TSTP Solution File: KLE138+1 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : KLE138+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n029.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 : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 18:04:26 EDT 2023

% Result   : Theorem 0.37s 0.55s
% Output   : CNFRefutation 0.37s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   17 (  17 unt;   0 def)
%            Number of atoms       :   17 (  16 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   16 (   1 sgn;  10   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(infty_unfold1,axiom,
    ! [X1] : strong_iteration(X1) = addition(multiplication(X1,strong_iteration(X1)),one),
    file('/export/starexec/sandbox2/tmp/tmp.DAqMYbTC7S/E---3.1_26223.p',infty_unfold1) ).

fof(additive_commutativity,axiom,
    ! [X1,X2] : addition(X1,X2) = addition(X2,X1),
    file('/export/starexec/sandbox2/tmp/tmp.DAqMYbTC7S/E---3.1_26223.p',additive_commutativity) ).

fof(left_annihilation,axiom,
    ! [X1] : multiplication(zero,X1) = zero,
    file('/export/starexec/sandbox2/tmp/tmp.DAqMYbTC7S/E---3.1_26223.p',left_annihilation) ).

fof(additive_identity,axiom,
    ! [X1] : addition(X1,zero) = X1,
    file('/export/starexec/sandbox2/tmp/tmp.DAqMYbTC7S/E---3.1_26223.p',additive_identity) ).

fof(goals,conjecture,
    strong_iteration(zero) = one,
    file('/export/starexec/sandbox2/tmp/tmp.DAqMYbTC7S/E---3.1_26223.p',goals) ).

fof(c_0_5,plain,
    ! [X8] : strong_iteration(X8) = addition(multiplication(X8,strong_iteration(X8)),one),
    inference(variable_rename,[status(thm)],[infty_unfold1]) ).

fof(c_0_6,plain,
    ! [X30,X31] : addition(X30,X31) = addition(X31,X30),
    inference(variable_rename,[status(thm)],[additive_commutativity]) ).

cnf(c_0_7,plain,
    strong_iteration(X1) = addition(multiplication(X1,strong_iteration(X1)),one),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_8,plain,
    addition(X1,X2) = addition(X2,X1),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

fof(c_0_9,plain,
    ! [X14] : multiplication(zero,X14) = zero,
    inference(variable_rename,[status(thm)],[left_annihilation]) ).

fof(c_0_10,plain,
    ! [X13] : addition(X13,zero) = X13,
    inference(variable_rename,[status(thm)],[additive_identity]) ).

fof(c_0_11,negated_conjecture,
    strong_iteration(zero) != one,
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[goals])]) ).

cnf(c_0_12,plain,
    addition(one,multiplication(X1,strong_iteration(X1))) = strong_iteration(X1),
    inference(rw,[status(thm)],[c_0_7,c_0_8]) ).

