TSTP Solution File: SWC389-1 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : SWC389-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n014.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 19:40:46 EDT 2023

% Result   : Unsatisfiable 0.17s 0.49s
% Output   : CNFRefutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   19
% Syntax   : Number of clauses     :   53 (  15 unt;  15 nHn;  53 RR)
%            Number of literals    :  116 (  41 equ;  57 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   8 con; 0-2 aty)
%            Number of variables   :   27 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause116,axiom,
    ( singletonP(X2)
    | cons(X1,nil) != X2
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.FN8HaoO66U/E---3.1_29280.p',clause116) ).

cnf(co1_1,negated_conjecture,
    ssList(sk1),
    file('/export/starexec/sandbox2/tmp/tmp.FN8HaoO66U/E---3.1_29280.p',co1_1) ).

cnf(co1_6,negated_conjecture,
    sk1 = sk3,
    file('/export/starexec/sandbox2/tmp/tmp.FN8HaoO66U/E---3.1_29280.p',co1_6) ).

cnf(co1_21,negated_conjecture,
    ( neq(sk2,nil)
    | ~ segmentP(sk2,sk1) ),
    file('/export/starexec/sandbox2/tmp/tmp.FN8HaoO66U/E---3.1_29280.p',co1_21) ).

cnf(co1_5,negated_conjecture,
    sk2 = sk4,
    file('/export/starexec/sandbox2/tmp/tmp.FN8HaoO66U/E---3.1_29280.p',co1_5) ).

cnf(clause99,axiom,
    ( cons(X1,X2) != X2
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.FN8HaoO66U/E---3.1_29280.p',clause99) ).

cnf(co1_11,negated_conjecture,
    ( cons(sk5,nil) = sk3
    | nil = sk4 ),
    file('/export/starexec/sandbox2/tmp/tmp.FN8HaoO66U/E---3.1_29280.p',co1_11) ).

cnf(clause8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox2/tmp/tmp.FN8HaoO66U/E---3.1_29280.p',clause8) ).

cnf(co1_7,negated_conjecture,
    ( ssItem(sk5)
    | nil = sk4 ),
    file('/export/starexec/sandbox2/tmp/tmp.FN8HaoO66U/E---3.1_29280.p',co1_7) ).

cnf(co1_22,negated_conjecture,
    ( ~ segmentP(sk2,sk1)
    | ~ singletonP(sk1) ),
    file('/export/starexec/sandbox2/tmp/tmp.FN8HaoO66U/E---3.1_29280.p',co1_22) ).

cnf(co1_17,negated_conjecture,
    ( cons(sk5,nil) = sk3
    | nil = sk3 ),
    file('/export/starexec/sandbox2/tmp/tmp.FN8HaoO66U/E---3.1_29280.p',co1_17) ).

cnf(co1_8,negated_conjecture,
    ( ssItem(sk5)
    | nil = sk3 ),
    file('/export/starexec/sandbox2/tmp/tmp.FN8HaoO66U/E---3.1_29280.p',co1_8) ).

cnf(clause115,axiom,
    ( X1 != X2
    | ~ neq(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.FN8HaoO66U/E---3.1_29280.p',clause115) ).

cnf(clause173,axiom,
    ( segmentP(X4,X2)
    | app(app(X1,X2),X3) != X4
    | ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X4) ),
    file('/export/starexec/sandbox2/tmp/tmp.FN8HaoO66U/E---3.1_29280.p',clause173) ).

cnf(co1_2,negated_conjecture,
    ssList(sk2),
    file('/export/starexec/sandbox2/tmp/tmp.FN8HaoO66U/E---3.1_29280.p',co1_2) ).

cnf(co1_18,negated_conjecture,
    ( app(app(sk6,sk3),sk7) = sk4
    | nil = sk3 ),
    file('/export/starexec/sandbox2/tmp/tmp.FN8HaoO66U/E---3.1_29280.p',co1_18) ).

