TSTP Solution File: SWC008-1 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : SWC008-1 : TPTP v8.2.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n019.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 04:26:53 EDT 2024

% Result   : Unsatisfiable 0.21s 0.53s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   30 (  19 unt;   0 nHn;  28 RR)
%            Number of literals    :   59 (  21 equ;  35 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :   26 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(co1_9,negated_conjecture,
    ( ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | app(app(X1,X2),X3) != sk2
    | app(X1,X3) != sk1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).

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

cnf(clause73,axiom,
    ( app(X1,nil) = X1
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause73) ).

cnf(clause132,axiom,
    ( app(X2,skaf45(X1,X2)) = X1
    | ~ frontsegP(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause132) ).

cnf(co1_7,negated_conjecture,
    frontsegP(sk4,sk3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).

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

cnf(co1_2,negated_conjecture,
    ssList(sk2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_2) ).

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

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

cnf(clause51,axiom,
    ssList(skaf45(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause51) ).

cnf(c_0_10,negated_conjecture,
    ( ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | app(app(X1,X2),X3) != sk2
    | app(X1,X3) != sk1 ),
    inference(fof_simplification,[status(thm)],[co1_9]) ).

cnf(c_0_11,negated_conjecture,
    ( ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | app(app(X1,X2),X3) != sk2
    | app(X1,X3) != sk1 ),
    c_0_10 ).

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

cnf(c_0_13,plain,
    ( app(X1,nil) = X1
    | ~ ssList(X1) ),
    inference(fof_simplification,[status(thm)],[clause73]) ).

cnf(c_0_14,plain,
    ( app(X2,skaf45(X1,X2)) = X1
    | ~ frontsegP(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(fof_simplification,[status(thm)],[clause132]) ).

cnf(c_0_15,negated_conjecture,
    frontsegP(sk4,sk3),
    co1_7 ).

cnf(c_0_16,negated_conjecture,
    sk1 = sk3,
    co1_6 ).

cnf(c_0_17,negated_conjecture,
    ssList(sk2),
    co1_2 ).

cnf(c_0_18,negated_conjecture,
    ( app(app(X1,X2),X3) != sk4
    | app(X1,X3) != sk1
    | ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(rw,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_19,plain,
    ( app(X1,nil) = X1
    | ~ ssList(X1) ),
    c_0_13 ).

cnf(c_0_20,axiom,
    ssList(nil),
    clause8 ).

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

cnf(c_0_22,plain,
    ( app(X2,skaf45(X1,X2)) = X1
    | ~ frontsegP(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    c_0_14 ).

cnf(c_0_23,negated_conjecture,
    frontsegP(sk4,sk1),
    inference(rw,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_24,negated_conjecture,
    ssList(sk4),
    inference(rw,[status(thm)],[c_0_17,c_0_12]) ).

cnf(c_0_25,negated_conjecture,
    ( app(app(sk1,X1),nil) != sk4
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20])])]),c_0_21])]) ).

cnf(c_0_26,negated_conjecture,
    app(sk1,skaf45(sk4,sk1)) = sk4,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_21]),c_0_24])]) ).

cnf(c_0_27,axiom,
    ssList(skaf45(X1,X2)),
    clause51 ).

cnf(c_0_28,negated_conjecture,
    app(sk4,nil) != sk4,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27])]) ).

