TSTP Solution File: SWC207-1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SWC207-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n021.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 19:42:01 EDT 2023

% Result   : Unsatisfiable 0.16s 1.21s
% Output   : CNFRefutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   28 (  19 unt;   6 nHn;  28 RR)
%            Number of literals    :   43 (  18 equ;  15 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :    8 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(co1_8,negated_conjecture,
    ~ neq(sk1,nil),
    file('/export/starexec/sandbox/tmp/tmp.jZu1pAzAJz/E---3.1_19969.p',co1_8) ).

cnf(co1_6,negated_conjecture,
    sk1 = sk3,
    file('/export/starexec/sandbox/tmp/tmp.jZu1pAzAJz/E---3.1_19969.p',co1_6) ).

cnf(co1_1,negated_conjecture,
    ssList(sk1),
    file('/export/starexec/sandbox/tmp/tmp.jZu1pAzAJz/E---3.1_19969.p',co1_1) ).

cnf(clause99,axiom,
    ( cons(X1,X2) != X2
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.jZu1pAzAJz/E---3.1_19969.p',clause99) ).

cnf(co1_11,negated_conjecture,
    ( cons(sk5,nil) = sk3
    | nil = sk4 ),
    file('/export/starexec/sandbox/tmp/tmp.jZu1pAzAJz/E---3.1_19969.p',co1_11) ).

cnf(clause8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox/tmp/tmp.jZu1pAzAJz/E---3.1_19969.p',clause8) ).

cnf(co1_9,negated_conjecture,
    ( ssItem(sk5)
    | nil = sk4 ),
    file('/export/starexec/sandbox/tmp/tmp.jZu1pAzAJz/E---3.1_19969.p',co1_9) ).

cnf(clause100,axiom,
    ( neq(X2,X1)
    | X2 = X1
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.jZu1pAzAJz/E---3.1_19969.p',clause100) ).

cnf(co1_7,negated_conjecture,
    neq(sk2,nil),
    file('/export/starexec/sandbox/tmp/tmp.jZu1pAzAJz/E---3.1_19969.p',co1_7) ).

cnf(co1_5,negated_conjecture,
    sk2 = sk4,
    file('/export/starexec/sandbox/tmp/tmp.jZu1pAzAJz/E---3.1_19969.p',co1_5) ).

cnf(c_0_10,negated_conjecture,
    ~ neq(sk1,nil),
    co1_8 ).

cnf(c_0_11,negated_conjecture,
    sk1 = sk3,
    co1_6 ).

cnf(c_0_12,negated_conjecture,
    ssList(sk1),
    co1_1 ).

cnf(c_0_13,axiom,
    ( cons(X1,X2) != X2
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    clause99 ).

cnf(c_0_14,negated_conjecture,
    ( cons(sk5,nil) = sk3
    | nil = sk4 ),
    co1_11 ).

cnf(c_0_15,axiom,
    ssList(nil),
    clause8 ).

cnf(c_0_16,negated_conjecture,
    ( ssItem(sk5)
    | nil = sk4 ),
    co1_9 ).

cnf(c_0_17,negated_conjecture,
    ~ neq(sk3,nil),
    inference(rw,[status(thm)],[c_0_10,c_0_11]) ).

cnf(c_0_18,axiom,
    ( neq(X2,X1)
    | X2 = X1
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    clause100 ).

cnf(c_0_19,negated_conjecture,
    ssList(sk3),
    inference(rw,[status(thm)],[c_0_12,c_0_11]) ).

cnf(c_0_20,negated_conjecture,
    neq(sk2,nil),
    co1_7 ).

cnf(c_0_21,negated_conjecture,
    sk2 = sk4,
    co1_5 ).

cnf(c_0_22,negated_conjecture,
    ( sk4 = nil
    | sk3 != nil ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15])]),c_0_16]) ).

cnf(c_0_23,negated_conjecture,
    sk3 = nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]),c_0_15])]) ).

cnf(c_0_24,negated_conjecture,
    neq(sk4,nil),
    inference(rw,[status(thm)],[c_0_20,c_0_21]) ).

cnf(c_0_25,negated_conjecture,
    sk4 = nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_22,c_0_23])]) ).

cnf(c_0_26,negated_conjecture,
    ~ neq(nil,nil),
    inference(rw,[status(thm)],[c_0_17,c_0_23]) ).

