TSTP Solution File: SWC122-1 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : SWC122-1 : 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 04:27:45 EDT 2024

% Result   : Unsatisfiable 0.19s 0.51s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   13
% Syntax   : Number of clauses     :   43 (  22 unt;   0 nHn;  41 RR)
%            Number of literals    :   86 (  14 equ;  48 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :   29 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(co1_11,negated_conjecture,
    ( rearsegP(sk4,sk3)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).

cnf(co1_7,negated_conjecture,
    neq(sk2,nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

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

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(clause131,axiom,
    ( app(skaf46(X1,X2),X2) = X1
    | ~ rearsegP(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause131) ).

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_2,negated_conjecture,
    ssList(sk2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_2) ).

cnf(co1_9,negated_conjecture,
    ( ~ neq(sk1,nil)
    | ~ segmentP(sk2,sk1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).

cnf(co1_10,negated_conjecture,
    ( neq(sk3,nil)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).

cnf(clause50,axiom,
    ssList(skaf46(X1,X2)),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause50) ).

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

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

cnf(c_0_13,negated_conjecture,
    ( rearsegP(sk4,sk3)
    | ~ neq(sk4,nil) ),
    inference(fof_simplification,[status(thm)],[co1_11]) ).

cnf(c_0_14,negated_conjecture,
    neq(sk2,nil),
    co1_7 ).

cnf(c_0_15,negated_conjecture,
    sk2 = sk4,
    co1_5 ).

cnf(c_0_16,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_17,plain,
    ( app(skaf46(X1,X2),X2) = X1
    | ~ rearsegP(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(fof_simplification,[status(thm)],[clause131]) ).

cnf(c_0_18,negated_conjecture,
    ( rearsegP(sk4,sk3)
    | ~ neq(sk4,nil) ),
    c_0_13 ).

cnf(c_0_19,negated_conjecture,
    neq(sk4,nil),
    inference(rw,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_20,negated_conjecture,
    ssList(sk1),
    co1_1 ).

cnf(c_0_21,negated_conjecture,
    sk1 = sk3,
    co1_6 ).

cnf(c_0_22,negated_conjecture,
    ssList(sk2),
    co1_2 ).

cnf(c_0_23,negated_conjecture,
    ( ~ neq(sk1,nil)
    | ~ segmentP(sk2,sk1) ),
    inference(fof_simplification,[status(thm)],[co1_9]) ).

cnf(c_0_24,negated_conjecture,
    ( neq(sk3,nil)
    | ~ neq(sk4,nil) ),
    inference(fof_simplification,[status(thm)],[co1_10]) ).

cnf(c_0_25,plain,
    ( segmentP(X4,X2)
    | app(app(X1,X2),X3) != X4
    | ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X4) ),
    c_0_16 ).

cnf(c_0_26,plain,
    ( app(skaf46(X1,X2),X2) = X1
    | ~ rearsegP(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    c_0_17 ).

cnf(c_0_27,negated_conjecture,
    rearsegP(sk4,sk3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_18,c_0_19])]) ).

cnf(c_0_28,negated_conjecture,
    ssList(sk3),
    inference(rw,[status(thm)],[c_0_20,c_0_21]) ).

cnf(c_0_29,negated_conjecture,
    ssList(sk4),
    inference(rw,[status(thm)],[c_0_22,c_0_15]) ).

cnf(c_0_30,negated_conjecture,
    ( ~ neq(sk1,nil)
    | ~ segmentP(sk2,sk1) ),
    c_0_23 ).

cnf(c_0_31,negated_conjecture,
    ( neq(sk3,nil)
    | ~ neq(sk4,nil) ),
    c_0_24 ).

cnf(c_0_32,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_25]) ).

cnf(c_0_33,negated_conjecture,
    app(skaf46(sk4,sk3),sk3) = sk4,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]),c_0_29])]) ).

