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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : GEO239+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox/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 12:27:56 PM UTC 2026

% Result   : Theorem 0.19s 0.49s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    8 (   3 unt;   0 def)
%            Number of atoms       :   16 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   14 (   6   ~;   1   |;   5   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   12 (   2 sgn  10   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(con,conjecture,
    ! [X3,X6,X4] :
      ( ( left_apart_point(X6,X4)
        & incident_point_and_line(X3,X4) )
     => left_convergent_lines(X4,line_connecting(X3,X6)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).

fof(ax10_basics,axiom,
    ! [X3,X4] :
      ~ ( left_apart_point(X3,reverse_line(X4))
        | left_apart_point(X3,X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO009+0.ax',ax10_basics) ).

fof(c_0_2,negated_conjecture,
    ~ ! [X3,X6,X4] :
        ( ( left_apart_point(X6,X4)
          & incident_point_and_line(X3,X4) )
       => left_convergent_lines(X4,line_connecting(X3,X6)) ),
    inference(assume_negation,[status(cth)],[con]) ).

fof(c_0_3,negated_conjecture,
    ( ~ left_convergent_lines(esk3_0,line_connecting(esk1_0,esk2_0))
    & left_apart_point(esk2_0,esk3_0)
    & incident_point_and_line(esk1_0,esk3_0) ),
    inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])]) ).

fof(c_0_4,plain,
    ! [X52,X53] :
      ( ~ left_apart_point(X52,reverse_line(X53))
      & ~ left_apart_point(X52,X53) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax10_basics])])]) ).

