TSTP Solution File: SWC323-1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SWC323-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n010.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 19:42:34 EDT 2023

% Result   : Unsatisfiable 0.19s 0.53s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   13
% Syntax   : Number of clauses     :   36 (  15 unt;   3 nHn;  36 RR)
%            Number of literals    :   75 (  29 equ;  42 neg)
%            Maximal clause size   :    5 (   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   :   18 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(co1_2,negated_conjecture,
    ssList(sk2),
    file('/export/starexec/sandbox2/tmp/tmp.qNPsrSI5pv/E---3.1_13254.p',co1_2) ).

cnf(co1_5,negated_conjecture,
    sk2 = sk4,
    file('/export/starexec/sandbox2/tmp/tmp.qNPsrSI5pv/E---3.1_13254.p',co1_5) ).

cnf(co1_7,negated_conjecture,
    ( ~ ssList(X1)
    | ~ ssList(X2)
    | app(X1,X2) != sk2
    | app(X2,X1) != sk1 ),
    file('/export/starexec/sandbox2/tmp/tmp.qNPsrSI5pv/E---3.1_13254.p',co1_7) ).

cnf(co1_6,negated_conjecture,
    sk1 = sk3,
    file('/export/starexec/sandbox2/tmp/tmp.qNPsrSI5pv/E---3.1_13254.p',co1_6) ).

cnf(clause145,axiom,
    ( app(X1,X2) = nil
    | nil != X1
    | nil != X2
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.qNPsrSI5pv/E---3.1_13254.p',clause145) ).

cnf(clause8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox2/tmp/tmp.qNPsrSI5pv/E---3.1_13254.p',clause8) ).

cnf(co1_10,negated_conjecture,
    ( ssList(sk6)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox2/tmp/tmp.qNPsrSI5pv/E---3.1_13254.p',co1_10) ).

cnf(clause100,axiom,
    ( neq(X2,X1)
    | X2 = X1
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.qNPsrSI5pv/E---3.1_13254.p',clause100) ).

cnf(co1_8,negated_conjecture,
    ( nil = sk3
    | nil != sk4 ),
    file('/export/starexec/sandbox2/tmp/tmp.qNPsrSI5pv/E---3.1_13254.p',co1_8) ).

cnf(co1_12,negated_conjecture,
    ( app(sk6,cons(sk5,nil)) = sk3
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox2/tmp/tmp.qNPsrSI5pv/E---3.1_13254.p',co1_12) ).

cnf(co1_11,negated_conjecture,
    ( app(cons(sk5,nil),sk6) = sk4
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox2/tmp/tmp.qNPsrSI5pv/E---3.1_13254.p',co1_11) ).

cnf(co1_9,negated_conjecture,
    ( ssItem(sk5)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox2/tmp/tmp.qNPsrSI5pv/E---3.1_13254.p',co1_9) ).

cnf(clause86,axiom,
    ( ssList(cons(X1,X2))
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.qNPsrSI5pv/E---3.1_13254.p',clause86) ).

cnf(c_0_13,negated_conjecture,
    ssList(sk2),
    co1_2 ).

cnf(c_0_14,negated_conjecture,
    sk2 = sk4,
    co1_5 ).

cnf(c_0_15,negated_conjecture,
    ( ~ ssList(X1)
    | ~ ssList(X2)
    | app(X1,X2) != sk2
    | app(X2,X1) != sk1 ),
    co1_7 ).

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

cnf(c_0_17,axiom,
    ( app(X1,X2) = nil
    | nil != X1
    | nil != X2
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    clause145 ).

cnf(c_0_18,axiom,
    ssList(nil),
    clause8 ).

cnf(c_0_19,negated_conjecture,
    ( ssList(sk6)
    | ~ neq(sk4,nil) ),
    co1_10 ).

cnf(c_0_20,axiom,
    ( neq(X2,X1)
    | X2 = X1
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    clause100 ).

cnf(c_0_21,negated_conjecture,
    ssList(sk4),
    inference(rw,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_22,negated_conjecture,
    ( app(X1,X2) != sk3
    | app(X2,X1) != sk4
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_16]),c_0_14]) ).