cnf(c_0_34,axiom,
    ssList(skaf46(X1,X2)),
    clause50 ).

cnf(c_0_35,plain,
    ( app(X1,nil) = X1
    | ~ ssList(X1) ),
    inference(fof_simplification,[status(thm)],[clause73]) ).

cnf(c_0_36,negated_conjecture,
    ( ~ neq(sk3,nil)
    | ~ segmentP(sk4,sk3) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_30,c_0_15]),c_0_21]),c_0_21]) ).

cnf(c_0_37,negated_conjecture,
    neq(sk3,nil),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_31,c_0_19])]) ).

cnf(c_0_38,negated_conjecture,
    ( segmentP(app(sk4,X1),sk3)
    | ~ ssList(app(sk4,X1))
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_28]),c_0_34])]) ).

cnf(c_0_39,plain,
    ( app(X1,nil) = X1
    | ~ ssList(X1) ),
    c_0_35 ).

cnf(c_0_40,axiom,
    ssList(nil),
    clause8 ).

cnf(c_0_41,negated_conjecture,
    ~ segmentP(sk4,sk3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_36,c_0_37])]) ).

cnf(c_0_42,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_38,c_0_39]),c_0_29]),c_0_40])]),c_0_41]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWC122-1 : TPTP v8.2.0. Released v2.4.0.
% 0.07/0.13  % Command    : run_E %s %d THM
% 0.12/0.33  % Computer : n009.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Sun May 19 03:00:53 EDT 2024
% 0.12/0.34  % CPUTime    : 
% 0.19/0.46  Running first-order model finding
% 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 --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.51  # Version: 3.1.0
% 0.19/0.51  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.19/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.51  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.19/0.51  # Starting new_bool_3 with 300s (1) cores
% 0.19/0.51  # Starting new_bool_1 with 300s (1) cores
% 0.19/0.51  # Starting sh5l with 300s (1) cores
% 0.19/0.51  # sh5l with pid 29865 completed with status 0
% 0.19/0.51  # Result found by sh5l
% 0.19/0.51  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.19/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.51  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.19/0.51  # Starting new_bool_3 with 300s (1) cores
% 0.19/0.51  # Starting new_bool_1 with 300s (1) cores
% 0.19/0.51  # Starting sh5l with 300s (1) cores
% 0.19/0.51  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.19/0.51  # Search class: FGHSM-FSLM21-MFFFFFNN
% 0.19/0.51  # Scheduled 9 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.51  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2s with 82s (1) cores
% 0.19/0.51  # G-E--_208_C18_F1_SE_CS_SP_PS_S2s with pid 29873 completed with status 0
% 0.19/0.51  # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S2s
% 0.19/0.51  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.19/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.51  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.19/0.51  # Starting new_bool_3 with 300s (1) cores
% 0.19/0.51  # Starting new_bool_1 with 300s (1) cores
% 0.19/0.51  # Starting sh5l with 300s (1) cores
% 0.19/0.51  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.19/0.51  # Search class: FGHSM-FSLM21-MFFFFFNN
% 0.19/0.51  # Scheduled 9 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.51  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2s with 82s (1) cores
% 0.19/0.51  # Preprocessing time       : 0.003 s
% 0.19/0.51  # Presaturation interreduction done
% 0.19/0.51  
% 0.19/0.51  # Proof found!
% 0.19/0.51  # SZS status Unsatisfiable
% 0.19/0.51  # SZS output start CNFRefutation
% See solution above
% 0.19/0.51  # Parsed axioms                        : 196
% 0.19/0.51  # Removed by relevancy pruning/SinE    : 39
% 0.19/0.51  # Initial clauses                      : 157
