TSTP Solution File: ALG382-1 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : ALG382-1 : TPTP v8.2.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n018.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 18:13:13 EDT 2024

% Result   : Unsatisfiable 0.19s 0.51s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    3
% Syntax   : Number of clauses     :    8 (   8 unt;   0 nHn;   6 RR)
%            Number of literals    :    8 (   2 equ;   3 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   13 (  13 usr;   7 con; 0-3 aty)
%            Number of variables   :    2 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
    ~ c_lessequals(c_HOL_Oplus__class_Oplus(v_da____,c_RealVector_Onorm__class_Onorm(v_aa____,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_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/sandbox2/benchmark/theBenchmark.p',cls_real__mult__1_0) ).

cnf(cls_CHAINED_0,axiom,
    c_lessequals(c_HOL_Oplus__class_Oplus(v_da____,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_c____,v_cs____,tc_Complex_Ocomplex),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0) ).

cnf(c_0_3,negated_conjecture,
    ~ c_lessequals(c_HOL_Oplus__class_Oplus(v_da____,c_RealVector_Onorm__class_Onorm(v_aa____,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(fof_simplification,[status(thm)],[cls_conjecture_0]) ).

cnf(c_0_4,negated_conjecture,
    ~ c_lessequals(c_HOL_Oplus__class_Oplus(v_da____,c_RealVector_Onorm__class_Onorm(v_aa____,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),tc_RealDef_Oreal),
    c_0_3 ).

cnf(c_0_5,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_6,axiom,
    c_lessequals(c_HOL_Oplus__class_Oplus(v_da____,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_c____,v_cs____,tc_Complex_Ocomplex),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),
    cls_CHAINED_0 ).

