TSTP Solution File: SWW271+1 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : SWW271+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n023.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 06:45:09 EDT 2024

% Result   : Theorem 4.50s 1.16s
% Output   : CNFRefutation 4.50s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   20 (  11 unt;   0 def)
%            Number of atoms       :   32 (   7 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   25 (  13   ~;   8   |;   0   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    6 (   4 usr;   2 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   3 con; 0-3 aty)
%            Number of variables   :   16 (   2 sgn   9   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(conj_1,conjecture,
    v_thesis____,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).

fof(conj_0,hypothesis,
    ( ? [X91] : v_qa____ = hAPP(hAPP(c_Groups_Otimes__class_Otimes(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))))),X91)
   => v_thesis____ ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).

fof(fact_dvd__mult__div__cancel,axiom,
    ! [X13,X11,X4] :
      ( class_Divides_Osemiring__div(X4)
     => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X4),X11),X13))
       => hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4),X11),c_Divides_Odiv__class_Odiv(X4,X13,X11)) = X13 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_dvd__mult__div__cancel) ).

fof(fact__096_091_058_N_Aa_M_A1_058_093_Advd_Aq_096,axiom,
    hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(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))))),v_qa____)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact__096_091_058_N_Aa_M_A1_058_093_Advd_Aq_096) ).

fof(arity_Polynomial__Opoly__Divides_Osemiring__div,axiom,
    ! [X89] :
      ( class_Fields_Ofield(X89)
     => class_Divides_Osemiring__div(tc_Polynomial_Opoly(X89)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Divides_Osemiring__div) ).

fof(arity_Complex__Ocomplex__Fields_Ofield,axiom,
    class_Fields_Ofield(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Fields_Ofield) ).

fof(c_0_6,negated_conjecture,
    ~ v_thesis____,
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_1])]) ).

fof(c_0_7,hypothesis,
    ! [X3029] :
      ( v_qa____ != hAPP(hAPP(c_Groups_Otimes__class_Otimes(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))))),X3029)
      | v_thesis____ ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_0])])])]) ).

fof(c_0_8,negated_conjecture,
    ~ v_thesis____,
    inference(fof_nnf,[status(thm)],[c_0_6]) ).

fof(c_0_9,plain,
    ! [X2708,X2709,X2710] :
      ( ~ class_Divides_Osemiring__div(X2710)
      | ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X2710),X2709),X2708))
      | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2710),X2709),c_Divides_Odiv__class_Odiv(X2710,X2708,X2709)) = X2708 ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_dvd__mult__div__cancel])])]) ).

cnf(c_0_10,hypothesis,
    ( v_thesis____
    | v_qa____ != hAPP(hAPP(c_Groups_Otimes__class_Otimes(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))))),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_11,negated_conjecture,
    ~ v_thesis____,
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_12,plain,
    ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),c_Divides_Odiv__class_Odiv(X1,X3,X2)) = X3
    | ~ class_Divides_Osemiring__div(X1)
    | ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X2),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_13,plain,
    hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(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))))),v_qa____)),
    inference(split_conjunct,[status(thm)],[fact__096_091_058_N_Aa_M_A1_058_093_Advd_Aq_096]) ).

cnf(c_0_14,hypothesis,
    hAPP(hAPP(c_Groups_Otimes__class_Otimes(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))))),X1) != v_qa____,
    inference(sr,[status(thm)],[c_0_10,c_0_11]) ).

fof(c_0_15,plain,
    ! [X2996] :
      ( ~ class_Fields_Ofield(X2996)
      | class_Divides_Osemiring__div(tc_Polynomial_Opoly(X2996)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Divides_Osemiring__div])])]) ).

cnf(c_0_16,plain,
    ~ class_Divides_Osemiring__div(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14]) ).

cnf(c_0_17,plain,
    ( class_Divides_Osemiring__div(tc_Polynomial_Opoly(X1))
    | ~ class_Fields_Ofield(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_18,plain,
    class_Fields_Ofield(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Fields_Ofield]) ).

