TSTP Solution File: SWC256-1 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : SWC256-1 : TPTP v8.2.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n016.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 04:28:40 EDT 2024

% Result   : Unsatisfiable 0.21s 0.50s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   13
% Syntax   : Number of clauses     :   40 (  20 unt;   8 nHn;  40 RR)
%            Number of literals    :   76 (  29 equ;  39 neg)
%            Maximal clause size   :    4 (   1 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   :   20 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause116,axiom,
    ( singletonP(X2)
    | cons(X1,nil) != X2
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause116) ).

cnf(co1_8,negated_conjecture,
    ~ singletonP(sk1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).

cnf(clause99,axiom,
    ( cons(X1,X2) != X2
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause99) ).

cnf(co1_1,negated_conjecture,
    ssList(sk1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_1) ).

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

cnf(co1_11,negated_conjecture,
    ( cons(sk5,nil) = sk3
    | nil = sk4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).

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

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

cnf(co1_13,negated_conjecture,
    ( cons(sk5,nil) = sk3
    | nil = sk3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).

cnf(co1_10,negated_conjecture,
    ( ssItem(sk5)
    | nil = sk3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).

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

cnf(co1_7,negated_conjecture,
    neq(sk2,nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).

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

cnf(c_0_13,plain,
    ( singletonP(X2)
    | cons(X1,nil) != X2
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    inference(fof_simplification,[status(thm)],[clause116]) ).

cnf(c_0_14,negated_conjecture,
    ~ singletonP(sk1),
    inference(fof_simplification,[status(thm)],[co1_8]) ).

cnf(c_0_15,plain,
    ( cons(X1,X2) != X2
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    inference(fof_simplification,[status(thm)],[clause99]) ).

cnf(c_0_16,plain,
    ( singletonP(X2)
    | cons(X1,nil) != X2
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    c_0_13 ).

cnf(c_0_17,negated_conjecture,
    ssList(sk1),
    co1_1 ).

cnf(c_0_18,negated_conjecture,
    sk1 = sk3,
    co1_6 ).

cnf(c_0_19,negated_conjecture,
    ~ singletonP(sk1),
    c_0_14 ).

cnf(c_0_20,plain,
    ( cons(X1,X2) != X2
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    c_0_15 ).

cnf(c_0_21,negated_conjecture,
    ( cons(sk5,nil) = sk3
    | nil = sk4 ),
    co1_11 ).

cnf(c_0_22,axiom,
    ssList(nil),
    clause8 ).

cnf(c_0_23,negated_conjecture,
    ( ssItem(sk5)
    | nil = sk4 ),
    co1_9 ).

cnf(c_0_24,plain,
    ( singletonP(cons(X1,nil))
    | ~ ssItem(X1)
    | ~ ssList(cons(X1,nil)) ),
    inference(er,[status(thm)],[c_0_16]) ).

cnf(c_0_25,negated_conjecture,
    ( cons(sk5,nil) = sk3
    | nil = sk3 ),
    co1_13 ).

cnf(c_0_26,negated_conjecture,
    ssList(sk3),
    inference(rw,[status(thm)],[c_0_17,c_0_18]) ).

cnf(c_0_27,negated_conjecture,
    ~ singletonP(sk3),
    inference(rw,[status(thm)],[c_0_19,c_0_18]) ).

cnf(c_0_28,negated_conjecture,
    ( ssItem(sk5)
    | nil = sk3 ),
    co1_10 ).

cnf(c_0_29,plain,
    ( X1 != X2
    | ~ neq(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(fof_simplification,[status(thm)],[clause115]) ).

cnf(c_0_30,negated_conjecture,
    neq(sk2,nil),
    co1_7 ).

cnf(c_0_31,negated_conjecture,
    sk2 = sk4,
    co1_5 ).

cnf(c_0_32,negated_conjecture,
    ( sk4 = nil
    | sk3 != nil ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22])]),c_0_23]) ).

cnf(c_0_33,negated_conjecture,
    sk3 = nil,
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26])]),c_0_27]),c_0_28]) ).

cnf(c_0_34,plain,
    ( X1 != X2
    | ~ neq(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    c_0_29 ).

cnf(c_0_35,negated_conjecture,
    neq(sk4,nil),
    inference(rw,[status(thm)],[c_0_30,c_0_31]) ).

cnf(c_0_36,negated_conjecture,
    sk4 = nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_32,c_0_33])]) ).

cnf(c_0_37,plain,
    ( ~ neq(X1,X1)
    | ~ ssList(X1) ),
    inference(er,[status(thm)],[c_0_34]) ).

cnf(c_0_38,negated_conjecture,
    neq(nil,nil),
    inference(rw,[status(thm)],[c_0_35,c_0_36]) ).