cnf(c_0_7,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_4,c_0_5]),c_0_6])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : ALG382-1 : TPTP v8.2.0. Released v4.1.0.
% 0.03/0.13  % Command    : run_E %s %d THM
% 0.12/0.34  % Computer : n018.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Sat May 18 23:39:23 EDT 2024
% 0.12/0.34  % CPUTime    : 
% 0.19/0.47  Running first-order model finding
% 0.19/0.47  Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 0.19/0.51  # Version: 3.1.0
% 0.19/0.51  # Preprocessing class: FSLMSMSMSSSNFFN.
% 0.19/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.51  # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.19/0.51  # Starting new_bool_3 with 600s (2) cores
% 0.19/0.51  # Starting new_bool_1 with 300s (1) cores
% 0.19/0.51  # Starting sh5l with 300s (1) cores
% 0.19/0.51  # G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with pid 31836 completed with status 0
% 0.19/0.51  # Result found by G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S
% 0.19/0.51  # Preprocessing class: FSLMSMSMSSSNFFN.
% 0.19/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.51  # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.19/0.51  # No SInE strategy applied
% 0.19/0.51  # Search class: FGHSM-FSLM32-MFFFFFNN
% 0.19/0.51  # Scheduled 11 strats onto 4 cores with 1200 seconds (1200 total)
% 0.19/0.51  # Starting G-E--_303_C18_F1_URBAN_S0Y with 110s (1) cores
% 0.19/0.51  # Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y with 110s (1) cores
% 0.19/0.51  # Starting U----_100_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_ND_S04AN with 110s (1) cores
% 0.19/0.51  # Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_S032N with 110s (1) cores
% 0.19/0.51  # G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_S032N with pid 31843 completed with status 0
% 0.19/0.51  # Result found by G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_S032N
% 0.19/0.51  # Preprocessing class: FSLMSMSMSSSNFFN.
% 0.19/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.51  # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.19/0.51  # No SInE strategy applied
% 0.19/0.51  # Search class: FGHSM-FSLM32-MFFFFFNN
% 0.19/0.51  # Scheduled 11 strats onto 4 cores with 1200 seconds (1200 total)
% 0.19/0.51  # Starting G-E--_303_C18_F1_URBAN_S0Y with 110s (1) cores
% 0.19/0.51  # Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y with 110s (1) cores
% 0.19/0.51  # Starting U----_100_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_ND_S04AN with 110s (1) cores
% 0.19/0.51  # Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_S032N with 110s (1) cores
% 0.19/0.51  # Preprocessing time       : 0.007 s
% 0.19/0.51  # Presaturation interreduction done
% 0.19/0.51  
% 0.19/0.51  # Proof found!
% 0.19/0.51  # SZS status Unsatisfiable
% 0.19/0.51  # SZS output start CNFRefutation
% See solution above
% 0.19/0.51  # Parsed axioms                        : 992
% 0.19/0.51  # Removed by relevancy pruning/SinE    : 0
% 0.19/0.51  # Initial clauses                      : 992
% 0.19/0.51  # Removed in clause preprocessing      : 0
% 0.19/0.51  # Initial clauses in saturation        : 992
% 0.19/0.51  # Processed clauses                    : 115
% 0.19/0.51  # ...of these trivial                  : 0
% 0.19/0.51  # ...subsumed                          : 1
% 0.19/0.51  # ...remaining for further processing  : 114
% 0.19/0.51  # Other redundant clauses eliminated   : 0
% 0.19/0.51  # Clauses deleted for lack of memory   : 0
% 0.19/0.51  # Backward-subsumed                    : 0
% 0.19/0.51  # Backward-rewritten                   : 2
% 0.19/0.51  # Generated clauses                    : 0
% 0.19/0.51  # ...of the previous two non-redundant : 0
% 0.19/0.51  # ...aggressively subsumed             : 0
% 0.19/0.51  # Contextual simplify-reflections      : 0
% 0.19/0.51  # Paramodulations                      : 0
% 0.19/0.51  # Factorizations                       : 0
% 0.19/0.51  # NegExts                              : 0
% 0.19/0.51  # Equation resolutions                 : 0
% 0.19/0.51  # Disequality decompositions           : 0
% 0.19/0.51  # Total rewrite steps                  : 2
% 0.19/0.51  # ...of those cached                   : 0
% 0.19/0.51  # Propositional unsat checks           : 0
% 0.19/0.51  #    Propositional check models        : 0
% 0.19/0.51  #    Propositional check unsatisfiable : 0
% 0.19/0.51  #    Propositional clauses             : 0
% 0.19/0.51  #    Propositional clauses after purity: 0
% 0.19/0.51  #    Propositional unsat core size     : 0
% 0.19/0.51  #    Propositional preprocessing time  : 0.000
% 0.19/0.51  #    Propositional encoding time       : 0.000
% 0.19/0.51  #    Propositional solver time         : 0.000
% 0.19/0.51  #    Success case prop preproc time    : 0.000
% 0.19/0.51  #    Success case prop encoding time   : 0.000
% 0.19/0.51  #    Success case prop solver time     : 0.000
% 0.19/0.51  # Current number of processed clauses  : 112
% 0.19/0.51  #    Positive orientable unit clauses  : 104
% 0.19/0.51  #    Positive unorientable unit clauses: 0
% 0.19/0.51  #    Negative unit clauses             : 4
% 0.19/0.51  #    Non-unit-clauses                  : 4
% 0.19/0.51  # Current number of unprocessed clauses: 877
% 0.19/0.51  # ...number of literals in the above   : 2733
% 0.19/0.51  # Current number of archived formulas  : 0
% 0.19/0.51  # Current number of archived clauses   : 2
% 0.19/0.51  # Clause-clause subsumption calls (NU) : 7
% 0.19/0.51  # Rec. Clause-clause subsumption calls : 7
% 0.19/0.51  # Non-unit clause-clause subsumptions  : 1
% 0.19/0.51  # Unit Clause-clause subsumption calls : 1
% 0.19/0.51  # Rewrite failures with RHS unbound    : 0
% 0.19/0.51  # BW rewrite match attempts            : 2
% 0.19/0.51  # BW rewrite match successes           : 2
% 0.19/0.51  # Condensation attempts                : 0
% 0.19/0.51  # Condensation successes               : 0
% 0.19/0.51  # Termbank termtop insertions          : 29094
% 0.19/0.51  # Search garbage collected termcells   : 2010
% 0.19/0.51  
% 0.19/0.51  # -------------------------------------------------
% 0.19/0.51  # User time                : 0.015 s
% 0.19/0.51  # System time              : 0.007 s
% 0.19/0.51  # Total time               : 0.022 s
% 0.19/0.51  # Maximum resident set size: 3708 pages
% 0.19/0.51  
% 0.19/0.51  # -------------------------------------------------
% 0.19/0.51  # User time                : 0.058 s
% 0.19/0.51  # System time              : 0.014 s
% 0.19/0.51  # Total time               : 0.072 s
% 0.19/0.51  # Maximum resident set size: 2384 pages
% 0.19/0.51  % E---3.1 exiting
%------------------------------------------------------------------------------