TSTP Solution File: KLE056+1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : KLE056+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n017.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  : 300s
% DateTime : Sat May  4 08:10:54 EDT 2024

% Result   : Theorem 0.20s 0.50s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   15 (  12 unt;   0 def)
%            Number of atoms       :   18 (  17 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    6 (   3   ~;   0   |;   1   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   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   :   11 (   1 sgn   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(goals,conjecture,
    ! [X4] :
      ( domain(X4) = zero
     => X4 = zero ),
    file('/export/starexec/sandbox/tmp/tmp.9qXnwGCrfM/E---3.1_19638.p',goals) ).

fof(domain1,axiom,
    ! [X4] : addition(X4,multiplication(domain(X4),X4)) = multiplication(domain(X4),X4),
    file('/export/starexec/sandbox/tmp/tmp.9qXnwGCrfM/E---3.1_19638.p',domain1) ).

fof(left_annihilation,axiom,
    ! [X1] : multiplication(zero,X1) = zero,
    file('/export/starexec/sandbox/tmp/tmp.9qXnwGCrfM/E---3.1_19638.p',left_annihilation) ).

fof(additive_identity,axiom,
    ! [X1] : addition(X1,zero) = X1,
    file('/export/starexec/sandbox/tmp/tmp.9qXnwGCrfM/E---3.1_19638.p',additive_identity) ).

fof(c_0_4,negated_conjecture,
    ~ ! [X4] :
        ( domain(X4) = zero
       => X4 = zero ),
    inference(assume_negation,[status(cth)],[goals]) ).

fof(c_0_5,plain,
    ! [X10] : addition(X10,multiplication(domain(X10),X10)) = multiplication(domain(X10),X10),
    inference(variable_rename,[status(thm)],[domain1]) ).

fof(c_0_6,negated_conjecture,
    ( domain(esk1_0) = zero
    & esk1_0 != zero ),
    inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])]) ).

fof(c_0_7,plain,
    ! [X9] : multiplication(zero,X9) = zero,
    inference(variable_rename,[status(thm)],[left_annihilation]) ).

fof(c_0_8,plain,
    ! [X7] : addition(X7,zero) = X7,
    inference(variable_rename,[status(thm)],[additive_identity]) ).

