TSTP Solution File: SWC189-1 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : SWC189-1 : TPTP v8.2.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n007.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 04:28:13 EDT 2024

% Result   : Unsatisfiable 0.16s 0.47s
% Output   : CNFRefutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   20 (  16 unt;   0 nHn;  20 RR)
%            Number of literals    :   40 (  15 equ;  23 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-2 aty)
%            Number of variables   :   16 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(co1_7,negated_conjecture,
    ( X1 = X2
    | ~ ssItem(X1)
    | ~ ssItem(X2)
    | ~ ssList(X3)
    | ~ ssList(X4)
    | app(app(app(X3,cons(X1,nil)),cons(X2,nil)),X4) != sk3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

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

cnf(co1_13,negated_conjecture,
    sk5 != sk6,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).

cnf(co1_12,negated_conjecture,
    app(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),sk8) = sk1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).

cnf(co1_9,negated_conjecture,
    ssItem(sk6),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).

cnf(co1_8,negated_conjecture,
    ssItem(sk5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

cnf(co1_11,negated_conjecture,
    ssList(sk8),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).

cnf(co1_10,negated_conjecture,
    ssList(sk7),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).

cnf(c_0_8,negated_conjecture,
    ( X1 = X2
    | ~ ssItem(X1)
    | ~ ssItem(X2)
    | ~ ssList(X3)
    | ~ ssList(X4)
    | app(app(app(X3,cons(X1,nil)),cons(X2,nil)),X4) != sk3 ),
    inference(fof_simplification,[status(thm)],[co1_7]) ).

cnf(c_0_9,negated_conjecture,
    ( X1 = X2
    | ~ ssItem(X1)
    | ~ ssItem(X2)
    | ~ ssList(X3)
    | ~ ssList(X4)
    | app(app(app(X3,cons(X1,nil)),cons(X2,nil)),X4) != sk3 ),
    c_0_8 ).

cnf(c_0_10,negated_conjecture,
    sk1 = sk3,
    co1_6 ).

cnf(c_0_11,negated_conjecture,
    sk5 != sk6,
    inference(fof_simplification,[status(thm)],[co1_13]) ).

cnf(c_0_12,negated_conjecture,
    ( X1 = X2
    | app(app(app(X3,cons(X1,nil)),cons(X2,nil)),X4) != sk1
    | ~ ssItem(X2)
    | ~ ssItem(X1)
    | ~ ssList(X4)
    | ~ ssList(X3) ),
    inference(rw,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_13,negated_conjecture,
    app(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),sk8) = sk1,
    co1_12 ).

cnf(c_0_14,negated_conjecture,
    ssItem(sk6),
    co1_9 ).

cnf(c_0_15,negated_conjecture,
    ssItem(sk5),
    co1_8 ).

cnf(c_0_16,negated_conjecture,
    ssList(sk8),
    co1_11 ).

cnf(c_0_17,negated_conjecture,
    ssList(sk7),
    co1_10 ).

cnf(c_0_18,negated_conjecture,
    sk5 != sk6,
    c_0_11 ).

