TSTP Solution File: SWC331-1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : SWC331-1 : TPTP v8.2.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n011.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 04:25:47 EDT 2024

% Result   : Unsatisfiable 0.18s 0.49s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   31 (  17 unt;   0 nHn;  31 RR)
%            Number of literals    :   64 (  12 equ;  37 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    3 (   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   :   26 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause173,axiom,
    ( segmentP(X4,X2)
    | app(app(X1,X2),X3) != X4
    | ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause173) ).

cnf(clause74,axiom,
    ( app(nil,X1) = X1
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause74) ).

cnf(clause85,axiom,
    ( ssList(app(X2,X1))
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause85) ).

cnf(co1_12,negated_conjecture,
    ( ~ segmentP(sk2,sk1)
    | ~ equalelemsP(sk1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).

cnf(clause8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause8) ).

cnf(co1_1,negated_conjecture,
    ssList(sk1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_1) ).

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

cnf(co1_9,negated_conjecture,
    equalelemsP(sk3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).

cnf(co1_5,negated_conjecture,
    sk2 = sk4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).

cnf(co1_8,negated_conjecture,
    app(sk3,sk5) = sk4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

cnf(co1_7,negated_conjecture,
    ssList(sk5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

cnf(c_0_11,plain,
    ( segmentP(X4,X2)
    | app(app(X1,X2),X3) != X4
    | ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X4) ),
    inference(fof_simplification,[status(thm)],[clause173]) ).

cnf(c_0_12,plain,
    ( segmentP(X4,X2)
    | app(app(X1,X2),X3) != X4
    | ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X4) ),
    c_0_11 ).

cnf(c_0_13,plain,
    ( app(nil,X1) = X1
    | ~ ssList(X1) ),
    inference(fof_simplification,[status(thm)],[clause74]) ).

cnf(c_0_14,plain,
    ( ssList(app(X2,X1))
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(fof_simplification,[status(thm)],[clause85]) ).

cnf(c_0_15,negated_conjecture,
    ( ~ segmentP(sk2,sk1)
    | ~ equalelemsP(sk1) ),
    inference(fof_simplification,[status(thm)],[co1_12]) ).

cnf(c_0_16,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_12]) ).

cnf(c_0_17,plain,
    ( app(nil,X1) = X1
    | ~ ssList(X1) ),
    c_0_13 ).

cnf(c_0_18,axiom,
    ssList(nil),
    clause8 ).

cnf(c_0_19,plain,
    ( ssList(app(X2,X1))
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    c_0_14 ).

cnf(c_0_20,negated_conjecture,
    ssList(sk1),
    co1_1 ).

cnf(c_0_21,negated_conjecture,
    sk1 = sk3,
    co1_6 ).

cnf(c_0_22,negated_conjecture,
    ( ~ segmentP(sk2,sk1)
    | ~ equalelemsP(sk1) ),
    c_0_15 ).

cnf(c_0_23,negated_conjecture,
    equalelemsP(sk3),
    co1_9 ).

cnf(c_0_24,negated_conjecture,
    sk2 = sk4,
    co1_5 ).

cnf(c_0_25,plain,
    ( segmentP(app(X1,X2),X1)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18])]),c_0_19]) ).

cnf(c_0_26,negated_conjecture,
    app(sk3,sk5) = sk4,
    co1_8 ).

cnf(c_0_27,negated_conjecture,
    ssList(sk5),
    co1_7 ).

cnf(c_0_28,negated_conjecture,
    ssList(sk3),
    inference(rw,[status(thm)],[c_0_20,c_0_21]) ).

cnf(c_0_29,negated_conjecture,
    ~ segmentP(sk4,sk3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_22,c_0_21]),c_0_23]),c_0_24]),c_0_21])]) ).

