TSTP Solution File: SWC206-1 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : SWC206-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n029.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 19:39:51 EDT 2023

% Result   : Unsatisfiable 0.18s 0.48s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   33 (  23 unt;   2 nHn;  33 RR)
%            Number of literals    :   49 (  10 equ;  18 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   :    6 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(co1_7,negated_conjecture,
    neq(sk2,nil),
    file('/export/starexec/sandbox2/tmp/tmp.fOALDQ3SYb/E---3.1_3327.p',co1_7) ).

cnf(co1_5,negated_conjecture,
    sk2 = sk4,
    file('/export/starexec/sandbox2/tmp/tmp.fOALDQ3SYb/E---3.1_3327.p',co1_5) ).

cnf(co1_8,negated_conjecture,
    ~ neq(sk1,nil),
    file('/export/starexec/sandbox2/tmp/tmp.fOALDQ3SYb/E---3.1_3327.p',co1_8) ).

cnf(co1_6,negated_conjecture,
    sk1 = sk3,
    file('/export/starexec/sandbox2/tmp/tmp.fOALDQ3SYb/E---3.1_3327.p',co1_6) ).

cnf(co1_1,negated_conjecture,
    ssList(sk1),
    file('/export/starexec/sandbox2/tmp/tmp.fOALDQ3SYb/E---3.1_3327.p',co1_1) ).

cnf(co1_13,negated_conjecture,
    ( segmentP(sk3,sk5)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox2/tmp/tmp.fOALDQ3SYb/E---3.1_3327.p',co1_13) ).

cnf(clause100,axiom,
    ( neq(X2,X1)
    | X2 = X1
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.fOALDQ3SYb/E---3.1_3327.p',clause100) ).

cnf(clause8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox2/tmp/tmp.fOALDQ3SYb/E---3.1_3327.p',clause8) ).

cnf(co1_10,negated_conjecture,
    ( ssList(sk5)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox2/tmp/tmp.fOALDQ3SYb/E---3.1_3327.p',co1_10) ).

cnf(co1_11,negated_conjecture,
    ( neq(sk5,nil)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox2/tmp/tmp.fOALDQ3SYb/E---3.1_3327.p',co1_11) ).

cnf(clause80,axiom,
    ( nil = X1
    | ~ segmentP(nil,X1)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.fOALDQ3SYb/E---3.1_3327.p',clause80) ).

cnf(c_0_11,negated_conjecture,
    neq(sk2,nil),
    co1_7 ).

cnf(c_0_12,negated_conjecture,
    sk2 = sk4,
    co1_5 ).

cnf(c_0_13,negated_conjecture,
    ~ neq(sk1,nil),
    co1_8 ).

cnf(c_0_14,negated_conjecture,
    sk1 = sk3,
    co1_6 ).

cnf(c_0_15,negated_conjecture,
    ssList(sk1),
    co1_1 ).

cnf(c_0_16,negated_conjecture,
    ( segmentP(sk3,sk5)
    | ~ neq(sk4,nil) ),
    co1_13 ).

cnf(c_0_17,negated_conjecture,
    neq(sk4,nil),
    inference(rw,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_18,negated_conjecture,
    ~ neq(sk3,nil),
    inference(rw,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_19,axiom,
    ( neq(X2,X1)
    | X2 = X1
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    clause100 ).

cnf(c_0_20,negated_conjecture,
    ssList(sk3),
    inference(rw,[status(thm)],[c_0_15,c_0_14]) ).

cnf(c_0_21,axiom,
    ssList(nil),
    clause8 ).

cnf(c_0_22,negated_conjecture,
    segmentP(sk3,sk5),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_17])]) ).

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_18,c_0_19]),c_0_20]),c_0_21])]) ).

cnf(c_0_24,negated_conjecture,
    ( ssList(sk5)
    | ~ neq(sk4,nil) ),
    co1_10 ).

cnf(c_0_25,negated_conjecture,
    ( neq(sk5,nil)
    | ~ neq(sk4,nil) ),
    co1_11 ).

cnf(c_0_26,axiom,
    ( nil = X1
    | ~ segmentP(nil,X1)
    | ~ ssList(X1) ),
    clause80 ).

cnf(c_0_27,negated_conjecture,
    segmentP(nil,sk5),
    inference(rw,[status(thm)],[c_0_22,c_0_23]) ).

cnf(c_0_28,negated_conjecture,
    ssList(sk5),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_17])]) ).

cnf(c_0_29,negated_conjecture,
    neq(sk5,nil),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_17])]) ).

cnf(c_0_30,negated_conjecture,
    sk5 = nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28])]) ).

cnf(c_0_31,negated_conjecture,
    ~ neq(nil,nil),
    inference(rw,[status(thm)],[c_0_18,c_0_23]) ).

