TSTP Solution File: ANA035-1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : ANA035-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n024.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 17:16:27 EDT 2023

% Result   : Unsatisfiable 8.20s 1.73s
% Output   : CNFRefutation 8.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   20 (  10 unt;   0 nHn;  14 RR)
%            Number of literals    :   30 (  11 equ;  15 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-3 aty)
%            Number of variables   :   26 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(clsrel_Ring__and__Field_Oordered__idom_21,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.qca9Wkhqom/E---3.1_7387.p',clsrel_Ring__and__Field_Oordered__idom_21) ).

cnf(tfree_tcs,negated_conjecture,
    class_Ring__and__Field_Oordered__idom(t_b),
    file('/export/starexec/sandbox2/tmp/tmp.qca9Wkhqom/E---3.1_7387.p',tfree_tcs) ).

cnf(cls_conjecture_4,negated_conjecture,
    c_times(c_times(v_c,v_ca,t_b),c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b) != c_times(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b),
    file('/export/starexec/sandbox2/tmp/tmp.qca9Wkhqom/E---3.1_7387.p',cls_conjecture_4) ).

cnf(cls_OrderedGroup_Omult__ac__1_0,axiom,
    ( c_times(c_times(X2,X3,X1),X4,X1) = c_times(X2,c_times(X3,X4,X1),X1)
    | ~ class_OrderedGroup_Osemigroup__mult(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.qca9Wkhqom/E---3.1_7387.p',cls_OrderedGroup_Omult__ac__1_0) ).

cnf(clsrel_Ring__and__Field_Oordered__idom_17,axiom,
    ( class_OrderedGroup_Oab__semigroup__mult(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.qca9Wkhqom/E---3.1_7387.p',clsrel_Ring__and__Field_Oordered__idom_17) ).

cnf(cls_OrderedGroup_Omult__ac__3_0,axiom,
    ( c_times(X2,c_times(X3,X4,X1),X1) = c_times(X3,c_times(X2,X4,X1),X1)
    | ~ class_OrderedGroup_Oab__semigroup__mult(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.qca9Wkhqom/E---3.1_7387.p',cls_OrderedGroup_Omult__ac__3_0) ).

cnf(cls_Ring__and__Field_Oabs__mult_0,axiom,
    ( c_HOL_Oabs(c_times(X2,X3,X1),X1) = c_times(c_HOL_Oabs(X2,X1),c_HOL_Oabs(X3,X1),X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.qca9Wkhqom/E---3.1_7387.p',cls_Ring__and__Field_Oabs__mult_0) ).

cnf(c_0_7,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    clsrel_Ring__and__Field_Oordered__idom_21 ).

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

cnf(c_0_9,negated_conjecture,
    c_times(c_times(v_c,v_ca,t_b),c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b) != c_times(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b),
    cls_conjecture_4 ).

cnf(c_0_10,axiom,
    ( c_times(c_times(X2,X3,X1),X4,X1) = c_times(X2,c_times(X3,X4,X1),X1)
    | ~ class_OrderedGroup_Osemigroup__mult(X1) ),
    cls_OrderedGroup_Omult__ac__1_0 ).

cnf(c_0_11,negated_conjecture,
    class_OrderedGroup_Osemigroup__mult(t_b),
    inference(spm,[status(thm)],[c_0_7,c_0_8]) ).

cnf(c_0_12,axiom,
    ( class_OrderedGroup_Oab__semigroup__mult(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    clsrel_Ring__and__Field_Oordered__idom_17 ).

cnf(c_0_13,negated_conjecture,
    c_times(v_c,c_times(c_HOL_Oabs(v_f(v_x),t_b),c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b),t_b) != c_times(c_times(v_c,v_ca,t_b),c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11])]) ).

cnf(c_0_14,axiom,
    ( c_times(X2,c_times(X3,X4,X1),X1) = c_times(X3,c_times(X2,X4,X1),X1)
    | ~ class_OrderedGroup_Oab__semigroup__mult(X1) ),
    cls_OrderedGroup_Omult__ac__3_0 ).

