TSTP Solution File: SWC386-1 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : SWC386-1 : TPTP v8.2.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n009.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 04:29:24 EDT 2024

% Result   : Unsatisfiable 0.20s 0.51s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   42 (  11 unt;  15 nHn;  42 RR)
%            Number of literals    :   87 (  40 equ;  38 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :   14 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(co1_14,negated_conjecture,
    ( nil = sk2
    | ~ ssItem(X1)
    | cons(X1,nil) != sk1
    | ~ memberP(sk2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_14) ).

cnf(co1_15,negated_conjecture,
    ( neq(sk2,nil)
    | nil != sk1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_15) ).

cnf(co1_6,negated_conjecture,
    sk1 = sk3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).

cnf(co1_10,negated_conjecture,
    ( memberP(sk4,sk5)
    | nil = sk4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).

cnf(co1_5,negated_conjecture,
    sk2 = sk4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).

cnf(co1_7,negated_conjecture,
    ( ssItem(sk5)
    | nil = sk4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).

cnf(co1_9,negated_conjecture,
    ( cons(sk5,nil) = sk3
    | nil = sk4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).

cnf(clause115,axiom,
    ( X1 != X2
    | ~ neq(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause115) ).

cnf(co1_12,negated_conjecture,
    ( memberP(sk4,sk5)
    | nil = sk3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).

cnf(clause8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause8) ).

cnf(clause71,axiom,
    ( ~ memberP(nil,X1)
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause71) ).

cnf(co1_8,negated_conjecture,
    ( ssItem(sk5)
    | nil = sk3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).

cnf(c_0_12,negated_conjecture,
    ( nil = sk2
    | ~ ssItem(X1)
    | cons(X1,nil) != sk1
    | ~ memberP(sk2,X1) ),
    inference(fof_simplification,[status(thm)],[co1_14]) ).

cnf(c_0_13,negated_conjecture,
    ( neq(sk2,nil)
    | nil != sk1 ),
    inference(fof_simplification,[status(thm)],[co1_15]) ).

cnf(c_0_14,negated_conjecture,
    ( nil = sk2
    | ~ ssItem(X1)
    | cons(X1,nil) != sk1
    | ~ memberP(sk2,X1) ),
    c_0_12 ).

cnf(c_0_15,negated_conjecture,
    sk1 = sk3,
    co1_6 ).

cnf(c_0_16,negated_conjecture,
    ( memberP(sk4,sk5)
    | nil = sk4 ),
    co1_10 ).

cnf(c_0_17,negated_conjecture,
    sk2 = sk4,
    co1_5 ).

cnf(c_0_18,negated_conjecture,
    ( ssItem(sk5)
    | nil = sk4 ),
    co1_7 ).

cnf(c_0_19,negated_conjecture,
    ( cons(sk5,nil) = sk3
    | nil = sk4 ),
    co1_9 ).

cnf(c_0_20,plain,
    ( X1 != X2
    | ~ neq(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(fof_simplification,[status(thm)],[clause115]) ).

cnf(c_0_21,negated_conjecture,
    ( neq(sk2,nil)
    | nil != sk1 ),
    c_0_13 ).

cnf(c_0_22,negated_conjecture,
    ( sk2 = nil
    | cons(X1,nil) != sk3
    | ~ memberP(sk2,X1)
    | ~ ssItem(X1) ),
    inference(rw,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_23,negated_conjecture,
    ( sk2 = nil
    | memberP(sk2,sk5) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_17]),c_0_17]) ).

cnf(c_0_24,negated_conjecture,
    ( sk2 = nil
    | ssItem(sk5) ),
    inference(rw,[status(thm)],[c_0_18,c_0_17]) ).

cnf(c_0_25,negated_conjecture,
    ( cons(sk5,nil) = sk3
    | sk2 = nil ),
    inference(rw,[status(thm)],[c_0_19,c_0_17]) ).

cnf(c_0_26,negated_conjecture,
    ( memberP(sk4,sk5)
    | nil = sk3 ),
    co1_12 ).

