TSTP Solution File: SWV254-1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : SWV254-1 : TPTP v8.2.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n002.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 : Tue May 21 05:21:56 EDT 2024

% Result   : Unsatisfiable 3.89s 1.12s
% Output   : CNFRefutation 3.89s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   20 (  17 unt;   0 nHn;   9 RR)
%            Number of literals    :   26 (  14 equ;   9 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   3 con; 0-3 aty)
%            Number of variables   :   29 (  13 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_SetInterval_OatLeastLessThan__empty_0,axiom,
    ( c_SetInterval_OatLeastLessThan(X3,X2,X1) = c_emptyset
    | ~ class_Orderings_Oorder(X1)
    | ~ c_lessequals(X2,X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-1.ax',cls_SetInterval_OatLeastLessThan__empty_0) ).

cnf(cls_conjecture_0,negated_conjecture,
    c_lessequals(X1,v_x(X1),tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(cls_conjecture_1,negated_conjecture,
    v_x(X1) = v_nat,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(clsarity_nat_3,axiom,
    class_Orderings_Oorder(tc_nat),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',clsarity_nat_3) ).

cnf(cls_SetInterval_OatLeastLessThan__singleton_0,axiom,
    c_SetInterval_OatLeastLessThan(X1,c_Suc(X1),tc_nat) = c_insert(X1,c_emptyset,tc_nat),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-1.ax',cls_SetInterval_OatLeastLessThan__singleton_0) ).

cnf(cls_SetInterval_Ocard__atMost_0,axiom,
    c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat) = c_Suc(X1),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-1.ax',cls_SetInterval_Ocard__atMost_0) ).

cnf(cls_Set_Oempty__not__insert_0,axiom,
    c_emptyset != c_insert(X1,X2,X3),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-1.ax',cls_Set_Oempty__not__insert_0) ).

cnf(c_0_7,plain,
    ( c_SetInterval_OatLeastLessThan(X3,X2,X1) = c_emptyset
    | ~ class_Orderings_Oorder(X1)
    | ~ c_lessequals(X2,X3,X1) ),
    inference(fof_simplification,[status(thm)],[cls_SetInterval_OatLeastLessThan__empty_0]) ).

cnf(c_0_8,negated_conjecture,
    c_lessequals(X1,v_x(X1),tc_nat),
    cls_conjecture_0 ).

cnf(c_0_9,negated_conjecture,
    v_x(X1) = v_nat,
    cls_conjecture_1 ).

cnf(c_0_10,plain,
    ( c_SetInterval_OatLeastLessThan(X3,X2,X1) = c_emptyset
    | ~ class_Orderings_Oorder(X1)
    | ~ c_lessequals(X2,X3,X1) ),
    c_0_7 ).

cnf(c_0_11,negated_conjecture,
    c_lessequals(X1,v_nat,tc_nat),
    inference(rw,[status(thm)],[c_0_8,c_0_9]) ).

cnf(c_0_12,axiom,
    class_Orderings_Oorder(tc_nat),
    clsarity_nat_3 ).

cnf(c_0_13,axiom,
    c_SetInterval_OatLeastLessThan(X1,c_Suc(X1),tc_nat) = c_insert(X1,c_emptyset,tc_nat),
    cls_SetInterval_OatLeastLessThan__singleton_0 ).

cnf(c_0_14,axiom,
    c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat) = c_Suc(X1),
    cls_SetInterval_Ocard__atMost_0 ).

cnf(c_0_15,plain,
    c_emptyset != c_insert(X1,X2,X3),
    inference(fof_simplification,[status(thm)],[cls_Set_Oempty__not__insert_0]) ).

cnf(c_0_16,negated_conjecture,
    c_SetInterval_OatLeastLessThan(v_nat,X1,tc_nat) = c_emptyset,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12])]) ).

cnf(c_0_17,plain,
    c_SetInterval_OatLeastLessThan(X1,c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat),tc_nat) = c_insert(X1,c_emptyset,tc_nat),
    inference(rw,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_18,plain,
    c_emptyset != c_insert(X1,X2,X3),
    c_0_15 ).

