TSTP Solution File: SWC386-1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SWC386-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n021.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 19:42:54 EDT 2023

% Result   : Unsatisfiable 0.17s 0.48s
% Output   : CNFRefutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   38 (  11 unt;  15 nHn;  38 RR)
%            Number of literals    :   75 (  36 equ;  28 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :   10 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(co1_14,negated_conjecture,
    ( nil = sk2
    | ~ ssItem(X1)
    | cons(X1,nil) != sk1
    | ~ memberP(sk2,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.yUgUNp3kaI/E---3.1_23520.p',co1_14) ).

cnf(co1_6,negated_conjecture,
    sk1 = sk3,
    file('/export/starexec/sandbox/tmp/tmp.yUgUNp3kaI/E---3.1_23520.p',co1_6) ).

cnf(co1_10,negated_conjecture,
    ( memberP(sk4,sk5)
    | nil = sk4 ),
    file('/export/starexec/sandbox/tmp/tmp.yUgUNp3kaI/E---3.1_23520.p',co1_10) ).

cnf(co1_5,negated_conjecture,
    sk2 = sk4,
    file('/export/starexec/sandbox/tmp/tmp.yUgUNp3kaI/E---3.1_23520.p',co1_5) ).

cnf(co1_7,negated_conjecture,
    ( ssItem(sk5)
    | nil = sk4 ),
    file('/export/starexec/sandbox/tmp/tmp.yUgUNp3kaI/E---3.1_23520.p',co1_7) ).

cnf(co1_9,negated_conjecture,
    ( cons(sk5,nil) = sk3
    | nil = sk4 ),
    file('/export/starexec/sandbox/tmp/tmp.yUgUNp3kaI/E---3.1_23520.p',co1_9) ).

cnf(co1_15,negated_conjecture,
    ( neq(sk2,nil)
    | nil != sk1 ),
    file('/export/starexec/sandbox/tmp/tmp.yUgUNp3kaI/E---3.1_23520.p',co1_15) ).

cnf(co1_12,negated_conjecture,
    ( memberP(sk4,sk5)
    | nil = sk3 ),
    file('/export/starexec/sandbox/tmp/tmp.yUgUNp3kaI/E---3.1_23520.p',co1_12) ).

cnf(clause115,axiom,
    ( X1 != X2
    | ~ neq(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.yUgUNp3kaI/E---3.1_23520.p',clause115) ).

cnf(clause8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox/tmp/tmp.yUgUNp3kaI/E---3.1_23520.p',clause8) ).

cnf(co1_8,negated_conjecture,
    ( ssItem(sk5)
    | nil = sk3 ),
    file('/export/starexec/sandbox/tmp/tmp.yUgUNp3kaI/E---3.1_23520.p',co1_8) ).

cnf(clause71,axiom,
    ( ~ memberP(nil,X1)
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.yUgUNp3kaI/E---3.1_23520.p',clause71) ).

cnf(c_0_12,negated_conjecture,
    ( nil = sk2
    | ~ ssItem(X1)
    | cons(X1,nil) != sk1
    | ~ memberP(sk2,X1) ),
    co1_14 ).

cnf(c_0_13,negated_conjecture,
    sk1 = sk3,
    co1_6 ).

cnf(c_0_14,negated_conjecture,
    ( memberP(sk4,sk5)
    | nil = sk4 ),
    co1_10 ).

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

cnf(c_0_16,negated_conjecture,
    ( ssItem(sk5)
    | nil = sk4 ),
    co1_7 ).

cnf(c_0_17,negated_conjecture,
    ( cons(sk5,nil) = sk3
    | nil = sk4 ),
    co1_9 ).

cnf(c_0_18,negated_conjecture,
    ( neq(sk2,nil)
    | nil != sk1 ),
    co1_15 ).

cnf(c_0_19,negated_conjecture,
    ( sk2 = nil
    | cons(X1,nil) != sk3
    | ~ memberP(sk2,X1)
    | ~ ssItem(X1) ),
    inference(rw,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_20,negated_conjecture,
    ( sk2 = nil
    | memberP(sk2,sk5) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_15]),c_0_15]) ).

cnf(c_0_21,negated_conjecture,
    ( sk2 = nil
    | ssItem(sk5) ),
    inference(rw,[status(thm)],[c_0_16,c_0_15]) ).

