TSTP Solution File: NUN073+1 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : NUN073+1 : TPTP v8.1.2. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n019.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 09:09:00 EDT 2024

% Result   : Theorem 0.21s 0.54s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   20 (   7 unt;   0 def)
%            Number of atoms       :   58 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   80 (  42   ~;  33   |;   5   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :   41 (   1 sgn  31   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(axiom_7a,axiom,
    ! [X65,X66] :
      ( ! [X67] :
          ( ~ id(X67,X66)
          | ~ r1(X67) )
      | ~ r2(X65,X66) ),
    file('/export/starexec/sandbox2/tmp/tmp.oe0Mrgfy5j/E---3.1_23432.p',axiom_7a) ).

fof(oneunidtwo,conjecture,
    ! [X63] :
      ( ! [X46] :
          ( ! [X40] :
              ( ~ r1(X40)
              | ~ r2(X40,X46) )
          | ~ id(X46,X63) )
      | ! [X47] :
          ( ! [X41] :
              ( ~ r1(X41)
              | ~ r2(X41,X47) )
          | ~ r2(X47,X63) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.oe0Mrgfy5j/E---3.1_23432.p',oneunidtwo) ).

fof(axiom_3a,axiom,
    ! [X50,X51] :
      ( ! [X52] :
          ( ! [X53] :
              ( ~ id(X53,X52)
              | ~ r2(X50,X53) )
          | ~ r2(X51,X52) )
      | id(X50,X51) ),
    file('/export/starexec/sandbox2/tmp/tmp.oe0Mrgfy5j/E---3.1_23432.p',axiom_3a) ).

fof(c_0_3,plain,
    ! [X65,X66] :
      ( ! [X67] :
          ( ~ id(X67,X66)
          | ~ r1(X67) )
      | ~ r2(X65,X66) ),
    inference(fof_simplification,[status(thm)],[axiom_7a]) ).

fof(c_0_4,negated_conjecture,
    ~ ! [X63] :
        ( ! [X46] :
            ( ! [X40] :
                ( ~ r1(X40)
                | ~ r2(X40,X46) )
            | ~ id(X46,X63) )
        | ! [X47] :
            ( ! [X41] :
                ( ~ r1(X41)
                | ~ r2(X41,X47) )
            | ~ r2(X47,X63) ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[oneunidtwo])]) ).

fof(c_0_5,plain,
    ! [X50,X51] :
      ( ! [X52] :
          ( ! [X53] :
              ( ~ id(X53,X52)
              | ~ r2(X50,X53) )
          | ~ r2(X51,X52) )
      | id(X50,X51) ),
    inference(fof_simplification,[status(thm)],[axiom_3a]) ).

fof(c_0_6,plain,
    ! [X132,X133,X134] :
      ( ~ id(X134,X133)
      | ~ r1(X134)
      | ~ r2(X132,X133) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_3])])]) ).

fof(c_0_7,negated_conjecture,
    ( r1(esk23_0)
    & r2(esk23_0,esk22_0)
    & id(esk22_0,esk21_0)
    & r1(esk25_0)
    & r2(esk25_0,esk24_0)
    & r2(esk24_0,esk21_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])]) ).

fof(c_0_8,plain,
    ! [X117,X118,X119,X120] :
      ( ~ id(X120,X119)
      | ~ r2(X117,X120)
      | ~ r2(X118,X119)
      | id(X117,X118) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_5])])]) ).