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_17])]),c_0_18])]) ).

cnf(c_0_24,negated_conjecture,
    ( nil = sk3
    | nil != sk4 ),
    co1_8 ).

cnf(c_0_25,negated_conjecture,
    ( sk4 = nil
    | ssList(sk6) ),
    inference(cn,[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_18])]) ).

cnf(c_0_26,negated_conjecture,
    sk4 != nil,
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_23]),c_0_18])]),c_0_24]) ).

cnf(c_0_27,negated_conjecture,
    ( app(sk6,cons(sk5,nil)) = sk3
    | ~ neq(sk4,nil) ),
    co1_12 ).

cnf(c_0_28,negated_conjecture,
    ssList(sk6),
    inference(sr,[status(thm)],[c_0_25,c_0_26]) ).

cnf(c_0_29,negated_conjecture,
    ( app(cons(sk5,nil),sk6) = sk4
    | ~ neq(sk4,nil) ),
    co1_11 ).

cnf(c_0_30,negated_conjecture,
    ( ~ neq(sk4,nil)
    | ~ ssList(cons(sk5,nil)) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_27]),c_0_28])]),c_0_29]) ).

cnf(c_0_31,negated_conjecture,
    ( ssItem(sk5)
    | ~ neq(sk4,nil) ),
    co1_9 ).

cnf(c_0_32,negated_conjecture,
    ~ ssList(cons(sk5,nil)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_20]),c_0_21]),c_0_18])]),c_0_26]) ).

cnf(c_0_33,axiom,
    ( ssList(cons(X1,X2))
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    clause86 ).

cnf(c_0_34,negated_conjecture,
    ssItem(sk5),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_20]),c_0_21]),c_0_18])]),c_0_26]) ).

