TSTP Solution File: SWW376+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : SWW376+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n024.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 00:10:41 EDT 2022

% Result   : Theorem 1.72s 156.88s
% Output   : CNFRefutation 1.72s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   17 (  14 unt;   0 def)
%            Number of atoms       :   20 (  13 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   12 (   9   ~;   2   |;   0   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   1 con; 0-3 aty)
%            Number of variables   :   66 (  26 sgn  26   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(fact_impossible__Cons,axiom,
    ! [X41,X258,X257,X6] :
      ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X6)),X257)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X6)),X258)))
     => X257 != hAPP(hAPP(c_List_Olist_OCons(X6),X41),X258) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_impossible__Cons) ).

fof(fact_le__refl,axiom,
    ! [X136] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X136),X136)),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_le__refl) ).

fof(help_c__COMBS__1,axiom,
    ! [X67,X43,X19,X6,X5,X7] : hAPP(hAPP(hAPP(c_COMBS(X7,X5,X6),X19),X43),X67) = hAPP(hAPP(X19,X67),hAPP(X43,X67)),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',help_c__COMBS__1) ).

fof(fact_Collect__def,axiom,
    ! [X19,X6] : hAPP(c_Set_OCollect(X6),X19) = X19,
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_Collect__def) ).

fof(c_0_4,plain,
    ! [X259,X260,X261,X262] :
      ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X262)),X261)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X262)),X260)))
      | X261 != hAPP(hAPP(c_List_Olist_OCons(X262),X259),X260) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_impossible__Cons])]) ).

fof(c_0_5,plain,
    ! [X137] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X137),X137)),
    inference(variable_rename,[status(thm)],[fact_le__refl]) ).

cnf(c_0_6,plain,
    ( X1 != hAPP(hAPP(c_List_Olist_OCons(X2),X3),X4)
    | ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X2)),X1)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X2)),X4))) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7,plain,
    hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X1),X1)),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

fof(c_0_8,plain,
    ! [X68,X69,X70,X71,X72,X73] : hAPP(hAPP(hAPP(c_COMBS(X73,X72,X71),X70),X69),X68) = hAPP(hAPP(X70,X68),hAPP(X69,X68)),
    inference(variable_rename,[status(thm)],[help_c__COMBS__1]) ).

cnf(c_0_9,plain,
    hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3) != X3,
    inference(spm,[status(thm)],[c_0_6,c_0_7]) ).

cnf(c_0_10,plain,
    hAPP(hAPP(hAPP(c_COMBS(X1,X2,X3),X4),X5),X6) = hAPP(hAPP(X4,X6),hAPP(X5,X6)),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_11,plain,
    hAPP(hAPP(hAPP(c_COMBS(X1,X2,X3),c_List_Olist_OCons(X4)),X5),X6) != hAPP(X5,X6),
    inference(pm,[status(thm)],[c_0_9,c_0_10]) ).

fof(c_0_12,plain,
    ! [X20,X21] : hAPP(c_Set_OCollect(X21),X20) = X20,
    inference(variable_rename,[status(thm)],[fact_Collect__def]) ).

cnf(c_0_13,plain,
    hAPP(hAPP(hAPP(c_COMBS(X1,X2,X3),hAPP(c_COMBS(X4,X5,X6),c_List_Olist_OCons(X7))),X8),X9) != hAPP(X9,hAPP(X8,X9)),
    inference(pm,[status(thm)],[c_0_11,c_0_10]) ).

