TSTP Solution File: SWC279-1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : SWC279-1 : 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 04:25:13 EDT 2024

% Result   : Unsatisfiable 0.19s 0.49s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   36 (  17 unt;   2 nHn;  36 RR)
%            Number of literals    :   87 (  11 equ;  54 neg)
%            Maximal clause size   :    7 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-2 aty)
%            Number of variables   :   26 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(co1_8,negated_conjecture,
    ( leq(X4,X1)
    | ~ ssItem(X1)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | app(app(X2,cons(X1,nil)),X3) != sk3
    | ~ ssItem(X4)
    | ~ memberP(X2,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

cnf(co1_12,negated_conjecture,
    app(app(sk6,cons(sk5,nil)),sk7) = sk1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).

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

cnf(co1_7,negated_conjecture,
    ( leq(X1,X4)
    | ~ ssItem(X1)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | app(app(X2,cons(X1,nil)),X3) != sk3
    | ~ ssItem(X4)
    | ~ memberP(X3,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

cnf(co1_16,negated_conjecture,
    ( memberP(sk7,sk8)
    | ~ leq(sk8,sk5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_16) ).

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

cnf(co1_11,negated_conjecture,
    ssList(sk7),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).

cnf(co1_10,negated_conjecture,
    ssList(sk6),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).

cnf(co1_17,negated_conjecture,
    ( ~ leq(sk8,sk5)
    | ~ leq(sk5,sk8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_17) ).

cnf(co1_13,negated_conjecture,
    ssItem(sk8),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).

cnf(co1_14,negated_conjecture,
    ( memberP(sk6,sk8)
    | memberP(sk7,sk8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).

cnf(co1_15,negated_conjecture,
    ( memberP(sk6,sk8)
    | ~ leq(sk5,sk8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).

cnf(c_0_12,negated_conjecture,
    ( leq(X4,X1)
    | ~ ssItem(X1)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | app(app(X2,cons(X1,nil)),X3) != sk3
    | ~ ssItem(X4)
    | ~ memberP(X2,X4) ),
    inference(fof_simplification,[status(thm)],[co1_8]) ).

cnf(c_0_13,negated_conjecture,
    app(app(sk6,cons(sk5,nil)),sk7) = sk1,
    co1_12 ).

cnf(c_0_14,negated_conjecture,
    sk1 = sk3,
    co1_6 ).

cnf(c_0_15,negated_conjecture,
    ( leq(X1,X4)
    | ~ ssItem(X1)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | app(app(X2,cons(X1,nil)),X3) != sk3
    | ~ ssItem(X4)
    | ~ memberP(X3,X4) ),
    inference(fof_simplification,[status(thm)],[co1_7]) ).

cnf(c_0_16,negated_conjecture,
    ( memberP(sk7,sk8)
    | ~ leq(sk8,sk5) ),
    inference(fof_simplification,[status(thm)],[co1_16]) ).

cnf(c_0_17,negated_conjecture,
    ( leq(X4,X1)
    | ~ ssItem(X1)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | app(app(X2,cons(X1,nil)),X3) != sk3
    | ~ ssItem(X4)
    | ~ memberP(X2,X4) ),
    c_0_12 ).

cnf(c_0_18,negated_conjecture,
    app(app(sk6,cons(sk5,nil)),sk7) = sk3,
    inference(rw,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_19,negated_conjecture,
    ssItem(sk5),
    co1_9 ).

cnf(c_0_20,negated_conjecture,
    ssList(sk7),
    co1_11 ).

cnf(c_0_21,negated_conjecture,
    ssList(sk6),
    co1_10 ).

cnf(c_0_22,negated_conjecture,
    ( ~ leq(sk8,sk5)
    | ~ leq(sk5,sk8) ),
    inference(fof_simplification,[status(thm)],[co1_17]) ).

cnf(c_0_23,negated_conjecture,
    ( leq(X1,X4)
    | ~ ssItem(X1)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | app(app(X2,cons(X1,nil)),X3) != sk3
    | ~ ssItem(X4)
    | ~ memberP(X3,X4) ),
    c_0_15 ).

