TSTP Solution File: NUM848+1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : NUM848+1 : TPTP v8.2.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n022.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 : Tue May 21 01:17:32 EDT 2024

% Result   : Theorem 0.18s 0.47s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   23 (  19 unt;   0 def)
%            Number of atoms       :   27 (  26 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    9 (   5   ~;   0   |;   4   &)
%                                         (   0 <=>;   0  =>;   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    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :   19 (   0 sgn  12   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof('holds(286, 441, 4)',conjecture,
    vplus(vmul(vd436,vd437),vplus(vmul(vd436,vd439),vd436)) = vplus(vmul(vd436,vd437),vmul(vd436,vsucc(vd439))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(286, 441, 4)') ).

fof('qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))',axiom,
    ! [X79,X80] :
      ( vplus(X79,vsucc(X80)) = vsucc(vplus(X79,X80))
      & vplus(X79,v1) = vsucc(X79) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))') ).

fof('holds(286, 441, 3)',axiom,
    vplus(vplus(vmul(vd436,vd437),vmul(vd436,vd439)),vd436) = vplus(vmul(vd436,vd437),vplus(vmul(vd436,vd439),vd436)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(286, 441, 3)') ).

fof('holds(285, 440, 0)',axiom,
    vmul(vd436,vplus(vd437,vd439)) = vplus(vmul(vd436,vd437),vmul(vd436,vd439)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(285, 440, 0)') ).

fof('ass(cond(61, 0), 0)',axiom,
    ! [X71,X72] : vplus(X72,X71) = vplus(X71,X72),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(61, 0), 0)') ).

fof('qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0)))',axiom,
    ! [X6,X7] :
      ( vmul(X6,vsucc(X7)) = vplus(vmul(X6,X7),X6)
      & vmul(X6,v1) = X6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0)))') ).

fof(c_0_6,negated_conjecture,
    vplus(vmul(vd436,vd437),vplus(vmul(vd436,vd439),vd436)) != vplus(vmul(vd436,vd437),vmul(vd436,vsucc(vd439))),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],['holds(286, 441, 4)'])]) ).

fof(c_0_7,negated_conjecture,
    vplus(vmul(vd436,vd437),vplus(vmul(vd436,vd439),vd436)) != vplus(vmul(vd436,vd437),vmul(vd436,vsucc(vd439))),
    inference(fof_nnf,[status(thm)],[c_0_6]) ).

fof(c_0_8,plain,
    ! [X128,X129] :
      ( vplus(X128,vsucc(X129)) = vsucc(vplus(X128,X129))
      & vplus(X128,v1) = vsucc(X128) ),
    inference(variable_rename,[status(thm)],['qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))']) ).

cnf(c_0_9,plain,
    vplus(vplus(vmul(vd436,vd437),vmul(vd436,vd439)),vd436) = vplus(vmul(vd436,vd437),vplus(vmul(vd436,vd439),vd436)),
    inference(split_conjunct,[status(thm)],['holds(286, 441, 3)']) ).

cnf(c_0_10,plain,
    vmul(vd436,vplus(vd437,vd439)) = vplus(vmul(vd436,vd437),vmul(vd436,vd439)),
    inference(split_conjunct,[status(thm)],['holds(285, 440, 0)']) ).

cnf(c_0_11,negated_conjecture,
    vplus(vmul(vd436,vd437),vplus(vmul(vd436,vd439),vd436)) != vplus(vmul(vd436,vd437),vmul(vd436,vsucc(vd439))),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_12,plain,
    vplus(X1,v1) = vsucc(X1),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_13,plain,
    vplus(vmul(vd436,vd437),vplus(vmul(vd436,vd439),vd436)) = vplus(vmul(vd436,vplus(vd437,vd439)),vd436),
    inference(rw,[status(thm)],[c_0_9,c_0_10]) ).

fof(c_0_14,plain,
    ! [X113,X114] : vplus(X114,X113) = vplus(X113,X114),
    inference(variable_rename,[status(thm)],['ass(cond(61, 0), 0)']) ).

