TSTP Solution File: SWC048-1 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : SWC048-1 : TPTP v8.2.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n026.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 04:27:17 EDT 2024

% Result   : Unsatisfiable 0.17s 0.45s
% Output   : CNFRefutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   15
% Syntax   : Number of clauses     :   52 (  16 unt;   9 nHn;  52 RR)
%            Number of literals    :  119 (  36 equ;  65 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :   20 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(co1_8,negated_conjecture,
    ( nil = sk2
    | ~ ssList(X1)
    | ~ neq(X1,nil)
    | ~ rearsegP(sk2,X1)
    | ~ rearsegP(sk1,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).

cnf(co1_10,negated_conjecture,
    ( nil != sk1
    | ~ ssList(X1)
    | ~ neq(X1,nil)
    | ~ rearsegP(sk2,X1)
    | ~ rearsegP(sk1,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).

cnf(co1_9,negated_conjecture,
    ( neq(sk2,nil)
    | nil != sk1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).

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

cnf(co1_11,negated_conjecture,
    ( nil = sk4
    | neq(sk3,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).

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

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

cnf(co1_12,negated_conjecture,
    ( nil = sk4
    | rearsegP(sk4,sk3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).

cnf(clause59,axiom,
    ( rearsegP(X1,X1)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause59) ).

cnf(clause81,axiom,
    ( rearsegP(nil,X1)
    | nil != X1
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause81) ).

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

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

cnf(clause58,axiom,
    ( rearsegP(X1,nil)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause58) ).

cnf(co1_14,negated_conjecture,
    ( nil = sk3
    | rearsegP(sk4,sk3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_14) ).

cnf(clause82,axiom,
    ( nil = X1
    | ~ rearsegP(nil,X1)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause82) ).

cnf(c_0_15,negated_conjecture,
    ( nil = sk2
    | ~ ssList(X1)
    | ~ neq(X1,nil)
    | ~ rearsegP(sk2,X1)
    | ~ rearsegP(sk1,X1) ),
    inference(fof_simplification,[status(thm)],[co1_8]) ).

cnf(c_0_16,negated_conjecture,
    ( nil != sk1
    | ~ ssList(X1)
    | ~ neq(X1,nil)
    | ~ rearsegP(sk2,X1)
    | ~ rearsegP(sk1,X1) ),
    inference(fof_simplification,[status(thm)],[co1_10]) ).

cnf(c_0_17,negated_conjecture,
    ( neq(sk2,nil)
    | nil != sk1 ),
    inference(fof_simplification,[status(thm)],[co1_9]) ).

cnf(c_0_18,negated_conjecture,
    ( nil = sk2
    | ~ ssList(X1)
    | ~ neq(X1,nil)
    | ~ rearsegP(sk2,X1)
    | ~ rearsegP(sk1,X1) ),
    c_0_15 ).

cnf(c_0_19,negated_conjecture,
    sk1 = sk3,
    co1_6 ).

cnf(c_0_20,negated_conjecture,
    ( nil = sk4
    | neq(sk3,nil) ),
    co1_11 ).

cnf(c_0_21,negated_conjecture,
    sk2 = sk4,
    co1_5 ).

cnf(c_0_22,negated_conjecture,
    ssList(sk1),
    co1_1 ).

cnf(c_0_23,negated_conjecture,
    ( nil = sk4
    | rearsegP(sk4,sk3) ),
    co1_12 ).

cnf(c_0_24,negated_conjecture,
    ( nil != sk1
    | ~ ssList(X1)
    | ~ neq(X1,nil)
    | ~ rearsegP(sk2,X1)
    | ~ rearsegP(sk1,X1) ),
    c_0_16 ).

cnf(c_0_25,negated_conjecture,
    ( neq(sk2,nil)
    | nil != sk1 ),
    c_0_17 ).

cnf(c_0_26,negated_conjecture,
    ( sk2 = nil
    | ~ neq(X1,nil)
    | ~ rearsegP(sk3,X1)
    | ~ rearsegP(sk2,X1)
    | ~ ssList(X1) ),
    inference(rw,[status(thm)],[c_0_18,c_0_19]) ).

cnf(c_0_27,negated_conjecture,
    ( sk2 = nil
    | neq(sk3,nil) ),
    inference(rw,[status(thm)],[c_0_20,c_0_21]) ).

cnf(c_0_28,negated_conjecture,
    ssList(sk3),
    inference(rw,[status(thm)],[c_0_22,c_0_19]) ).

cnf(c_0_29,negated_conjecture,
    ( sk2 = nil
    | rearsegP(sk2,sk3) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_21]),c_0_21]) ).

cnf(c_0_30,plain,
    ( rearsegP(X1,X1)
    | ~ ssList(X1) ),
    inference(fof_simplification,[status(thm)],[clause59]) ).

