TSTP Solution File: GEO305+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : GEO305+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n021.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 04:05:22 EDT 2022

% Result   : Theorem 0.24s 1.42s
% Output   : CNFRefutation 0.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   30 (  22 unt;   0 def)
%            Number of atoms       :   94 (  30 equ)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :  106 (  42   ~;  32   |;  31   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   21 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;  10 con; 0-2 aty)
%            Number of variables   :   32 (   0 sgn  13   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof('qu(cond(axiom(83), 0), imp(cond(axiom(83), 0)))',axiom,
    ! [X4,X5,X6,X7,X8] :
      ( ( X7 = X8
        & ron(X5,X7)
        & ron(X4,X7)
        & rR(X5,X4,X6)
        & rline(X8)
        & ? [X9] :
            ( X6 = X9
            & rpoint(X9) )
        & ? [X10] :
            ( X5 = X10
            & rpoint(X10) )
        & ? [X11] :
            ( X4 = X11
            & rpoint(X11) ) )
     => ron(X6,X7) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in','qu(cond(axiom(83), 0), imp(cond(axiom(83), 0)))') ).

fof('and(holds(conjunct2(345), 1294, 0), and(pred(conjunct1(345), 9), and(pred(conjunct1(345), 8), and(pred(conjunct1(345), 7), and(qe(s3(plural(345))), and(qe(s2(plural(345))), qe(s1(plural(345)))))))))',axiom,
    ( vf(vd1287,vd1288) = vf(vd1287,vd1289)
    & vd1288 != vd1289
    & vd1287 != vd1289
    & vd1287 != vd1288
    & ? [X1] :
        ( vd1289 = X1
        & rpoint(X1) )
    & ? [X2] :
        ( vd1288 = X2
        & rpoint(X2) )
    & ? [X3] :
        ( vd1287 = X3
        & rpoint(X3) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in','and(holds(conjunct2(345), 1294, 0), and(pred(conjunct1(345), 9), and(pred(conjunct1(345), 8), and(pred(conjunct1(345), 7), and(qe(s3(plural(345))), and(qe(s2(plural(345))), qe(s1(plural(345)))))))))') ).

fof('pred(conjunct2(349), 0)',conjecture,
    ron(vd1302,vd1297),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in','pred(conjunct2(349), 0)') ).

fof('and(pred(conjunct2(348), 4), and(holds(conjunct2(348), 1304, 0), and(pred(conjunct2(348), 1), holds(conjunct1(348), 1301, 0))))',axiom,
    ( vd1302 = vd1303
    & rR(vd1289,vd1287,vd1302)
    & rpoint(vd1303)
    & rR(vd1288,vd1287,vd1299) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in','and(pred(conjunct2(348), 4), and(holds(conjunct2(348), 1304, 0), and(pred(conjunct2(348), 1), holds(conjunct1(348), 1301, 0))))') ).

fof('pred(s1(plural(347)), 0)',axiom,
    ron(vd1287,vd1297),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in','pred(s1(plural(347)), 0)') ).

fof('pred(s2(plural(347)), 0)',axiom,
    ron(vd1289,vd1297),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in','pred(s2(plural(347)), 0)') ).

fof('pred(347, 0)',axiom,
    rline(vd1297),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in','pred(347, 0)') ).

fof(c_0_7,plain,
    ! [X12,X13,X14,X15,X16,X17,X18,X19] :
      ( X15 != X16
      | ~ ron(X13,X15)
      | ~ ron(X12,X15)
      | ~ rR(X13,X12,X14)
      | ~ rline(X16)
      | X14 != X17
      | ~ rpoint(X17)
      | X13 != X18
      | ~ rpoint(X18)
      | X12 != X19
      | ~ rpoint(X19)
      | ron(X14,X15) ),
    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)],['qu(cond(axiom(83), 0), imp(cond(axiom(83), 0)))'])])])])]) ).

fof(c_0_8,plain,
    ( vf(vd1287,vd1288) = vf(vd1287,vd1289)
    & vd1288 != vd1289
    & vd1287 != vd1289
    & vd1287 != vd1288
    & vd1289 = esk1_0
    & rpoint(esk1_0)
    & vd1288 = esk2_0
    & rpoint(esk2_0)
    & vd1287 = esk3_0
    & rpoint(esk3_0) ),
    inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],['and(holds(conjunct2(345), 1294, 0), and(pred(conjunct1(345), 9), and(pred(conjunct1(345), 8), and(pred(conjunct1(345), 7), and(qe(s3(plural(345))), and(qe(s2(plural(345))), qe(s1(plural(345)))))))))'])])])]) ).