cnf(c_0_27,plain,
    ( X1 != X2
    | ~ neq(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    c_0_20 ).

cnf(c_0_28,negated_conjecture,
    ( neq(sk2,nil)
    | sk3 != nil ),
    inference(rw,[status(thm)],[c_0_21,c_0_15]) ).

cnf(c_0_29,negated_conjecture,
    sk2 = nil,
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]),c_0_25]) ).

cnf(c_0_30,negated_conjecture,
    ( sk3 = nil
    | memberP(sk2,sk5) ),
    inference(rw,[status(thm)],[c_0_26,c_0_17]) ).

cnf(c_0_31,plain,
    ( ~ neq(X1,X1)
    | ~ ssList(X1) ),
    inference(er,[status(thm)],[c_0_27]) ).

cnf(c_0_32,negated_conjecture,
    ( neq(nil,nil)
    | sk3 != nil ),
    inference(rw,[status(thm)],[c_0_28,c_0_29]) ).

cnf(c_0_33,axiom,
    ssList(nil),
    clause8 ).

cnf(c_0_34,plain,
    ( ~ memberP(nil,X1)
    | ~ ssItem(X1) ),
    inference(fof_simplification,[status(thm)],[clause71]) ).

cnf(c_0_35,negated_conjecture,
    ( sk3 = nil
    | memberP(nil,sk5) ),
    inference(rw,[status(thm)],[c_0_30,c_0_29]) ).

cnf(c_0_36,negated_conjecture,
    sk3 != nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33])]) ).

cnf(c_0_37,negated_conjecture,
    ( ssItem(sk5)
    | nil = sk3 ),
    co1_8 ).

cnf(c_0_38,plain,
    ( ~ memberP(nil,X1)
    | ~ ssItem(X1) ),
    c_0_34 ).

cnf(c_0_39,negated_conjecture,
    memberP(nil,sk5),
    inference(sr,[status(thm)],[c_0_35,c_0_36]) ).

cnf(c_0_40,negated_conjecture,
    ssItem(sk5),
    inference(sr,[status(thm)],[c_0_37,c_0_36]) ).

