TSTP Solution File: SWC024-1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : SWC024-1 : TPTP v8.2.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n023.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 04:22:39 EDT 2024

% Result   : Unsatisfiable 0.20s 0.46s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   14
% Syntax   : Number of clauses     :   47 (  21 unt;   4 nHn;  47 RR)
%            Number of literals    :  107 (  24 equ;  66 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    2 (   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   :   38 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause115,axiom,
    ( X1 != X2
    | ~ neq(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause115) ).

cnf(co1_7,negated_conjecture,
    neq(sk2,nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).

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

cnf(co1_13,negated_conjecture,
    ( nil = sk4
    | nil != sk3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).

cnf(clause100,axiom,
    ( neq(X2,X1)
    | X2 = X1
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause100) ).

cnf(co1_1,negated_conjecture,
    ssList(sk1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_1) ).

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

cnf(clause144,axiom,
    ( frontsegP(X3,X1)
    | app(X1,X2) != X3
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ ssList(X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause144) ).

cnf(clause85,axiom,
    ( ssList(app(X2,X1))
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause85) ).

cnf(co1_8,negated_conjecture,
    ( ~ ssList(X1)
    | ~ neq(X1,nil)
    | ~ frontsegP(sk2,X1)
    | ~ frontsegP(sk1,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).

cnf(clause8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause8) ).

cnf(co1_10,negated_conjecture,
    app(sk3,sk5) = sk4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).

cnf(co1_9,negated_conjecture,
    ssList(sk5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).

cnf(clause61,axiom,
    ( frontsegP(X1,X1)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause61) ).

cnf(c_0_14,plain,
    ( X1 != X2
    | ~ neq(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(fof_simplification,[status(thm)],[clause115]) ).

cnf(c_0_15,negated_conjecture,
    neq(sk2,nil),
    co1_7 ).

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

cnf(c_0_17,negated_conjecture,
    ( nil = sk4
    | nil != sk3 ),
    inference(fof_simplification,[status(thm)],[co1_13]) ).

cnf(c_0_18,plain,
    ( neq(X2,X1)
    | X2 = X1
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(fof_simplification,[status(thm)],[clause100]) ).

cnf(c_0_19,negated_conjecture,
    ssList(sk1),
    co1_1 ).

cnf(c_0_20,negated_conjecture,
    sk1 = sk3,
    co1_6 ).

cnf(c_0_21,plain,
    ( X1 != X2
    | ~ neq(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    c_0_14 ).

cnf(c_0_22,negated_conjecture,
    neq(sk4,nil),
    inference(rw,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_23,negated_conjecture,
    ( nil = sk4
    | nil != sk3 ),
    c_0_17 ).

cnf(c_0_24,plain,
    ( frontsegP(X3,X1)
    | app(X1,X2) != X3
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ ssList(X3) ),
    inference(fof_simplification,[status(thm)],[clause144]) ).

cnf(c_0_25,plain,
    ( ssList(app(X2,X1))
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(fof_simplification,[status(thm)],[clause85]) ).

cnf(c_0_26,negated_conjecture,
    ( ~ ssList(X1)
    | ~ neq(X1,nil)
    | ~ frontsegP(sk2,X1)
    | ~ frontsegP(sk1,X1) ),
    inference(fof_simplification,[status(thm)],[co1_8]) ).

cnf(c_0_27,plain,
    ( neq(X2,X1)
    | X2 = X1
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    c_0_18 ).

cnf(c_0_28,negated_conjecture,
    ssList(sk3),
    inference(rw,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_29,plain,
    ( ~ neq(X1,X1)
    | ~ ssList(X1) ),
    inference(er,[status(thm)],[c_0_21]) ).

cnf(c_0_30,negated_conjecture,
    ( neq(nil,nil)
    | sk3 != nil ),
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

cnf(c_0_31,axiom,
    ssList(nil),
    clause8 ).

cnf(c_0_32,plain,
    ( frontsegP(X3,X1)
    | app(X1,X2) != X3
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ ssList(X3) ),
    c_0_24 ).

cnf(c_0_33,plain,
    ( ssList(app(X2,X1))
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    c_0_25 ).

