TSTP Solution File: GEO603+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : GEO603+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n012.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 : Sat Jul 16 04:06:39 EDT 2022

% Result   : Theorem 0.25s 1.43s
% Output   : CNFRefutation 0.25s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   38 (  11 unt;   0 def)
%            Number of atoms       :   83 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   68 (  23   ~;  20   |;  15   &)
%                                         (   0 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-8 aty)
%            Number of functors    :    7 (   7 usr;   7 con; 0-0 aty)
%            Number of variables   :  160 (   6 sgn 100   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(exemplo6GDDFULL618065,conjecture,
    ! [X1,X2,X3,X4,X5,X6,X13] :
      ( ( circle(X4,X1,X2,X3)
        & coll(X5,X1,X2)
        & para(X2,X3,X6,X5)
        & coll(X6,X1,X3)
        & circle(X13,X1,X5,X6) )
     => coll(X1,X13,X4) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',exemplo6GDDFULL618065) ).

fof(ruleD40,axiom,
    ! [X1,X2,X3,X4,X9,X10] :
      ( para(X1,X2,X3,X4)
     => eqangle(X1,X2,X9,X10,X3,X4,X9,X10) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD40) ).

fof(ruleD21,axiom,
    ! [X1,X2,X3,X4,X9,X10,X11,X12] :
      ( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
     => eqangle(X1,X2,X9,X10,X3,X4,X11,X12) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD21) ).

fof(ruleD20,axiom,
    ! [X1,X2,X3,X4,X9,X10,X11,X12] :
      ( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
     => eqangle(X9,X10,X11,X12,X1,X2,X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD20) ).

fof(ruleD73,axiom,
    ! [X1,X2,X3,X4,X9,X10,X11,X12] :
      ( ( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
        & para(X9,X10,X11,X12) )
     => para(X1,X2,X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD73) ).

fof(ruleD66,axiom,
    ! [X1,X2,X3] :
      ( para(X1,X2,X1,X3)
     => coll(X1,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD66) ).

fof(ruleD2,axiom,
    ! [X1,X2,X3] :
      ( coll(X1,X2,X3)
     => coll(X2,X1,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD2) ).

fof(ruleD1,axiom,
    ! [X1,X2,X3] :
      ( coll(X1,X2,X3)
     => coll(X1,X3,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD1) ).

fof(ruleD3,axiom,
    ! [X1,X2,X3,X4] :
      ( ( coll(X1,X2,X3)
        & coll(X1,X2,X4) )
     => coll(X3,X4,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD3) ).

fof(c_0_9,negated_conjecture,
    ~ ! [X1,X2,X3,X4,X5,X6,X13] :
        ( ( circle(X4,X1,X2,X3)
          & coll(X5,X1,X2)
          & para(X2,X3,X6,X5)
          & coll(X6,X1,X3)
          & circle(X13,X1,X5,X6) )
       => coll(X1,X13,X4) ),
    inference(assume_negation,[status(cth)],[exemplo6GDDFULL618065]) ).

fof(c_0_10,plain,
    ! [X11,X12,X13,X14,X15,X16] :
      ( ~ para(X11,X12,X13,X14)
      | eqangle(X11,X12,X15,X16,X13,X14,X15,X16) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])])])]) ).

fof(c_0_11,negated_conjecture,
    ( circle(esk4_0,esk1_0,esk2_0,esk3_0)
    & coll(esk5_0,esk1_0,esk2_0)
    & para(esk2_0,esk3_0,esk6_0,esk5_0)
    & coll(esk6_0,esk1_0,esk3_0)
    & circle(esk7_0,esk1_0,esk5_0,esk6_0)
    & ~ coll(esk1_0,esk7_0,esk4_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])]) ).

fof(c_0_12,plain,
    ! [X13,X14,X15,X16,X17,X18,X19,X20] :
      ( ~ eqangle(X13,X14,X15,X16,X17,X18,X19,X20)
      | eqangle(X13,X14,X17,X18,X15,X16,X19,X20) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD21])]) ).

