TSTP Solution File: ANA007-1 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : ANA007-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n014.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 : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 17:15:58 EDT 2023

% Result   : Unsatisfiable 1.51s 1.14s
% Output   : CNFRefutation 1.51s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   14 (   7 unt;   0 nHn;   7 RR)
%            Number of literals    :   21 (   3 equ;   9 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   2 con; 0-3 aty)
%            Number of variables   :   16 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_Orderings_Oorder__class_Oaxioms__1_0,axiom,
    ( c_lessequals(X2,X2,X1)
    | ~ class_Orderings_Oorder(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.9uOT5CArlL/E---3.1_29354.p',cls_Orderings_Oorder__class_Oaxioms__1_0) ).

cnf(clsrel_Ring__and__Field_Oordered__idom_44,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.9uOT5CArlL/E---3.1_29354.p',clsrel_Ring__and__Field_Oordered__idom_44) ).

cnf(cls_Ring__and__Field_Omult__cancel__right1_2,axiom,
    ( X2 = c_times(c_1,X2,X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.9uOT5CArlL/E---3.1_29354.p',cls_Ring__and__Field_Omult__cancel__right1_2) ).

cnf(tfree_tcs,negated_conjecture,
    class_Ring__and__Field_Oordered__idom(t_b),
    file('/export/starexec/sandbox2/tmp/tmp.9uOT5CArlL/E---3.1_29354.p',tfree_tcs) ).

cnf(cls_conjecture_0,negated_conjecture,
    ~ c_lessequals(c_HOL_Oabs(v_f(v_x(X1)),t_b),c_times(X1,c_HOL_Oabs(v_f(v_x(X1)),t_b),t_b),t_b),
    file('/export/starexec/sandbox2/tmp/tmp.9uOT5CArlL/E---3.1_29354.p',cls_conjecture_0) ).

cnf(c_0_5,axiom,
    ( c_lessequals(X2,X2,X1)
    | ~ class_Orderings_Oorder(X1) ),
    cls_Orderings_Oorder__class_Oaxioms__1_0 ).

cnf(c_0_6,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    clsrel_Ring__and__Field_Oordered__idom_44 ).

cnf(c_0_7,axiom,
    ( X2 = c_times(c_1,X2,X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    cls_Ring__and__Field_Omult__cancel__right1_2 ).

cnf(c_0_8,negated_conjecture,
    class_Ring__and__Field_Oordered__idom(t_b),
    tfree_tcs ).

cnf(c_0_9,plain,
    ( c_lessequals(X1,X1,X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(spm,[status(thm)],[c_0_5,c_0_6]) ).

cnf(c_0_10,negated_conjecture,
    ~ c_lessequals(c_HOL_Oabs(v_f(v_x(X1)),t_b),c_times(X1,c_HOL_Oabs(v_f(v_x(X1)),t_b),t_b),t_b),
    cls_conjecture_0 ).

cnf(c_0_11,negated_conjecture,
    c_times(c_1,X1,t_b) = X1,
    inference(spm,[status(thm)],[c_0_7,c_0_8]) ).

cnf(c_0_12,negated_conjecture,
    c_lessequals(X1,X1,t_b),
    inference(spm,[status(thm)],[c_0_9,c_0_8]) ).

