TSTP Solution File: SWC032-1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SWC032-1 : 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 19:41:08 EDT 2023

% Result   : Unsatisfiable 0.16s 0.45s
% Output   : CNFRefutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   28 (  17 unt;   2 nHn;  28 RR)
%            Number of literals    :   43 (  31 equ;  17 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :    6 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(co1_15,negated_conjecture,
    ( nil != sk1
    | nil != sk2 ),
    file('/export/starexec/sandbox/tmp/tmp.vupEr0791l/E---3.1_4729.p',co1_15) ).

cnf(co1_6,negated_conjecture,
    sk1 = sk3,
    file('/export/starexec/sandbox/tmp/tmp.vupEr0791l/E---3.1_4729.p',co1_6) ).

cnf(co1_5,negated_conjecture,
    sk2 = sk4,
    file('/export/starexec/sandbox/tmp/tmp.vupEr0791l/E---3.1_4729.p',co1_5) ).

cnf(co1_11,negated_conjecture,
    ( nil = sk4
    | nil != sk3 ),
    file('/export/starexec/sandbox/tmp/tmp.vupEr0791l/E---3.1_4729.p',co1_11) ).

cnf(co1_12,negated_conjecture,
    ( nil = sk2
    | nil = sk1 ),
    file('/export/starexec/sandbox/tmp/tmp.vupEr0791l/E---3.1_4729.p',co1_12) ).

cnf(co1_8,negated_conjecture,
    app(sk3,sk5) = sk4,
    file('/export/starexec/sandbox/tmp/tmp.vupEr0791l/E---3.1_4729.p',co1_8) ).

cnf(co1_1,negated_conjecture,
    ssList(sk1),
    file('/export/starexec/sandbox/tmp/tmp.vupEr0791l/E---3.1_4729.p',co1_1) ).

cnf(clause119,axiom,
    ( nil = X2
    | app(X1,X2) != nil
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.vupEr0791l/E---3.1_4729.p',clause119) ).

cnf(co1_7,negated_conjecture,
    ssList(sk5),
    file('/export/starexec/sandbox/tmp/tmp.vupEr0791l/E---3.1_4729.p',co1_7) ).

cnf(clause73,axiom,
    ( app(X1,nil) = X1
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.vupEr0791l/E---3.1_4729.p',clause73) ).

cnf(c_0_10,negated_conjecture,
    ( nil != sk1
    | nil != sk2 ),
    co1_15 ).

cnf(c_0_11,negated_conjecture,
    sk1 = sk3,
    co1_6 ).

cnf(c_0_12,negated_conjecture,
    sk2 = sk4,
    co1_5 ).

cnf(c_0_13,negated_conjecture,
    ( nil = sk4
    | nil != sk3 ),
    co1_11 ).

cnf(c_0_14,negated_conjecture,
    ( sk3 != nil
    | sk4 != nil ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_10,c_0_11]),c_0_12]) ).

cnf(c_0_15,negated_conjecture,
    ( nil = sk2
    | nil = sk1 ),
    co1_12 ).

cnf(c_0_16,negated_conjecture,
    sk3 != nil,
    inference(csr,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_17,negated_conjecture,
    app(sk3,sk5) = sk4,
    co1_8 ).

cnf(c_0_18,negated_conjecture,
    sk4 = nil,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_11]),c_0_12]),c_0_16]) ).

cnf(c_0_19,negated_conjecture,
    ssList(sk1),
    co1_1 ).

cnf(c_0_20,axiom,
    ( nil = X2
    | app(X1,X2) != nil
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    clause119 ).

cnf(c_0_21,negated_conjecture,
    app(sk3,sk5) = nil,
    inference(rw,[status(thm)],[c_0_17,c_0_18]) ).

cnf(c_0_22,negated_conjecture,
    ssList(sk5),
    co1_7 ).

cnf(c_0_23,negated_conjecture,
    ssList(sk3),
    inference(rw,[status(thm)],[c_0_19,c_0_11]) ).

cnf(c_0_24,negated_conjecture,
    sk5 = nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22]),c_0_23])]) ).

cnf(c_0_25,axiom,
    ( app(X1,nil) = X1
    | ~ ssList(X1) ),
    clause73 ).

cnf(c_0_26,negated_conjecture,
    app(sk3,nil) = nil,
    inference(rw,[status(thm)],[c_0_21,c_0_24]) ).