cnf(c_0_5,negated_conjecture,
    left_apart_point(esk2_0,esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_6,plain,
    ~ left_apart_point(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[c_0_5,c_0_6]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : GEO239+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.08  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.43  % Computer : n014.cluster.edu
% 0.13/0.43  % Model    : x86_64 x86_64
% 0.13/0.43  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.43  % Memory   : 8046.5625MB
% 0.13/0.43  % OS       : Linux 6.8.0-71-generic
% 0.13/0.43  % CPULimit : 300
% 0.13/0.43  % WCLimit  : 300
% 0.13/0.43  % DateTime : Sun Sep 20 14:22:04 UTC 2026
% 0.13/0.43  % CPUTime  : 
% 0.13/0.43  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.47  Running first-order theorem proving
% 0.13/0.47  Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 0.19/0.49  % Version: 3.5.1
% 0.19/0.49  % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.19/0.49  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.49  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.19/0.49  % Starting new_bool_3 with 300s (1) cores
% 0.19/0.49  % Starting new_bool_1 with 300s (1) cores
% 0.19/0.49  % Starting sh5l with 300s (1) cores
% 0.19/0.49  % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 1775054 completed with status 0
% 0.19/0.49  % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.19/0.49  % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.19/0.49  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.49  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.19/0.49  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.19/0.49  % No SInE strategy applied
% 0.19/0.49  % Search class: FGHNS-FFMF21-SFFFFFNN
% 0.19/0.49  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.19/0.49  % Starting SubtermCWHack with 136s (1) cores
% 0.19/0.49  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.19/0.49  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.19/0.49  % Starting new_bool_3 with 136s (1) cores
% 0.19/0.49  % Starting new_bool_1 with 136s (1) cores
% 0.19/0.49  % new_bool_3 with pid 1775061 completed with status 0
% 0.19/0.49  % Result found by new_bool_3
% 0.19/0.49  % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.19/0.49  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.49  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.19/0.49  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.19/0.49  % No SInE strategy applied
% 0.19/0.49  % Search class: FGHNS-FFMF21-SFFFFFNN
% 0.19/0.49  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.19/0.49  % Starting SubtermCWHack with 136s (1) cores
% 0.19/0.49  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.19/0.49  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.19/0.49  % Starting new_bool_3 with 136s (1) cores
% 0.19/0.49  % Preprocessing time       : 0.001 s
% 0.19/0.49  % Presaturation interreduction done
% 0.19/0.49  
% 0.19/0.49  % Proof found!
% 0.19/0.49  % SZS status Theorem
% 0.19/0.49  % SZS output start CNFRefutation
% See solution above
% 0.19/0.49  % Parsed axioms                        : 37
% 0.19/0.49  % Removed by relevancy pruning/SinE    : 0
% 0.19/0.49  % Initial clauses                      : 69
% 0.19/0.49  % Removed in clause preprocessing      : 0
% 0.19/0.49  % Initial clauses in saturation        : 69
% 0.19/0.49  % Processed clauses                    : 4
% 0.19/0.49  % ...of these trivial                  : 0
% 0.19/0.49  % ...subsumed                          : 0
% 0.19/0.49  % ...remaining for further processing  : 4
% 0.19/0.49  % Other redundant clauses eliminated   : 0
% 0.19/0.49  % Clauses deleted for lack of memory   : 0
% 0.19/0.49  % Backward-subsumed                    : 0
% 0.19/0.49  % Backward-rewritten                   : 0
% 0.19/0.49  % Generated clauses                    : 1
% 0.19/0.49  % ...of the previous two non-redundant : 0
% 0.19/0.49  % ...aggressively subsumed             : 0
% 0.19/0.49  % Contextual simplify-reflections      : 0
% 0.19/0.49  % Paramodulations                      : 0
% 0.19/0.49  % Factorizations                       : 0
% 0.19/0.49  % NegExts                              : 0
% 0.19/0.49  % Equation resolutions                 : 0
% 0.19/0.49  % Disequality decompositions           : 0
% 0.19/0.49  % Total rewrite steps                  : 0
% 0.19/0.49  % ...of those cached                   : 0
% 0.19/0.49  % Propositional unsat checks           : 0
% 0.19/0.49  %    Propositional check models        : 0
% 0.19/0.49  %    Propositional check unsatisfiable : 0
% 0.19/0.49  %    Propositional clauses             : 0
% 0.19/0.49  %    Propositional clauses after purity: 0
% 0.19/0.49  %    Propositional unsat core size     : 0
% 0.19/0.49  %    Propositional preprocessing time  : 0.000
% 0.19/0.49  %    Propositional encoding time       : 0.000
% 0.19/0.49  %    Propositional solver time         : 0.000
% 0.19/0.49  %    Success case prop preproc time    : 0.000
% 0.19/0.49  %    Success case prop encoding time   : 0.000
% 0.19/0.49  %    Success case prop solver time     : 0.000
% 0.19/0.49  % Current number of processed clauses  : 3
% 0.19/0.49  %    Positive orientable unit clauses  : 1
% 0.19/0.49  %    Positive unorientable unit clauses: 0
% 0.19/0.49  %    Negative unit clauses             : 2
% 0.19/0.49  %    Non-unit-clauses                  : 0
% 0.19/0.49  % Current number of unprocessed clauses: 65
% 0.19/0.49  % ...number of literals in the above   : 173
% 0.19/0.49  % Current number of archived formulas  : 0
% 0.19/0.49  % Current number of archived clauses   : 1
% 0.19/0.49  % Clause-clause subsumption calls (NU) : 0
% 0.19/0.49  % Rec. Clause-clause subsumption calls : 0
% 0.19/0.49  % Non-unit clause-clause subsumptions  : 0
% 0.19/0.49  % Unit Clause-clause subsumption calls : 0
% 0.19/0.49  % Rewrite failures with RHS unbound    : 0
% 0.19/0.49  % BW rewrite match attempts            : 0
% 0.19/0.49  % BW rewrite match successes           : 0
% 0.19/0.49  % Condensation attempts                : 0
% 0.19/0.49  % Condensation successes               : 0
% 0.19/0.49  % Termbank termtop insertions          : 4074
% 0.19/0.49  % Search garbage collected termcells   : 738
% 0.19/0.49  
% 0.19/0.49  % -------------------------------------------------
% 0.19/0.49  % User time                : 0.003 s
% 0.19/0.49  % System time              : 0.003 s
% 0.19/0.49  % Total time               : 0.006 s
% 0.19/0.49  % Maximum resident set size: 3684 pages
% 0.19/0.49  
% 0.19/0.49  % -------------------------------------------------
% 0.19/0.49  % User time                : 0.012 s
% 0.19/0.49  % System time              : 0.010 s
% 0.19/0.49  % Total time               : 0.022 s
% 0.19/0.49  % Maximum resident set size: 4864 pages
% 0.19/0.49  % E exiting
%------------------------------------------------------------------------------