cnf(c_0_34,negated_conjecture,
    ( ~ ssList(X1)
    | ~ neq(X1,nil)
    | ~ frontsegP(sk2,X1)
    | ~ frontsegP(sk1,X1) ),
    c_0_26 ).

cnf(c_0_35,negated_conjecture,
    ( X1 = sk3
    | neq(sk3,X1)
    | ~ ssList(X1) ),
    inference(spm,[status(thm)],[c_0_27,c_0_28]) ).

cnf(c_0_36,negated_conjecture,
    sk3 != nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31])]) ).

cnf(c_0_37,plain,
    ( frontsegP(app(X1,X2),X1)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_32]),c_0_33]) ).

cnf(c_0_38,negated_conjecture,
    app(sk3,sk5) = sk4,
    co1_10 ).

cnf(c_0_39,negated_conjecture,
    ssList(sk5),
    co1_9 ).

cnf(c_0_40,negated_conjecture,
    ( ~ neq(X1,nil)
    | ~ frontsegP(sk3,X1)
    | ~ frontsegP(sk4,X1)
    | ~ ssList(X1) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_34,c_0_20]),c_0_16]) ).

cnf(c_0_41,negated_conjecture,
    neq(sk3,nil),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_31]),c_0_36]) ).

cnf(c_0_42,negated_conjecture,
    frontsegP(sk4,sk3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39]),c_0_28])]) ).

cnf(c_0_43,plain,
    ( frontsegP(X1,X1)
    | ~ ssList(X1) ),
    inference(fof_simplification,[status(thm)],[clause61]) ).

cnf(c_0_44,negated_conjecture,
    ~ frontsegP(sk3,sk3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42]),c_0_28])]) ).

cnf(c_0_45,plain,
    ( frontsegP(X1,X1)
    | ~ ssList(X1) ),
    c_0_43 ).