% 0.19/0.51  # Removed in clause preprocessing      : 0
% 0.19/0.51  # Initial clauses in saturation        : 157
% 0.19/0.51  # Processed clauses                    : 366
% 0.19/0.51  # ...of these trivial                  : 2
% 0.19/0.51  # ...subsumed                          : 30
% 0.19/0.51  # ...remaining for further processing  : 334
% 0.19/0.51  # Other redundant clauses eliminated   : 31
% 0.19/0.51  # Clauses deleted for lack of memory   : 0
% 0.19/0.51  # Backward-subsumed                    : 0
% 0.19/0.51  # Backward-rewritten                   : 2
% 0.19/0.51  # Generated clauses                    : 304
% 0.19/0.51  # ...of the previous two non-redundant : 250
% 0.19/0.51  # ...aggressively subsumed             : 0
% 0.19/0.51  # Contextual simplify-reflections      : 9
% 0.19/0.51  # Paramodulations                      : 269
% 0.19/0.51  # Factorizations                       : 0
% 0.19/0.51  # NegExts                              : 0
% 0.19/0.51  # Equation resolutions                 : 36
% 0.19/0.51  # Disequality decompositions           : 0
% 0.19/0.51  # Total rewrite steps                  : 224
% 0.19/0.51  # ...of those cached                   : 206
% 0.19/0.51  # Propositional unsat checks           : 0
% 0.19/0.51  #    Propositional check models        : 0
% 0.19/0.51  #    Propositional check unsatisfiable : 0
% 0.19/0.51  #    Propositional clauses             : 0
% 0.19/0.51  #    Propositional clauses after purity: 0
% 0.19/0.51  #    Propositional unsat core size     : 0
% 0.19/0.51  #    Propositional preprocessing time  : 0.000
% 0.19/0.51  #    Propositional encoding time       : 0.000
% 0.19/0.51  #    Propositional solver time         : 0.000
% 0.19/0.51  #    Success case prop preproc time    : 0.000
% 0.19/0.51  #    Success case prop encoding time   : 0.000
% 0.19/0.51  #    Success case prop solver time     : 0.000
% 0.19/0.51  # Current number of processed clauses  : 163
% 0.19/0.51  #    Positive orientable unit clauses  : 41
% 0.19/0.51  #    Positive unorientable unit clauses: 0
% 0.19/0.51  #    Negative unit clauses             : 1
% 0.19/0.51  #    Non-unit-clauses                  : 121
% 0.19/0.51  # Current number of unprocessed clauses: 182
% 0.19/0.51  # ...number of literals in the above   : 928
% 0.19/0.51  # Current number of archived formulas  : 0
% 0.19/0.51  # Current number of archived clauses   : 151
% 0.19/0.51  # Clause-clause subsumption calls (NU) : 9058
% 0.19/0.51  # Rec. Clause-clause subsumption calls : 1449
% 0.19/0.51  # Non-unit clause-clause subsumptions  : 39
% 0.19/0.51  # Unit Clause-clause subsumption calls : 27
% 0.19/0.51  # Rewrite failures with RHS unbound    : 0
% 0.19/0.51  # BW rewrite match attempts            : 2
% 0.19/0.51  # BW rewrite match successes           : 2
% 0.19/0.51  # Condensation attempts                : 0
% 0.19/0.51  # Condensation successes               : 0
% 0.19/0.51  # Termbank termtop insertions          : 12860
% 0.19/0.51  # Search garbage collected termcells   : 632
% 0.19/0.51  
% 0.19/0.51  # -------------------------------------------------
% 0.19/0.51  # User time                : 0.030 s
% 0.19/0.51  # System time              : 0.002 s
% 0.19/0.51  # Total time               : 0.032 s
% 0.19/0.51  # Maximum resident set size: 2200 pages
% 0.19/0.51  
% 0.19/0.51  # -------------------------------------------------
% 0.19/0.51  # User time                : 0.034 s
% 0.19/0.51  # System time              : 0.004 s
% 0.19/0.51  # Total time               : 0.038 s
% 0.19/0.51  # Maximum resident set size: 1896 pages
% 0.19/0.51  % E---3.1 exiting
%------------------------------------------------------------------------------