cnf(c_0_13,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.14/0.33  % Problem    : ANA007-1 : TPTP v8.1.2. Released v3.2.0.
% 0.14/0.34  % Command    : run_E %s %d THM
% 0.38/0.56  % Computer : n014.cluster.edu
% 0.38/0.56  % Model    : x86_64 x86_64
% 0.38/0.56  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.38/0.56  % Memory   : 8042.1875MB
% 0.38/0.56  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.38/0.56  % CPULimit   : 2400
% 0.38/0.56  % WCLimit    : 300
% 0.38/0.56  % DateTime   : Mon Oct  2 15:02:05 EDT 2023
% 0.38/0.56  % CPUTime    : 
% 0.41/0.95  Running first-order theorem proving
% 0.41/0.95  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.9uOT5CArlL/E---3.1_29354.p
% 1.51/1.14  # Version: 3.1pre001
% 1.51/1.14  # Preprocessing class: FMLMSMSMSSSNFFN.
% 1.51/1.14  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.51/1.14  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1.51/1.14  # Starting new_bool_3 with 300s (1) cores
% 1.51/1.14  # Starting new_bool_1 with 300s (1) cores
% 1.51/1.14  # Starting sh5l with 300s (1) cores
% 1.51/1.14  # new_bool_1 with pid 29434 completed with status 0
% 1.51/1.14  # Result found by new_bool_1
% 1.51/1.14  # Preprocessing class: FMLMSMSMSSSNFFN.
% 1.51/1.14  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.51/1.14  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1.51/1.14  # Starting new_bool_3 with 300s (1) cores
% 1.51/1.14  # Starting new_bool_1 with 300s (1) cores
% 1.51/1.14  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1.51/1.14  # Search class: FGHSM-SSLM32-MFFFFFNN
% 1.51/1.14  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 1.51/1.14  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 163s (1) cores
% 1.51/1.14  # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with pid 29436 completed with status 0
% 1.51/1.14  # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI
% 1.51/1.14  # Preprocessing class: FMLMSMSMSSSNFFN.
% 1.51/1.14  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.51/1.14  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1.51/1.14  # Starting new_bool_3 with 300s (1) cores
% 1.51/1.14  # Starting new_bool_1 with 300s (1) cores
% 1.51/1.14  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1.51/1.14  # Search class: FGHSM-SSLM32-MFFFFFNN
% 1.51/1.14  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 1.51/1.14  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 163s (1) cores
% 1.51/1.14  # Preprocessing time       : 0.008 s
% 1.51/1.14  # Presaturation interreduction done
% 1.51/1.14  
% 1.51/1.14  # Proof found!
% 1.51/1.14  # SZS status Unsatisfiable
% 1.51/1.14  # SZS output start CNFRefutation
% See solution above
% 1.51/1.14  # Parsed axioms                        : 2784
% 1.51/1.14  # Removed by relevancy pruning/SinE    : 1668
% 1.51/1.14  # Initial clauses                      : 1116
% 1.51/1.14  # Removed in clause preprocessing      : 0
% 1.51/1.14  # Initial clauses in saturation        : 1116
% 1.51/1.14  # Processed clauses                    : 1784
% 1.51/1.14  # ...of these trivial                  : 5
% 1.51/1.14  # ...subsumed                          : 228
% 1.51/1.14  # ...remaining for further processing  : 1551
% 1.51/1.14  # Other redundant clauses eliminated   : 0
% 1.51/1.14  # Clauses deleted for lack of memory   : 0
% 1.51/1.14  # Backward-subsumed                    : 0
% 1.51/1.14  # Backward-rewritten                   : 4
% 1.51/1.14  # Generated clauses                    : 534
% 1.51/1.14  # ...of the previous two non-redundant : 437
% 1.51/1.14  # ...aggressively subsumed             : 0
% 1.51/1.14  # Contextual simplify-reflections      : 1
% 1.51/1.14  # Paramodulations                      : 532
% 1.51/1.14  # Factorizations                       : 0
% 1.51/1.14  # NegExts                              : 0
% 1.51/1.14  # Equation resolutions                 : 2
% 1.51/1.14  # Total rewrite steps                  : 170
% 1.51/1.14  # Propositional unsat checks           : 0
% 1.51/1.14  #    Propositional check models        : 0
% 1.51/1.14  #    Propositional check unsatisfiable : 0
% 1.51/1.14  #    Propositional clauses             : 0
% 1.51/1.14  #    Propositional clauses after purity: 0
% 1.51/1.14  #    Propositional unsat core size     : 0
% 1.51/1.14  #    Propositional preprocessing time  : 0.000
% 1.51/1.14  #    Propositional encoding time       : 0.000
% 1.51/1.14  #    Propositional solver time         : 0.000
% 1.51/1.14  #    Success case prop preproc time    : 0.000
% 1.51/1.14  #    Success case prop encoding time   : 0.000
% 1.51/1.14  #    Success case prop solver time     : 0.000
% 1.51/1.14  # Current number of processed clauses  : 484
% 1.51/1.14  #    Positive orientable unit clauses  : 118
% 1.51/1.14  #    Positive unorientable unit clauses: 0
% 1.51/1.14  #    Negative unit clauses             : 29
% 1.51/1.14  #    Non-unit-clauses                  : 337
% 1.51/1.14  # Current number of unprocessed clauses: 832
% 1.51/1.14  # ...number of literals in the above   : 2446
% 1.51/1.14  # Current number of archived formulas  : 0
% 1.51/1.14  # Current number of archived clauses   : 1067
% 1.51/1.14  # Clause-clause subsumption calls (NU) : 508863
% 1.51/1.14  # Rec. Clause-clause subsumption calls : 248855
% 1.51/1.14  # Non-unit clause-clause subsumptions  : 192
% 1.51/1.14  # Unit Clause-clause subsumption calls : 192
% 1.51/1.14  # Rewrite failures with RHS unbound    : 0
% 1.51/1.14  # BW rewrite match attempts            : 158
% 1.51/1.14  # BW rewrite match successes           : 4
% 1.51/1.14  # Condensation attempts                : 0
% 1.51/1.14  # Condensation successes               : 0
% 1.51/1.14  # Termbank termtop insertions          : 52942
% 1.51/1.14  
% 1.51/1.14  # -------------------------------------------------
% 1.51/1.14  # User time                : 0.120 s
% 1.51/1.14  # System time              : 0.011 s
% 1.51/1.14  # Total time               : 0.131 s
% 1.51/1.14  # Maximum resident set size: 5024 pages
% 1.51/1.14  
% 1.51/1.14  # -------------------------------------------------
% 1.51/1.14  # User time                : 0.153 s
% 1.51/1.14  # System time              : 0.012 s
% 1.51/1.14  # Total time               : 0.165 s
% 1.51/1.14  # Maximum resident set size: 3508 pages
% 1.51/1.14  % E---3.1 exiting
% 1.51/1.15  % E---3.1 exiting
%------------------------------------------------------------------------------