cnf(c_0_27,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_23])]),c_0_16]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10  % Problem    : SWC032-1 : TPTP v8.1.2. Released v2.4.0.
% 0.02/0.11  % Command    : run_E %s %d THM
% 0.10/0.31  % Computer : n003.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 2400
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Tue Oct  3 02:10:03 EDT 2023
% 0.10/0.31  % CPUTime    : 
% 0.16/0.43  Running first-order model finding
% 0.16/0.43  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.vupEr0791l/E---3.1_4729.p
% 0.16/0.45  # Version: 3.1pre001
% 0.16/0.45  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.16/0.45  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.45  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.16/0.45  # Starting new_bool_3 with 300s (1) cores
% 0.16/0.45  # Starting new_bool_1 with 300s (1) cores
% 0.16/0.45  # Starting sh5l with 300s (1) cores
% 0.16/0.45  # new_bool_3 with pid 4807 completed with status 0
% 0.16/0.45  # Result found by new_bool_3
% 0.16/0.45  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.16/0.45  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.45  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.16/0.45  # Starting new_bool_3 with 300s (1) cores
% 0.16/0.45  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/0.45  # Search class: FGHSF-FFMM21-MFFFFFNN
% 0.16/0.45  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.45  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 0.16/0.45  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 4810 completed with status 0
% 0.16/0.45  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.16/0.45  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.16/0.45  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.45  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.16/0.45  # Starting new_bool_3 with 300s (1) cores
% 0.16/0.45  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/0.45  # Search class: FGHSF-FFMM21-MFFFFFNN
% 0.16/0.45  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.45  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 0.16/0.45  # Preprocessing time       : 0.003 s
% 0.16/0.45  # Presaturation interreduction done
% 0.16/0.45  
% 0.16/0.45  # Proof found!
% 0.16/0.45  # SZS status Unsatisfiable
% 0.16/0.45  # SZS output start CNFRefutation
% See solution above
% 0.16/0.45  # Parsed axioms                        : 200
% 0.16/0.45  # Removed by relevancy pruning/SinE    : 139
% 0.16/0.45  # Initial clauses                      : 61
% 0.16/0.45  # Removed in clause preprocessing      : 2
% 0.16/0.45  # Initial clauses in saturation        : 59
% 0.16/0.45  # Processed clauses                    : 91
% 0.16/0.45  # ...of these trivial                  : 3
% 0.16/0.45  # ...subsumed                          : 5
% 0.16/0.45  # ...remaining for further processing  : 83
% 0.16/0.45  # Other redundant clauses eliminated   : 7
% 0.16/0.45  # Clauses deleted for lack of memory   : 0
% 0.16/0.45  # Backward-subsumed                    : 1
% 0.16/0.45  # Backward-rewritten                   : 3
% 0.16/0.45  # Generated clauses                    : 11
% 0.16/0.45  # ...of the previous two non-redundant : 11
% 0.16/0.45  # ...aggressively subsumed             : 0
% 0.16/0.45  # Contextual simplify-reflections      : 1
% 0.16/0.45  # Paramodulations                      : 5
% 0.16/0.45  # Factorizations                       : 0
% 0.16/0.45  # NegExts                              : 0
% 0.16/0.45  # Equation resolutions                 : 7
% 0.16/0.45  # Total rewrite steps                  : 23
% 0.16/0.45  # Propositional unsat checks           : 0
% 0.16/0.45  #    Propositional check models        : 0
% 0.16/0.45  #    Propositional check unsatisfiable : 0
% 0.16/0.45  #    Propositional clauses             : 0
% 0.16/0.45  #    Propositional clauses after purity: 0
% 0.16/0.45  #    Propositional unsat core size     : 0
% 0.16/0.45  #    Propositional preprocessing time  : 0.000
% 0.16/0.45  #    Propositional encoding time       : 0.000
% 0.16/0.45  #    Propositional solver time         : 0.000
% 0.16/0.45  #    Success case prop preproc time    : 0.000
% 0.16/0.45  #    Success case prop encoding time   : 0.000
% 0.16/0.45  #    Success case prop solver time     : 0.000
% 0.16/0.45  # Current number of processed clauses  : 23
% 0.16/0.45  #    Positive orientable unit clauses  : 11
% 0.16/0.45  #    Positive unorientable unit clauses: 0
% 0.16/0.45  #    Negative unit clauses             : 1
% 0.16/0.45  #    Non-unit-clauses                  : 11
% 0.16/0.45  # Current number of unprocessed clauses: 29
% 0.16/0.45  # ...number of literals in the above   : 140
% 0.16/0.45  # Current number of archived formulas  : 0
% 0.16/0.45  # Current number of archived clauses   : 54
% 0.16/0.45  # Clause-clause subsumption calls (NU) : 562
% 0.16/0.45  # Rec. Clause-clause subsumption calls : 57
% 0.16/0.45  # Non-unit clause-clause subsumptions  : 6
% 0.16/0.45  # Unit Clause-clause subsumption calls : 2
% 0.16/0.45  # Rewrite failures with RHS unbound    : 0
% 0.16/0.45  # BW rewrite match attempts            : 2
% 0.16/0.45  # BW rewrite match successes           : 2
% 0.16/0.45  # Condensation attempts                : 0
% 0.16/0.45  # Condensation successes               : 0
% 0.16/0.45  # Termbank termtop insertions          : 3334
% 0.16/0.45  
% 0.16/0.45  # -------------------------------------------------
% 0.16/0.45  # User time                : 0.006 s
% 0.16/0.45  # System time              : 0.003 s
% 0.16/0.45  # Total time               : 0.009 s
% 0.16/0.45  # Maximum resident set size: 1964 pages
% 0.16/0.45  
% 0.16/0.45  # -------------------------------------------------
% 0.16/0.45  # User time                : 0.011 s
% 0.16/0.45  # System time              : 0.003 s
% 0.16/0.45  # Total time               : 0.014 s
% 0.16/0.45  # Maximum resident set size: 1852 pages
% 0.16/0.45  % E---3.1 exiting
%------------------------------------------------------------------------------