cnf(co1_15,negated_conjecture,
    ( ssList(sk6)
    | nil = sk3 ),
    file('/export/starexec/sandbox2/tmp/tmp.FN8HaoO66U/E---3.1_29280.p',co1_15) ).

cnf(co1_16,negated_conjecture,
    ( ssList(sk7)
    | nil = sk3 ),
    file('/export/starexec/sandbox2/tmp/tmp.FN8HaoO66U/E---3.1_29280.p',co1_16) ).

cnf(clause79,axiom,
    ( segmentP(nil,X1)
    | nil != X1
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.FN8HaoO66U/E---3.1_29280.p',clause79) ).

cnf(c_0_19,axiom,
    ( singletonP(X2)
    | cons(X1,nil) != X2
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    clause116 ).

cnf(c_0_20,negated_conjecture,
    ssList(sk1),
    co1_1 ).

cnf(c_0_21,negated_conjecture,
    sk1 = sk3,
    co1_6 ).

cnf(c_0_22,negated_conjecture,
    ( neq(sk2,nil)
    | ~ segmentP(sk2,sk1) ),
    co1_21 ).

cnf(c_0_23,negated_conjecture,
    sk2 = sk4,
    co1_5 ).

cnf(c_0_24,axiom,
    ( cons(X1,X2) != X2
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    clause99 ).

cnf(c_0_25,negated_conjecture,
    ( cons(sk5,nil) = sk3
    | nil = sk4 ),
    co1_11 ).

cnf(c_0_26,axiom,
    ssList(nil),
    clause8 ).

cnf(c_0_27,negated_conjecture,
    ( ssItem(sk5)
    | nil = sk4 ),
    co1_7 ).

cnf(c_0_28,negated_conjecture,
    ( ~ segmentP(sk2,sk1)
    | ~ singletonP(sk1) ),
    co1_22 ).

cnf(c_0_29,plain,
    ( singletonP(cons(X1,nil))
    | ~ ssItem(X1)
    | ~ ssList(cons(X1,nil)) ),
    inference(er,[status(thm)],[c_0_19]) ).

cnf(c_0_30,negated_conjecture,
    ( cons(sk5,nil) = sk3
    | nil = sk3 ),
    co1_17 ).

cnf(c_0_31,negated_conjecture,
    ssList(sk3),
    inference(rw,[status(thm)],[c_0_20,c_0_21]) ).

cnf(c_0_32,negated_conjecture,
    ( ssItem(sk5)
    | nil = sk3 ),
    co1_8 ).

cnf(c_0_33,axiom,
    ( X1 != X2
    | ~ neq(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    clause115 ).

cnf(c_0_34,negated_conjecture,
    ( neq(sk4,nil)
    | ~ segmentP(sk4,sk3) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_22,c_0_23]),c_0_23]),c_0_21]) ).

cnf(c_0_35,negated_conjecture,
    ( sk4 = nil
    | sk3 != nil ),
    inference(csr,[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]) ).

cnf(c_0_36,axiom,
    ( segmentP(X4,X2)
    | app(app(X1,X2),X3) != X4
    | ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X4) ),
    clause173 ).

cnf(c_0_37,negated_conjecture,
    ssList(sk2),
    co1_2 ).

cnf(c_0_38,negated_conjecture,
    ( ~ segmentP(sk4,sk3)
    | ~ singletonP(sk3) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_28,c_0_21]),c_0_23]),c_0_21]) ).

cnf(c_0_39,negated_conjecture,
    ( sk3 = nil
    | singletonP(sk3) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31])]),c_0_32]) ).

cnf(c_0_40,plain,
    ( ~ neq(X1,X1)
    | ~ ssList(X1) ),
    inference(er,[status(thm)],[c_0_33]) ).

cnf(c_0_41,negated_conjecture,
    ( neq(nil,nil)
    | sk3 != nil
    | ~ segmentP(nil,sk3) ),
    inference(spm,[status(thm)],[c_0_34,c_0_35]) ).

