TSTP Solution File: KLE129+1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : KLE129+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n015.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 18:05:12 EDT 2023

% Result   : Theorem 0.24s 0.54s
% Output   : CNFRefutation 0.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   22 (  16 unt;   0 def)
%            Number of atoms       :   31 (  30 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   16 (   7   ~;   4   |;   1   &)
%                                         (   0 <=>;   3  =>;   1  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    9 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   2 con; 0-2 aty)
%            Number of variables   :   26 (   0 sgn;  15   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(goals,conjecture,
    ! [X4] :
      ( divergence(X4) = zero
     <= ! [X5] :
          ( addition(domain(X5),forward_diamond(X4,domain(X5))) = forward_diamond(X4,domain(X5))
         => domain(X5) = zero ) ),
    file('/export/starexec/sandbox2/tmp/tmp.NZeDUHLlVP/E---3.1_25874.p',goals) ).

fof(forward_diamond,axiom,
    ! [X4,X5] : forward_diamond(X4,X5) = domain(multiplication(X4,domain(X5))),
    file('/export/starexec/sandbox2/tmp/tmp.NZeDUHLlVP/E---3.1_25874.p',forward_diamond) ).

fof(domain4,axiom,
    ! [X4] : domain(X4) = antidomain(antidomain(X4)),
    file('/export/starexec/sandbox2/tmp/tmp.NZeDUHLlVP/E---3.1_25874.p',domain4) ).

fof(divergence1,axiom,
    ! [X4] : forward_diamond(X4,divergence(X4)) = divergence(X4),
    file('/export/starexec/sandbox2/tmp/tmp.NZeDUHLlVP/E---3.1_25874.p',divergence1) ).

fof(additive_idempotence,axiom,
    ! [X1] : addition(X1,X1) = X1,
    file('/export/starexec/sandbox2/tmp/tmp.NZeDUHLlVP/E---3.1_25874.p',additive_idempotence) ).

fof(c_0_5,negated_conjecture,
    ~ ! [X4] :
        ( ! [X5] :
            ( addition(domain(X5),forward_diamond(X4,domain(X5))) = forward_diamond(X4,domain(X5))
           => domain(X5) = zero )
       => divergence(X4) = zero ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[goals])]) ).

fof(c_0_6,plain,
    ! [X42,X43] : forward_diamond(X42,X43) = domain(multiplication(X42,domain(X43))),
    inference(variable_rename,[status(thm)],[forward_diamond]) ).

fof(c_0_7,plain,
    ! [X33] : domain(X33) = antidomain(antidomain(X33)),
    inference(variable_rename,[status(thm)],[domain4]) ).

fof(c_0_8,negated_conjecture,
    ! [X55] :
      ( ( addition(domain(X55),forward_diamond(esk1_0,domain(X55))) != forward_diamond(esk1_0,domain(X55))
        | domain(X55) = zero )
      & divergence(esk1_0) != zero ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])]) ).

cnf(c_0_9,plain,
    forward_diamond(X1,X2) = domain(multiplication(X1,domain(X2))),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_10,plain,
    domain(X1) = antidomain(antidomain(X1)),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

fof(c_0_11,plain,
    ! [X50] : forward_diamond(X50,divergence(X50)) = divergence(X50),
    inference(variable_rename,[status(thm)],[divergence1]) ).

cnf(c_0_12,negated_conjecture,
    ( domain(X1) = zero
    | addition(domain(X1),forward_diamond(esk1_0,domain(X1))) != forward_diamond(esk1_0,domain(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_13,plain,
    forward_diamond(X1,X2) = antidomain(antidomain(multiplication(X1,antidomain(antidomain(X2))))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_10]),c_0_10]) ).

cnf(c_0_14,plain,
    forward_diamond(X1,divergence(X1)) = divergence(X1),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_15,negated_conjecture,
    ( antidomain(antidomain(X1)) = zero
    | addition(antidomain(antidomain(X1)),antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(antidomain(antidomain(X1)))))))) != antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(antidomain(antidomain(X1))))))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_10]),c_0_10]),c_0_10]),c_0_10]),c_0_13]),c_0_13]) ).

