TSTP Solution File: SWC364-1 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : SWC364-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n013.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 19:40:38 EDT 2023

% Result   : Unsatisfiable 5.24s 4.77s
% Output   : CNFRefutation 5.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   34 (  17 unt;   1 nHn;  34 RR)
%            Number of literals    :   66 (  11 equ;  36 neg)
%            Maximal clause size   :    6 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   6 con; 0-2 aty)
%            Number of variables   :   18 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(co1_7,negated_conjecture,
    ( neq(sk2,nil)
    | neq(sk2,nil) ),
    file('/export/starexec/sandbox2/tmp/tmp.F7qHnryJgG/E---3.1_13624.p',co1_7) ).

cnf(clause173,axiom,
    ( segmentP(X4,X2)
    | app(app(X1,X2),X3) != X4
    | ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X4) ),
    file('/export/starexec/sandbox2/tmp/tmp.F7qHnryJgG/E---3.1_13624.p',clause173) ).

cnf(co1_13,negated_conjecture,
    ( app(cons(sk5,nil),sk3) = sk4
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox2/tmp/tmp.F7qHnryJgG/E---3.1_13624.p',co1_13) ).

cnf(co1_6,negated_conjecture,
    sk1 = sk3,
    file('/export/starexec/sandbox2/tmp/tmp.F7qHnryJgG/E---3.1_13624.p',co1_6) ).

cnf(co1_5,negated_conjecture,
    sk2 = sk4,
    file('/export/starexec/sandbox2/tmp/tmp.F7qHnryJgG/E---3.1_13624.p',co1_5) ).

cnf(co1_14,negated_conjecture,
    ( ~ segmentP(sk2,sk1)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox2/tmp/tmp.F7qHnryJgG/E---3.1_13624.p',co1_14) ).

cnf(co1_1,negated_conjecture,
    ssList(sk1),
    file('/export/starexec/sandbox2/tmp/tmp.F7qHnryJgG/E---3.1_13624.p',co1_1) ).

cnf(co1_12,negated_conjecture,
    ( ssItem(sk5)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox2/tmp/tmp.F7qHnryJgG/E---3.1_13624.p',co1_12) ).

cnf(clause73,axiom,
    ( app(X1,nil) = X1
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.F7qHnryJgG/E---3.1_13624.p',clause73) ).

cnf(co1_2,negated_conjecture,
    ssList(sk2),
    file('/export/starexec/sandbox2/tmp/tmp.F7qHnryJgG/E---3.1_13624.p',co1_2) ).

cnf(clause8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox2/tmp/tmp.F7qHnryJgG/E---3.1_13624.p',clause8) ).

cnf(clause86,axiom,
    ( ssList(cons(X1,X2))
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.F7qHnryJgG/E---3.1_13624.p',clause86) ).

cnf(c_0_12,negated_conjecture,
    neq(sk2,nil),
    inference(fof_simplification,[status(thm)],[co1_7]) ).

cnf(c_0_13,axiom,
    ( segmentP(X4,X2)
    | app(app(X1,X2),X3) != X4
    | ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X4) ),
    clause173 ).

cnf(c_0_14,negated_conjecture,
    ( app(cons(sk5,nil),sk3) = sk4
    | ~ neq(sk4,nil) ),
    co1_13 ).

cnf(c_0_15,negated_conjecture,
    sk1 = sk3,
    co1_6 ).

cnf(c_0_16,negated_conjecture,
    sk2 = sk4,
    co1_5 ).

cnf(c_0_17,negated_conjecture,
    neq(sk2,nil),
    c_0_12 ).

cnf(c_0_18,negated_conjecture,
    ( ~ segmentP(sk2,sk1)
    | ~ neq(sk4,nil) ),
    co1_14 ).

cnf(c_0_19,plain,
    ( segmentP(app(app(X1,X2),X3),X2)
    | ~ ssList(app(app(X1,X2),X3))
    | ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(er,[status(thm)],[c_0_13]) ).

cnf(c_0_20,negated_conjecture,
    app(cons(sk5,nil),sk1) = sk2,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_15]),c_0_16]),c_0_16]),c_0_17])]) ).