cnf(c_0_35,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34]),c_0_18])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SWC323-1 : TPTP v8.1.2. Released v2.4.0.
% 0.03/0.14  % Command    : run_E %s %d THM
% 0.14/0.35  % Computer : n010.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 2400
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Oct  3 01:46:50 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.19/0.51  Running first-order model finding
% 0.19/0.51  Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.qNPsrSI5pv/E---3.1_13254.p
% 0.19/0.53  # Version: 3.1pre001
% 0.19/0.53  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.19/0.53  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.53  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.19/0.53  # Starting new_bool_3 with 300s (1) cores
% 0.19/0.53  # Starting new_bool_1 with 300s (1) cores
% 0.19/0.53  # Starting sh5l with 300s (1) cores
% 0.19/0.53  # new_bool_3 with pid 13371 completed with status 0
% 0.19/0.53  # Result found by new_bool_3
% 0.19/0.53  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.19/0.53  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.53  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.19/0.53  # Starting new_bool_3 with 300s (1) cores
% 0.19/0.53  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.19/0.53  # Search class: FGHSF-FFMM22-SFFFFFNN
% 0.19/0.53  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.53  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.19/0.53  # SAT001_MinMin_p005000_rr_RG with pid 13374 completed with status 0
% 0.19/0.53  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.19/0.53  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.19/0.53  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.53  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.19/0.53  # Starting new_bool_3 with 300s (1) cores
% 0.19/0.53  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.19/0.53  # Search class: FGHSF-FFMM22-SFFFFFNN
% 0.19/0.53  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.53  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.19/0.53  # Preprocessing time       : 0.003 s
% 0.19/0.53  # Presaturation interreduction done
% 0.19/0.53  
% 0.19/0.53  # Proof found!
% 0.19/0.53  # SZS status Unsatisfiable
% 0.19/0.53  # SZS output start CNFRefutation
% See solution above
% 0.19/0.53  # Parsed axioms                        : 197
% 0.19/0.53  # Removed by relevancy pruning/SinE    : 164
% 0.19/0.53  # Initial clauses                      : 33
% 0.19/0.53  # Removed in clause preprocessing      : 0
% 0.19/0.53  # Initial clauses in saturation        : 33
% 0.19/0.53  # Processed clauses                    : 78
% 0.19/0.53  # ...of these trivial                  : 2
% 0.19/0.53  # ...subsumed                          : 1
% 0.19/0.53  # ...remaining for further processing  : 75
% 0.19/0.53  # Other redundant clauses eliminated   : 10
% 0.19/0.53  # Clauses deleted for lack of memory   : 0
% 0.19/0.53  # Backward-subsumed                    : 7
% 0.19/0.53  # Backward-rewritten                   : 2
% 0.19/0.53  # Generated clauses                    : 66
% 0.19/0.53  # ...of the previous two non-redundant : 46
% 0.19/0.53  # ...aggressively subsumed             : 0
% 0.19/0.53  # Contextual simplify-reflections      : 6
% 0.19/0.53  # Paramodulations                      : 54
% 0.19/0.53  # Factorizations                       : 0
% 0.19/0.53  # NegExts                              : 0
% 0.19/0.53  # Equation resolutions                 : 12
% 0.19/0.53  # Total rewrite steps                  : 66
% 0.19/0.53  # Propositional unsat checks           : 0
% 0.19/0.53  #    Propositional check models        : 0
% 0.19/0.53  #    Propositional check unsatisfiable : 0
% 0.19/0.53  #    Propositional clauses             : 0
% 0.19/0.53  #    Propositional clauses after purity: 0
% 0.19/0.53  #    Propositional unsat core size     : 0
% 0.19/0.53  #    Propositional preprocessing time  : 0.000
% 0.19/0.53  #    Propositional encoding time       : 0.000
% 0.19/0.53  #    Propositional solver time         : 0.000
% 0.19/0.53  #    Success case prop preproc time    : 0.000
% 0.19/0.53  #    Success case prop encoding time   : 0.000
% 0.19/0.53  #    Success case prop solver time     : 0.000
% 0.19/0.53  # Current number of processed clauses  : 31
% 0.19/0.53  #    Positive orientable unit clauses  : 8
% 0.19/0.53  #    Positive unorientable unit clauses: 0
% 0.19/0.53  #    Negative unit clauses             : 5
% 0.19/0.53  #    Non-unit-clauses                  : 18
% 0.19/0.53  # Current number of unprocessed clauses: 31
% 0.19/0.53  # ...number of literals in the above   : 126
% 0.19/0.53  # Current number of archived formulas  : 0
% 0.19/0.53  # Current number of archived clauses   : 41
% 0.19/0.53  # Clause-clause subsumption calls (NU) : 179
% 0.19/0.53  # Rec. Clause-clause subsumption calls : 71
% 0.19/0.53  # Non-unit clause-clause subsumptions  : 9
% 0.19/0.53  # Unit Clause-clause subsumption calls : 23
% 0.19/0.53  # Rewrite failures with RHS unbound    : 0
% 0.19/0.53  # BW rewrite match attempts            : 2
% 0.19/0.53  # BW rewrite match successes           : 2
% 0.19/0.53  # Condensation attempts                : 0
% 0.19/0.53  # Condensation successes               : 0
% 0.19/0.53  # Termbank termtop insertions          : 3297
% 0.19/0.53  
% 0.19/0.53  # -------------------------------------------------
% 0.19/0.53  # User time                : 0.008 s
% 0.19/0.53  # System time              : 0.002 s
% 0.19/0.53  # Total time               : 0.010 s
% 0.19/0.53  # Maximum resident set size: 1952 pages
% 0.19/0.53  
% 0.19/0.53  # -------------------------------------------------
% 0.19/0.53  # User time                : 0.010 s
% 0.19/0.53  # System time              : 0.006 s
% 0.19/0.53  # Total time               : 0.016 s
% 0.19/0.53  # Maximum resident set size: 1852 pages
% 0.19/0.53  % E---3.1 exiting
%------------------------------------------------------------------------------