cnf(c_0_42,plain,
    ( segmentP(app(app(X1,X2),X3),X2)
    | ~ ssList(app(app(X1,X2),X3))
    | ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(er,[status(thm)],[c_0_36]) ).

cnf(c_0_43,negated_conjecture,
    ( app(app(sk6,sk3),sk7) = sk4
    | nil = sk3 ),
    co1_18 ).

cnf(c_0_44,negated_conjecture,
    ssList(sk4),
    inference(rw,[status(thm)],[c_0_37,c_0_23]) ).

cnf(c_0_45,negated_conjecture,
    ( ssList(sk6)
    | nil = sk3 ),
    co1_15 ).

cnf(c_0_46,negated_conjecture,
    ( ssList(sk7)
    | nil = sk3 ),
    co1_16 ).

cnf(c_0_47,negated_conjecture,
    ( sk3 = nil
    | ~ segmentP(sk4,sk3) ),
    inference(spm,[status(thm)],[c_0_38,c_0_39]) ).

cnf(c_0_48,axiom,
    ( segmentP(nil,X1)
    | nil != X1
    | ~ ssList(X1) ),
    clause79 ).

cnf(c_0_49,negated_conjecture,
    ( sk3 != nil
    | ~ segmentP(nil,sk3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_26])]) ).

cnf(c_0_50,negated_conjecture,
    sk3 = nil,
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_44]),c_0_31])]),c_0_45]),c_0_46]),c_0_47]) ).

cnf(c_0_51,plain,
    segmentP(nil,nil),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_48]),c_0_26])]) ).