cnf(c_0_22,negated_conjecture,
    ( cons(sk5,nil) = sk3
    | sk2 = nil ),
    inference(rw,[status(thm)],[c_0_17,c_0_15]) ).

cnf(c_0_23,negated_conjecture,
    ( memberP(sk4,sk5)
    | nil = sk3 ),
    co1_12 ).

cnf(c_0_24,axiom,
    ( X1 != X2
    | ~ neq(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    clause115 ).

cnf(c_0_25,negated_conjecture,
    ( neq(sk2,nil)
    | sk3 != nil ),
    inference(rw,[status(thm)],[c_0_18,c_0_13]) ).

cnf(c_0_26,negated_conjecture,
    sk2 = nil,
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21]),c_0_22]) ).

cnf(c_0_27,negated_conjecture,
    ( sk3 = nil
    | memberP(sk2,sk5) ),
    inference(rw,[status(thm)],[c_0_23,c_0_15]) ).

cnf(c_0_28,plain,
    ( ~ neq(X1,X1)
    | ~ ssList(X1) ),
    inference(er,[status(thm)],[c_0_24]) ).

cnf(c_0_29,negated_conjecture,
    ( neq(nil,nil)
    | sk3 != nil ),
    inference(rw,[status(thm)],[c_0_25,c_0_26]) ).

cnf(c_0_30,axiom,
    ssList(nil),
    clause8 ).

cnf(c_0_31,negated_conjecture,
    ( sk3 = nil
    | memberP(nil,sk5) ),
    inference(rw,[status(thm)],[c_0_27,c_0_26]) ).

cnf(c_0_32,negated_conjecture,
    sk3 != nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30])]) ).

cnf(c_0_33,negated_conjecture,
    ( ssItem(sk5)
    | nil = sk3 ),
    co1_8 ).

cnf(c_0_34,axiom,
    ( ~ memberP(nil,X1)
    | ~ ssItem(X1) ),
    clause71 ).

cnf(c_0_35,negated_conjecture,
    memberP(nil,sk5),
    inference(sr,[status(thm)],[c_0_31,c_0_32]) ).

cnf(c_0_36,negated_conjecture,
    ssItem(sk5),
    inference(sr,[status(thm)],[c_0_33,c_0_32]) ).

