TSTP Solution File: CSR052+2 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : CSR052+2 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n025.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Fri Jul 15 03:01:52 EDT 2022

% Result   : Theorem 0.27s 1.45s
% Output   : CNFRefutation 0.27s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   37 (  23 unt;   0 def)
%            Number of atoms       :   54 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   36 (  19   ~;  12   |;   2   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;  11 con; 0-2 aty)
%            Number of variables   :   17 (   0 sgn   6   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(query102,conjecture,
    ( mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_ukencartamsncomencyclopedia_761573010_4united_states_of_americahtml)),c_translation_33))
   => genls(c_tptpcol_15_40430,c_tptpcol_7_39939) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',query102) ).

fof(ax1_1109,axiom,
    ! [X13,X14,X19] :
      ( ( genls(X13,X14)
        & genls(X14,X19) )
     => genls(X13,X19) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_1109) ).

fof(ax1_438,axiom,
    genls(c_tptpcol_8_39940,c_tptpcol_7_39939),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_438) ).

fof(ax1_54,axiom,
    genls(c_tptpcol_12_40420,c_tptpcol_11_40388),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_54) ).

fof(ax1_470,axiom,
    genls(c_tptpcol_9_40196,c_tptpcol_8_39940),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_470) ).

fof(ax1_16,axiom,
    genls(c_tptpcol_13_40421,c_tptpcol_12_40420),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_16) ).

fof(ax1_76,axiom,
    genls(c_tptpcol_10_40324,c_tptpcol_9_40196),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_76) ).

fof(ax1_186,axiom,
    genls(c_tptpcol_14_40429,c_tptpcol_13_40421),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_186) ).

fof(ax1_424,axiom,
    genls(c_tptpcol_11_40388,c_tptpcol_10_40324),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_424) ).

fof(ax1_4,axiom,
    genls(c_tptpcol_15_40430,c_tptpcol_14_40429),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_4) ).

fof(c_0_10,negated_conjecture,
    ~ ( mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_ukencartamsncomencyclopedia_761573010_4united_states_of_americahtml)),c_translation_33))
     => genls(c_tptpcol_15_40430,c_tptpcol_7_39939) ),
    inference(assume_negation,[status(cth)],[query102]) ).

fof(c_0_11,plain,
    ! [X20,X21,X22] :
      ( ~ genls(X20,X21)
      | ~ genls(X21,X22)
      | genls(X20,X22) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax1_1109])]) ).

fof(c_0_12,negated_conjecture,
    ( mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_ukencartamsncomencyclopedia_761573010_4united_states_of_americahtml)),c_translation_33))
    & ~ genls(c_tptpcol_15_40430,c_tptpcol_7_39939) ),
    inference(fof_nnf,[status(thm)],[c_0_10]) ).

cnf(c_0_13,plain,
    ( genls(X1,X2)
    | ~ genls(X3,X2)
    | ~ genls(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_14,plain,
    genls(c_tptpcol_8_39940,c_tptpcol_7_39939),
    inference(split_conjunct,[status(thm)],[ax1_438]) ).

cnf(c_0_15,plain,
    genls(c_tptpcol_12_40420,c_tptpcol_11_40388),
    inference(split_conjunct,[status(thm)],[ax1_54]) ).

cnf(c_0_16,negated_conjecture,
    ~ genls(c_tptpcol_15_40430,c_tptpcol_7_39939),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_17,plain,
    ( genls(X1,c_tptpcol_7_39939)
    | ~ genls(X1,c_tptpcol_8_39940) ),
    inference(spm,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_18,plain,
    genls(c_tptpcol_9_40196,c_tptpcol_8_39940),
    inference(split_conjunct,[status(thm)],[ax1_470]) ).

cnf(c_0_19,plain,
    ( genls(X1,c_tptpcol_11_40388)
    | ~ genls(X1,c_tptpcol_12_40420) ),
    inference(spm,[status(thm)],[c_0_13,c_0_15]) ).

cnf(c_0_20,plain,
    genls(c_tptpcol_13_40421,c_tptpcol_12_40420),
    inference(split_conjunct,[status(thm)],[ax1_16]) ).

cnf(c_0_21,negated_conjecture,
    ~ genls(c_tptpcol_15_40430,c_tptpcol_8_39940),
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_22,plain,
    ( genls(X1,c_tptpcol_8_39940)
    | ~ genls(X1,c_tptpcol_9_40196) ),
    inference(spm,[status(thm)],[c_0_13,c_0_18]) ).

cnf(c_0_23,plain,
    genls(c_tptpcol_10_40324,c_tptpcol_9_40196),
    inference(split_conjunct,[status(thm)],[ax1_76]) ).

cnf(c_0_24,plain,
    genls(c_tptpcol_13_40421,c_tptpcol_11_40388),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_25,plain,
    genls(c_tptpcol_14_40429,c_tptpcol_13_40421),
    inference(split_conjunct,[status(thm)],[ax1_186]) ).

cnf(c_0_26,negated_conjecture,
    ~ genls(c_tptpcol_15_40430,c_tptpcol_9_40196),
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

cnf(c_0_27,plain,
    ( genls(X1,c_tptpcol_9_40196)
    | ~ genls(X1,c_tptpcol_10_40324) ),
    inference(spm,[status(thm)],[c_0_13,c_0_23]) ).

cnf(c_0_28,plain,
    genls(c_tptpcol_11_40388,c_tptpcol_10_40324),
    inference(split_conjunct,[status(thm)],[ax1_424]) ).

