TSTP Solution File: SWC010-1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : SWC010-1 : TPTP v8.2.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n009.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 04:22:33 EDT 2024

% Result   : Unsatisfiable 0.15s 0.42s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   33 (  13 unt;   1 nHn;  33 RR)
%            Number of literals    :   68 (  20 equ;  38 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   8 con; 0-2 aty)
%            Number of variables   :   12 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(co1_7,negated_conjecture,
    ( neq(sk2,nil)
    | neq(sk2,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).

cnf(co1_16,negated_conjecture,
    ( ~ ssItem(X1)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | app(app(X2,cons(X1,nil)),X3) != sk2
    | app(X2,X3) != sk1
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_16) ).

cnf(co1_5,negated_conjecture,
    sk2 = sk4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).

cnf(co1_20,negated_conjecture,
    ( app(app(sk6,cons(sk5,nil)),sk7) = sk4
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_20) ).

cnf(co1_21,negated_conjecture,
    ( app(sk6,sk7) = sk3
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_21) ).

cnf(co1_17,negated_conjecture,
    ( ssItem(sk5)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_17) ).

cnf(co1_19,negated_conjecture,
    ( ssList(sk7)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_19) ).

cnf(co1_18,negated_conjecture,
    ( ssList(sk6)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_18) ).

cnf(co1_6,negated_conjecture,
    sk1 = sk3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).

cnf(c_0_9,negated_conjecture,
    neq(sk2,nil),
    inference(fof_simplification,[status(thm)],[co1_7]) ).

cnf(c_0_10,negated_conjecture,
    ( ~ ssItem(X1)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | app(app(X2,cons(X1,nil)),X3) != sk2
    | app(X2,X3) != sk1
    | ~ neq(sk4,nil) ),
    inference(fof_simplification,[status(thm)],[co1_16]) ).

cnf(c_0_11,negated_conjecture,
    neq(sk2,nil),
    c_0_9 ).

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

cnf(c_0_13,negated_conjecture,
    ( app(app(sk6,cons(sk5,nil)),sk7) = sk4
    | ~ neq(sk4,nil) ),
    inference(fof_simplification,[status(thm)],[co1_20]) ).

cnf(c_0_14,negated_conjecture,
    ( app(sk6,sk7) = sk3
    | ~ neq(sk4,nil) ),
    inference(fof_simplification,[status(thm)],[co1_21]) ).

cnf(c_0_15,negated_conjecture,
    ( ssItem(sk5)
    | ~ neq(sk4,nil) ),
    inference(fof_simplification,[status(thm)],[co1_17]) ).

cnf(c_0_16,negated_conjecture,
    ( ssList(sk7)
    | ~ neq(sk4,nil) ),
    inference(fof_simplification,[status(thm)],[co1_19]) ).

cnf(c_0_17,negated_conjecture,
    ( ssList(sk6)
    | ~ neq(sk4,nil) ),
    inference(fof_simplification,[status(thm)],[co1_18]) ).

cnf(c_0_18,negated_conjecture,
    ( ~ ssItem(X1)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | app(app(X2,cons(X1,nil)),X3) != sk2
    | app(X2,X3) != sk1
    | ~ neq(sk4,nil) ),
    c_0_10 ).

cnf(c_0_19,negated_conjecture,
    neq(sk4,nil),
    inference(rw,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_20,negated_conjecture,
    ( app(app(sk6,cons(sk5,nil)),sk7) = sk4
    | ~ neq(sk4,nil) ),
    c_0_13 ).

cnf(c_0_21,negated_conjecture,
    ( app(sk6,sk7) = sk3
    | ~ neq(sk4,nil) ),
    c_0_14 ).

cnf(c_0_22,negated_conjecture,
    sk1 = sk3,
    co1_6 ).

cnf(c_0_23,negated_conjecture,
    ( ssItem(sk5)
    | ~ neq(sk4,nil) ),
    c_0_15 ).

