TSTP Solution File: ANA016-1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : ANA016-1 : 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 17:16:21 EDT 2023

% Result   : Unsatisfiable 19.12s 3.20s
% Output   : CNFRefutation 19.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   25 (  11 unt;   4 nHn;  16 RR)
%            Number of literals    :   41 (  17 equ;  16 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-3 aty)
%            Number of variables   :   26 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(clsrel_Ring__and__Field_Oordered__field_0,axiom,
    ( class_Ring__and__Field_Ofield(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.qdoegtKDru/E---3.1_9556.p',clsrel_Ring__and__Field_Oordered__field_0) ).

cnf(tfree_tcs,negated_conjecture,
    class_Ring__and__Field_Oordered__field(t_a),
    file('/export/starexec/sandbox2/tmp/tmp.qdoegtKDru/E---3.1_9556.p',tfree_tcs) ).

cnf(clsrel_Ring__and__Field_Oordered__field_34,axiom,
    ( class_Ring__and__Field_Oordered__idom(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.qdoegtKDru/E---3.1_9556.p',clsrel_Ring__and__Field_Oordered__field_34) ).

cnf(cls_Ring__and__Field_Oright__inverse_0,axiom,
    ( X2 = c_0
    | c_times(X2,c_HOL_Oinverse(X2,X1),X1) = c_1
    | ~ class_Ring__and__Field_Ofield(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.qdoegtKDru/E---3.1_9556.p',cls_Ring__and__Field_Oright__inverse_0) ).

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.qdoegtKDru/E---3.1_9556.p',cls_Ring__and__Field_Omult__cancel__right1_2) ).

cnf(clsrel_Ring__and__Field_Oordered__field_24,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.qdoegtKDru/E---3.1_9556.p',clsrel_Ring__and__Field_Oordered__field_24) ).

cnf(cls_OrderedGroup_Osemigroup__mult__class_Omult__assoc_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.qdoegtKDru/E---3.1_9556.p',cls_OrderedGroup_Osemigroup__mult__class_Omult__assoc_0) ).

cnf(cls_conjecture_2,negated_conjecture,
    v_g(v_x) != c_times(v_c,c_times(c_HOL_Oinverse(v_c,t_a),v_g(v_x),t_a),t_a),
    file('/export/starexec/sandbox2/tmp/tmp.qdoegtKDru/E---3.1_9556.p',cls_conjecture_2) ).

cnf(cls_conjecture_0,negated_conjecture,
    v_c != c_0,
    file('/export/starexec/sandbox2/tmp/tmp.qdoegtKDru/E---3.1_9556.p',cls_conjecture_0) ).

cnf(c_0_9,axiom,
    ( class_Ring__and__Field_Ofield(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    clsrel_Ring__and__Field_Oordered__field_0 ).

cnf(c_0_10,negated_conjecture,
    class_Ring__and__Field_Oordered__field(t_a),
    tfree_tcs ).

cnf(c_0_11,axiom,
    ( class_Ring__and__Field_Oordered__idom(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    clsrel_Ring__and__Field_Oordered__field_34 ).

cnf(c_0_12,axiom,
    ( X2 = c_0
    | c_times(X2,c_HOL_Oinverse(X2,X1),X1) = c_1
    | ~ class_Ring__and__Field_Ofield(X1) ),
    cls_Ring__and__Field_Oright__inverse_0 ).

cnf(c_0_13,negated_conjecture,
    class_Ring__and__Field_Ofield(t_a),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_14,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_15,negated_conjecture,
    class_Ring__and__Field_Oordered__idom(t_a),
    inference(spm,[status(thm)],[c_0_11,c_0_10]) ).

cnf(c_0_16,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    clsrel_Ring__and__Field_Oordered__field_24 ).

cnf(c_0_17,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_Osemigroup__mult__class_Omult__assoc_0 ).