cnf(c_0_9,plain,
    ( ~ id(X1,X2)
    | ~ r1(X1)
    | ~ r2(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_10,negated_conjecture,
    r2(esk25_0,esk24_0),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_11,plain,
    ( id(X3,X4)
    | ~ id(X1,X2)
    | ~ r2(X3,X1)
    | ~ r2(X4,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_12,negated_conjecture,
    r2(esk24_0,esk21_0),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_13,negated_conjecture,
    ( ~ r1(X1)
    | ~ id(X1,esk24_0) ),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_14,negated_conjecture,
    r1(esk23_0),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_15,negated_conjecture,
    ( id(X1,esk24_0)
    | ~ r2(X1,X2)
    | ~ id(X2,esk21_0) ),
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_16,negated_conjecture,
    r2(esk23_0,esk22_0),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_17,negated_conjecture,
    id(esk22_0,esk21_0),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_18,negated_conjecture,
    ~ id(esk23_0,esk24_0),
    inference(spm,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_19,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17])]),c_0_18]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : NUN073+1 : TPTP v8.1.2. Released v7.3.0.
% 0.08/0.14  % Command    : run_E %s %d THM
% 0.14/0.35  % Computer : n019.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Fri May  3 12:01:59 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.21/0.49  Running first-order model finding
% 0.21/0.49  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.oe0Mrgfy5j/E---3.1_23432.p
% 0.21/0.54  # Version: 3.1.0
% 0.21/0.54  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.21/0.54  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.54  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.21/0.54  # Starting new_bool_3 with 300s (1) cores
% 0.21/0.54  # Starting new_bool_1 with 300s (1) cores
% 0.21/0.54  # Starting sh5l with 300s (1) cores
% 0.21/0.54  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 23551 completed with status 0
% 0.21/0.54  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.21/0.54  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.21/0.54  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.54  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.21/0.54  # No SInE strategy applied
% 0.21/0.54  # Search class: FGHNM-FFMM21-SFFFFFNN
% 0.21/0.54  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.21/0.54  # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 811s (1) cores
% 0.21/0.54  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.21/0.54  # Starting new_bool_3 with 136s (1) cores
% 0.21/0.54  # Starting new_bool_1 with 136s (1) cores
% 0.21/0.54  # Starting sh5l with 136s (1) cores
% 0.21/0.54  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 23557 completed with status 0
% 0.21/0.54  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.21/0.54  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.21/0.54  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.54  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.21/0.54  # No SInE strategy applied
% 0.21/0.54  # Search class: FGHNM-FFMM21-SFFFFFNN
% 0.21/0.54  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.21/0.54  # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 811s (1) cores
% 0.21/0.54  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.21/0.54  # Preprocessing time       : 0.002 s
% 0.21/0.54  # Presaturation interreduction done
% 0.21/0.54  
% 0.21/0.54  # Proof found!
% 0.21/0.54  # SZS status Theorem
% 0.21/0.54  # SZS output start CNFRefutation
% See solution above
% 0.21/0.54  # Parsed axioms                        : 19
% 0.21/0.54  # Removed by relevancy pruning/SinE    : 0
% 0.21/0.54  # Initial clauses                      : 64
% 0.21/0.54  # Removed in clause preprocessing      : 16
% 0.21/0.54  # Initial clauses in saturation        : 48
% 0.21/0.54  # Processed clauses                    : 677
% 0.21/0.54  # ...of these trivial                  : 11
% 0.21/0.54  # ...subsumed                          : 256
% 0.21/0.54  # ...remaining for further processing  : 410
% 0.21/0.54  # Other redundant clauses eliminated   : 0
% 0.21/0.54  # Clauses deleted for lack of memory   : 0
% 0.21/0.54  # Backward-subsumed                    : 13
% 0.21/0.54  # Backward-rewritten                   : 4
% 0.21/0.54  # Generated clauses                    : 1373
% 0.21/0.54  # ...of the previous two non-redundant : 1128
% 0.21/0.54  # ...aggressively subsumed             : 0
% 0.21/0.54  # Contextual simplify-reflections      : 3
% 0.21/0.54  # Paramodulations                      : 1373
% 0.21/0.54  # Factorizations                       : 0
% 0.21/0.54  # NegExts                              : 0
% 0.21/0.54  # Equation resolutions                 : 0
% 0.21/0.54  # Disequality decompositions           : 0
% 0.21/0.54  # Total rewrite steps                  : 325
% 0.21/0.54  # ...of those cached                   : 247
% 0.21/0.54  # Propositional unsat checks           : 0
% 0.21/0.54  #    Propositional check models        : 0
% 0.21/0.54  #    Propositional check unsatisfiable : 0
% 0.21/0.54  #    Propositional clauses             : 0
% 0.21/0.54  #    Propositional clauses after purity: 0
% 0.21/0.54  #    Propositional unsat core size     : 0
% 0.21/0.54  #    Propositional preprocessing time  : 0.000
% 0.21/0.54  #    Propositional encoding time       : 0.000
% 0.21/0.54  #    Propositional solver time         : 0.000
% 0.21/0.54  #    Success case prop preproc time    : 0.000
% 0.21/0.54  #    Success case prop encoding time   : 0.000
% 0.21/0.54  #    Success case prop solver time     : 0.000
% 0.21/0.54  # Current number of processed clauses  : 345
% 0.21/0.54  #    Positive orientable unit clauses  : 94
% 0.21/0.54  #    Positive unorientable unit clauses: 0
% 0.21/0.54  #    Negative unit clauses             : 109
% 0.21/0.54  #    Non-unit-clauses                  : 142
% 0.21/0.54  # Current number of unprocessed clauses: 543
% 0.21/0.54  # ...number of literals in the above   : 1272
% 0.21/0.54  # Current number of archived formulas  : 0
% 0.21/0.54  # Current number of archived clauses   : 65
% 0.21/0.54  # Clause-clause subsumption calls (NU) : 4661
% 0.21/0.54  # Rec. Clause-clause subsumption calls : 3823
% 0.21/0.54  # Non-unit clause-clause subsumptions  : 56
% 0.21/0.54  # Unit Clause-clause subsumption calls : 5888
% 0.21/0.54  # Rewrite failures with RHS unbound    : 0
% 0.21/0.54  # BW rewrite match attempts            : 38
% 0.21/0.54  # BW rewrite match successes           : 2
% 0.21/0.54  # Condensation attempts                : 0
% 0.21/0.54  # Condensation successes               : 0
% 0.21/0.54  # Termbank termtop insertions          : 15305
% 0.21/0.54  # Search garbage collected termcells   : 404
% 0.21/0.54  
% 0.21/0.54  # -------------------------------------------------
% 0.21/0.54  # User time                : 0.036 s
% 0.21/0.54  # System time              : 0.005 s
% 0.21/0.54  # Total time               : 0.041 s
% 0.21/0.54  # Maximum resident set size: 1920 pages
% 0.21/0.54  
% 0.21/0.54  # -------------------------------------------------
% 0.21/0.54  # User time                : 0.174 s
% 0.21/0.54  # System time              : 0.012 s
% 0.21/0.54  # Total time               : 0.186 s
% 0.21/0.54  # Maximum resident set size: 1764 pages
% 0.21/0.54  % E---3.1 exiting
%------------------------------------------------------------------------------