TSTP Solution File: SWC080-1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : SWC080-1 : TPTP v8.2.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n006.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 04:23:08 EDT 2024

% Result   : Unsatisfiable 1.77s 0.67s
% Output   : CNFRefutation 1.77s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   15
% Syntax   : Number of clauses     :   49 (  19 unt;   1 nHn;  47 RR)
%            Number of literals    :  117 (  14 equ;  73 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    :    8 (   8 usr;   6 con; 0-2 aty)
%            Number of variables   :   36 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause173,axiom,
    ( segmentP(X4,X2)
    | app(app(X1,X2),X3) != X4
    | ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X4) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause173) ).

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

cnf(co1_14,negated_conjecture,
    ( ~ ssList(X1)
    | ~ neq(X1,nil)
    | ~ segmentP(sk2,X1)
    | ~ segmentP(sk1,X1)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_14) ).

cnf(co1_7,negated_conjecture,
    ( neq(sk2,nil)
    | neq(sk2,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).

cnf(clause8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause8) ).

cnf(clause132,axiom,
    ( app(X2,skaf45(X1,X2)) = X1
    | ~ frontsegP(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause132) ).

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

cnf(clause51,axiom,
    ssList(skaf45(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause51) ).

cnf(co1_1,negated_conjecture,
    ssList(sk1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_1) ).

cnf(co1_16,negated_conjecture,
    ( neq(sk5,nil)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_16) ).

cnf(co1_18,negated_conjecture,
    ( frontsegP(sk3,sk5)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_18) ).

cnf(co1_17,negated_conjecture,
    ( frontsegP(sk4,sk5)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_17) ).

cnf(co1_15,negated_conjecture,
    ( ssList(sk5)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_15) ).

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

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

cnf(c_0_15,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_16,plain,
    ( app(nil,X1) = X1
    | ~ ssList(X1) ),
    inference(fof_simplification,[status(thm)],[clause74]) ).

cnf(c_0_17,negated_conjecture,
    ( ~ ssList(X1)
    | ~ neq(X1,nil)
    | ~ segmentP(sk2,X1)
    | ~ segmentP(sk1,X1)
    | ~ neq(sk4,nil) ),
    inference(fof_simplification,[status(thm)],[co1_14]) ).

cnf(c_0_18,negated_conjecture,
    neq(sk2,nil),
    inference(fof_simplification,[status(thm)],[co1_7]) ).

cnf(c_0_19,plain,
    ( segmentP(X4,X2)
    | app(app(X1,X2),X3) != X4
    | ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X4) ),
    c_0_15 ).

cnf(c_0_20,plain,
    ( app(nil,X1) = X1
    | ~ ssList(X1) ),
    c_0_16 ).

cnf(c_0_21,axiom,
    ssList(nil),
    clause8 ).

cnf(c_0_22,plain,
    ( app(X2,skaf45(X1,X2)) = X1
    | ~ frontsegP(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(fof_simplification,[status(thm)],[clause132]) ).

cnf(c_0_23,negated_conjecture,
    ( ~ ssList(X1)
    | ~ neq(X1,nil)
    | ~ segmentP(sk2,X1)
    | ~ segmentP(sk1,X1)
    | ~ neq(sk4,nil) ),
    c_0_17 ).

cnf(c_0_24,negated_conjecture,
    sk2 = sk4,
    co1_5 ).

cnf(c_0_25,negated_conjecture,
    neq(sk2,nil),
    c_0_18 ).

cnf(c_0_26,plain,
    ( segmentP(X1,X2)
    | app(X2,X3) != X1
    | ~ ssList(X1)
    | ~ ssList(X3)
    | ~ ssList(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21])]) ).

cnf(c_0_27,plain,
    ( app(X2,skaf45(X1,X2)) = X1
    | ~ frontsegP(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    c_0_22 ).

cnf(c_0_28,axiom,
    ssList(skaf45(X1,X2)),
    clause51 ).

cnf(c_0_29,negated_conjecture,
    ( ~ neq(X1,nil)
    | ~ segmentP(sk1,X1)
    | ~ segmentP(sk2,X1)
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_24]),c_0_25])]) ).

cnf(c_0_30,plain,
    ( segmentP(X1,X2)
    | ~ frontsegP(X1,X2)
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28])])]) ).

cnf(c_0_31,negated_conjecture,
    ssList(sk1),
    co1_1 ).

cnf(c_0_32,negated_conjecture,
    ( neq(sk5,nil)
    | ~ neq(sk4,nil) ),
    inference(fof_simplification,[status(thm)],[co1_16]) ).

cnf(c_0_33,negated_conjecture,
    ( frontsegP(sk3,sk5)
    | ~ neq(sk4,nil) ),
    inference(fof_simplification,[status(thm)],[co1_18]) ).