cnf(c_0_15,negated_conjecture,
    class_OrderedGroup_Oab__semigroup__mult(t_b),
    inference(spm,[status(thm)],[c_0_12,c_0_8]) ).

cnf(c_0_16,negated_conjecture,
    c_times(v_c,c_times(v_ca,c_times(c_HOL_Oabs(v_f(v_x),t_b),c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b),t_b) != c_times(c_times(v_c,v_ca,t_b),c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15])]) ).

cnf(c_0_17,axiom,
    ( c_HOL_Oabs(c_times(X2,X3,X1),X1) = c_times(c_HOL_Oabs(X2,X1),c_HOL_Oabs(X3,X1),X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    cls_Ring__and__Field_Oabs__mult_0 ).

cnf(c_0_18,negated_conjecture,
    c_times(c_times(v_c,v_ca,t_b),c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b) != c_times(v_c,c_times(v_ca,c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),t_b),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_8])]) ).

cnf(c_0_19,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_10]),c_0_11])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.09  % Problem    : ANA035-1 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.10  % Command    : run_E %s %d THM
% 0.10/0.30  % Computer : n024.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit   : 2400
% 0.10/0.30  % WCLimit    : 300
% 0.10/0.30  % DateTime   : Mon Oct  2 15:07:57 EDT 2023
% 0.10/0.30  % CPUTime    : 
% 0.38/0.62  Running first-order model finding
% 0.38/0.62  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/tmp/tmp.qca9Wkhqom/E---3.1_7387.p
% 8.20/1.73  # Version: 3.1pre001
% 8.20/1.73  # Preprocessing class: FMLMSMSMSSSNFFN.
% 8.20/1.73  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 8.20/1.73  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 8.20/1.73  # Starting new_bool_3 with 300s (1) cores
% 8.20/1.73  # Starting new_bool_1 with 300s (1) cores
% 8.20/1.73  # Starting sh5l with 300s (1) cores
% 8.20/1.73  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 7467 completed with status 0
% 8.20/1.73  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 8.20/1.73  # Preprocessing class: FMLMSMSMSSSNFFN.
% 8.20/1.73  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 8.20/1.73  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 8.20/1.73  # No SInE strategy applied
% 8.20/1.73  # Search class: FGHSM-SMLM32-DFFFFFNN
% 8.20/1.73  # Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 8.20/1.73  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with 113s (1) cores
% 8.20/1.73  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 8.20/1.73  # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 113s (1) cores
% 8.20/1.73  # Starting G-E--_208_B07CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 113s (1) cores
% 8.20/1.73  # Starting G-E--_208_B00_00_F1_SE_CS_SP_PS_S5PRR_S00EN with 113s (1) cores
% 8.20/1.73  # G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with pid 7476 completed with status 0
% 8.20/1.73  # Result found by G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y
% 8.20/1.73  # Preprocessing class: FMLMSMSMSSSNFFN.
% 8.20/1.73  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 8.20/1.73  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 8.20/1.73  # No SInE strategy applied
% 8.20/1.73  # Search class: FGHSM-SMLM32-DFFFFFNN
% 8.20/1.73  # Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 8.20/1.73  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with 113s (1) cores
% 8.20/1.73  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 8.20/1.73  # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 113s (1) cores
% 8.20/1.73  # Preprocessing time       : 0.023 s
% 8.20/1.73  
% 8.20/1.73  # Proof found!
% 8.20/1.73  # SZS status Unsatisfiable
% 8.20/1.73  # SZS output start CNFRefutation
% See solution above
