TSTP Solution File: NUM322+1 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : NUM322+1 : TPTP v8.2.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n012.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  : 300s
% DateTime : Tue May 21 01:18:52 EDT 2024

% Result   : Theorem 0.19s 0.51s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   13 (   9 unt;   0 def)
%            Number of atoms       :   20 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   15 (   8   ~;   5   |;   1   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-1 aty)
%            Number of variables   :   14 (   1 sgn   7   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(sum_entry_point_posx_negx,axiom,
    ! [X13,X14,X10] :
      ( ( rdn_translate(X13,rdn_pos(X10))
        & rdn_translate(X14,rdn_neg(X10)) )
     => sum(X13,X14,n0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+2.ax',sum_entry_point_posx_negx) ).

fof(sum_n5_nn5_what,conjecture,
    ? [X1] : sum(n5,nn5,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_n5_nn5_what) ).

fof(rdnn5,axiom,
    rdn_translate(nn5,rdn_neg(rdnn(n5))),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdnn5) ).

fof(rdn5,axiom,
    rdn_translate(n5,rdn_pos(rdnn(n5))),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdn5) ).

fof(c_0_4,plain,
    ! [X58,X59,X60] :
      ( ~ rdn_translate(X58,rdn_pos(X60))
      | ~ rdn_translate(X59,rdn_neg(X60))
      | sum(X58,X59,n0) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sum_entry_point_posx_negx])])]) ).

fof(c_0_5,negated_conjecture,
    ~ ? [X1] : sum(n5,nn5,X1),
    inference(assume_negation,[status(cth)],[sum_n5_nn5_what]) ).

cnf(c_0_6,plain,
    ( sum(X1,X3,n0)
    | ~ rdn_translate(X1,rdn_pos(X2))
    | ~ rdn_translate(X3,rdn_neg(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7,plain,
    rdn_translate(nn5,rdn_neg(rdnn(n5))),
    inference(split_conjunct,[status(thm)],[rdnn5]) ).

fof(c_0_8,negated_conjecture,
    ! [X33] : ~ sum(n5,nn5,X33),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])]) ).

cnf(c_0_9,plain,
    ( sum(X1,nn5,n0)
    | ~ rdn_translate(X1,rdn_pos(rdnn(n5))) ),
    inference(spm,[status(thm)],[c_0_6,c_0_7]) ).

cnf(c_0_10,plain,
    rdn_translate(n5,rdn_pos(rdnn(n5))),
    inference(split_conjunct,[status(thm)],[rdn5]) ).

