TSTP Solution File: SWC277-1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : SWC277-1 : TPTP v8.2.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n014.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 04:25:12 EDT 2024

% Result   : Unsatisfiable 0.18s 0.47s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   14
% Syntax   : Number of clauses     :   43 (  26 unt;   4 nHn;  41 RR)
%            Number of literals    :   73 (  16 equ;  30 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :   18 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause67,axiom,
    ( totalorderedP(cons(X1,nil))
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause67) ).

cnf(clause101,axiom,
    ( cons(skaf44(X1),nil) = X1
    | ~ singletonP(X1)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause101) ).

cnf(co1_9,negated_conjecture,
    ( singletonP(sk3)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).

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

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

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

cnf(co1_8,negated_conjecture,
    ~ totalorderedP(sk1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).

cnf(clause47,axiom,
    ssItem(skaf44(X1)),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause47) ).

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(clause80,axiom,
    ( nil = X1
    | ~ segmentP(nil,X1)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause80) ).

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

cnf(clause4,axiom,
    totalorderedP(nil),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause4) ).

cnf(c_0_14,plain,
    ( totalorderedP(cons(X1,nil))
    | ~ ssItem(X1) ),
    inference(fof_simplification,[status(thm)],[clause67]) ).

cnf(c_0_15,plain,
    ( cons(skaf44(X1),nil) = X1
    | ~ singletonP(X1)
    | ~ ssList(X1) ),
    inference(fof_simplification,[status(thm)],[clause101]) ).

cnf(c_0_16,negated_conjecture,
    ( singletonP(sk3)
    | ~ neq(sk4,nil) ),
    inference(fof_simplification,[status(thm)],[co1_9]) ).

cnf(c_0_17,plain,
    ( neq(X2,X1)
    | X2 = X1
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(fof_simplification,[status(thm)],[clause100]) ).

cnf(c_0_18,negated_conjecture,
    ssList(sk2),
    co1_2 ).

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

cnf(c_0_20,negated_conjecture,
    ~ totalorderedP(sk1),
    inference(fof_simplification,[status(thm)],[co1_8]) ).

cnf(c_0_21,plain,
    ( totalorderedP(cons(X1,nil))
    | ~ ssItem(X1) ),
    c_0_14 ).

cnf(c_0_22,plain,
    ( cons(skaf44(X1),nil) = X1
    | ~ singletonP(X1)
    | ~ ssList(X1) ),
    c_0_15 ).

cnf(c_0_23,axiom,
    ssItem(skaf44(X1)),
    clause47 ).

cnf(c_0_24,negated_conjecture,
    ( singletonP(sk3)
    | ~ neq(sk4,nil) ),
    c_0_16 ).

cnf(c_0_25,plain,
    ( neq(X2,X1)
    | X2 = X1
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    c_0_17 ).

cnf(c_0_26,negated_conjecture,
    ssList(sk4),
    inference(rw,[status(thm)],[c_0_18,c_0_19]) ).

cnf(c_0_27,axiom,
    ssList(nil),
    clause8 ).

cnf(c_0_28,negated_conjecture,
    ssList(sk1),
    co1_1 ).

cnf(c_0_29,negated_conjecture,
    sk1 = sk3,
    co1_6 ).

cnf(c_0_30,negated_conjecture,
    ~ totalorderedP(sk1),
    c_0_20 ).

cnf(c_0_31,plain,
    ( totalorderedP(X1)
    | ~ singletonP(X1)
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23])]) ).

cnf(c_0_32,negated_conjecture,
    ( sk4 = nil
    | singletonP(sk3) ),
    inference(cn,[status(thm)],[inference(rw,[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_33,negated_conjecture,
    ssList(sk3),
    inference(rw,[status(thm)],[c_0_28,c_0_29]) ).

cnf(c_0_34,negated_conjecture,
    ~ totalorderedP(sk3),
    inference(rw,[status(thm)],[c_0_30,c_0_29]) ).

