TSTP Solution File: SWC392-1 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : SWC392-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n011.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 19:40:47 EDT 2023

% Result   : Unsatisfiable 0.39s 0.58s
% Output   : CNFRefutation 0.39s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   18
% Syntax   : Number of clauses     :   50 (  19 unt;  15 nHn;  50 RR)
%            Number of literals    :  110 (  46 equ;  55 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-2 aty)
%            Number of variables   :   37 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause145,axiom,
    ( app(X1,X2) = nil
    | nil != X1
    | nil != X2
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.OzUQpIp6KK/E---3.1_25566.p',clause145) ).

cnf(clause8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox2/tmp/tmp.OzUQpIp6KK/E---3.1_25566.p',clause8) ).

cnf(clause98,axiom,
    ( cons(X1,X2) != nil
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.OzUQpIp6KK/E---3.1_25566.p',clause98) ).

cnf(clause157,axiom,
    ( cons(X1,app(X2,X3)) = app(cons(X1,X2),X3)
    | ~ ssItem(X1)
    | ~ ssList(X2)
    | ~ ssList(X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.OzUQpIp6KK/E---3.1_25566.p',clause157) ).

cnf(clause85,axiom,
    ( ssList(app(X2,X1))
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.OzUQpIp6KK/E---3.1_25566.p',clause85) ).

cnf(clause161,axiom,
    ( memberP(X2,X3)
    | X3 = X1
    | ~ memberP(cons(X1,X2),X3)
    | ~ ssList(X2)
    | ~ ssItem(X1)
    | ~ ssItem(X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.OzUQpIp6KK/E---3.1_25566.p',clause161) ).

cnf(co1_15,negated_conjecture,
    ( cons(sk6,nil) = sk3
    | nil = sk3 ),
    file('/export/starexec/sandbox2/tmp/tmp.OzUQpIp6KK/E---3.1_25566.p',co1_15) ).

cnf(co1_11,negated_conjecture,
    ( ssItem(sk6)
    | nil = sk3 ),
    file('/export/starexec/sandbox2/tmp/tmp.OzUQpIp6KK/E---3.1_25566.p',co1_11) ).

cnf(clause71,axiom,
    ( ~ memberP(nil,X1)
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.OzUQpIp6KK/E---3.1_25566.p',clause71) ).

cnf(co1_8,negated_conjecture,
    memberP(sk1,sk5),
    file('/export/starexec/sandbox2/tmp/tmp.OzUQpIp6KK/E---3.1_25566.p',co1_8) ).

cnf(co1_6,negated_conjecture,
    sk1 = sk3,
    file('/export/starexec/sandbox2/tmp/tmp.OzUQpIp6KK/E---3.1_25566.p',co1_6) ).

cnf(clause120,axiom,
    ( app(cons(X1,nil),X2) = cons(X1,X2)
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.OzUQpIp6KK/E---3.1_25566.p',clause120) ).

cnf(co1_12,negated_conjecture,
    ( cons(sk6,nil) = sk3
    | nil = sk4 ),
    file('/export/starexec/sandbox2/tmp/tmp.OzUQpIp6KK/E---3.1_25566.p',co1_12) ).

cnf(co1_10,negated_conjecture,
    ( ssItem(sk6)
    | nil = sk4 ),
    file('/export/starexec/sandbox2/tmp/tmp.OzUQpIp6KK/E---3.1_25566.p',co1_10) ).

cnf(co1_9,negated_conjecture,
    ~ memberP(sk2,sk5),
    file('/export/starexec/sandbox2/tmp/tmp.OzUQpIp6KK/E---3.1_25566.p',co1_9) ).

cnf(co1_5,negated_conjecture,
    sk2 = sk4,
    file('/export/starexec/sandbox2/tmp/tmp.OzUQpIp6KK/E---3.1_25566.p',co1_5) ).

cnf(co1_7,negated_conjecture,
    ssItem(sk5),
    file('/export/starexec/sandbox2/tmp/tmp.OzUQpIp6KK/E---3.1_25566.p',co1_7) ).

cnf(co1_16,negated_conjecture,
    ( memberP(sk4,sk6)
    | nil = sk3 ),
    file('/export/starexec/sandbox2/tmp/tmp.OzUQpIp6KK/E---3.1_25566.p',co1_16) ).

cnf(c_0_18,axiom,
    ( app(X1,X2) = nil
    | nil != X1
    | nil != X2
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    clause145 ).

cnf(c_0_19,axiom,
    ssList(nil),
    clause8 ).

cnf(c_0_20,axiom,
    ( cons(X1,X2) != nil
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    clause98 ).

cnf(c_0_21,axiom,
    ( cons(X1,app(X2,X3)) = app(cons(X1,X2),X3)
    | ~ ssItem(X1)
    | ~ ssList(X2)
    | ~ ssList(X3) ),
    clause157 ).

cnf(c_0_22,axiom,
    ( ssList(app(X2,X1))
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    clause85 ).