cnf(c_0_16,plain,
    antidomain(antidomain(multiplication(X1,antidomain(antidomain(divergence(X1)))))) = divergence(X1),
    inference(rw,[status(thm)],[c_0_14,c_0_13]) ).

fof(c_0_17,plain,
    ! [X13] : addition(X13,X13) = X13,
    inference(variable_rename,[status(thm)],[additive_idempotence]) ).

cnf(c_0_18,negated_conjecture,
    ( divergence(X1) = zero
    | addition(divergence(X1),antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(divergence(X1))))))) != antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(divergence(X1)))))) ),
    inference(spm,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_19,plain,
    addition(X1,X1) = X1,
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_20,negated_conjecture,
    divergence(esk1_0) != zero,
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_21,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_16]),c_0_19])]),c_0_20]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : KLE129+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14  % Command    : run_E %s %d THM
% 0.14/0.38  % Computer : n015.cluster.edu
% 0.14/0.38  % Model    : x86_64 x86_64
% 0.14/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.38  % Memory   : 8042.1875MB
% 0.14/0.38  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.38  % CPULimit   : 2400
% 0.14/0.38  % WCLimit    : 300
% 0.14/0.38  % DateTime   : Tue Oct  3 05:02:32 EDT 2023
% 0.14/0.38  % CPUTime    : 
% 0.24/0.52  Running first-order model finding
% 0.24/0.52  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.NZeDUHLlVP/E---3.1_25874.p
% 0.24/0.54  # Version: 3.1pre001
% 0.24/0.54  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.24/0.54  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.54  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.24/0.54  # Starting new_bool_3 with 300s (1) cores
% 0.24/0.54  # Starting new_bool_1 with 300s (1) cores
% 0.24/0.54  # Starting sh5l with 300s (1) cores
% 0.24/0.54  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 26054 completed with status 0
% 0.24/0.54  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.24/0.54  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.24/0.54  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.54  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.24/0.54  # No SInE strategy applied
% 0.24/0.54  # Search class: FHUSM-FFMF21-DFFFFFNN
% 0.24/0.54  # partial match(1): FHUSM-FFMF21-MFFFFFNN
% 0.24/0.54  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.24/0.54  # Starting G-E--_100_C18_F1_PI_AE_Q4_CS_SP_PS_S0Y with 797s (1) cores
% 0.24/0.54  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.24/0.54  # Starting H----_042_B03_F1_AE_Q4_SP_S2S with 136s (1) cores
% 0.24/0.54  # Starting G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with 136s (1) cores
% 0.24/0.54  # Starting G-E--_200_C18_F1_AE_CS_SP_PI_S0Y with 136s (1) cores
% 0.24/0.54  # G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with pid 26066 completed with status 0
% 0.24/0.54  # Result found by G-E--_300_C18_F1_SE_CS_SP_PS_S0Y
% 0.24/0.54  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.24/0.54  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.54  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.24/0.54  # No SInE strategy applied
% 0.24/0.54  # Search class: FHUSM-FFMF21-DFFFFFNN
% 0.24/0.54  # partial match(1): FHUSM-FFMF21-MFFFFFNN
% 0.24/0.54  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.24/0.54  # Starting G-E--_100_C18_F1_PI_AE_Q4_CS_SP_PS_S0Y with 797s (1) cores
% 0.24/0.54  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.24/0.54  # Starting H----_042_B03_F1_AE_Q4_SP_S2S with 136s (1) cores
% 0.24/0.54  # Starting G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with 136s (1) cores
% 0.24/0.54  # Preprocessing time       : 0.001 s
