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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SET915+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/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 02:15:45 PM UTC 2026

% Result   : Theorem 0.14s 0.45s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   11 (   3 unt;   0 def)
%            Number of atoms       :   19 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   19 (  11   ~;   2   |;   1   &)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-1 aty)
%            Number of variables   :   14 (   0 sgn  12   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(t56_zfmisc_1,conjecture,
    ! [X1,X2] :
      ( ~ in(X1,X2)
     => disjoint(singleton(X1),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t56_zfmisc_1) ).

fof(l28_zfmisc_1,axiom,
    ! [X1,X2] :
      ( ~ in(X1,X2)
     => disjoint(singleton(X1),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l28_zfmisc_1) ).

fof(c_0_2,negated_conjecture,
    ~ ! [X1,X2] :
        ( ~ in(X1,X2)
       => disjoint(singleton(X1),X2) ),
    inference(assume_negation,[status(cth)],[t56_zfmisc_1]) ).

fof(c_0_3,negated_conjecture,
    ~ ! [X1,X2] :
        ( ~ in(X1,X2)
       => disjoint(singleton(X1),X2) ),
    inference(fof_simplification,[status(thm)],[c_0_2]) ).

fof(c_0_4,plain,
    ! [X1,X2] :
      ( ~ in(X1,X2)
     => disjoint(singleton(X1),X2) ),
    inference(fof_simplification,[status(thm)],[l28_zfmisc_1]) ).

fof(c_0_5,negated_conjecture,
    ( ~ disjoint(singleton(esk3_0),esk4_0)
    & ~ in(esk3_0,esk4_0) ),
    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_6,plain,
    ! [X11,X12] :
      ( disjoint(singleton(X11),X12)
      | in(X11,X12) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])]) ).