cnf(c_0_21,negated_conjecture,
    ssList(sk1),
    co1_1 ).

cnf(c_0_22,negated_conjecture,
    ( ~ neq(sk2,nil)
    | ~ segmentP(sk2,sk1) ),
    inference(rw,[status(thm)],[c_0_18,c_0_16]) ).

cnf(c_0_23,negated_conjecture,
    ( ssItem(sk5)
    | ~ neq(sk4,nil) ),
    co1_12 ).

cnf(c_0_24,negated_conjecture,
    ( segmentP(app(sk2,X1),sk1)
    | ~ ssList(cons(sk5,nil))
    | ~ ssList(app(sk2,X1))
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21])]) ).

cnf(c_0_25,axiom,
    ( app(X1,nil) = X1
    | ~ ssList(X1) ),
    clause73 ).

cnf(c_0_26,negated_conjecture,
    ssList(sk2),
    co1_2 ).

cnf(c_0_27,axiom,
    ssList(nil),
    clause8 ).

cnf(c_0_28,negated_conjecture,
    ~ segmentP(sk2,sk1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_22,c_0_17])]) ).

cnf(c_0_29,negated_conjecture,
    ( ssItem(sk5)
    | ~ neq(sk2,nil) ),
    inference(rw,[status(thm)],[c_0_23,c_0_16]) ).

cnf(c_0_30,negated_conjecture,
    ~ ssList(cons(sk5,nil)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]),c_0_27])]),c_0_28]) ).

cnf(c_0_31,axiom,
    ( ssList(cons(X1,X2))
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    clause86 ).

cnf(c_0_32,negated_conjecture,
    ssItem(sk5),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_17])]) ).

