TSTP Solution File: SWC407-1 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : SWC407-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n010.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 19:40:52 EDT 2023

% Result   : Unsatisfiable 0.16s 0.45s
% Output   : CNFRefutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   14
% Syntax   : Number of clauses     :   37 (  18 unt;  14 nHn;  37 RR)
%            Number of literals    :   68 (  30 equ;  25 neg)
%            Maximal clause size   :    6 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   7 con; 0-2 aty)
%            Number of variables   :   13 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause161,axiom,
    ( memberP(X2,X3)
    | X3 = X1
    | ~ memberP(cons(X1,X2),X3)
    | ~ ssList(X2)
    | ~ ssItem(X1)
    | ~ ssItem(X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.ilX7tYL93d/E---3.1_20118.p',clause161) ).

cnf(co1_14,negated_conjecture,
    ( cons(sk6,nil) = sk3
    | nil = sk3 ),
    file('/export/starexec/sandbox2/tmp/tmp.ilX7tYL93d/E---3.1_20118.p',co1_14) ).

cnf(clause8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox2/tmp/tmp.ilX7tYL93d/E---3.1_20118.p',clause8) ).

cnf(co1_11,negated_conjecture,
    ( ssItem(sk6)
    | nil = sk3 ),
    file('/export/starexec/sandbox2/tmp/tmp.ilX7tYL93d/E---3.1_20118.p',co1_11) ).

cnf(clause71,axiom,
    ( ~ memberP(nil,X1)
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.ilX7tYL93d/E---3.1_20118.p',clause71) ).

cnf(co1_8,negated_conjecture,
    memberP(sk1,sk5),
    file('/export/starexec/sandbox2/tmp/tmp.ilX7tYL93d/E---3.1_20118.p',co1_8) ).

cnf(co1_6,negated_conjecture,
    sk1 = sk3,
    file('/export/starexec/sandbox2/tmp/tmp.ilX7tYL93d/E---3.1_20118.p',co1_6) ).

cnf(co1_9,negated_conjecture,
    ~ memberP(sk2,sk5),
    file('/export/starexec/sandbox2/tmp/tmp.ilX7tYL93d/E---3.1_20118.p',co1_9) ).

cnf(co1_5,negated_conjecture,
    sk2 = sk4,
    file('/export/starexec/sandbox2/tmp/tmp.ilX7tYL93d/E---3.1_20118.p',co1_5) ).

cnf(co1_7,negated_conjecture,
    ssItem(sk5),
    file('/export/starexec/sandbox2/tmp/tmp.ilX7tYL93d/E---3.1_20118.p',co1_7) ).

cnf(clause99,axiom,
    ( cons(X1,X2) != X2
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.ilX7tYL93d/E---3.1_20118.p',clause99) ).

cnf(co1_12,negated_conjecture,
    ( cons(sk6,nil) = sk3
    | nil = sk4 ),
    file('/export/starexec/sandbox2/tmp/tmp.ilX7tYL93d/E---3.1_20118.p',co1_12) ).

cnf(co1_10,negated_conjecture,
    ( ssItem(sk6)
    | nil = sk4 ),
    file('/export/starexec/sandbox2/tmp/tmp.ilX7tYL93d/E---3.1_20118.p',co1_10) ).

cnf(co1_15,negated_conjecture,
    ( memberP(sk4,sk6)
    | nil = sk3 ),
    file('/export/starexec/sandbox2/tmp/tmp.ilX7tYL93d/E---3.1_20118.p',co1_15) ).

cnf(c_0_14,axiom,
    ( memberP(X2,X3)
    | X3 = X1
    | ~ memberP(cons(X1,X2),X3)
    | ~ ssList(X2)
    | ~ ssItem(X1)
    | ~ ssItem(X3) ),
    clause161 ).

cnf(c_0_15,negated_conjecture,
    ( cons(sk6,nil) = sk3
    | nil = sk3 ),
    co1_14 ).

cnf(c_0_16,axiom,
    ssList(nil),
    clause8 ).

cnf(c_0_17,negated_conjecture,
    ( ssItem(sk6)
    | nil = sk3 ),
    co1_11 ).

