TSTP Solution File: ALG386-1 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : ALG386-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n006.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 : Sat May  4 07:23:48 EDT 2024

% Result   : Unsatisfiable 0.38s 0.63s
% Output   : CNFRefutation 0.38s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    4
% Syntax   : Number of clauses     :   15 (   7 unt;   2 nHn;  12 RR)
%            Number of literals    :   23 (   0 equ;  11 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    3 (   2 usr;   2 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   4 con; 0-3 aty)
%            Number of variables   :   11 (   5 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_conjecture_2,negated_conjecture,
    ( v_thesis____
    | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_x(X1),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
    file('/export/starexec/sandbox/tmp/tmp.qqupPahBry/E---3.1_25371.p',cls_conjecture_2) ).

cnf(cls_conjecture_0,negated_conjecture,
    ~ v_thesis____,
    file('/export/starexec/sandbox/tmp/tmp.qqupPahBry/E---3.1_25371.p',cls_conjecture_0) ).

cnf(cls_CHAINED_0,axiom,
    ( c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
    | ~ c_lessequals(v_sko__CHAINED__1(v_c____,v_cs____),c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
    file('/export/starexec/sandbox/tmp/tmp.qqupPahBry/E---3.1_25371.p',cls_CHAINED_0) ).

cnf(cls_conjecture_1,negated_conjecture,
    ( v_thesis____
    | c_lessequals(X1,c_RealVector_Onorm__class_Onorm(v_x(X1),tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
    file('/export/starexec/sandbox/tmp/tmp.qqupPahBry/E---3.1_25371.p',cls_conjecture_1) ).

cnf(c_0_4,negated_conjecture,
    ( v_thesis____
    | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_x(X1),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[cls_conjecture_2]) ).

cnf(c_0_5,negated_conjecture,
    ~ v_thesis____,
    inference(fof_simplification,[status(thm)],[cls_conjecture_0]) ).

cnf(c_0_6,negated_conjecture,
    ( v_thesis____
    | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_x(X1),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
    c_0_4 ).

cnf(c_0_7,negated_conjecture,
    ~ v_thesis____,
    c_0_5 ).

cnf(c_0_8,plain,
    ( c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
    | ~ c_lessequals(v_sko__CHAINED__1(v_c____,v_cs____),c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[cls_CHAINED_0]) ).

cnf(c_0_9,negated_conjecture,
    ~ c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_x(X1),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),
    inference(sr,[status(thm)],[c_0_6,c_0_7]) ).

cnf(c_0_10,plain,
    ( c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
    | ~ c_lessequals(v_sko__CHAINED__1(v_c____,v_cs____),c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
    c_0_8 ).

cnf(c_0_11,negated_conjecture,
    ( v_thesis____
    | c_lessequals(X1,c_RealVector_Onorm__class_Onorm(v_x(X1),tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
    cls_conjecture_1 ).

cnf(c_0_12,negated_conjecture,
    ~ c_lessequals(v_sko__CHAINED__1(v_c____,v_cs____),c_RealVector_Onorm__class_Onorm(v_x(X1),tc_Complex_Ocomplex),tc_RealDef_Oreal),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_13,negated_conjecture,
    c_lessequals(X1,c_RealVector_Onorm__class_Onorm(v_x(X1),tc_Complex_Ocomplex),tc_RealDef_Oreal),
    inference(sr,[status(thm)],[c_0_11,c_0_7]) ).