cnf(c_0_37,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11  % Problem    : SWC386-1 : TPTP v8.1.2. Released v2.4.0.
% 0.05/0.12  % Command    : run_E %s %d THM
% 0.11/0.32  % Computer : n021.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 2400
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Tue Oct  3 01:57:29 EDT 2023
% 0.11/0.32  % CPUTime    : 
% 0.17/0.45  Running first-order model finding
% 0.17/0.45  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/tmp/tmp.yUgUNp3kaI/E---3.1_23520.p
% 0.17/0.48  # Version: 3.1pre001
% 0.17/0.48  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.17/0.48  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.48  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.17/0.48  # Starting new_bool_3 with 300s (1) cores
% 0.17/0.48  # Starting new_bool_1 with 300s (1) cores
% 0.17/0.48  # Starting sh5l with 300s (1) cores
% 0.17/0.48  # new_bool_3 with pid 23599 completed with status 0
% 0.17/0.48  # Result found by new_bool_3
% 0.17/0.48  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.17/0.48  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.48  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.17/0.48  # Starting new_bool_3 with 300s (1) cores
% 0.17/0.48  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.17/0.48  # Search class: FGHSF-FFMM22-SFFFFFNN
% 0.17/0.48  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.48  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.17/0.48  # SAT001_MinMin_p005000_rr_RG with pid 23603 completed with status 0
% 0.17/0.48  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.17/0.48  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.17/0.48  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.48  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.17/0.48  # Starting new_bool_3 with 300s (1) cores
% 0.17/0.48  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.17/0.48  # Search class: FGHSF-FFMM22-SFFFFFNN
% 0.17/0.48  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.48  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.17/0.48  # Preprocessing time       : 0.006 s
% 0.17/0.48  # Presaturation interreduction done
% 0.17/0.48  
% 0.17/0.48  # Proof found!
% 0.17/0.48  # SZS status Unsatisfiable
% 0.17/0.48  # SZS output start CNFRefutation
% See solution above
% 0.17/0.48  # Parsed axioms                        : 201
% 0.17/0.48  # Removed by relevancy pruning/SinE    : 156
% 0.17/0.48  # Initial clauses                      : 45
% 0.17/0.48  # Removed in clause preprocessing      : 0
% 0.17/0.48  # Initial clauses in saturation        : 45
% 0.17/0.48  # Processed clauses                    : 87
% 0.17/0.48  # ...of these trivial                  : 2
% 0.17/0.48  # ...subsumed                          : 2
% 0.17/0.48  # ...remaining for further processing  : 83
% 0.17/0.48  # Other redundant clauses eliminated   : 6
% 0.17/0.48  # Clauses deleted for lack of memory   : 0
% 0.17/0.48  # Backward-subsumed                    : 1
% 0.17/0.48  # Backward-rewritten                   : 11
% 0.17/0.48  # Generated clauses                    : 24
% 0.17/0.48  # ...of the previous two non-redundant : 20
% 0.17/0.48  # ...aggressively subsumed             : 0
% 0.17/0.48  # Contextual simplify-reflections      : 3
% 0.17/0.48  # Paramodulations                      : 16
% 0.17/0.48  # Factorizations                       : 0
% 0.17/0.48  # NegExts                              : 0
% 0.17/0.48  # Equation resolutions                 : 6
% 0.17/0.48  # Total rewrite steps                  : 41
% 0.17/0.48  # Propositional unsat checks           : 0
% 0.17/0.48  #    Propositional check models        : 0
% 0.17/0.48  #    Propositional check unsatisfiable : 0
% 0.17/0.48  #    Propositional clauses             : 0
% 0.17/0.48  #    Propositional clauses after purity: 0
% 0.17/0.48  #    Propositional unsat core size     : 0
% 0.17/0.48  #    Propositional preprocessing time  : 0.000
% 0.17/0.48  #    Propositional encoding time       : 0.000
% 0.17/0.48  #    Propositional solver time         : 0.000
% 0.17/0.48  #    Success case prop preproc time    : 0.000
% 0.17/0.48  #    Success case prop encoding time   : 0.000
% 0.17/0.48  #    Success case prop solver time     : 0.000
% 0.17/0.48  # Current number of processed clauses  : 20
% 0.17/0.48  #    Positive orientable unit clauses  : 8
% 0.17/0.48  #    Positive unorientable unit clauses: 0
% 0.17/0.48  #    Negative unit clauses             : 1
% 0.17/0.48  #    Non-unit-clauses                  : 11
% 0.17/0.48  # Current number of unprocessed clauses: 19
% 0.17/0.48  # ...number of literals in the above   : 84
% 0.17/0.48  # Current number of archived formulas  : 0
% 0.17/0.48  # Current number of archived clauses   : 58
% 0.17/0.48  # Clause-clause subsumption calls (NU) : 415
% 0.17/0.48  # Rec. Clause-clause subsumption calls : 92
% 0.17/0.48  # Non-unit clause-clause subsumptions  : 5
% 0.17/0.48  # Unit Clause-clause subsumption calls : 6
% 0.17/0.48  # Rewrite failures with RHS unbound    : 0
% 0.17/0.48  # BW rewrite match attempts            : 1
% 0.17/0.48  # BW rewrite match successes           : 1
% 0.17/0.48  # Condensation attempts                : 0
% 0.17/0.48  # Condensation successes               : 0
% 0.17/0.48  # Termbank termtop insertions          : 3106
% 0.17/0.48  
% 0.17/0.48  # -------------------------------------------------
% 0.17/0.48  # User time                : 0.006 s
% 0.17/0.48  # System time              : 0.006 s
% 0.17/0.48  # Total time               : 0.012 s
% 0.17/0.48  # Maximum resident set size: 1936 pages
% 0.17/0.48  
% 0.17/0.48  # -------------------------------------------------
% 0.17/0.48  # User time                : 0.009 s
% 0.17/0.48  # System time              : 0.009 s
% 0.17/0.48  # Total time               : 0.018 s
% 0.17/0.48  # Maximum resident set size: 1852 pages
% 0.17/0.48  % E---3.1 exiting
%------------------------------------------------------------------------------