TSTP Solution File: SWC003-1 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : SWC003-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n003.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 : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 19:38:48 EDT 2023

% Result   : Unsatisfiable 0.18s 0.48s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   13
% Syntax   : Number of clauses     :   39 (  16 unt;   3 nHn;  39 RR)
%            Number of literals    :   85 (  23 equ;  50 neg)
%            Maximal clause size   :    7 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   8 con; 0-2 aty)
%            Number of variables   :   22 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(co1_7,negated_conjecture,
    ( neq(sk2,nil)
    | neq(sk2,nil) ),
    file('/export/starexec/sandbox2/tmp/tmp.Fzl8DADt9X/E---3.1_28489.p',co1_7) ).

cnf(co1_5,negated_conjecture,
    sk2 = sk4,
    file('/export/starexec/sandbox2/tmp/tmp.Fzl8DADt9X/E---3.1_28489.p',co1_5) ).

cnf(co1_16,negated_conjecture,
    ( ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | app(app(X1,X2),X3) != sk2
    | app(X1,X3) != sk1
    | ~ neq(X2,nil)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox2/tmp/tmp.Fzl8DADt9X/E---3.1_28489.p',co1_16) ).

cnf(co1_21,negated_conjecture,
    ( app(sk6,sk7) = sk3
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox2/tmp/tmp.Fzl8DADt9X/E---3.1_28489.p',co1_21) ).

cnf(co1_6,negated_conjecture,
    sk1 = sk3,
    file('/export/starexec/sandbox2/tmp/tmp.Fzl8DADt9X/E---3.1_28489.p',co1_6) ).

cnf(co1_19,negated_conjecture,
    ( ssList(sk7)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox2/tmp/tmp.Fzl8DADt9X/E---3.1_28489.p',co1_19) ).

cnf(co1_18,negated_conjecture,
    ( ssList(sk6)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox2/tmp/tmp.Fzl8DADt9X/E---3.1_28489.p',co1_18) ).

cnf(co1_20,negated_conjecture,
    ( app(app(sk6,cons(sk5,nil)),sk7) = sk4
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox2/tmp/tmp.Fzl8DADt9X/E---3.1_28489.p',co1_20) ).

cnf(clause100,axiom,
    ( neq(X2,X1)
    | X2 = X1
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.Fzl8DADt9X/E---3.1_28489.p',clause100) ).

cnf(clause8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox2/tmp/tmp.Fzl8DADt9X/E---3.1_28489.p',clause8) ).

cnf(co1_17,negated_conjecture,
    ( ssItem(sk5)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox2/tmp/tmp.Fzl8DADt9X/E---3.1_28489.p',co1_17) ).

cnf(clause86,axiom,
    ( ssList(cons(X1,X2))
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.Fzl8DADt9X/E---3.1_28489.p',clause86) ).

cnf(clause99,axiom,
    ( cons(X1,X2) != X2
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.Fzl8DADt9X/E---3.1_28489.p',clause99) ).

cnf(c_0_13,negated_conjecture,
    neq(sk2,nil),
    inference(fof_simplification,[status(thm)],[co1_7]) ).

cnf(c_0_14,negated_conjecture,
    neq(sk2,nil),
    c_0_13 ).

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

cnf(c_0_16,negated_conjecture,
    ( ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | app(app(X1,X2),X3) != sk2
    | app(X1,X3) != sk1
    | ~ neq(X2,nil)
    | ~ neq(sk4,nil) ),
    co1_16 ).

cnf(c_0_17,negated_conjecture,
    neq(sk4,nil),
    inference(rw,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_18,negated_conjecture,
    ( app(sk6,sk7) = sk3
    | ~ neq(sk4,nil) ),
    co1_21 ).

