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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SWW375+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n001.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 03:10:24 PM UTC 2026

% Result   : Theorem 0.44s 0.97s
% Output   : CNFRefutation 0.44s
% 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_4,conjecture,
    hBOOL(hAPP(c_Com_OWT,v_y)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_4) ).

fof(fact_WT__bodiesD,axiom,
    ! [X4,X5] :
      ( c_Com_OWT__bodies
     => ( hAPP(c_Com_Obody,X5) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),X4)
       => hBOOL(hAPP(c_Com_OWT,X4)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_WT__bodiesD) ).

fof(conj_1,hypothesis,
    c_Com_OWT__bodies,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).

fof(conj_3,hypothesis,
    hAPP(c_Com_Obody,v_pn) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),v_y),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_3) ).

fof(c_0_4,negated_conjecture,
    ~ hBOOL(hAPP(c_Com_OWT,v_y)),
    inference(assume_negation,[status(cth)],[conj_4]) ).

fof(c_0_5,plain,
    ! [X343,X344] :
      ( hBOOL(hAPP(c_Com_OWT,X343))
      | hAPP(c_Com_Obody,X344) != hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),X343)
      | ~ 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_1]) ).

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_3]) ).

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  : SWW375+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.36  % Computer : n001.cluster.edu
% 0.10/0.36  % Model    : x86_64 x86_64
% 0.10/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36  % Memory   : 8046.5625MB
% 0.10/0.36  % OS       : Linux 6.8.0-71-generic
% 0.10/0.36  % CPULimit : 300
% 0.10/0.36  % WCLimit  : 300
% 0.10/0.36  % DateTime : Mon Sep 21 09:55:44 UTC 2026
% 0.10/0.36  % CPUTime  : 
% 0.10/0.36  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.41  Running first-order theorem proving
% 0.10/0.41  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
% 0.44/0.97  % Version: 3.5.1
% 0.44/0.97  % Preprocessing class: FMLMSLSMSSSNFFN.
% 0.44/0.97  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.44/0.97  % Starting SAT001_MinMin_p005000_rr_RG with 1500s (5) cores
% 0.44/0.97  % Starting new_bool_3 with 300s (1) cores
% 0.44/0.97  % Starting new_bool_1 with 300s (1) cores
% 0.44/0.97  % Starting sh5l with 300s (1) cores
% 0.44/0.97  % new_bool_1 with pid 2830130 completed with status 0
% 0.44/0.97  % Result found by new_bool_1
% 0.44/0.97  % Preprocessing class: FMLMSLSMSSSNFFN.
% 0.44/0.97  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.44/0.97  % Starting SAT001_MinMin_p005000_rr_RG with 1500s (5) cores
% 0.44/0.97  % Starting new_bool_3 with 300s (1) cores
% 0.44/0.97  % Starting new_bool_1 with 300s (1) cores
% 0.44/0.97  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.44/0.97  % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.44/0.97  % Search class: FGHSM-SMLM32-DFFFFFNN
% 0.44/0.97  % Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 0.44/0.97  % Starting SubtermCWHack with 28s (1) cores
% 0.44/0.97  % SubtermCWHack with pid 2830132 completed with status 0
% 0.44/0.97  % Result found by SubtermCWHack
% 0.44/0.97  % Preprocessing class: FMLMSLSMSSSNFFN.
% 0.44/0.97  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.44/0.97  % Starting SAT001_MinMin_p005000_rr_RG with 1500s (5) cores
% 0.44/0.97  % Starting new_bool_3 with 300s (1) cores
% 0.44/0.97  % Starting new_bool_1 with 300s (1) cores
% 0.44/0.97  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.44/0.97  % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.44/0.97  % Search class: FGHSM-SMLM32-DFFFFFNN
% 0.44/0.97  % Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 0.44/0.97  % Starting SubtermCWHack with 28s (1) cores
% 0.44/0.97  % Preprocessing time       : 0.072 s
% 0.44/0.97  
% 0.44/0.97  % Proof found!