cnf(c_0_13,plain,
    ( eqangle(X1,X2,X3,X4,X5,X6,X3,X4)
    | ~ para(X1,X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_14,negated_conjecture,
    para(esk2_0,esk3_0,esk6_0,esk5_0),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

fof(c_0_15,plain,
    ! [X13,X14,X15,X16,X17,X18,X19,X20] :
      ( ~ eqangle(X13,X14,X15,X16,X17,X18,X19,X20)
      | eqangle(X17,X18,X19,X20,X13,X14,X15,X16) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD20])]) ).

cnf(c_0_16,plain,
    ( eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ eqangle(X1,X2,X5,X6,X3,X4,X7,X8) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_17,negated_conjecture,
    eqangle(esk2_0,esk3_0,X1,X2,esk6_0,esk5_0,X1,X2),
    inference(spm,[status(thm)],[c_0_13,c_0_14]) ).

fof(c_0_18,plain,
    ! [X13,X14,X15,X16,X17,X18,X19,X20] :
      ( ~ eqangle(X13,X14,X15,X16,X17,X18,X19,X20)
      | ~ para(X17,X18,X19,X20)
      | para(X13,X14,X15,X16) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD73])])])]) ).

cnf(c_0_19,plain,
    ( eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ eqangle(X5,X6,X7,X8,X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_20,negated_conjecture,
    eqangle(esk2_0,esk3_0,esk6_0,esk5_0,X1,X2,X1,X2),
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

fof(c_0_21,plain,
    ! [X4,X5,X6] :
      ( ~ para(X4,X5,X4,X6)
      | coll(X4,X5,X6) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])]) ).

cnf(c_0_22,plain,
    ( para(X1,X2,X3,X4)
    | ~ para(X5,X6,X7,X8)
    | ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_23,negated_conjecture,
    eqangle(X1,X2,X1,X2,esk2_0,esk3_0,esk6_0,esk5_0),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

fof(c_0_24,plain,
    ! [X4,X5,X6] :
      ( ~ coll(X4,X5,X6)
      | coll(X5,X4,X6) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])]) ).

cnf(c_0_25,plain,
    ( coll(X1,X2,X3)
    | ~ para(X1,X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_26,negated_conjecture,
    para(X1,X2,X1,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_14])]) ).

fof(c_0_27,plain,
    ! [X4,X5,X6] :
      ( ~ coll(X4,X5,X6)
      | coll(X4,X6,X5) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])]) ).

cnf(c_0_28,plain,
    ( coll(X1,X2,X3)
    | ~ coll(X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_29,negated_conjecture,
    coll(X1,X2,X2),
    inference(spm,[status(thm)],[c_0_25,c_0_26]) ).

fof(c_0_30,plain,
    ! [X5,X6,X7,X8] :
      ( ~ coll(X5,X6,X7)
      | ~ coll(X5,X6,X8)
      | coll(X7,X8,X5) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])]) ).

cnf(c_0_31,plain,
    ( coll(X1,X2,X3)
    | ~ coll(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_32,negated_conjecture,
    coll(X1,X2,X1),
    inference(spm,[status(thm)],[c_0_28,c_0_29]) ).

cnf(c_0_33,plain,
    ( coll(X1,X2,X3)
    | ~ coll(X3,X4,X2)
    | ~ coll(X3,X4,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_34,negated_conjecture,
    coll(X1,X1,X2),
    inference(spm,[status(thm)],[c_0_31,c_0_32]) ).

cnf(c_0_35,negated_conjecture,
    ~ coll(esk1_0,esk7_0,esk4_0),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_36,negated_conjecture,
    coll(X1,X2,X3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_34])]) ).