cnf(c_0_39,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_22])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : SWC256-1 : TPTP v8.2.0. Released v2.4.0.
% 0.06/0.14  % Command    : run_E %s %d THM
% 0.15/0.35  % Computer : n016.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Sun May 19 03:32:53 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.21/0.48  Running first-order model finding
% 0.21/0.48  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
% 0.21/0.50  # Version: 3.1.0
% 0.21/0.50  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.21/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.50  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.21/0.50  # Starting new_bool_3 with 300s (1) cores
% 0.21/0.50  # Starting new_bool_1 with 300s (1) cores
% 0.21/0.50  # Starting sh5l with 300s (1) cores
% 0.21/0.50  # new_bool_3 with pid 23495 completed with status 0
% 0.21/0.50  # Result found by new_bool_3
% 0.21/0.50  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.21/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.50  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.21/0.50  # Starting new_bool_3 with 300s (1) cores
% 0.21/0.50  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.21/0.50  # Search class: FGHSF-FFMM22-SFFFFFNN
% 0.21/0.50  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.50  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.21/0.50  # SAT001_MinMin_p005000_rr_RG with pid 23498 completed with status 0
% 0.21/0.50  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.21/0.50  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.21/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.50  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.21/0.50  # Starting new_bool_3 with 300s (1) cores
% 0.21/0.50  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.21/0.50  # Search class: FGHSF-FFMM22-SFFFFFNN
% 0.21/0.50  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.50  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.21/0.50  # Preprocessing time       : 0.003 s
% 0.21/0.50  # Presaturation interreduction done
% 0.21/0.50  
% 0.21/0.50  # Proof found!
% 0.21/0.50  # SZS status Unsatisfiable
% 0.21/0.50  # SZS output start CNFRefutation
% See solution above
% 0.21/0.50  # Parsed axioms                        : 199
% 0.21/0.50  # Removed by relevancy pruning/SinE    : 154
% 0.21/0.50  # Initial clauses                      : 45
% 0.21/0.50  # Removed in clause preprocessing      : 0
% 0.21/0.50  # Initial clauses in saturation        : 45
% 0.21/0.50  # Processed clauses                    : 86
% 0.21/0.50  # ...of these trivial                  : 2
% 0.21/0.50  # ...subsumed                          : 2
% 0.21/0.50  # ...remaining for further processing  : 82
% 0.21/0.50  # Other redundant clauses eliminated   : 7
% 0.21/0.50  # Clauses deleted for lack of memory   : 0
% 0.21/0.50  # Backward-subsumed                    : 0
% 0.21/0.50  # Backward-rewritten                   : 13
% 0.21/0.50  # Generated clauses                    : 21
% 0.21/0.50  # ...of the previous two non-redundant : 16
% 0.21/0.50  # ...aggressively subsumed             : 0
% 0.21/0.50  # Contextual simplify-reflections      : 2
% 0.21/0.50  # Paramodulations                      : 15
% 0.21/0.50  # Factorizations                       : 0
% 0.21/0.50  # NegExts                              : 0
% 0.21/0.50  # Equation resolutions                 : 7
% 0.21/0.50  # Disequality decompositions           : 0
% 0.21/0.50  # Total rewrite steps                  : 41
% 0.21/0.50  # ...of those cached                   : 34
% 0.21/0.50  # Propositional unsat checks           : 0
% 0.21/0.50  #    Propositional check models        : 0
% 0.21/0.50  #    Propositional check unsatisfiable : 0
% 0.21/0.50  #    Propositional clauses             : 0
% 0.21/0.50  #    Propositional clauses after purity: 0
% 0.21/0.50  #    Propositional unsat core size     : 0
% 0.21/0.50  #    Propositional preprocessing time  : 0.000
% 0.21/0.50  #    Propositional encoding time       : 0.000
% 0.21/0.50  #    Propositional solver time         : 0.000
% 0.21/0.50  #    Success case prop preproc time    : 0.000
% 0.21/0.50  #    Success case prop encoding time   : 0.000
% 0.21/0.50  #    Success case prop solver time     : 0.000
% 0.21/0.50  # Current number of processed clauses  : 20
% 0.21/0.50  #    Positive orientable unit clauses  : 7
% 0.21/0.50  #    Positive unorientable unit clauses: 0
% 0.21/0.50  #    Negative unit clauses             : 1
% 0.21/0.50  #    Non-unit-clauses                  : 12
% 0.21/0.50  # Current number of unprocessed clauses: 17
% 0.21/0.50  # ...number of literals in the above   : 78
% 0.21/0.50  # Current number of archived formulas  : 0
% 0.21/0.50  # Current number of archived clauses   : 56
% 0.21/0.50  # Clause-clause subsumption calls (NU) : 398
% 0.21/0.50  # Rec. Clause-clause subsumption calls : 83
% 0.21/0.50  # Non-unit clause-clause subsumptions  : 3
% 0.21/0.50  # Unit Clause-clause subsumption calls : 7
% 0.21/0.50  # Rewrite failures with RHS unbound    : 0
% 0.21/0.50  # BW rewrite match attempts            : 2
% 0.21/0.50  # BW rewrite match successes           : 2
% 0.21/0.50  # Condensation attempts                : 0
% 0.21/0.50  # Condensation successes               : 0
% 0.21/0.50  # Termbank termtop insertions          : 3476
% 0.21/0.50  # Search garbage collected termcells   : 897
% 0.21/0.50  
% 0.21/0.50  # -------------------------------------------------
% 0.21/0.50  # User time                : 0.008 s
% 0.21/0.50  # System time              : 0.003 s
% 0.21/0.50  # Total time               : 0.011 s
% 0.21/0.50  # Maximum resident set size: 2064 pages
% 0.21/0.50  
% 0.21/0.50  # -------------------------------------------------
% 0.21/0.50  # User time                : 0.011 s
% 0.21/0.50  # System time              : 0.006 s
% 0.21/0.50  # Total time               : 0.017 s
% 0.21/0.50  # Maximum resident set size: 1876 pages
% 0.21/0.50  % E---3.1 exiting
%------------------------------------------------------------------------------