TSTP Solution File: CSR105+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : CSR105+1 : TPTP v8.1.0. Bugfixed v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n005.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 : Fri Jul 15 03:02:48 EDT 2022

% Result   : Theorem 2.17s 66.40s
% Output   : CNFRefutation 2.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   33 (  13 unt;   0 def)
%            Number of atoms       :  109 (  24 equ)
%            Maximal formula atoms :   45 (   3 avg)
%            Number of connectives :  122 (  46   ~;  54   |;  16   &)
%                                         (   1 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   24 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   5 con; 0-3 aty)
%            Number of variables   :   77 (  45 sgn  20   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(prove_from_SUMO,conjecture,
    s__overlapsTemporally(s__TimeInterval36_1,s__TimeInterval36_2),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',prove_from_SUMO) ).

fof(kb_SUMO_3496,axiom,
    ! [X171,X172,X173] :
      ( X172 = s__UnionFn(X173,X171)
    <=> ! [X174,X175,X176] :
          ( ( s__instance(X173,s__SetOrClass)
            & s__instance(X172,s__SetOrClass)
            & s__instance(X171,s__SetOrClass) )
         => ( ( s__instance(X174,X173)
              & s__instance(X175,X171)
              & s__instance(X176,X172) )
           => ( s__instance(X174,X172)
              & s__instance(X175,X172)
              & ( s__instance(X176,X173)
                | s__instance(X176,X171) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR003+0.ax',kb_SUMO_3496) ).

fof(kb_SUMO_982,axiom,
    ! [X48] :
      ( s__instance(X48,s__TimeInterval)
     => s__overlapsTemporally(X48,X48) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR003+0.ax',kb_SUMO_982) ).

fof(kb_SUMO_3533,axiom,
    ! [X168] :
      ( s__instance(X168,s__SetOrClass)
     => ( s__instance(X168,s__NullSet)
       => ~ ? [X48] : s__instance(X48,X168) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR003+0.ax',kb_SUMO_3533) ).

fof(local_1,axiom,
    s__instance(s__TimeInterval36_1,s__TimeInterval),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',local_1) ).

fof(c_0_5,negated_conjecture,
    ~ s__overlapsTemporally(s__TimeInterval36_1,s__TimeInterval36_2),
    inference(assume_negation,[status(cth)],[prove_from_SUMO]) ).

fof(c_0_6,plain,
    ! [X177,X178,X179,X180,X181,X182,X177,X178,X179] :
      ( ( s__instance(X180,X178)
        | ~ s__instance(X180,X179)
        | ~ s__instance(X181,X177)
        | ~ s__instance(X182,X178)
        | ~ s__instance(X179,s__SetOrClass)
        | ~ s__instance(X178,s__SetOrClass)
        | ~ s__instance(X177,s__SetOrClass)
        | X178 != s__UnionFn(X179,X177) )
      & ( s__instance(X181,X178)
        | ~ s__instance(X180,X179)
        | ~ s__instance(X181,X177)
        | ~ s__instance(X182,X178)
        | ~ s__instance(X179,s__SetOrClass)
        | ~ s__instance(X178,s__SetOrClass)
        | ~ s__instance(X177,s__SetOrClass)
        | X178 != s__UnionFn(X179,X177) )
      & ( s__instance(X182,X179)
        | s__instance(X182,X177)
        | ~ s__instance(X180,X179)
        | ~ s__instance(X181,X177)
        | ~ s__instance(X182,X178)
        | ~ s__instance(X179,s__SetOrClass)
        | ~ s__instance(X178,s__SetOrClass)
        | ~ s__instance(X177,s__SetOrClass)
        | X178 != s__UnionFn(X179,X177) )
      & ( s__instance(X179,s__SetOrClass)
        | X178 = s__UnionFn(X179,X177) )
      & ( s__instance(X178,s__SetOrClass)
        | X178 = s__UnionFn(X179,X177) )
      & ( s__instance(X177,s__SetOrClass)
        | X178 = s__UnionFn(X179,X177) )
      & ( s__instance(esk158_3(X177,X178,X179),X179)
        | X178 = s__UnionFn(X179,X177) )
      & ( s__instance(esk159_3(X177,X178,X179),X177)
        | X178 = s__UnionFn(X179,X177) )
      & ( s__instance(esk160_3(X177,X178,X179),X178)
        | X178 = s__UnionFn(X179,X177) )
      & ( ~ s__instance(esk160_3(X177,X178,X179),X179)
        | ~ s__instance(esk158_3(X177,X178,X179),X178)
        | ~ s__instance(esk159_3(X177,X178,X179),X178)
        | X178 = s__UnionFn(X179,X177) )
      & ( ~ s__instance(esk160_3(X177,X178,X179),X177)
        | ~ s__instance(esk158_3(X177,X178,X179),X178)
        | ~ s__instance(esk159_3(X177,X178,X179),X178)
        | X178 = s__UnionFn(X179,X177) ) ),
    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)],[kb_SUMO_3496])])])])])])]) ).