cnf(c_0_37,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_35,c_0_36])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GEO603+1 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.13  % Command  : run_ET %s %d
% 0.12/0.34  % Computer : n012.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Sat Jun 18 05:04:53 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.25/1.43  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.25/1.43  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.25/1.43  # Preprocessing time       : 0.024 s
% 0.25/1.43  
% 0.25/1.43  # Proof found!
% 0.25/1.43  # SZS status Theorem
% 0.25/1.43  # SZS output start CNFRefutation
% See solution above
% 0.25/1.43  # Proof object total steps             : 38
% 0.25/1.43  # Proof object clause steps            : 19
% 0.25/1.43  # Proof object formula steps           : 19
% 0.25/1.43  # Proof object conjectures             : 14
% 0.25/1.43  # Proof object clause conjectures      : 11
% 0.25/1.43  # Proof object formula conjectures     : 3
% 0.25/1.43  # Proof object initial clauses used    : 10
% 0.25/1.43  # Proof object initial formulas used   : 9
% 0.25/1.43  # Proof object generating inferences   : 8
% 0.25/1.43  # Proof object simplifying inferences  : 6
% 0.25/1.43  # Training examples: 0 positive, 0 negative
% 0.25/1.43  # Parsed axioms                        : 95
% 0.25/1.43  # Removed by relevancy pruning/SinE    : 21
% 0.25/1.43  # Initial clauses                      : 98
% 0.25/1.43  # Removed in clause preprocessing      : 0
% 0.25/1.43  # Initial clauses in saturation        : 98
% 0.25/1.43  # Processed clauses                    : 642
% 0.25/1.43  # ...of these trivial                  : 28
% 0.25/1.43  # ...subsumed                          : 66
% 0.25/1.43  # ...remaining for further processing  : 548
% 0.25/1.43  # Other redundant clauses eliminated   : 0
% 0.25/1.43  # Clauses deleted for lack of memory   : 0
% 0.25/1.43  # Backward-subsumed                    : 0
% 0.25/1.43  # Backward-rewritten                   : 350
% 0.25/1.43  # Generated clauses                    : 3902
% 0.25/1.43  # ...of the previous two non-trivial   : 3139
% 0.25/1.43  # Contextual simplify-reflections      : 7
% 0.25/1.43  # Paramodulations                      : 3902
% 0.25/1.43  # Factorizations                       : 0
% 0.25/1.43  # Equation resolutions                 : 0
% 0.25/1.43  # Current number of processed clauses  : 198
% 0.25/1.43  #    Positive orientable unit clauses  : 42
% 0.25/1.43  #    Positive unorientable unit clauses: 0
% 0.25/1.43  #    Negative unit clauses             : 0
% 0.25/1.43  #    Non-unit-clauses                  : 156
% 0.25/1.43  # Current number of unprocessed clauses: 785
% 0.25/1.43  # ...number of literals in the above   : 2789
% 0.25/1.43  # Current number of archived formulas  : 0
% 0.25/1.43  # Current number of archived clauses   : 350
% 0.25/1.43  # Clause-clause subsumption calls (NU) : 16431
% 0.25/1.43  # Rec. Clause-clause subsumption calls : 12431
% 0.25/1.43  # Non-unit clause-clause subsumptions  : 73
% 0.25/1.43  # Unit Clause-clause subsumption calls : 8926
% 0.25/1.43  # Rewrite failures with RHS unbound    : 0
% 0.25/1.43  # BW rewrite match attempts            : 1821
% 0.25/1.43  # BW rewrite match successes           : 251
% 0.25/1.43  # Condensation attempts                : 0
% 0.25/1.43  # Condensation successes               : 0
% 0.25/1.43  # Termbank termtop insertions          : 58446
% 0.25/1.43  
% 0.25/1.43  # -------------------------------------------------
% 0.25/1.43  # User time                : 0.120 s
% 0.25/1.43  # System time              : 0.006 s
% 0.25/1.43  # Total time               : 0.126 s
% 0.25/1.43  # Maximum resident set size: 6556 pages
%------------------------------------------------------------------------------