cnf(c_0_46,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_28])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10  % Problem    : SWC024-1 : TPTP v8.2.0. Released v2.4.0.
% 0.02/0.11  % Command    : run_E %s %d THM
% 0.11/0.34  % Computer : n023.cluster.edu
% 0.11/0.34  % Model    : x86_64 x86_64
% 0.11/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.34  % Memory   : 8042.1875MB
% 0.11/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.34  % CPULimit   : 300
% 0.11/0.34  % WCLimit    : 300
% 0.11/0.34  % DateTime   : Sun May 19 03:33:53 EDT 2024
% 0.11/0.34  % CPUTime    : 
% 0.20/0.44  Running first-order theorem proving
% 0.20/0.44  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
% 0.20/0.46  # Version: 3.1.0
% 0.20/0.46  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.20/0.46  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.46  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.20/0.46  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.46  # Starting new_bool_1 with 300s (1) cores
% 0.20/0.46  # Starting sh5l with 300s (1) cores
% 0.20/0.46  # new_bool_1 with pid 28764 completed with status 0
% 0.20/0.46  # Result found by new_bool_1
% 0.20/0.46  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.20/0.46  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.46  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.20/0.46  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.46  # Starting new_bool_1 with 300s (1) cores
% 0.20/0.46  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.20/0.46  # Search class: FGHSF-FFMM22-MFFFFFNN
% 0.20/0.46  # partial match(1): FGHSF-FFMM21-MFFFFFNN
% 0.20/0.46  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.46  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 0.20/0.46  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 28766 completed with status 0
% 0.20/0.46  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.20/0.46  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.20/0.46  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.46  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.20/0.46  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.46  # Starting new_bool_1 with 300s (1) cores
% 0.20/0.46  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.20/0.46  # Search class: FGHSF-FFMM22-MFFFFFNN
% 0.20/0.46  # partial match(1): FGHSF-FFMM21-MFFFFFNN
% 0.20/0.46  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.46  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 0.20/0.46  # Preprocessing time       : 0.002 s
% 0.20/0.46  # Presaturation interreduction done
% 0.20/0.46  
% 0.20/0.46  # Proof found!
% 0.20/0.46  # SZS status Unsatisfiable
% 0.20/0.46  # SZS output start CNFRefutation
% See solution above
% 0.20/0.46  # Parsed axioms                        : 198
% 0.20/0.46  # Removed by relevancy pruning/SinE    : 150
% 0.20/0.46  # Initial clauses                      : 48
% 0.20/0.46  # Removed in clause preprocessing      : 0
% 0.20/0.46  # Initial clauses in saturation        : 48
% 0.20/0.46  # Processed clauses                    : 140
% 0.20/0.46  # ...of these trivial                  : 2
% 0.20/0.46  # ...subsumed                          : 10
% 0.20/0.46  # ...remaining for further processing  : 128
% 0.20/0.46  # Other redundant clauses eliminated   : 12
% 0.20/0.46  # Clauses deleted for lack of memory   : 0
% 0.20/0.46  # Backward-subsumed                    : 4
% 0.20/0.46  # Backward-rewritten                   : 0
% 0.20/0.46  # Generated clauses                    : 175
% 0.20/0.46  # ...of the previous two non-redundant : 143
% 0.20/0.46  # ...aggressively subsumed             : 0
% 0.20/0.46  # Contextual simplify-reflections      : 1
% 0.20/0.46  # Paramodulations                      : 158
% 0.20/0.46  # Factorizations                       : 0
% 0.20/0.46  # NegExts                              : 0
% 0.20/0.46  # Equation resolutions                 : 16
% 0.20/0.46  # Disequality decompositions           : 0
% 0.20/0.46  # Total rewrite steps                  : 120
% 0.20/0.46  # ...of those cached                   : 111
% 0.20/0.46  # Propositional unsat checks           : 0
% 0.20/0.46  #    Propositional check models        : 0
% 0.20/0.46  #    Propositional check unsatisfiable : 0
% 0.20/0.46  #    Propositional clauses             : 0
% 0.20/0.46  #    Propositional clauses after purity: 0
% 0.20/0.46  #    Propositional unsat core size     : 0
% 0.20/0.46  #    Propositional preprocessing time  : 0.000
% 0.20/0.46  #    Propositional encoding time       : 0.000
% 0.20/0.46  #    Propositional solver time         : 0.000
% 0.20/0.46  #    Success case prop preproc time    : 0.000
% 0.20/0.46  #    Success case prop encoding time   : 0.000
% 0.20/0.46  #    Success case prop solver time     : 0.000
% 0.20/0.46  # Current number of processed clauses  : 69
% 0.20/0.46  #    Positive orientable unit clauses  : 16
% 0.20/0.46  #    Positive unorientable unit clauses: 0
% 0.20/0.46  #    Negative unit clauses             : 5
% 0.20/0.46  #    Non-unit-clauses                  : 48
% 0.20/0.46  # Current number of unprocessed clauses: 95
% 0.20/0.46  # ...number of literals in the above   : 481
% 0.20/0.46  # Current number of archived formulas  : 0
% 0.20/0.46  # Current number of archived clauses   : 52
% 0.20/0.46  # Clause-clause subsumption calls (NU) : 1050
% 0.20/0.46  # Rec. Clause-clause subsumption calls : 176
% 0.20/0.46  # Non-unit clause-clause subsumptions  : 8
% 0.20/0.46  # Unit Clause-clause subsumption calls : 77
% 0.20/0.46  # Rewrite failures with RHS unbound    : 0
% 0.20/0.46  # BW rewrite match attempts            : 0
% 0.20/0.46  # BW rewrite match successes           : 0
% 0.20/0.46  # Condensation attempts                : 0
% 0.20/0.46  # Condensation successes               : 0
% 0.20/0.46  # Termbank termtop insertions          : 5988
% 0.20/0.46  # Search garbage collected termcells   : 915
% 0.20/0.46  
% 0.20/0.46  # -------------------------------------------------
% 0.20/0.46  # User time                : 0.009 s
% 0.20/0.46  # System time              : 0.002 s
% 0.20/0.46  # Total time               : 0.010 s
% 0.20/0.46  # Maximum resident set size: 2084 pages
% 0.20/0.46  
% 0.20/0.46  # -------------------------------------------------
% 0.20/0.46  # User time                : 0.012 s
% 0.20/0.46  # System time              : 0.003 s
% 0.20/0.46  # Total time               : 0.015 s
% 0.20/0.46  # Maximum resident set size: 1876 pages
% 0.20/0.46  % E---3.1 exiting
% 0.20/0.46  % E exiting
%------------------------------------------------------------------------------