fof(c_0_9,negated_conjecture,
    ~ ron(vd1302,vd1297),
    inference(assume_negation,[status(cth)],['pred(conjunct2(349), 0)']) ).

cnf(c_0_10,plain,
    ( ron(X1,X2)
    | ~ rpoint(X3)
    | X4 != X3
    | ~ rpoint(X5)
    | X6 != X5
    | ~ rpoint(X7)
    | X1 != X7
    | ~ rline(X8)
    | ~ rR(X6,X4,X1)
    | ~ ron(X4,X2)
    | ~ ron(X6,X2)
    | X2 != X8 ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_11,plain,
    rR(vd1289,vd1287,vd1302),
    inference(split_conjunct,[status(thm)],['and(pred(conjunct2(348), 4), and(holds(conjunct2(348), 1304, 0), and(pred(conjunct2(348), 1), holds(conjunct1(348), 1301, 0))))']) ).

cnf(c_0_12,plain,
    vd1289 = esk1_0,
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_13,plain,
    vd1287 = esk3_0,
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_14,plain,
    vd1302 = vd1303,
    inference(split_conjunct,[status(thm)],['and(pred(conjunct2(348), 4), and(holds(conjunct2(348), 1304, 0), and(pred(conjunct2(348), 1), holds(conjunct1(348), 1301, 0))))']) ).

fof(c_0_15,negated_conjecture,
    ~ ron(vd1302,vd1297),
    inference(fof_simplification,[status(thm)],[c_0_9]) ).

cnf(c_0_16,plain,
    ( ron(X1,X2)
    | ~ rline(X2)
    | ~ rpoint(X1)
    | ~ rpoint(X3)
    | ~ rpoint(X4)
    | ~ rR(X3,X4,X1)
    | ~ ron(X3,X2)
    | ~ ron(X4,X2) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_10])])])]) ).

cnf(c_0_17,plain,
    rR(esk1_0,esk3_0,vd1303),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_12]),c_0_13]),c_0_14]) ).

cnf(c_0_18,plain,
    rpoint(vd1303),
    inference(split_conjunct,[status(thm)],['and(pred(conjunct2(348), 4), and(holds(conjunct2(348), 1304, 0), and(pred(conjunct2(348), 1), holds(conjunct1(348), 1301, 0))))']) ).

cnf(c_0_19,plain,
    rpoint(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_20,plain,
    rpoint(esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_21,plain,
    ron(vd1287,vd1297),
    inference(split_conjunct,[status(thm)],['pred(s1(plural(347)), 0)']) ).

cnf(c_0_22,plain,
    ron(vd1289,vd1297),
    inference(split_conjunct,[status(thm)],['pred(s2(plural(347)), 0)']) ).

cnf(c_0_23,negated_conjecture,
    ~ ron(vd1302,vd1297),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_24,plain,
    ( ron(vd1303,X1)
    | ~ rline(X1)
    | ~ ron(esk1_0,X1)
    | ~ ron(esk3_0,X1) ),
    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_18]),c_0_19]),c_0_20])]) ).

cnf(c_0_25,plain,
    ron(esk3_0,vd1297),
    inference(rw,[status(thm)],[c_0_21,c_0_13]) ).

cnf(c_0_26,plain,
    rline(vd1297),
    inference(split_conjunct,[status(thm)],['pred(347, 0)']) ).

cnf(c_0_27,plain,
    ron(esk1_0,vd1297),
    inference(rw,[status(thm)],[c_0_22,c_0_12]) ).

cnf(c_0_28,negated_conjecture,
    ~ ron(vd1303,vd1297),
    inference(rw,[status(thm)],[c_0_23,c_0_14]) ).

