TSTP Solution File: SWC317-1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SWC317-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n018.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 19:42:33 EDT 2023

% Result   : Unsatisfiable 0.21s 0.54s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   25 (  11 unt;   1 nHn;  25 RR)
%            Number of literals    :   47 (  16 equ;  24 neg)
%            Maximal clause size   :    5 (   1 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   :    6 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(co1_7,negated_conjecture,
    ( neq(sk2,nil)
    | neq(sk2,nil) ),
    file('/export/starexec/sandbox/tmp/tmp.x6JRcjMysc/E---3.1_15130.p',co1_7) ).

cnf(co1_15,negated_conjecture,
    ( ssItem(sk5)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox/tmp/tmp.x6JRcjMysc/E---3.1_15130.p',co1_15) ).

cnf(co1_5,negated_conjecture,
    sk2 = sk4,
    file('/export/starexec/sandbox/tmp/tmp.x6JRcjMysc/E---3.1_15130.p',co1_5) ).

cnf(co1_16,negated_conjecture,
    ( ssList(sk6)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox/tmp/tmp.x6JRcjMysc/E---3.1_15130.p',co1_16) ).

cnf(co1_14,negated_conjecture,
    ( ~ ssItem(X1)
    | ~ ssList(X2)
    | app(cons(X1,nil),X2) != sk1
    | app(X2,cons(X1,nil)) != sk2
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox/tmp/tmp.x6JRcjMysc/E---3.1_15130.p',co1_14) ).

cnf(co1_18,negated_conjecture,
    ( app(sk6,cons(sk5,nil)) = sk4
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox/tmp/tmp.x6JRcjMysc/E---3.1_15130.p',co1_18) ).

cnf(co1_17,negated_conjecture,
    ( app(cons(sk5,nil),sk6) = sk3
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox/tmp/tmp.x6JRcjMysc/E---3.1_15130.p',co1_17) ).

cnf(co1_6,negated_conjecture,
    sk1 = sk3,
    file('/export/starexec/sandbox/tmp/tmp.x6JRcjMysc/E---3.1_15130.p',co1_6) ).

cnf(c_0_8,negated_conjecture,
    neq(sk2,nil),
    inference(fof_simplification,[status(thm)],[co1_7]) ).

cnf(c_0_9,negated_conjecture,
    ( ssItem(sk5)
    | ~ neq(sk4,nil) ),
    co1_15 ).

cnf(c_0_10,negated_conjecture,
    sk2 = sk4,
    co1_5 ).

cnf(c_0_11,negated_conjecture,
    ( ssList(sk6)
    | ~ neq(sk4,nil) ),
    co1_16 ).

cnf(c_0_12,negated_conjecture,
    ( ~ ssItem(X1)
    | ~ ssList(X2)
    | app(cons(X1,nil),X2) != sk1
    | app(X2,cons(X1,nil)) != sk2
    | ~ neq(sk4,nil) ),
    co1_14 ).

cnf(c_0_13,negated_conjecture,
    neq(sk2,nil),
    c_0_8 ).

cnf(c_0_14,negated_conjecture,
    ( app(sk6,cons(sk5,nil)) = sk4
    | ~ neq(sk4,nil) ),
    co1_18 ).

cnf(c_0_15,negated_conjecture,
    ( app(cons(sk5,nil),sk6) = sk3
    | ~ neq(sk4,nil) ),
    co1_17 ).

cnf(c_0_16,negated_conjecture,
    sk1 = sk3,
    co1_6 ).

cnf(c_0_17,negated_conjecture,
    ( ssItem(sk5)
    | ~ neq(sk2,nil) ),
    inference(rw,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_18,negated_conjecture,
    ( ssList(sk6)
    | ~ neq(sk2,nil) ),
    inference(rw,[status(thm)],[c_0_11,c_0_10]) ).

cnf(c_0_19,negated_conjecture,
    ( app(X1,cons(X2,nil)) != sk2
    | app(cons(X2,nil),X1) != sk1
    | ~ ssItem(X2)
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_10]),c_0_13])]) ).

cnf(c_0_20,negated_conjecture,
    app(sk6,cons(sk5,nil)) = sk2,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_10]),c_0_10]),c_0_13])]) ).

cnf(c_0_21,negated_conjecture,
    app(cons(sk5,nil),sk6) = sk1,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_16]),c_0_10]),c_0_13])]) ).

cnf(c_0_22,negated_conjecture,
    ssItem(sk5),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_13])]) ).

cnf(c_0_23,negated_conjecture,
    ssList(sk6),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_18,c_0_13])]) ).