cnf(c_0_31,plain,
    ( rearsegP(nil,X1)
    | nil != X1
    | ~ ssList(X1) ),
    inference(fof_simplification,[status(thm)],[clause81]) ).

cnf(c_0_32,negated_conjecture,
    ( sk3 != nil
    | ~ neq(X1,nil)
    | ~ rearsegP(sk3,X1)
    | ~ rearsegP(sk2,X1)
    | ~ ssList(X1) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_19]),c_0_19]) ).

cnf(c_0_33,negated_conjecture,
    ( neq(sk2,nil)
    | sk3 != nil ),
    inference(rw,[status(thm)],[c_0_25,c_0_19]) ).

cnf(c_0_34,negated_conjecture,
    ssList(sk2),
    co1_2 ).

cnf(c_0_35,negated_conjecture,
    ( sk2 = nil
    | ~ rearsegP(sk3,sk3) ),
    inference(csr,[status(thm)],[inference(cn,[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_36,plain,
    ( rearsegP(X1,X1)
    | ~ ssList(X1) ),
    c_0_30 ).

cnf(c_0_37,plain,
    ( rearsegP(nil,X1)
    | nil != X1
    | ~ ssList(X1) ),
    c_0_31 ).

cnf(c_0_38,axiom,
    ssList(nil),
    clause8 ).

cnf(c_0_39,negated_conjecture,
    ( sk3 != nil
    | ~ rearsegP(sk3,sk2)
    | ~ rearsegP(sk2,sk2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34])]) ).

cnf(c_0_40,negated_conjecture,
    sk2 = nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_28])]) ).

cnf(c_0_41,plain,
    rearsegP(nil,nil),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_37]),c_0_38])]) ).

cnf(c_0_42,plain,
    ( rearsegP(X1,nil)
    | ~ ssList(X1) ),
    inference(fof_simplification,[status(thm)],[clause58]) ).

cnf(c_0_43,negated_conjecture,
    ( nil = sk3
    | rearsegP(sk4,sk3) ),
    co1_14 ).

cnf(c_0_44,negated_conjecture,
    ( sk3 != nil
    | ~ rearsegP(sk3,nil) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_39,c_0_40]),c_0_40]),c_0_40]),c_0_41])]) ).

cnf(c_0_45,plain,
    ( rearsegP(X1,nil)
    | ~ ssList(X1) ),
    c_0_42 ).

cnf(c_0_46,plain,
    ( nil = X1
    | ~ rearsegP(nil,X1)
    | ~ ssList(X1) ),
    inference(fof_simplification,[status(thm)],[clause82]) ).

cnf(c_0_47,negated_conjecture,
    ( sk3 = nil
    | rearsegP(sk2,sk3) ),
    inference(rw,[status(thm)],[c_0_43,c_0_21]) ).

cnf(c_0_48,negated_conjecture,
    sk3 != nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_28])]) ).

cnf(c_0_49,plain,
    ( nil = X1
    | ~ rearsegP(nil,X1)
    | ~ ssList(X1) ),
    c_0_46 ).

cnf(c_0_50,negated_conjecture,
    rearsegP(nil,sk3),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_47,c_0_40]),c_0_48]) ).