cnf(c_0_23,plain,
    app(nil,nil) = nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_18])]),c_0_19])]) ).

cnf(c_0_24,axiom,
    ( memberP(X2,X3)
    | X3 = X1
    | ~ memberP(cons(X1,X2),X3)
    | ~ ssList(X2)
    | ~ ssItem(X1)
    | ~ ssItem(X3) ),
    clause161 ).

cnf(c_0_25,negated_conjecture,
    ( cons(sk6,nil) = sk3
    | nil = sk3 ),
    co1_15 ).

cnf(c_0_26,negated_conjecture,
    ( ssItem(sk6)
    | nil = sk3 ),
    co1_11 ).

cnf(c_0_27,axiom,
    ( ~ memberP(nil,X1)
    | ~ ssItem(X1) ),
    clause71 ).

cnf(c_0_28,negated_conjecture,
    memberP(sk1,sk5),
    co1_8 ).

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

cnf(c_0_30,plain,
    ( app(cons(X1,X2),X3) != nil
    | ~ ssItem(X1)
    | ~ ssList(X3)
    | ~ ssList(X2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22]) ).

cnf(c_0_31,plain,
    ( app(cons(X1,nil),nil) = cons(X1,nil)
    | ~ ssItem(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_23]),c_0_19])]) ).

cnf(c_0_32,axiom,
    ( app(cons(X1,nil),X2) = cons(X1,X2)
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    clause120 ).

cnf(c_0_33,negated_conjecture,
    ( cons(sk6,nil) = sk3
    | nil = sk4 ),
    co1_12 ).

cnf(c_0_34,negated_conjecture,
    ( ssItem(sk6)
    | nil = sk4 ),
    co1_10 ).

cnf(c_0_35,negated_conjecture,
    ~ memberP(sk2,sk5),
    co1_9 ).

cnf(c_0_36,negated_conjecture,
    sk2 = sk4,
    co1_5 ).

cnf(c_0_37,negated_conjecture,
    ( sk3 = nil
    | sk6 = X1
    | ~ memberP(sk3,X1)
    | ~ ssItem(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_19])]),c_0_26]),c_0_27]) ).

cnf(c_0_38,negated_conjecture,
    memberP(sk3,sk5),
    inference(rw,[status(thm)],[c_0_28,c_0_29]) ).

cnf(c_0_39,negated_conjecture,
    ssItem(sk5),
    co1_7 ).

cnf(c_0_40,plain,
    ( cons(X1,nil) != nil
    | ~ ssItem(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_19])]) ).

cnf(c_0_41,negated_conjecture,
    ( cons(sk6,X1) = app(sk3,X1)
    | sk4 = nil
    | ~ ssList(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34]) ).

cnf(c_0_42,negated_conjecture,
    ~ memberP(sk4,sk5),
    inference(rw,[status(thm)],[c_0_35,c_0_36]) ).

cnf(c_0_43,negated_conjecture,
    ( sk5 = sk6
    | sk3 = nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39])]) ).

cnf(c_0_44,negated_conjecture,
    ( memberP(sk4,sk6)
    | nil = sk3 ),
    co1_16 ).

cnf(c_0_45,negated_conjecture,
    ( sk4 = nil
    | app(sk3,nil) != nil ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_19])]),c_0_34]) ).

cnf(c_0_46,negated_conjecture,
    sk3 = nil,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_44]) ).

cnf(c_0_47,negated_conjecture,
    sk4 = nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_45,c_0_46]),c_0_23])]) ).

cnf(c_0_48,negated_conjecture,
    ~ memberP(nil,sk5),
    inference(rw,[status(thm)],[c_0_42,c_0_47]) ).

