TSTP Solution File: SWC082-1 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : SWC082-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n003.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 19:39:14 EDT 2023

% Result   : Unsatisfiable 0.17s 0.46s
% Output   : CNFRefutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   23 (  12 unt;   0 nHn;  23 RR)
%            Number of literals    :   40 (   4 equ;  20 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   6 con; 0-0 aty)
%            Number of variables   :    3 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(co1_7,negated_conjecture,
    neq(sk2,nil),
    file('/export/starexec/sandbox/tmp/tmp.HIPUB6nh5c/E---3.1_31031.p',co1_7) ).

cnf(co1_5,negated_conjecture,
    sk2 = sk4,
    file('/export/starexec/sandbox/tmp/tmp.HIPUB6nh5c/E---3.1_31031.p',co1_5) ).

cnf(co1_8,negated_conjecture,
    ( ~ ssList(X1)
    | ~ neq(X1,nil)
    | ~ segmentP(sk2,X1)
    | ~ segmentP(sk1,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.HIPUB6nh5c/E---3.1_31031.p',co1_8) ).

cnf(co1_6,negated_conjecture,
    sk1 = sk3,
    file('/export/starexec/sandbox/tmp/tmp.HIPUB6nh5c/E---3.1_31031.p',co1_6) ).

cnf(co1_11,negated_conjecture,
    ( neq(sk5,nil)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox/tmp/tmp.HIPUB6nh5c/E---3.1_31031.p',co1_11) ).

cnf(co1_13,negated_conjecture,
    ( segmentP(sk3,sk5)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox/tmp/tmp.HIPUB6nh5c/E---3.1_31031.p',co1_13) ).

cnf(co1_12,negated_conjecture,
    ( segmentP(sk4,sk5)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox/tmp/tmp.HIPUB6nh5c/E---3.1_31031.p',co1_12) ).

cnf(co1_10,negated_conjecture,
    ( ssList(sk5)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox/tmp/tmp.HIPUB6nh5c/E---3.1_31031.p',co1_10) ).

cnf(c_0_8,negated_conjecture,
    neq(sk2,nil),
    co1_7 ).

cnf(c_0_9,negated_conjecture,
    sk2 = sk4,
    co1_5 ).

cnf(c_0_10,negated_conjecture,
    ( ~ ssList(X1)
    | ~ neq(X1,nil)
    | ~ segmentP(sk2,X1)
    | ~ segmentP(sk1,X1) ),
    co1_8 ).

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

cnf(c_0_12,negated_conjecture,
    ( neq(sk5,nil)
    | ~ neq(sk4,nil) ),
    co1_11 ).

cnf(c_0_13,negated_conjecture,
    neq(sk4,nil),
    inference(rw,[status(thm)],[c_0_8,c_0_9]) ).

cnf(c_0_14,negated_conjecture,
    ( segmentP(sk3,sk5)
    | ~ neq(sk4,nil) ),
    co1_13 ).

cnf(c_0_15,negated_conjecture,
    ( segmentP(sk4,sk5)
    | ~ neq(sk4,nil) ),
    co1_12 ).

cnf(c_0_16,negated_conjecture,
    ( ssList(sk5)
    | ~ neq(sk4,nil) ),
    co1_10 ).

cnf(c_0_17,negated_conjecture,
    ( ~ neq(X1,nil)
    | ~ segmentP(sk3,X1)
    | ~ segmentP(sk4,X1)
    | ~ ssList(X1) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_10,c_0_11]),c_0_9]) ).

cnf(c_0_18,negated_conjecture,
    neq(sk5,nil),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_13])]) ).

cnf(c_0_19,negated_conjecture,
    segmentP(sk3,sk5),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_13])]) ).

cnf(c_0_20,negated_conjecture,
    segmentP(sk4,sk5),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_13])]) ).

cnf(c_0_21,negated_conjecture,
    ssList(sk5),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_13])]) ).

