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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SWW478+1 : TPTP v9.3.1. Released v5.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n026.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 03:10:55 PM UTC 2026

% Result   : Theorem 0.19s 0.47s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    8 (   8 unt;   0 def)
%            Number of atoms       :    8 (   0 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    4 (   4   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    2 (   2 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :   22 (  22 usr;  12 con; 0-3 aty)
%            Number of variables   :    0 (   0 sgn   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(conj_0,conjecture,
    hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,ea),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,ha),fun_up1149430426on_val(la,v_1,some_val(v))))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,e_a),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,h_a),l_a))),red(p))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).

fof(fact_1_InitBlockRed_I1_J,axiom,
    hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,ea),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,ha),fun_up1149430426on_val(la,v_1,some_val(v))))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,e_a),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,h_a),l_a))),red(p))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1_InitBlockRed_I1_J) ).

fof(c_0_2,negated_conjecture,
    ~ hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,ea),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,ha),fun_up1149430426on_val(la,v_1,some_val(v))))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,e_a),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,h_a),l_a))),red(p))),
    inference(assume_negation,[status(cth)],[conj_0]) ).

fof(c_0_3,negated_conjecture,
    ~ hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,ea),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,ha),fun_up1149430426on_val(la,v_1,some_val(v))))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,e_a),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,h_a),l_a))),red(p))),
    inference(fof_simplification,[status(thm)],[c_0_2]) ).

fof(c_0_4,negated_conjecture,
    ~ hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,ea),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,ha),fun_up1149430426on_val(la,v_1,some_val(v))))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,e_a),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,h_a),l_a))),red(p))),
    inference(fof_nnf,[status(thm)],[c_0_3]) ).

cnf(c_0_5,plain,
    hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,ea),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,ha),fun_up1149430426on_val(la,v_1,some_val(v))))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,e_a),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,h_a),l_a))),red(p))),
    inference(split_conjunct,[status(thm)],[fact_1_InitBlockRed_I1_J]) ).