cnf(c_0_7,negated_conjecture,
    ~ disjoint(singleton(esk3_0),esk4_0),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_8,plain,
    ( disjoint(singleton(X1),X2)
    | in(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_9,negated_conjecture,
    ~ in(esk3_0,esk4_0),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_10,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_9]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SET915+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.35  % Computer : n014.cluster.edu
% 0.09/0.35  % Model    : x86_64 x86_64
% 0.09/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35  % Memory   : 8046.5625MB
% 0.09/0.35  % OS       : Linux 6.8.0-71-generic
% 0.09/0.35  % CPULimit : 300
% 0.09/0.35  % WCLimit  : 300
% 0.09/0.35  % DateTime : Mon Sep 21 05:43:34 UTC 2026
% 0.09/0.35  % CPUTime  : 
% 0.09/0.35  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.42  Running first-order theorem proving
% 0.14/0.42  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
% 0.14/0.45  % Version: 3.5.1
% 0.14/0.45  % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.14/0.45  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.45  % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.14/0.45  % Starting new_bool_3 with 300s (1) cores
% 0.14/0.45  % Starting new_bool_1 with 300s (1) cores
% 0.14/0.45  % Starting sh5l with 300s (1) cores
% 0.14/0.45  % G-E--_302_C18_F1_URBAN_RG_S04BN with pid 3259800 completed with status 0
% 0.14/0.45  % Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 0.14/0.45  % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.14/0.45  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.45  % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.14/0.45  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.14/0.45  % No SInE strategy applied
% 0.14/0.45  % Search class: FGHNF-FFSF11-SFFFFFNN
% 0.14/0.45  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/0.45  % Starting SubtermCWHack with 136s (1) cores
% 0.14/0.45  % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.14/0.45  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.14/0.45  % Starting new_bool_3 with 136s (1) cores
% 0.14/0.45  % Starting new_bool_1 with 136s (1) cores
% 0.14/0.45  % new_bool_3 with pid 3259807 completed with status 0
% 0.14/0.45  % Result found by new_bool_3
% 0.14/0.45  % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.14/0.45  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.45  % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.14/0.45  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.14/0.45  % No SInE strategy applied
% 0.14/0.45  % Search class: FGHNF-FFSF11-SFFFFFNN
% 0.14/0.45  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/0.45  % Starting SubtermCWHack with 136s (1) cores
% 0.14/0.45  % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.14/0.45  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.14/0.45  % Starting new_bool_3 with 136s (1) cores
% 0.14/0.45  % Preprocessing time       : 0.001 s
% 0.14/0.45  % Presaturation interreduction done
% 0.14/0.45  
% 0.14/0.45  % Proof found!
% 0.14/0.45  % SZS status Theorem
% 0.14/0.45  % SZS output start CNFRefutation
% See solution above
% 0.14/0.45  % Parsed axioms                        : 6
% 0.14/0.45  % Removed by relevancy pruning/SinE    : 0
% 0.14/0.45  % Initial clauses                      : 7
% 0.14/0.45  % Removed in clause preprocessing      : 0
% 0.14/0.45  % Initial clauses in saturation        : 7
% 0.14/0.45  % Processed clauses                    : 12
% 0.14/0.45  % ...of these trivial                  : 0
% 0.14/0.45  % ...subsumed                          : 0
% 0.14/0.45  % ...remaining for further processing  : 12
% 0.14/0.45  % Other redundant clauses eliminated   : 0
% 0.14/0.45  % Clauses deleted for lack of memory   : 0
% 0.14/0.45  % Backward-subsumed                    : 0
% 0.14/0.45  % Backward-rewritten                   : 0
% 0.14/0.45  % Generated clauses                    : 1
% 0.14/0.45  % ...of the previous two non-redundant : 0
% 0.14/0.45  % ...aggressively subsumed             : 0
% 0.14/0.45  % Contextual simplify-reflections      : 0
% 0.14/0.45  % Paramodulations                      : 1
% 0.14/0.45  % Factorizations                       : 0
% 0.14/0.45  % NegExts                              : 0
% 0.14/0.45  % Equation resolutions                 : 0
% 0.14/0.45  % Disequality decompositions           : 0
% 0.14/0.45  % Total rewrite steps                  : 0
% 0.14/0.45  % ...of those cached                   : 0
% 0.14/0.45  % Propositional unsat checks           : 0
% 0.14/0.45  %    Propositional check models        : 0
% 0.14/0.45  %    Propositional check unsatisfiable : 0
% 0.14/0.45  %    Propositional clauses             : 0
% 0.14/0.45  %    Propositional clauses after purity: 0
% 0.14/0.45  %    Propositional unsat core size     : 0
% 0.14/0.45  %    Propositional preprocessing time  : 0.000
% 0.14/0.45  %    Propositional encoding time       : 0.000
% 0.14/0.45  %    Propositional solver time         : 0.000
% 0.14/0.45  %    Success case prop preproc time    : 0.000
% 0.14/0.45  %    Success case prop encoding time   : 0.000
% 0.14/0.45  %    Success case prop solver time     : 0.000
% 0.14/0.45  % Current number of processed clauses  : 5
% 0.14/0.45  %    Positive orientable unit clauses  : 1
% 0.14/0.45  %    Positive unorientable unit clauses: 0
% 0.14/0.45  %    Negative unit clauses             : 3
% 0.14/0.45  %    Non-unit-clauses                  : 1
% 0.14/0.45  % Current number of unprocessed clauses: 2
% 0.14/0.45  % ...number of literals in the above   : 4
% 0.14/0.45  % Current number of archived formulas  : 0
% 0.14/0.45  % Current number of archived clauses   : 7
% 0.14/0.45  % Clause-clause subsumption calls (NU) : 0
% 0.14/0.45  % Rec. Clause-clause subsumption calls : 0
% 0.14/0.45  % Non-unit clause-clause subsumptions  : 0
% 0.14/0.45  % Unit Clause-clause subsumption calls : 0
% 0.14/0.45  % Rewrite failures with RHS unbound    : 0
% 0.14/0.45  % BW rewrite match attempts            : 0
% 0.14/0.45  % BW rewrite match successes           : 0
% 0.14/0.45  % Condensation attempts                : 0
% 0.14/0.45  % Condensation successes               : 0
% 0.14/0.45  % Termbank termtop insertions          : 357
% 0.14/0.45  % Search garbage collected termcells   : 62
% 0.14/0.45  
% 0.14/0.45  % -------------------------------------------------
% 0.14/0.45  % User time                : 0.004 s
% 0.14/0.45  % System time              : 0.002 s
% 0.14/0.45  % Total time               : 0.006 s
% 0.14/0.45  % Maximum resident set size: 3628 pages
% 0.14/0.45  
% 0.14/0.45  % -------------------------------------------------
% 0.14/0.45  % User time                : 0.007 s
% 0.14/0.45  % System time              : 0.018 s
% 0.14/0.45  % Total time               : 0.025 s
% 0.14/0.45  % Maximum resident set size: 4608 pages
% 0.14/0.45  % E exiting
%------------------------------------------------------------------------------