cnf(c_0_24,negated_conjecture,
    ( memberP(sk7,sk8)
    | ~ leq(sk8,sk5) ),
    c_0_16 ).

cnf(c_0_25,negated_conjecture,
    ( leq(X1,sk5)
    | ~ memberP(sk6,X1)
    | ~ ssItem(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]),c_0_20]),c_0_21])]) ).

cnf(c_0_26,negated_conjecture,
    ssItem(sk8),
    co1_13 ).

cnf(c_0_27,negated_conjecture,
    ( memberP(sk6,sk8)
    | memberP(sk7,sk8) ),
    co1_14 ).

cnf(c_0_28,negated_conjecture,
    ( ~ leq(sk8,sk5)
    | ~ leq(sk5,sk8) ),
    c_0_22 ).

cnf(c_0_29,negated_conjecture,
    ( leq(sk5,X1)
    | ~ memberP(sk7,X1)
    | ~ ssItem(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_18]),c_0_19]),c_0_20]),c_0_21])]) ).

cnf(c_0_30,negated_conjecture,
    memberP(sk7,sk8),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26])]),c_0_27]) ).

cnf(c_0_31,negated_conjecture,
    ( memberP(sk6,sk8)
    | ~ leq(sk5,sk8) ),
    inference(fof_simplification,[status(thm)],[co1_15]) ).

cnf(c_0_32,negated_conjecture,
    ~ leq(sk8,sk5),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]),c_0_26])]) ).

cnf(c_0_33,negated_conjecture,
    ( memberP(sk6,sk8)
    | ~ leq(sk5,sk8) ),
    c_0_31 ).

cnf(c_0_34,negated_conjecture,
    ~ memberP(sk6,sk8),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_25]),c_0_26])]) ).