fof(c_0_7,negated_conjecture,
    ~ s__overlapsTemporally(s__TimeInterval36_1,s__TimeInterval36_2),
    inference(fof_simplification,[status(thm)],[c_0_5]) ).

cnf(c_0_8,plain,
    ( X1 = s__UnionFn(X2,X3)
    | s__instance(X3,s__SetOrClass) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_9,negated_conjecture,
    ~ s__overlapsTemporally(s__TimeInterval36_1,s__TimeInterval36_2),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_10,plain,
    ( X1 = X2
    | s__instance(X3,s__SetOrClass) ),
    inference(spm,[status(thm)],[c_0_8,c_0_8]) ).

fof(c_0_11,plain,
    ! [X49] :
      ( ~ s__instance(X49,s__TimeInterval)
      | s__overlapsTemporally(X49,X49) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[kb_SUMO_982])]) ).

fof(c_0_12,plain,
    ! [X169,X170] :
      ( ~ s__instance(X169,s__SetOrClass)
      | ~ s__instance(X169,s__NullSet)
      | ~ s__instance(X170,X169) ),
    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)],[kb_SUMO_3533])])])])]) ).

cnf(c_0_13,negated_conjecture,
    ( s__instance(X1,s__SetOrClass)
    | ~ s__overlapsTemporally(s__TimeInterval36_1,X2) ),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_14,plain,
    ( s__overlapsTemporally(X1,X1)
    | ~ s__instance(X1,s__TimeInterval) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_15,plain,
    s__instance(s__TimeInterval36_1,s__TimeInterval),
    inference(split_conjunct,[status(thm)],[local_1]) ).

cnf(c_0_16,plain,
    ( ~ s__instance(X1,X2)
    | ~ s__instance(X2,s__NullSet)
    | ~ s__instance(X2,s__SetOrClass) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_17,negated_conjecture,
    s__instance(X1,s__SetOrClass),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15])]) ).

cnf(c_0_18,plain,
    ( ~ s__instance(X1,s__NullSet)
    | ~ s__instance(X2,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_17])]) ).

cnf(c_0_19,plain,
    ( X1 = s__UnionFn(X2,X3)
    | s__instance(esk159_3(X3,X1,X2),X3) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_20,plain,
    ( X1 = s__UnionFn(X2,s__NullSet)
    | ~ s__instance(X3,esk159_3(s__NullSet,X1,X2)) ),
    inference(spm,[status(thm)],[c_0_18,c_0_19]) ).

cnf(c_0_21,plain,
    ( X1 = s__UnionFn(X2,X3)
    | s__instance(esk160_3(X3,X1,X2),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_22,plain,
    ( esk159_3(s__NullSet,X1,X2) = s__UnionFn(X3,X4)
    | X1 = s__UnionFn(X2,s__NullSet) ),
    inference(spm,[status(thm)],[c_0_20,c_0_21]) ).

cnf(c_0_23,plain,
    ( X1 = s__UnionFn(X2,s__NullSet)
    | s__instance(s__UnionFn(X3,X4),s__NullSet) ),
    inference(spm,[status(thm)],[c_0_19,c_0_22]) ).

cnf(c_0_24,plain,
    ( X1 = X2
    | s__instance(s__UnionFn(X3,X4),s__NullSet)
    | s__instance(s__UnionFn(X5,X6),s__NullSet) ),
    inference(spm,[status(thm)],[c_0_23,c_0_23]) ).

cnf(c_0_25,plain,
    ( X1 = X2
    | s__instance(s__UnionFn(X3,X4),s__NullSet) ),
    inference(ef,[status(thm)],[c_0_24]) ).

cnf(c_0_26,negated_conjecture,
    ( s__instance(s__UnionFn(X1,X2),s__NullSet)
    | ~ s__overlapsTemporally(s__TimeInterval36_1,X3) ),
    inference(spm,[status(thm)],[c_0_9,c_0_25]) ).