cnf(c_0_22,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[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_20]),c_0_21])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : SWC082-1 : TPTP v8.1.2. Released v2.4.0.
% 0.11/0.12  % Command    : run_E %s %d THM
% 0.12/0.32  % Computer : n003.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit   : 2400
% 0.12/0.32  % WCLimit    : 300
% 0.12/0.32  % DateTime   : Tue Oct  3 02:07:48 EDT 2023
% 0.12/0.33  % CPUTime    : 
% 0.17/0.45  Running first-order theorem proving
% 0.17/0.45  Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.HIPUB6nh5c/E---3.1_31031.p
% 0.17/0.46  # Version: 3.1pre001
% 0.17/0.46  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.17/0.46  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.46  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.17/0.46  # Starting new_bool_3 with 300s (1) cores
% 0.17/0.46  # Starting new_bool_1 with 300s (1) cores
% 0.17/0.46  # Starting sh5l with 300s (1) cores
% 0.17/0.46  # new_bool_1 with pid 31111 completed with status 0
% 0.17/0.46  # Result found by new_bool_1
% 0.17/0.46  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.17/0.46  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.46  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.17/0.46  # Starting new_bool_3 with 300s (1) cores
% 0.17/0.46  # Starting new_bool_1 with 300s (1) cores
% 0.17/0.46  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.17/0.46  # Search class: FGHSF-FFMM22-SFFFFFNN
% 0.17/0.46  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.46  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.17/0.46  # SAT001_MinMin_p005000_rr_RG with pid 31114 completed with status 0
% 0.17/0.46  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.17/0.46  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.17/0.46  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.46  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.17/0.46  # Starting new_bool_3 with 300s (1) cores
% 0.17/0.46  # Starting new_bool_1 with 300s (1) cores
% 0.17/0.46  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.17/0.46  # Search class: FGHSF-FFMM22-SFFFFFNN
% 0.17/0.46  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.46  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.17/0.46  # Preprocessing time       : 0.003 s
% 0.17/0.46  # Presaturation interreduction done
% 0.17/0.46  
% 0.17/0.46  # Proof found!
% 0.17/0.46  # SZS status Unsatisfiable
% 0.17/0.46  # SZS output start CNFRefutation
% See solution above
% 0.17/0.46  # Parsed axioms                        : 198
% 0.17/0.46  # Removed by relevancy pruning/SinE    : 156
% 0.17/0.46  # Initial clauses                      : 42
% 0.17/0.46  # Removed in clause preprocessing      : 0
% 0.17/0.46  # Initial clauses in saturation        : 42
% 0.17/0.46  # Processed clauses                    : 68
% 0.17/0.46  # ...of these trivial                  : 2
% 0.17/0.46  # ...subsumed                          : 0
% 0.17/0.46  # ...remaining for further processing  : 66
% 0.17/0.46  # Other redundant clauses eliminated   : 6
% 0.17/0.46  # Clauses deleted for lack of memory   : 0
% 0.17/0.46  # Backward-subsumed                    : 0
% 0.17/0.46  # Backward-rewritten                   : 1
% 0.17/0.46  # Generated clauses                    : 10
% 0.17/0.46  # ...of the previous two non-redundant : 9
% 0.17/0.46  # ...aggressively subsumed             : 0
% 0.17/0.46  # Contextual simplify-reflections      : 0
% 0.17/0.46  # Paramodulations                      : 5
% 0.17/0.46  # Factorizations                       : 0
% 0.17/0.46  # NegExts                              : 0
% 0.17/0.46  # Equation resolutions                 : 6
% 0.17/0.46  # Total rewrite steps                  : 18
% 0.17/0.46  # Propositional unsat checks           : 0
% 0.17/0.46  #    Propositional check models        : 0
% 0.17/0.46  #    Propositional check unsatisfiable : 0
% 0.17/0.46  #    Propositional clauses             : 0
% 0.17/0.46  #    Propositional clauses after purity: 0
% 0.17/0.46  #    Propositional unsat core size     : 0
% 0.17/0.46  #    Propositional preprocessing time  : 0.000
% 0.17/0.46  #    Propositional encoding time       : 0.000
% 0.17/0.46  #    Propositional solver time         : 0.000
% 0.17/0.46  #    Success case prop preproc time    : 0.000
% 0.17/0.46  #    Success case prop encoding time   : 0.000
% 0.17/0.46  #    Success case prop solver time     : 0.000
% 0.17/0.46  # Current number of processed clauses  : 20
% 0.17/0.46  #    Positive orientable unit clauses  : 10
% 0.17/0.46  #    Positive unorientable unit clauses: 0
% 0.17/0.46  #    Negative unit clauses             : 0
% 0.17/0.46  #    Non-unit-clauses                  : 10
% 0.17/0.46  # Current number of unprocessed clauses: 23
% 0.17/0.46  # ...number of literals in the above   : 88
% 0.17/0.46  # Current number of archived formulas  : 0
% 0.17/0.46  # Current number of archived clauses   : 41
% 0.17/0.46  # Clause-clause subsumption calls (NU) : 123
% 0.17/0.46  # Rec. Clause-clause subsumption calls : 30
% 0.17/0.46  # Non-unit clause-clause subsumptions  : 0
% 0.17/0.46  # Unit Clause-clause subsumption calls : 2
% 0.17/0.46  # Rewrite failures with RHS unbound    : 0
% 0.17/0.46  # BW rewrite match attempts            : 1
% 0.17/0.46  # BW rewrite match successes           : 1
% 0.17/0.46  # Condensation attempts                : 0
% 0.17/0.46  # Condensation successes               : 0
% 0.17/0.46  # Termbank termtop insertions          : 2775
% 0.17/0.46  
% 0.17/0.46  # -------------------------------------------------
% 0.17/0.46  # User time                : 0.003 s
% 0.17/0.46  # System time              : 0.005 s
% 0.17/0.46  # Total time               : 0.008 s
% 0.17/0.46  # Maximum resident set size: 1940 pages
% 0.17/0.46  
% 0.17/0.46  # -------------------------------------------------
% 0.17/0.46  # User time                : 0.006 s
% 0.17/0.46  # System time              : 0.007 s
% 0.17/0.46  # Total time               : 0.013 s
% 0.17/0.46  # Maximum resident set size: 1852 pages
% 0.17/0.46  % E---3.1 exiting
% 0.17/0.46  % E---3.1 exiting
%------------------------------------------------------------------------------