TSTP Solution File: TOP027+3 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : TOP027+3 : TPTP v8.1.2. Released v3.4.0.
% 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 : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 20:51:35 EDT 2023

% Result   : Theorem 12.35s 3.10s
% Output   : CNFRefutation 12.35s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   23 (   9 unt;   0 def)
%            Number of atoms       :   85 (   8 equ)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :   96 (  34   ~;  25   |;  17   &)
%                                         (   0 <=>;  20  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   3 con; 0-3 aty)
%            Number of variables   :   30 (   0 sgn;  23   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(t8_tsp_2,conjecture,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v2_pre_topc(X1)
        & l1_pre_topc(X1) )
     => ! [X2] :
          ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
         => ( v1_tsp_2(X2,X1)
           => ! [X3] :
                ( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
               => k1_tops_1(X1,X3) = k3_tex_4(X1,k5_subset_1(u1_struct_0(X1),X2,k1_tops_1(X1,X3))) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.XC9hRgby10/E---3.1_12955.p',t8_tsp_2) ).

fof(t6_tsp_2,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v2_pre_topc(X1)
        & l1_pre_topc(X1) )
     => ! [X2] :
          ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
         => ( v1_tsp_2(X2,X1)
           => ! [X3] :
                ( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
               => ( v3_pre_topc(X3,X1)
                 => X3 = k3_tex_4(X1,k5_subset_1(u1_struct_0(X1),X2,X3)) ) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.XC9hRgby10/E---3.1_12955.p',t6_tsp_2) ).

fof(fc6_tops_1,axiom,
    ! [X1,X2] :
      ( ( v2_pre_topc(X1)
        & l1_pre_topc(X1)
        & m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
     => v3_pre_topc(k1_tops_1(X1,X2),X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.XC9hRgby10/E---3.1_12955.p',fc6_tops_1) ).

fof(dt_k1_tops_1,axiom,
    ! [X1,X2] :
      ( ( l1_pre_topc(X1)
        & m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
     => m1_subset_1(k1_tops_1(X1,X2),k1_zfmisc_1(u1_struct_0(X1))) ),
    file('/export/starexec/sandbox2/tmp/tmp.XC9hRgby10/E---3.1_12955.p',dt_k1_tops_1) ).

fof(c_0_4,negated_conjecture,
    ~ ! [X1] :
        ( ( ~ v3_struct_0(X1)
          & v2_pre_topc(X1)
          & l1_pre_topc(X1) )
       => ! [X2] :
            ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
           => ( v1_tsp_2(X2,X1)
             => ! [X3] :
                  ( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
                 => k1_tops_1(X1,X3) = k3_tex_4(X1,k5_subset_1(u1_struct_0(X1),X2,k1_tops_1(X1,X3))) ) ) ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t8_tsp_2])]) ).

fof(c_0_5,plain,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v2_pre_topc(X1)
        & l1_pre_topc(X1) )
     => ! [X2] :
          ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
         => ( v1_tsp_2(X2,X1)
           => ! [X3] :
                ( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
               => ( v3_pre_topc(X3,X1)
                 => X3 = k3_tex_4(X1,k5_subset_1(u1_struct_0(X1),X2,X3)) ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[t6_tsp_2]) ).

fof(c_0_6,negated_conjecture,
    ( ~ v3_struct_0(esk1_0)
    & v2_pre_topc(esk1_0)
    & l1_pre_topc(esk1_0)
    & m1_subset_1(esk2_0,k1_zfmisc_1(u1_struct_0(esk1_0)))
    & v1_tsp_2(esk2_0,esk1_0)
    & m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk1_0)))
    & k1_tops_1(esk1_0,esk3_0) != k3_tex_4(esk1_0,k5_subset_1(u1_struct_0(esk1_0),esk2_0,k1_tops_1(esk1_0,esk3_0))) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])]) ).

fof(c_0_7,plain,
    ! [X245,X246,X247] :
      ( v3_struct_0(X245)
      | ~ v2_pre_topc(X245)
      | ~ l1_pre_topc(X245)
      | ~ m1_subset_1(X246,k1_zfmisc_1(u1_struct_0(X245)))
      | ~ v1_tsp_2(X246,X245)
      | ~ m1_subset_1(X247,k1_zfmisc_1(u1_struct_0(X245)))
      | ~ v3_pre_topc(X247,X245)
      | X247 = k3_tex_4(X245,k5_subset_1(u1_struct_0(X245),X246,X247)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])]) ).

