TSTP Solution File: SWW272+1 by E---3.2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.2.0
% Problem  : SWW272+1 : TPTP v8.2.0. Released v5.2.0.
% 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 : Mon Jun 24 18:11:28 EDT 2024

% Result   : Theorem 0.49s 1.02s
% Output   : CNFRefutation 0.49s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   18 (  15 unt;   0 def)
%            Number of atoms       :   21 (  15 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   11 (   8   ~;   2   |;   0   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    9 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;   4 con; 0-3 aty)
%            Number of variables   :    7 (   2 sgn   4   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(fact_pne,axiom,
    v_pa____ != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
    file('/export/starexec/sandbox/tmp/tmp.mU1HYsjYft/E---3.1_1131.p',fact_pne) ).

fof(conj_0,conjecture,
    v_s____ != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
    file('/export/starexec/sandbox/tmp/tmp.mU1HYsjYft/E---3.1_1131.p',conj_0) ).

fof(fact_mult__poly__0__right,axiom,
    ! [X15,X5] :
      ( class_Rings_Ocomm__semiring__0(X5)
     => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X5)),X15),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5))) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5)) ),
    file('/export/starexec/sandbox/tmp/tmp.mU1HYsjYft/E---3.1_1131.p',fact_mult__poly__0__right) ).

fof(fact_s,axiom,
    v_pa____ = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____))),v_s____),
    file('/export/starexec/sandbox/tmp/tmp.mU1HYsjYft/E---3.1_1131.p',fact_s) ).

fof(arity_Complex__Ocomplex__Rings_Ocomm__semiring__0,axiom,
    class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/tmp/tmp.mU1HYsjYft/E---3.1_1131.p',arity_Complex__Ocomplex__Rings_Ocomm__semiring__0) ).

fof(c_0_5,plain,
    v_pa____ != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
    inference(fof_simplification,[status(thm)],[fact_pne]) ).

fof(c_0_6,negated_conjecture,
    v_s____ = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])]) ).

fof(c_0_7,plain,
    ! [X417,X418] :
      ( ~ class_Rings_Ocomm__semiring__0(X418)
      | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X418)),X417),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X418))) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X418)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__poly__0__right])])]) ).

fof(c_0_8,plain,
    v_pa____ != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
    inference(fof_nnf,[status(thm)],[c_0_5]) ).

cnf(c_0_9,plain,
    v_pa____ = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____))),v_s____),
    inference(split_conjunct,[status(thm)],[fact_s]) ).

cnf(c_0_10,negated_conjecture,
    v_s____ = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_11,plain,
    ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X1)),X2),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
    | ~ class_Rings_Ocomm__semiring__0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_12,plain,
    class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Rings_Ocomm__semiring__0]) ).

cnf(c_0_13,plain,
    v_pa____ != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_14,plain,
    hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),v_s____))),c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____))),v_s____) = v_pa____,
    inference(rw,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_15,negated_conjecture,
    hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1),v_s____) = v_s____,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_10]),c_0_12])]) ).

cnf(c_0_16,plain,
    v_s____ != v_pa____,
    inference(rw,[status(thm)],[c_0_13,c_0_10]) ).

