TSTP Solution File: NUM630+1 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : NUM630+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n031.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 : Sat May  4 09:07:06 EDT 2024

% Result   : Theorem 0.16s 0.55s
% Output   : CNFRefutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   17 (  11 unt;   0 def)
%            Number of atoms       :   41 (  16 equ)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives :   37 (  13   ~;  10   |;  12   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   3 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   20 (  20 usr;  12 con; 0-2 aty)
%            Number of variables   :    7 (   0 sgn   4   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(m__,conjecture,
    sdtlpdtrp0(xc,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn)))) = sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP),
    file('/export/starexec/sandbox/tmp/tmp.ImVzg0H2mq/E---3.1_12581.p',m__) ).

fof(m__4151,hypothesis,
    ( aFunction0(xC)
    & szDzozmdt0(xC) = szNzAzT0
    & ! [X1] :
        ( aElementOf0(X1,szNzAzT0)
       => ( aFunction0(sdtlpdtrp0(xC,X1))
          & szDzozmdt0(sdtlpdtrp0(xC,X1)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk)
          & ! [X2] :
              ( ( aSet0(X2)
                & aElementOf0(X2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk)) )
             => sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2) = sdtlpdtrp0(xc,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1)))) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.ImVzg0H2mq/E---3.1_12581.p',m__4151) ).

fof(m__5585,hypothesis,
    xD = sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))),
    file('/export/starexec/sandbox/tmp/tmp.ImVzg0H2mq/E---3.1_12581.p',m__5585) ).

fof(m__5309,hypothesis,
    ( aElementOf0(xn,sdtlbdtrb0(xd,szDzizrdt0(xd)))
    & aElementOf0(xn,szNzAzT0)
    & sdtlpdtrp0(xe,xn) = xp ),
    file('/export/starexec/sandbox/tmp/tmp.ImVzg0H2mq/E---3.1_12581.p',m__5309) ).

fof(m__5599,hypothesis,
    aElementOf0(xP,slbdtsldtrb0(xD,xk)),
    file('/export/starexec/sandbox/tmp/tmp.ImVzg0H2mq/E---3.1_12581.p',m__5599) ).

fof(m__5164,hypothesis,
    ( aSet0(xP)
    & xP = sdtmndt0(xQ,szmzizndt0(xQ)) ),
    file('/export/starexec/sandbox/tmp/tmp.ImVzg0H2mq/E---3.1_12581.p',m__5164) ).

fof(c_0_6,negated_conjecture,
    sdtlpdtrp0(xc,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn)))) != sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[m__])]) ).

fof(c_0_7,hypothesis,
    ! [X191,X192] :
      ( aFunction0(xC)
      & szDzozmdt0(xC) = szNzAzT0
      & ( aFunction0(sdtlpdtrp0(xC,X191))
        | ~ aElementOf0(X191,szNzAzT0) )
      & ( szDzozmdt0(sdtlpdtrp0(xC,X191)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X191),szmzizndt0(sdtlpdtrp0(xN,X191))),xk)
        | ~ aElementOf0(X191,szNzAzT0) )
      & ( ~ aSet0(X192)
        | ~ aElementOf0(X192,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X191),szmzizndt0(sdtlpdtrp0(xN,X191))),xk))
        | sdtlpdtrp0(sdtlpdtrp0(xC,X191),X192) = sdtlpdtrp0(xc,sdtpldt0(X192,szmzizndt0(sdtlpdtrp0(xN,X191))))
        | ~ aElementOf0(X191,szNzAzT0) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__4151])])])])]) ).

fof(c_0_8,negated_conjecture,
    sdtlpdtrp0(xc,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn)))) != sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP),
    inference(fof_nnf,[status(thm)],[c_0_6]) ).