cnf(c_0_24,negated_conjecture,
    ( ssList(sk7)
    | ~ neq(sk4,nil) ),
    c_0_16 ).

cnf(c_0_25,negated_conjecture,
    ( ssList(sk6)
    | ~ neq(sk4,nil) ),
    c_0_17 ).

cnf(c_0_26,negated_conjecture,
    ( app(app(X1,cons(X2,nil)),X3) != sk4
    | app(X1,X3) != sk1
    | ~ ssItem(X2)
    | ~ ssList(X3)
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_18,c_0_12]),c_0_19])]) ).

cnf(c_0_27,negated_conjecture,
    app(app(sk6,cons(sk5,nil)),sk7) = sk4,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_19])]) ).

cnf(c_0_28,negated_conjecture,
    app(sk6,sk7) = sk1,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_22]),c_0_19])]) ).

cnf(c_0_29,negated_conjecture,
    ssItem(sk5),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_19])]) ).

cnf(c_0_30,negated_conjecture,
    ssList(sk7),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_19])]) ).

cnf(c_0_31,negated_conjecture,
    ssList(sk6),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_19])]) ).

cnf(c_0_32,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]),c_0_29]),c_0_30]),c_0_31])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09  % Problem    : SWC010-1 : TPTP v8.2.0. Released v2.4.0.
% 0.05/0.10  % Command    : run_E %s %d THM
% 0.10/0.29  % Computer : n009.cluster.edu
% 0.10/0.29  % Model    : x86_64 x86_64
% 0.10/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29  % Memory   : 8042.1875MB
% 0.10/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29  % CPULimit   : 300
% 0.10/0.29  % WCLimit    : 300
% 0.10/0.29  % DateTime   : Sun May 19 03:10:23 EDT 2024
% 0.10/0.30  % CPUTime    : 
% 0.15/0.40  Running first-order theorem proving
% 0.15/0.40  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/benchmark/theBenchmark.p
% 0.15/0.42  # Version: 3.1.0
% 0.15/0.42  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.15/0.42  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.42  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.15/0.42  # Starting new_bool_3 with 300s (1) cores
% 0.15/0.42  # Starting new_bool_1 with 300s (1) cores
% 0.15/0.42  # Starting sh5l with 300s (1) cores
% 0.15/0.42  # new_bool_3 with pid 23749 completed with status 0
% 0.15/0.42  # Result found by new_bool_3
% 0.15/0.42  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.15/0.42  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.42  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.15/0.42  # Starting new_bool_3 with 300s (1) cores
% 0.15/0.42  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.42  # Search class: FGHSF-FFMM22-MFFFFFNN
% 0.15/0.42  # partial match(1): FGHSF-FFMM21-MFFFFFNN
% 0.15/0.42  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.42  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 0.15/0.42  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 23753 completed with status 0
% 0.15/0.42  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.15/0.42  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.15/0.42  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.42  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.15/0.42  # Starting new_bool_3 with 300s (1) cores
% 0.15/0.42  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.42  # Search class: FGHSF-FFMM22-MFFFFFNN
% 0.15/0.42  # partial match(1): FGHSF-FFMM21-MFFFFFNN
% 0.15/0.42  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.42  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 0.15/0.42  # Preprocessing time       : 0.002 s
% 0.15/0.42  # Presaturation interreduction done
% 0.15/0.42  
% 0.15/0.42  # Proof found!
% 0.15/0.42  # SZS status Unsatisfiable
% 0.15/0.42  # SZS output start CNFRefutation
% See solution above
% 0.15/0.42  # Parsed axioms                        : 207
% 0.15/0.42  # Removed by relevancy pruning/SinE    : 140