cnf(c_0_52,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_49,c_0_50]),c_0_50]),c_0_51])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : SWC389-1 : TPTP v8.1.2. Released v2.4.0.
% 0.10/0.13  % Command    : run_E %s %d THM
% 0.12/0.33  % Computer : n014.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 2400
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Oct  3 01:44:34 EDT 2023
% 0.12/0.33  % CPUTime    : 
% 0.17/0.46  Running first-order theorem proving
% 0.17/0.46  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/tmp/tmp.FN8HaoO66U/E---3.1_29280.p
% 0.17/0.49  # Version: 3.1pre001
% 0.17/0.49  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.17/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.49  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.17/0.49  # Starting new_bool_3 with 300s (1) cores
% 0.17/0.49  # Starting new_bool_1 with 300s (1) cores
% 0.17/0.49  # Starting sh5l with 300s (1) cores
% 0.17/0.49  # new_bool_3 with pid 29359 completed with status 0
% 0.17/0.49  # Result found by new_bool_3
% 0.17/0.49  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.17/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.49  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.17/0.49  # Starting new_bool_3 with 300s (1) cores
% 0.17/0.49  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.17/0.49  # Search class: FGHSF-FFMM22-SFFFFFNN
% 0.17/0.49  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.49  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.17/0.49  # SAT001_MinMin_p005000_rr_RG with pid 29362 completed with status 0
% 0.17/0.49  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.17/0.49  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.17/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.49  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.17/0.49  # Starting new_bool_3 with 300s (1) cores
% 0.17/0.49  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.17/0.49  # Search class: FGHSF-FFMM22-SFFFFFNN
% 0.17/0.49  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.49  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.17/0.49  # Preprocessing time       : 0.004 s
% 0.17/0.49  # Presaturation interreduction done
% 0.17/0.49  
% 0.17/0.49  # Proof found!
% 0.17/0.49  # SZS status Unsatisfiable
% 0.17/0.49  # SZS output start CNFRefutation
% See solution above
% 0.17/0.49  # Parsed axioms                        : 207
% 0.17/0.49  # Removed by relevancy pruning/SinE    : 135
% 0.17/0.49  # Initial clauses                      : 72
% 0.17/0.49  # Removed in clause preprocessing      : 0
% 0.17/0.49  # Initial clauses in saturation        : 72
% 0.17/0.49  # Processed clauses                    : 227
% 0.17/0.49  # ...of these trivial                  : 2
% 0.17/0.49  # ...subsumed                          : 34
% 0.17/0.49  # ...remaining for further processing  : 191
% 0.17/0.49  # Other redundant clauses eliminated   : 14
% 0.17/0.49  # Clauses deleted for lack of memory   : 0
% 0.17/0.49  # Backward-subsumed                    : 8
% 0.17/0.49  # Backward-rewritten                   : 38
% 0.17/0.49  # Generated clauses                    : 366
% 0.17/0.49  # ...of the previous two non-redundant : 279
% 0.17/0.49  # ...aggressively subsumed             : 0
% 0.17/0.49  # Contextual simplify-reflections      : 32
% 0.17/0.49  # Paramodulations                      : 349
% 0.17/0.49  # Factorizations                       : 0
% 0.17/0.49  # NegExts                              : 0
% 0.17/0.49  # Equation resolutions                 : 18
% 0.17/0.49  # Total rewrite steps                  : 313
% 0.17/0.49  # Propositional unsat checks           : 0
% 0.17/0.49  #    Propositional check models        : 0
% 0.17/0.49  #    Propositional check unsatisfiable : 0
% 0.17/0.49  #    Propositional clauses             : 0
% 0.17/0.49  #    Propositional clauses after purity: 0
% 0.17/0.49  #    Propositional unsat core size     : 0
% 0.17/0.49  #    Propositional preprocessing time  : 0.000
% 0.17/0.49  #    Propositional encoding time       : 0.000
% 0.17/0.49  #    Propositional solver time         : 0.000
% 0.17/0.49  #    Success case prop preproc time    : 0.000
% 0.17/0.49  #    Success case prop encoding time   : 0.000
% 0.17/0.49  #    Success case prop solver time     : 0.000
% 0.17/0.49  # Current number of processed clauses  : 68
% 0.17/0.49  #    Positive orientable unit clauses  : 6
% 0.17/0.49  #    Positive unorientable unit clauses: 0
% 0.17/0.49  #    Negative unit clauses             : 1
% 0.17/0.49  #    Non-unit-clauses                  : 61
% 0.17/0.49  # Current number of unprocessed clauses: 176
% 0.17/0.49  # ...number of literals in the above   : 971
% 0.17/0.49  # Current number of archived formulas  : 0
% 0.17/0.49  # Current number of archived clauses   : 114
% 0.17/0.49  # Clause-clause subsumption calls (NU) : 2291
% 0.17/0.49  # Rec. Clause-clause subsumption calls : 539
% 0.17/0.49  # Non-unit clause-clause subsumptions  : 74
% 0.17/0.49  # Unit Clause-clause subsumption calls : 3
% 0.17/0.49  # Rewrite failures with RHS unbound    : 0
% 0.17/0.49  # BW rewrite match attempts            : 1
% 0.17/0.49  # BW rewrite match successes           : 1
% 0.17/0.49  # Condensation attempts                : 0
% 0.17/0.49  # Condensation successes               : 0
% 0.17/0.49  # Termbank termtop insertions          : 9288
% 0.17/0.49  
% 0.17/0.49  # -------------------------------------------------
% 0.17/0.49  # User time                : 0.018 s
% 0.17/0.49  # System time              : 0.003 s
% 0.17/0.49  # Total time               : 0.021 s
% 0.17/0.49  # Maximum resident set size: 2008 pages
% 0.17/0.49  
% 0.17/0.49  # -------------------------------------------------
% 0.17/0.49  # User time                : 0.022 s
% 0.17/0.49  # System time              : 0.004 s
% 0.17/0.49  # Total time               : 0.026 s
% 0.17/0.49  # Maximum resident set size: 1856 pages
% 0.17/0.49  % E---3.1 exiting
% 0.17/0.49  % E---3.1 exiting
%------------------------------------------------------------------------------