fof(c_0_15,plain,
    ! [X123,X124] :
      ( vmul(X123,vsucc(X124)) = vplus(vmul(X123,X124),X123)
      & vmul(X123,v1) = X123 ),
    inference(variable_rename,[status(thm)],['qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0)))']) ).

cnf(c_0_16,negated_conjecture,
    vplus(vmul(vd436,vd437),vmul(vd436,vplus(vd439,v1))) != vplus(vmul(vd436,vplus(vd437,vd439)),vd436),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_12]),c_0_13]) ).

cnf(c_0_17,plain,
    vplus(X1,X2) = vplus(X2,X1),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_18,plain,
    vmul(X1,vsucc(X2)) = vplus(vmul(X1,X2),X1),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_19,negated_conjecture,
    vplus(vmul(vd436,vd437),vmul(vd436,vplus(vd439,v1))) != vplus(vd436,vmul(vd436,vplus(vd437,vd439))),
    inference(rw,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_20,plain,
    vmul(X1,vplus(X2,v1)) = vplus(X1,vmul(X1,X2)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_18,c_0_12]),c_0_17]) ).

cnf(c_0_21,plain,
    vplus(vmul(vd436,vd437),vplus(vd436,vmul(vd436,vd439))) = vplus(vd436,vmul(vd436,vplus(vd437,vd439))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_17]),c_0_17]) ).