cnf(c_0_35,plain,
    ( nil = X1
    | ~ segmentP(nil,X1)
    | ~ ssList(X1) ),
    inference(fof_simplification,[status(thm)],[clause80]) ).

cnf(c_0_36,negated_conjecture,
    segmentP(sk4,sk3),
    co1_7 ).

cnf(c_0_37,negated_conjecture,
    sk4 = nil,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33])]),c_0_34]) ).

cnf(c_0_38,plain,
    ( nil = X1
    | ~ segmentP(nil,X1)
    | ~ ssList(X1) ),
    c_0_35 ).

cnf(c_0_39,negated_conjecture,
    segmentP(nil,sk3),
    inference(rw,[status(thm)],[c_0_36,c_0_37]) ).

cnf(c_0_40,negated_conjecture,
    sk3 = nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_33])]) ).

cnf(c_0_41,axiom,
    totalorderedP(nil),
    clause4 ).

cnf(c_0_42,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_34,c_0_40]),c_0_41])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem    : SWC277-1 : TPTP v8.2.0. Released v2.4.0.
% 0.07/0.12  % Command    : run_E %s %d THM
% 0.12/0.32  % Computer : n014.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit   : 300
% 0.12/0.32  % WCLimit    : 300
% 0.12/0.32  % DateTime   : Sun May 19 02:54:53 EDT 2024
% 0.12/0.32  % CPUTime    : 
% 0.18/0.43  Running first-order theorem proving
% 0.18/0.43  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
% 0.18/0.47  # Version: 3.1.0
% 0.18/0.47  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.18/0.47  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.47  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.18/0.47  # Starting new_bool_3 with 300s (1) cores
% 0.18/0.47  # Starting new_bool_1 with 300s (1) cores
% 0.18/0.47  # Starting sh5l with 300s (1) cores
% 0.18/0.47  # sh5l with pid 7064 completed with status 0
% 0.18/0.47  # Result found by sh5l
% 0.18/0.47  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.18/0.47  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.47  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.18/0.47  # Starting new_bool_3 with 300s (1) cores
% 0.18/0.47  # Starting new_bool_1 with 300s (1) cores
% 0.18/0.47  # Starting sh5l with 300s (1) cores
% 0.18/0.47  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.18/0.47  # Search class: FGHSM-FSLM21-MFFFFFNN
% 0.18/0.47  # Scheduled 9 strats onto 1 cores with 300 seconds (300 total)
% 0.18/0.47  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2s with 82s (1) cores
% 0.18/0.47  # G-E--_208_C18_F1_SE_CS_SP_PS_S2s with pid 7072 completed with status 0
% 0.18/0.47  # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S2s
% 0.18/0.47  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.18/0.47  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.47  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.18/0.47  # Starting new_bool_3 with 300s (1) cores
% 0.18/0.47  # Starting new_bool_1 with 300s (1) cores
% 0.18/0.47  # Starting sh5l with 300s (1) cores
% 0.18/0.47  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.18/0.47  # Search class: FGHSM-FSLM21-MFFFFFNN
% 0.18/0.47  # Scheduled 9 strats onto 1 cores with 300 seconds (300 total)
% 0.18/0.47  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2s with 82s (1) cores
% 0.18/0.47  # Preprocessing time       : 0.003 s
% 0.18/0.47  # Presaturation interreduction done
% 0.18/0.47  
% 0.18/0.47  # Proof found!
% 0.18/0.47  # SZS status Unsatisfiable
% 0.18/0.47  # SZS output start CNFRefutation
% See solution above
% 0.18/0.47  # Parsed axioms                        : 194
% 0.18/0.47  # Removed by relevancy pruning/SinE    : 29
% 0.18/0.47  # Initial clauses                      : 165
% 0.18/0.47  # Removed in clause preprocessing      : 0
% 0.18/0.47  # Initial clauses in saturation        : 165
