TSTP Solution File: SWV617-1 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : SWV617-1 : TPTP v8.2.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n008.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 05:41:55 EDT 2024

% Result   : Unsatisfiable 0.91s 0.64s
% Output   : CNFRefutation 0.91s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   25 (  16 unt;   0 nHn;  11 RR)
%            Number of literals    :   34 (  18 equ;  13 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   3 con; 0-3 aty)
%            Number of variables   :   23 (   8 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
    c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(v_n),v_n,tc_Complex_Ocomplex),v_k,tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ominus__class_Ominus(c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(v_n),v_k,tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(cls_power__one_0,axiom,
    ( c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X1),X2,X1) = c_HOL_Oone__class_Oone(X1)
    | ~ class_OrderedGroup_Omonoid__mult(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_power__one_0) ).

cnf(cls_right__minus__eq_1,axiom,
    ( c_HOL_Ominus__class_Ominus(X2,X2,X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_right__minus__eq_1) ).

cnf(cls_divide_Ozero_0,axiom,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_RealVector_Oreal__normed__field(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_divide_Ozero_0) ).

cnf(cls_root__unity_0,axiom,
    c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(X1),X1,tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_root__unity_0) ).

cnf(clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__mult,axiom,
    class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__mult) ).

cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ogroup__add,axiom,
    class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__OrderedGroup_Ogroup__add) ).

cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__field,axiom,
    class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__RealVector_Oreal__normed__field) ).

cnf(c_0_8,negated_conjecture,
    c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(v_n),v_n,tc_Complex_Ocomplex),v_k,tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ominus__class_Ominus(c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(v_n),v_k,tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
    inference(fof_simplification,[status(thm)],[cls_conjecture_0]) ).

cnf(c_0_9,plain,
    ( c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X1),X2,X1) = c_HOL_Oone__class_Oone(X1)
    | ~ class_OrderedGroup_Omonoid__mult(X1) ),
    inference(fof_simplification,[status(thm)],[cls_power__one_0]) ).

cnf(c_0_10,plain,
    ( c_HOL_Ominus__class_Ominus(X2,X2,X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    inference(fof_simplification,[status(thm)],[cls_right__minus__eq_1]) ).

cnf(c_0_11,plain,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_RealVector_Oreal__normed__field(X1) ),
    inference(fof_simplification,[status(thm)],[cls_divide_Ozero_0]) ).

cnf(c_0_12,negated_conjecture,
    c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(v_n),v_n,tc_Complex_Ocomplex),v_k,tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ominus__class_Ominus(c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(v_n),v_k,tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
    c_0_8 ).

cnf(c_0_13,axiom,
    c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(X1),X1,tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),
    cls_root__unity_0 ).

cnf(c_0_14,plain,
    ( c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X1),X2,X1) = c_HOL_Oone__class_Oone(X1)
    | ~ class_OrderedGroup_Omonoid__mult(X1) ),
    c_0_9 ).

cnf(c_0_15,axiom,
    class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex),
    clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__mult ).

cnf(c_0_16,plain,
    ( c_HOL_Ominus__class_Ominus(X2,X2,X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    c_0_10 ).

cnf(c_0_17,axiom,
    class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex),
    clsarity_Complex__Ocomplex__OrderedGroup_Ogroup__add ).

cnf(c_0_18,plain,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_RealVector_Oreal__normed__field(X1) ),
    c_0_11 ).

cnf(c_0_19,axiom,
    class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex),
    clsarity_Complex__Ocomplex__RealVector_Oreal__normed__field ).

cnf(c_0_20,negated_conjecture,
    c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),v_k,tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ominus__class_Ominus(c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(v_n),v_k,tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_21,plain,
    c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_22,plain,
    c_HOL_Ominus__class_Ominus(X1,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_23,plain,
    c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
    inference(spm,[status(thm)],[c_0_18,c_0_19]) ).

