      ( connect(X12,X13,X3)
     => ( incident_o(X3,trajectory_of(X13))
        & incident_o(X3,trajectory_of(X12)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13) ).

fof(at_on_trajectory,axiom,
    ! [X12,X3] :
      ( once(at(X12,X3))
    <=> incident_o(X3,trajectory_of(X12)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+3.ax',at_on_trajectory) ).

fof(conjunction_at_the_same_time,axiom,
    ! [X14,X15] :
      ( once(at_the_same_time(X14,X15))
     => ( once(X15)
        & once(X14) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+3.ax',conjunction_at_the_same_time) ).

fof(connect_defn,axiom,
    ! [X12,X13,X3] :
      ( connect(X12,X13,X3)
    <=> once(at_the_same_time(at(X12,X3),at(X13,X3))) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+3.ax',connect_defn) ).

fof(c_0_4,negated_conjecture,
    ~ ! [X3,X12,X13] :
        ( connect(X12,X13,X3)
       => ( incident_o(X3,trajectory_of(X13))
          & incident_o(X3,trajectory_of(X12)) ) ),
    inference(assume_negation,[status(cth)],[t13]) ).

fof(c_0_5,negated_conjecture,
    ( ( ~ incident_o(esk1_0,trajectory_of(esk3_0))
      | ~ incident_o(esk1_0,trajectory_of(esk2_0)) )
    & connect(esk2_0,esk3_0,esk1_0) ),
    inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])]) ).

fof(c_0_6,plain,
    ! [X26,X27] :
      ( ( once(at(X26,X27))
        | ~ incident_o(X27,trajectory_of(X26)) )
      & ( incident_o(X27,trajectory_of(X26))
        | ~ once(at(X26,X27)) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[at_on_trajectory])])]) ).

fof(c_0_7,plain,
    ! [X49,X50] :
      ( ( ~ once(at_the_same_time(X49,X50))
        | once(X50) )
      & ( ~ once(at_the_same_time(X49,X50))
        | once(X49) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conjunction_at_the_same_time])])])]) ).

fof(c_0_8,plain,
    ! [X36,X37,X38] :
      ( ( connect(X36,X37,X38)
        | ~ once(at_the_same_time(at(X36,X38),at(X37,X38))) )
      & ( once(at_the_same_time(at(X36,X38),at(X37,X38)))
        | ~ connect(X36,X37,X38) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[connect_defn])])]) ).

cnf(c_0_9,negated_conjecture,
    ( ~ incident_o(esk1_0,trajectory_of(esk3_0))
    | ~ incident_o(esk1_0,trajectory_of(esk2_0)) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_10,plain,
    ( ~ once(at(X1,X2))
    | incident_o(X2,trajectory_of(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_11,plain,
    ( ~ once(at_the_same_time(X1,X2))
    | once(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_12,plain,
    ( ~ connect(X1,X2,X3)
    | once(at_the_same_time(at(X1,X3),at(X2,X3))) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_13,negated_conjecture,
    ( ~ incident_o(esk1_0,trajectory_of(esk2_0))
    | ~ once(at(esk3_0,esk1_0)) ),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_14,plain,
    ( ~ connect(X1,X3,X2)
    | once(at(X1,X2)) ),
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_15,negated_conjecture,
    connect(esk2_0,esk3_0,esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_16,plain,
    ( ~ once(at_the_same_time(X2,X1))
    | once(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_17,negated_conjecture,
    ( ~ once(at(esk2_0,esk1_0))
    | ~ once(at(esk3_0,esk1_0)) ),
    inference(spm,[status(thm)],[c_0_13,c_0_10]) ).

cnf(c_0_18,negated_conjecture,
    once(at(esk2_0,esk1_0)),
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_19,plain,
    ( ~ connect(X3,X1,X2)
    | once(at(X1,X2)) ),
    inference(spm,[status(thm)],[c_0_16,c_0_12]) ).

cnf(c_0_20,negated_conjecture,
    ~ once(at(esk3_0,esk1_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_18])]) ).