cnf(c_0_35,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_29]),c_0_30]),c_0_26])]),c_0_34]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SWC279-1 : TPTP v8.2.0. Released v2.4.0.
% 0.12/0.13  % Command    : run_E %s %d THM
% 0.13/0.33  % Computer : n009.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Sun May 19 03:31:07 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.19/0.46  Running first-order theorem proving
% 0.19/0.46  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
% 0.19/0.49  # Version: 3.1.0
% 0.19/0.49  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.19/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.49  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.19/0.49  # Starting new_bool_3 with 300s (1) cores
% 0.19/0.49  # Starting new_bool_1 with 300s (1) cores
% 0.19/0.49  # Starting sh5l with 300s (1) cores
% 0.19/0.49  # new_bool_3 with pid 13975 completed with status 0
% 0.19/0.49  # Result found by new_bool_3
% 0.19/0.49  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.19/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.49  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.19/0.49  # Starting new_bool_3 with 300s (1) cores
% 0.19/0.49  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.19/0.49  # Search class: FGHSF-FFMM22-MFFFFFNN
% 0.19/0.49  # partial match(1): FGHSF-FFMM21-MFFFFFNN
% 0.19/0.49  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.49  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 0.19/0.49  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 13978 completed with status 0
% 0.19/0.49  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.19/0.49  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.19/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.49  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.19/0.49  # Starting new_bool_3 with 300s (1) cores
% 0.19/0.49  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.19/0.49  # Search class: FGHSF-FFMM22-MFFFFFNN
% 0.19/0.49  # partial match(1): FGHSF-FFMM21-MFFFFFNN
% 0.19/0.49  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.49  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 0.19/0.49  # Preprocessing time       : 0.002 s
% 0.19/0.49  # Presaturation interreduction done
% 0.19/0.49  
% 0.19/0.49  # Proof found!
% 0.19/0.49  # SZS status Unsatisfiable
% 0.19/0.49  # SZS output start CNFRefutation
% See solution above
% 0.19/0.49  # Parsed axioms                        : 202
% 0.19/0.49  # Removed by relevancy pruning/SinE    : 149
% 0.19/0.49  # Initial clauses                      : 53
% 0.19/0.49  # Removed in clause preprocessing      : 0
% 0.19/0.49  # Initial clauses in saturation        : 53
% 0.19/0.49  # Processed clauses                    : 136
% 0.19/0.49  # ...of these trivial                  : 2
% 0.19/0.49  # ...subsumed                          : 8
% 0.19/0.49  # ...remaining for further processing  : 125
% 0.19/0.49  # Other redundant clauses eliminated   : 9
% 0.19/0.49  # Clauses deleted for lack of memory   : 0
% 0.19/0.49  # Backward-subsumed                    : 13
% 0.19/0.49  # Backward-rewritten                   : 2
% 0.19/0.49  # Generated clauses                    : 203
% 0.19/0.49  # ...of the previous two non-redundant : 166
% 0.19/0.49  # ...aggressively subsumed             : 0
% 0.19/0.49  # Contextual simplify-reflections      : 1
% 0.19/0.49  # Paramodulations                      : 191
% 0.19/0.49  # Factorizations                       : 0
% 0.19/0.49  # NegExts                              : 0
% 0.19/0.49  # Equation resolutions                 : 13
% 0.19/0.49  # Disequality decompositions           : 0
% 0.19/0.49  # Total rewrite steps                  : 169
% 0.19/0.49  # ...of those cached                   : 157
% 0.19/0.49  # Propositional unsat checks           : 0
% 0.19/0.49  #    Propositional check models        : 0
% 0.19/0.49  #    Propositional check unsatisfiable : 0
% 0.19/0.49  #    Propositional clauses             : 0
% 0.19/0.49  #    Propositional clauses after purity: 0
% 0.19/0.49  #    Propositional unsat core size     : 0
% 0.19/0.49  #    Propositional preprocessing time  : 0.000
% 0.19/0.49  #    Propositional encoding time       : 0.000
% 0.19/0.49  #    Propositional solver time         : 0.000
% 0.19/0.49  #    Success case prop preproc time    : 0.000
% 0.19/0.49  #    Success case prop encoding time   : 0.000
% 0.19/0.49  #    Success case prop solver time     : 0.000
% 0.19/0.49  # Current number of processed clauses  : 57
% 0.19/0.49  #    Positive orientable unit clauses  : 13
% 0.19/0.49  #    Positive unorientable unit clauses: 0
% 0.19/0.49  #    Negative unit clauses             : 3
% 0.19/0.49  #    Non-unit-clauses                  : 41
% 0.19/0.49  # Current number of unprocessed clauses: 118
% 0.19/0.49  # ...number of literals in the above   : 625
% 0.19/0.49  # Current number of archived formulas  : 0
% 0.19/0.49  # Current number of archived clauses   : 64
% 0.19/0.49  # Clause-clause subsumption calls (NU) : 733
% 0.19/0.49  # Rec. Clause-clause subsumption calls : 165
% 0.19/0.49  # Non-unit clause-clause subsumptions  : 12
% 0.19/0.49  # Unit Clause-clause subsumption calls : 28
% 0.19/0.49  # Rewrite failures with RHS unbound    : 0
% 0.19/0.49  # BW rewrite match attempts            : 2
% 0.19/0.49  # BW rewrite match successes           : 2
% 0.19/0.49  # Condensation attempts                : 0
% 0.19/0.49  # Condensation successes               : 0
% 0.19/0.49  # Termbank termtop insertions          : 7130
% 0.19/0.49  # Search garbage collected termcells   : 910
% 0.19/0.49  
% 0.19/0.49  # -------------------------------------------------
% 0.19/0.49  # User time                : 0.013 s
% 0.19/0.49  # System time              : 0.003 s
% 0.19/0.49  # Total time               : 0.016 s
% 0.19/0.49  # Maximum resident set size: 2092 pages
% 0.19/0.49  
% 0.19/0.49  # -------------------------------------------------
% 0.19/0.49  # User time                : 0.018 s
% 0.19/0.49  # System time              : 0.004 s
% 0.19/0.49  # Total time               : 0.022 s
% 0.19/0.49  # Maximum resident set size: 1880 pages
% 0.19/0.49  % E---3.1 exiting
% 0.19/0.49  % E exiting
%------------------------------------------------------------------------------