cnf(c_0_9,plain,
    addition(X1,multiplication(domain(X1),X1)) = multiplication(domain(X1),X1),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_10,negated_conjecture,
    domain(esk1_0) = zero,
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_11,plain,
    multiplication(zero,X1) = zero,
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_12,plain,
    addition(X1,zero) = X1,
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_13,negated_conjecture,
    esk1_0 != zero,
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_14,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]),c_0_12]),c_0_11]),c_0_13]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : KLE056+1 : TPTP v8.1.2. Released v4.0.0.
% 0.04/0.14  % Command    : run_E %s %d THM
% 0.13/0.35  % Computer : n017.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    : 300
% 0.13/0.35  % DateTime   : Fri May  3 17:19:53 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.20/0.49  Running first-order theorem proving
% 0.20/0.49  Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.9qXnwGCrfM/E---3.1_19638.p
% 0.20/0.50  # Version: 3.1.0
% 0.20/0.50  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.20/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.50  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.20/0.50  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.50  # Starting new_bool_1 with 300s (1) cores
% 0.20/0.50  # Starting sh5l with 300s (1) cores
% 0.20/0.50  # new_bool_1 with pid 19769 completed with status 0
% 0.20/0.50  # Result found by new_bool_1
% 0.20/0.50  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.20/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.50  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.20/0.50  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.50  # Starting new_bool_1 with 300s (1) cores
% 0.20/0.50  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.20/0.50  # Search class: FUUPM-FFSF21-MFFFFFNN
% 0.20/0.50  # Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.50  # Starting H----_047_C09_12_F1_AE_ND_CS_SP_S2S with 135s (1) cores
% 0.20/0.50  # H----_047_C09_12_F1_AE_ND_CS_SP_S2S with pid 19775 completed with status 0
% 0.20/0.50  # Result found by H----_047_C09_12_F1_AE_ND_CS_SP_S2S
% 0.20/0.50  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.20/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.50  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.20/0.50  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.50  # Starting new_bool_1 with 300s (1) cores
% 0.20/0.50  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.20/0.50  # Search class: FUUPM-FFSF21-MFFFFFNN
% 0.20/0.50  # Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.50  # Starting H----_047_C09_12_F1_AE_ND_CS_SP_S2S with 135s (1) cores
% 0.20/0.50  # Preprocessing time       : 0.001 s
% 0.20/0.50  # Presaturation interreduction done
% 0.20/0.50  
% 0.20/0.50  # Proof found!
% 0.20/0.50  # SZS status Theorem
% 0.20/0.50  # SZS output start CNFRefutation
% See solution above
% 0.20/0.50  # Parsed axioms                        : 18
% 0.20/0.50  # Removed by relevancy pruning/SinE    : 4
% 0.20/0.50  # Initial clauses                      : 15
% 0.20/0.50  # Removed in clause preprocessing      : 0
% 0.20/0.50  # Initial clauses in saturation        : 15
% 0.20/0.50  # Processed clauses                    : 46
% 0.20/0.50  # ...of these trivial                  : 9
% 0.20/0.50  # ...subsumed                          : 0
% 0.20/0.50  # ...remaining for further processing  : 37
% 0.20/0.50  # Other redundant clauses eliminated   : 0
% 0.20/0.50  # Clauses deleted for lack of memory   : 0
% 0.20/0.50  # Backward-subsumed                    : 0
% 0.20/0.50  # Backward-rewritten                   : 0
% 0.20/0.50  # Generated clauses                    : 116
% 0.20/0.50  # ...of the previous two non-redundant : 56
% 0.20/0.50  # ...aggressively subsumed             : 0
% 0.20/0.50  # Contextual simplify-reflections      : 0
% 0.20/0.50  # Paramodulations                      : 116
% 0.20/0.50  # Factorizations                       : 0
% 0.20/0.50  # NegExts                              : 0
% 0.20/0.50  # Equation resolutions                 : 0
% 0.20/0.50  # Disequality decompositions           : 0
% 0.20/0.50  # Total rewrite steps                  : 130
% 0.20/0.50  # ...of those cached                   : 71
% 0.20/0.50  # Propositional unsat checks           : 0
% 0.20/0.50  #    Propositional check models        : 0
% 0.20/0.50  #    Propositional check unsatisfiable : 0
% 0.20/0.50  #    Propositional clauses             : 0
% 0.20/0.50  #    Propositional clauses after purity: 0
% 0.20/0.50  #    Propositional unsat core size     : 0
% 0.20/0.50  #    Propositional preprocessing time  : 0.000
% 0.20/0.50  #    Propositional encoding time       : 0.000
% 0.20/0.50  #    Propositional solver time         : 0.000
% 0.20/0.50  #    Success case prop preproc time    : 0.000
% 0.20/0.50  #    Success case prop encoding time   : 0.000
% 0.20/0.50  #    Success case prop solver time     : 0.000
% 0.20/0.50  # Current number of processed clauses  : 22
% 0.20/0.50  #    Positive orientable unit clauses  : 20
% 0.20/0.50  #    Positive unorientable unit clauses: 1
% 0.20/0.50  #    Negative unit clauses             : 1
% 0.20/0.50  #    Non-unit-clauses                  : 0
% 0.20/0.50  # Current number of unprocessed clauses: 38
% 0.20/0.50  # ...number of literals in the above   : 38
% 0.20/0.50  # Current number of archived formulas  : 0
% 0.20/0.50  # Current number of archived clauses   : 15
% 0.20/0.50  # Clause-clause subsumption calls (NU) : 0
% 0.20/0.50  # Rec. Clause-clause subsumption calls : 0
% 0.20/0.50  # Non-unit clause-clause subsumptions  : 0
% 0.20/0.50  # Unit Clause-clause subsumption calls : 3
% 0.20/0.50  # Rewrite failures with RHS unbound    : 0
% 0.20/0.50  # BW rewrite match attempts            : 27
% 0.20/0.50  # BW rewrite match successes           : 22
% 0.20/0.50  # Condensation attempts                : 0
% 0.20/0.50  # Condensation successes               : 0
% 0.20/0.50  # Termbank termtop insertions          : 1536
% 0.20/0.50  # Search garbage collected termcells   : 37
% 0.20/0.50  
% 0.20/0.50  # -------------------------------------------------
% 0.20/0.50  # User time                : 0.007 s
% 0.20/0.50  # System time              : 0.000 s
% 0.20/0.50  # Total time               : 0.007 s
% 0.20/0.50  # Maximum resident set size: 1748 pages
% 0.20/0.50  
% 0.20/0.50  # -------------------------------------------------
% 0.20/0.50  # User time                : 0.009 s
% 0.20/0.50  # System time              : 0.001 s
% 0.20/0.50  # Total time               : 0.010 s
% 0.20/0.50  # Maximum resident set size: 1704 pages
% 0.20/0.50  % E---3.1 exiting
% 0.20/0.50  % E exiting
%------------------------------------------------------------------------------