TSTP Solution File: SWC118-1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : SWC118-1 : 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 04:23:32 EDT 2024

% Result   : Unsatisfiable 0.16s 0.44s
% Output   : CNFRefutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   13
% Syntax   : Number of clauses     :   41 (  22 unt;   4 nHn;  41 RR)
%            Number of literals    :   82 (  28 equ;  47 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   7 con; 0-2 aty)
%            Number of variables   :   22 (   0 sgn)

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

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

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

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

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

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

cnf(co1_15,negated_conjecture,
    ( ~ neq(sk1,nil)
    | ~ segmentP(sk2,sk1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).

cnf(clause173,axiom,
    ( segmentP(X4,X2)
    | app(app(X1,X2),X3) != X4
    | ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause173) ).

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

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

cnf(co1_9,negated_conjecture,
    app(app(sk5,sk3),sk6) = sk4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).

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

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

cnf(c_0_13,negated_conjecture,
    ( nil != sk2
    | nil != sk1 ),
    inference(fof_simplification,[status(thm)],[co1_14]) ).

cnf(c_0_14,plain,
    ( neq(X2,X1)
    | X2 = X1
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(fof_simplification,[status(thm)],[clause100]) ).

cnf(c_0_15,negated_conjecture,
    ssList(sk1),
    co1_1 ).

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

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

cnf(c_0_18,negated_conjecture,
    ( nil != sk2
    | nil != sk1 ),
    c_0_13 ).

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

cnf(c_0_20,negated_conjecture,
    ( ~ neq(sk1,nil)
    | ~ segmentP(sk2,sk1) ),
    inference(fof_simplification,[status(thm)],[co1_15]) ).

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

cnf(c_0_22,negated_conjecture,
    ssList(sk3),
    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,negated_conjecture,
    ( sk3 != nil
    | sk4 != nil ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_18,c_0_16]),c_0_19]) ).

cnf(c_0_25,plain,
    ( segmentP(X4,X2)
    | app(app(X1,X2),X3) != X4
    | ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X4) ),
    inference(fof_simplification,[status(thm)],[clause173]) ).

cnf(c_0_26,negated_conjecture,
    ( ~ neq(sk1,nil)
    | ~ segmentP(sk2,sk1) ),
    c_0_20 ).

cnf(c_0_27,negated_conjecture,
    ( X1 = sk3
    | neq(sk3,X1)
    | ~ ssList(X1) ),
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

cnf(c_0_28,axiom,
    ssList(nil),
    clause8 ).

cnf(c_0_29,negated_conjecture,
    sk3 != nil,
    inference(csr,[status(thm)],[c_0_23,c_0_24]) ).

cnf(c_0_30,plain,
    ( segmentP(X4,X2)
    | app(app(X1,X2),X3) != X4
    | ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X4) ),
    c_0_25 ).

cnf(c_0_31,negated_conjecture,
    ssList(sk2),
    co1_2 ).

cnf(c_0_32,negated_conjecture,
    ( ~ neq(sk3,nil)
    | ~ segmentP(sk4,sk3) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_26,c_0_19]),c_0_16]),c_0_16]) ).

cnf(c_0_33,negated_conjecture,
    neq(sk3,nil),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29]) ).

cnf(c_0_34,plain,
    ( segmentP(app(app(X1,X2),X3),X2)
    | ~ ssList(app(app(X1,X2),X3))
    | ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(er,[status(thm)],[c_0_30]) ).

cnf(c_0_35,negated_conjecture,
    app(app(sk5,sk3),sk6) = sk4,
    co1_9 ).

cnf(c_0_36,negated_conjecture,
    ssList(sk4),
    inference(rw,[status(thm)],[c_0_31,c_0_19]) ).

cnf(c_0_37,negated_conjecture,
    ssList(sk6),
    co1_8 ).

cnf(c_0_38,negated_conjecture,
    ssList(sk5),
    co1_7 ).

cnf(c_0_39,negated_conjecture,
    ~ segmentP(sk4,sk3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_32,c_0_33])]) ).