cnf(c_0_49,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_38,c_0_46]),c_0_48]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14  % Problem    : SWC392-1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.15  % Command    : run_E %s %d THM
% 0.16/0.36  % Computer : n011.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 2400
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Tue Oct  3 01:56:23 EDT 2023
% 0.16/0.37  % CPUTime    : 
% 0.36/0.54  Running first-order theorem proving
% 0.36/0.54  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.OzUQpIp6KK/E---3.1_25566.p
% 0.39/0.58  # Version: 3.1pre001
% 0.39/0.58  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.39/0.58  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.39/0.58  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.39/0.58  # Starting new_bool_3 with 300s (1) cores
% 0.39/0.58  # Starting new_bool_1 with 300s (1) cores
% 0.39/0.58  # Starting sh5l with 300s (1) cores
% 0.39/0.58  # new_bool_3 with pid 25677 completed with status 0
% 0.39/0.58  # Result found by new_bool_3
% 0.39/0.58  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.39/0.58  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.39/0.58  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.39/0.58  # Starting new_bool_3 with 300s (1) cores
% 0.39/0.58  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.39/0.58  # Search class: FGHSF-FFMM22-SFFFFFNN
% 0.39/0.58  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.39/0.58  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.39/0.58  # SAT001_MinMin_p005000_rr_RG with pid 25680 completed with status 0
% 0.39/0.58  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.39/0.58  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.39/0.58  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.39/0.58  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.39/0.58  # Starting new_bool_3 with 300s (1) cores
% 0.39/0.58  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.39/0.58  # Search class: FGHSF-FFMM22-SFFFFFNN
% 0.39/0.58  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.39/0.58  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.39/0.58  # Preprocessing time       : 0.003 s
% 0.39/0.58  # Presaturation interreduction done
% 0.39/0.58  
% 0.39/0.58  # Proof found!
% 0.39/0.58  # SZS status Unsatisfiable
% 0.39/0.58  # SZS output start CNFRefutation
% See solution above
% 0.39/0.58  # Parsed axioms                        : 202
% 0.39/0.58  # Removed by relevancy pruning/SinE    : 149
% 0.39/0.58  # Initial clauses                      : 53
% 0.39/0.58  # Removed in clause preprocessing      : 0
% 0.39/0.58  # Initial clauses in saturation        : 53
% 0.39/0.58  # Processed clauses                    : 334
% 0.39/0.58  # ...of these trivial                  : 4
% 0.39/0.58  # ...subsumed                          : 155
% 0.39/0.58  # ...remaining for further processing  : 174
% 0.39/0.58  # Other redundant clauses eliminated   : 9
% 0.39/0.58  # Clauses deleted for lack of memory   : 0
% 0.39/0.58  # Backward-subsumed                    : 0
% 0.39/0.58  # Backward-rewritten                   : 68
% 0.39/0.58  # Generated clauses                    : 497
% 0.39/0.58  # ...of the previous two non-redundant : 402
% 0.39/0.58  # ...aggressively subsumed             : 0
% 0.39/0.58  # Contextual simplify-reflections      : 40
% 0.39/0.58  # Paramodulations                      : 485
% 0.39/0.58  # Factorizations                       : 0
% 0.39/0.58  # NegExts                              : 0
% 0.39/0.58  # Equation resolutions                 : 13
% 0.39/0.58  # Total rewrite steps                  : 546
% 0.39/0.58  # Propositional unsat checks           : 0
% 0.39/0.58  #    Propositional check models        : 0
% 0.39/0.58  #    Propositional check unsatisfiable : 0
% 0.39/0.58  #    Propositional clauses             : 0
% 0.39/0.58  #    Propositional clauses after purity: 0
% 0.39/0.58  #    Propositional unsat core size     : 0
% 0.39/0.58  #    Propositional preprocessing time  : 0.000
% 0.39/0.58  #    Propositional encoding time       : 0.000
% 0.39/0.58  #    Propositional solver time         : 0.000
% 0.39/0.58  #    Success case prop preproc time    : 0.000
% 0.39/0.58  #    Success case prop encoding time   : 0.000
% 0.39/0.58  #    Success case prop solver time     : 0.000
% 0.39/0.58  # Current number of processed clauses  : 53
% 0.39/0.58  #    Positive orientable unit clauses  : 7
% 0.39/0.58  #    Positive unorientable unit clauses: 0
% 0.39/0.58  #    Negative unit clauses             : 1
% 0.39/0.58  #    Non-unit-clauses                  : 45
% 0.39/0.58  # Current number of unprocessed clauses: 170
% 0.39/0.58  # ...number of literals in the above   : 915
% 0.39/0.58  # Current number of archived formulas  : 0
% 0.39/0.58  # Current number of archived clauses   : 117
% 0.39/0.58  # Clause-clause subsumption calls (NU) : 1724
% 0.39/0.58  # Rec. Clause-clause subsumption calls : 902
% 0.39/0.58  # Non-unit clause-clause subsumptions  : 195
% 0.39/0.58  # Unit Clause-clause subsumption calls : 15
% 0.39/0.58  # Rewrite failures with RHS unbound    : 0
% 0.39/0.58  # BW rewrite match attempts            : 2
% 0.39/0.58  # BW rewrite match successes           : 2
% 0.39/0.58  # Condensation attempts                : 0
% 0.39/0.58  # Condensation successes               : 0
% 0.39/0.58  # Termbank termtop insertions          : 10279
% 0.39/0.58  
% 0.39/0.58  # -------------------------------------------------
% 0.39/0.58  # User time                : 0.019 s
% 0.39/0.58  # System time              : 0.006 s
% 0.39/0.58  # Total time               : 0.025 s
% 0.39/0.58  # Maximum resident set size: 2076 pages
% 0.39/0.58  
% 0.39/0.58  # -------------------------------------------------
% 0.39/0.58  # User time                : 0.023 s
% 0.39/0.58  # System time              : 0.006 s
% 0.39/0.58  # Total time               : 0.029 s
% 0.39/0.58  # Maximum resident set size: 1848 pages
% 0.39/0.58  % E---3.1 exiting
% 0.39/0.58  % E---3.1 exiting
%------------------------------------------------------------------------------