cnf(c_0_29,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_19]),c_0_24])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : SWC008-1 : TPTP v8.2.0. Released v2.4.0.
% 0.10/0.14  % Command    : run_E %s %d THM
% 0.15/0.35  % Computer : n019.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   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Sun May 19 03:45:38 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.21/0.49  Running first-order model finding
% 0.21/0.49  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.53  # Version: 3.1.0
% 0.21/0.53  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.21/0.53  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.53  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.21/0.53  # Starting new_bool_3 with 300s (1) cores
% 0.21/0.53  # Starting new_bool_1 with 300s (1) cores
% 0.21/0.53  # Starting sh5l with 300s (1) cores
% 0.21/0.53  # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 2669 completed with status 0
% 0.21/0.53  # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.21/0.53  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.21/0.53  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.53  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.21/0.53  # No SInE strategy applied
% 0.21/0.53  # Search class: FGHSM-FSLM21-MFFFFFNN
% 0.21/0.53  # Scheduled 9 strats onto 5 cores with 1500 seconds (1500 total)
% 0.21/0.53  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2s with 406s (1) cores
% 0.21/0.53  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.21/0.53  # Starting G-E--_200_B02_F1_SE_CS_SP_PI_S2k with 136s (1) cores
% 0.21/0.53  # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S04BN with 136s (1) cores
% 0.21/0.53  # Starting G-E--_200_B02_F1_SE_CS_SP_PI_S0S with 136s (1) cores
% 0.21/0.53  # G-E--_200_B02_F1_SE_CS_SP_PI_S2k with pid 2677 completed with status 0
% 0.21/0.53  # Result found by G-E--_200_B02_F1_SE_CS_SP_PI_S2k
% 0.21/0.53  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.21/0.53  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.53  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.21/0.53  # No SInE strategy applied
% 0.21/0.53  # Search class: FGHSM-FSLM21-MFFFFFNN
% 0.21/0.53  # Scheduled 9 strats onto 5 cores with 1500 seconds (1500 total)
% 0.21/0.53  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2s with 406s (1) cores
% 0.21/0.53  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.21/0.53  # Starting G-E--_200_B02_F1_SE_CS_SP_PI_S2k with 136s (1) cores
% 0.21/0.53  # Preprocessing time       : 0.003 s
% 0.21/0.53  
% 0.21/0.53  # Proof found!
% 0.21/0.53  # SZS status Unsatisfiable
% 0.21/0.53  # SZS output start CNFRefutation
% See solution above
% 0.21/0.53  # Parsed axioms                        : 195
% 0.21/0.53  # Removed by relevancy pruning/SinE    : 0
% 0.21/0.53  # Initial clauses                      : 195
% 0.21/0.53  # Removed in clause preprocessing      : 0
% 0.21/0.53  # Initial clauses in saturation        : 195
% 0.21/0.53  # Processed clauses                    : 218
% 0.21/0.53  # ...of these trivial                  : 2
% 0.21/0.53  # ...subsumed                          : 8
% 0.21/0.53  # ...remaining for further processing  : 208
% 0.21/0.53  # Other redundant clauses eliminated   : 67
% 0.21/0.53  # Clauses deleted for lack of memory   : 0
% 0.21/0.53  # Backward-subsumed                    : 0
% 0.21/0.53  # Backward-rewritten                   : 0
% 0.21/0.53  # Generated clauses                    : 449
% 0.21/0.53  # ...of the previous two non-redundant : 357
% 0.21/0.53  # ...aggressively subsumed             : 0
% 0.21/0.53  # Contextual simplify-reflections      : 0
% 0.21/0.53  # Paramodulations                      : 378
% 0.21/0.53  # Factorizations                       : 0
% 0.21/0.53  # NegExts                              : 0
% 0.21/0.53  # Equation resolutions                 : 72
% 0.21/0.53  # Disequality decompositions           : 0
% 0.21/0.53  # Total rewrite steps                  : 290
% 0.21/0.53  # ...of those cached                   : 233
% 0.21/0.53  # Propositional unsat checks           : 0
% 0.21/0.53  #    Propositional check models        : 0
% 0.21/0.53  #    Propositional check unsatisfiable : 0
% 0.21/0.53  #    Propositional clauses             : 0
% 0.21/0.53  #    Propositional clauses after purity: 0
% 0.21/0.53  #    Propositional unsat core size     : 0
% 0.21/0.53  #    Propositional preprocessing time  : 0.000
% 0.21/0.53  #    Propositional encoding time       : 0.000
% 0.21/0.53  #    Propositional solver time         : 0.000
% 0.21/0.53  #    Success case prop preproc time    : 0.000
% 0.21/0.53  #    Success case prop encoding time   : 0.000
% 0.21/0.53  #    Success case prop solver time     : 0.000
% 0.21/0.53  # Current number of processed clauses  : 185
% 0.21/0.53  #    Positive orientable unit clauses  : 60
% 0.21/0.53  #    Positive unorientable unit clauses: 0
% 0.21/0.53  #    Negative unit clauses             : 6
% 0.21/0.53  #    Non-unit-clauses                  : 119
% 0.21/0.53  # Current number of unprocessed clauses: 334
% 0.21/0.53  # ...number of literals in the above   : 1638
% 0.21/0.53  # Current number of archived formulas  : 0
% 0.21/0.53  # Current number of archived clauses   : 0
% 0.21/0.53  # Clause-clause subsumption calls (NU) : 4001
% 0.21/0.53  # Rec. Clause-clause subsumption calls : 486
% 0.21/0.53  # Non-unit clause-clause subsumptions  : 4
% 0.21/0.53  # Unit Clause-clause subsumption calls : 36
% 0.21/0.53  # Rewrite failures with RHS unbound    : 0
% 0.21/0.53  # BW rewrite match attempts            : 0
% 0.21/0.53  # BW rewrite match successes           : 0
% 0.21/0.53  # Condensation attempts                : 0
% 0.21/0.53  # Condensation successes               : 0
% 0.21/0.53  # Termbank termtop insertions          : 14437
% 0.21/0.53  # Search garbage collected termcells   : 546
% 0.21/0.53  
% 0.21/0.53  # -------------------------------------------------
% 0.21/0.53  # User time                : 0.023 s
% 0.21/0.53  # System time              : 0.006 s
% 0.21/0.53  # Total time               : 0.029 s
% 0.21/0.53  # Maximum resident set size: 2144 pages
% 0.21/0.53  
% 0.21/0.53  # -------------------------------------------------
% 0.21/0.53  # User time                : 0.110 s
% 0.21/0.53  # System time              : 0.018 s
% 0.21/0.53  # Total time               : 0.128 s
% 0.21/0.53  # Maximum resident set size: 1896 pages
% 0.21/0.53  % E---3.1 exiting
%------------------------------------------------------------------------------