% 0.18/0.47  # Processed clauses                    : 287
% 0.18/0.47  # ...of these trivial                  : 2
% 0.18/0.47  # ...subsumed                          : 9
% 0.18/0.47  # ...remaining for further processing  : 276
% 0.18/0.47  # Other redundant clauses eliminated   : 24
% 0.18/0.47  # Clauses deleted for lack of memory   : 0
% 0.18/0.47  # Backward-subsumed                    : 1
% 0.18/0.47  # Backward-rewritten                   : 10
% 0.18/0.47  # Generated clauses                    : 44
% 0.18/0.47  # ...of the previous two non-redundant : 39
% 0.18/0.47  # ...aggressively subsumed             : 0
% 0.18/0.47  # Contextual simplify-reflections      : 2
% 0.18/0.47  # Paramodulations                      : 21
% 0.18/0.47  # Factorizations                       : 0
% 0.18/0.47  # NegExts                              : 0
% 0.18/0.47  # Equation resolutions                 : 24
% 0.18/0.47  # Disequality decompositions           : 0
% 0.18/0.47  # Total rewrite steps                  : 47
% 0.18/0.47  # ...of those cached                   : 37
% 0.18/0.47  # Propositional unsat checks           : 0
% 0.18/0.47  #    Propositional check models        : 0
% 0.18/0.47  #    Propositional check unsatisfiable : 0
% 0.18/0.47  #    Propositional clauses             : 0
% 0.18/0.47  #    Propositional clauses after purity: 0
% 0.18/0.47  #    Propositional unsat core size     : 0
% 0.18/0.47  #    Propositional preprocessing time  : 0.000
% 0.18/0.47  #    Propositional encoding time       : 0.000
% 0.18/0.47  #    Propositional solver time         : 0.000
% 0.18/0.47  #    Success case prop preproc time    : 0.000
% 0.18/0.47  #    Success case prop encoding time   : 0.000
% 0.18/0.47  #    Success case prop solver time     : 0.000
% 0.18/0.47  # Current number of processed clauses  : 87
% 0.18/0.47  #    Positive orientable unit clauses  : 41
% 0.18/0.47  #    Positive unorientable unit clauses: 0
% 0.18/0.47  #    Negative unit clauses             : 1
% 0.18/0.47  #    Non-unit-clauses                  : 45
% 0.18/0.47  # Current number of unprocessed clauses: 73
% 0.18/0.47  # ...number of literals in the above   : 352
% 0.18/0.47  # Current number of archived formulas  : 0
% 0.18/0.47  # Current number of archived clauses   : 168
% 0.18/0.47  # Clause-clause subsumption calls (NU) : 6472
% 0.18/0.47  # Rec. Clause-clause subsumption calls : 962
% 0.18/0.47  # Non-unit clause-clause subsumptions  : 10
% 0.18/0.47  # Unit Clause-clause subsumption calls : 68
% 0.18/0.47  # Rewrite failures with RHS unbound    : 0
% 0.18/0.47  # BW rewrite match attempts            : 2
% 0.18/0.47  # BW rewrite match successes           : 2
% 0.18/0.47  # Condensation attempts                : 0
% 0.18/0.47  # Condensation successes               : 0
% 0.18/0.47  # Termbank termtop insertions          : 8176
% 0.18/0.47  # Search garbage collected termcells   : 607
% 0.18/0.47  
% 0.18/0.47  # -------------------------------------------------
% 0.18/0.47  # User time                : 0.019 s
% 0.18/0.47  # System time              : 0.005 s
% 0.18/0.47  # Total time               : 0.024 s
% 0.18/0.47  # Maximum resident set size: 2208 pages
% 0.18/0.47  
% 0.18/0.47  # -------------------------------------------------
% 0.18/0.47  # User time                : 0.023 s
% 0.18/0.47  # System time              : 0.008 s
% 0.18/0.47  # Total time               : 0.030 s
% 0.18/0.47  # Maximum resident set size: 1896 pages
% 0.18/0.47  % E---3.1 exiting
% 0.18/0.48  % E exiting
%------------------------------------------------------------------------------