cnf(c_0_14,negated_conjecture,
    $false,
    inference(spm,[status(thm)],[c_0_12,c_0_13]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : ALG386-1 : TPTP v8.1.2. Released v4.1.0.
% 0.13/0.14  % Command    : run_E %s %d THM
% 0.13/0.35  % Computer : n006.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Fri May  3 13:47:04 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.20/0.52  Running first-order model finding
% 0.20/0.52  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/tmp/tmp.qqupPahBry/E---3.1_25371.p
% 0.38/0.63  # Version: 3.1.0
% 0.38/0.63  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.38/0.63  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.38/0.63  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.38/0.63  # Starting new_bool_3 with 300s (1) cores
% 0.38/0.63  # Starting new_bool_1 with 300s (1) cores
% 0.38/0.63  # Starting sh5l with 300s (1) cores
% 0.38/0.63  # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 25516 completed with status 0
% 0.38/0.63  # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.38/0.63  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.38/0.63  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.38/0.63  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.38/0.63  # No SInE strategy applied
% 0.38/0.63  # Search class: FGHSM-FSLM32-MFFFFFNN
% 0.38/0.63  # Scheduled 12 strats onto 5 cores with 1500 seconds (1500 total)
% 0.38/0.63  # Starting G-E--_303_C18_F1_URBAN_S0Y with 123s (1) cores
% 0.38/0.63  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.38/0.63  # Starting U----_100_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_ND_S04AN with 123s (1) cores
% 0.38/0.63  # Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_S032N with 123s (1) cores
% 0.38/0.63  # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S0i with 123s (1) cores
% 0.38/0.63  # U----_100_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_ND_S04AN with pid 25526 completed with status 0
% 0.38/0.63  # Result found by U----_100_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_ND_S04AN
% 0.38/0.63  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.38/0.63  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.38/0.63  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.38/0.63  # No SInE strategy applied
% 0.38/0.63  # Search class: FGHSM-FSLM32-MFFFFFNN
% 0.38/0.63  # Scheduled 12 strats onto 5 cores with 1500 seconds (1500 total)
% 0.38/0.63  # Starting G-E--_303_C18_F1_URBAN_S0Y with 123s (1) cores
% 0.38/0.63  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.38/0.63  # Starting U----_100_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_ND_S04AN with 123s (1) cores
% 0.38/0.63  # Preprocessing time       : 0.008 s
% 0.38/0.63  # Presaturation interreduction done
% 0.38/0.63  
% 0.38/0.63  # Proof found!
% 0.38/0.63  # SZS status Unsatisfiable
% 0.38/0.63  # SZS output start CNFRefutation
% See solution above
% 0.38/0.63  # Parsed axioms                        : 594
% 0.38/0.63  # Removed by relevancy pruning/SinE    : 0
% 0.38/0.63  # Initial clauses                      : 594
% 0.38/0.63  # Removed in clause preprocessing      : 0
% 0.38/0.63  # Initial clauses in saturation        : 594
% 0.38/0.63  # Processed clauses                    : 796
% 0.38/0.63  # ...of these trivial                  : 1
% 0.38/0.63  # ...subsumed                          : 55
% 0.38/0.63  # ...remaining for further processing  : 740
% 0.38/0.63  # Other redundant clauses eliminated   : 0
% 0.38/0.63  # Clauses deleted for lack of memory   : 0
% 0.38/0.63  # Backward-subsumed                    : 1
% 0.38/0.63  # Backward-rewritten                   : 1
% 0.38/0.63  # Generated clauses                    : 28
% 0.38/0.63  # ...of the previous two non-redundant : 15
% 0.38/0.63  # ...aggressively subsumed             : 0
% 0.38/0.63  # Contextual simplify-reflections      : 0
% 0.38/0.63  # Paramodulations                      : 28
% 0.38/0.63  # Factorizations                       : 0
% 0.38/0.63  # NegExts                              : 0
% 0.38/0.63  # Equation resolutions                 : 0
% 0.38/0.63  # Disequality decompositions           : 0
% 0.38/0.63  # Total rewrite steps                  : 24
% 0.38/0.63  # ...of those cached                   : 12
% 0.38/0.63  # Propositional unsat checks           : 0
% 0.38/0.63  #    Propositional check models        : 0
% 0.38/0.63  #    Propositional check unsatisfiable : 0
% 0.38/0.63  #    Propositional clauses             : 0
% 0.38/0.63  #    Propositional clauses after purity: 0
% 0.38/0.63  #    Propositional unsat core size     : 0
% 0.38/0.63  #    Propositional preprocessing time  : 0.000
% 0.38/0.63  #    Propositional encoding time       : 0.000
% 0.38/0.63  #    Propositional solver time         : 0.000
% 0.38/0.63  #    Success case prop preproc time    : 0.000
% 0.38/0.63  #    Success case prop encoding time   : 0.000
% 0.38/0.63  #    Success case prop solver time     : 0.000
% 0.38/0.63  # Current number of processed clauses  : 200
% 0.38/0.63  #    Positive orientable unit clauses  : 139
% 0.38/0.63  #    Positive unorientable unit clauses: 1
% 0.38/0.63  #    Negative unit clauses             : 5
% 0.38/0.63  #    Non-unit-clauses                  : 55
% 0.38/0.63  # Current number of unprocessed clauses: 351
% 0.38/0.63  # ...number of literals in the above   : 1030
% 0.38/0.63  # Current number of archived formulas  : 0
% 0.38/0.63  # Current number of archived clauses   : 540
% 0.38/0.63  # Clause-clause subsumption calls (NU) : 36628
% 0.38/0.63  # Rec. Clause-clause subsumption calls : 21212
% 0.38/0.63  # Non-unit clause-clause subsumptions  : 56
% 0.38/0.63  # Unit Clause-clause subsumption calls : 5
% 0.38/0.63  # Rewrite failures with RHS unbound    : 0
% 0.38/0.63  # BW rewrite match attempts            : 23
% 0.38/0.63  # BW rewrite match successes           : 11
% 0.38/0.63  # Condensation attempts                : 0
% 0.38/0.63  # Condensation successes               : 0
% 0.38/0.63  # Termbank termtop insertions          : 20376
% 0.38/0.63  # Search garbage collected termcells   : 987
% 0.38/0.63  
% 0.38/0.63  # -------------------------------------------------
% 0.38/0.63  # User time                : 0.065 s
% 0.38/0.63  # System time              : 0.009 s
% 0.38/0.63  # Total time               : 0.074 s
% 0.38/0.63  # Maximum resident set size: 2856 pages
% 0.38/0.63  
% 0.38/0.63  # -------------------------------------------------
% 0.38/0.63  # User time                : 0.315 s
% 0.38/0.63  # System time              : 0.032 s
% 0.38/0.63  # Total time               : 0.347 s
% 0.38/0.63  # Maximum resident set size: 2112 pages
% 0.38/0.63  % E---3.1 exiting
%------------------------------------------------------------------------------