cnf(c_0_17,plain,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_15]),c_0_16]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SWW272+1 : TPTP v8.2.0. Released v5.2.0.
% 0.11/0.12  % Command    : run_E %s %d THM
% 0.12/0.33  % Computer : n017.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   : Wed Jun 19 09:28:54 EDT 2024
% 0.12/0.34  % CPUTime    : 
% 0.48/0.63  Running first-order theorem proving
% 0.48/0.63  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.mU1HYsjYft/E---3.1_1131.p
% 0.49/1.02  # Version: 3.2.0
% 0.49/1.02  # Preprocessing class: FMLMSMSMSSSNFFN.
% 0.49/1.02  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.49/1.02  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.49/1.02  # Starting new_bool_3 with 300s (1) cores
% 0.49/1.02  # Starting new_bool_1 with 300s (1) cores
% 0.49/1.02  # Starting sh5l with 300s (1) cores
% 0.49/1.02  # new_bool_3 with pid 1215 completed with status 0
% 0.49/1.02  # Result found by new_bool_3
% 0.49/1.02  # Preprocessing class: FMLMSMSMSSSNFFN.
% 0.49/1.02  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.49/1.02  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.49/1.02  # Starting new_bool_3 with 300s (1) cores
% 0.49/1.02  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.49/1.02  # Search class: FGHSM-FSLM32-DFFFFFNN
% 0.49/1.02  # Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 0.49/1.02  # Starting G-E--_301_C18_F1_URBAN_S5PRR_S0Y with 23s (1) cores
% 0.49/1.02  # G-E--_301_C18_F1_URBAN_S5PRR_S0Y with pid 1219 completed with status 0
% 0.49/1.02  # Result found by G-E--_301_C18_F1_URBAN_S5PRR_S0Y
% 0.49/1.02  # Preprocessing class: FMLMSMSMSSSNFFN.
% 0.49/1.02  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.49/1.02  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.49/1.02  # Starting new_bool_3 with 300s (1) cores
% 0.49/1.02  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.49/1.02  # Search class: FGHSM-FSLM32-DFFFFFNN
% 0.49/1.02  # Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 0.49/1.02  # Starting G-E--_301_C18_F1_URBAN_S5PRR_S0Y with 23s (1) cores
% 0.49/1.02  # Preprocessing time       : 0.013 s
% 0.49/1.02  
% 0.49/1.02  # Proof found!
% 0.49/1.02  # SZS status Theorem
% 0.49/1.02  # SZS output start CNFRefutation
% See solution above
% 0.49/1.02  # Parsed axioms                        : 1206
% 0.49/1.02  # Removed by relevancy pruning/SinE    : 700
% 0.49/1.02  # Initial clauses                      : 687
% 0.49/1.02  # Removed in clause preprocessing      : 46
% 0.49/1.02  # Initial clauses in saturation        : 641
% 0.49/1.02  # Processed clauses                    : 806
% 0.49/1.02  # ...of these trivial                  : 13
% 0.49/1.02  # ...subsumed                          : 206
% 0.49/1.02  # ...remaining for further processing  : 587
% 0.49/1.02  # Other redundant clauses eliminated   : 56
% 0.49/1.02  # Clauses deleted for lack of memory   : 0
% 0.49/1.02  # Backward-subsumed                    : 3
% 0.49/1.02  # Backward-rewritten                   : 9
% 0.49/1.02  # Generated clauses                    : 14470
% 0.49/1.02  # ...of the previous two non-redundant : 12871
% 0.49/1.02  # ...aggressively subsumed             : 0
% 0.49/1.02  # Contextual simplify-reflections      : 0
% 0.49/1.02  # Paramodulations                      : 14381
% 0.49/1.02  # Factorizations                       : 8
% 0.49/1.02  # NegExts                              : 0
% 0.49/1.02  # Equation resolutions                 : 81
% 0.49/1.02  # Disequality decompositions           : 0
% 0.49/1.02  # Total rewrite steps                  : 11383
% 0.49/1.02  # ...of those cached                   : 10298
% 0.49/1.02  # Propositional unsat checks           : 0
% 0.49/1.02  #    Propositional check models        : 0
% 0.49/1.02  #    Propositional check unsatisfiable : 0
% 0.49/1.02  #    Propositional clauses             : 0
% 0.49/1.02  #    Propositional clauses after purity: 0
% 0.49/1.02  #    Propositional unsat core size     : 0
% 0.49/1.02  #    Propositional preprocessing time  : 0.000
% 0.49/1.02  #    Propositional encoding time       : 0.000
% 0.49/1.02  #    Propositional solver time         : 0.000
% 0.49/1.02  #    Success case prop preproc time    : 0.000
% 0.49/1.02  #    Success case prop encoding time   : 0.000
% 0.49/1.02  #    Success case prop solver time     : 0.000
% 0.49/1.02  # Current number of processed clauses  : 558
% 0.49/1.02  #    Positive orientable unit clauses  : 105
% 0.49/1.02  #    Positive unorientable unit clauses: 8
% 0.49/1.02  #    Negative unit clauses             : 22
% 0.49/1.02  #    Non-unit-clauses                  : 423
% 0.49/1.02  # Current number of unprocessed clauses: 12704
% 0.49/1.02  # ...number of literals in the above   : 33211
% 0.49/1.02  # Current number of archived formulas  : 0
% 0.49/1.02  # Current number of archived clauses   : 12
% 0.49/1.02  # Clause-clause subsumption calls (NU) : 11009
% 0.49/1.02  # Rec. Clause-clause subsumption calls : 8310
% 0.49/1.02  # Non-unit clause-clause subsumptions  : 129
% 0.49/1.02  # Unit Clause-clause subsumption calls : 433
% 0.49/1.02  # Rewrite failures with RHS unbound    : 0
% 0.49/1.02  # BW rewrite match attempts            : 519
% 0.49/1.02  # BW rewrite match successes           : 58
% 0.49/1.02  # Condensation attempts                : 0
% 0.49/1.02  # Condensation successes               : 0
% 0.49/1.02  # Termbank termtop insertions          : 361134
% 0.49/1.02  # Search garbage collected termcells   : 12614
% 0.49/1.02  
% 0.49/1.02  # -------------------------------------------------
% 0.49/1.02  # User time                : 0.317 s
% 0.49/1.02  # System time              : 0.016 s
% 0.49/1.02  # Total time               : 0.333 s
% 0.49/1.02  # Maximum resident set size: 4892 pages
% 0.49/1.02  
% 0.49/1.02  # -------------------------------------------------
% 0.49/1.02  # User time                : 0.355 s
% 0.49/1.02  # System time              : 0.019 s
% 0.49/1.02  # Total time               : 0.374 s
% 0.49/1.02  # Maximum resident set size: 3108 pages
% 0.49/1.02  % E---3.1 exiting
% 0.49/1.02  % E exiting
%------------------------------------------------------------------------------