cnf(c_0_6,negated_conjecture,
    ~ hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,ea),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,ha),fun_up1149430426on_val(la,v_1,some_val(v))))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,e_a),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,h_a),l_a))),red(p))),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWW478+1 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.37  % Computer : n026.cluster.edu
% 0.12/0.37  % Model    : x86_64 x86_64
% 0.12/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37  % Memory   : 8046.5625MB
% 0.12/0.37  % OS       : Linux 6.8.0-71-generic
% 0.12/0.37  % CPULimit : 300
% 0.12/0.37  % WCLimit  : 300
% 0.12/0.37  % DateTime : Mon Sep 21 10:04:53 UTC 2026
% 0.12/0.38  % CPUTime  : 
% 0.12/0.38  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.42  Running first-order theorem proving
% 0.12/0.42  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
% 0.19/0.47  % Version: 3.5.1
% 0.19/0.47  % Preprocessing class: FSLMSMSMSSSNFFN.
% 0.19/0.47  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.47  % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.19/0.47  % Starting new_bool_3 with 600s (2) cores
% 0.19/0.47  % Starting new_bool_1 with 300s (1) cores
% 0.19/0.47  % Starting sh5l with 300s (1) cores
% 0.19/0.47  % new_bool_3 with pid 1990828 completed with status 0
% 0.19/0.47  % Result found by new_bool_3
% 0.19/0.47  % Preprocessing class: FSLMSMSMSSSNFFN.
% 0.19/0.47  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.47  % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.19/0.47  % Starting new_bool_3 with 600s (2) cores
% 0.19/0.47  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.19/0.47  % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.19/0.47  % Search class: FGUSM-FFLF31-DFFFFFNN
% 0.19/0.47  % partial match(1): FGUSM-FFLS31-DFFFFFNN
% 0.19/0.47  % Scheduled 6 strats onto 2 cores with 600 seconds (600 total)
% 0.19/0.47  % Starting SubtermCWHack with 61s (1) cores
% 0.19/0.47  % Starting G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with 300s (1) cores
% 0.19/0.47  % G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with pid 1990833 completed with status 0
% 0.19/0.47  % Result found by G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y
% 0.19/0.47  % Preprocessing class: FSLMSMSMSSSNFFN.
% 0.19/0.47  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.47  % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.19/0.47  % Starting new_bool_3 with 600s (2) cores
% 0.19/0.47  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.19/0.47  % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.19/0.47  % Search class: FGUSM-FFLF31-DFFFFFNN
% 0.19/0.47  % partial match(1): FGUSM-FFLS31-DFFFFFNN
% 0.19/0.47  % Scheduled 6 strats onto 2 cores with 600 seconds (600 total)
% 0.19/0.47  % Starting SubtermCWHack with 61s (1) cores
% 0.19/0.47  % Starting G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with 300s (1) cores
% 0.19/0.47  % Preprocessing time       : 0.003 s
% 0.19/0.47  % Presaturation interreduction done
% 0.19/0.47  
% 0.19/0.47  % Proof found!
% 0.19/0.47  % SZS status Theorem
% 0.19/0.47  % SZS output start CNFRefutation
% See solution above
% 0.19/0.47  % Parsed axioms                        : 213
% 0.19/0.47  % Removed by relevancy pruning/SinE    : 93
% 0.19/0.47  % Initial clauses                      : 186
% 0.19/0.47  % Removed in clause preprocessing      : 20
% 0.19/0.47  % Initial clauses in saturation        : 166
% 0.19/0.47  % Processed clauses                    : 3
% 0.19/0.47  % ...of these trivial                  : 0
% 0.19/0.47  % ...subsumed                          : 0
% 0.19/0.47  % ...remaining for further processing  : 2
% 0.19/0.47  % Other redundant clauses eliminated   : 0
% 0.19/0.47  % Clauses deleted for lack of memory   : 0
% 0.19/0.47  % Backward-subsumed                    : 0
% 0.19/0.47  % Backward-rewritten                   : 0
% 0.19/0.47  % Generated clauses                    : 0
% 0.19/0.47  % ...of the previous two non-redundant : 0
% 0.19/0.47  % ...aggressively subsumed             : 0
% 0.19/0.47  % Contextual simplify-reflections      : 0
% 0.19/0.47  % Paramodulations                      : 0
% 0.19/0.47  % Factorizations                       : 0
% 0.19/0.47  % NegExts                              : 0
% 0.19/0.47  % Equation resolutions                 : 0
% 0.19/0.47  % Disequality decompositions           : 0
% 0.19/0.47  % Total rewrite steps                  : 0
% 0.19/0.47  % ...of those cached                   : 0
% 0.19/0.47  % Propositional unsat checks           : 0
% 0.19/0.47  %    Propositional check models        : 0
% 0.19/0.47  %    Propositional check unsatisfiable : 0
% 0.19/0.47  %    Propositional clauses             : 0
% 0.19/0.47  %    Propositional clauses after purity: 0
% 0.19/0.47  %    Propositional unsat core size     : 0
% 0.19/0.47  %    Propositional preprocessing time  : 0.000
% 0.19/0.47  %    Propositional encoding time       : 0.000
% 0.19/0.47  %    Propositional solver time         : 0.000
% 0.19/0.47  %    Success case prop preproc time    : 0.000
% 0.19/0.47  %    Success case prop encoding time   : 0.000
% 0.19/0.47  %    Success case prop solver time     : 0.000
% 0.19/0.47  % Current number of processed clauses  : 2
% 0.19/0.47  %    Positive orientable unit clauses  : 1
% 0.19/0.47  %    Positive unorientable unit clauses: 0
% 0.19/0.47  %    Negative unit clauses             : 1
% 0.19/0.47  %    Non-unit-clauses                  : 0
% 0.19/0.47  % Current number of unprocessed clauses: 163
% 0.19/0.47  % ...number of literals in the above   : 311
% 0.19/0.47  % Current number of archived formulas  : 0
% 0.19/0.47  % Current number of archived clauses   : 0
% 0.19/0.47  % Clause-clause subsumption calls (NU) : 0
% 0.19/0.47  % Rec. Clause-clause subsumption calls : 0
% 0.19/0.47  % Non-unit clause-clause subsumptions  : 0
% 0.19/0.47  % Unit Clause-clause subsumption calls : 0
% 0.19/0.47  % Rewrite failures with RHS unbound    : 0
% 0.19/0.47  % BW rewrite match attempts            : 0
% 0.19/0.47  % BW rewrite match successes           : 0
% 0.19/0.47  % Condensation attempts                : 0
% 0.19/0.47  % Condensation successes               : 0
% 0.19/0.47  % Termbank termtop insertions          : 17037
% 0.19/0.47  % Search garbage collected termcells   : 4060
% 0.19/0.47  
% 0.19/0.47  % -------------------------------------------------
% 0.19/0.47  % User time                : 0.014 s
% 0.19/0.47  % System time              : 0.006 s
% 0.19/0.47  % Total time               : 0.020 s
% 0.19/0.47  % Maximum resident set size: 4828 pages
% 0.19/0.47  
% 0.19/0.47  % -------------------------------------------------
% 0.19/0.47  % User time                : 0.024 s
% 0.19/0.47  % System time              : 0.016 s
% 0.19/0.47  % Total time               : 0.040 s
% 0.19/0.47  % Maximum resident set size: 5376 pages
% 0.19/0.47  % E exiting
%------------------------------------------------------------------------------