cnf(c_0_27,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_25]),c_0_26]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.85  % Problem    : SWC207-1 : TPTP v8.1.2. Released v2.4.0.
% 0.06/0.86  % Command    : run_E %s %d THM
% 0.11/1.06  % Computer : n021.cluster.edu
% 0.11/1.06  % Model    : x86_64 x86_64
% 0.11/1.06  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/1.06  % Memory   : 8042.1875MB
% 0.11/1.06  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/1.06  % CPULimit   : 2400
% 0.11/1.06  % WCLimit    : 300
% 0.11/1.06  % DateTime   : Tue Oct  3 01:46:38 EDT 2023
% 0.11/1.06  % CPUTime    : 
% 0.16/1.19  Running first-order model finding
% 0.16/1.19  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/tmp/tmp.jZu1pAzAJz/E---3.1_19969.p
% 0.16/1.21  # Version: 3.1pre001
% 0.16/1.21  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.16/1.21  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/1.21  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.16/1.21  # Starting new_bool_3 with 300s (1) cores
% 0.16/1.21  # Starting new_bool_1 with 300s (1) cores
% 0.16/1.21  # Starting sh5l with 300s (1) cores
% 0.16/1.21  # new_bool_3 with pid 20048 completed with status 0
% 0.16/1.21  # Result found by new_bool_3
% 0.16/1.21  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.16/1.21  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/1.21  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.16/1.21  # Starting new_bool_3 with 300s (1) cores
% 0.16/1.21  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/1.21  # Search class: FGHSF-FFMM22-SFFFFFNN
% 0.16/1.21  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.16/1.21  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.16/1.21  # SAT001_MinMin_p005000_rr_RG with pid 20052 completed with status 0
% 0.16/1.21  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.16/1.21  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.16/1.21  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/1.21  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.16/1.21  # Starting new_bool_3 with 300s (1) cores
% 0.16/1.21  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/1.21  # Search class: FGHSF-FFMM22-SFFFFFNN
% 0.16/1.21  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.16/1.21  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.16/1.21  # Preprocessing time       : 0.004 s
% 0.16/1.21  # Presaturation interreduction done
% 0.16/1.21  
% 0.16/1.21  # Proof found!
% 0.16/1.21  # SZS status Unsatisfiable
% 0.16/1.21  # SZS output start CNFRefutation
% See solution above
% 0.16/1.21  # Parsed axioms                        : 201
% 0.16/1.21  # Removed by relevancy pruning/SinE    : 145
% 0.16/1.21  # Initial clauses                      : 56
% 0.16/1.21  # Removed in clause preprocessing      : 0
% 0.16/1.21  # Initial clauses in saturation        : 56
% 0.16/1.21  # Processed clauses                    : 97
% 0.16/1.21  # ...of these trivial                  : 2
% 0.16/1.21  # ...subsumed                          : 3
% 0.16/1.21  # ...remaining for further processing  : 92
% 0.16/1.21  # Other redundant clauses eliminated   : 7
% 0.16/1.21  # Clauses deleted for lack of memory   : 0
% 0.16/1.21  # Backward-subsumed                    : 0
% 0.16/1.21  # Backward-rewritten                   : 15
% 0.16/1.21  # Generated clauses                    : 14
% 0.16/1.21  # ...of the previous two non-redundant : 13
% 0.16/1.21  # ...aggressively subsumed             : 0
% 0.16/1.21  # Contextual simplify-reflections      : 1
% 0.16/1.21  # Paramodulations                      : 8
% 0.16/1.21  # Factorizations                       : 0
% 0.16/1.21  # NegExts                              : 0
% 0.16/1.21  # Equation resolutions                 : 7
% 0.16/1.21  # Total rewrite steps                  : 35
% 0.16/1.21  # Propositional unsat checks           : 0
% 0.16/1.21  #    Propositional check models        : 0
% 0.16/1.21  #    Propositional check unsatisfiable : 0
% 0.16/1.21  #    Propositional clauses             : 0
% 0.16/1.21  #    Propositional clauses after purity: 0
% 0.16/1.21  #    Propositional unsat core size     : 0
% 0.16/1.21  #    Propositional preprocessing time  : 0.000
% 0.16/1.21  #    Propositional encoding time       : 0.000
% 0.16/1.21  #    Propositional solver time         : 0.000
% 0.16/1.21  #    Success case prop preproc time    : 0.000
% 0.16/1.21  #    Success case prop encoding time   : 0.000
% 0.16/1.21  #    Success case prop solver time     : 0.000
% 0.16/1.21  # Current number of processed clauses  : 19
% 0.16/1.21  #    Positive orientable unit clauses  : 4
% 0.16/1.21  #    Positive unorientable unit clauses: 0
% 0.16/1.21  #    Negative unit clauses             : 1
% 0.16/1.22  #    Non-unit-clauses                  : 14
% 0.16/1.22  # Current number of unprocessed clauses: 24
% 0.16/1.22  # ...number of literals in the above   : 110
% 0.16/1.22  # Current number of archived formulas  : 0
% 0.16/1.22  # Current number of archived clauses   : 67
% 0.16/1.22  # Clause-clause subsumption calls (NU) : 679
% 0.16/1.22  # Rec. Clause-clause subsumption calls : 99
% 0.16/1.22  # Non-unit clause-clause subsumptions  : 4
% 0.16/1.22  # Unit Clause-clause subsumption calls : 0
% 0.16/1.22  # Rewrite failures with RHS unbound    : 0
% 0.16/1.22  # BW rewrite match attempts            : 2
% 0.16/1.22  # BW rewrite match successes           : 2
% 0.16/1.22  # Condensation attempts                : 0
% 0.16/1.22  # Condensation successes               : 0
% 0.16/1.22  # Termbank termtop insertions          : 3317
% 0.16/1.22  
% 0.16/1.22  # -------------------------------------------------
% 0.16/1.22  # User time                : 0.007 s
% 0.16/1.22  # System time              : 0.004 s
% 0.16/1.22  # Total time               : 0.011 s
% 0.16/1.22  # Maximum resident set size: 2076 pages
% 0.16/1.22  
% 0.16/1.22  # -------------------------------------------------
% 0.16/1.22  # User time                : 0.011 s
% 0.16/1.22  # System time              : 0.006 s
% 0.16/1.22  # Total time               : 0.017 s
% 0.16/1.22  # Maximum resident set size: 1848 pages
% 0.16/1.22  % E---3.1 exiting
%------------------------------------------------------------------------------