cnf(c_0_22,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_20]),c_0_21])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : NUM848+1 : TPTP v8.2.0. Released v4.1.0.
% 0.03/0.13  % Command    : run_E %s %d THM
% 0.12/0.33  % Computer : n022.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Mon May 20 06:43:22 EDT 2024
% 0.12/0.34  % CPUTime    : 
% 0.18/0.45  Running first-order theorem proving
% 0.18/0.45  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/benchmark/theBenchmark.p
% 0.18/0.47  # Version: 3.1.0
% 0.18/0.47  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.18/0.47  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.47  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.18/0.47  # Starting new_bool_3 with 300s (1) cores
% 0.18/0.47  # Starting new_bool_1 with 300s (1) cores
% 0.18/0.47  # Starting sh5l with 300s (1) cores
% 0.18/0.47  # new_bool_3 with pid 13451 completed with status 0
% 0.18/0.47  # Result found by new_bool_3
% 0.18/0.47  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.18/0.47  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.47  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.18/0.47  # Starting new_bool_3 with 300s (1) cores
% 0.18/0.47  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.18/0.47  # Search class: FGHPM-FFMM21-MFFFFFNN
% 0.18/0.47  # partial match(1): FGHSM-FFMM21-MFFFFFNN
% 0.18/0.47  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.18/0.47  # Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN with 181s (1) cores
% 0.18/0.47  # G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN with pid 13454 completed with status 0
% 0.18/0.47  # Result found by G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN
% 0.18/0.47  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.18/0.47  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.47  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.18/0.47  # Starting new_bool_3 with 300s (1) cores
% 0.18/0.47  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.18/0.47  # Search class: FGHPM-FFMM21-MFFFFFNN
% 0.18/0.47  # partial match(1): FGHSM-FFMM21-MFFFFFNN
% 0.18/0.47  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.18/0.47  # Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN with 181s (1) cores
% 0.18/0.47  # Preprocessing time       : 0.001 s
% 0.18/0.47  # Presaturation interreduction done
% 0.18/0.47  
% 0.18/0.47  # Proof found!
% 0.18/0.47  # SZS status Theorem
% 0.18/0.47  # SZS output start CNFRefutation
% See solution above
% 0.18/0.47  # Parsed axioms                        : 57
% 0.18/0.47  # Removed by relevancy pruning/SinE    : 27
% 0.18/0.47  # Initial clauses                      : 32
% 0.18/0.47  # Removed in clause preprocessing      : 1
% 0.18/0.47  # Initial clauses in saturation        : 31
% 0.18/0.47  # Processed clauses                    : 43
% 0.18/0.47  # ...of these trivial                  : 4
% 0.18/0.47  # ...subsumed                          : 5
% 0.18/0.47  # ...remaining for further processing  : 34
% 0.18/0.47  # Other redundant clauses eliminated   : 3
% 0.18/0.47  # Clauses deleted for lack of memory   : 0
% 0.18/0.47  # Backward-subsumed                    : 2
% 0.18/0.47  # Backward-rewritten                   : 14
% 0.18/0.47  # Generated clauses                    : 3
% 0.18/0.47  # ...of the previous two non-redundant : 14
% 0.18/0.47  # ...aggressively subsumed             : 0
% 0.18/0.47  # Contextual simplify-reflections      : 0
% 0.18/0.47  # Paramodulations                      : 0
% 0.18/0.47  # Factorizations                       : 0
% 0.18/0.47  # NegExts                              : 0
% 0.18/0.47  # Equation resolutions                 : 3
% 0.18/0.47  # Disequality decompositions           : 0
% 0.18/0.47  # Total rewrite steps                  : 38
% 0.18/0.47  # ...of those cached                   : 12
% 0.18/0.47  # Propositional unsat checks           : 0
% 0.18/0.47  #    Propositional check models        : 0
% 0.18/0.47  #    Propositional check unsatisfiable : 0
% 0.18/0.47  #    Propositional clauses             : 0
% 0.18/0.47  #    Propositional clauses after purity: 0
% 0.18/0.47  #    Propositional unsat core size     : 0
% 0.18/0.47  #    Propositional preprocessing time  : 0.000
% 0.18/0.47  #    Propositional encoding time       : 0.000
% 0.18/0.47  #    Propositional solver time         : 0.000
% 0.18/0.47  #    Success case prop preproc time    : 0.000
% 0.18/0.47  #    Success case prop encoding time   : 0.000
% 0.18/0.47  #    Success case prop solver time     : 0.000
% 0.18/0.47  # Current number of processed clauses  : 15
% 0.18/0.47  #    Positive orientable unit clauses  : 8
% 0.18/0.47  #    Positive unorientable unit clauses: 3
% 0.18/0.47  #    Negative unit clauses             : 2
% 0.18/0.47  #    Non-unit-clauses                  : 2
% 0.18/0.47  # Current number of unprocessed clauses: 2
% 0.18/0.47  # ...number of literals in the above   : 4
% 0.18/0.47  # Current number of archived formulas  : 0
% 0.18/0.47  # Current number of archived clauses   : 16
% 0.18/0.47  # Clause-clause subsumption calls (NU) : 5
% 0.18/0.47  # Rec. Clause-clause subsumption calls : 4
% 0.18/0.47  # Non-unit clause-clause subsumptions  : 2
% 0.18/0.47  # Unit Clause-clause subsumption calls : 15
% 0.18/0.47  # Rewrite failures with RHS unbound    : 0
% 0.18/0.47  # BW rewrite match attempts            : 62
% 0.18/0.47  # BW rewrite match successes           : 60
% 0.18/0.47  # Condensation attempts                : 0
% 0.18/0.47  # Condensation successes               : 0
% 0.18/0.47  # Termbank termtop insertions          : 1752
% 0.18/0.47  # Search garbage collected termcells   : 405
% 0.18/0.47  
% 0.18/0.47  # -------------------------------------------------
% 0.18/0.47  # User time                : 0.004 s
% 0.18/0.47  # System time              : 0.001 s
% 0.18/0.47  # Total time               : 0.005 s
% 0.18/0.47  # Maximum resident set size: 1896 pages
% 0.18/0.47  
% 0.18/0.47  # -------------------------------------------------
% 0.18/0.47  # User time                : 0.005 s
% 0.18/0.47  # System time              : 0.003 s
% 0.18/0.47  # Total time               : 0.008 s
% 0.18/0.47  # Maximum resident set size: 1788 pages
% 0.18/0.47  % E---3.1 exiting
% 0.18/0.47  % E exiting
%------------------------------------------------------------------------------