TSTP Solution File: ALG406-1 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : ALG406-1 : TPTP v8.2.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n005.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 May 20 18:13:17 EDT 2024

% Result   : Unsatisfiable 2.12s 0.75s
% Output   : CNFRefutation 2.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   29 (  20 unt;   0 nHn;  24 RR)
%            Number of literals    :   50 (   2 equ;  25 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   4 con; 0-3 aty)
%            Number of variables   :   26 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
    ~ c_lessequals(c_HOL_Otimes__class_Otimes(v_t____,c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),tc_RealDef_Oreal),tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(cls_real__less__def_0,axiom,
    ( c_lessequals(X1,X2,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_real__less__def_0) ).

cnf(cls_minus__le__self__iff_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),X2,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_minus__le__self__iff_0) ).

cnf(cls_real__mult__1_0,axiom,
    c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) = X1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_real__mult__1_0) ).

cnf(cls_mult__left__le__one__le_0,axiom,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),X3,X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_lessequals(X2,c_HOL_Oone__class_Oone(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mult__left__le__one__le_0) ).

cnf(cls_t_I2_J_0,axiom,
    c_HOL_Oord__class_Oless(v_t____,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_t_I2_J_0) ).

cnf(cls_complex__mod__minus__le__complex__mod_0,axiom,
    c_lessequals(c_HOL_Ouminus__class_Ouminus(c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex),tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_complex__mod__minus__le__complex__mod_0) ).

cnf(clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add,axiom,
    class_OrderedGroup_Olordered__ab__group__add(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add) ).

cnf(cls_t_I1_J_0,axiom,
    c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_t____,tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_t_I1_J_0) ).

cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__idom,axiom,
    class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Oordered__idom) ).

cnf(c_0_10,negated_conjecture,
    ~ c_lessequals(c_HOL_Otimes__class_Otimes(v_t____,c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(fof_simplification,[status(thm)],[cls_conjecture_0]) ).

cnf(c_0_11,plain,
    ( c_lessequals(X1,X2,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[cls_real__less__def_0]) ).

cnf(c_0_12,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),X2,X1) ),
    inference(fof_simplification,[status(thm)],[cls_minus__le__self__iff_0]) ).

cnf(c_0_13,negated_conjecture,
    ~ c_lessequals(c_HOL_Otimes__class_Otimes(v_t____,c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),tc_RealDef_Oreal),tc_RealDef_Oreal),
    c_0_10 ).

cnf(c_0_14,axiom,
    c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) = X1,
    cls_real__mult__1_0 ).

cnf(c_0_15,plain,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),X3,X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_lessequals(X2,c_HOL_Oone__class_Oone(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1) ),
    inference(fof_simplification,[status(thm)],[cls_mult__left__le__one__le_0]) ).

cnf(c_0_16,plain,
    ( c_lessequals(X1,X2,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
    c_0_11 ).

cnf(c_0_17,axiom,
    c_HOL_Oord__class_Oless(v_t____,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),
    cls_t_I2_J_0 ).

cnf(c_0_18,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),X2,X1) ),
    c_0_12 ).

cnf(c_0_19,axiom,
    c_lessequals(c_HOL_Ouminus__class_Ouminus(c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex),tc_RealDef_Oreal),
    cls_complex__mod__minus__le__complex__mod_0 ).

cnf(c_0_20,axiom,
    class_OrderedGroup_Olordered__ab__group__add(tc_RealDef_Oreal),
    clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add ).

cnf(c_0_21,axiom,
    c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_t____,tc_RealDef_Oreal),
    cls_t_I1_J_0 ).

cnf(c_0_22,negated_conjecture,
    ~ c_lessequals(c_HOL_Otimes__class_Otimes(v_t____,c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),tc_RealDef_Oreal),
    inference(rw,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_23,plain,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),X3,X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_lessequals(X2,c_HOL_Oone__class_Oone(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1) ),
    c_0_15 ).

cnf(c_0_24,axiom,
    class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal),
    clsarity_RealDef__Oreal__Ring__and__Field_Oordered__idom ).

cnf(c_0_25,plain,
    c_lessequals(v_t____,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_26,plain,
    c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex),tc_RealDef_Oreal),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20])]) ).

cnf(c_0_27,plain,
    c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_t____,tc_RealDef_Oreal),
    inference(spm,[status(thm)],[c_0_16,c_0_21]) ).