cnf(c_0_29,plain,
    ( genls(X1,c_tptpcol_11_40388)
    | ~ genls(X1,c_tptpcol_13_40421) ),
    inference(spm,[status(thm)],[c_0_13,c_0_24]) ).

cnf(c_0_30,plain,
    ( genls(X1,c_tptpcol_13_40421)
    | ~ genls(X1,c_tptpcol_14_40429) ),
    inference(spm,[status(thm)],[c_0_13,c_0_25]) ).

cnf(c_0_31,negated_conjecture,
    ~ genls(c_tptpcol_15_40430,c_tptpcol_10_40324),
    inference(spm,[status(thm)],[c_0_26,c_0_27]) ).

cnf(c_0_32,plain,
    ( genls(X1,c_tptpcol_10_40324)
    | ~ genls(X1,c_tptpcol_11_40388) ),
    inference(spm,[status(thm)],[c_0_13,c_0_28]) ).

cnf(c_0_33,plain,
    ( genls(X1,c_tptpcol_11_40388)
    | ~ genls(X1,c_tptpcol_14_40429) ),
    inference(spm,[status(thm)],[c_0_29,c_0_30]) ).

cnf(c_0_34,plain,
    genls(c_tptpcol_15_40430,c_tptpcol_14_40429),
    inference(split_conjunct,[status(thm)],[ax1_4]) ).

cnf(c_0_35,negated_conjecture,
    ~ genls(c_tptpcol_15_40430,c_tptpcol_11_40388),
    inference(spm,[status(thm)],[c_0_31,c_0_32]) ).

cnf(c_0_36,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : CSR052+2 : TPTP v8.1.0. Released v3.4.0.
% 0.06/0.13  % Command  : run_ET %s %d
% 0.12/0.34  % Computer : n025.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Fri Jun 10 14:33:06 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.27/1.45  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.27/1.45  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.27/1.45  # Preprocessing time       : 0.032 s
% 0.27/1.45  
% 0.27/1.45  # Proof found!
% 0.27/1.45  # SZS status Theorem
% 0.27/1.45  # SZS output start CNFRefutation
% See solution above
% 0.27/1.45  # Proof object total steps             : 37
% 0.27/1.45  # Proof object clause steps            : 24
% 0.27/1.45  # Proof object formula steps           : 13
% 0.27/1.45  # Proof object conjectures             : 8
% 0.27/1.45  # Proof object clause conjectures      : 5
% 0.27/1.45  # Proof object formula conjectures     : 3
% 0.27/1.45  # Proof object initial clauses used    : 10
% 0.27/1.45  # Proof object initial formulas used   : 10
% 0.27/1.45  # Proof object generating inferences   : 14
% 0.27/1.45  # Proof object simplifying inferences  : 1
% 0.27/1.45  # Training examples: 0 positive, 0 negative
% 0.27/1.45  # Parsed axioms                        : 1132
% 0.27/1.45  # Removed by relevancy pruning/SinE    : 1073
% 0.27/1.45  # Initial clauses                      : 60
% 0.27/1.45  # Removed in clause preprocessing      : 0
% 0.27/1.45  # Initial clauses in saturation        : 60
% 0.27/1.45  # Processed clauses                    : 120
% 0.27/1.45  # ...of these trivial                  : 7
% 0.27/1.45  # ...subsumed                          : 15
% 0.27/1.45  # ...remaining for further processing  : 98
% 0.27/1.45  # Other redundant clauses eliminated   : 0
% 0.27/1.45  # Clauses deleted for lack of memory   : 0
% 0.27/1.45  # Backward-subsumed                    : 0
% 0.27/1.45  # Backward-rewritten                   : 0
% 0.27/1.45  # Generated clauses                    : 178
% 0.27/1.45  # ...of the previous two non-trivial   : 103
% 0.27/1.45  # Contextual simplify-reflections      : 0
% 0.27/1.45  # Paramodulations                      : 178
% 0.27/1.45  # Factorizations                       : 0
% 0.27/1.45  # Equation resolutions                 : 0
% 0.27/1.45  # Current number of processed clauses  : 98
% 0.27/1.45  #    Positive orientable unit clauses  : 41
% 0.27/1.45  #    Positive unorientable unit clauses: 0
% 0.27/1.45  #    Negative unit clauses             : 5
% 0.27/1.45  #    Non-unit-clauses                  : 52
% 0.27/1.45  # Current number of unprocessed clauses: 43
% 0.27/1.45  # ...number of literals in the above   : 102
% 0.27/1.45  # Current number of archived formulas  : 0
% 0.27/1.45  # Current number of archived clauses   : 0
% 0.27/1.45  # Clause-clause subsumption calls (NU) : 120
% 0.27/1.45  # Rec. Clause-clause subsumption calls : 117
% 0.27/1.45  # Non-unit clause-clause subsumptions  : 14
% 0.27/1.45  # Unit Clause-clause subsumption calls : 38
% 0.27/1.45  # Rewrite failures with RHS unbound    : 0
% 0.27/1.45  # BW rewrite match attempts            : 0
% 0.27/1.45  # BW rewrite match successes           : 0
% 0.27/1.45  # Condensation attempts                : 0
% 0.27/1.45  # Condensation successes               : 0
% 0.27/1.45  # Termbank termtop insertions          : 10920
% 0.27/1.45  
% 0.27/1.45  # -------------------------------------------------
% 0.27/1.45  # User time                : 0.035 s
% 0.27/1.45  # System time              : 0.002 s
% 0.27/1.45  # Total time               : 0.037 s
% 0.27/1.45  # Maximum resident set size: 5488 pages
%------------------------------------------------------------------------------