cnf(c_0_32,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_30]),c_0_31]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : SWC206-1 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.13  % Command    : run_E %s %d THM
% 0.12/0.33  % Computer : n029.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 02:18:07 EDT 2023
% 0.12/0.33  % CPUTime    : 
% 0.18/0.46  Running first-order theorem proving
% 0.18/0.46  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.fOALDQ3SYb/E---3.1_3327.p
% 0.18/0.48  # Version: 3.1pre001
% 0.18/0.48  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.18/0.48  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.48  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.18/0.48  # Starting new_bool_3 with 300s (1) cores
% 0.18/0.48  # Starting new_bool_1 with 300s (1) cores
% 0.18/0.48  # Starting sh5l with 300s (1) cores
% 0.18/0.48  # new_bool_3 with pid 3406 completed with status 0
% 0.18/0.48  # Result found by new_bool_3
% 0.18/0.48  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.18/0.48  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.48  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.18/0.48  # Starting new_bool_3 with 300s (1) cores
% 0.18/0.48  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.18/0.48  # Search class: FGHSF-FFMM22-SFFFFFNN
% 0.18/0.48  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.18/0.48  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.18/0.48  # SAT001_MinMin_p005000_rr_RG with pid 3409 completed with status 0
% 0.18/0.48  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.18/0.48  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.18/0.48  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.48  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.18/0.48  # Starting new_bool_3 with 300s (1) cores
% 0.18/0.48  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.18/0.48  # Search class: FGHSF-FFMM22-SFFFFFNN
% 0.18/0.48  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.18/0.48  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.18/0.48  # Preprocessing time       : 0.004 s
% 0.18/0.48  # Presaturation interreduction done
% 0.18/0.48  
% 0.18/0.48  # Proof found!
% 0.18/0.48  # SZS status Unsatisfiable
% 0.18/0.48  # SZS output start CNFRefutation
% See solution above
% 0.18/0.48  # Parsed axioms                        : 198
% 0.18/0.48  # Removed by relevancy pruning/SinE    : 156
% 0.18/0.48  # Initial clauses                      : 42
% 0.18/0.48  # Removed in clause preprocessing      : 0
% 0.18/0.48  # Initial clauses in saturation        : 42
% 0.18/0.48  # Processed clauses                    : 84
% 0.18/0.48  # ...of these trivial                  : 2
% 0.18/0.48  # ...subsumed                          : 0
% 0.18/0.48  # ...remaining for further processing  : 82
% 0.18/0.48  # Other redundant clauses eliminated   : 6
% 0.18/0.48  # Clauses deleted for lack of memory   : 0
% 0.18/0.48  # Backward-subsumed                    : 4
% 0.18/0.48  # Backward-rewritten                   : 8
% 0.18/0.48  # Generated clauses                    : 22
% 0.18/0.48  # ...of the previous two non-redundant : 16
% 0.18/0.48  # ...aggressively subsumed             : 0
% 0.18/0.48  # Contextual simplify-reflections      : 0
% 0.18/0.48  # Paramodulations                      : 17
% 0.18/0.48  # Factorizations                       : 0
% 0.18/0.48  # NegExts                              : 0
% 0.18/0.48  # Equation resolutions                 : 6
% 0.18/0.48  # Total rewrite steps                  : 34
% 0.18/0.48  # Propositional unsat checks           : 0
% 0.18/0.48  #    Propositional check models        : 0
% 0.18/0.48  #    Propositional check unsatisfiable : 0
% 0.18/0.48  #    Propositional clauses             : 0
% 0.18/0.48  #    Propositional clauses after purity: 0
% 0.18/0.48  #    Propositional unsat core size     : 0
% 0.18/0.48  #    Propositional preprocessing time  : 0.000
% 0.18/0.48  #    Propositional encoding time       : 0.000
% 0.18/0.48  #    Propositional solver time         : 0.000
% 0.18/0.48  #    Success case prop preproc time    : 0.000
% 0.18/0.48  #    Success case prop encoding time   : 0.000
% 0.18/0.48  #    Success case prop solver time     : 0.000
% 0.18/0.48  # Current number of processed clauses  : 25
% 0.18/0.48  #    Positive orientable unit clauses  : 9
% 0.18/0.48  #    Positive unorientable unit clauses: 0
% 0.18/0.48  #    Negative unit clauses             : 1
% 0.18/0.48  #    Non-unit-clauses                  : 15
% 0.18/0.48  # Current number of unprocessed clauses: 14
% 0.18/0.48  # ...number of literals in the above   : 61
% 0.18/0.48  # Current number of archived formulas  : 0
% 0.18/0.48  # Current number of archived clauses   : 52
% 0.18/0.48  # Clause-clause subsumption calls (NU) : 129
% 0.18/0.48  # Rec. Clause-clause subsumption calls : 43
% 0.18/0.48  # Non-unit clause-clause subsumptions  : 0
% 0.18/0.48  # Unit Clause-clause subsumption calls : 19
% 0.18/0.48  # Rewrite failures with RHS unbound    : 0
% 0.18/0.48  # BW rewrite match attempts            : 3
% 0.18/0.48  # BW rewrite match successes           : 3
% 0.18/0.48  # Condensation attempts                : 0
% 0.18/0.48  # Condensation successes               : 0
% 0.18/0.48  # Termbank termtop insertions          : 2964
% 0.18/0.48  
% 0.18/0.48  # -------------------------------------------------
% 0.18/0.48  # User time                : 0.005 s
% 0.18/0.48  # System time              : 0.004 s
% 0.18/0.48  # Total time               : 0.009 s
% 0.18/0.48  # Maximum resident set size: 2056 pages
% 0.18/0.48  
% 0.18/0.48  # -------------------------------------------------
% 0.18/0.48  # User time                : 0.007 s
% 0.18/0.48  # System time              : 0.008 s
% 0.18/0.48  # Total time               : 0.015 s
% 0.18/0.48  # Maximum resident set size: 1852 pages
% 0.18/0.48  % E---3.1 exiting
% 0.18/0.48  % E---3.1 exiting
%------------------------------------------------------------------------------