cnf(c_0_27,negated_conjecture,
    s__instance(s__UnionFn(X1,X2),s__NullSet),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_14]),c_0_15])]) ).

cnf(c_0_28,negated_conjecture,
    ~ s__instance(X1,s__UnionFn(X2,X3)),
    inference(spm,[status(thm)],[c_0_18,c_0_27]) ).

cnf(c_0_29,negated_conjecture,
    X1 = s__UnionFn(X2,s__UnionFn(X3,X4)),
    inference(spm,[status(thm)],[c_0_28,c_0_19]) ).

cnf(c_0_30,negated_conjecture,
    X1 = X2,
    inference(spm,[status(thm)],[c_0_29,c_0_29]) ).

cnf(c_0_31,negated_conjecture,
    ~ s__overlapsTemporally(s__TimeInterval36_1,X1),
    inference(spm,[status(thm)],[c_0_9,c_0_30]) ).

cnf(c_0_32,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_14]),c_0_15])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : CSR105+1 : TPTP v8.1.0. Bugfixed v7.3.0.
% 0.03/0.13  % Command  : run_ET %s %d
% 0.13/0.35  % Computer : n005.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Sat Jun 11 11:26:54 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 1.91/24.95  eprover: CPU time limit exceeded, terminating
% 1.91/24.95  eprover: CPU time limit exceeded, terminating
% 1.91/24.95  eprover: CPU time limit exceeded, terminating
% 1.91/24.96  eprover: CPU time limit exceeded, terminating
% 2.06/47.98  eprover: CPU time limit exceeded, terminating
% 2.06/47.99  eprover: CPU time limit exceeded, terminating
% 2.06/47.99  eprover: CPU time limit exceeded, terminating
% 2.06/48.22  eprover: CPU time limit exceeded, terminating
% 2.17/66.40  # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 2.17/66.40  
% 2.17/66.40  # Failure: Resource limit exceeded (time)
% 2.17/66.40  # OLD status Res
% 2.17/66.40  # Preprocessing time       : 0.527 s
% 2.17/66.40  # Running protocol protocol_eprover_773c90a94152ea2e8c9d3df9c4b1eb6152c40c03 for 23 seconds:
% 2.17/66.40  
% 2.17/66.40  # Failure: Resource limit exceeded (time)
% 2.17/66.40  # OLD status Res
% 2.17/66.40  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,,100,1.0)
% 2.17/66.40  # Preprocessing time       : 0.133 s
% 2.17/66.40  # Running protocol protocol_eprover_75515770aeb32f68e33e9fbd9dff93f5a2e34f2e for 23 seconds:
% 2.17/66.40  # Preprocessing time       : 0.395 s
% 2.17/66.40  
% 2.17/66.40  # Proof found!
% 2.17/66.40  # SZS status Theorem
% 2.17/66.40  # SZS output start CNFRefutation
% See solution above
% 2.17/66.40  # Proof object total steps             : 33
% 2.17/66.40  # Proof object clause steps            : 23
% 2.17/66.40  # Proof object formula steps           : 10
% 2.17/66.40  # Proof object conjectures             : 13
% 2.17/66.40  # Proof object clause conjectures      : 10
% 2.17/66.40  # Proof object formula conjectures     : 3
% 2.17/66.40  # Proof object initial clauses used    : 7
% 2.17/66.40  # Proof object initial formulas used   : 5
% 2.17/66.40  # Proof object generating inferences   : 15
% 2.17/66.40  # Proof object simplifying inferences  : 8
% 2.17/66.40  # Training examples: 0 positive, 0 negative
% 2.17/66.40  # Parsed axioms                        : 14793
% 2.17/66.40  # Removed by relevancy pruning/SinE    : 0
% 2.17/66.40  # Initial clauses                      : 15984
% 2.17/66.40  # Removed in clause preprocessing      : 63
% 2.17/66.40  # Initial clauses in saturation        : 15921
% 2.17/66.40  # Processed clauses                    : 18515
% 2.17/66.40  # ...of these trivial                  : 1317
% 2.17/66.40  # ...subsumed                          : 1608
% 2.17/66.40  # ...remaining for further processing  : 15590
% 2.17/66.40  # Other redundant clauses eliminated   : 7783
% 2.17/66.40  # Clauses deleted for lack of memory   : 851175
% 2.17/66.40  # Backward-subsumed                    : 664
% 2.17/66.40  # Backward-rewritten                   : 2301
% 2.17/66.40  # Generated clauses                    : 1669107
% 2.17/66.40  # ...of the previous two non-trivial   : 1659108
% 2.17/66.40  # Contextual simplify-reflections      : 0
% 2.17/66.40  # Paramodulations                      : 1660564
% 2.17/66.40  # Factorizations                       : 507
% 2.17/66.40  # Equation resolutions                 : 7889
% 2.17/66.40  # Current number of processed clauses  : 12469
% 2.17/66.40  #    Positive orientable unit clauses  : 10005
% 2.17/66.40  #    Positive unorientable unit clauses: 1
% 2.17/66.40  #    Negative unit clauses             : 8
% 2.17/66.40  #    Non-unit-clauses                  : 2455
