TSTP Solution File: SWC030-1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : SWC030-1 : TPTP v8.2.0. 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 : 300s
% WCLimit  : 300s
% DateTime : Tue May 21 04:22:41 EDT 2024

% Result   : Unsatisfiable 0.20s 0.51s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   41 (  22 unt;   2 nHn;  41 RR)
%            Number of literals    :   81 (  56 equ;  42 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   7 con; 0-2 aty)
%            Number of variables   :   18 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause119,axiom,
    ( nil = X2
    | app(X1,X2) != nil
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause119) ).

cnf(co1_10,negated_conjecture,
    app(sk6,sk5) = sk3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).

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

cnf(co1_9,negated_conjecture,
    app(sk5,sk6) = sk4,
    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_7,negated_conjecture,
    ssList(sk5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

cnf(co1_8,negated_conjecture,
    ssList(sk6),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

cnf(clause118,axiom,
    ( nil = X1
    | app(X1,X2) != nil
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause118) ).

cnf(clause145,axiom,
    ( app(X1,X2) = nil
    | nil != X1
    | nil != X2
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause145) ).

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

cnf(co1_11,negated_conjecture,
    ( nil = sk2
    | nil = sk1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).

cnf(co1_14,negated_conjecture,
    ( nil != sk1
    | nil != sk2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).

cnf(c_0_12,plain,
    ( nil = X2
    | app(X1,X2) != nil
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(fof_simplification,[status(thm)],[clause119]) ).

cnf(c_0_13,negated_conjecture,
    app(sk6,sk5) = sk3,
    co1_10 ).

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

cnf(c_0_15,negated_conjecture,
    app(sk5,sk6) = sk4,
    co1_9 ).

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

cnf(c_0_17,plain,
    ( nil = X2
    | app(X1,X2) != nil
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    c_0_12 ).

cnf(c_0_18,negated_conjecture,
    app(sk6,sk5) = sk1,
    inference(rw,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_19,negated_conjecture,
    ssList(sk5),
    co1_7 ).

cnf(c_0_20,negated_conjecture,
    ssList(sk6),
    co1_8 ).

cnf(c_0_21,plain,
    ( nil = X1
    | app(X1,X2) != nil
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(fof_simplification,[status(thm)],[clause118]) ).

cnf(c_0_22,plain,
    ( app(X1,X2) = nil
    | nil != X1
    | nil != X2
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(fof_simplification,[status(thm)],[clause145]) ).

cnf(c_0_23,negated_conjecture,
    app(sk5,sk6) = sk2,
    inference(rw,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_24,negated_conjecture,
    ( sk5 = nil
    | sk1 != 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_20])]) ).

cnf(c_0_25,plain,
    ( nil = X1
    | app(X1,X2) != nil
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    c_0_21 ).

cnf(c_0_26,plain,
    ( app(X1,X2) = nil
    | nil != X1
    | nil != X2
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    c_0_22 ).

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

cnf(c_0_28,negated_conjecture,
    ( app(nil,sk6) = sk2
    | sk1 != nil ),
    inference(spm,[status(thm)],[c_0_23,c_0_24]) ).

cnf(c_0_29,negated_conjecture,
    ( sk6 = nil
    | sk1 != nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_18]),c_0_19]),c_0_20])]) ).

cnf(c_0_30,plain,
    app(nil,nil) = nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_26])]),c_0_27])]) ).

cnf(c_0_31,negated_conjecture,
    ( nil = sk2
    | nil = sk1 ),
    co1_11 ).

cnf(c_0_32,negated_conjecture,
    ( nil != sk1
    | nil != sk2 ),
    inference(fof_simplification,[status(thm)],[co1_14]) ).

cnf(c_0_33,negated_conjecture,
    ( sk5 = nil
    | sk2 != nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_23]),c_0_20]),c_0_19])]) ).

cnf(c_0_34,negated_conjecture,
    sk2 = nil,
    inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]),c_0_31]) ).

cnf(c_0_35,negated_conjecture,
    ( sk6 = nil
    | sk2 != nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_23]),c_0_20]),c_0_19])]) ).

cnf(c_0_36,negated_conjecture,
    ( nil != sk1
    | nil != sk2 ),
    c_0_32 ).

cnf(c_0_37,negated_conjecture,
    sk5 = nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_33,c_0_34])]) ).

cnf(c_0_38,negated_conjecture,
    sk6 = nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_35,c_0_34])]) ).

cnf(c_0_39,negated_conjecture,
    sk1 != nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_36,c_0_34])]) ).