% 8.20/1.73  # Parsed axioms                        : 2795
% 8.20/1.73  # Removed by relevancy pruning/SinE    : 0
% 8.20/1.73  # Initial clauses                      : 2795
% 8.20/1.73  # Removed in clause preprocessing      : 9
% 8.20/1.73  # Initial clauses in saturation        : 2786
% 8.20/1.73  # Processed clauses                    : 3656
% 8.20/1.73  # ...of these trivial                  : 62
% 8.20/1.73  # ...subsumed                          : 746
% 8.20/1.73  # ...remaining for further processing  : 2848
% 8.20/1.73  # Other redundant clauses eliminated   : 209
% 8.20/1.73  # Clauses deleted for lack of memory   : 0
% 8.20/1.73  # Backward-subsumed                    : 11
% 8.20/1.73  # Backward-rewritten                   : 24
% 8.20/1.73  # Generated clauses                    : 30097
% 8.20/1.73  # ...of the previous two non-redundant : 24893
% 8.20/1.73  # ...aggressively subsumed             : 0
% 8.20/1.73  # Contextual simplify-reflections      : 7
% 8.20/1.73  # Paramodulations                      : 29838
% 8.20/1.73  # Factorizations                       : 1
% 8.20/1.73  # NegExts                              : 0
% 8.20/1.73  # Equation resolutions                 : 258
% 8.20/1.73  # Total rewrite steps                  : 14614
% 8.20/1.73  # Propositional unsat checks           : 0
% 8.20/1.73  #    Propositional check models        : 0
% 8.20/1.73  #    Propositional check unsatisfiable : 0
% 8.20/1.73  #    Propositional clauses             : 0
% 8.20/1.73  #    Propositional clauses after purity: 0
% 8.20/1.73  #    Propositional unsat core size     : 0
% 8.20/1.73  #    Propositional preprocessing time  : 0.000
% 8.20/1.73  #    Propositional encoding time       : 0.000
% 8.20/1.73  #    Propositional solver time         : 0.000
% 8.20/1.73  #    Success case prop preproc time    : 0.000
% 8.20/1.73  #    Success case prop encoding time   : 0.000
% 8.20/1.73  #    Success case prop solver time     : 0.000
% 8.20/1.73  # Current number of processed clauses  : 2813
% 8.20/1.73  #    Positive orientable unit clauses  : 605
% 8.20/1.73  #    Positive unorientable unit clauses: 16
% 8.20/1.73  #    Negative unit clauses             : 87
% 8.20/1.73  #    Non-unit-clauses                  : 2105
% 8.20/1.73  # Current number of unprocessed clauses: 23957
% 8.20/1.73  # ...number of literals in the above   : 88827
% 8.20/1.73  # Current number of archived formulas  : 0
% 8.20/1.73  # Current number of archived clauses   : 43
% 8.20/1.73  # Clause-clause subsumption calls (NU) : 2355245
% 8.20/1.73  # Rec. Clause-clause subsumption calls : 1119237
% 8.20/1.73  # Non-unit clause-clause subsumptions  : 422
% 8.20/1.73  # Unit Clause-clause subsumption calls : 116950
% 8.20/1.73  # Rewrite failures with RHS unbound    : 0
% 8.20/1.73  # BW rewrite match attempts            : 425
% 8.20/1.73  # BW rewrite match successes           : 40
% 8.20/1.73  # Condensation attempts                : 0
% 8.20/1.73  # Condensation successes               : 0
% 8.20/1.73  # Termbank termtop insertions          : 534332
% 8.20/1.73  
% 8.20/1.73  # -------------------------------------------------
% 8.20/1.73  # User time                : 0.978 s
% 8.20/1.73  # System time              : 0.037 s
% 8.20/1.73  # Total time               : 1.015 s
% 8.20/1.73  # Maximum resident set size: 6424 pages
% 8.20/1.73  
% 8.20/1.73  # -------------------------------------------------
% 8.20/1.73  # User time                : 4.843 s
% 8.20/1.73  # System time              : 0.128 s
% 8.20/1.73  # Total time               : 4.972 s
% 8.20/1.73  # Maximum resident set size: 3516 pages
% 8.20/1.73  % E---3.1 exiting
%------------------------------------------------------------------------------