TSTP Solution File: TOP034+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : TOP034+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n022.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  : 600s
% DateTime : Thu Jul 21 21:25:31 EDT 2022

% Result   : Theorem 0.24s 1.41s
% Output   : CNFRefutation 0.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   31 (   9 unt;   0 def)
%            Number of atoms       :  239 (   0 equ)
%            Maximal formula atoms :   46 (   7 avg)
%            Number of connectives :  337 ( 129   ~; 158   |;  39   &)
%                                         (   2 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   20 (   7 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   13 (  12 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   47 (   1 sgn  18   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(d20_borsuk_1,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v2_pre_topc(X1)
        & l1_pre_topc(X1) )
     => ! [X2] :
          ( ( ~ v3_struct_0(X2)
            & m1_pre_topc(X2,X1) )
         => ( r1_borsuk_1(X1,X2)
          <=> ? [X3] :
                ( v1_funct_1(X3)
                & v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
                & v5_pre_topc(X3,X1,X2)
                & m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
                & v3_borsuk_1(X3,X1,X2) ) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d20_borsuk_1) ).

fof(t22_tsp_2,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v2_pre_topc(X1)
        & l1_pre_topc(X1) )
     => ! [X2] :
          ( ( ~ v3_struct_0(X2)
            & v2_tsp_2(X2,X1)
            & m2_tsp_1(X2,X1) )
         => ? [X3] :
              ( v1_funct_1(X3)
              & v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
              & v5_pre_topc(X3,X1,X2)
              & m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
              & v3_borsuk_1(X3,X1,X2) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t22_tsp_2) ).

fof(redefinition_m2_tsp_1,axiom,
    ! [X1] :
      ( l1_pre_topc(X1)
     => ! [X2] :
          ( m2_tsp_1(X2,X1)
        <=> m1_pre_topc(X2,X1) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',redefinition_m2_tsp_1) ).

fof(t23_tsp_2,conjecture,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v2_pre_topc(X1)
        & l1_pre_topc(X1) )
     => ! [X2] :
          ( ( ~ v3_struct_0(X2)
            & v2_tsp_2(X2,X1)
            & m2_tsp_1(X2,X1) )
         => r1_borsuk_1(X1,X2) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t23_tsp_2) ).

fof(c_0_4,plain,
    ! [X4,X5,X7] :
      ( ( v1_funct_1(esk3_2(X4,X5))
        | ~ r1_borsuk_1(X4,X5)
        | v3_struct_0(X5)
        | ~ m1_pre_topc(X5,X4)
        | v3_struct_0(X4)
        | ~ v2_pre_topc(X4)
        | ~ l1_pre_topc(X4) )
      & ( v1_funct_2(esk3_2(X4,X5),u1_struct_0(X4),u1_struct_0(X5))
        | ~ r1_borsuk_1(X4,X5)
        | v3_struct_0(X5)
        | ~ m1_pre_topc(X5,X4)
        | v3_struct_0(X4)
        | ~ v2_pre_topc(X4)
        | ~ l1_pre_topc(X4) )
      & ( v5_pre_topc(esk3_2(X4,X5),X4,X5)
        | ~ r1_borsuk_1(X4,X5)
        | v3_struct_0(X5)
        | ~ m1_pre_topc(X5,X4)
        | v3_struct_0(X4)
        | ~ v2_pre_topc(X4)
        | ~ l1_pre_topc(X4) )
      & ( m2_relset_1(esk3_2(X4,X5),u1_struct_0(X4),u1_struct_0(X5))
        | ~ r1_borsuk_1(X4,X5)
        | v3_struct_0(X5)
        | ~ m1_pre_topc(X5,X4)
        | v3_struct_0(X4)
        | ~ v2_pre_topc(X4)
        | ~ l1_pre_topc(X4) )
      & ( v3_borsuk_1(esk3_2(X4,X5),X4,X5)
        | ~ r1_borsuk_1(X4,X5)
        | v3_struct_0(X5)
        | ~ m1_pre_topc(X5,X4)
        | v3_struct_0(X4)
        | ~ v2_pre_topc(X4)
        | ~ l1_pre_topc(X4) )
      & ( ~ v1_funct_1(X7)
        | ~ v1_funct_2(X7,u1_struct_0(X4),u1_struct_0(X5))
        | ~ v5_pre_topc(X7,X4,X5)
        | ~ m2_relset_1(X7,u1_struct_0(X4),u1_struct_0(X5))
        | ~ v3_borsuk_1(X7,X4,X5)
        | r1_borsuk_1(X4,X5)
        | v3_struct_0(X5)
        | ~ m1_pre_topc(X5,X4)
        | v3_struct_0(X4)
        | ~ v2_pre_topc(X4)
        | ~ l1_pre_topc(X4) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[d20_borsuk_1])])])])])])])]) ).

