TSTP Solution File: SWC371-1 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : SWC371-1 : TPTP v8.2.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n004.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 04:29:19 EDT 2024

% Result   : Unsatisfiable 1.00s 0.58s
% Output   : CNFRefutation 1.00s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   30 (  19 unt;   0 nHn;  30 RR)
%            Number of literals    :   57 (   9 equ;  32 neg)
%            Maximal clause size   :    6 (   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;   6 con; 0-2 aty)
%            Number of variables   :   22 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause172,axiom,
    ( segmentP(app(app(X4,X1),X3),X2)
    | ~ segmentP(X1,X2)
    | ~ ssList(X3)
    | ~ ssList(X4)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause172) ).

cnf(clause74,axiom,
    ( app(nil,X1) = X1
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause74) ).

cnf(co1_11,negated_conjecture,
    ~ segmentP(sk2,sk1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).

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

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

cnf(co1_8,negated_conjecture,
    app(sk3,sk5) = sk4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).

cnf(co1_7,negated_conjecture,
    ssList(sk5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).

cnf(clause57,axiom,
    ( segmentP(X1,X1)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause57) ).

cnf(c_0_10,plain,
    ( segmentP(app(app(X4,X1),X3),X2)
    | ~ segmentP(X1,X2)
    | ~ ssList(X3)
    | ~ ssList(X4)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(fof_simplification,[status(thm)],[clause172]) ).

cnf(c_0_11,plain,
    ( app(nil,X1) = X1
    | ~ ssList(X1) ),
    inference(fof_simplification,[status(thm)],[clause74]) ).

cnf(c_0_12,negated_conjecture,
    ~ segmentP(sk2,sk1),
    inference(fof_simplification,[status(thm)],[co1_11]) ).

cnf(c_0_13,plain,
    ( segmentP(app(app(X4,X1),X3),X2)
    | ~ segmentP(X1,X2)
    | ~ ssList(X3)
    | ~ ssList(X4)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    c_0_10 ).

cnf(c_0_14,plain,
    ( app(nil,X1) = X1
    | ~ ssList(X1) ),
    c_0_11 ).

cnf(c_0_15,axiom,
    ssList(nil),
    clause8 ).

cnf(c_0_16,negated_conjecture,
    ssList(sk1),
    co1_1 ).

cnf(c_0_17,negated_conjecture,
    sk1 = sk3,
    co1_6 ).

cnf(c_0_18,negated_conjecture,
    ~ segmentP(sk2,sk1),
    c_0_12 ).

cnf(c_0_19,negated_conjecture,
    sk2 = sk4,
    co1_5 ).

cnf(c_0_20,plain,
    ( segmentP(app(X1,X2),X3)
    | ~ segmentP(X1,X3)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15])]) ).

cnf(c_0_21,negated_conjecture,
    app(sk3,sk5) = sk4,
    co1_8 ).

cnf(c_0_22,negated_conjecture,
    ssList(sk5),
    co1_7 ).

cnf(c_0_23,negated_conjecture,
    ssList(sk3),
    inference(rw,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_24,negated_conjecture,
    ~ segmentP(sk4,sk3),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_18,c_0_19]),c_0_17]) ).

cnf(c_0_25,negated_conjecture,
    ( segmentP(sk4,X1)
    | ~ segmentP(sk3,X1)
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22]),c_0_23])]) ).

cnf(c_0_26,plain,
    ( segmentP(X1,X1)
    | ~ ssList(X1) ),
    inference(fof_simplification,[status(thm)],[clause57]) ).

cnf(c_0_27,negated_conjecture,
    ~ segmentP(sk3,sk3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_23])]) ).

cnf(c_0_28,plain,
    ( segmentP(X1,X1)
    | ~ ssList(X1) ),
    c_0_26 ).