cnf(c_0_19,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWW271+1 : TPTP v8.2.0. Released v5.2.0.
% 0.07/0.13  % Command    : run_E %s %d THM
% 0.14/0.34  % Computer : n023.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Sat May 18 21:08:08 EDT 2024
% 0.14/0.34  % CPUTime    : 
% 0.21/0.47  Running first-order model finding
% 0.21/0.47  Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 4.50/1.16  # Version: 3.1.0
% 4.50/1.16  # Preprocessing class: FMLMSMSMSSSNFFN.
% 4.50/1.16  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.50/1.16  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 4.50/1.16  # Starting new_bool_3 with 300s (1) cores
% 4.50/1.16  # Starting new_bool_1 with 300s (1) cores
% 4.50/1.16  # Starting sh5l with 300s (1) cores
% 4.50/1.16  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 19423 completed with status 0
% 4.50/1.16  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 4.50/1.16  # Preprocessing class: FMLMSMSMSSSNFFN.
% 4.50/1.16  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.50/1.16  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 4.50/1.16  # No SInE strategy applied
% 4.50/1.16  # Search class: FGHSM-SMLM32-DFFFFFNN
% 4.50/1.16  # Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 4.50/1.16  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with 113s (1) cores
% 4.50/1.16  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 4.50/1.16  # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 113s (1) cores
% 4.50/1.16  # Starting G-E--_208_B07CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 113s (1) cores
% 4.50/1.16  # Starting G-E--_208_B00_00_F1_SE_CS_SP_PS_S5PRR_S00EN with 113s (1) cores
% 4.50/1.16  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 19431 completed with status 0
% 4.50/1.16  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 4.50/1.16  # Preprocessing class: FMLMSMSMSSSNFFN.
% 4.50/1.16  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.50/1.16  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 4.50/1.16  # No SInE strategy applied
% 4.50/1.16  # Search class: FGHSM-SMLM32-DFFFFFNN
% 4.50/1.16  # Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 4.50/1.16  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with 113s (1) cores
% 4.50/1.16  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 4.50/1.16  # Preprocessing time       : 0.024 s
% 4.50/1.16  # Presaturation interreduction done
% 4.50/1.16  
% 4.50/1.16  # Proof found!
% 4.50/1.16  # SZS status Theorem
% 4.50/1.16  # SZS output start CNFRefutation
% See solution above
% 4.50/1.16  # Parsed axioms                        : 1209
% 4.50/1.16  # Removed by relevancy pruning/SinE    : 0
% 4.50/1.16  # Initial clauses                      : 1698
% 4.50/1.16  # Removed in clause preprocessing      : 78
% 4.50/1.16  # Initial clauses in saturation        : 1620
% 4.50/1.16  # Processed clauses                    : 3192
% 4.50/1.16  # ...of these trivial                  : 30
% 4.50/1.16  # ...subsumed                          : 672
% 4.50/1.16  # ...remaining for further processing  : 2490
% 4.50/1.16  # Other redundant clauses eliminated   : 322
% 4.50/1.16  # Clauses deleted for lack of memory   : 0
% 4.50/1.16  # Backward-subsumed                    : 2
% 4.50/1.16  # Backward-rewritten                   : 5
% 4.50/1.16  # Generated clauses                    : 11955
% 4.50/1.16  # ...of the previous two non-redundant : 9950
% 4.50/1.16  # ...aggressively subsumed             : 0
% 4.50/1.16  # Contextual simplify-reflections      : 2
% 4.50/1.16  # Paramodulations                      : 11634
% 4.50/1.16  # Factorizations                       : 8
% 4.50/1.16  # NegExts                              : 0
% 4.50/1.16  # Equation resolutions                 : 340
% 4.50/1.16  # Disequality decompositions           : 0
% 4.50/1.16  # Total rewrite steps                  : 7662
% 4.50/1.16  # ...of those cached                   : 6868
% 4.50/1.16  # Propositional unsat checks           : 0
% 4.50/1.16  #    Propositional check models        : 0
% 4.50/1.16  #    Propositional check unsatisfiable : 0
% 4.50/1.16  #    Propositional clauses             : 0
% 4.50/1.16  #    Propositional clauses after purity: 0
% 4.50/1.16  #    Propositional unsat core size     : 0
% 4.50/1.16  #    Propositional preprocessing time  : 0.000
% 4.50/1.16  #    Propositional encoding time       : 0.000
% 4.50/1.16  #    Propositional solver time         : 0.000
% 4.50/1.16  #    Success case prop preproc time    : 0.000
% 4.50/1.16  #    Success case prop encoding time   : 0.000
% 4.50/1.16  #    Success case prop solver time     : 0.000
% 4.50/1.16  # Current number of processed clauses  : 1017
% 4.50/1.16  #    Positive orientable unit clauses  : 264
% 4.50/1.16  #    Positive unorientable unit clauses: 9
% 4.50/1.16  #    Negative unit clauses             : 43
% 4.50/1.16  #    Non-unit-clauses                  : 701
% 4.50/1.16  # Current number of unprocessed clauses: 9682
% 4.50/1.16  # ...number of literals in the above   : 26500
% 4.50/1.16  # Current number of archived formulas  : 0
% 4.50/1.16  # Current number of archived clauses   : 1312
% 4.50/1.16  # Clause-clause subsumption calls (NU) : 266564
% 4.50/1.16  # Rec. Clause-clause subsumption calls : 141723
% 4.50/1.16  # Non-unit clause-clause subsumptions  : 345
% 4.50/1.16  # Unit Clause-clause subsumption calls : 2114
% 4.50/1.16  # Rewrite failures with RHS unbound    : 0
% 4.50/1.16  # BW rewrite match attempts            : 1045
% 4.50/1.16  # BW rewrite match successes           : 178
% 4.50/1.16  # Condensation attempts                : 0
% 4.50/1.16  # Condensation successes               : 0
% 4.50/1.16  # Termbank termtop insertions          : 362330
% 4.50/1.16  # Search garbage collected termcells   : 21733
% 4.50/1.16  
% 4.50/1.16  # -------------------------------------------------
% 4.50/1.16  # User time                : 0.569 s
% 4.50/1.16  # System time              : 0.025 s
% 4.50/1.16  # Total time               : 0.594 s
% 4.50/1.16  # Maximum resident set size: 8544 pages
% 4.50/1.16  
% 4.50/1.16  # -------------------------------------------------
% 4.50/1.16  # User time                : 2.491 s
% 4.50/1.16  # System time              : 0.097 s
% 4.50/1.16  # Total time               : 2.588 s
% 4.50/1.16  # Maximum resident set size: 3128 pages
% 4.50/1.16  % E---3.1 exiting
%------------------------------------------------------------------------------