cnf(c_0_9,hypothesis,
    ( sdtlpdtrp0(sdtlpdtrp0(xC,X2),X1) = sdtlpdtrp0(xc,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X2))))
    | ~ aSet0(X1)
    | ~ aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X2),szmzizndt0(sdtlpdtrp0(xN,X2))),xk))
    | ~ aElementOf0(X2,szNzAzT0) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_10,hypothesis,
    xD = sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))),
    inference(split_conjunct,[status(thm)],[m__5585]) ).

cnf(c_0_11,hypothesis,
    aElementOf0(xn,szNzAzT0),
    inference(split_conjunct,[status(thm)],[m__5309]) ).

cnf(c_0_12,negated_conjecture,
    sdtlpdtrp0(xc,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn)))) != sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_13,hypothesis,
    ( sdtlpdtrp0(xc,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,xn)))) = sdtlpdtrp0(sdtlpdtrp0(xC,xn),X1)
    | ~ aElementOf0(X1,slbdtsldtrb0(xD,xk))
    | ~ aSet0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11])]) ).

cnf(c_0_14,hypothesis,
    aElementOf0(xP,slbdtsldtrb0(xD,xk)),
    inference(split_conjunct,[status(thm)],[m__5599]) ).

cnf(c_0_15,hypothesis,
    aSet0(xP),
    inference(split_conjunct,[status(thm)],[m__5164]) ).