cnf(c_0_41,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWC386-1 : TPTP v8.2.0. Released v2.4.0.
% 0.07/0.13  % Command    : run_E %s %d THM
% 0.14/0.35  % Computer : n009.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Sun May 19 03:22:23 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.20/0.48  Running first-order model finding
% 0.20/0.48  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
% 0.20/0.50  # Version: 3.1.0
% 0.20/0.50  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.20/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.50  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.20/0.50  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.50  # Starting new_bool_1 with 300s (1) cores
% 0.20/0.50  # Starting sh5l with 300s (1) cores
% 0.20/0.50  # new_bool_3 with pid 23754 completed with status 0
% 0.20/0.50  # Result found by new_bool_3
% 0.20/0.50  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.20/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.50  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.20/0.50  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.50  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.20/0.50  # Search class: FGHSF-FFMM22-SFFFFFNN
% 0.20/0.50  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.50  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.20/0.50  # SAT001_MinMin_p005000_rr_RG with pid 23757 completed with status 0
% 0.20/0.50  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.20/0.50  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.20/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.51  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.20/0.51  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.51  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.20/0.51  # Search class: FGHSF-FFMM22-SFFFFFNN
% 0.20/0.51  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.51  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.20/0.51  # Preprocessing time       : 0.003 s
% 0.20/0.51  # Presaturation interreduction done
% 0.20/0.51  
% 0.20/0.51  # Proof found!
% 0.20/0.51  # SZS status Unsatisfiable
% 0.20/0.51  # SZS output start CNFRefutation
% See solution above
% 0.20/0.51  # Parsed axioms                        : 201
% 0.20/0.51  # Removed by relevancy pruning/SinE    : 156
% 0.20/0.51  # Initial clauses                      : 45
% 0.20/0.51  # Removed in clause preprocessing      : 0
% 0.20/0.51  # Initial clauses in saturation        : 45
% 0.20/0.51  # Processed clauses                    : 87
% 0.20/0.51  # ...of these trivial                  : 2
% 0.20/0.51  # ...subsumed                          : 2
% 0.20/0.51  # ...remaining for further processing  : 83
% 0.20/0.51  # Other redundant clauses eliminated   : 6
% 0.20/0.51  # Clauses deleted for lack of memory   : 0
% 0.20/0.51  # Backward-subsumed                    : 1
% 0.20/0.51  # Backward-rewritten                   : 11
% 0.20/0.51  # Generated clauses                    : 24
% 0.20/0.51  # ...of the previous two non-redundant : 20
% 0.20/0.51  # ...aggressively subsumed             : 0
% 0.20/0.51  # Contextual simplify-reflections      : 3
% 0.20/0.51  # Paramodulations                      : 16
% 0.20/0.51  # Factorizations                       : 0
% 0.20/0.51  # NegExts                              : 0
% 0.20/0.51  # Equation resolutions                 : 6
% 0.20/0.51  # Disequality decompositions           : 0
% 0.20/0.51  # Total rewrite steps                  : 41
% 0.20/0.51  # ...of those cached                   : 34
% 0.20/0.51  # Propositional unsat checks           : 0
% 0.20/0.51  #    Propositional check models        : 0
% 0.20/0.51  #    Propositional check unsatisfiable : 0
% 0.20/0.51  #    Propositional clauses             : 0
% 0.20/0.51  #    Propositional clauses after purity: 0
% 0.20/0.51  #    Propositional unsat core size     : 0
% 0.20/0.51  #    Propositional preprocessing time  : 0.000
% 0.20/0.51  #    Propositional encoding time       : 0.000
% 0.20/0.51  #    Propositional solver time         : 0.000
% 0.20/0.51  #    Success case prop preproc time    : 0.000
% 0.20/0.51  #    Success case prop encoding time   : 0.000
% 0.20/0.51  #    Success case prop solver time     : 0.000
% 0.20/0.51  # Current number of processed clauses  : 20
% 0.20/0.51  #    Positive orientable unit clauses  : 8
% 0.20/0.51  #    Positive unorientable unit clauses: 0
% 0.20/0.51  #    Negative unit clauses             : 1
% 0.20/0.51  #    Non-unit-clauses                  : 11
% 0.20/0.51  # Current number of unprocessed clauses: 19
% 0.20/0.51  # ...number of literals in the above   : 84
% 0.20/0.51  # Current number of archived formulas  : 0
% 0.20/0.51  # Current number of archived clauses   : 58
% 0.20/0.51  # Clause-clause subsumption calls (NU) : 415
% 0.20/0.51  # Rec. Clause-clause subsumption calls : 92
% 0.20/0.51  # Non-unit clause-clause subsumptions  : 5
% 0.20/0.51  # Unit Clause-clause subsumption calls : 6
% 0.20/0.51  # Rewrite failures with RHS unbound    : 0
% 0.20/0.51  # BW rewrite match attempts            : 1
% 0.20/0.51  # BW rewrite match successes           : 1
% 0.20/0.51  # Condensation attempts                : 0
% 0.20/0.51  # Condensation successes               : 0
% 0.20/0.51  # Termbank termtop insertions          : 3589
% 0.20/0.51  # Search garbage collected termcells   : 909
% 0.20/0.51  
% 0.20/0.51  # -------------------------------------------------
% 0.20/0.51  # User time                : 0.006 s
% 0.20/0.51  # System time              : 0.005 s
% 0.20/0.51  # Total time               : 0.011 s
% 0.20/0.51  # Maximum resident set size: 2060 pages
% 0.20/0.51  
% 0.20/0.51  # -------------------------------------------------
% 0.20/0.51  # User time                : 0.010 s
% 0.20/0.51  # System time              : 0.007 s
% 0.20/0.51  # Total time               : 0.017 s
% 0.20/0.51  # Maximum resident set size: 1876 pages
% 0.20/0.51  % E---3.1 exiting
%------------------------------------------------------------------------------