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

cnf(c_0_20,negated_conjecture,
    ( ssList(sk7)
    | ~ neq(sk4,nil) ),
    co1_19 ).

cnf(c_0_21,negated_conjecture,
    ( ssList(sk6)
    | ~ neq(sk4,nil) ),
    co1_18 ).

cnf(c_0_22,negated_conjecture,
    ( app(app(X1,X2),X3) != sk4
    | app(X1,X3) != sk1
    | ~ neq(X2,nil)
    | ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_15]),c_0_17])]) ).

cnf(c_0_23,negated_conjecture,
    app(sk6,sk7) = sk1,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_18,c_0_19]),c_0_17])]) ).

cnf(c_0_24,negated_conjecture,
    ssList(sk7),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_17])]) ).

cnf(c_0_25,negated_conjecture,
    ssList(sk6),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_17])]) ).

cnf(c_0_26,negated_conjecture,
    ( app(app(sk6,cons(sk5,nil)),sk7) = sk4
    | ~ neq(sk4,nil) ),
    co1_20 ).

cnf(c_0_27,negated_conjecture,
    ( app(app(sk6,X1),sk7) != sk4
    | ~ neq(X1,nil)
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]),c_0_25])]) ).

cnf(c_0_28,negated_conjecture,
    app(app(sk6,cons(sk5,nil)),sk7) = sk4,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_26,c_0_17])]) ).

cnf(c_0_29,negated_conjecture,
    ( ~ neq(cons(sk5,nil),nil)
    | ~ ssList(cons(sk5,nil)) ),
    inference(spm,[status(thm)],[c_0_27,c_0_28]) ).

cnf(c_0_30,axiom,
    ( neq(X2,X1)
    | X2 = X1
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    clause100 ).

cnf(c_0_31,axiom,
    ssList(nil),
    clause8 ).

cnf(c_0_32,negated_conjecture,
    ( ssItem(sk5)
    | ~ neq(sk4,nil) ),
    co1_17 ).

cnf(c_0_33,negated_conjecture,
    ( cons(sk5,nil) = nil
    | ~ ssList(cons(sk5,nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31])]) ).

cnf(c_0_34,axiom,
    ( ssList(cons(X1,X2))
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    clause86 ).

cnf(c_0_35,negated_conjecture,
    ssItem(sk5),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_32,c_0_17])]) ).

cnf(c_0_36,axiom,
    ( cons(X1,X2) != X2
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    clause99 ).

cnf(c_0_37,negated_conjecture,
    cons(sk5,nil) = nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35]),c_0_31])]) ).

