TSTP Solution File: SWV056+1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : SWV056+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n026.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 09:42:43 EDT 2024

% Result   : Theorem 0.23s 0.53s
% Output   : CNFRefutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   21 (  17 unt;   0 def)
%            Number of atoms       :   35 (  18 equ)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :   23 (   9   ~;   4   |;   8   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   7 con; 0-3 aty)
%            Number of variables   :    9 (   1 sgn   6   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(cl5_nebula_norm_0040,conjecture,
    ( ( leq(n0,pv25)
      & leq(pv25,minus(n5,n1)) )
   => ( n0 = sum(n0,minus(n0,n1),a_select3(q,pv77,pv25))
      & leq(n0,pv25)
      & leq(pv25,minus(n5,n1)) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.8TOT5HbyyW/E---3.1_2684.p',cl5_nebula_norm_0040) ).

fof(pred_minus_1,axiom,
    ! [X1] : minus(X1,n1) = pred(X1),
    file('/export/starexec/sandbox2/tmp/tmp.8TOT5HbyyW/E---3.1_2684.p',pred_minus_1) ).

fof(pred_succ,axiom,
    ! [X1] : pred(succ(X1)) = X1,
    file('/export/starexec/sandbox2/tmp/tmp.8TOT5HbyyW/E---3.1_2684.p',pred_succ) ).

fof(succ_tptp_minus_1,axiom,
    succ(tptp_minus_1) = n0,
    file('/export/starexec/sandbox2/tmp/tmp.8TOT5HbyyW/E---3.1_2684.p',succ_tptp_minus_1) ).

fof(sum_plus_base,axiom,
    ! [X23] : sum(n0,tptp_minus_1,X23) = n0,
    file('/export/starexec/sandbox2/tmp/tmp.8TOT5HbyyW/E---3.1_2684.p',sum_plus_base) ).

fof(c_0_5,negated_conjecture,
    ~ ( ( leq(n0,pv25)
        & leq(pv25,minus(n5,n1)) )
     => ( n0 = sum(n0,minus(n0,n1),a_select3(q,pv77,pv25))
        & leq(n0,pv25)
        & leq(pv25,minus(n5,n1)) ) ),
    inference(assume_negation,[status(cth)],[cl5_nebula_norm_0040]) ).

fof(c_0_6,negated_conjecture,
    ( leq(n0,pv25)
    & leq(pv25,minus(n5,n1))
    & ( n0 != sum(n0,minus(n0,n1),a_select3(q,pv77,pv25))
      | ~ leq(n0,pv25)
      | ~ leq(pv25,minus(n5,n1)) ) ),
    inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])]) ).

cnf(c_0_7,negated_conjecture,
    ( n0 != sum(n0,minus(n0,n1),a_select3(q,pv77,pv25))
    | ~ leq(n0,pv25)
    | ~ leq(pv25,minus(n5,n1)) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_8,negated_conjecture,
    leq(n0,pv25),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_9,negated_conjecture,
    leq(pv25,minus(n5,n1)),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

fof(c_0_10,plain,
    ! [X45] : minus(X45,n1) = pred(X45),
    inference(variable_rename,[status(thm)],[pred_minus_1]) ).

fof(c_0_11,plain,
    ! [X65] : pred(succ(X65)) = X65,
    inference(variable_rename,[status(thm)],[pred_succ]) ).

cnf(c_0_12,negated_conjecture,
    sum(n0,minus(n0,n1),a_select3(q,pv77,pv25)) != n0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_7,c_0_8]),c_0_9])]) ).

cnf(c_0_13,plain,
    minus(X1,n1) = pred(X1),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_14,plain,
    pred(succ(X1)) = X1,
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_15,plain,
    succ(tptp_minus_1) = n0,
    inference(split_conjunct,[status(thm)],[succ_tptp_minus_1]) ).

fof(c_0_16,plain,
    ! [X55] : sum(n0,tptp_minus_1,X55) = n0,
    inference(variable_rename,[status(thm)],[sum_plus_base]) ).