cnf(c_0_18,axiom,
    ( ~ memberP(nil,X1)
    | ~ ssItem(X1) ),
    clause71 ).

cnf(c_0_19,negated_conjecture,
    memberP(sk1,sk5),
    co1_8 ).

cnf(c_0_20,negated_conjecture,
    sk1 = sk3,
    co1_6 ).

cnf(c_0_21,negated_conjecture,
    ~ memberP(sk2,sk5),
    co1_9 ).

cnf(c_0_22,negated_conjecture,
    sk2 = sk4,
    co1_5 ).

cnf(c_0_23,negated_conjecture,
    ( sk3 = nil
    | sk6 = X1
    | ~ memberP(sk3,X1)
    | ~ ssItem(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16])]),c_0_17]),c_0_18]) ).

cnf(c_0_24,negated_conjecture,
    memberP(sk3,sk5),
    inference(rw,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_25,negated_conjecture,
    ssItem(sk5),
    co1_7 ).

cnf(c_0_26,axiom,
    ( cons(X1,X2) != X2
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    clause99 ).

cnf(c_0_27,negated_conjecture,
    ( cons(sk6,nil) = sk3
    | nil = sk4 ),
    co1_12 ).

cnf(c_0_28,negated_conjecture,
    ( ssItem(sk6)
    | nil = sk4 ),
    co1_10 ).

cnf(c_0_29,negated_conjecture,
    ~ memberP(sk4,sk5),
    inference(rw,[status(thm)],[c_0_21,c_0_22]) ).

cnf(c_0_30,negated_conjecture,
    ( sk5 = sk6
    | sk3 = nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25])]) ).

cnf(c_0_31,negated_conjecture,
    ( memberP(sk4,sk6)
    | nil = sk3 ),
    co1_15 ).

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_26,c_0_27]),c_0_16])]),c_0_28]) ).

cnf(c_0_33,negated_conjecture,
    sk3 = nil,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31]) ).

cnf(c_0_34,negated_conjecture,
    sk4 = nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_32,c_0_33])]) ).

cnf(c_0_35,negated_conjecture,
    ~ memberP(nil,sk5),
    inference(rw,[status(thm)],[c_0_29,c_0_34]) ).