cnf(c_0_30,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27]),c_0_28])]),c_0_29]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10  % Problem    : SWC331-1 : TPTP v8.2.0. Released v2.4.0.
% 0.06/0.11  % Command    : run_E %s %d THM
% 0.11/0.32  % Computer : n011.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Sun May 19 03:46:37 EDT 2024
% 0.11/0.32  % CPUTime    : 
% 0.18/0.43  Running first-order theorem proving
% 0.18/0.43  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/benchmark/theBenchmark.p
% 0.18/0.49  # Version: 3.1.0
% 0.18/0.49  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.18/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.49  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.18/0.49  # Starting new_bool_3 with 300s (1) cores
% 0.18/0.49  # Starting new_bool_1 with 300s (1) cores
% 0.18/0.49  # Starting sh5l with 300s (1) cores
% 0.18/0.49  # new_bool_1 with pid 13763 completed with status 0
% 0.18/0.49  # Result found by new_bool_1
% 0.18/0.49  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.18/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.49  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.18/0.49  # Starting new_bool_3 with 300s (1) cores
% 0.18/0.49  # Starting new_bool_1 with 300s (1) cores
% 0.18/0.49  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.18/0.49  # Search class: FHHSF-FFMM22-MFFFFFNN
% 0.18/0.49  # partial match(1): FHHSF-FFMM22-SFFFFFNN
% 0.18/0.49  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.18/0.49  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.18/0.49  # SAT001_MinMin_p005000_rr_RG with pid 13766 completed with status 0
% 0.18/0.49  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.18/0.49  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.18/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.49  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.18/0.49  # Starting new_bool_3 with 300s (1) cores
% 0.18/0.49  # Starting new_bool_1 with 300s (1) cores
% 0.18/0.49  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.18/0.49  # Search class: FHHSF-FFMM22-MFFFFFNN
% 0.18/0.49  # partial match(1): FHHSF-FFMM22-SFFFFFNN
% 0.18/0.49  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.18/0.49  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.18/0.49  # Preprocessing time       : 0.001 s
% 0.18/0.49  # Presaturation interreduction done
% 0.18/0.49  
% 0.18/0.49  # Proof found!
% 0.18/0.49  # SZS status Unsatisfiable
% 0.18/0.49  # SZS output start CNFRefutation
% See solution above
% 0.18/0.49  # Parsed axioms                        : 197
% 0.18/0.49  # Removed by relevancy pruning/SinE    : 157
% 0.18/0.49  # Initial clauses                      : 40
% 0.18/0.49  # Removed in clause preprocessing      : 0
% 0.18/0.49  # Initial clauses in saturation        : 40
% 0.18/0.49  # Processed clauses                    : 831
% 0.18/0.49  # ...of these trivial                  : 21
% 0.18/0.49  # ...subsumed                          : 482
% 0.18/0.49  # ...remaining for further processing  : 328
% 0.18/0.49  # Other redundant clauses eliminated   : 12
% 0.18/0.49  # Clauses deleted for lack of memory   : 0
% 0.18/0.49  # Backward-subsumed                    : 42
% 0.18/0.49  # Backward-rewritten                   : 18
% 0.18/0.49  # Generated clauses                    : 2791
% 0.18/0.49  # ...of the previous two non-redundant : 2479
% 0.18/0.49  # ...aggressively subsumed             : 0
% 0.18/0.49  # Contextual simplify-reflections      : 51
% 0.18/0.49  # Paramodulations                      : 2778
% 0.18/0.49  # Factorizations                       : 0
% 0.18/0.49  # NegExts                              : 0
% 0.18/0.49  # Equation resolutions                 : 14
% 0.18/0.49  # Disequality decompositions           : 0
% 0.18/0.49  # Total rewrite steps                  : 2772
% 0.18/0.49  # ...of those cached                   : 2756
% 0.18/0.49  # Propositional unsat checks           : 0
% 0.18/0.49  #    Propositional check models        : 0
% 0.18/0.49  #    Propositional check unsatisfiable : 0
% 0.18/0.49  #    Propositional clauses             : 0
% 0.18/0.49  #    Propositional clauses after purity: 0
% 0.18/0.49  #    Propositional unsat core size     : 0
% 0.18/0.49  #    Propositional preprocessing time  : 0.000
% 0.18/0.49  #    Propositional encoding time       : 0.000
% 0.18/0.49  #    Propositional solver time         : 0.000
% 0.18/0.49  #    Success case prop preproc time    : 0.000
% 0.18/0.49  #    Success case prop encoding time   : 0.000
% 0.18/0.49  #    Success case prop solver time     : 0.000
% 0.18/0.49  # Current number of processed clauses  : 226
% 0.18/0.49  #    Positive orientable unit clauses  : 17
% 0.18/0.49  #    Positive unorientable unit clauses: 0
% 0.18/0.49  #    Negative unit clauses             : 12
% 0.18/0.49  #    Non-unit-clauses                  : 197
% 0.18/0.49  # Current number of unprocessed clauses: 1663
% 0.18/0.49  # ...number of literals in the above   : 9514
% 0.18/0.49  # Current number of archived formulas  : 0
% 0.18/0.49  # Current number of archived clauses   : 98
% 0.18/0.49  # Clause-clause subsumption calls (NU) : 13064
% 0.18/0.49  # Rec. Clause-clause subsumption calls : 3528
% 0.18/0.49  # Non-unit clause-clause subsumptions  : 462
% 0.18/0.49  # Unit Clause-clause subsumption calls : 810
% 0.18/0.49  # Rewrite failures with RHS unbound    : 0
% 0.18/0.49  # BW rewrite match attempts            : 5
% 0.18/0.49  # BW rewrite match successes           : 5
% 0.18/0.49  # Condensation attempts                : 0
% 0.18/0.49  # Condensation successes               : 0
% 0.18/0.49  # Termbank termtop insertions          : 50226
% 0.18/0.49  # Search garbage collected termcells   : 916
% 0.18/0.49  
% 0.18/0.49  # -------------------------------------------------
% 0.18/0.49  # User time                : 0.038 s
% 0.18/0.49  # System time              : 0.004 s
% 0.18/0.49  # Total time               : 0.043 s
% 0.18/0.49  # Maximum resident set size: 2088 pages
% 0.18/0.49  
% 0.18/0.49  # -------------------------------------------------
% 0.18/0.49  # User time                : 0.042 s
% 0.18/0.49  # System time              : 0.007 s
% 0.18/0.49  # Total time               : 0.049 s
% 0.18/0.49  # Maximum resident set size: 1876 pages
% 0.18/0.49  % E---3.1 exiting
% 0.18/0.49  % E exiting
%------------------------------------------------------------------------------