cnf(c_0_51,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_28])]),c_0_48]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10  % Problem    : SWC048-1 : TPTP v8.2.0. Released v2.4.0.
% 0.06/0.11  % Command    : run_E %s %d THM
% 0.10/0.32  % Computer : n026.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 02:57:08 EDT 2024
% 0.10/0.32  % CPUTime    : 
% 0.17/0.43  Running first-order model finding
% 0.17/0.43  Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 0.17/0.45  # Version: 3.1.0
% 0.17/0.45  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.17/0.45  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.45  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.17/0.45  # Starting new_bool_3 with 300s (1) cores
% 0.17/0.45  # Starting new_bool_1 with 300s (1) cores
% 0.17/0.45  # Starting sh5l with 300s (1) cores
% 0.17/0.45  # new_bool_3 with pid 7543 completed with status 0
% 0.17/0.45  # Result found by new_bool_3
% 0.17/0.45  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.17/0.45  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.45  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.17/0.45  # Starting new_bool_3 with 300s (1) cores
% 0.17/0.45  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.17/0.45  # Search class: FGHSF-FFMM22-SFFFFFNN
% 0.17/0.45  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.45  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.17/0.45  # SAT001_MinMin_p005000_rr_RG with pid 7546 completed with status 0
% 0.17/0.45  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.17/0.45  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.17/0.45  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.45  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.17/0.45  # Starting new_bool_3 with 300s (1) cores
% 0.17/0.45  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.17/0.45  # Search class: FGHSF-FFMM22-SFFFFFNN
% 0.17/0.45  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.45  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.17/0.45  # Preprocessing time       : 0.002 s
% 0.17/0.45  # Presaturation interreduction done
% 0.17/0.45  
% 0.17/0.45  # Proof found!
% 0.17/0.45  # SZS status Unsatisfiable
% 0.17/0.45  # SZS output start CNFRefutation
% See solution above
% 0.17/0.45  # Parsed axioms                        : 199
% 0.17/0.45  # Removed by relevancy pruning/SinE    : 156
% 0.17/0.45  # Initial clauses                      : 43
% 0.17/0.45  # Removed in clause preprocessing      : 0
% 0.17/0.45  # Initial clauses in saturation        : 43
% 0.17/0.45  # Processed clauses                    : 91
% 0.17/0.45  # ...of these trivial                  : 2
% 0.17/0.45  # ...subsumed                          : 3
% 0.17/0.45  # ...remaining for further processing  : 86
% 0.17/0.45  # Other redundant clauses eliminated   : 6
% 0.17/0.45  # Clauses deleted for lack of memory   : 0
% 0.17/0.45  # Backward-subsumed                    : 1
% 0.17/0.45  # Backward-rewritten                   : 11
% 0.17/0.45  # Generated clauses                    : 27
% 0.17/0.45  # ...of the previous two non-redundant : 25
% 0.17/0.45  # ...aggressively subsumed             : 0
% 0.17/0.45  # Contextual simplify-reflections      : 2
% 0.17/0.45  # Paramodulations                      : 21
% 0.17/0.45  # Factorizations                       : 0
% 0.17/0.45  # NegExts                              : 0
% 0.17/0.45  # Equation resolutions                 : 6
% 0.17/0.45  # Disequality decompositions           : 0
% 0.17/0.45  # Total rewrite steps                  : 52
% 0.17/0.45  # ...of those cached                   : 45
% 0.17/0.45  # Propositional unsat checks           : 0
% 0.17/0.45  #    Propositional check models        : 0
% 0.17/0.45  #    Propositional check unsatisfiable : 0
% 0.17/0.45  #    Propositional clauses             : 0
% 0.17/0.45  #    Propositional clauses after purity: 0
% 0.17/0.45  #    Propositional unsat core size     : 0
% 0.17/0.45  #    Propositional preprocessing time  : 0.000
% 0.17/0.45  #    Propositional encoding time       : 0.000
% 0.17/0.45  #    Propositional solver time         : 0.000
% 0.17/0.45  #    Success case prop preproc time    : 0.000
% 0.17/0.45  #    Success case prop encoding time   : 0.000
% 0.17/0.45  #    Success case prop solver time     : 0.000
% 0.17/0.45  # Current number of processed clauses  : 27
% 0.17/0.45  #    Positive orientable unit clauses  : 9
% 0.17/0.45  #    Positive unorientable unit clauses: 0
% 0.17/0.45  #    Negative unit clauses             : 1
% 0.17/0.45  #    Non-unit-clauses                  : 17
% 0.17/0.45  # Current number of unprocessed clauses: 16
% 0.17/0.45  # ...number of literals in the above   : 72
% 0.17/0.45  # Current number of archived formulas  : 0
% 0.17/0.45  # Current number of archived clauses   : 54
% 0.17/0.45  # Clause-clause subsumption calls (NU) : 374
% 0.17/0.45  # Rec. Clause-clause subsumption calls : 95
% 0.17/0.45  # Non-unit clause-clause subsumptions  : 3
% 0.17/0.45  # Unit Clause-clause subsumption calls : 5
% 0.17/0.45  # Rewrite failures with RHS unbound    : 0
% 0.17/0.45  # BW rewrite match attempts            : 1
% 0.17/0.45  # BW rewrite match successes           : 1
% 0.17/0.45  # Condensation attempts                : 0
% 0.17/0.45  # Condensation successes               : 0
% 0.17/0.45  # Termbank termtop insertions          : 3705
% 0.17/0.45  # Search garbage collected termcells   : 921
% 0.17/0.45  
% 0.17/0.45  # -------------------------------------------------
% 0.17/0.45  # User time                : 0.005 s
% 0.17/0.45  # System time              : 0.002 s
% 0.17/0.45  # Total time               : 0.008 s
% 0.17/0.45  # Maximum resident set size: 1932 pages
% 0.17/0.45  
% 0.17/0.45  # -------------------------------------------------
% 0.17/0.45  # User time                : 0.007 s
% 0.17/0.45  # System time              : 0.004 s
% 0.17/0.45  # Total time               : 0.011 s
% 0.17/0.45  # Maximum resident set size: 1872 pages
% 0.17/0.45  % E---3.1 exiting
%------------------------------------------------------------------------------