cnf(c_0_8,negated_conjecture,
    k1_tops_1(esk1_0,esk3_0) != k3_tex_4(esk1_0,k5_subset_1(u1_struct_0(esk1_0),esk2_0,k1_tops_1(esk1_0,esk3_0))),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_9,plain,
    ( v3_struct_0(X1)
    | X3 = k3_tex_4(X1,k5_subset_1(u1_struct_0(X1),X2,X3))
    | ~ v2_pre_topc(X1)
    | ~ l1_pre_topc(X1)
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
    | ~ v1_tsp_2(X2,X1)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
    | ~ v3_pre_topc(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_10,negated_conjecture,
    v1_tsp_2(esk2_0,esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_11,negated_conjecture,
    v2_pre_topc(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_12,negated_conjecture,
    l1_pre_topc(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_13,negated_conjecture,
    m1_subset_1(esk2_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_14,negated_conjecture,
    ~ v3_struct_0(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

fof(c_0_15,plain,
    ! [X119,X120] :
      ( ~ v2_pre_topc(X119)
      | ~ l1_pre_topc(X119)
      | ~ m1_subset_1(X120,k1_zfmisc_1(u1_struct_0(X119)))
      | v3_pre_topc(k1_tops_1(X119,X120),X119) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc6_tops_1])]) ).

cnf(c_0_16,negated_conjecture,
    ( ~ v3_pre_topc(k1_tops_1(esk1_0,esk3_0),esk1_0)
    | ~ m1_subset_1(k1_tops_1(esk1_0,esk3_0),k1_zfmisc_1(u1_struct_0(esk1_0))) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10]),c_0_11]),c_0_12]),c_0_13])]),c_0_14]) ).

cnf(c_0_17,plain,
    ( v3_pre_topc(k1_tops_1(X1,X2),X1)
    | ~ v2_pre_topc(X1)
    | ~ l1_pre_topc(X1)
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_18,negated_conjecture,
    m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

fof(c_0_19,plain,
    ! [X155,X156] :
      ( ~ l1_pre_topc(X155)
      | ~ m1_subset_1(X156,k1_zfmisc_1(u1_struct_0(X155)))
      | m1_subset_1(k1_tops_1(X155,X156),k1_zfmisc_1(u1_struct_0(X155))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k1_tops_1])]) ).

cnf(c_0_20,negated_conjecture,
    ~ m1_subset_1(k1_tops_1(esk1_0,esk3_0),k1_zfmisc_1(u1_struct_0(esk1_0))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_11]),c_0_12]),c_0_18])]) ).