cnf(c_0_34,negated_conjecture,
    ( frontsegP(sk4,sk5)
    | ~ neq(sk4,nil) ),
    inference(fof_simplification,[status(thm)],[co1_17]) ).

cnf(c_0_35,negated_conjecture,
    ( ssList(sk5)
    | ~ neq(sk4,nil) ),
    inference(fof_simplification,[status(thm)],[co1_15]) ).

cnf(c_0_36,negated_conjecture,
    ( ~ neq(X1,nil)
    | ~ frontsegP(sk1,X1)
    | ~ segmentP(sk2,X1)
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31])]) ).

cnf(c_0_37,negated_conjecture,
    ssList(sk2),
    co1_2 ).

cnf(c_0_38,negated_conjecture,
    ( neq(sk5,nil)
    | ~ neq(sk4,nil) ),
    c_0_32 ).

cnf(c_0_39,negated_conjecture,
    ( frontsegP(sk3,sk5)
    | ~ neq(sk4,nil) ),
    c_0_33 ).

cnf(c_0_40,negated_conjecture,
    sk1 = sk3,
    co1_6 ).

cnf(c_0_41,negated_conjecture,
    ( frontsegP(sk4,sk5)
    | ~ neq(sk4,nil) ),
    c_0_34 ).

cnf(c_0_42,negated_conjecture,
    ( ssList(sk5)
    | ~ neq(sk4,nil) ),
    c_0_35 ).

cnf(c_0_43,negated_conjecture,
    ( ~ neq(X1,nil)
    | ~ frontsegP(sk1,X1)
    | ~ frontsegP(sk2,X1)
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_30]),c_0_37])]) ).

cnf(c_0_44,negated_conjecture,
    neq(sk5,nil),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_38,c_0_24]),c_0_25])]) ).

cnf(c_0_45,negated_conjecture,
    frontsegP(sk1,sk5),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_39,c_0_40]),c_0_24]),c_0_25])]) ).

cnf(c_0_46,negated_conjecture,
    frontsegP(sk2,sk5),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_41,c_0_24]),c_0_24]),c_0_25])]) ).

cnf(c_0_47,negated_conjecture,
    ssList(sk5),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_42,c_0_24]),c_0_25])]) ).