% 0.15/0.42  # Initial clauses                      : 67
% 0.15/0.42  # Removed in clause preprocessing      : 0
% 0.15/0.42  # Initial clauses in saturation        : 67
% 0.15/0.42  # Processed clauses                    : 127
% 0.15/0.42  # ...of these trivial                  : 10
% 0.15/0.42  # ...subsumed                          : 4
% 0.15/0.42  # ...remaining for further processing  : 113
% 0.15/0.42  # Other redundant clauses eliminated   : 11
% 0.15/0.42  # Clauses deleted for lack of memory   : 0
% 0.15/0.42  # Backward-subsumed                    : 2
% 0.15/0.42  # Backward-rewritten                   : 0
% 0.15/0.42  # Generated clauses                    : 100
% 0.15/0.42  # ...of the previous two non-redundant : 77
% 0.15/0.42  # ...aggressively subsumed             : 0
% 0.15/0.42  # Contextual simplify-reflections      : 0
% 0.15/0.42  # Paramodulations                      : 88
% 0.15/0.42  # Factorizations                       : 0
% 0.15/0.42  # NegExts                              : 0
% 0.15/0.42  # Equation resolutions                 : 13
% 0.15/0.42  # Disequality decompositions           : 0
% 0.15/0.42  # Total rewrite steps                  : 125
% 0.15/0.42  # ...of those cached                   : 113
% 0.15/0.42  # Propositional unsat checks           : 0
% 0.15/0.42  #    Propositional check models        : 0
% 0.15/0.42  #    Propositional check unsatisfiable : 0
% 0.15/0.42  #    Propositional clauses             : 0
% 0.15/0.42  #    Propositional clauses after purity: 0
% 0.15/0.42  #    Propositional unsat core size     : 0
% 0.15/0.42  #    Propositional preprocessing time  : 0.000
% 0.15/0.42  #    Propositional encoding time       : 0.000
% 0.15/0.42  #    Propositional solver time         : 0.000
% 0.15/0.42  #    Success case prop preproc time    : 0.000
% 0.15/0.42  #    Success case prop encoding time   : 0.000
% 0.15/0.42  #    Success case prop solver time     : 0.000
% 0.15/0.42  # Current number of processed clauses  : 50
% 0.15/0.42  #    Positive orientable unit clauses  : 12
% 0.15/0.42  #    Positive unorientable unit clauses: 0
% 0.15/0.42  #    Negative unit clauses             : 0
% 0.15/0.42  #    Non-unit-clauses                  : 38
% 0.15/0.42  # Current number of unprocessed clauses: 68
% 0.15/0.42  # ...number of literals in the above   : 287
% 0.15/0.42  # Current number of archived formulas  : 0
% 0.15/0.42  # Current number of archived clauses   : 57
% 0.15/0.42  # Clause-clause subsumption calls (NU) : 1073
% 0.15/0.42  # Rec. Clause-clause subsumption calls : 224
% 0.15/0.42  # Non-unit clause-clause subsumptions  : 6
% 0.15/0.42  # Unit Clause-clause subsumption calls : 2
% 0.15/0.42  # Rewrite failures with RHS unbound    : 0
% 0.15/0.42  # BW rewrite match attempts            : 0
% 0.15/0.42  # BW rewrite match successes           : 0
% 0.15/0.42  # Condensation attempts                : 0
% 0.15/0.42  # Condensation successes               : 0
% 0.15/0.42  # Termbank termtop insertions          : 5712
% 0.15/0.42  # Search garbage collected termcells   : 908
% 0.15/0.42  
% 0.15/0.42  # -------------------------------------------------
% 0.15/0.42  # User time                : 0.008 s
% 0.15/0.42  # System time              : 0.004 s
% 0.15/0.42  # Total time               : 0.012 s
% 0.15/0.42  # Maximum resident set size: 2108 pages
% 0.15/0.42  
% 0.15/0.42  # -------------------------------------------------
% 0.15/0.42  # User time                : 0.014 s
% 0.15/0.42  # System time              : 0.004 s
% 0.15/0.42  # Total time               : 0.018 s
% 0.15/0.42  # Maximum resident set size: 1880 pages
% 0.15/0.42  % E---3.1 exiting
% 0.15/0.42  % E exiting
%------------------------------------------------------------------------------