% 0.44/0.97  % SZS status Theorem
% 0.44/0.97  % SZS output start CNFRefutation
% See solution above
% 0.44/0.97  % Parsed axioms                        : 5230
% 0.44/0.97  % Removed by relevancy pruning/SinE    : 3599
% 0.44/0.97  % Initial clauses                      : 2391
% 0.44/0.97  % Removed in clause preprocessing      : 84
% 0.44/0.97  % Initial clauses in saturation        : 2307
% 0.44/0.97  % Processed clauses                    : 452
% 0.44/0.97  % ...of these trivial                  : 30
% 0.44/0.97  % ...subsumed                          : 77
% 0.44/0.97  % ...remaining for further processing  : 345
% 0.44/0.97  % Other redundant clauses eliminated   : 48
% 0.44/0.97  % Clauses deleted for lack of memory   : 0
% 0.44/0.97  % Backward-subsumed                    : 5
% 0.44/0.97  % Backward-rewritten                   : 39
% 0.44/0.97  % Generated clauses                    : 746
% 0.44/0.97  % ...of the previous two non-redundant : 642
% 0.44/0.97  % ...aggressively subsumed             : 0
% 0.44/0.97  % Contextual simplify-reflections      : 0
% 0.44/0.97  % Paramodulations                      : 690
% 0.44/0.97  % Factorizations                       : 2
% 0.44/0.97  % NegExts                              : 0
% 0.44/0.97  % Equation resolutions                 : 59
% 0.44/0.97  % Disequality decompositions           : 0
% 0.44/0.97  % Total rewrite steps                  : 322
% 0.44/0.97  % ...of those cached                   : 212
% 0.44/0.97  % Propositional unsat checks           : 0
% 0.44/0.97  %    Propositional check models        : 0
% 0.44/0.97  %    Propositional check unsatisfiable : 0
% 0.44/0.97  %    Propositional clauses             : 0
% 0.44/0.97  %    Propositional clauses after purity: 0
% 0.44/0.97  %    Propositional unsat core size     : 0
% 0.44/0.97  %    Propositional preprocessing time  : 0.000
% 0.44/0.97  %    Propositional encoding time       : 0.000
% 0.44/0.97  %    Propositional solver time         : 0.000
% 0.44/0.97  %    Success case prop preproc time    : 0.000
% 0.44/0.97  %    Success case prop encoding time   : 0.000
% 0.44/0.97  %    Success case prop solver time     : 0.000
% 0.44/0.97  % Current number of processed clauses  : 272
% 0.44/0.97  %    Positive orientable unit clauses  : 136
% 0.44/0.97  %    Positive unorientable unit clauses: 1
% 0.44/0.97  %    Negative unit clauses             : 58
% 0.44/0.97  %    Non-unit-clauses                  : 77
% 0.44/0.97  % Current number of unprocessed clauses: 2154
% 0.44/0.97  % ...number of literals in the above   : 4917
% 0.44/0.97  % Current number of archived formulas  : 0
% 0.44/0.97  % Current number of archived clauses   : 44
% 0.44/0.97  % Clause-clause subsumption calls (NU) : 1700
% 0.44/0.97  % Rec. Clause-clause subsumption calls : 1147
% 0.44/0.97  % Non-unit clause-clause subsumptions  : 22
% 0.44/0.97  % Unit Clause-clause subsumption calls : 508
% 0.44/0.97  % Rewrite failures with RHS unbound    : 0
% 0.44/0.97  % BW rewrite match attempts            : 149
% 0.44/0.97  % BW rewrite match successes           : 24
% 0.44/0.97  % Condensation attempts                : 0
% 0.44/0.97  % Condensation successes               : 0
% 0.44/0.97  % Termbank termtop insertions          : 397091
% 0.44/0.97  % Search garbage collected termcells   : 64788
% 0.44/0.97  
% 0.44/0.97  % -------------------------------------------------
% 0.44/0.97  % User time                : 0.220 s
% 0.44/0.97  % System time              : 0.039 s
% 0.44/0.97  % Total time               : 0.259 s
% 0.44/0.97  % Maximum resident set size: 19136 pages
% 0.44/0.97  
% 0.44/0.97  % -------------------------------------------------
% 0.44/0.97  % User time                : 0.475 s
% 0.44/0.97  % System time              : 0.060 s
% 0.44/0.97  % Total time               : 0.535 s
% 0.44/0.97  % Maximum resident set size: 12288 pages
% 0.44/0.97  % E exiting
%------------------------------------------------------------------------------