TSTP Solution File: SWV189+1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SWV189+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n014.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 : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 19:56:18 EDT 2023

% Result   : Theorem 0.19s 0.50s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   21 (  11 unt;   0 def)
%            Number of atoms       :   52 (   8 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :   48 (  17   ~;   9   |;  12   &)
%                                         (   0 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   8 con; 0-3 aty)
%            Number of variables   :   28 (   0 sgn;  20   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(irreflexivity_gt,axiom,
    ! [X1] : ~ gt(X1,X1),
    file('/export/starexec/sandbox2/tmp/tmp.hOZ7XDyEnP/E---3.1_23695.p',irreflexivity_gt) ).

fof(cl5_nebula_init_0121,conjecture,
    ( ! [X14] :
        ( ( leq(n0,X14)
          & leq(X14,n4) )
       => a_select3(center_init,X14,n0) = init )
   => ! [X18] :
        ( ( leq(n0,X18)
          & leq(X18,tptp_minus_1) )
       => ! [X4] :
            ( ( leq(n0,X4)
              & leq(X4,n4) )
           => a_select3(q_init,X18,X4) = init ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.hOZ7XDyEnP/E---3.1_23695.p',cl5_nebula_init_0121) ).

fof(leq_succ_gt,axiom,
    ! [X1,X2] :
      ( leq(succ(X1),X2)
     => gt(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.hOZ7XDyEnP/E---3.1_23695.p',leq_succ_gt) ).

fof(transitivity_leq,axiom,
    ! [X1,X2,X3] :
      ( ( leq(X1,X2)
        & leq(X2,X3) )
     => leq(X1,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.hOZ7XDyEnP/E---3.1_23695.p',transitivity_leq) ).

fof(succ_tptp_minus_1,axiom,
    succ(tptp_minus_1) = n0,
    file('/export/starexec/sandbox2/tmp/tmp.hOZ7XDyEnP/E---3.1_23695.p',succ_tptp_minus_1) ).

fof(c_0_5,plain,
    ! [X1] : ~ gt(X1,X1),
    inference(fof_simplification,[status(thm)],[irreflexivity_gt]) ).

fof(c_0_6,negated_conjecture,
    ~ ( ! [X14] :
          ( ( leq(n0,X14)
            & leq(X14,n4) )
         => a_select3(center_init,X14,n0) = init )
     => ! [X18] :
          ( ( leq(n0,X18)
            & leq(X18,tptp_minus_1) )
         => ! [X4] :
              ( ( leq(n0,X4)
                & leq(X4,n4) )
             => a_select3(q_init,X18,X4) = init ) ) ),
    inference(assume_negation,[status(cth)],[cl5_nebula_init_0121]) ).

fof(c_0_7,plain,
    ! [X57] : ~ gt(X57,X57),
    inference(variable_rename,[status(thm)],[c_0_5]) ).

fof(c_0_8,plain,
    ! [X45,X46] :
      ( ~ leq(succ(X45),X46)
      | gt(X46,X45) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_succ_gt])]) ).

fof(c_0_9,plain,
    ! [X32,X33,X34] :
      ( ~ leq(X32,X33)
      | ~ leq(X33,X34)
      | leq(X32,X34) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[transitivity_leq])]) ).

fof(c_0_10,negated_conjecture,
    ! [X28] :
      ( ( ~ leq(n0,X28)
        | ~ leq(X28,n4)
        | a_select3(center_init,X28,n0) = init )
      & leq(n0,esk1_0)
      & leq(esk1_0,tptp_minus_1)
      & leq(n0,esk2_0)
      & leq(esk2_0,n4)
      & a_select3(q_init,esk1_0,esk2_0) != init ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])]) ).

cnf(c_0_11,plain,
    ~ gt(X1,X1),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_12,plain,
    ( gt(X2,X1)
    | ~ leq(succ(X1),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_13,plain,
    ( leq(X1,X3)
    | ~ leq(X1,X2)
    | ~ leq(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_14,negated_conjecture,
    leq(esk1_0,tptp_minus_1),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_15,plain,
    ~ leq(succ(X1),X1),
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_16,plain,
    succ(tptp_minus_1) = n0,
    inference(split_conjunct,[status(thm)],[succ_tptp_minus_1]) ).