% 2.17/66.40  # Current number of unprocessed clauses: 64949
% 2.17/66.40  # ...number of literals in the above   : 104757
% 2.17/66.40  # Current number of archived formulas  : 0
% 2.17/66.40  # Current number of archived clauses   : 3112
% 2.17/66.40  # Clause-clause subsumption calls (NU) : 622487
% 2.17/66.40  # Rec. Clause-clause subsumption calls : 117850
% 2.17/66.40  # Non-unit clause-clause subsumptions  : 1416
% 2.17/66.40  # Unit Clause-clause subsumption calls : 1780083
% 2.17/66.40  # Rewrite failures with RHS unbound    : 13171
% 2.17/66.40  # BW rewrite match attempts            : 38372
% 2.17/66.40  # BW rewrite match successes           : 13287
% 2.17/66.40  # Condensation attempts                : 0
% 2.17/66.40  # Condensation successes               : 0
% 2.17/66.40  # Termbank termtop insertions          : 12214254
% 2.17/66.40  
% 2.17/66.40  # -------------------------------------------------
% 2.17/66.40  # User time                : 17.967 s
% 2.17/66.40  # System time              : 0.337 s
% 2.17/66.40  # Total time               : 18.304 s
% 2.17/66.40  # Maximum resident set size: 450896 pages
% 2.17/71.01  eprover: CPU time limit exceeded, terminating
% 2.17/71.02  eprover: CPU time limit exceeded, terminating
% 2.17/71.05  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 2.17/71.05  eprover: No such file or directory
% 2.17/71.05  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.17/71.05  eprover: No such file or directory
% 2.17/71.05  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 2.17/71.05  eprover: No such file or directory
% 2.17/71.06  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.17/71.06  eprover: No such file or directory
% 2.17/71.06  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 2.17/71.06  eprover: No such file or directory
% 2.17/71.06  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.17/71.06  eprover: No such file or directory
% 2.17/71.06  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 2.17/71.06  eprover: No such file or directory
% 2.17/71.06  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.17/71.06  eprover: No such file or directory
% 2.17/71.07  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 2.17/71.07  eprover: No such file or directory
% 2.17/71.07  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.17/71.07  eprover: No such file or directory
% 2.17/71.07  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 2.17/71.07  eprover: No such file or directory
% 2.17/71.07  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.17/71.07  eprover: No such file or directory
% 2.17/71.07  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 2.17/71.07  eprover: No such file or directory
% 2.17/71.08  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.17/71.08  eprover: No such file or directory
% 2.17/71.08  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 2.17/71.08  eprover: No such file or directory
% 2.17/71.08  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.17/71.08  eprover: No such file or directory
% 2.17/71.08  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 2.17/71.08  eprover: No such file or directory
% 2.17/71.09  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.17/71.09  eprover: No such file or directory
% 2.17/71.25  eprover: CPU time limit exceeded, terminating
% 2.17/71.27  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 2.17/71.27  eprover: No such file or directory
% 2.17/71.28  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 2.17/71.28  eprover: No such file or directory
% 2.17/71.28  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 2.17/71.28  eprover: No such file or directory
% 2.17/71.29  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 2.17/71.29  eprover: No such file or directory
% 2.17/71.29  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 2.17/71.29  eprover: No such file or directory
% 2.17/71.29  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 2.17/71.29  eprover: No such file or directory
% 2.17/71.30  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 2.17/71.30  eprover: No such file or directory
% 2.17/71.30  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 2.17/71.30  eprover: No such file or directory
%------------------------------------------------------------------------------