% 0.24/0.54  # Presaturation interreduction done
% 0.24/0.54  
% 0.24/0.54  # Proof found!
% 0.24/0.54  # SZS status Theorem
% 0.24/0.54  # SZS output start CNFRefutation
% See solution above
% 0.24/0.54  # Parsed axioms                        : 29
% 0.24/0.54  # Removed by relevancy pruning/SinE    : 0
% 0.24/0.54  # Initial clauses                      : 31
% 0.24/0.54  # Removed in clause preprocessing      : 8
% 0.24/0.54  # Initial clauses in saturation        : 23
% 0.24/0.54  # Processed clauses                    : 58
% 0.24/0.54  # ...of these trivial                  : 3
% 0.24/0.54  # ...subsumed                          : 0
% 0.24/0.54  # ...remaining for further processing  : 55
% 0.24/0.54  # Other redundant clauses eliminated   : 0
% 0.24/0.54  # Clauses deleted for lack of memory   : 0
% 0.24/0.54  # Backward-subsumed                    : 1
% 0.24/0.54  # Backward-rewritten                   : 0
% 0.24/0.54  # Generated clauses                    : 71
% 0.24/0.54  # ...of the previous two non-redundant : 40
% 0.24/0.54  # ...aggressively subsumed             : 0
% 0.24/0.54  # Contextual simplify-reflections      : 0
% 0.24/0.54  # Paramodulations                      : 71
% 0.24/0.54  # Factorizations                       : 0
% 0.24/0.54  # NegExts                              : 0
% 0.24/0.54  # Equation resolutions                 : 0
% 0.24/0.54  # Total rewrite steps                  : 84
% 0.24/0.54  # Propositional unsat checks           : 0
% 0.24/0.54  #    Propositional check models        : 0
% 0.24/0.54  #    Propositional check unsatisfiable : 0
% 0.24/0.54  #    Propositional clauses             : 0
% 0.24/0.54  #    Propositional clauses after purity: 0
% 0.24/0.54  #    Propositional unsat core size     : 0
% 0.24/0.54  #    Propositional preprocessing time  : 0.000
% 0.24/0.54  #    Propositional encoding time       : 0.000
% 0.24/0.54  #    Propositional solver time         : 0.000
% 0.24/0.54  #    Success case prop preproc time    : 0.000
% 0.24/0.54  #    Success case prop encoding time   : 0.000
% 0.24/0.54  #    Success case prop solver time     : 0.000
% 0.24/0.54  # Current number of processed clauses  : 31
% 0.24/0.54  #    Positive orientable unit clauses  : 23
% 0.24/0.54  #    Positive unorientable unit clauses: 1
% 0.24/0.54  #    Negative unit clauses             : 1
% 0.24/0.54  #    Non-unit-clauses                  : 6
% 0.24/0.54  # Current number of unprocessed clauses: 28
% 0.24/0.54  # ...number of literals in the above   : 32
% 0.24/0.54  # Current number of archived formulas  : 0
% 0.24/0.54  # Current number of archived clauses   : 32
% 0.24/0.54  # Clause-clause subsumption calls (NU) : 3
% 0.24/0.54  # Rec. Clause-clause subsumption calls : 3
% 0.24/0.54  # Non-unit clause-clause subsumptions  : 1
% 0.24/0.54  # Unit Clause-clause subsumption calls : 1
% 0.24/0.54  # Rewrite failures with RHS unbound    : 0
% 0.24/0.54  # BW rewrite match attempts            : 22
% 0.24/0.54  # BW rewrite match successes           : 12
% 0.24/0.54  # Condensation attempts                : 0
% 0.24/0.54  # Condensation successes               : 0
% 0.24/0.54  # Termbank termtop insertions          : 2314
% 0.24/0.54  
% 0.24/0.54  # -------------------------------------------------
% 0.24/0.54  # User time                : 0.007 s
% 0.24/0.54  # System time              : 0.003 s
% 0.24/0.54  # Total time               : 0.010 s
% 0.24/0.54  # Maximum resident set size: 1836 pages
% 0.24/0.54  
% 0.24/0.54  # -------------------------------------------------
% 0.24/0.54  # User time                : 0.028 s
% 0.24/0.54  # System time              : 0.011 s
% 0.24/0.54  # Total time               : 0.040 s
% 0.24/0.54  # Maximum resident set size: 1700 pages
% 0.24/0.54  % E---3.1 exiting
%------------------------------------------------------------------------------