cnf(c_0_21,plain,
    ( m1_subset_1(k1_tops_1(X1,X2),k1_zfmisc_1(u1_struct_0(X1)))
    | ~ l1_pre_topc(X1)
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_22,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_12]),c_0_18])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : TOP027+3 : TPTP v8.1.2. Released v3.4.0.
% 0.06/0.13  % Command    : run_E %s %d THM
% 0.14/0.34  % Computer : n026.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 2400
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Mon Oct  2 19:29:01 EDT 2023
% 0.20/0.34  % CPUTime    : 
% 1.09/1.25  Running first-order model finding
% 1.09/1.25  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.XC9hRgby10/E---3.1_12955.p
% 12.35/3.10  # Version: 3.1pre001
% 12.35/3.10  # Preprocessing class: FMLLSMLLSSSNFFN.
% 12.35/3.10  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 12.35/3.10  # Starting new_bool_3 with 900s (3) cores
% 12.35/3.10  # Starting new_bool_1 with 900s (3) cores
% 12.35/3.10  # Starting sh5l with 300s (1) cores
% 12.35/3.10  # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 300s (1) cores
% 12.35/3.10  # G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with pid 13111 completed with status 0
% 12.35/3.10  # Result found by G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y
% 12.35/3.10  # Preprocessing class: FMLLSMLLSSSNFFN.
% 12.35/3.10  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 12.35/3.10  # Starting new_bool_3 with 900s (3) cores
% 12.35/3.10  # Starting new_bool_1 with 900s (3) cores
% 12.35/3.10  # Starting sh5l with 300s (1) cores
% 12.35/3.10  # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 300s (1) cores
% 12.35/3.10  # SinE strategy is gf120_gu_R02_F100_L20000
% 12.35/3.10  # Search class: FGHSM-SMLM31-MFFFFFNN
% 12.35/3.10  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 12.35/3.10  # Starting C07_19_nc_SAT001_MinMin_p005000_rr with 163s (1) cores
% 12.35/3.10  # C07_19_nc_SAT001_MinMin_p005000_rr with pid 13112 completed with status 0
% 12.35/3.10  # Result found by C07_19_nc_SAT001_MinMin_p005000_rr
% 12.35/3.10  # Preprocessing class: FMLLSMLLSSSNFFN.
% 12.35/3.10  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 12.35/3.10  # Starting new_bool_3 with 900s (3) cores
% 12.35/3.10  # Starting new_bool_1 with 900s (3) cores
% 12.35/3.10  # Starting sh5l with 300s (1) cores
% 12.35/3.10  # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 300s (1) cores
% 12.35/3.10  # SinE strategy is gf120_gu_R02_F100_L20000
% 12.35/3.10  # Search class: FGHSM-SMLM31-MFFFFFNN
% 12.35/3.10  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 12.35/3.10  # Starting C07_19_nc_SAT001_MinMin_p005000_rr with 163s (1) cores
% 12.35/3.10  # Preprocessing time       : 0.042 s
% 12.35/3.10  # Presaturation interreduction done
% 12.35/3.10  
% 12.35/3.10  # Proof found!
% 12.35/3.10  # SZS status Theorem
% 12.35/3.10  # SZS output start CNFRefutation
% See solution above
% 12.35/3.10  # Parsed axioms                        : 13483
% 12.35/3.10  # Removed by relevancy pruning/SinE    : 12791
% 12.35/3.10  # Initial clauses                      : 1569
% 12.35/3.10  # Removed in clause preprocessing      : 34
% 12.35/3.10  # Initial clauses in saturation        : 1535
% 12.35/3.10  # Processed clauses                    : 11597
% 12.35/3.10  # ...of these trivial                  : 140
% 12.35/3.10  # ...subsumed                          : 6425
% 12.35/3.10  # ...remaining for further processing  : 5032
% 12.35/3.10  # Other redundant clauses eliminated   : 151
% 12.35/3.10  # Clauses deleted for lack of memory   : 0
% 12.35/3.10  # Backward-subsumed                    : 165
% 12.35/3.10  # Backward-rewritten                   : 88
% 12.35/3.10  # Generated clauses                    : 38503
% 12.35/3.10  # ...of the previous two non-redundant : 34212
% 12.35/3.10  # ...aggressively subsumed             : 0
% 12.35/3.10  # Contextual simplify-reflections      : 186
% 12.35/3.10  # Paramodulations                      : 38282
% 12.35/3.10  # Factorizations                       : 2
% 12.35/3.10  # NegExts                              : 0
% 12.35/3.10  # Equation resolutions                 : 164
% 12.35/3.10  # Total rewrite steps                  : 9667
% 12.35/3.10  # Propositional unsat checks           : 1
% 12.35/3.10  #    Propositional check models        : 0
% 12.35/3.10  #    Propositional check unsatisfiable : 0
% 12.35/3.10  #    Propositional clauses             : 0
% 12.35/3.10  #    Propositional clauses after purity: 0
% 12.35/3.10  #    Propositional unsat core size     : 0
% 12.35/3.10  #    Propositional preprocessing time  : 0.000
% 12.35/3.10  #    Propositional encoding time       : 0.035
% 12.35/3.10  #    Propositional solver time         : 0.028
% 12.35/3.10  #    Success case prop preproc time    : 0.000
% 12.35/3.10  #    Success case prop encoding time   : 0.000
% 12.35/3.10  #    Success case prop solver time     : 0.000
% 12.35/3.10  # Current number of processed clauses  : 3207
% 12.35/3.10  #    Positive orientable unit clauses  : 370
% 12.35/3.10  #    Positive unorientable unit clauses: 3
% 12.35/3.10  #    Negative unit clauses             : 429
% 12.35/3.10  #    Non-unit-clauses                  : 2405
% 12.35/3.10  # Current number of unprocessed clauses: 25336
% 12.35/3.10  # ...number of literals in the above   : 102562
% 12.35/3.10  # Current number of archived formulas  : 0
% 12.35/3.10  # Current number of archived clauses   : 1723
% 12.35/3.10  # Clause-clause subsumption calls (NU) : 3235560
% 12.35/3.10  # Rec. Clause-clause subsumption calls : 810186
% 12.35/3.10  # Non-unit clause-clause subsumptions  : 2686
% 12.35/3.10  # Unit Clause-clause subsumption calls : 102995
% 12.35/3.10  # Rewrite failures with RHS unbound    : 3
% 12.35/3.10  # BW rewrite match attempts            : 306
% 12.35/3.10  # BW rewrite match successes           : 104
% 12.35/3.10  # Condensation attempts                : 0
% 12.35/3.10  # Condensation successes               : 0
% 12.35/3.10  # Termbank termtop insertions          : 1101594
% 12.35/3.10  
% 12.35/3.10  # -------------------------------------------------
% 12.35/3.10  # User time                : 1.478 s
% 12.35/3.10  # System time              : 0.071 s
% 12.35/3.10  # Total time               : 1.549 s
% 12.35/3.10  # Maximum resident set size: 26144 pages
% 12.35/3.10  
% 12.35/3.10  # -------------------------------------------------
% 12.35/3.10  # User time                : 1.696 s
% 12.35/3.10  # System time              : 0.083 s
% 12.35/3.10  # Total time               : 1.780 s
% 12.35/3.10  # Maximum resident set size: 19812 pages
% 12.35/3.10  % E---3.1 exiting
%------------------------------------------------------------------------------