cnf(c_0_14,plain,
    hAPP(c_Set_OCollect(X1),X2) = X2,
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_15,plain,
    hAPP(hAPP(hAPP(c_COMBS(X1,X2,X3),hAPP(c_COMBS(X4,X5,X6),c_List_Olist_OCons(X7))),c_Set_OCollect(X8)),X9) != hAPP(X9,X9),
    inference(spm,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_16,plain,
    $false,
    inference(er,[status(thm)],[c_0_15]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SWW376+1 : TPTP v8.1.0. Released v5.2.0.
% 0.11/0.13  % Command  : run_ET %s %d
% 0.13/0.34  % Computer : n024.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sun Jun  5 11:50:35 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 1.07/24.13  eprover: CPU time limit exceeded, terminating
% 1.07/24.13  eprover: CPU time limit exceeded, terminating
% 1.07/24.14  eprover: CPU time limit exceeded, terminating
% 1.07/24.15  eprover: CPU time limit exceeded, terminating
% 1.18/47.14  eprover: CPU time limit exceeded, terminating
% 1.18/47.15  eprover: CPU time limit exceeded, terminating
% 1.18/47.16  eprover: CPU time limit exceeded, terminating
% 1.18/47.17  eprover: CPU time limit exceeded, terminating
% 1.29/70.16  eprover: CPU time limit exceeded, terminating
% 1.29/70.17  eprover: eprover: CPU time limit exceeded, terminatingCPU time limit exceeded, terminating
% 1.29/70.17  
% 1.29/70.18  eprover: CPU time limit exceeded, terminating
% 1.40/93.19  eprover: CPU time limit exceeded, terminating
% 1.40/93.19  eprover: CPU time limit exceeded, terminating
% 1.40/93.19  eprover: CPU time limit exceeded, terminating
% 1.40/93.22  eprover: CPU time limit exceeded, terminating
% 1.52/116.21  eprover: CPU time limit exceeded, terminating
% 1.52/116.21  eprover: CPU time limit exceeded, terminating
% 1.52/116.22  eprover: CPU time limit exceeded, terminating
% 1.52/116.24  eprover: CPU time limit exceeded, terminating
% 1.63/139.23  eprover: CPU time limit exceeded, terminating
% 1.63/139.23  eprover: CPU time limit exceeded, terminating
% 1.63/139.24  eprover: CPU time limit exceeded, terminating
% 1.63/139.26  eprover: CPU time limit exceeded, terminating
% 1.72/156.88  # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 1.72/156.88  
% 1.72/156.88  # Failure: Resource limit exceeded (time)
% 1.72/156.88  # OLD status Res
% 1.72/156.88  # Preprocessing time       : 1.006 s
% 1.72/156.88  # Running protocol protocol_eprover_773c90a94152ea2e8c9d3df9c4b1eb6152c40c03 for 23 seconds:
% 1.72/156.88  
% 1.72/156.88  # Failure: Resource limit exceeded (time)
% 1.72/156.88  # OLD status Res
% 1.72/156.88  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,,100,1.0)
% 1.72/156.88  # Preprocessing time       : 0.253 s
% 1.72/156.88  # Running protocol protocol_eprover_75515770aeb32f68e33e9fbd9dff93f5a2e34f2e for 23 seconds:
% 1.72/156.88  
% 1.72/156.88  # Failure: Resource limit exceeded (time)
% 1.72/156.88  # OLD status Res
% 1.72/156.88  # Preprocessing time       : 0.945 s
% 1.72/156.88  # Running protocol protocol_eprover_6c565d2524e660970ec2a72c26d577f665a55420 for 23 seconds:
% 1.72/156.88  
% 1.72/156.88  # Failure: Resource limit exceeded (time)
% 1.72/156.88  # OLD status Res
% 1.72/156.88  # Preprocessing time       : 1.156 s
% 1.72/156.88  # Running protocol protocol_eprover_750456fc664a9e0b97096ad0f5110b1ead7d782b for 23 seconds:
% 1.72/156.88  
% 1.72/156.88  # Failure: Resource limit exceeded (time)
% 1.72/156.88  # OLD status Res
% 1.72/156.88  # Preprocessing time       : 1.041 s
% 1.72/156.88  # Running protocol protocol_eprover_a9abcacdf80c460fdc9fe242616d68da2308faf5 for 23 seconds:
% 1.72/156.88  
% 1.72/156.88  # Failure: Resource limit exceeded (time)
% 1.72/156.88  # OLD status Res
% 1.72/156.88  # SinE strategy is GSinE(CountFormulas,hypos,1.1,,02,500,1.0)
% 1.72/156.88  # Preprocessing time       : 0.182 s
% 1.72/156.88  # Running protocol protocol_eprover_e60008599937a0dc787316fd87bf9ff4d65ffb48 for 23 seconds:
% 1.72/156.88  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,02,20000,1.0)
% 1.72/156.88  # Preprocessing time       : 0.303 s
% 1.72/156.88  
% 1.72/156.88  # Proof found!
% 1.72/156.88  # SZS status Theorem
% 1.72/156.88  # SZS output start CNFRefutation
% See solution above
% 1.72/156.88  # Proof object total steps             : 17
% 1.72/156.88  # Proof object clause steps            : 9
% 1.72/156.88  # Proof object formula steps           : 8
% 1.72/156.88  # Proof object conjectures             : 0
% 1.72/156.88  # Proof object clause conjectures      : 0
% 1.72/156.88  # Proof object formula conjectures     : 0
% 1.72/156.88  # Proof object initial clauses used    : 4
% 1.72/156.88  # Proof object initial formulas used   : 4
% 1.72/156.88  # Proof object generating inferences   : 5