cnf(c_0_29,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]),c_0_27])]),c_0_28]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : GEO305+1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.12  % Command  : run_ET %s %d
% 0.12/0.33  % Computer : n021.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sat Jun 18 10:54:46 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.24/1.42  # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.24/1.42  # Preprocessing time       : 0.061 s
% 0.24/1.42  
% 0.24/1.42  # Proof found!
% 0.24/1.42  # SZS status Theorem
% 0.24/1.42  # SZS output start CNFRefutation
% See solution above
% 0.24/1.42  # Proof object total steps             : 30
% 0.24/1.42  # Proof object clause steps            : 19
% 0.24/1.42  # Proof object formula steps           : 11
% 0.24/1.42  # Proof object conjectures             : 5
% 0.24/1.42  # Proof object clause conjectures      : 2
% 0.24/1.42  # Proof object formula conjectures     : 3
% 0.24/1.42  # Proof object initial clauses used    : 12
% 0.24/1.42  # Proof object initial formulas used   : 7
% 0.24/1.42  # Proof object generating inferences   : 2
% 0.24/1.42  # Proof object simplifying inferences  : 18
% 0.24/1.42  # Training examples: 0 positive, 0 negative
% 0.24/1.42  # Parsed axioms                        : 125
% 0.24/1.42  # Removed by relevancy pruning/SinE    : 0
% 0.24/1.42  # Initial clauses                      : 292
% 0.24/1.42  # Removed in clause preprocessing      : 2
% 0.24/1.42  # Initial clauses in saturation        : 290
% 0.24/1.42  # Processed clauses                    : 1676
% 0.24/1.42  # ...of these trivial                  : 6
% 0.24/1.42  # ...subsumed                          : 680
% 0.24/1.42  # ...remaining for further processing  : 990
% 0.24/1.42  # Other redundant clauses eliminated   : 1184
% 0.24/1.42  # Clauses deleted for lack of memory   : 0
% 0.24/1.42  # Backward-subsumed                    : 45
% 0.24/1.42  # Backward-rewritten                   : 18
% 0.24/1.42  # Generated clauses                    : 10639
% 0.24/1.42  # ...of the previous two non-trivial   : 9305
% 0.24/1.42  # Contextual simplify-reflections      : 1477
% 0.24/1.42  # Paramodulations                      : 10370
% 0.24/1.42  # Factorizations                       : 0
% 0.24/1.42  # Equation resolutions                 : 1198
% 0.24/1.42  # Current number of processed clauses  : 674
% 0.24/1.42  #    Positive orientable unit clauses  : 33
% 0.24/1.42  #    Positive unorientable unit clauses: 0
% 0.24/1.42  #    Negative unit clauses             : 13
% 0.24/1.42  #    Non-unit-clauses                  : 628
% 0.24/1.42  # Current number of unprocessed clauses: 6611
% 0.24/1.42  # ...number of literals in the above   : 70813
% 0.24/1.42  # Current number of archived formulas  : 0
% 0.24/1.42  # Current number of archived clauses   : 63
% 0.24/1.42  # Clause-clause subsumption calls (NU) : 426497
% 0.24/1.42  # Rec. Clause-clause subsumption calls : 22236
% 0.24/1.42  # Non-unit clause-clause subsumptions  : 2193
% 0.24/1.42  # Unit Clause-clause subsumption calls : 238
% 0.24/1.42  # Rewrite failures with RHS unbound    : 0
% 0.24/1.42  # BW rewrite match attempts            : 8
% 0.24/1.42  # BW rewrite match successes           : 8
% 0.24/1.42  # Condensation attempts                : 0
% 0.24/1.42  # Condensation successes               : 0
% 0.24/1.42  # Termbank termtop insertions          : 381864
% 0.24/1.42  
% 0.24/1.42  # -------------------------------------------------
% 0.24/1.42  # User time                : 0.379 s
% 0.24/1.42  # System time              : 0.007 s
% 0.24/1.42  # Total time               : 0.386 s
% 0.24/1.42  # Maximum resident set size: 13972 pages
% 0.24/23.41  eprover: CPU time limit exceeded, terminating
% 0.24/23.43  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.43  eprover: No such file or directory
% 0.24/23.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.44  eprover: No such file or directory
% 0.24/23.44  eprover: CPU time limit exceeded, terminating
% 0.24/23.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.44  eprover: No such file or directory
% 0.24/23.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.45  eprover: No such file or directory
% 0.24/23.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.45  eprover: No such file or directory
% 0.24/23.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.46  eprover: No such file or directory
% 0.24/23.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.46  eprover: No such file or directory
% 0.24/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.47  eprover: No such file or directory
% 0.24/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.47  eprover: No such file or directory
% 0.24/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.47  eprover: No such file or directory
% 0.24/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.47  eprover: No such file or directory
% 0.24/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.47  eprover: No such file or directory
% 0.24/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.47  eprover: No such file or directory
% 0.24/23.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.48  eprover: No such file or directory
% 0.24/23.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.48  eprover: No such file or directory
% 0.24/23.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.48  eprover: No such file or directory
% 0.24/23.49  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.49  eprover: No such file or directory
% 0.24/23.49  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.49  eprover: No such file or directory
% 0.24/23.50  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.50  eprover: No such file or directory
% 0.24/23.50  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.50  eprover: No such file or directory
% 0.24/23.51  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.51  eprover: No such file or directory
% 0.24/23.51  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.51  eprover: No such file or directory
%------------------------------------------------------------------------------