cnf(c_0_18,negated_conjecture,
    ( c_times(X1,c_HOL_Oinverse(X1,t_a),t_a) = c_1
    | X1 = c_0 ),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_19,negated_conjecture,
    c_times(c_1,X1,t_a) = X1,
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_20,negated_conjecture,
    class_OrderedGroup_Osemigroup__mult(t_a),
    inference(spm,[status(thm)],[c_0_16,c_0_10]) ).

cnf(c_0_21,negated_conjecture,
    v_g(v_x) != c_times(v_c,c_times(c_HOL_Oinverse(v_c,t_a),v_g(v_x),t_a),t_a),
    cls_conjecture_2 ).

cnf(c_0_22,negated_conjecture,
    ( c_times(X1,c_times(c_HOL_Oinverse(X1,t_a),X2,t_a),t_a) = X2
    | X1 = c_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]),c_0_20])]) ).

cnf(c_0_23,negated_conjecture,
    v_c != c_0,
    cls_conjecture_0 ).

cnf(c_0_24,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : ANA016-1 : TPTP v8.1.2. Released v3.2.0.
% 0.06/0.13  % Command    : run_E %s %d THM
% 0.13/0.34  % Computer : n024.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   : 2400
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon Oct  2 15:08:42 EDT 2023
% 0.13/0.34  % CPUTime    : 
% 0.19/0.67  Running first-order model finding
% 0.19/0.67  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.qdoegtKDru/E---3.1_9556.p
% 19.12/3.20  # Version: 3.1pre001
% 19.12/3.20  # Preprocessing class: FMLMSMSMSSSNFFN.
% 19.12/3.20  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 19.12/3.20  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 19.12/3.20  # Starting new_bool_3 with 300s (1) cores
% 19.12/3.20  # Starting new_bool_1 with 300s (1) cores
% 19.12/3.20  # Starting sh5l with 300s (1) cores
% 19.12/3.20  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 9645 completed with status 0
% 19.12/3.20  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 19.12/3.20  # Preprocessing class: FMLMSMSMSSSNFFN.
% 19.12/3.20  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 19.12/3.20  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 19.12/3.20  # No SInE strategy applied
% 19.12/3.20  # Search class: FGHSM-SMLM32-DFFFFFNN
% 19.12/3.20  # Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 19.12/3.20  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with 113s (1) cores
% 19.12/3.20  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 19.12/3.20  # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 113s (1) cores
% 19.12/3.20  # Starting G-E--_208_B07CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 113s (1) cores
% 19.12/3.20  # Starting G-E--_208_B00_00_F1_SE_CS_SP_PS_S5PRR_S00EN with 113s (1) cores
% 19.12/3.20  # G-E--_208_B00_00_F1_SE_CS_SP_PS_S5PRR_S00EN with pid 9661 completed with status 0
% 19.12/3.20  # Result found by G-E--_208_B00_00_F1_SE_CS_SP_PS_S5PRR_S00EN
% 19.12/3.20  # Preprocessing class: FMLMSMSMSSSNFFN.
% 19.12/3.20  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 19.12/3.20  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 19.12/3.20  # No SInE strategy applied
% 19.12/3.20  # Search class: FGHSM-SMLM32-DFFFFFNN
% 19.12/3.20  # Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 19.12/3.20  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with 113s (1) cores
% 19.12/3.20  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 19.12/3.20  # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 113s (1) cores
% 19.12/3.20  # Starting G-E--_208_B07CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 113s (1) cores
% 19.12/3.20  # Starting G-E--_208_B00_00_F1_SE_CS_SP_PS_S5PRR_S00EN with 113s (1) cores
% 19.12/3.20  # Preprocessing time       : 0.018 s
% 19.12/3.20  # Presaturation interreduction done
% 19.12/3.20  
% 19.12/3.20  # Proof found!
% 19.12/3.20  # SZS status Unsatisfiable
% 19.12/3.20  # SZS output start CNFRefutation
% See solution above