fof(c_0_5,plain,
    ! [X4,X5] :
      ( ( v1_funct_1(esk6_2(X4,X5))
        | v3_struct_0(X5)
        | ~ v2_tsp_2(X5,X4)
        | ~ m2_tsp_1(X5,X4)
        | v3_struct_0(X4)
        | ~ v2_pre_topc(X4)
        | ~ l1_pre_topc(X4) )
      & ( v1_funct_2(esk6_2(X4,X5),u1_struct_0(X4),u1_struct_0(X5))
        | v3_struct_0(X5)
        | ~ v2_tsp_2(X5,X4)
        | ~ m2_tsp_1(X5,X4)
        | v3_struct_0(X4)
        | ~ v2_pre_topc(X4)
        | ~ l1_pre_topc(X4) )
      & ( v5_pre_topc(esk6_2(X4,X5),X4,X5)
        | v3_struct_0(X5)
        | ~ v2_tsp_2(X5,X4)
        | ~ m2_tsp_1(X5,X4)
        | v3_struct_0(X4)
        | ~ v2_pre_topc(X4)
        | ~ l1_pre_topc(X4) )
      & ( m2_relset_1(esk6_2(X4,X5),u1_struct_0(X4),u1_struct_0(X5))
        | v3_struct_0(X5)
        | ~ v2_tsp_2(X5,X4)
        | ~ m2_tsp_1(X5,X4)
        | v3_struct_0(X4)
        | ~ v2_pre_topc(X4)
        | ~ l1_pre_topc(X4) )
      & ( v3_borsuk_1(esk6_2(X4,X5),X4,X5)
        | v3_struct_0(X5)
        | ~ v2_tsp_2(X5,X4)
        | ~ m2_tsp_1(X5,X4)
        | v3_struct_0(X4)
        | ~ v2_pre_topc(X4)
        | ~ l1_pre_topc(X4) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[t22_tsp_2])])])])])])])]) ).

fof(c_0_6,plain,
    ! [X3,X4,X4] :
      ( ( ~ m2_tsp_1(X4,X3)
        | m1_pre_topc(X4,X3)
        | ~ l1_pre_topc(X3) )
      & ( ~ m1_pre_topc(X4,X3)
        | m2_tsp_1(X4,X3)
        | ~ l1_pre_topc(X3) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_tsp_1])])])])])]) ).

cnf(c_0_7,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | r1_borsuk_1(X1,X2)
    | ~ l1_pre_topc(X1)
    | ~ v2_pre_topc(X1)
    | ~ m1_pre_topc(X2,X1)
    | ~ v3_borsuk_1(X3,X1,X2)
    | ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v5_pre_topc(X3,X1,X2)
    | ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_funct_1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_8,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | v1_funct_2(esk6_2(X1,X2),u1_struct_0(X1),u1_struct_0(X2))
    | ~ l1_pre_topc(X1)
    | ~ v2_pre_topc(X1)
    | ~ m2_tsp_1(X2,X1)
    | ~ v2_tsp_2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_9,plain,
    ( m2_tsp_1(X2,X1)
    | ~ l1_pre_topc(X1)
    | ~ m1_pre_topc(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_10,plain,
    ( r1_borsuk_1(X1,X2)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ v3_borsuk_1(esk6_2(X1,X2),X1,X2)
    | ~ m2_relset_1(esk6_2(X1,X2),u1_struct_0(X1),u1_struct_0(X2))
    | ~ v5_pre_topc(esk6_2(X1,X2),X1,X2)
    | ~ v1_funct_1(esk6_2(X1,X2))
    | ~ m1_pre_topc(X2,X1)
    | ~ v2_tsp_2(X2,X1)
    | ~ l1_pre_topc(X1)
    | ~ v2_pre_topc(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_9]) ).