cnf(c_0_33,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32]),c_0_27])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14  % Problem    : SWC364-1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.15  % Command    : run_E %s %d THM
% 0.15/0.35  % Computer : n013.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 2400
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Tue Oct  3 01:44:14 EDT 2023
% 0.15/0.35  % CPUTime    : 
% 0.20/0.49  Running first-order theorem proving
% 0.20/0.49  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.F7qHnryJgG/E---3.1_13624.p
% 5.24/4.77  # Version: 3.1pre001
% 5.24/4.77  # Preprocessing class: FSLSSMSMSSSNFFN.
% 5.24/4.77  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 5.24/4.77  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 5.24/4.77  # Starting new_bool_3 with 300s (1) cores
% 5.24/4.77  # Starting new_bool_1 with 300s (1) cores
% 5.24/4.77  # Starting sh5l with 300s (1) cores
% 5.24/4.77  # new_bool_3 with pid 13739 completed with status 0
% 5.24/4.77  # Result found by new_bool_3
% 5.24/4.77  # Preprocessing class: FSLSSMSMSSSNFFN.
% 5.24/4.77  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 5.24/4.77  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 5.24/4.77  # Starting new_bool_3 with 300s (1) cores
% 5.24/4.77  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 5.24/4.77  # Search class: FGHSF-FFMM22-SFFFFFNN
% 5.24/4.77  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 5.24/4.77  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 5.24/4.77  # SAT001_MinMin_p005000_rr_RG with pid 13744 completed with status 0
% 5.24/4.77  # Result found by SAT001_MinMin_p005000_rr_RG
% 5.24/4.77  # Preprocessing class: FSLSSMSMSSSNFFN.
% 5.24/4.77  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 5.24/4.77  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 5.24/4.77  # Starting new_bool_3 with 300s (1) cores
% 5.24/4.77  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 5.24/4.77  # Search class: FGHSF-FFMM22-SFFFFFNN
% 5.24/4.77  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 5.24/4.77  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 5.24/4.77  # Preprocessing time       : 0.003 s
% 5.24/4.77  # Presaturation interreduction done
% 5.24/4.77  
% 5.24/4.77  # Proof found!
% 5.24/4.77  # SZS status Unsatisfiable
% 5.24/4.77  # SZS output start CNFRefutation
% See solution above
% 5.24/4.77  # Parsed axioms                        : 199
% 5.24/4.77  # Removed by relevancy pruning/SinE    : 156
% 5.24/4.77  # Initial clauses                      : 43
% 5.24/4.77  # Removed in clause preprocessing      : 0
% 5.24/4.77  # Initial clauses in saturation        : 43
% 5.24/4.77  # Processed clauses                    : 192
% 5.24/4.77  # ...of these trivial                  : 6
% 5.24/4.77  # ...subsumed                          : 61
% 5.24/4.77  # ...remaining for further processing  : 125
% 5.24/4.77  # Other redundant clauses eliminated   : 10
% 5.24/4.77  # Clauses deleted for lack of memory   : 0
% 5.24/4.77  # Backward-subsumed                    : 8
% 5.24/4.77  # Backward-rewritten                   : 2
% 5.24/4.77  # Generated clauses                    : 231
% 5.24/4.77  # ...of the previous two non-redundant : 203
% 5.24/4.77  # ...aggressively subsumed             : 0
% 5.24/4.77  # Contextual simplify-reflections      : 6
% 5.24/4.77  # Paramodulations                      : 218
% 5.24/4.77  # Factorizations                       : 0
% 5.24/4.77  # NegExts                              : 0
% 5.24/4.77  # Equation resolutions                 : 14
% 5.24/4.77  # Total rewrite steps                  : 223
% 5.24/4.77  # Propositional unsat checks           : 0
% 5.24/4.77  #    Propositional check models        : 0
% 5.24/4.77  #    Propositional check unsatisfiable : 0
% 5.24/4.77  #    Propositional clauses             : 0
% 5.24/4.77  #    Propositional clauses after purity: 0
% 5.24/4.77  #    Propositional unsat core size     : 0
% 5.24/4.77  #    Propositional preprocessing time  : 0.000
% 5.24/4.77  #    Propositional encoding time       : 0.000
% 5.24/4.77  #    Propositional solver time         : 0.000
% 5.24/4.77  #    Success case prop preproc time    : 0.000
% 5.24/4.77  #    Success case prop encoding time   : 0.000
% 5.24/4.77  #    Success case prop solver time     : 0.000
% 5.24/4.77  # Current number of processed clauses  : 73
% 5.24/4.77  #    Positive orientable unit clauses  : 11
% 5.24/4.77  #    Positive unorientable unit clauses: 0
% 5.24/4.77  #    Negative unit clauses             : 12
% 5.24/4.77  #    Non-unit-clauses                  : 50
% 5.24/4.77  # Current number of unprocessed clauses: 90
% 5.24/4.77  # ...number of literals in the above   : 469
% 5.24/4.77  # Current number of archived formulas  : 0
% 5.24/4.77  # Current number of archived clauses   : 47
% 5.24/4.77  # Clause-clause subsumption calls (NU) : 632
% 5.24/4.77  # Rec. Clause-clause subsumption calls : 204
% 5.24/4.77  # Non-unit clause-clause subsumptions  : 51
% 5.24/4.77  # Unit Clause-clause subsumption calls : 43
% 5.24/4.77  # Rewrite failures with RHS unbound    : 0
% 5.24/4.77  # BW rewrite match attempts            : 1
% 5.24/4.77  # BW rewrite match successes           : 1
% 5.24/4.77  # Condensation attempts                : 0
% 5.24/4.77  # Condensation successes               : 0
% 5.24/4.77  # Termbank termtop insertions          : 6333
% 5.24/4.77  
% 5.24/4.77  # -------------------------------------------------
% 5.24/4.77  # User time                : 0.014 s
% 5.24/4.77  # System time              : 0.002 s
% 5.24/4.77  # Total time               : 0.016 s
% 5.24/4.77  # Maximum resident set size: 2032 pages
% 5.24/4.77  
% 5.24/4.77  # -------------------------------------------------
% 5.24/4.77  # User time                : 0.020 s
% 5.24/4.77  # System time              : 0.002 s
% 5.24/4.77  # Total time               : 0.022 s
% 5.24/4.77  # Maximum resident set size: 1852 pages
% 5.24/4.77  % E---3.1 exiting
% 5.24/4.77  % E---3.1 exiting
%------------------------------------------------------------------------------