% 1.72/156.88  # Proof object simplifying inferences  : 0
% 1.72/156.88  # Training examples: 0 positive, 0 negative
% 1.72/156.88  # Parsed axioms                        : 5243
% 1.72/156.88  # Removed by relevancy pruning/SinE    : 4092
% 1.72/156.88  # Initial clauses                      : 1692
% 1.72/156.88  # Removed in clause preprocessing      : 67
% 1.72/156.88  # Initial clauses in saturation        : 1625
% 1.72/156.88  # Processed clauses                    : 6573
% 1.72/156.88  # ...of these trivial                  : 172
% 1.72/156.88  # ...subsumed                          : 4514
% 1.72/156.88  # ...remaining for further processing  : 1887
% 1.72/156.88  # Other redundant clauses eliminated   : 1225
% 1.72/156.88  # Clauses deleted for lack of memory   : 275230
% 1.72/156.88  # Backward-subsumed                    : 56
% 1.72/156.88  # Backward-rewritten                   : 386
% 1.72/156.88  # Generated clauses                    : 724143
% 1.72/156.88  # ...of the previous two non-trivial   : 712844
% 1.72/156.88  # Contextual simplify-reflections      : 117
% 1.72/156.88  # Paramodulations                      : 722718
% 1.72/156.88  # Factorizations                       : 112
% 1.72/156.88  # Equation resolutions                 : 1315
% 1.72/156.88  # Current number of processed clauses  : 1407
% 1.72/156.88  #    Positive orientable unit clauses  : 353
% 1.72/156.88  #    Positive unorientable unit clauses: 40
% 1.72/156.88  #    Negative unit clauses             : 131
% 1.72/156.88  #    Non-unit-clauses                  : 883
% 1.72/156.88  # Current number of unprocessed clauses: 99566
% 1.72/156.88  # ...number of literals in the above   : 268462
% 1.72/156.88  # Current number of archived formulas  : 0
% 1.72/156.88  # Current number of archived clauses   : 442
% 1.72/156.88  # Clause-clause subsumption calls (NU) : 257144
% 1.72/156.88  # Rec. Clause-clause subsumption calls : 188693
% 1.72/156.88  # Non-unit clause-clause subsumptions  : 4049
% 1.72/156.88  # Unit Clause-clause subsumption calls : 17469
% 1.72/156.88  # Rewrite failures with RHS unbound    : 283
% 1.72/156.88  # BW rewrite match attempts            : 5061
% 1.72/156.88  # BW rewrite match successes           : 446
% 1.72/156.88  # Condensation attempts                : 0
% 1.72/156.88  # Condensation successes               : 0
% 1.72/156.88  # Termbank termtop insertions          : 20737998
% 1.72/156.88  
% 1.72/156.88  # -------------------------------------------------
% 1.72/156.88  # User time                : 16.788 s
% 1.72/156.88  # System time              : 0.142 s
% 1.72/156.88  # Total time               : 16.930 s
% 1.72/156.88  # Maximum resident set size: 162676 pages
% 1.72/162.25  eprover: CPU time limit exceeded, terminating
% 1.72/162.26  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.72/162.27  eprover: No such file or directory
% 1.72/162.27  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.72/162.27  eprover: No such file or directory
% 1.72/162.27  eprover: CPU time limit exceeded, terminating
% 1.72/162.28  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.72/162.28  eprover: No such file or directory
% 1.72/162.28  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.72/162.28  eprover: No such file or directory
% 1.72/162.28  eprover: CPU time limit exceeded, terminating
% 1.72/162.29  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.72/162.29  eprover: No such file or directory
% 1.72/162.29  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.72/162.29  eprover: No such file or directory
% 1.72/162.30  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.72/162.30  eprover: No such file or directory
% 1.72/162.30  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.72/162.30  eprover: No such file or directory
% 1.72/162.30  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.72/162.30  eprover: No such file or directory
% 1.72/162.30  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.72/162.30  eprover: No such file or directory
% 1.72/162.31  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.72/162.31  eprover: No such file or directory
% 1.72/162.31  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.72/162.31  eprover: No such file or directory
% 1.72/162.31  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.72/162.31  eprover: No such file or directory
% 1.72/162.31  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.72/162.31  eprover: No such file or directory
% 1.72/162.31  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.72/162.31  eprover: No such file or directory
%------------------------------------------------------------------------------