cnf(c_0_24,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22]),c_0_23])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SWV617-1 : TPTP v8.2.0. Released v4.1.0.
% 0.11/0.14  % Command    : run_E %s %d THM
% 0.14/0.35  % Computer : n008.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Sun May 19 09:26:08 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.21/0.52  Running first-order model finding
% 0.21/0.52  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
% 0.91/0.64  # Version: 3.1.0
% 0.91/0.64  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.91/0.64  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.91/0.64  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.91/0.64  # Starting new_bool_3 with 300s (1) cores
% 0.91/0.64  # Starting new_bool_1 with 300s (1) cores
% 0.91/0.64  # Starting sh5l with 300s (1) cores
% 0.91/0.64  # sh5l with pid 4725 completed with status 0
% 0.91/0.64  # Result found by sh5l
% 0.91/0.64  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.91/0.64  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.91/0.64  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.91/0.64  # Starting new_bool_3 with 300s (1) cores
% 0.91/0.64  # Starting new_bool_1 with 300s (1) cores
% 0.91/0.64  # Starting sh5l with 300s (1) cores
% 0.91/0.64  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.91/0.64  # Search class: FGHSF-FSLM32-MFFFFFNN
% 0.91/0.64  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.91/0.64  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 163s (1) cores
% 0.91/0.64  # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 4732 completed with status 0
% 0.91/0.64  # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.91/0.64  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.91/0.64  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.91/0.64  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.91/0.64  # Starting new_bool_3 with 300s (1) cores
% 0.91/0.64  # Starting new_bool_1 with 300s (1) cores
% 0.91/0.64  # Starting sh5l with 300s (1) cores
% 0.91/0.64  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.91/0.64  # Search class: FGHSF-FSLM32-MFFFFFNN
% 0.91/0.64  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.91/0.64  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 163s (1) cores
% 0.91/0.64  # Preprocessing time       : 0.010 s
% 0.91/0.64  # Presaturation interreduction done
% 0.91/0.64  
% 0.91/0.64  # Proof found!
% 0.91/0.64  # SZS status Unsatisfiable
% 0.91/0.64  # SZS output start CNFRefutation
% See solution above
% 0.91/0.64  # Parsed axioms                        : 766
% 0.91/0.64  # Removed by relevancy pruning/SinE    : 86
% 0.91/0.64  # Initial clauses                      : 680
% 0.91/0.64  # Removed in clause preprocessing      : 0
% 0.91/0.64  # Initial clauses in saturation        : 680
% 0.91/0.64  # Processed clauses                    : 832
% 0.91/0.64  # ...of these trivial                  : 2
% 0.91/0.64  # ...subsumed                          : 192
% 0.91/0.64  # ...remaining for further processing  : 638
% 0.91/0.64  # Other redundant clauses eliminated   : 0
% 0.91/0.64  # Clauses deleted for lack of memory   : 0
% 0.91/0.64  # Backward-subsumed                    : 0
% 0.91/0.64  # Backward-rewritten                   : 0
% 0.91/0.64  # Generated clauses                    : 78
% 0.91/0.64  # ...of the previous two non-redundant : 59
% 0.91/0.64  # ...aggressively subsumed             : 0
% 0.91/0.64  # Contextual simplify-reflections      : 0
% 0.91/0.64  # Paramodulations                      : 77
% 0.91/0.64  # Factorizations                       : 0
% 0.91/0.64  # NegExts                              : 0
% 0.91/0.64  # Equation resolutions                 : 1
% 0.91/0.64  # Disequality decompositions           : 0
% 0.91/0.64  # Total rewrite steps                  : 35
% 0.91/0.64  # ...of those cached                   : 11
% 0.91/0.64  # Propositional unsat checks           : 0
% 0.91/0.64  #    Propositional check models        : 0
% 0.91/0.64  #    Propositional check unsatisfiable : 0
% 0.91/0.64  #    Propositional clauses             : 0
% 0.91/0.64  #    Propositional clauses after purity: 0
% 0.91/0.64  #    Propositional unsat core size     : 0
% 0.91/0.64  #    Propositional preprocessing time  : 0.000
% 0.91/0.64  #    Propositional encoding time       : 0.000
% 0.91/0.64  #    Propositional solver time         : 0.000
% 0.91/0.64  #    Success case prop preproc time    : 0.000
% 0.91/0.64  #    Success case prop encoding time   : 0.000
% 0.91/0.64  #    Success case prop solver time     : 0.000
% 0.91/0.64  # Current number of processed clauses  : 138
% 0.91/0.64  #    Positive orientable unit clauses  : 74
% 0.91/0.64  #    Positive unorientable unit clauses: 0
% 0.91/0.64  #    Negative unit clauses             : 10
% 0.91/0.64  #    Non-unit-clauses                  : 54
% 0.91/0.64  # Current number of unprocessed clauses: 406
% 0.91/0.64  # ...number of literals in the above   : 1497
% 0.91/0.64  # Current number of archived formulas  : 0
% 0.91/0.64  # Current number of archived clauses   : 500
% 0.91/0.64  # Clause-clause subsumption calls (NU) : 32021
% 0.91/0.64  # Rec. Clause-clause subsumption calls : 7870
% 0.91/0.64  # Non-unit clause-clause subsumptions  : 178
% 0.91/0.64  # Unit Clause-clause subsumption calls : 52
% 0.91/0.64  # Rewrite failures with RHS unbound    : 0
% 0.91/0.64  # BW rewrite match attempts            : 23
% 0.91/0.64  # BW rewrite match successes           : 0
% 0.91/0.64  # Condensation attempts                : 0
% 0.91/0.64  # Condensation successes               : 0
% 0.91/0.64  # Termbank termtop insertions          : 34904
% 0.91/0.64  # Search garbage collected termcells   : 2026
% 0.91/0.64  
% 0.91/0.64  # -------------------------------------------------
% 0.91/0.64  # User time                : 0.077 s
% 0.91/0.64  # System time              : 0.011 s
% 0.91/0.64  # Total time               : 0.089 s
% 0.91/0.64  # Maximum resident set size: 3364 pages
% 0.91/0.64  
% 0.91/0.64  # -------------------------------------------------
% 0.91/0.64  # User time                : 0.101 s
% 0.91/0.64  # System time              : 0.015 s
% 0.91/0.64  # Total time               : 0.116 s
% 0.91/0.64  # Maximum resident set size: 2252 pages
% 0.91/0.64  % E---3.1 exiting
%------------------------------------------------------------------------------