cnf(c_0_11,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | v3_borsuk_1(esk6_2(X1,X2),X1,X2)
    | ~ l1_pre_topc(X1)
    | ~ v2_pre_topc(X1)
    | ~ m2_tsp_1(X2,X1)
    | ~ v2_tsp_2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_12,plain,
    ( r1_borsuk_1(X1,X2)
    | v3_struct_0(X1)
    | v3_struct_0(X2)
    | ~ m2_relset_1(esk6_2(X1,X2),u1_struct_0(X1),u1_struct_0(X2))
    | ~ v5_pre_topc(esk6_2(X1,X2),X1,X2)
    | ~ v1_funct_1(esk6_2(X1,X2))
    | ~ m1_pre_topc(X2,X1)
    | ~ v2_tsp_2(X2,X1)
    | ~ l1_pre_topc(X1)
    | ~ v2_pre_topc(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_9]) ).

cnf(c_0_13,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | v5_pre_topc(esk6_2(X1,X2),X1,X2)
    | ~ l1_pre_topc(X1)
    | ~ v2_pre_topc(X1)
    | ~ m2_tsp_1(X2,X1)
    | ~ v2_tsp_2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

fof(c_0_14,negated_conjecture,
    ~ ! [X1] :
        ( ( ~ v3_struct_0(X1)
          & v2_pre_topc(X1)
          & l1_pre_topc(X1) )
       => ! [X2] :
            ( ( ~ v3_struct_0(X2)
              & v2_tsp_2(X2,X1)
              & m2_tsp_1(X2,X1) )
           => r1_borsuk_1(X1,X2) ) ),
    inference(assume_negation,[status(cth)],[t23_tsp_2]) ).

cnf(c_0_15,plain,
    ( r1_borsuk_1(X1,X2)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ m2_relset_1(esk6_2(X1,X2),u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_funct_1(esk6_2(X1,X2))
    | ~ m1_pre_topc(X2,X1)
    | ~ v2_tsp_2(X2,X1)
    | ~ l1_pre_topc(X1)
    | ~ v2_pre_topc(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_9]) ).

cnf(c_0_16,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | v1_funct_1(esk6_2(X1,X2))
    | ~ l1_pre_topc(X1)
    | ~ v2_pre_topc(X1)
    | ~ m2_tsp_1(X2,X1)
    | ~ v2_tsp_2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

fof(c_0_17,negated_conjecture,
    ( ~ v3_struct_0(esk1_0)
    & v2_pre_topc(esk1_0)
    & l1_pre_topc(esk1_0)
    & ~ v3_struct_0(esk2_0)
    & v2_tsp_2(esk2_0,esk1_0)
    & m2_tsp_1(esk2_0,esk1_0)
    & ~ r1_borsuk_1(esk1_0,esk2_0) ),
    inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_14])])])])])]) ).

cnf(c_0_18,plain,
    ( r1_borsuk_1(X1,X2)
    | v3_struct_0(X1)
    | v3_struct_0(X2)
    | ~ m2_relset_1(esk6_2(X1,X2),u1_struct_0(X1),u1_struct_0(X2))
    | ~ m1_pre_topc(X2,X1)
    | ~ v2_tsp_2(X2,X1)
    | ~ l1_pre_topc(X1)
    | ~ v2_pre_topc(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_9]) ).

cnf(c_0_19,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | m2_relset_1(esk6_2(X1,X2),u1_struct_0(X1),u1_struct_0(X2))
    | ~ l1_pre_topc(X1)
    | ~ v2_pre_topc(X1)
    | ~ m2_tsp_1(X2,X1)
    | ~ v2_tsp_2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_20,plain,
    ( m1_pre_topc(X2,X1)
    | ~ l1_pre_topc(X1)
    | ~ m2_tsp_1(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_21,negated_conjecture,
    m2_tsp_1(esk2_0,esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_22,negated_conjecture,
    l1_pre_topc(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_23,negated_conjecture,
    ~ r1_borsuk_1(esk1_0,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_24,plain,
    ( r1_borsuk_1(X1,X2)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ m1_pre_topc(X2,X1)
    | ~ v2_tsp_2(X2,X1)
    | ~ l1_pre_topc(X1)
    | ~ v2_pre_topc(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_9]) ).

cnf(c_0_25,negated_conjecture,
    m1_pre_topc(esk2_0,esk1_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22])]) ).

