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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SWW383+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n009.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 03:10:25 PM UTC 2026

% Result   : Theorem 0.46s 0.99s
% Output   : CNFRefutation 0.46s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   15 (  11 unt;   0 def)
%            Number of atoms       :   22 (   7 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   17 (  10   ~;   5   |;   0   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   2 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :    9 (   3 sgn   4   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(conj_6,conjecture,
    hBOOL(hAPP(c_Com_OWT,v_y)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_6) ).

fof(fact_WT__bodiesD,axiom,
    ! [X9,X10] :
      ( c_Com_OWT__bodies
     => ( hAPP(c_Com_Obody,X10) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),X9)
       => hBOOL(hAPP(c_Com_OWT,X9)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_WT__bodiesD) ).

fof(conj_0,hypothesis,
    c_Com_OWT__bodies,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).

fof(conj_4,hypothesis,
    hAPP(c_Com_Obody,v_pn) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),v_y),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_4) ).

fof(c_0_4,negated_conjecture,
    ~ hBOOL(hAPP(c_Com_OWT,v_y)),
    inference(assume_negation,[status(cth)],[conj_6]) ).

fof(c_0_5,plain,
    ! [X327,X328] :
      ( hBOOL(hAPP(c_Com_OWT,X327))
      | hAPP(c_Com_Obody,X328) != hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),X327)
      | ~ c_Com_OWT__bodies ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_WT__bodiesD])])]) ).

fof(c_0_6,negated_conjecture,
    ~ hBOOL(hAPP(c_Com_OWT,v_y)),
    inference(fof_simplification,[status(thm)],[c_0_4]) ).

cnf(c_0_7,plain,
    ( hAPP(c_Com_Obody,X1) != hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),X2)
    | ~ c_Com_OWT__bodies
    | hBOOL(hAPP(c_Com_OWT,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_8,hypothesis,
    c_Com_OWT__bodies,
    inference(split_conjunct,[status(thm)],[conj_0]) ).

fof(c_0_9,negated_conjecture,
    ~ hBOOL(hAPP(c_Com_OWT,v_y)),
    inference(fof_nnf,[status(thm)],[c_0_6]) ).

cnf(c_0_10,plain,
    ( hAPP(c_Com_Obody,X2) != hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),X1)
    | hBOOL(hAPP(c_Com_OWT,X1)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_7,c_0_8])]) ).

cnf(c_0_11,hypothesis,
    hAPP(c_Com_Obody,v_pn) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),v_y),
    inference(split_conjunct,[status(thm)],[conj_4]) ).

cnf(c_0_12,negated_conjecture,
    ~ hBOOL(hAPP(c_Com_OWT,v_y)),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_13,hypothesis,
    hAPP(c_Com_Obody,X1) != hAPP(c_Com_Obody,v_pn),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12]) ).

