TSTP Solution File: SWW347+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : SWW347+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n020.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 00:10:37 EDT 2022

% Result   : Theorem 1.91s 160.09s
% Output   : CNFRefutation 1.91s
% 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,
    ! [X90,X280,X275,X5] :
      ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X5)),X275)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X5)),X280)))
     => X275 != hAPP(hAPP(c_List_Olist_OCons(X5),X90),X280) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_impossible__Cons) ).

fof(fact_le__refl,axiom,
    ! [X91] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X91),X91)),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_le__refl) ).

fof(help_c__COMBS__1,axiom,
    ! [X35,X23,X24,X5,X64,X18] : hAPP(hAPP(hAPP(c_COMBS(X18,X64,X5),X24),X23),X35) = hAPP(hAPP(X24,X35),hAPP(X23,X35)),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',help_c__COMBS__1) ).

fof(fact_Collect__def,axiom,
    ! [X24,X5] : hAPP(c_Set_OCollect(X5),X24) = X24,
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_Collect__def) ).

fof(c_0_4,plain,
    ! [X281,X282,X283,X284] :
      ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X284)),X283)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X284)),X282)))
      | X283 != hAPP(hAPP(c_List_Olist_OCons(X284),X281),X282) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_impossible__Cons])]) ).

fof(c_0_5,plain,
    ! [X92] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X92),X92)),
    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,
    ! [X65,X66,X67,X68,X69,X70] : hAPP(hAPP(hAPP(c_COMBS(X70,X69,X68),X67),X66),X65) = hAPP(hAPP(X67,X65),hAPP(X66,X65)),
    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,
    ! [X25,X26] : hAPP(c_Set_OCollect(X26),X25) = X25,
    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
% 0.07/0.12  % Problem  : SWW347+1 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.13  % Command  : run_ET %s %d
% 0.13/0.34  % Computer : n020.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 : Sat Jun  4 18:01:22 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 1.05/24.10  eprover: CPU time limit exceeded, terminating
% 1.05/24.10  eprover: CPU time limit exceeded, terminating
% 1.05/24.11  eprover: CPU time limit exceeded, terminating
% 1.05/24.12  eprover: CPU time limit exceeded, terminating
% 1.20/47.11  eprover: CPU time limit exceeded, terminating
% 1.20/47.12  eprover: CPU time limit exceeded, terminating
% 1.20/47.12  eprover: CPU time limit exceeded, terminating
% 1.20/47.14  eprover: CPU time limit exceeded, terminating
% 1.34/70.14  eprover: CPU time limit exceeded, terminating
% 1.34/70.14  eprover: CPU time limit exceeded, terminating
% 1.34/70.14  eprover: CPU time limit exceeded, terminating
% 1.34/70.16  eprover: CPU time limit exceeded, terminating
% 1.50/93.16  eprover: CPU time limit exceeded, terminating
% 1.50/93.16  eprover: CPU time limit exceeded, terminating
% 1.50/93.17  eprover: CPU time limit exceeded, terminating
% 1.50/93.18  eprover: CPU time limit exceeded, terminating
% 1.65/116.17  eprover: CPU time limit exceeded, terminating
% 1.65/116.18  eprover: CPU time limit exceeded, terminating
% 1.65/116.19  eprover: CPU time limit exceeded, terminating
% 1.65/116.20  eprover: CPU time limit exceeded, terminating
% 1.78/139.19  eprover: CPU time limit exceeded, terminating
% 1.78/139.19  eprover: CPU time limit exceeded, terminating
% 1.78/139.21  eprover: CPU time limit exceeded, terminating
% 1.78/139.23  eprover: CPU time limit exceeded, terminating
% 1.91/160.09  # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 1.91/160.09  
% 1.91/160.09  # Failure: Resource limit exceeded (time)
% 1.91/160.09  # OLD status Res
% 1.91/160.09  # Preprocessing time       : 0.924 s
% 1.91/160.09  # Running protocol protocol_eprover_773c90a94152ea2e8c9d3df9c4b1eb6152c40c03 for 23 seconds:
% 1.91/160.09  
% 1.91/160.09  # Failure: Resource limit exceeded (time)
% 1.91/160.09  # OLD status Res
% 1.91/160.09  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,,100,1.0)
% 1.91/160.09  # Preprocessing time       : 0.256 s
% 1.91/160.09  # Running protocol protocol_eprover_75515770aeb32f68e33e9fbd9dff93f5a2e34f2e for 23 seconds:
% 1.91/160.09  
% 1.91/160.09  # Failure: Resource limit exceeded (time)
% 1.91/160.09  # OLD status Res
% 1.91/160.09  # Preprocessing time       : 1.026 s
% 1.91/160.09  # Running protocol protocol_eprover_6c565d2524e660970ec2a72c26d577f665a55420 for 23 seconds:
% 1.91/160.09  
% 1.91/160.09  # Failure: Resource limit exceeded (time)
% 1.91/160.09  # OLD status Res
% 1.91/160.09  # Preprocessing time       : 1.103 s
% 1.91/160.09  # Running protocol protocol_eprover_750456fc664a9e0b97096ad0f5110b1ead7d782b for 23 seconds:
% 1.91/160.09  
% 1.91/160.09  # Failure: Resource limit exceeded (time)
% 1.91/160.09  # OLD status Res
% 1.91/160.09  # Preprocessing time       : 0.773 s
% 1.91/160.09  # Running protocol protocol_eprover_a9abcacdf80c460fdc9fe242616d68da2308faf5 for 23 seconds:
% 1.91/160.09  
% 1.91/160.09  # Failure: Resource limit exceeded (time)
% 1.91/160.09  # OLD status Res
% 1.91/160.09  # SinE strategy is GSinE(CountFormulas,hypos,1.1,,02,500,1.0)
% 1.91/160.09  # Preprocessing time       : 0.161 s
% 1.91/160.09  # Running protocol protocol_eprover_e60008599937a0dc787316fd87bf9ff4d65ffb48 for 23 seconds:
% 1.91/160.09  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,02,20000,1.0)
% 1.91/160.09  # Preprocessing time       : 0.303 s
% 1.91/160.09  
% 1.91/160.09  # Proof found!
% 1.91/160.09  # SZS status Theorem
% 1.91/160.09  # SZS output start CNFRefutation
% See solution above
% 1.91/160.09  # Proof object total steps             : 17
% 1.91/160.09  # Proof object clause steps            : 9
% 1.91/160.09  # Proof object formula steps           : 8
% 1.91/160.09  # Proof object conjectures             : 0
% 1.91/160.09  # Proof object clause conjectures      : 0
% 1.91/160.09  # Proof object formula conjectures     : 0
% 1.91/160.09  # Proof object initial clauses used    : 4
% 1.91/160.09  # Proof object initial formulas used   : 4
% 1.91/160.09  # Proof object generating inferences   : 5
% 1.91/160.09  # Proof object simplifying inferences  : 0
% 1.91/160.09  # Training examples: 0 positive, 0 negative
% 1.91/160.09  # Parsed axioms                        : 5243
% 1.91/160.09  # Removed by relevancy pruning/SinE    : 4016
% 1.91/160.09  # Initial clauses                      : 1835
% 1.91/160.09  # Removed in clause preprocessing      : 72
% 1.91/160.09  # Initial clauses in saturation        : 1763
% 1.91/160.09  # Processed clauses                    : 6080
% 1.91/160.09  # ...of these trivial                  : 164
% 1.91/160.09  # ...subsumed                          : 3804
% 1.91/160.09  # ...remaining for further processing  : 2112
% 1.91/160.09  # Other redundant clauses eliminated   : 792
% 1.91/160.09  # Clauses deleted for lack of memory   : 241340
% 1.91/160.09  # Backward-subsumed                    : 96
% 1.91/160.09  # Backward-rewritten                   : 673
% 1.91/160.09  # Generated clauses                    : 882696
% 1.91/160.09  # ...of the previous two non-trivial   : 871951
% 1.91/160.09  # Contextual simplify-reflections      : 413
% 1.91/160.09  # Paramodulations                      : 881689
% 1.91/160.09  # Factorizations                       : 168
% 1.91/160.09  # Equation resolutions                 : 840
% 1.91/160.09  # Current number of processed clauses  : 1312
% 1.91/160.09  #    Positive orientable unit clauses  : 329
% 1.91/160.09  #    Positive unorientable unit clauses: 31
% 1.91/160.09  #    Negative unit clauses             : 75
% 1.91/160.09  #    Non-unit-clauses                  : 877
% 1.91/160.09  # Current number of unprocessed clauses: 65684
% 1.91/160.09  # ...number of literals in the above   : 192554
% 1.91/160.09  # Current number of archived formulas  : 0
% 1.91/160.09  # Current number of archived clauses   : 771
% 1.91/160.09  # Clause-clause subsumption calls (NU) : 293631
% 1.91/160.09  # Rec. Clause-clause subsumption calls : 196389
% 1.91/160.09  # Non-unit clause-clause subsumptions  : 3824
% 1.91/160.09  # Unit Clause-clause subsumption calls : 17559
% 1.91/160.09  # Rewrite failures with RHS unbound    : 86
% 1.91/160.09  # BW rewrite match attempts            : 5267
% 1.91/160.09  # BW rewrite match successes           : 405
% 1.91/160.09  # Condensation attempts                : 0
% 1.91/160.09  # Condensation successes               : 0
% 1.91/160.09  # Termbank termtop insertions          : 24922045
% 1.91/160.09  
% 1.91/160.09  # -------------------------------------------------
% 1.91/160.09  # User time                : 19.706 s
% 1.91/160.09  # System time              : 0.149 s
% 1.91/160.09  # Total time               : 19.855 s
% 1.91/160.09  # Maximum resident set size: 166956 pages
% 1.91/162.21  eprover: CPU time limit exceeded, terminating
% 1.91/162.21  eprover: CPU time limit exceeded, terminating
% 1.91/162.22  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.91/162.22  eprover: No such file or directory
% 1.91/162.23  eprover: CPU time limit exceeded, terminating
% 1.91/162.23  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.91/162.23  eprover: No such file or directory
% 1.91/162.23  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.91/162.23  eprover: No such file or directory
% 1.91/162.23  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.91/162.23  eprover: No such file or directory
% 1.91/162.24  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.91/162.24  eprover: No such file or directory
% 1.91/162.24  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.91/162.24  eprover: No such file or directory
% 1.91/162.24  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.91/162.24  eprover: No such file or directory
% 1.91/162.24  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.91/162.24  eprover: No such file or directory
% 1.91/162.25  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.91/162.25  eprover: No such file or directory
% 1.91/162.25  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.91/162.25  eprover: No such file or directory
% 1.91/162.25  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.91/162.25  eprover: No such file or directory
% 1.91/162.25  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.91/162.25  eprover: No such file or directory
% 1.91/162.26  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.91/162.26  eprover: No such file or directory
% 1.91/162.26  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.91/162.26  eprover: No such file or directory
% 1.91/162.27  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.91/162.27  eprover: No such file or directory
%------------------------------------------------------------------------------