% 19.12/3.20  # Parsed axioms                        : 2789
% 19.12/3.20  # Removed by relevancy pruning/SinE    : 0
% 19.12/3.20  # Initial clauses                      : 2789
% 19.12/3.20  # Removed in clause preprocessing      : 9
% 19.12/3.20  # Initial clauses in saturation        : 2780
% 19.12/3.20  # Processed clauses                    : 14943
% 19.12/3.20  # ...of these trivial                  : 817
% 19.12/3.20  # ...subsumed                          : 6525
% 19.12/3.20  # ...remaining for further processing  : 7601
% 19.12/3.20  # Other redundant clauses eliminated   : 628
% 19.12/3.20  # Clauses deleted for lack of memory   : 0
% 19.12/3.20  # Backward-subsumed                    : 85
% 19.12/3.20  # Backward-rewritten                   : 251
% 19.12/3.20  # Generated clauses                    : 59605
% 19.12/3.20  # ...of the previous two non-redundant : 47462
% 19.12/3.20  # ...aggressively subsumed             : 0
% 19.12/3.20  # Contextual simplify-reflections      : 4
% 19.12/3.20  # Paramodulations                      : 58758
% 19.12/3.20  # Factorizations                       : 179
% 19.12/3.20  # NegExts                              : 0
% 19.12/3.20  # Equation resolutions                 : 668
% 19.12/3.20  # Total rewrite steps                  : 33419
% 19.12/3.20  # Propositional unsat checks           : 0
% 19.12/3.20  #    Propositional check models        : 0
% 19.12/3.20  #    Propositional check unsatisfiable : 0
% 19.12/3.20  #    Propositional clauses             : 0
% 19.12/3.20  #    Propositional clauses after purity: 0
% 19.12/3.20  #    Propositional unsat core size     : 0
% 19.12/3.20  #    Propositional preprocessing time  : 0.000
% 19.12/3.20  #    Propositional encoding time       : 0.000
% 19.12/3.20  #    Propositional solver time         : 0.000
% 19.12/3.20  #    Success case prop preproc time    : 0.000
% 19.12/3.20  #    Success case prop encoding time   : 0.000
% 19.12/3.20  #    Success case prop solver time     : 0.000
% 19.12/3.20  # Current number of processed clauses  : 4604
% 19.12/3.20  #    Positive orientable unit clauses  : 1459
% 19.12/3.20  #    Positive unorientable unit clauses: 24
% 19.12/3.20  #    Negative unit clauses             : 645
% 19.12/3.20  #    Non-unit-clauses                  : 2476
% 19.12/3.20  # Current number of unprocessed clauses: 34051
% 19.12/3.20  # ...number of literals in the above   : 94192
% 19.12/3.20  # Current number of archived formulas  : 0
% 19.12/3.20  # Current number of archived clauses   : 3005
% 19.12/3.20  # Clause-clause subsumption calls (NU) : 4943378
% 19.12/3.20  # Rec. Clause-clause subsumption calls : 2582206
% 19.12/3.20  # Non-unit clause-clause subsumptions  : 2092
% 19.12/3.20  # Unit Clause-clause subsumption calls : 237555
% 19.12/3.20  # Rewrite failures with RHS unbound    : 24
% 19.12/3.20  # BW rewrite match attempts            : 3518
% 19.12/3.20  # BW rewrite match successes           : 277
% 19.12/3.20  # Condensation attempts                : 0
% 19.12/3.20  # Condensation successes               : 0
% 19.12/3.20  # Termbank termtop insertions          : 743961
% 19.12/3.20  
% 19.12/3.20  # -------------------------------------------------
% 19.12/3.20  # User time                : 2.030 s
% 19.12/3.20  # System time              : 0.069 s
% 19.12/3.20  # Total time               : 2.099 s
% 19.12/3.20  # Maximum resident set size: 6412 pages
% 19.12/3.20  
% 19.12/3.20  # -------------------------------------------------
% 19.12/3.20  # User time                : 11.382 s
% 19.12/3.20  # System time              : 0.272 s
% 19.12/3.20  # Total time               : 11.654 s
% 19.12/3.20  # Maximum resident set size: 3512 pages
% 19.12/3.20  % E---3.1 exiting
%------------------------------------------------------------------------------