cnf(c_0_16,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14]),c_0_15])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : NUM630+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.12  % Command    : run_E %s %d THM
% 0.11/0.32  % Computer : n031.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Fri May  3 09:57:16 EDT 2024
% 0.11/0.32  % CPUTime    : 
% 0.16/0.44  Running first-order model finding
% 0.16/0.44  Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.ImVzg0H2mq/E---3.1_12581.p
% 0.16/0.55  # Version: 3.1.0
% 0.16/0.55  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.16/0.55  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.55  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.16/0.55  # Starting new_bool_3 with 300s (1) cores
% 0.16/0.55  # Starting new_bool_1 with 300s (1) cores
% 0.16/0.55  # Starting sh5l with 300s (1) cores
% 0.16/0.55  # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 12659 completed with status 0
% 0.16/0.55  # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.16/0.55  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.16/0.55  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.55  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.16/0.55  # No SInE strategy applied
% 0.16/0.55  # Search class: FGHSF-FSLM31-MFFFFFNN
% 0.16/0.55  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/0.55  # Starting G-E--_110_C45_F1_PI_AE_Q4_CS_SP_PS_S4S with 811s (1) cores
% 0.16/0.55  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.16/0.55  # Starting SAT001_MinMin_p005000_rr_RG with 136s (1) cores
% 0.16/0.55  # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S070I with 136s (1) cores
% 0.16/0.55  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S2S with 136s (1) cores
% 0.16/0.55  # SAT001_MinMin_p005000_rr_RG with pid 12666 completed with status 0
% 0.16/0.55  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.16/0.55  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.16/0.55  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.55  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.16/0.55  # No SInE strategy applied
% 0.16/0.55  # Search class: FGHSF-FSLM31-MFFFFFNN
% 0.16/0.55  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/0.55  # Starting G-E--_110_C45_F1_PI_AE_Q4_CS_SP_PS_S4S with 811s (1) cores
% 0.16/0.55  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.16/0.55  # Starting SAT001_MinMin_p005000_rr_RG with 136s (1) cores
% 0.16/0.55  # Preprocessing time       : 0.003 s
% 0.16/0.55  # Presaturation interreduction done
% 0.16/0.55  
% 0.16/0.55  # Proof found!
% 0.16/0.55  # SZS status Theorem
% 0.16/0.55  # SZS output start CNFRefutation
% See solution above
% 0.16/0.55  # Parsed axioms                        : 116
% 0.16/0.55  # Removed by relevancy pruning/SinE    : 0
% 0.16/0.55  # Initial clauses                      : 222
% 0.16/0.55  # Removed in clause preprocessing      : 7
% 0.16/0.55  # Initial clauses in saturation        : 215
% 0.16/0.55  # Processed clauses                    : 1270
% 0.16/0.55  # ...of these trivial                  : 13
% 0.16/0.55  # ...subsumed                          : 361
% 0.16/0.55  # ...remaining for further processing  : 896
% 0.16/0.55  # Other redundant clauses eliminated   : 54
% 0.16/0.55  # Clauses deleted for lack of memory   : 0
% 0.16/0.55  # Backward-subsumed                    : 45
% 0.16/0.55  # Backward-rewritten                   : 21
% 0.16/0.55  # Generated clauses                    : 2362
% 0.16/0.55  # ...of the previous two non-redundant : 2080
% 0.16/0.55  # ...aggressively subsumed             : 0
% 0.16/0.55  # Contextual simplify-reflections      : 41
% 0.16/0.55  # Paramodulations                      : 2309
% 0.16/0.55  # Factorizations                       : 0
% 0.16/0.55  # NegExts                              : 0
% 0.16/0.55  # Equation resolutions                 : 58
% 0.16/0.55  # Disequality decompositions           : 0
% 0.16/0.55  # Total rewrite steps                  : 1859
% 0.16/0.55  # ...of those cached                   : 1761
% 0.16/0.55  # Propositional unsat checks           : 0
% 0.16/0.55  #    Propositional check models        : 0
% 0.16/0.55  #    Propositional check unsatisfiable : 0
% 0.16/0.55  #    Propositional clauses             : 0
% 0.16/0.55  #    Propositional clauses after purity: 0
% 0.16/0.55  #    Propositional unsat core size     : 0
% 0.16/0.55  #    Propositional preprocessing time  : 0.000
% 0.16/0.55  #    Propositional encoding time       : 0.000
% 0.16/0.55  #    Propositional solver time         : 0.000
% 0.16/0.55  #    Success case prop preproc time    : 0.000
% 0.16/0.55  #    Success case prop encoding time   : 0.000
% 0.16/0.55  #    Success case prop solver time     : 0.000
% 0.16/0.55  # Current number of processed clauses  : 577
% 0.16/0.55  #    Positive orientable unit clauses  : 116
% 0.16/0.55  #    Positive unorientable unit clauses: 0
% 0.16/0.55  #    Negative unit clauses             : 39
% 0.16/0.55  #    Non-unit-clauses                  : 422
% 0.16/0.55  # Current number of unprocessed clauses: 1206
% 0.16/0.55  # ...number of literals in the above   : 6342
% 0.16/0.55  # Current number of archived formulas  : 0
% 0.16/0.55  # Current number of archived clauses   : 279
% 0.16/0.55  # Clause-clause subsumption calls (NU) : 24711
% 0.16/0.55  # Rec. Clause-clause subsumption calls : 9117
% 0.16/0.55  # Non-unit clause-clause subsumptions  : 211
% 0.16/0.55  # Unit Clause-clause subsumption calls : 2671
% 0.16/0.55  # Rewrite failures with RHS unbound    : 0
% 0.16/0.55  # BW rewrite match attempts            : 18
% 0.16/0.55  # BW rewrite match successes           : 18
% 0.16/0.55  # Condensation attempts                : 0
% 0.16/0.55  # Condensation successes               : 0
% 0.16/0.55  # Termbank termtop insertions          : 56460
% 0.16/0.55  # Search garbage collected termcells   : 3744
% 0.16/0.55  
% 0.16/0.55  # -------------------------------------------------
% 0.16/0.55  # User time                : 0.090 s
% 0.16/0.55  # System time              : 0.007 s
% 0.16/0.55  # Total time               : 0.097 s
% 0.16/0.55  # Maximum resident set size: 2472 pages
% 0.16/0.55  
% 0.16/0.55  # -------------------------------------------------
% 0.16/0.55  # User time                : 0.413 s
% 0.16/0.55  # System time              : 0.029 s
% 0.16/0.55  # Total time               : 0.442 s
% 0.16/0.55  # Maximum resident set size: 1836 pages
% 0.16/0.55  % E---3.1 exiting
%------------------------------------------------------------------------------