cnf(c_0_11,negated_conjecture,
    ~ sum(n5,nn5,X1),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_12,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : NUM322+1 : TPTP v8.2.0. Released v3.1.0.
% 0.12/0.13  % Command    : run_E %s %d THM
% 0.13/0.34  % Computer : n012.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon May 20 04:55:38 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.19/0.47  Running first-order model finding
% 0.19/0.47  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.51  # Version: 3.1.0
% 0.19/0.51  # Preprocessing class: FSLMSMSLSSSNFFN.
% 0.19/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.51  # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 0.19/0.51  # Starting new_bool_3 with 600s (2) cores
% 0.19/0.51  # Starting new_bool_1 with 600s (2) cores
% 0.19/0.51  # Starting sh5l with 300s (1) cores
% 0.19/0.51  # new_bool_3 with pid 8483 completed with status 0
% 0.19/0.51  # Result found by new_bool_3
% 0.19/0.51  # Preprocessing class: FSLMSMSLSSSNFFN.
% 0.19/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.51  # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 0.19/0.51  # Starting new_bool_3 with 600s (2) cores
% 0.19/0.51  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.19/0.51  # Search class: FHUSF-FFMM21-SFFFFFNN
% 0.19/0.51  # partial match(1): FHUNF-FFMM21-SFFFFFNN
% 0.19/0.51  # Scheduled 5 strats onto 2 cores with 600 seconds (600 total)
% 0.19/0.51  # Starting SAT001_MinMin_p005000_rr_RG with 361s (1) cores
% 0.19/0.51  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 61s (1) cores
% 0.19/0.51  # SAT001_MinMin_p005000_rr_RG with pid 8488 completed with status 0
% 0.19/0.51  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.19/0.51  # Preprocessing class: FSLMSMSLSSSNFFN.
% 0.19/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.51  # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 0.19/0.51  # Starting new_bool_3 with 600s (2) cores
% 0.19/0.51  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.19/0.51  # Search class: FHUSF-FFMM21-SFFFFFNN
% 0.19/0.51  # partial match(1): FHUNF-FFMM21-SFFFFFNN
% 0.19/0.51  # Scheduled 5 strats onto 2 cores with 600 seconds (600 total)
% 0.19/0.51  # Starting SAT001_MinMin_p005000_rr_RG with 361s (1) cores
% 0.19/0.51  # Preprocessing time       : 0.002 s
% 0.19/0.51  # Presaturation interreduction done
% 0.19/0.51  
% 0.19/0.51  # Proof found!
% 0.19/0.51  # SZS status Theorem
% 0.19/0.51  # SZS output start CNFRefutation
% See solution above
% 0.19/0.51  # Parsed axioms                        : 402
% 0.19/0.51  # Removed by relevancy pruning/SinE    : 261
% 0.19/0.51  # Initial clauses                      : 141
% 0.19/0.51  # Removed in clause preprocessing      : 0
% 0.19/0.51  # Initial clauses in saturation        : 141
% 0.19/0.51  # Processed clauses                    : 178
% 0.19/0.51  # ...of these trivial                  : 0
% 0.19/0.51  # ...subsumed                          : 0
% 0.19/0.51  # ...remaining for further processing  : 178
% 0.19/0.51  # Other redundant clauses eliminated   : 0
% 0.19/0.51  # Clauses deleted for lack of memory   : 0
% 0.19/0.51  # Backward-subsumed                    : 0
% 0.19/0.51  # Backward-rewritten                   : 0
% 0.19/0.51  # Generated clauses                    : 12
% 0.19/0.51  # ...of the previous two non-redundant : 11
% 0.19/0.51  # ...aggressively subsumed             : 0
% 0.19/0.51  # Contextual simplify-reflections      : 0
% 0.19/0.51  # Paramodulations                      : 12
% 0.19/0.51  # Factorizations                       : 0
% 0.19/0.51  # NegExts                              : 0
% 0.19/0.51  # Equation resolutions                 : 0
% 0.19/0.51  # Disequality decompositions           : 0
% 0.19/0.51  # Total rewrite steps                  : 0
% 0.19/0.51  # ...of those cached                   : 0
% 0.19/0.51  # Propositional unsat checks           : 0
% 0.19/0.51  #    Propositional check models        : 0
% 0.19/0.51  #    Propositional check unsatisfiable : 0
% 0.19/0.51  #    Propositional clauses             : 0
% 0.19/0.51  #    Propositional clauses after purity: 0
% 0.19/0.51  #    Propositional unsat core size     : 0
% 0.19/0.51  #    Propositional preprocessing time  : 0.000
% 0.19/0.51  #    Propositional encoding time       : 0.000
% 0.19/0.51  #    Propositional solver time         : 0.000
% 0.19/0.51  #    Success case prop preproc time    : 0.000
% 0.19/0.51  #    Success case prop encoding time   : 0.000
% 0.19/0.51  #    Success case prop solver time     : 0.000
% 0.19/0.51  # Current number of processed clauses  : 37
% 0.19/0.51  #    Positive orientable unit clauses  : 26
% 0.19/0.51  #    Positive unorientable unit clauses: 0
% 0.19/0.51  #    Negative unit clauses             : 1
% 0.19/0.51  #    Non-unit-clauses                  : 10
% 0.19/0.51  # Current number of unprocessed clauses: 115
% 0.19/0.51  # ...number of literals in the above   : 176
% 0.19/0.51  # Current number of archived formulas  : 0
% 0.19/0.51  # Current number of archived clauses   : 141
% 0.19/0.51  # Clause-clause subsumption calls (NU) : 311
% 0.19/0.51  # Rec. Clause-clause subsumption calls : 66
% 0.19/0.51  # Non-unit clause-clause subsumptions  : 0
% 0.19/0.51  # Unit Clause-clause subsumption calls : 8
% 0.19/0.51  # Rewrite failures with RHS unbound    : 0
% 0.19/0.51  # BW rewrite match attempts            : 0
% 0.19/0.51  # BW rewrite match successes           : 0
% 0.19/0.51  # Condensation attempts                : 0
% 0.19/0.51  # Condensation successes               : 0
% 0.19/0.51  # Termbank termtop insertions          : 10903
% 0.19/0.51  # Search garbage collected termcells   : 1762
% 0.19/0.51  
% 0.19/0.51  # -------------------------------------------------
% 0.19/0.51  # User time                : 0.011 s
% 0.19/0.51  # System time              : 0.007 s
% 0.19/0.51  # Total time               : 0.018 s
% 0.19/0.51  # Maximum resident set size: 2844 pages
% 0.19/0.51  
% 0.19/0.51  # -------------------------------------------------
% 0.19/0.51  # User time                : 0.026 s
% 0.19/0.51  # System time              : 0.011 s
% 0.19/0.51  # Total time               : 0.038 s
% 0.19/0.51  # Maximum resident set size: 2056 pages
% 0.19/0.51  % E---3.1 exiting
%------------------------------------------------------------------------------