cnf(c_0_17,negated_conjecture,
    ( leq(X1,tptp_minus_1)
    | ~ leq(X1,esk1_0) ),
    inference(spm,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_18,negated_conjecture,
    leq(n0,esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_19,plain,
    ~ leq(n0,tptp_minus_1),
    inference(spm,[status(thm)],[c_0_15,c_0_16]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SWV189+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.13/0.13  % Command    : run_E %s %d THM
% 0.13/0.34  % Computer : n014.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   : 2400
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Oct  3 04:02:34 EDT 2023
% 0.13/0.34  % CPUTime    : 
% 0.19/0.48  Running first-order model finding
% 0.19/0.48  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/tmp/tmp.hOZ7XDyEnP/E---3.1_23695.p
% 0.19/0.50  # Version: 3.1pre001
% 0.19/0.50  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.19/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.50  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.19/0.50  # Starting new_bool_3 with 300s (1) cores
% 0.19/0.50  # Starting new_bool_1 with 300s (1) cores
% 0.19/0.50  # Starting sh5l with 300s (1) cores
% 0.19/0.50  # new_bool_3 with pid 23774 completed with status 0
% 0.19/0.50  # Result found by new_bool_3
% 0.19/0.50  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.19/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.50  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.19/0.50  # Starting new_bool_3 with 300s (1) cores
% 0.19/0.50  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.19/0.50  # Search class: FGUSM-FFMM32-MFFFFFNN
% 0.19/0.50  # partial match(1): FGHSM-FFMM32-MFFFFFNN
% 0.19/0.50  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.50  # Starting G-E--_200_B02_F1_AE_CS_SP_PI_S0Y with 127s (1) cores
% 0.19/0.50  # G-E--_200_B02_F1_AE_CS_SP_PI_S0Y with pid 23777 completed with status 0
% 0.19/0.50  # Result found by G-E--_200_B02_F1_AE_CS_SP_PI_S0Y
% 0.19/0.50  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.19/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.50  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.19/0.50  # Starting new_bool_3 with 300s (1) cores
% 0.19/0.50  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.19/0.50  # Search class: FGUSM-FFMM32-MFFFFFNN
% 0.19/0.50  # partial match(1): FGHSM-FFMM32-MFFFFFNN
% 0.19/0.50  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.50  # Starting G-E--_200_B02_F1_AE_CS_SP_PI_S0Y with 127s (1) cores
% 0.19/0.50  # Preprocessing time       : 0.002 s
% 0.19/0.50  
% 0.19/0.50  # Proof found!
% 0.19/0.50  # SZS status Theorem
% 0.19/0.50  # SZS output start CNFRefutation
% See solution above
% 0.19/0.50  # Parsed axioms                        : 85
% 0.19/0.50  # Removed by relevancy pruning/SinE    : 29
% 0.19/0.50  # Initial clauses                      : 63
% 0.19/0.50  # Removed in clause preprocessing      : 0
% 0.19/0.50  # Initial clauses in saturation        : 63
% 0.19/0.50  # Processed clauses                    : 129
% 0.19/0.50  # ...of these trivial                  : 0
% 0.19/0.50  # ...subsumed                          : 8
% 0.19/0.50  # ...remaining for further processing  : 121
% 0.19/0.50  # Other redundant clauses eliminated   : 0
% 0.19/0.50  # Clauses deleted for lack of memory   : 0
% 0.19/0.50  # Backward-subsumed                    : 0
% 0.19/0.50  # Backward-rewritten                   : 0
% 0.19/0.50  # Generated clauses                    : 222
% 0.19/0.50  # ...of the previous two non-redundant : 181
% 0.19/0.50  # ...aggressively subsumed             : 0
% 0.19/0.50  # Contextual simplify-reflections      : 0
% 0.19/0.50  # Paramodulations                      : 216
% 0.19/0.50  # Factorizations                       : 6
% 0.19/0.50  # NegExts                              : 0
% 0.19/0.50  # Equation resolutions                 : 0
% 0.19/0.50  # Total rewrite steps                  : 115
% 0.19/0.50  # Propositional unsat checks           : 0
% 0.19/0.50  #    Propositional check models        : 0
% 0.19/0.50  #    Propositional check unsatisfiable : 0
% 0.19/0.50  #    Propositional clauses             : 0
% 0.19/0.50  #    Propositional clauses after purity: 0
% 0.19/0.50  #    Propositional unsat core size     : 0
% 0.19/0.50  #    Propositional preprocessing time  : 0.000
% 0.19/0.50  #    Propositional encoding time       : 0.000
% 0.19/0.50  #    Propositional solver time         : 0.000
% 0.19/0.50  #    Success case prop preproc time    : 0.000
% 0.19/0.50  #    Success case prop encoding time   : 0.000
% 0.19/0.50  #    Success case prop solver time     : 0.000
% 0.19/0.50  # Current number of processed clauses  : 121
% 0.19/0.50  #    Positive orientable unit clauses  : 64
% 0.19/0.50  #    Positive unorientable unit clauses: 0
% 0.19/0.50  #    Negative unit clauses             : 35
% 0.19/0.50  #    Non-unit-clauses                  : 22
% 0.19/0.50  # Current number of unprocessed clauses: 115
% 0.19/0.50  # ...number of literals in the above   : 264
% 0.19/0.50  # Current number of archived formulas  : 0
% 0.19/0.50  # Current number of archived clauses   : 0
% 0.19/0.50  # Clause-clause subsumption calls (NU) : 32
% 0.19/0.50  # Rec. Clause-clause subsumption calls : 2
% 0.19/0.50  # Non-unit clause-clause subsumptions  : 0
% 0.19/0.50  # Unit Clause-clause subsumption calls : 398
% 0.19/0.50  # Rewrite failures with RHS unbound    : 0
% 0.19/0.50  # BW rewrite match attempts            : 4
% 0.19/0.50  # BW rewrite match successes           : 0
% 0.19/0.50  # Condensation attempts                : 0
% 0.19/0.50  # Condensation successes               : 0
% 0.19/0.50  # Termbank termtop insertions          : 5358
% 0.19/0.50  
% 0.19/0.50  # -------------------------------------------------
% 0.19/0.50  # User time                : 0.010 s
% 0.19/0.50  # System time              : 0.002 s
% 0.19/0.50  # Total time               : 0.012 s
% 0.19/0.50  # Maximum resident set size: 1912 pages
% 0.19/0.50  
% 0.19/0.50  # -------------------------------------------------
% 0.19/0.50  # User time                : 0.012 s
% 0.19/0.50  # System time              : 0.004 s
% 0.19/0.50  # Total time               : 0.016 s
% 0.19/0.50  # Maximum resident set size: 1788 pages
% 0.19/0.50  % E---3.1 exiting
%------------------------------------------------------------------------------