cnf(c_0_13,plain,
    multiplication(zero,X1) = zero,
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_14,plain,
    addition(X1,zero) = X1,
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_15,negated_conjecture,
    strong_iteration(zero) != one,
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_16,plain,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14]),c_0_15]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.15  % Problem    : KLE138+1 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.16  % Command    : run_E %s %d THM
% 0.15/0.38  % Computer : n029.cluster.edu
% 0.15/0.38  % Model    : x86_64 x86_64
% 0.15/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.38  % Memory   : 8042.1875MB
% 0.15/0.38  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.38  % CPULimit   : 2400
% 0.15/0.38  % WCLimit    : 300
% 0.15/0.38  % DateTime   : Tue Oct  3 05:06:37 EDT 2023
% 0.15/0.38  % CPUTime    : 
% 0.23/0.54  Running first-order theorem proving
% 0.23/0.54  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.DAqMYbTC7S/E---3.1_26223.p
% 0.37/0.55  # Version: 3.1pre001
% 0.37/0.55  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.37/0.55  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.37/0.55  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.37/0.55  # Starting new_bool_3 with 300s (1) cores
% 0.37/0.55  # Starting new_bool_1 with 300s (1) cores
% 0.37/0.55  # Starting sh5l with 300s (1) cores
% 0.37/0.55  # sh5l with pid 26304 completed with status 0
% 0.37/0.55  # Result found by sh5l
% 0.37/0.55  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.37/0.55  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.37/0.55  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.37/0.55  # Starting new_bool_3 with 300s (1) cores
% 0.37/0.55  # Starting new_bool_1 with 300s (1) cores
% 0.37/0.55  # Starting sh5l with 300s (1) cores
% 0.37/0.55  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.37/0.55  # Search class: FHUSM-FFSF21-MFFFFFNN
% 0.37/0.55  # Scheduled 11 strats onto 1 cores with 300 seconds (300 total)
% 0.37/0.55  # Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 28s (1) cores
% 0.37/0.55  # G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 26305 completed with status 0
% 0.37/0.55  # Result found by G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.37/0.55  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.37/0.55  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.37/0.55  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.37/0.55  # Starting new_bool_3 with 300s (1) cores
% 0.37/0.55  # Starting new_bool_1 with 300s (1) cores
% 0.37/0.55  # Starting sh5l with 300s (1) cores
% 0.37/0.55  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.37/0.55  # Search class: FHUSM-FFSF21-MFFFFFNN
% 0.37/0.55  # Scheduled 11 strats onto 1 cores with 300 seconds (300 total)
% 0.37/0.55  # Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 28s (1) cores
% 0.37/0.55  # Preprocessing time       : 0.001 s
% 0.37/0.55  # Presaturation interreduction done
% 0.37/0.55  
% 0.37/0.55  # Proof found!
% 0.37/0.55  # SZS status Theorem
% 0.37/0.55  # SZS output start CNFRefutation
% See solution above
% 0.37/0.55  # Parsed axioms                        : 19
% 0.37/0.55  # Removed by relevancy pruning/SinE    : 0
% 0.37/0.55  # Initial clauses                      : 20
% 0.37/0.55  # Removed in clause preprocessing      : 0
% 0.37/0.55  # Initial clauses in saturation        : 20
% 0.37/0.55  # Processed clauses                    : 29
% 0.37/0.55  # ...of these trivial                  : 0
% 0.37/0.55  # ...subsumed                          : 0
% 0.37/0.55  # ...remaining for further processing  : 29
% 0.37/0.55  # Other redundant clauses eliminated   : 0
% 0.37/0.55  # Clauses deleted for lack of memory   : 0
% 0.37/0.55  # Backward-subsumed                    : 0
% 0.37/0.55  # Backward-rewritten                   : 0
% 0.37/0.55  # Generated clauses                    : 8
% 0.37/0.55  # ...of the previous two non-redundant : 5
% 0.37/0.55  # ...aggressively subsumed             : 0
% 0.37/0.55  # Contextual simplify-reflections      : 0
% 0.37/0.55  # Paramodulations                      : 8
% 0.37/0.55  # Factorizations                       : 0
% 0.37/0.55  # NegExts                              : 0
% 0.37/0.55  # Equation resolutions                 : 0
% 0.37/0.55  # Total rewrite steps                  : 7
% 0.37/0.55  # Propositional unsat checks           : 0
% 0.37/0.55  #    Propositional check models        : 0
% 0.37/0.55  #    Propositional check unsatisfiable : 0
% 0.37/0.55  #    Propositional clauses             : 0
% 0.37/0.55  #    Propositional clauses after purity: 0
% 0.37/0.55  #    Propositional unsat core size     : 0
% 0.37/0.55  #    Propositional preprocessing time  : 0.000
% 0.37/0.55  #    Propositional encoding time       : 0.000
% 0.37/0.55  #    Propositional solver time         : 0.000
% 0.37/0.55  #    Success case prop preproc time    : 0.000
% 0.37/0.55  #    Success case prop encoding time   : 0.000
% 0.37/0.55  #    Success case prop solver time     : 0.000
% 0.37/0.55  # Current number of processed clauses  : 9
% 0.37/0.55  #    Positive orientable unit clauses  : 7
% 0.37/0.55  #    Positive unorientable unit clauses: 0
% 0.37/0.55  #    Negative unit clauses             : 1
% 0.37/0.55  #    Non-unit-clauses                  : 1
% 0.37/0.55  # Current number of unprocessed clauses: 14
% 0.37/0.55  # ...number of literals in the above   : 18
% 0.37/0.55  # Current number of archived formulas  : 0
% 0.37/0.55  # Current number of archived clauses   : 20
% 0.37/0.55  # Clause-clause subsumption calls (NU) : 5
% 0.37/0.55  # Rec. Clause-clause subsumption calls : 5
% 0.37/0.55  # Non-unit clause-clause subsumptions  : 0
% 0.37/0.55  # Unit Clause-clause subsumption calls : 0
% 0.37/0.55  # Rewrite failures with RHS unbound    : 0
% 0.37/0.55  # BW rewrite match attempts            : 6
% 0.37/0.55  # BW rewrite match successes           : 4
% 0.37/0.55  # Condensation attempts                : 0
% 0.37/0.55  # Condensation successes               : 0
% 0.37/0.55  # Termbank termtop insertions          : 947
% 0.37/0.55  
% 0.37/0.55  # -------------------------------------------------
% 0.37/0.55  # User time                : 0.006 s
% 0.37/0.55  # System time              : 0.000 s
% 0.37/0.55  # Total time               : 0.006 s
% 0.37/0.55  # Maximum resident set size: 1696 pages
% 0.37/0.55  
% 0.37/0.55  # -------------------------------------------------
% 0.37/0.55  # User time                : 0.007 s
% 0.37/0.55  # System time              : 0.002 s
% 0.37/0.55  # Total time               : 0.009 s
% 0.37/0.55  # Maximum resident set size: 1684 pages
% 0.37/0.55  % E---3.1 exiting
% 0.37/0.56  % E---3.1 exiting
%------------------------------------------------------------------------------