cnf(c_0_29,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_23])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SWC371-1 : TPTP v8.2.0. Released v2.4.0.
% 0.12/0.13  % Command    : run_E %s %d THM
% 0.14/0.34  % Computer : n004.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Sun May 19 03:32:23 EDT 2024
% 0.20/0.34  % CPUTime    : 
% 0.20/0.47  Running first-order model finding
% 0.20/0.47  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
% 1.00/0.58  # Version: 3.1.0
% 1.00/0.58  # Preprocessing class: FSLSSMSMSSSNFFN.
% 1.00/0.58  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.00/0.58  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 1.00/0.58  # Starting new_bool_3 with 300s (1) cores
% 1.00/0.58  # Starting new_bool_1 with 300s (1) cores
% 1.00/0.58  # Starting sh5l with 300s (1) cores
% 1.00/0.58  # new_bool_3 with pid 27619 completed with status 0
% 1.00/0.58  # Result found by new_bool_3
% 1.00/0.58  # Preprocessing class: FSLSSMSMSSSNFFN.
% 1.00/0.58  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.00/0.58  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 1.00/0.58  # Starting new_bool_3 with 300s (1) cores
% 1.00/0.58  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1.00/0.58  # Search class: FGHSF-FFMM21-MFFFFFNN
% 1.00/0.58  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 1.00/0.58  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 1.00/0.58  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 27622 completed with status 0
% 1.00/0.58  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 1.00/0.58  # Preprocessing class: FSLSSMSMSSSNFFN.
% 1.00/0.58  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.00/0.58  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 1.00/0.58  # Starting new_bool_3 with 300s (1) cores
% 1.00/0.58  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1.00/0.58  # Search class: FGHSF-FFMM21-MFFFFFNN
% 1.00/0.58  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 1.00/0.58  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 1.00/0.58  # Preprocessing time       : 0.003 s
% 1.00/0.58  # Presaturation interreduction done
% 1.00/0.58  
% 1.00/0.58  # Proof found!
% 1.00/0.58  # SZS status Unsatisfiable
% 1.00/0.58  # SZS output start CNFRefutation
% See solution above
% 1.00/0.58  # Parsed axioms                        : 197
% 1.00/0.58  # Removed by relevancy pruning/SinE    : 131
% 1.00/0.58  # Initial clauses                      : 66
% 1.00/0.58  # Removed in clause preprocessing      : 0
% 1.00/0.58  # Initial clauses in saturation        : 66
% 1.00/0.58  # Processed clauses                    : 848
% 1.00/0.58  # ...of these trivial                  : 25
% 1.00/0.58  # ...subsumed                          : 403
% 1.00/0.58  # ...remaining for further processing  : 420
% 1.00/0.58  # Other redundant clauses eliminated   : 19
% 1.00/0.58  # Clauses deleted for lack of memory   : 0
% 1.00/0.58  # Backward-subsumed                    : 43
% 1.00/0.58  # Backward-rewritten                   : 8
% 1.00/0.58  # Generated clauses                    : 2942
% 1.00/0.58  # ...of the previous two non-redundant : 2626
% 1.00/0.58  # ...aggressively subsumed             : 0
% 1.00/0.58  # Contextual simplify-reflections      : 41
% 1.00/0.58  # Paramodulations                      : 2908
% 1.00/0.58  # Factorizations                       : 0
% 1.00/0.58  # NegExts                              : 0
% 1.00/0.58  # Equation resolutions                 : 27
% 1.00/0.58  # Disequality decompositions           : 0
% 1.00/0.58  # Total rewrite steps                  : 2620
% 1.00/0.58  # ...of those cached                   : 2596
% 1.00/0.58  # Propositional unsat checks           : 0
% 1.00/0.58  #    Propositional check models        : 0
% 1.00/0.58  #    Propositional check unsatisfiable : 0
% 1.00/0.58  #    Propositional clauses             : 0
% 1.00/0.58  #    Propositional clauses after purity: 0
% 1.00/0.58  #    Propositional unsat core size     : 0
% 1.00/0.58  #    Propositional preprocessing time  : 0.000
% 1.00/0.58  #    Propositional encoding time       : 0.000
% 1.00/0.58  #    Propositional solver time         : 0.000
% 1.00/0.58  #    Success case prop preproc time    : 0.000
% 1.00/0.58  #    Success case prop encoding time   : 0.000
% 1.00/0.58  #    Success case prop solver time     : 0.000
% 1.00/0.58  # Current number of processed clauses  : 294
% 1.00/0.58  #    Positive orientable unit clauses  : 26
% 1.00/0.58  #    Positive unorientable unit clauses: 0
% 1.00/0.58  #    Negative unit clauses             : 10
% 1.00/0.58  #    Non-unit-clauses                  : 258
% 1.00/0.58  # Current number of unprocessed clauses: 1867
% 1.00/0.58  # ...number of literals in the above   : 10520
% 1.00/0.58  # Current number of archived formulas  : 0
% 1.00/0.58  # Current number of archived clauses   : 118
% 1.00/0.58  # Clause-clause subsumption calls (NU) : 10155
% 1.00/0.58  # Rec. Clause-clause subsumption calls : 3188
% 1.00/0.58  # Non-unit clause-clause subsumptions  : 389
% 1.00/0.58  # Unit Clause-clause subsumption calls : 447
% 1.00/0.58  # Rewrite failures with RHS unbound    : 0
% 1.00/0.58  # BW rewrite match attempts            : 4
% 1.00/0.58  # BW rewrite match successes           : 4
% 1.00/0.58  # Condensation attempts                : 0
% 1.00/0.58  # Condensation successes               : 0
% 1.00/0.58  # Termbank termtop insertions          : 54932
% 1.00/0.58  # Search garbage collected termcells   : 860
% 1.00/0.58  
% 1.00/0.58  # -------------------------------------------------
% 1.00/0.58  # User time                : 0.084 s
% 1.00/0.58  # System time              : 0.005 s
% 1.00/0.58  # Total time               : 0.089 s
% 1.00/0.58  # Maximum resident set size: 2080 pages
% 1.00/0.58  
% 1.00/0.58  # -------------------------------------------------
% 1.00/0.58  # User time                : 0.088 s
% 1.00/0.58  # System time              : 0.007 s
% 1.00/0.58  # Total time               : 0.095 s
% 1.00/0.58  # Maximum resident set size: 1876 pages
% 1.00/0.58  % E---3.1 exiting
%------------------------------------------------------------------------------