cnf(c_0_40,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_18,c_0_37]),c_0_38]),c_0_30]),c_0_39]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : SWC030-1 : TPTP v8.2.0. Released v2.4.0.
% 0.12/0.14  % Command    : run_E %s %d THM
% 0.13/0.35  % Computer : n013.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Sun May 19 03:26:08 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.20/0.49  Running first-order theorem proving
% 0.20/0.49  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
% 0.20/0.51  # Version: 3.1.0
% 0.20/0.51  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.20/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.51  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.20/0.51  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.51  # Starting new_bool_1 with 300s (1) cores
% 0.20/0.51  # Starting sh5l with 300s (1) cores
% 0.20/0.51  # new_bool_3 with pid 31080 completed with status 0
% 0.20/0.51  # Result found by new_bool_3
% 0.20/0.51  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.20/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.51  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.20/0.51  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.51  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.20/0.51  # Search class: FGHSF-FFMM22-SFFFFFNN
% 0.20/0.51  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.51  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.20/0.51  # SAT001_MinMin_p005000_rr_RG with pid 31086 completed with status 0
% 0.20/0.51  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.20/0.51  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.20/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.51  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.20/0.51  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.51  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.20/0.51  # Search class: FGHSF-FFMM22-SFFFFFNN
% 0.20/0.51  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.51  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.20/0.51  # Preprocessing time       : 0.003 s
% 0.20/0.51  # Presaturation interreduction done
% 0.20/0.51  
% 0.20/0.51  # Proof found!
% 0.20/0.51  # SZS status Unsatisfiable
% 0.20/0.51  # SZS output start CNFRefutation
% See solution above
% 0.20/0.51  # Parsed axioms                        : 199
% 0.20/0.51  # Removed by relevancy pruning/SinE    : 168
% 0.20/0.51  # Initial clauses                      : 31
% 0.20/0.51  # Removed in clause preprocessing      : 2
% 0.20/0.51  # Initial clauses in saturation        : 29
% 0.20/0.51  # Processed clauses                    : 79
% 0.20/0.51  # ...of these trivial                  : 4
% 0.20/0.51  # ...subsumed                          : 3
% 0.20/0.51  # ...remaining for further processing  : 71
% 0.20/0.51  # Other redundant clauses eliminated   : 6
% 0.20/0.51  # Clauses deleted for lack of memory   : 0
% 0.20/0.51  # Backward-subsumed                    : 3
% 0.20/0.51  # Backward-rewritten                   : 11
% 0.20/0.51  # Generated clauses                    : 110
% 0.20/0.51  # ...of the previous two non-redundant : 95
% 0.20/0.51  # ...aggressively subsumed             : 0
% 0.20/0.51  # Contextual simplify-reflections      : 5
% 0.20/0.51  # Paramodulations                      : 103
% 0.20/0.51  # Factorizations                       : 0
% 0.20/0.51  # NegExts                              : 0
% 0.20/0.51  # Equation resolutions                 : 8
% 0.20/0.51  # Disequality decompositions           : 0
% 0.20/0.51  # Total rewrite steps                  : 119
% 0.20/0.51  # ...of those cached                   : 108
% 0.20/0.51  # Propositional unsat checks           : 0
% 0.20/0.51  #    Propositional check models        : 0
% 0.20/0.51  #    Propositional check unsatisfiable : 0
% 0.20/0.51  #    Propositional clauses             : 0
% 0.20/0.51  #    Propositional clauses after purity: 0
% 0.20/0.51  #    Propositional unsat core size     : 0
% 0.20/0.51  #    Propositional preprocessing time  : 0.000
% 0.20/0.51  #    Propositional encoding time       : 0.000
% 0.20/0.51  #    Propositional solver time         : 0.000
% 0.20/0.51  #    Success case prop preproc time    : 0.000
% 0.20/0.51  #    Success case prop encoding time   : 0.000
% 0.20/0.51  #    Success case prop solver time     : 0.000
% 0.20/0.51  # Current number of processed clauses  : 29
% 0.20/0.51  #    Positive orientable unit clauses  : 8
% 0.20/0.51  #    Positive unorientable unit clauses: 0
% 0.20/0.51  #    Negative unit clauses             : 1
% 0.20/0.51  #    Non-unit-clauses                  : 20
% 0.20/0.51  # Current number of unprocessed clauses: 70
% 0.20/0.51  # ...number of literals in the above   : 269
% 0.20/0.51  # Current number of archived formulas  : 0
% 0.20/0.51  # Current number of archived clauses   : 41
% 0.20/0.51  # Clause-clause subsumption calls (NU) : 168
% 0.20/0.51  # Rec. Clause-clause subsumption calls : 58
% 0.20/0.51  # Non-unit clause-clause subsumptions  : 7
% 0.20/0.51  # Unit Clause-clause subsumption calls : 3
% 0.20/0.51  # Rewrite failures with RHS unbound    : 0
% 0.20/0.51  # BW rewrite match attempts            : 3
% 0.20/0.51  # BW rewrite match successes           : 3
% 0.20/0.51  # Condensation attempts                : 0
% 0.20/0.51  # Condensation successes               : 0
% 0.20/0.51  # Termbank termtop insertions          : 4044
% 0.20/0.51  # Search garbage collected termcells   : 926
% 0.20/0.51  
% 0.20/0.51  # -------------------------------------------------
% 0.20/0.51  # User time                : 0.008 s
% 0.20/0.51  # System time              : 0.004 s
% 0.20/0.51  # Total time               : 0.012 s
% 0.20/0.51  # Maximum resident set size: 1936 pages
% 0.20/0.51  
% 0.20/0.51  # -------------------------------------------------
% 0.20/0.51  # User time                : 0.011 s
% 0.20/0.51  # System time              : 0.008 s
% 0.20/0.51  # Total time               : 0.018 s
% 0.20/0.51  # Maximum resident set size: 1868 pages
% 0.20/0.51  % E---3.1 exiting
% 0.20/0.51  % E exiting
%------------------------------------------------------------------------------