TSTP Solution File: ALG383-1 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : ALG383-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n010.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 07:23:47 EDT 2024

% Result   : Unsatisfiable 0.41s 0.83s
% Output   : CNFRefutation 0.41s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of clauses     :   12 (   8 unt;   0 nHn;  12 RR)
%            Number of literals    :   19 (   0 equ;  10 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;   7 con; 0-3 aty)
%            Number of variables   :   10 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_real__le__trans_0,axiom,
    ( c_lessequals(X1,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(X3,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(X1,X3,tc_RealDef_Oreal) ),
    file('/export/starexec/sandbox/tmp/tmp.wqAKiGLH0i/E---3.1_14972.p',cls_real__le__trans_0) ).

cnf(cls_th2_0,axiom,
    c_lessequals(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(v_z____,c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(v_aa____,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_aa____,c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),
    file('/export/starexec/sandbox/tmp/tmp.wqAKiGLH0i/E---3.1_14972.p',cls_th2_0) ).

cnf(cls_conjecture_0,negated_conjecture,
    ~ c_lessequals(v_da____,c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_aa____,c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),
    file('/export/starexec/sandbox/tmp/tmp.wqAKiGLH0i/E---3.1_14972.p',cls_conjecture_0) ).

cnf(cls_th1_0,axiom,
    c_lessequals(v_da____,c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(v_z____,c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(v_aa____,tc_Complex_Ocomplex),tc_RealDef_Oreal),tc_RealDef_Oreal),
    file('/export/starexec/sandbox/tmp/tmp.wqAKiGLH0i/E---3.1_14972.p',cls_th1_0) ).

cnf(c_0_4,plain,
    ( c_lessequals(X1,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(X3,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(X1,X3,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[cls_real__le__trans_0]) ).

cnf(c_0_5,plain,
    ( c_lessequals(X1,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(X3,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(X1,X3,tc_RealDef_Oreal) ),
    c_0_4 ).

cnf(c_0_6,axiom,
    c_lessequals(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(v_z____,c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(v_aa____,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_aa____,c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),
    cls_th2_0 ).

cnf(c_0_7,negated_conjecture,
    ~ c_lessequals(v_da____,c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_aa____,c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),
    inference(fof_simplification,[status(thm)],[cls_conjecture_0]) ).

cnf(c_0_8,plain,
    ( c_lessequals(X1,c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_aa____,c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
    | ~ c_lessequals(X1,c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(v_z____,c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(v_aa____,tc_Complex_Ocomplex),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(spm,[status(thm)],[c_0_5,c_0_6]) ).

cnf(c_0_9,axiom,
    c_lessequals(v_da____,c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(v_z____,c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(v_aa____,tc_Complex_Ocomplex),tc_RealDef_Oreal),tc_RealDef_Oreal),
    cls_th1_0 ).

cnf(c_0_10,negated_conjecture,
    ~ c_lessequals(v_da____,c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_aa____,c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),
    c_0_7 ).