cnf(c_0_17,negated_conjecture,
    sum(n0,pred(n0),a_select3(q,pv77,pv25)) != n0,
    inference(rw,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_18,plain,
    pred(n0) = tptp_minus_1,
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_19,plain,
    sum(n0,tptp_minus_1,X1) = n0,
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_20,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_18]),c_0_19])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14  % Problem    : SWV056+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.07/0.15  % Command    : run_E %s %d THM
% 0.16/0.36  % Computer : n026.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Fri May  3 16:33:23 EDT 2024
% 0.16/0.36  % CPUTime    : 
% 0.23/0.51  Running first-order theorem proving
% 0.23/0.51  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/tmp/tmp.8TOT5HbyyW/E---3.1_2684.p
% 0.23/0.53  # Version: 3.1.0
% 0.23/0.53  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.23/0.53  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.53  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.23/0.53  # Starting new_bool_3 with 300s (1) cores
% 0.23/0.53  # Starting new_bool_1 with 300s (1) cores
% 0.23/0.53  # Starting sh5l with 300s (1) cores
% 0.23/0.53  # new_bool_3 with pid 2763 completed with status 0
% 0.23/0.53  # Result found by new_bool_3
% 0.23/0.53  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.23/0.53  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.53  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.23/0.53  # Starting new_bool_3 with 300s (1) cores
% 0.23/0.53  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.23/0.53  # Search class: FGHSM-FFMM32-MFFFFFNN
% 0.23/0.53  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.23/0.53  # Starting G-E--_200_B02_F1_AE_CS_SP_PI_S0Y with 127s (1) cores
% 0.23/0.53  # G-E--_200_B02_F1_AE_CS_SP_PI_S0Y with pid 2766 completed with status 0
% 0.23/0.53  # Result found by G-E--_200_B02_F1_AE_CS_SP_PI_S0Y
% 0.23/0.53  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.23/0.53  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.53  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.23/0.53  # Starting new_bool_3 with 300s (1) cores
% 0.23/0.53  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.23/0.53  # Search class: FGHSM-FFMM32-MFFFFFNN
% 0.23/0.53  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.23/0.53  # Starting G-E--_200_B02_F1_AE_CS_SP_PI_S0Y with 127s (1) cores
% 0.23/0.53  # Preprocessing time       : 0.002 s
% 0.23/0.53  
% 0.23/0.53  # Proof found!
% 0.23/0.53  # SZS status Theorem
% 0.23/0.53  # SZS output start CNFRefutation
% See solution above
% 0.23/0.53  # Parsed axioms                        : 85
% 0.23/0.53  # Removed by relevancy pruning/SinE    : 23
% 0.23/0.53  # Initial clauses                      : 67
% 0.23/0.53  # Removed in clause preprocessing      : 0
% 0.23/0.53  # Initial clauses in saturation        : 67
% 0.23/0.53  # Processed clauses                    : 82
% 0.23/0.53  # ...of these trivial                  : 0
% 0.23/0.53  # ...subsumed                          : 0
% 0.23/0.53  # ...remaining for further processing  : 82
% 0.23/0.53  # Other redundant clauses eliminated   : 0
% 0.23/0.53  # Clauses deleted for lack of memory   : 0
% 0.23/0.53  # Backward-subsumed                    : 0
% 0.23/0.53  # Backward-rewritten                   : 3
% 0.23/0.53  # Generated clauses                    : 205
% 0.23/0.53  # ...of the previous two non-redundant : 166
% 0.23/0.53  # ...aggressively subsumed             : 0
% 0.23/0.53  # Contextual simplify-reflections      : 0
% 0.23/0.53  # Paramodulations                      : 203
% 0.23/0.53  # Factorizations                       : 2
% 0.23/0.53  # NegExts                              : 0
% 0.23/0.53  # Equation resolutions                 : 0
% 0.23/0.53  # Disequality decompositions           : 0
% 0.23/0.53  # Total rewrite steps                  : 85
% 0.23/0.53  # ...of those cached                   : 65
% 0.23/0.53  # Propositional unsat checks           : 0
% 0.23/0.53  #    Propositional check models        : 0
% 0.23/0.53  #    Propositional check unsatisfiable : 0
% 0.23/0.53  #    Propositional clauses             : 0
% 0.23/0.53  #    Propositional clauses after purity: 0
% 0.23/0.53  #    Propositional unsat core size     : 0
% 0.23/0.53  #    Propositional preprocessing time  : 0.000
% 0.23/0.53  #    Propositional encoding time       : 0.000
% 0.23/0.53  #    Propositional solver time         : 0.000
% 0.23/0.53  #    Success case prop preproc time    : 0.000
% 0.23/0.53  #    Success case prop encoding time   : 0.000
% 0.23/0.53  #    Success case prop solver time     : 0.000
% 0.23/0.53  # Current number of processed clauses  : 79
% 0.23/0.53  #    Positive orientable unit clauses  : 50
% 0.23/0.53  #    Positive unorientable unit clauses: 0
% 0.23/0.53  #    Negative unit clauses             : 9
% 0.23/0.53  #    Non-unit-clauses                  : 20
% 0.23/0.53  # Current number of unprocessed clauses: 151
% 0.23/0.53  # ...number of literals in the above   : 270
% 0.23/0.53  # Current number of archived formulas  : 0
% 0.23/0.53  # Current number of archived clauses   : 3
% 0.23/0.53  # Clause-clause subsumption calls (NU) : 33
% 0.23/0.53  # Rec. Clause-clause subsumption calls : 8
% 0.23/0.53  # Non-unit clause-clause subsumptions  : 0
% 0.23/0.53  # Unit Clause-clause subsumption calls : 108
% 0.23/0.53  # Rewrite failures with RHS unbound    : 0
% 0.23/0.53  # BW rewrite match attempts            : 5
% 0.23/0.53  # BW rewrite match successes           : 3
% 0.23/0.53  # Condensation attempts                : 0
% 0.23/0.53  # Condensation successes               : 0
% 0.23/0.53  # Termbank termtop insertions          : 5200
% 0.23/0.53  # Search garbage collected termcells   : 582
% 0.23/0.53  
% 0.23/0.53  # -------------------------------------------------
% 0.23/0.53  # User time                : 0.010 s
% 0.23/0.53  # System time              : 0.000 s
% 0.23/0.53  # Total time               : 0.010 s
% 0.23/0.53  # Maximum resident set size: 1908 pages
% 0.23/0.53  
% 0.23/0.53  # -------------------------------------------------
% 0.23/0.53  # User time                : 0.013 s
% 0.23/0.53  # System time              : 0.003 s
% 0.23/0.53  # Total time               : 0.015 s
% 0.23/0.53  # Maximum resident set size: 1796 pages
% 0.23/0.53  % E---3.1 exiting
% 0.23/0.53  % E exiting
%------------------------------------------------------------------------------