cnf(c_0_21,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_15]),c_0_20]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01  % Problem  : GEO147+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.02  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.34   % Computer : n011.cluster.edu
% 0.08/0.34   % Model    : x86_64 x86_64
% 0.08/0.34   % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34   % Memory   : 8046.5625MB
% 0.08/0.34   % OS       : Linux 6.8.0-71-generic
% 0.02/15.23  % CPULimit : 300
% 0.02/15.23  % WCLimit  : 300
% 0.02/15.23  % DateTime : Sun Sep 20 12:44:26 UTC 2026
% 0.02/15.23  % CPUTime  : 
% 0.02/15.23  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.02/15.25  Running first-order theorem proving
% 0.02/15.25  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
% 0.02/15.26  % Version: 3.5.1
% 0.02/15.26  % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.02/15.26  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.02/15.26  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.02/15.26  % Starting new_bool_3 with 300s (1) cores
% 0.02/15.26  % Starting new_bool_1 with 300s (1) cores
% 0.02/15.26  % Starting sh5l with 300s (1) cores
% 0.02/15.26  % new_bool_3 with pid 230920 completed with status 0
% 0.02/15.26  % Result found by new_bool_3
% 0.02/15.26  % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.02/15.26  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.02/15.26  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.02/15.26  % Starting new_bool_3 with 300s (1) cores
% 0.02/15.26  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.02/15.26  % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.02/15.26  % Search class: FGHSF-FFMF21-MFFFFFNN
% 0.02/15.26  % partial match(1): FGHSF-FFMM21-MFFFFFNN
% 0.02/15.26  % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.02/15.26  % Starting SubtermCWHack with 31s (1) cores
% 0.02/15.26  % SubtermCWHack with pid 230923 completed with status 0
% 0.02/15.26  % Result found by SubtermCWHack
% 0.02/15.26  % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.02/15.26  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.02/15.26  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.02/15.26  % Starting new_bool_3 with 300s (1) cores
% 0.02/15.26  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.02/15.26  % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.02/15.26  % Search class: FGHSF-FFMF21-MFFFFFNN
% 0.02/15.26  % partial match(1): FGHSF-FFMM21-MFFFFFNN
% 0.02/15.26  % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.02/15.26  % Starting SubtermCWHack with 31s (1) cores
% 0.02/15.26  % Preprocessing time       : 0.001 s
% 0.02/15.26  
% 0.02/15.26  % Proof found!
% 0.02/15.26  % SZS status Theorem
% 0.02/15.26  % SZS output start CNFRefutation
% See solution above
% 0.02/15.26  % Parsed axioms                        : 37
% 0.02/15.26  % Removed by relevancy pruning/SinE    : 25
% 0.02/15.26  % Initial clauses                      : 20
% 0.02/15.26  % Removed in clause preprocessing      : 0
% 0.02/15.26  % Initial clauses in saturation        : 20
% 0.02/15.26  % Processed clauses                    : 49
% 0.02/15.26  % ...of these trivial                  : 0
% 0.02/15.26  % ...subsumed                          : 18
% 0.02/15.26  % ...remaining for further processing  : 31
% 0.02/15.26  % Other redundant clauses eliminated   : 0
% 0.02/15.26  % Clauses deleted for lack of memory   : 0
% 0.02/15.26  % Backward-subsumed                    : 1
% 0.02/15.26  % Backward-rewritten                   : 1
% 0.02/15.26  % Generated clauses                    : 57
% 0.02/15.26  % ...of the previous two non-redundant : 48
% 0.02/15.26  % ...aggressively subsumed             : 0
% 0.02/15.26  % Contextual simplify-reflections      : 0
% 0.02/15.26  % Paramodulations                      : 55
% 0.02/15.26  % Factorizations                       : 2
% 0.02/15.26  % NegExts                              : 0
% 0.02/15.26  % Equation resolutions                 : 0
% 0.02/15.26  % Disequality decompositions           : 0
% 0.02/15.26  % Total rewrite steps                  : 1
% 0.02/15.26  % ...of those cached                   : 0
% 0.02/15.26  % Propositional unsat checks           : 0
% 0.02/15.26  %    Propositional check models        : 0
% 0.02/15.26  %    Propositional check unsatisfiable : 0
% 0.02/15.26  %    Propositional clauses             : 0
% 0.02/15.26  %    Propositional clauses after purity: 0
% 0.02/15.26  %    Propositional unsat core size     : 0
% 0.02/15.26  %    Propositional preprocessing time  : 0.000
% 0.02/15.26  %    Propositional encoding time       : 0.000
% 0.02/15.26  %    Propositional solver time         : 0.000
% 0.02/15.26  %    Success case prop preproc time    : 0.000
% 0.02/15.26  %    Success case prop encoding time   : 0.000
% 0.02/15.26  %    Success case prop solver time     : 0.000
% 0.02/15.26  % Current number of processed clauses  : 29
% 0.02/15.26  %    Positive orientable unit clauses  : 3
% 0.02/15.26  %    Positive unorientable unit clauses: 0
% 0.02/15.26  %    Negative unit clauses             : 1
% 0.02/15.26  %    Non-unit-clauses                  : 25
% 0.02/15.26  % Current number of unprocessed clauses: 19
% 0.02/15.26  % ...number of literals in the above   : 45
% 0.02/15.26  % Current number of archived formulas  : 0
% 0.02/15.26  % Current number of archived clauses   : 2
% 0.02/15.26  % Clause-clause subsumption calls (NU) : 120
% 0.02/15.26  % Rec. Clause-clause subsumption calls : 120
% 0.02/15.26  % Non-unit clause-clause subsumptions  : 18
% 0.02/15.26  % Unit Clause-clause subsumption calls : 7
% 0.02/15.26  % Rewrite failures with RHS unbound    : 0
% 0.02/15.26  % BW rewrite match attempts            : 1
% 0.02/15.26  % BW rewrite match successes           : 1
% 0.02/15.26  % Condensation attempts                : 0
% 0.02/15.26  % Condensation successes               : 0
% 0.02/15.26  % Termbank termtop insertions          : 2361
% 0.02/15.26  % Search garbage collected termcells   : 543
% 0.02/15.26  
% 0.02/15.26  % -------------------------------------------------
% 0.02/15.26  % User time                : 0.004 s
% 0.02/15.26  % System time              : 0.001 s
% 0.02/15.26  % Total time               : 0.005 s
% 0.02/15.26  % Maximum resident set size: 3696 pages
% 0.02/15.26  
% 0.02/15.26  % -------------------------------------------------
% 0.02/15.26  % User time                : 0.007 s
% 0.02/15.26  % System time              : 0.002 s
% 0.02/15.26  % Total time               : 0.009 s
% 0.02/15.26  % Maximum resident set size: 4608 pages
% 0.02/15.26  % E exiting
%------------------------------------------------------------------------------