cnf(c_0_26,negated_conjecture,
    v2_tsp_2(esk2_0,esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_27,negated_conjecture,
    v2_pre_topc(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_28,negated_conjecture,
    ~ v3_struct_0(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_29,negated_conjecture,
    ~ v3_struct_0(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_30,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[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_23,c_0_24]),c_0_25]),c_0_26]),c_0_22]),c_0_27])]),c_0_28]),c_0_29]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : TOP034+1 : TPTP v8.1.0. Released v3.4.0.
% 0.06/0.12  % Command  : run_ET %s %d
% 0.13/0.33  % Computer : n022.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Sun May 29 05:28:08 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.24/1.41  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.24/1.41  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.24/1.41  # Preprocessing time       : 0.018 s
% 0.24/1.41  
% 0.24/1.41  # Proof found!
% 0.24/1.41  # SZS status Theorem
% 0.24/1.41  # SZS output start CNFRefutation
% See solution above
% 0.24/1.41  # Proof object total steps             : 31
% 0.24/1.41  # Proof object clause steps            : 22
% 0.24/1.41  # Proof object formula steps           : 9
% 0.24/1.41  # Proof object conjectures             : 12
% 0.24/1.41  # Proof object clause conjectures      : 9
% 0.24/1.41  # Proof object formula conjectures     : 3
% 0.24/1.41  # Proof object initial clauses used    : 15
% 0.24/1.41  # Proof object initial formulas used   : 4
% 0.24/1.41  # Proof object generating inferences   : 7
% 0.24/1.41  # Proof object simplifying inferences  : 14
% 0.24/1.41  # Training examples: 0 positive, 0 negative
% 0.24/1.41  # Parsed axioms                        : 95
% 0.24/1.41  # Removed by relevancy pruning/SinE    : 81
% 0.24/1.41  # Initial clauses                      : 33
% 0.24/1.41  # Removed in clause preprocessing      : 3
% 0.24/1.41  # Initial clauses in saturation        : 30
% 0.24/1.41  # Processed clauses                    : 49
% 0.24/1.41  # ...of these trivial                  : 0
% 0.24/1.41  # ...subsumed                          : 3
% 0.24/1.41  # ...remaining for further processing  : 46
% 0.24/1.41  # Other redundant clauses eliminated   : 0
% 0.24/1.41  # Clauses deleted for lack of memory   : 0
% 0.24/1.41  # Backward-subsumed                    : 4
% 0.24/1.41  # Backward-rewritten                   : 1
% 0.24/1.41  # Generated clauses                    : 23
% 0.24/1.41  # ...of the previous two non-trivial   : 19
% 0.24/1.41  # Contextual simplify-reflections      : 5
% 0.24/1.41  # Paramodulations                      : 23
% 0.24/1.41  # Factorizations                       : 0
% 0.24/1.41  # Equation resolutions                 : 0
% 0.24/1.41  # Current number of processed clauses  : 41
% 0.24/1.41  #    Positive orientable unit clauses  : 10
% 0.24/1.41  #    Positive unorientable unit clauses: 0
% 0.24/1.41  #    Negative unit clauses             : 3
% 0.24/1.41  #    Non-unit-clauses                  : 28
% 0.24/1.41  # Current number of unprocessed clauses: 0
% 0.24/1.41  # ...number of literals in the above   : 0
% 0.24/1.41  # Current number of archived formulas  : 0
% 0.24/1.41  # Current number of archived clauses   : 5
% 0.24/1.41  # Clause-clause subsumption calls (NU) : 376
% 0.24/1.41  # Rec. Clause-clause subsumption calls : 16
% 0.24/1.41  # Non-unit clause-clause subsumptions  : 12
% 0.24/1.41  # Unit Clause-clause subsumption calls : 5
% 0.24/1.41  # Rewrite failures with RHS unbound    : 0
% 0.24/1.41  # BW rewrite match attempts            : 1
% 0.24/1.41  # BW rewrite match successes           : 1
% 0.24/1.41  # Condensation attempts                : 0
% 0.24/1.41  # Condensation successes               : 0
% 0.24/1.41  # Termbank termtop insertions          : 4683
% 0.24/1.41  
% 0.24/1.41  # -------------------------------------------------
% 0.24/1.41  # User time                : 0.019 s
% 0.24/1.41  # System time              : 0.002 s
% 0.24/1.41  # Total time               : 0.021 s
% 0.24/1.41  # Maximum resident set size: 3172 pages
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