cnf(c_0_48,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_45]),c_0_46]),c_0_47])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem    : SWC080-1 : TPTP v8.2.0. Released v2.4.0.
% 0.10/0.11  % Command    : run_E %s %d THM
% 0.10/0.32  % Computer : n006.cluster.edu
% 0.10/0.32  % Model    : x86_64 x86_64
% 0.10/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32  % Memory   : 8042.1875MB
% 0.10/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit   : 300
% 0.10/0.32  % WCLimit    : 300
% 0.10/0.32  % DateTime   : Sun May 19 03:35:23 EDT 2024
% 0.10/0.32  % CPUTime    : 
% 0.16/0.43  Running first-order theorem proving
% 0.16/0.43  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
% 1.77/0.67  # Version: 3.1.0
% 1.77/0.67  # Preprocessing class: FSLSSMSMSSSNFFN.
% 1.77/0.67  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.77/0.67  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 1.77/0.67  # Starting new_bool_3 with 300s (1) cores
% 1.77/0.67  # Starting new_bool_1 with 300s (1) cores
% 1.77/0.67  # Starting sh5l with 300s (1) cores
% 1.77/0.67  # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 2935 completed with status 0
% 1.77/0.67  # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 1.77/0.67  # Preprocessing class: FSLSSMSMSSSNFFN.
% 1.77/0.67  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.77/0.67  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 1.77/0.67  # No SInE strategy applied
% 1.77/0.67  # Search class: FGHSM-FSLM21-MFFFFFNN
% 1.77/0.67  # Scheduled 9 strats onto 5 cores with 1500 seconds (1500 total)
% 1.77/0.67  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2s with 406s (1) cores
% 1.77/0.67  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 1.77/0.67  # Starting G-E--_200_B02_F1_SE_CS_SP_PI_S2k with 136s (1) cores
% 1.77/0.67  # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S04BN with 136s (1) cores
% 1.77/0.67  # Starting G-E--_200_B02_F1_SE_CS_SP_PI_S0S with 136s (1) cores
% 1.77/0.67  # G-E--_301_C18_F1_URBAN_S5PRR_RG_S04BN with pid 2945 completed with status 0
% 1.77/0.67  # Result found by G-E--_301_C18_F1_URBAN_S5PRR_RG_S04BN
% 1.77/0.67  # Preprocessing class: FSLSSMSMSSSNFFN.
% 1.77/0.67  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.77/0.67  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 1.77/0.67  # No SInE strategy applied
% 1.77/0.67  # Search class: FGHSM-FSLM21-MFFFFFNN
% 1.77/0.67  # Scheduled 9 strats onto 5 cores with 1500 seconds (1500 total)
% 1.77/0.67  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2s with 406s (1) cores
% 1.77/0.67  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 1.77/0.67  # Starting G-E--_200_B02_F1_SE_CS_SP_PI_S2k with 136s (1) cores
% 1.77/0.67  # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S04BN with 136s (1) cores
% 1.77/0.67  # Preprocessing time       : 0.004 s
% 1.77/0.67  
% 1.77/0.67  # Proof found!
% 1.77/0.67  # SZS status Unsatisfiable
% 1.77/0.67  # SZS output start CNFRefutation
% See solution above
% 1.77/0.67  # Parsed axioms                        : 203
% 1.77/0.67  # Removed by relevancy pruning/SinE    : 0
% 1.77/0.67  # Initial clauses                      : 203
% 1.77/0.67  # Removed in clause preprocessing      : 0
% 1.77/0.67  # Initial clauses in saturation        : 203
% 1.77/0.67  # Processed clauses                    : 1125
% 1.77/0.67  # ...of these trivial                  : 17
% 1.77/0.67  # ...subsumed                          : 307
% 1.77/0.67  # ...remaining for further processing  : 801
% 1.77/0.67  # Other redundant clauses eliminated   : 47
% 1.77/0.67  # Clauses deleted for lack of memory   : 0
% 1.77/0.67  # Backward-subsumed                    : 22
% 1.77/0.67  # Backward-rewritten                   : 7
% 1.77/0.67  # Generated clauses                    : 8413
% 1.77/0.67  # ...of the previous two non-redundant : 8004
% 1.77/0.67  # ...aggressively subsumed             : 0
% 1.77/0.67  # Contextual simplify-reflections      : 36
% 1.77/0.67  # Paramodulations                      : 8114
% 1.77/0.67  # Factorizations                       : 182
% 1.77/0.67  # NegExts                              : 0
% 1.77/0.67  # Equation resolutions                 : 113
% 1.77/0.67  # Disequality decompositions           : 0
% 1.77/0.67  # Total rewrite steps                  : 2658
% 1.77/0.67  # ...of those cached                   : 2443
% 1.77/0.67  # Propositional unsat checks           : 0
% 1.77/0.67  #    Propositional check models        : 0
% 1.77/0.67  #    Propositional check unsatisfiable : 0
% 1.77/0.67  #    Propositional clauses             : 0
% 1.77/0.67  #    Propositional clauses after purity: 0
% 1.77/0.67  #    Propositional unsat core size     : 0
% 1.77/0.67  #    Propositional preprocessing time  : 0.000
% 1.77/0.67  #    Propositional encoding time       : 0.000
% 1.77/0.67  #    Propositional solver time         : 0.000
% 1.77/0.67  #    Success case prop preproc time    : 0.000
% 1.77/0.67  #    Success case prop encoding time   : 0.000
% 1.77/0.67  #    Success case prop solver time     : 0.000
% 1.77/0.67  # Current number of processed clauses  : 763
% 1.77/0.67  #    Positive orientable unit clauses  : 72
% 1.77/0.67  #    Positive unorientable unit clauses: 0
% 1.77/0.67  #    Negative unit clauses             : 8
% 1.77/0.67  #    Non-unit-clauses                  : 683
% 1.77/0.67  # Current number of unprocessed clauses: 7048
% 1.77/0.67  # ...number of literals in the above   : 26894
% 1.77/0.67  # Current number of archived formulas  : 0
% 1.77/0.67  # Current number of archived clauses   : 33
% 1.77/0.67  # Clause-clause subsumption calls (NU) : 49068
% 1.77/0.67  # Rec. Clause-clause subsumption calls : 13469
% 1.77/0.67  # Non-unit clause-clause subsumptions  : 302
% 1.77/0.67  # Unit Clause-clause subsumption calls : 1060
% 1.77/0.67  # Rewrite failures with RHS unbound    : 0
% 1.77/0.67  # BW rewrite match attempts            : 2
% 1.77/0.67  # BW rewrite match successes           : 2
% 1.77/0.67  # Condensation attempts                : 0
% 1.77/0.67  # Condensation successes               : 0
% 1.77/0.67  # Termbank termtop insertions          : 138932
% 1.77/0.67  # Search garbage collected termcells   : 548
% 1.77/0.67  
% 1.77/0.67  # -------------------------------------------------
% 1.77/0.67  # User time                : 0.206 s
% 1.77/0.67  # System time              : 0.016 s
% 1.77/0.67  # Total time               : 0.221 s
% 1.77/0.67  # Maximum resident set size: 2148 pages
% 1.77/0.67  
% 1.77/0.67  # -------------------------------------------------
% 1.77/0.67  # User time                : 1.026 s
% 1.77/0.67  # System time              : 0.056 s
% 1.77/0.67  # Total time               : 1.082 s
% 1.77/0.67  # Maximum resident set size: 1876 pages
% 1.77/0.67  % E---3.1 exiting
% 1.77/0.67  % E exiting
%------------------------------------------------------------------------------