cnf(c_0_28,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]),c_0_25]),c_0_26]),c_0_27])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : ALG406-1 : TPTP v8.2.0. Released v4.1.0.
% 0.07/0.14  % Command    : run_E %s %d THM
% 0.15/0.35  % Computer : n005.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Sat May 18 22:39:38 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.21/0.48  Running first-order model finding
% 0.21/0.48  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
% 2.12/0.74  # Version: 3.1.0
% 2.12/0.74  # Preprocessing class: FSLSSMSSSSSNFFN.
% 2.12/0.74  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.12/0.74  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 2.12/0.74  # Starting new_bool_3 with 300s (1) cores
% 2.12/0.74  # Starting new_bool_1 with 300s (1) cores
% 2.12/0.74  # Starting sh5l with 300s (1) cores
% 2.12/0.74  # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 8013 completed with status 0
% 2.12/0.74  # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 2.12/0.74  # Preprocessing class: FSLSSMSSSSSNFFN.
% 2.12/0.74  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.12/0.74  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 2.12/0.74  # No SInE strategy applied
% 2.12/0.74  # Search class: FGHSM-FSLM31-MFFFFFNN
% 2.12/0.74  # Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 2.12/0.74  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 675s (1) cores
% 2.12/0.74  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 2.12/0.74  # Starting G-E--_207_B07_F1_AE_CS_SP_PI_PS_S0Y with 136s (1) cores
% 2.12/0.74  # Starting U----_116Y_C05_02_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 2.12/0.75  # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 136s (1) cores
% 2.12/0.75  # U----_116Y_C05_02_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with pid 8023 completed with status 0
% 2.12/0.75  # Result found by U----_116Y_C05_02_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN
% 2.12/0.75  # Preprocessing class: FSLSSMSSSSSNFFN.
% 2.12/0.75  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.12/0.75  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 2.12/0.75  # No SInE strategy applied
% 2.12/0.75  # Search class: FGHSM-FSLM31-MFFFFFNN
% 2.12/0.75  # Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 2.12/0.75  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 675s (1) cores
% 2.12/0.75  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 2.12/0.75  # Starting G-E--_207_B07_F1_AE_CS_SP_PI_PS_S0Y with 136s (1) cores
% 2.12/0.75  # Starting U----_116Y_C05_02_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 2.12/0.75  # Preprocessing time       : 0.007 s
% 2.12/0.75  # Presaturation interreduction done
% 2.12/0.75  
% 2.12/0.75  # Proof found!
% 2.12/0.75  # SZS status Unsatisfiable
% 2.12/0.75  # SZS output start CNFRefutation
% See solution above
% 2.12/0.75  # Parsed axioms                        : 678
% 2.12/0.75  # Removed by relevancy pruning/SinE    : 0
% 2.12/0.75  # Initial clauses                      : 678
% 2.12/0.75  # Removed in clause preprocessing      : 0
% 2.12/0.75  # Initial clauses in saturation        : 678
% 2.12/0.75  # Processed clauses                    : 1470
% 2.12/0.75  # ...of these trivial                  : 44
% 2.12/0.75  # ...subsumed                          : 179
% 2.12/0.75  # ...remaining for further processing  : 1247
% 2.12/0.75  # Other redundant clauses eliminated   : 106
% 2.12/0.75  # Clauses deleted for lack of memory   : 0
% 2.12/0.75  # Backward-subsumed                    : 1
% 2.12/0.75  # Backward-rewritten                   : 1
% 2.12/0.75  # Generated clauses                    : 18066
% 2.12/0.75  # ...of the previous two non-redundant : 16202
% 2.12/0.75  # ...aggressively subsumed             : 0
% 2.12/0.75  # Contextual simplify-reflections      : 0
% 2.12/0.75  # Paramodulations                      : 17944
% 2.12/0.75  # Factorizations                       : 4
% 2.12/0.75  # NegExts                              : 0
% 2.12/0.75  # Equation resolutions                 : 118
% 2.12/0.75  # Disequality decompositions           : 0
% 2.12/0.75  # Total rewrite steps                  : 6376
% 2.12/0.75  # ...of those cached                   : 6089
% 2.12/0.75  # Propositional unsat checks           : 0
% 2.12/0.75  #    Propositional check models        : 0
% 2.12/0.75  #    Propositional check unsatisfiable : 0
% 2.12/0.75  #    Propositional clauses             : 0
% 2.12/0.75  #    Propositional clauses after purity: 0
% 2.12/0.75  #    Propositional unsat core size     : 0
% 2.12/0.75  #    Propositional preprocessing time  : 0.000
% 2.12/0.75  #    Propositional encoding time       : 0.000
% 2.12/0.75  #    Propositional solver time         : 0.000
% 2.12/0.75  #    Success case prop preproc time    : 0.000
% 2.12/0.75  #    Success case prop encoding time   : 0.000
% 2.12/0.75  #    Success case prop solver time     : 0.000
% 2.12/0.75  # Current number of processed clauses  : 637
% 2.12/0.75  #    Positive orientable unit clauses  : 173
% 2.12/0.75  #    Positive unorientable unit clauses: 1
% 2.12/0.75  #    Negative unit clauses             : 14
% 2.12/0.75  #    Non-unit-clauses                  : 449
% 2.12/0.75  # Current number of unprocessed clauses: 16001
% 2.12/0.75  # ...number of literals in the above   : 59232
% 2.12/0.75  # Current number of archived formulas  : 0
% 2.12/0.75  # Current number of archived clauses   : 610
% 2.12/0.75  # Clause-clause subsumption calls (NU) : 36616
% 2.12/0.75  # Rec. Clause-clause subsumption calls : 21005
% 2.12/0.75  # Non-unit clause-clause subsumptions  : 93
% 2.12/0.75  # Unit Clause-clause subsumption calls : 412
% 2.12/0.75  # Rewrite failures with RHS unbound    : 0
% 2.12/0.75  # BW rewrite match attempts            : 132
% 2.12/0.75  # BW rewrite match successes           : 15
% 2.12/0.75  # Condensation attempts                : 0
% 2.12/0.75  # Condensation successes               : 0
% 2.12/0.75  # Termbank termtop insertions          : 271137
% 2.12/0.75  # Search garbage collected termcells   : 1264
% 2.12/0.75  
% 2.12/0.75  # -------------------------------------------------
% 2.12/0.75  # User time                : 0.220 s
% 2.12/0.75  # System time              : 0.014 s
% 2.12/0.75  # Total time               : 0.234 s
% 2.12/0.75  # Maximum resident set size: 2996 pages
% 2.12/0.75  
% 2.12/0.75  # -------------------------------------------------
% 2.12/0.75  # User time                : 1.074 s
% 2.12/0.75  # System time              : 0.061 s
% 2.12/0.75  # Total time               : 1.135 s
% 2.12/0.75  # Maximum resident set size: 2136 pages
% 2.12/0.75  % E---3.1 exiting
%------------------------------------------------------------------------------