cnf(c_0_14,hypothesis,
    $false,
    inference(er,[status(thm)],[c_0_13]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWW383+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38  % Computer : n009.cluster.edu
% 0.12/0.38  % Model    : x86_64 x86_64
% 0.12/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38  % Memory   : 8046.5625MB
% 0.12/0.38  % OS       : Linux 6.8.0-71-generic
% 0.12/0.38  % CPULimit : 300
% 0.12/0.38  % WCLimit  : 300
% 0.12/0.38  % DateTime : Mon Sep 21 09:50:27 UTC 2026
% 0.12/0.38  % CPUTime  : 
% 0.12/0.38  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.43  Running first-order theorem proving
% 0.12/0.43  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
% 0.46/0.99  % Version: 3.5.1
% 0.46/0.99  % Preprocessing class: FMLMSLSMSSSNFFN.
% 0.46/0.99  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.46/0.99  % Starting SAT001_MinMin_p005000_rr_RG with 1500s (5) cores
% 0.46/0.99  % Starting new_bool_3 with 300s (1) cores
% 0.46/0.99  % Starting new_bool_1 with 300s (1) cores
% 0.46/0.99  % Starting sh5l with 300s (1) cores
% 0.46/0.99  % new_bool_3 with pid 1454036 completed with status 0
% 0.46/0.99  % Result found by new_bool_3
% 0.46/0.99  % Preprocessing class: FMLMSLSMSSSNFFN.
% 0.46/0.99  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.46/0.99  % Starting SAT001_MinMin_p005000_rr_RG with 1500s (5) cores
% 0.46/0.99  % Starting new_bool_3 with 300s (1) cores
% 0.46/0.99  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.46/0.99  % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.46/0.99  % Search class: FGHSM-SMLM33-DFFFFFNN
% 0.46/0.99  % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.46/0.99  % Starting SubtermCWHack with 28s (1) cores
% 0.46/0.99  % SubtermCWHack with pid 1454043 completed with status 0
% 0.46/0.99  % Result found by SubtermCWHack
% 0.46/0.99  % Preprocessing class: FMLMSLSMSSSNFFN.
% 0.46/0.99  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.46/0.99  % Starting SAT001_MinMin_p005000_rr_RG with 1500s (5) cores
% 0.46/0.99  % Starting new_bool_3 with 300s (1) cores
% 0.46/0.99  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.46/0.99  % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.46/0.99  % Search class: FGHSM-SMLM33-DFFFFFNN
% 0.46/0.99  % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.46/0.99  % Starting SubtermCWHack with 28s (1) cores
% 0.46/0.99  % Preprocessing time       : 0.046 s
% 0.46/0.99  
% 0.46/0.99  % Proof found!
% 0.46/0.99  % SZS status Theorem
% 0.46/0.99  % SZS output start CNFRefutation
% See solution above
% 0.46/0.99  % Parsed axioms                        : 5248
% 0.46/0.99  % Removed by relevancy pruning/SinE    : 3098
% 0.46/0.99  % Initial clauses                      : 3288
% 0.46/0.99  % Removed in clause preprocessing      : 95
% 0.46/0.99  % Initial clauses in saturation        : 3193
% 0.46/0.99  % Processed clauses                    : 683
% 0.46/0.99  % ...of these trivial                  : 36
% 0.46/0.99  % ...subsumed                          : 136
% 0.46/0.99  % ...remaining for further processing  : 511
% 0.46/0.99  % Other redundant clauses eliminated   : 72
% 0.46/0.99  % Clauses deleted for lack of memory   : 0
% 0.46/0.99  % Backward-subsumed                    : 6
% 0.46/0.99  % Backward-rewritten                   : 34
% 0.46/0.99  % Generated clauses                    : 1382
% 0.46/0.99  % ...of the previous two non-redundant : 1188
% 0.46/0.99  % ...aggressively subsumed             : 0
% 0.46/0.99  % Contextual simplify-reflections      : 0
% 0.46/0.99  % Paramodulations                      : 1303
% 0.46/0.99  % Factorizations                       : 2
% 0.46/0.99  % NegExts                              : 0
% 0.46/0.99  % Equation resolutions                 : 84
% 0.46/0.99  % Disequality decompositions           : 0
% 0.46/0.99  % Total rewrite steps                  : 559
% 0.46/0.99  % ...of those cached                   : 348
% 0.46/0.99  % Propositional unsat checks           : 0
% 0.46/0.99  %    Propositional check models        : 0
% 0.46/0.99  %    Propositional check unsatisfiable : 0
% 0.46/0.99  %    Propositional clauses             : 0
% 0.46/0.99  %    Propositional clauses after purity: 0
% 0.46/0.99  %    Propositional unsat core size     : 0
% 0.46/0.99  %    Propositional preprocessing time  : 0.000
% 0.46/0.99  %    Propositional encoding time       : 0.000
% 0.46/0.99  %    Propositional solver time         : 0.000
% 0.46/0.99  %    Success case prop preproc time    : 0.000
% 0.46/0.99  %    Success case prop encoding time   : 0.000
% 0.46/0.99  %    Success case prop solver time     : 0.000
% 0.46/0.99  % Current number of processed clauses  : 420
% 0.46/0.99  %    Positive orientable unit clauses  : 199
% 0.46/0.99  %    Positive unorientable unit clauses: 2
% 0.46/0.99  %    Negative unit clauses             : 82
% 0.46/0.99  %    Non-unit-clauses                  : 137
% 0.46/0.99  % Current number of unprocessed clauses: 3041
% 0.46/0.99  % ...number of literals in the above   : 7283
% 0.46/0.99  % Current number of archived formulas  : 0
% 0.46/0.99  % Current number of archived clauses   : 40
% 0.46/0.99  % Clause-clause subsumption calls (NU) : 7414
% 0.46/0.99  % Rec. Clause-clause subsumption calls : 3129
% 0.46/0.99  % Non-unit clause-clause subsumptions  : 39
% 0.46/0.99  % Unit Clause-clause subsumption calls : 685
% 0.46/0.99  % Rewrite failures with RHS unbound    : 0
% 0.46/0.99  % BW rewrite match attempts            : 292
% 0.46/0.99  % BW rewrite match successes           : 36
% 0.46/0.99  % Condensation attempts                : 0
% 0.46/0.99  % Condensation successes               : 0
% 0.46/0.99  % Termbank termtop insertions          : 490603
% 0.46/0.99  % Search garbage collected termcells   : 71401
% 0.46/0.99  
% 0.46/0.99  % -------------------------------------------------
% 0.46/0.99  % User time                : 0.238 s
% 0.46/0.99  % System time              : 0.033 s
% 0.46/0.99  % Total time               : 0.271 s
% 0.46/0.99  % Maximum resident set size: 20936 pages
% 0.46/0.99  
% 0.46/0.99  % -------------------------------------------------
% 0.46/0.99  % User time                : 0.499 s
% 0.46/0.99  % System time              : 0.052 s
% 0.46/0.99  % Total time               : 0.551 s
% 0.46/0.99  % Maximum resident set size: 12288 pages
% 0.46/0.99  % E exiting
%------------------------------------------------------------------------------