cnf(c_0_19,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14]),c_0_15]),c_0_16]),c_0_17])]),c_0_18]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10  % Problem    : SWC189-1 : TPTP v8.2.0. Released v2.4.0.
% 0.03/0.11  % Command    : run_E %s %d THM
% 0.11/0.31  % Computer : n007.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit   : 300
% 0.11/0.31  % WCLimit    : 300
% 0.11/0.31  % DateTime   : Sun May 19 03:52:22 EDT 2024
% 0.11/0.31  % CPUTime    : 
% 0.16/0.44  Running first-order model finding
% 0.16/0.44  Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 0.16/0.47  # Version: 3.1.0
% 0.16/0.47  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.16/0.47  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.47  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.16/0.47  # Starting new_bool_3 with 300s (1) cores
% 0.16/0.47  # Starting new_bool_1 with 300s (1) cores
% 0.16/0.47  # Starting sh5l with 300s (1) cores
% 0.16/0.47  # new_bool_3 with pid 8248 completed with status 0
% 0.16/0.47  # Result found by new_bool_3
% 0.16/0.47  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.16/0.47  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.47  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.16/0.47  # Starting new_bool_3 with 300s (1) cores
% 0.16/0.47  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/0.47  # Search class: FHHSF-FFMM22-MFFFFFNN
% 0.16/0.47  # partial match(1): FHHSF-FFMM22-SFFFFFNN
% 0.16/0.47  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.47  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.16/0.47  # SAT001_MinMin_p005000_rr_RG with pid 8251 completed with status 0
% 0.16/0.47  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.16/0.47  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.16/0.47  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.47  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.16/0.47  # Starting new_bool_3 with 300s (1) cores
% 0.16/0.47  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/0.47  # Search class: FHHSF-FFMM22-MFFFFFNN
% 0.16/0.47  # partial match(1): FHHSF-FFMM22-SFFFFFNN
% 0.16/0.47  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.47  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.16/0.47  # Preprocessing time       : 0.006 s
% 0.16/0.47  # Presaturation interreduction done
% 0.16/0.47  
% 0.16/0.47  # Proof found!
% 0.16/0.47  # SZS status Unsatisfiable
% 0.16/0.47  # SZS output start CNFRefutation
% See solution above
% 0.16/0.47  # Parsed axioms                        : 198
% 0.16/0.47  # Removed by relevancy pruning/SinE    : 168
% 0.16/0.47  # Initial clauses                      : 30
% 0.16/0.47  # Removed in clause preprocessing      : 0
% 0.16/0.47  # Initial clauses in saturation        : 30
% 0.16/0.47  # Processed clauses                    : 61
% 0.16/0.47  # ...of these trivial                  : 2
% 0.16/0.47  # ...subsumed                          : 0
% 0.16/0.47  # ...remaining for further processing  : 59
% 0.16/0.47  # Other redundant clauses eliminated   : 6
% 0.16/0.47  # Clauses deleted for lack of memory   : 0
% 0.16/0.47  # Backward-subsumed                    : 4
% 0.16/0.47  # Backward-rewritten                   : 0
% 0.16/0.47  # Generated clauses                    : 50
% 0.16/0.47  # ...of the previous two non-redundant : 36
% 0.16/0.47  # ...aggressively subsumed             : 0
% 0.16/0.47  # Contextual simplify-reflections      : 0
% 0.16/0.47  # Paramodulations                      : 43
% 0.16/0.47  # Factorizations                       : 0
% 0.16/0.47  # NegExts                              : 0
% 0.16/0.47  # Equation resolutions                 : 8
% 0.16/0.47  # Disequality decompositions           : 0
% 0.16/0.47  # Total rewrite steps                  : 44
% 0.16/0.47  # ...of those cached                   : 35
% 0.16/0.47  # Propositional unsat checks           : 0
% 0.16/0.47  #    Propositional check models        : 0
% 0.16/0.47  #    Propositional check unsatisfiable : 0
% 0.16/0.47  #    Propositional clauses             : 0
% 0.16/0.47  #    Propositional clauses after purity: 0
% 0.16/0.47  #    Propositional unsat core size     : 0
% 0.16/0.47  #    Propositional preprocessing time  : 0.000
% 0.16/0.47  #    Propositional encoding time       : 0.000
% 0.16/0.47  #    Propositional solver time         : 0.000
% 0.16/0.47  #    Success case prop preproc time    : 0.000
% 0.16/0.47  #    Success case prop encoding time   : 0.000
% 0.16/0.47  #    Success case prop solver time     : 0.000
% 0.16/0.47  # Current number of processed clauses  : 26
% 0.16/0.47  #    Positive orientable unit clauses  : 11
% 0.16/0.47  #    Positive unorientable unit clauses: 0
% 0.16/0.47  #    Negative unit clauses             : 1
% 0.16/0.47  #    Non-unit-clauses                  : 14
% 0.16/0.47  # Current number of unprocessed clauses: 30
% 0.16/0.47  # ...number of literals in the above   : 123
% 0.16/0.47  # Current number of archived formulas  : 0
% 0.16/0.47  # Current number of archived clauses   : 32
% 0.16/0.47  # Clause-clause subsumption calls (NU) : 129
% 0.16/0.47  # Rec. Clause-clause subsumption calls : 38
% 0.16/0.47  # Non-unit clause-clause subsumptions  : 4
% 0.16/0.47  # Unit Clause-clause subsumption calls : 0
% 0.16/0.47  # Rewrite failures with RHS unbound    : 0
% 0.16/0.47  # BW rewrite match attempts            : 0
% 0.16/0.47  # BW rewrite match successes           : 0
% 0.16/0.47  # Condensation attempts                : 0
% 0.16/0.47  # Condensation successes               : 0
% 0.16/0.47  # Termbank termtop insertions          : 3469
% 0.16/0.47  # Search garbage collected termcells   : 928
% 0.16/0.47  
% 0.16/0.47  # -------------------------------------------------
% 0.16/0.47  # User time                : 0.005 s
% 0.16/0.47  # System time              : 0.008 s
% 0.16/0.47  # Total time               : 0.013 s
% 0.16/0.47  # Maximum resident set size: 2076 pages
% 0.16/0.47  
% 0.16/0.47  # -------------------------------------------------
% 0.16/0.47  # User time                : 0.011 s
% 0.16/0.47  # System time              : 0.009 s
% 0.16/0.47  # Total time               : 0.021 s
% 0.16/0.47  # Maximum resident set size: 1872 pages
% 0.16/0.47  % E---3.1 exiting
%------------------------------------------------------------------------------