cnf(c_0_38,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_35]),c_0_31])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : SWC003-1 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.12  % Command    : run_E %s %d THM
% 0.12/0.32  % Computer : n003.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   : 2400
% 0.12/0.32  % WCLimit    : 300
% 0.12/0.32  % DateTime   : Tue Oct  3 01:43:48 EDT 2023
% 0.12/0.32  % CPUTime    : 
% 0.18/0.44  Running first-order theorem proving
% 0.18/0.44  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/tmp/tmp.Fzl8DADt9X/E---3.1_28489.p
% 0.18/0.48  # Version: 3.1pre001
% 0.18/0.48  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.18/0.48  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.48  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.18/0.48  # Starting new_bool_3 with 300s (1) cores
% 0.18/0.48  # Starting new_bool_1 with 300s (1) cores
% 0.18/0.48  # Starting sh5l with 300s (1) cores
% 0.18/0.48  # sh5l with pid 28570 completed with status 0
% 0.18/0.48  # Result found by sh5l
% 0.18/0.48  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.18/0.48  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.48  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.18/0.48  # Starting new_bool_3 with 300s (1) cores
% 0.18/0.48  # Starting new_bool_1 with 300s (1) cores
% 0.18/0.48  # Starting sh5l with 300s (1) cores
% 0.18/0.48  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.18/0.48  # Search class: FGHSM-FSLM21-MFFFFFNN
% 0.18/0.48  # Scheduled 9 strats onto 1 cores with 300 seconds (300 total)
% 0.18/0.48  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2s with 82s (1) cores
% 0.18/0.48  # G-E--_208_C18_F1_SE_CS_SP_PS_S2s with pid 28574 completed with status 0
% 0.18/0.48  # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S2s
% 0.18/0.48  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.18/0.48  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.48  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.18/0.48  # Starting new_bool_3 with 300s (1) cores
% 0.18/0.48  # Starting new_bool_1 with 300s (1) cores
% 0.18/0.48  # Starting sh5l with 300s (1) cores
% 0.18/0.48  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.18/0.48  # Search class: FGHSM-FSLM21-MFFFFFNN
% 0.18/0.48  # Scheduled 9 strats onto 1 cores with 300 seconds (300 total)
% 0.18/0.48  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2s with 82s (1) cores
% 0.18/0.48  # Preprocessing time       : 0.002 s
% 0.18/0.48  # Presaturation interreduction done
% 0.18/0.48  
% 0.18/0.48  # Proof found!
% 0.18/0.48  # SZS status Unsatisfiable
% 0.18/0.48  # SZS output start CNFRefutation
% See solution above
% 0.18/0.48  # Parsed axioms                        : 207
% 0.18/0.48  # Removed by relevancy pruning/SinE    : 57
% 0.18/0.48  # Initial clauses                      : 150
% 0.18/0.48  # Removed in clause preprocessing      : 0
% 0.18/0.48  # Initial clauses in saturation        : 150
% 0.18/0.48  # Processed clauses                    : 288
% 0.18/0.48  # ...of these trivial                  : 10
% 0.18/0.48  # ...subsumed                          : 12
% 0.18/0.48  # ...remaining for further processing  : 266
% 0.18/0.48  # Other redundant clauses eliminated   : 23
% 0.18/0.48  # Clauses deleted for lack of memory   : 0
% 0.18/0.48  # Backward-subsumed                    : 0
% 0.18/0.48  # Backward-rewritten                   : 6
% 0.18/0.48  # Generated clauses                    : 120
% 0.18/0.48  # ...of the previous two non-redundant : 89
% 0.18/0.48  # ...aggressively subsumed             : 0
% 0.18/0.48  # Contextual simplify-reflections      : 3
% 0.18/0.48  # Paramodulations                      : 96
% 0.18/0.48  # Factorizations                       : 0
% 0.18/0.48  # NegExts                              : 0
% 0.18/0.48  # Equation resolutions                 : 25
% 0.18/0.48  # Total rewrite steps                  : 141
% 0.18/0.48  # Propositional unsat checks           : 0
% 0.18/0.48  #    Propositional check models        : 0
% 0.18/0.48  #    Propositional check unsatisfiable : 0
% 0.18/0.48  #    Propositional clauses             : 0
% 0.18/0.48  #    Propositional clauses after purity: 0
% 0.18/0.48  #    Propositional unsat core size     : 0
% 0.18/0.48  #    Propositional preprocessing time  : 0.000
% 0.18/0.48  #    Propositional encoding time       : 0.000
% 0.18/0.48  #    Propositional solver time         : 0.000
% 0.18/0.48  #    Success case prop preproc time    : 0.000
% 0.18/0.48  #    Success case prop encoding time   : 0.000
% 0.18/0.48  #    Success case prop solver time     : 0.000
% 0.18/0.48  # Current number of processed clauses  : 110
% 0.18/0.48  #    Positive orientable unit clauses  : 43
% 0.18/0.48  #    Positive unorientable unit clauses: 0
% 0.18/0.48  #    Negative unit clauses             : 0
% 0.18/0.48  #    Non-unit-clauses                  : 67
% 0.18/0.48  # Current number of unprocessed clauses: 82
% 0.18/0.48  # ...number of literals in the above   : 393
% 0.18/0.48  # Current number of archived formulas  : 0
% 0.18/0.48  # Current number of archived clauses   : 140
% 0.18/0.48  # Clause-clause subsumption calls (NU) : 4777
% 0.18/0.48  # Rec. Clause-clause subsumption calls : 617
% 0.18/0.48  # Non-unit clause-clause subsumptions  : 15
% 0.18/0.48  # Unit Clause-clause subsumption calls : 9
% 0.18/0.48  # Rewrite failures with RHS unbound    : 0
% 0.18/0.48  # BW rewrite match attempts            : 2
% 0.18/0.48  # BW rewrite match successes           : 2
% 0.18/0.48  # Condensation attempts                : 0
% 0.18/0.48  # Condensation successes               : 0
% 0.18/0.48  # Termbank termtop insertions          : 7451
% 0.18/0.48  
% 0.18/0.48  # -------------------------------------------------
% 0.18/0.48  # User time                : 0.016 s
% 0.18/0.48  # System time              : 0.004 s
% 0.18/0.48  # Total time               : 0.020 s
% 0.18/0.48  # Maximum resident set size: 2180 pages
% 0.18/0.48  
% 0.18/0.48  # -------------------------------------------------
% 0.18/0.48  # User time                : 0.020 s
% 0.18/0.48  # System time              : 0.005 s
% 0.18/0.48  # Total time               : 0.025 s
% 0.18/0.48  # Maximum resident set size: 1856 pages
% 0.18/0.48  % E---3.1 exiting
% 0.18/0.48  % E---3.1 exiting
%------------------------------------------------------------------------------