cnf(c_0_11,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : ALG383-1 : TPTP v8.1.2. Released v4.1.0.
% 0.12/0.13  % Command    : run_E %s %d THM
% 0.13/0.34  % Computer : n010.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Fri May  3 13:46:18 EDT 2024
% 0.19/0.34  % CPUTime    : 
% 0.19/0.54  Running first-order model finding
% 0.19/0.54  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.wqAKiGLH0i/E---3.1_14972.p
% 0.41/0.83  # Version: 3.1.0
% 0.41/0.83  # Preprocessing class: FSLMSMSMSSSNFFN.
% 0.41/0.83  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.41/0.83  # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.41/0.83  # Starting new_bool_3 with 600s (2) cores
% 0.41/0.83  # Starting new_bool_1 with 300s (1) cores
% 0.41/0.83  # Starting sh5l with 300s (1) cores
% 0.41/0.83  # sh5l with pid 15052 completed with status 0
% 0.41/0.83  # Result found by sh5l
% 0.41/0.83  # Preprocessing class: FSLMSMSMSSSNFFN.
% 0.41/0.83  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.41/0.83  # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.41/0.83  # Starting new_bool_3 with 600s (2) cores
% 0.41/0.83  # Starting new_bool_1 with 300s (1) cores
% 0.41/0.83  # Starting sh5l with 300s (1) cores
% 0.41/0.83  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.41/0.83  # Search class: FGHSM-FSLM32-MFFFFFNN
% 0.41/0.83  # Scheduled 12 strats onto 1 cores with 300 seconds (300 total)
% 0.41/0.83  # Starting G-E--_303_C18_F1_URBAN_S0Y with 25s (1) cores
% 0.41/0.83  # G-E--_303_C18_F1_URBAN_S0Y with pid 15060 completed with status 0
% 0.41/0.83  # Result found by G-E--_303_C18_F1_URBAN_S0Y
% 0.41/0.83  # Preprocessing class: FSLMSMSMSSSNFFN.
% 0.41/0.83  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.41/0.83  # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.41/0.83  # Starting new_bool_3 with 600s (2) cores
% 0.41/0.83  # Starting new_bool_1 with 300s (1) cores
% 0.41/0.83  # Starting sh5l with 300s (1) cores
% 0.41/0.83  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.41/0.83  # Search class: FGHSM-FSLM32-MFFFFFNN
% 0.41/0.83  # Scheduled 12 strats onto 1 cores with 300 seconds (300 total)
% 0.41/0.83  # Starting G-E--_303_C18_F1_URBAN_S0Y with 25s (1) cores
% 0.41/0.83  # Preprocessing time       : 0.033 s
% 0.41/0.83  
% 0.41/0.83  # Proof found!
% 0.41/0.83  # SZS status Unsatisfiable
% 0.41/0.83  # SZS output start CNFRefutation
% See solution above
% 0.41/0.83  # Parsed axioms                        : 987
% 0.41/0.83  # Removed by relevancy pruning/SinE    : 162
% 0.41/0.83  # Initial clauses                      : 825
% 0.41/0.83  # Removed in clause preprocessing      : 0
% 0.41/0.83  # Initial clauses in saturation        : 825
% 0.41/0.83  # Processed clauses                    : 1116
% 0.41/0.83  # ...of these trivial                  : 16
% 0.41/0.83  # ...subsumed                          : 276
% 0.41/0.83  # ...remaining for further processing  : 824
% 0.41/0.83  # Other redundant clauses eliminated   : 3
% 0.41/0.83  # Clauses deleted for lack of memory   : 0
% 0.41/0.83  # Backward-subsumed                    : 1
% 0.41/0.83  # Backward-rewritten                   : 5
% 0.41/0.83  # Generated clauses                    : 9492
% 0.41/0.83  # ...of the previous two non-redundant : 8902
% 0.41/0.83  # ...aggressively subsumed             : 0
% 0.41/0.83  # Contextual simplify-reflections      : 0
% 0.41/0.83  # Paramodulations                      : 9475
% 0.41/0.83  # Factorizations                       : 6
% 0.41/0.83  # NegExts                              : 0
% 0.41/0.83  # Equation resolutions                 : 11
% 0.41/0.83  # Disequality decompositions           : 0
% 0.41/0.83  # Total rewrite steps                  : 4542
% 0.41/0.83  # ...of those cached                   : 4306
% 0.41/0.83  # Propositional unsat checks           : 0
% 0.41/0.83  #    Propositional check models        : 0
% 0.41/0.83  #    Propositional check unsatisfiable : 0
% 0.41/0.83  #    Propositional clauses             : 0
% 0.41/0.83  #    Propositional clauses after purity: 0
% 0.41/0.83  #    Propositional unsat core size     : 0
% 0.41/0.83  #    Propositional preprocessing time  : 0.000
% 0.41/0.83  #    Propositional encoding time       : 0.000
% 0.41/0.83  #    Propositional solver time         : 0.000
% 0.41/0.83  #    Success case prop preproc time    : 0.000
% 0.41/0.83  #    Success case prop encoding time   : 0.000
% 0.41/0.83  #    Success case prop solver time     : 0.000
% 0.41/0.83  # Current number of processed clauses  : 818
% 0.41/0.83  #    Positive orientable unit clauses  : 150
% 0.41/0.83  #    Positive unorientable unit clauses: 2
% 0.41/0.83  #    Negative unit clauses             : 33
% 0.41/0.83  #    Non-unit-clauses                  : 633
% 0.41/0.83  # Current number of unprocessed clauses: 8597
% 0.41/0.83  # ...number of literals in the above   : 24803
% 0.41/0.83  # Current number of archived formulas  : 0
% 0.41/0.83  # Current number of archived clauses   : 6
% 0.41/0.83  # Clause-clause subsumption calls (NU) : 50133
% 0.41/0.83  # Rec. Clause-clause subsumption calls : 30816
% 0.41/0.83  # Non-unit clause-clause subsumptions  : 164
% 0.41/0.83  # Unit Clause-clause subsumption calls : 790
% 0.41/0.83  # Rewrite failures with RHS unbound    : 0
% 0.41/0.83  # BW rewrite match attempts            : 327
% 0.41/0.83  # BW rewrite match successes           : 37
% 0.41/0.83  # Condensation attempts                : 0
% 0.41/0.83  # Condensation successes               : 0
% 0.41/0.83  # Termbank termtop insertions          : 174883
% 0.41/0.83  # Search garbage collected termcells   : 1947
% 0.41/0.83  
% 0.41/0.83  # -------------------------------------------------
% 0.41/0.83  # User time                : 0.230 s
% 0.41/0.83  # System time              : 0.014 s
% 0.41/0.83  # Total time               : 0.244 s
% 0.41/0.83  # Maximum resident set size: 3564 pages
% 0.41/0.83  
% 0.41/0.83  # -------------------------------------------------
% 0.41/0.83  # User time                : 0.254 s
% 0.41/0.83  # System time              : 0.015 s
% 0.41/0.83  # Total time               : 0.270 s
% 0.41/0.83  # Maximum resident set size: 2368 pages
% 0.41/0.83  % E---3.1 exiting
%------------------------------------------------------------------------------