cnf(c_0_36,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_33]),c_0_35]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10  % Problem    : SWC407-1 : TPTP v8.1.2. Released v2.4.0.
% 0.06/0.11  % Command    : run_E %s %d THM
% 0.10/0.31  % Computer : n010.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 2400
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Tue Oct  3 01:52:50 EDT 2023
% 0.10/0.31  % CPUTime    : 
% 0.16/0.43  Running first-order theorem proving
% 0.16/0.43  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.ilX7tYL93d/E---3.1_20118.p
% 0.16/0.45  # Version: 3.1pre001
% 0.16/0.45  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.16/0.45  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.45  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.16/0.45  # Starting new_bool_3 with 300s (1) cores
% 0.16/0.45  # Starting new_bool_1 with 300s (1) cores
% 0.16/0.45  # Starting sh5l with 300s (1) cores
% 0.16/0.45  # new_bool_3 with pid 20197 completed with status 0
% 0.16/0.45  # Result found by new_bool_3
% 0.16/0.45  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.16/0.45  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.45  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.16/0.45  # Starting new_bool_3 with 300s (1) cores
% 0.16/0.45  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/0.45  # Search class: FGHSF-FFMM22-SFFFFFNN
% 0.16/0.45  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.45  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.16/0.45  # SAT001_MinMin_p005000_rr_RG with pid 20200 completed with status 0
% 0.16/0.45  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.16/0.45  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.16/0.45  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.45  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.16/0.45  # Starting new_bool_3 with 300s (1) cores
% 0.16/0.45  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/0.45  # Search class: FGHSF-FFMM22-SFFFFFNN
% 0.16/0.45  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.45  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.16/0.45  # Preprocessing time       : 0.002 s
% 0.16/0.45  # Presaturation interreduction done
% 0.16/0.45  
% 0.16/0.45  # Proof found!
% 0.16/0.45  # SZS status Unsatisfiable
% 0.16/0.45  # SZS output start CNFRefutation
% See solution above
% 0.16/0.45  # Parsed axioms                        : 200
% 0.16/0.45  # Removed by relevancy pruning/SinE    : 160
% 0.16/0.45  # Initial clauses                      : 40
% 0.16/0.45  # Removed in clause preprocessing      : 0
% 0.16/0.45  # Initial clauses in saturation        : 40
% 0.16/0.45  # Processed clauses                    : 112
% 0.16/0.45  # ...of these trivial                  : 2
% 0.16/0.45  # ...subsumed                          : 11
% 0.16/0.45  # ...remaining for further processing  : 98
% 0.16/0.45  # Other redundant clauses eliminated   : 8
% 0.16/0.45  # Clauses deleted for lack of memory   : 0
% 0.16/0.45  # Backward-subsumed                    : 0
% 0.16/0.45  # Backward-rewritten                   : 21
% 0.16/0.45  # Generated clauses                    : 135
% 0.16/0.45  # ...of the previous two non-redundant : 111
% 0.16/0.45  # ...aggressively subsumed             : 0
% 0.16/0.45  # Contextual simplify-reflections      : 12
% 0.16/0.45  # Paramodulations                      : 124
% 0.16/0.45  # Factorizations                       : 0
% 0.16/0.45  # NegExts                              : 0
% 0.16/0.45  # Equation resolutions                 : 12
% 0.16/0.45  # Total rewrite steps                  : 120
% 0.16/0.45  # Propositional unsat checks           : 0
% 0.16/0.45  #    Propositional check models        : 0
% 0.16/0.45  #    Propositional check unsatisfiable : 0
% 0.16/0.45  #    Propositional clauses             : 0
% 0.16/0.45  #    Propositional clauses after purity: 0
% 0.16/0.45  #    Propositional unsat core size     : 0
% 0.16/0.45  #    Propositional preprocessing time  : 0.000
% 0.16/0.45  #    Propositional encoding time       : 0.000
% 0.16/0.45  #    Propositional solver time         : 0.000
% 0.16/0.45  #    Success case prop preproc time    : 0.000
% 0.16/0.45  #    Success case prop encoding time   : 0.000
% 0.16/0.45  #    Success case prop solver time     : 0.000
% 0.16/0.45  # Current number of processed clauses  : 36
% 0.16/0.45  #    Positive orientable unit clauses  : 7
% 0.16/0.45  #    Positive unorientable unit clauses: 0
% 0.16/0.45  #    Negative unit clauses             : 1
% 0.16/0.45  #    Non-unit-clauses                  : 28
% 0.16/0.45  # Current number of unprocessed clauses: 77
% 0.16/0.45  # ...number of literals in the above   : 401
% 0.16/0.45  # Current number of archived formulas  : 0
% 0.16/0.45  # Current number of archived clauses   : 59
% 0.16/0.45  # Clause-clause subsumption calls (NU) : 256
% 0.16/0.45  # Rec. Clause-clause subsumption calls : 101
% 0.16/0.45  # Non-unit clause-clause subsumptions  : 23
% 0.16/0.45  # Unit Clause-clause subsumption calls : 8
% 0.16/0.45  # Rewrite failures with RHS unbound    : 0
% 0.16/0.45  # BW rewrite match attempts            : 2
% 0.16/0.45  # BW rewrite match successes           : 2
% 0.16/0.45  # Condensation attempts                : 0
% 0.16/0.45  # Condensation successes               : 0
% 0.16/0.45  # Termbank termtop insertions          : 4764
% 0.16/0.45  
% 0.16/0.45  # -------------------------------------------------
% 0.16/0.45  # User time                : 0.009 s
% 0.16/0.45  # System time              : 0.001 s
% 0.16/0.45  # Total time               : 0.010 s
% 0.16/0.45  # Maximum resident set size: 1960 pages
% 0.16/0.45  
% 0.16/0.45  # -------------------------------------------------
% 0.16/0.45  # User time                : 0.013 s
% 0.16/0.45  # System time              : 0.003 s
% 0.16/0.45  # Total time               : 0.016 s
% 0.16/0.45  # Maximum resident set size: 1852 pages
% 0.16/0.45  % E---3.1 exiting
% 0.16/0.45  % E---3.1 exiting
%------------------------------------------------------------------------------