cnf(c_0_19,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SWV254-1 : TPTP v8.2.0. Released v3.2.0.
% 0.07/0.14  % Command    : run_E %s %d THM
% 0.14/0.36  % Computer : n002.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Sun May 19 09:30:53 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.21/0.51  Running first-order theorem proving
% 0.21/0.51  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/benchmark/theBenchmark.p
% 3.89/1.12  # Version: 3.1.0
% 3.89/1.12  # Preprocessing class: FMLMSMSMSSSNFFN.
% 3.89/1.12  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.89/1.12  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 3.89/1.12  # Starting new_bool_3 with 300s (1) cores
% 3.89/1.12  # Starting new_bool_1 with 300s (1) cores
% 3.89/1.12  # Starting sh5l with 300s (1) cores
% 3.89/1.12  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 17836 completed with status 0
% 3.89/1.12  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 3.89/1.12  # Preprocessing class: FMLMSMSMSSSNFFN.
% 3.89/1.12  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.89/1.12  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 3.89/1.12  # No SInE strategy applied
% 3.89/1.12  # Search class: FGHSM-SMLM32-DFFFFFNN
% 3.89/1.12  # Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 3.89/1.12  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with 113s (1) cores
% 3.89/1.12  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 3.89/1.12  # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 113s (1) cores
% 3.89/1.12  # Starting G-E--_208_B07CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 113s (1) cores
% 3.89/1.12  # Starting G-E--_208_B00_00_F1_SE_CS_SP_PS_S5PRR_S00EN with 113s (1) cores
% 3.89/1.12  # G-E--_208_B07CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 17850 completed with status 0
% 3.89/1.12  # Result found by G-E--_208_B07CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 3.89/1.12  # Preprocessing class: FMLMSMSMSSSNFFN.
% 3.89/1.12  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.89/1.12  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 3.89/1.12  # No SInE strategy applied
% 3.89/1.12  # Search class: FGHSM-SMLM32-DFFFFFNN
% 3.89/1.12  # Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 3.89/1.12  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with 113s (1) cores
% 3.89/1.12  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 3.89/1.12  # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 113s (1) cores
% 3.89/1.12  # Starting G-E--_208_B07CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 113s (1) cores
% 3.89/1.12  # Preprocessing time       : 0.027 s
% 3.89/1.12  # Presaturation interreduction done
% 3.89/1.12  
% 3.89/1.12  # Proof found!
% 3.89/1.12  # SZS status Unsatisfiable
% 3.89/1.12  # SZS output start CNFRefutation
% See solution above
% 3.89/1.12  # Parsed axioms                        : 2789
% 3.89/1.12  # Removed by relevancy pruning/SinE    : 0
% 3.89/1.12  # Initial clauses                      : 2789
% 3.89/1.12  # Removed in clause preprocessing      : 10
% 3.89/1.12  # Initial clauses in saturation        : 2779
% 3.89/1.12  # Processed clauses                    : 5253
% 3.89/1.12  # ...of these trivial                  : 30
% 3.89/1.12  # ...subsumed                          : 873
% 3.89/1.12  # ...remaining for further processing  : 4350
% 3.89/1.12  # Other redundant clauses eliminated   : 21
% 3.89/1.12  # Clauses deleted for lack of memory   : 0
% 3.89/1.12  # Backward-subsumed                    : 10
% 3.89/1.12  # Backward-rewritten                   : 53
% 3.89/1.12  # Generated clauses                    : 5027
% 3.89/1.12  # ...of the previous two non-redundant : 4024
% 3.89/1.12  # ...aggressively subsumed             : 0
% 3.89/1.12  # Contextual simplify-reflections      : 6
% 3.89/1.12  # Paramodulations                      : 4965
% 3.89/1.12  # Factorizations                       : 0
% 3.89/1.12  # NegExts                              : 0
% 3.89/1.12  # Equation resolutions                 : 62
% 3.89/1.12  # Disequality decompositions           : 0
% 3.89/1.12  # Total rewrite steps                  : 1643
% 3.89/1.12  # ...of those cached                   : 1298
% 3.89/1.12  # Propositional unsat checks           : 0
% 3.89/1.12  #    Propositional check models        : 0
% 3.89/1.12  #    Propositional check unsatisfiable : 0
% 3.89/1.12  #    Propositional clauses             : 0
% 3.89/1.12  #    Propositional clauses after purity: 0
% 3.89/1.12  #    Propositional unsat core size     : 0
% 3.89/1.12  #    Propositional preprocessing time  : 0.000
% 3.89/1.12  #    Propositional encoding time       : 0.000
% 3.89/1.12  #    Propositional solver time         : 0.000
% 3.89/1.12  #    Success case prop preproc time    : 0.000
% 3.89/1.12  #    Success case prop encoding time   : 0.000
% 3.89/1.12  #    Success case prop solver time     : 0.000
% 3.89/1.12  # Current number of processed clauses  : 1644
% 3.89/1.12  #    Positive orientable unit clauses  : 391
% 3.89/1.12  #    Positive unorientable unit clauses: 3
% 3.89/1.12  #    Negative unit clauses             : 68
% 3.89/1.12  #    Non-unit-clauses                  : 1182
% 3.89/1.12  # Current number of unprocessed clauses: 3968
% 3.89/1.12  # ...number of literals in the above   : 8909
% 3.89/1.12  # Current number of archived formulas  : 0
% 3.89/1.12  # Current number of archived clauses   : 2715
% 3.89/1.12  # Clause-clause subsumption calls (NU) : 2573022
% 3.89/1.12  # Rec. Clause-clause subsumption calls : 1629051
% 3.89/1.12  # Non-unit clause-clause subsumptions  : 757
% 3.89/1.12  # Unit Clause-clause subsumption calls : 87950
% 3.89/1.12  # Rewrite failures with RHS unbound    : 0
% 3.89/1.12  # BW rewrite match attempts            : 509
% 3.89/1.12  # BW rewrite match successes           : 50
% 3.89/1.12  # Condensation attempts                : 0
% 3.89/1.12  # Condensation successes               : 0
% 3.89/1.12  # Termbank termtop insertions          : 128387
% 3.89/1.12  # Search garbage collected termcells   : 4030
% 3.89/1.12  
% 3.89/1.12  # -------------------------------------------------
% 3.89/1.12  # User time                : 0.502 s
% 3.89/1.12  # System time              : 0.023 s
% 3.89/1.12  # Total time               : 0.525 s
% 3.89/1.12  # Maximum resident set size: 6764 pages
% 3.89/1.12  
% 3.89/1.12  # -------------------------------------------------
% 3.89/1.12  # User time                : 2.369 s
% 3.89/1.12  # System time              : 0.093 s
% 3.89/1.12  # Total time               : 2.462 s
% 3.89/1.12  # Maximum resident set size: 3492 pages
% 3.89/1.12  % E---3.1 exiting
% 4.46/1.13  % E exiting
%------------------------------------------------------------------------------