cnf(c_0_40,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[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_34,c_0_35]),c_0_36]),c_0_37]),c_0_22]),c_0_38])]),c_0_39]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem    : SWC118-1 : TPTP v8.2.0. Released v2.4.0.
% 0.06/0.11  % Command    : run_E %s %d THM
% 0.09/0.32  % Computer : n004.cluster.edu
% 0.09/0.32  % Model    : x86_64 x86_64
% 0.09/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.32  % Memory   : 8042.1875MB
% 0.09/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.32  % CPULimit   : 300
% 0.09/0.32  % WCLimit    : 300
% 0.09/0.32  % DateTime   : Sun May 19 03:50:53 EDT 2024
% 0.09/0.32  % CPUTime    : 
% 0.16/0.41  Running first-order theorem proving
% 0.16/0.41  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
% 0.16/0.44  # Version: 3.1.0
% 0.16/0.44  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.16/0.44  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.44  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.16/0.44  # Starting new_bool_3 with 300s (1) cores
% 0.16/0.44  # Starting new_bool_1 with 300s (1) cores
% 0.16/0.44  # Starting sh5l with 300s (1) cores
% 0.16/0.44  # new_bool_1 with pid 20652 completed with status 0
% 0.16/0.44  # Result found by new_bool_1
% 0.16/0.44  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.16/0.44  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.44  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.16/0.44  # Starting new_bool_3 with 300s (1) cores
% 0.16/0.44  # Starting new_bool_1 with 300s (1) cores
% 0.16/0.44  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/0.44  # Search class: FGHSF-FFMM21-MFFFFFNN
% 0.16/0.44  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.44  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 0.16/0.44  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 20654 completed with status 0
% 0.16/0.44  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.16/0.44  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.16/0.44  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.44  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.16/0.44  # Starting new_bool_3 with 300s (1) cores
% 0.16/0.44  # Starting new_bool_1 with 300s (1) cores
% 0.16/0.44  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/0.44  # Search class: FGHSF-FFMM21-MFFFFFNN
% 0.16/0.44  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.44  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 0.16/0.44  # Preprocessing time       : 0.004 s
% 0.16/0.44  # Presaturation interreduction done
% 0.16/0.44  
% 0.16/0.44  # Proof found!
% 0.16/0.44  # SZS status Unsatisfiable
% 0.16/0.44  # SZS output start CNFRefutation
% See solution above
% 0.16/0.44  # Parsed axioms                        : 200
% 0.16/0.44  # Removed by relevancy pruning/SinE    : 127
% 0.16/0.44  # Initial clauses                      : 73
% 0.16/0.44  # Removed in clause preprocessing      : 0
% 0.16/0.44  # Initial clauses in saturation        : 73
% 0.16/0.44  # Processed clauses                    : 180
% 0.16/0.44  # ...of these trivial                  : 2
% 0.16/0.44  # ...subsumed                          : 6
% 0.16/0.44  # ...remaining for further processing  : 171
% 0.16/0.44  # Other redundant clauses eliminated   : 15
% 0.16/0.44  # Clauses deleted for lack of memory   : 0
% 0.16/0.44  # Backward-subsumed                    : 6
% 0.16/0.44  # Backward-rewritten                   : 1
% 0.16/0.44  # Generated clauses                    : 191
% 0.16/0.44  # ...of the previous two non-redundant : 171
% 0.16/0.44  # ...aggressively subsumed             : 0
% 0.16/0.44  # Contextual simplify-reflections      : 1
% 0.16/0.44  # Paramodulations                      : 172
% 0.16/0.44  # Factorizations                       : 0
% 0.16/0.44  # NegExts                              : 0
% 0.16/0.44  # Equation resolutions                 : 19
% 0.16/0.44  # Disequality decompositions           : 0
% 0.16/0.44  # Total rewrite steps                  : 89
% 0.16/0.44  # ...of those cached                   : 81
% 0.16/0.44  # Propositional unsat checks           : 0
% 0.16/0.44  #    Propositional check models        : 0
% 0.16/0.44  #    Propositional check unsatisfiable : 0
% 0.16/0.44  #    Propositional clauses             : 0
% 0.16/0.44  #    Propositional clauses after purity: 0
% 0.16/0.44  #    Propositional unsat core size     : 0
% 0.16/0.44  #    Propositional preprocessing time  : 0.000
% 0.16/0.44  #    Propositional encoding time       : 0.000
% 0.16/0.44  #    Propositional solver time         : 0.000
% 0.16/0.44  #    Success case prop preproc time    : 0.000
% 0.16/0.44  #    Success case prop encoding time   : 0.000
% 0.16/0.44  #    Success case prop solver time     : 0.000
% 0.16/0.44  # Current number of processed clauses  : 88
% 0.16/0.44  #    Positive orientable unit clauses  : 17
% 0.16/0.44  #    Positive unorientable unit clauses: 0
% 0.16/0.44  #    Negative unit clauses             : 3
% 0.16/0.44  #    Non-unit-clauses                  : 68
% 0.16/0.44  # Current number of unprocessed clauses: 125
% 0.16/0.44  # ...number of literals in the above   : 673
% 0.16/0.44  # Current number of archived formulas  : 0
% 0.16/0.44  # Current number of archived clauses   : 73
% 0.16/0.44  # Clause-clause subsumption calls (NU) : 2803
% 0.16/0.44  # Rec. Clause-clause subsumption calls : 364
% 0.16/0.44  # Non-unit clause-clause subsumptions  : 9
% 0.16/0.44  # Unit Clause-clause subsumption calls : 33
% 0.16/0.44  # Rewrite failures with RHS unbound    : 0
% 0.16/0.44  # BW rewrite match attempts            : 1
% 0.16/0.44  # BW rewrite match successes           : 1
% 0.16/0.44  # Condensation attempts                : 0
% 0.16/0.44  # Condensation successes               : 0
% 0.16/0.44  # Termbank termtop insertions          : 7793
% 0.16/0.44  # Search garbage collected termcells   : 875
% 0.16/0.44  
% 0.16/0.44  # -------------------------------------------------
% 0.16/0.44  # User time                : 0.012 s
% 0.16/0.44  # System time              : 0.006 s
% 0.16/0.44  # Total time               : 0.018 s
% 0.16/0.44  # Maximum resident set size: 2088 pages
% 0.16/0.44  
% 0.16/0.44  # -------------------------------------------------
% 0.16/0.44  # User time                : 0.014 s
% 0.16/0.44  # System time              : 0.009 s
% 0.16/0.44  # Total time               : 0.024 s
% 0.16/0.44  # Maximum resident set size: 1876 pages
% 0.16/0.44  % E---3.1 exiting
% 0.16/0.44  % E exiting
%------------------------------------------------------------------------------