cnf(c_0_24,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_19,c_0_20]),c_0_21]),c_0_22]),c_0_23])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13  % Problem    : SWC317-1 : TPTP v8.1.2. Released v2.4.0.
% 0.13/0.14  % Command    : run_E %s %d THM
% 0.14/0.36  % Computer : n018.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 2400
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Tue Oct  3 02:03:54 EDT 2023
% 0.14/0.36  % CPUTime    : 
% 0.21/0.52  Running first-order model finding
% 0.21/0.52  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.x6JRcjMysc/E---3.1_15130.p
% 0.21/0.54  # Version: 3.1pre001
% 0.21/0.54  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.21/0.54  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.54  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.21/0.54  # Starting new_bool_3 with 300s (1) cores
% 0.21/0.54  # Starting new_bool_1 with 300s (1) cores
% 0.21/0.54  # Starting sh5l with 300s (1) cores
% 0.21/0.54  # new_bool_3 with pid 15216 completed with status 0
% 0.21/0.54  # Result found by new_bool_3
% 0.21/0.54  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.21/0.54  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.54  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.21/0.54  # Starting new_bool_3 with 300s (1) cores
% 0.21/0.54  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.21/0.54  # Search class: FGHSF-FFMM22-SFFFFFNN
% 0.21/0.54  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.54  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.21/0.54  # SAT001_MinMin_p005000_rr_RG with pid 15219 completed with status 0
% 0.21/0.54  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.21/0.54  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.21/0.54  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.54  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.21/0.54  # Starting new_bool_3 with 300s (1) cores
% 0.21/0.54  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.21/0.54  # Search class: FGHSF-FFMM22-SFFFFFNN
% 0.21/0.54  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.54  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.21/0.54  # Preprocessing time       : 0.004 s
% 0.21/0.54  # Presaturation interreduction done
% 0.21/0.54  
% 0.21/0.54  # Proof found!
% 0.21/0.54  # SZS status Unsatisfiable
% 0.21/0.54  # SZS output start CNFRefutation
% See solution above
% 0.21/0.54  # Parsed axioms                        : 203
% 0.21/0.54  # Removed by relevancy pruning/SinE    : 164
% 0.21/0.54  # Initial clauses                      : 39
% 0.21/0.54  # Removed in clause preprocessing      : 0
% 0.21/0.54  # Initial clauses in saturation        : 39
% 0.21/0.54  # Processed clauses                    : 72
% 0.21/0.54  # ...of these trivial                  : 8
% 0.21/0.54  # ...subsumed                          : 0
% 0.21/0.54  # ...remaining for further processing  : 64
% 0.21/0.54  # Other redundant clauses eliminated   : 4
% 0.21/0.54  # Clauses deleted for lack of memory   : 0
% 0.21/0.54  # Backward-subsumed                    : 2
% 0.21/0.54  # Backward-rewritten                   : 2
% 0.21/0.54  # Generated clauses                    : 21
% 0.21/0.54  # ...of the previous two non-redundant : 13
% 0.21/0.54  # ...aggressively subsumed             : 0
% 0.21/0.54  # Contextual simplify-reflections      : 0
% 0.21/0.54  # Paramodulations                      : 18
% 0.21/0.54  # Factorizations                       : 0
% 0.21/0.54  # NegExts                              : 0
% 0.21/0.54  # Equation resolutions                 : 4
% 0.21/0.54  # Total rewrite steps                  : 53
% 0.21/0.54  # Propositional unsat checks           : 0
% 0.21/0.54  #    Propositional check models        : 0
% 0.21/0.54  #    Propositional check unsatisfiable : 0
% 0.21/0.54  #    Propositional clauses             : 0
% 0.21/0.54  #    Propositional clauses after purity: 0
% 0.21/0.54  #    Propositional unsat core size     : 0
% 0.21/0.54  #    Propositional preprocessing time  : 0.000
% 0.21/0.54  #    Propositional encoding time       : 0.000
% 0.21/0.54  #    Propositional solver time         : 0.000
% 0.21/0.54  #    Success case prop preproc time    : 0.000
% 0.21/0.54  #    Success case prop encoding time   : 0.000
% 0.21/0.54  #    Success case prop solver time     : 0.000
% 0.21/0.54  # Current number of processed clauses  : 26
% 0.21/0.54  #    Positive orientable unit clauses  : 11
% 0.21/0.54  #    Positive unorientable unit clauses: 0
% 0.21/0.54  #    Negative unit clauses             : 0
% 0.21/0.54  #    Non-unit-clauses                  : 15
% 0.21/0.54  # Current number of unprocessed clauses: 11
% 0.21/0.54  # ...number of literals in the above   : 43
% 0.21/0.54  # Current number of archived formulas  : 0
% 0.21/0.54  # Current number of archived clauses   : 35
% 0.21/0.54  # Clause-clause subsumption calls (NU) : 88
% 0.21/0.54  # Rec. Clause-clause subsumption calls : 31
% 0.21/0.54  # Non-unit clause-clause subsumptions  : 2
% 0.21/0.54  # Unit Clause-clause subsumption calls : 0
% 0.21/0.54  # Rewrite failures with RHS unbound    : 0
% 0.21/0.54  # BW rewrite match attempts            : 1
% 0.21/0.54  # BW rewrite match successes           : 1
% 0.21/0.54  # Condensation attempts                : 0
% 0.21/0.54  # Condensation successes               : 0
% 0.21/0.54  # Termbank termtop insertions          : 2991
% 0.21/0.54  
% 0.21/0.54  # -------------------------------------------------
% 0.21/0.54  # User time                : 0.006 s
% 0.21/0.54  # System time              : 0.004 s
% 0.21/0.54  # Total time               : 0.010 s
% 0.21/0.54  # Maximum resident set size: 1948 pages
% 0.21/0.54  
% 0.21/0.54  # -------------------------------------------------
% 0.21/0.54  # User time                : 0.010 s
% 0.21/0.54  # System time              : 0.006 s
% 0.21/0.54  # Total time               : 0.016 s
% 0.21/0.54  # Maximum resident set size: 1848 pages
% 0.21/0.54  % E---3.1 exiting
%------------------------------------------------------------------------------