TSTP Solution File: SWC417-1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SWC417-1 : 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 19:43:05 EDT 2023

% Result   : Unsatisfiable 0.19s 0.50s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   13
% Syntax   : Number of clauses     :   38 (  16 unt;   1 nHn;  38 RR)
%            Number of literals    :   74 (  24 equ;  41 neg)
%            Maximal clause size   :    6 (   1 avg)
%            Maximal term depth    :    4 (   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_7,negated_conjecture,
    ( neq(sk2,nil)
    | neq(sk2,nil) ),
    file('/export/starexec/sandbox/tmp/tmp.ncfQwVy3LG/E---3.1_20881.p',co1_7) ).

cnf(co1_15,negated_conjecture,
    ( ssItem(sk5)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox/tmp/tmp.ncfQwVy3LG/E---3.1_20881.p',co1_15) ).

cnf(co1_5,negated_conjecture,
    sk2 = sk4,
    file('/export/starexec/sandbox/tmp/tmp.ncfQwVy3LG/E---3.1_20881.p',co1_5) ).

cnf(co1_16,negated_conjecture,
    ( ssList(sk6)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox/tmp/tmp.ncfQwVy3LG/E---3.1_20881.p',co1_16) ).

cnf(co1_14,negated_conjecture,
    ( ~ ssItem(X1)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | app(app(X2,cons(X1,nil)),X3) != sk2
    | app(app(X3,cons(X1,nil)),X2) != sk1
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox/tmp/tmp.ncfQwVy3LG/E---3.1_20881.p',co1_14) ).

cnf(co1_18,negated_conjecture,
    ( app(sk6,cons(sk5,nil)) = sk3
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox/tmp/tmp.ncfQwVy3LG/E---3.1_20881.p',co1_18) ).

cnf(co1_6,negated_conjecture,
    sk1 = sk3,
    file('/export/starexec/sandbox/tmp/tmp.ncfQwVy3LG/E---3.1_20881.p',co1_6) ).

cnf(co1_17,negated_conjecture,
    ( app(cons(sk5,nil),sk6) = sk4
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox/tmp/tmp.ncfQwVy3LG/E---3.1_20881.p',co1_17) ).

cnf(clause74,axiom,
    ( app(nil,X1) = X1
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.ncfQwVy3LG/E---3.1_20881.p',clause74) ).

cnf(clause8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox/tmp/tmp.ncfQwVy3LG/E---3.1_20881.p',clause8) ).

cnf(clause86,axiom,
    ( ssList(cons(X1,X2))
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.ncfQwVy3LG/E---3.1_20881.p',clause86) ).

cnf(clause73,axiom,
    ( app(X1,nil) = X1
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.ncfQwVy3LG/E---3.1_20881.p',clause73) ).

cnf(co1_1,negated_conjecture,
    ssList(sk1),
    file('/export/starexec/sandbox/tmp/tmp.ncfQwVy3LG/E---3.1_20881.p',co1_1) ).

cnf(c_0_13,negated_conjecture,
    neq(sk2,nil),
    inference(fof_simplification,[status(thm)],[co1_7]) ).

cnf(c_0_14,negated_conjecture,
    ( ssItem(sk5)
    | ~ neq(sk4,nil) ),
    co1_15 ).

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

cnf(c_0_16,negated_conjecture,
    ( ssList(sk6)
    | ~ neq(sk4,nil) ),
    co1_16 ).

cnf(c_0_17,negated_conjecture,
    ( ~ ssItem(X1)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | app(app(X2,cons(X1,nil)),X3) != sk2
    | app(app(X3,cons(X1,nil)),X2) != sk1
    | ~ neq(sk4,nil) ),
    co1_14 ).

cnf(c_0_18,negated_conjecture,
    neq(sk2,nil),
    c_0_13 ).

cnf(c_0_19,negated_conjecture,
    ( app(sk6,cons(sk5,nil)) = sk3
    | ~ neq(sk4,nil) ),
    co1_18 ).

cnf(c_0_20,negated_conjecture,
    sk1 = sk3,
    co1_6 ).

cnf(c_0_21,negated_conjecture,
    ( ssItem(sk5)
    | ~ neq(sk2,nil) ),
    inference(rw,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_22,negated_conjecture,
    ( ssList(sk6)
    | ~ neq(sk2,nil) ),
    inference(rw,[status(thm)],[c_0_16,c_0_15]) ).

cnf(c_0_23,negated_conjecture,
    ( app(app(X1,cons(X2,nil)),X3) != sk1
    | app(app(X3,cons(X2,nil)),X1) != sk2
    | ~ ssItem(X2)
    | ~ ssList(X1)
    | ~ ssList(X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_15]),c_0_18])]) ).

cnf(c_0_24,negated_conjecture,
    app(sk6,cons(sk5,nil)) = sk1,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_20]),c_0_15]),c_0_18])]) ).

cnf(c_0_25,negated_conjecture,
    ssItem(sk5),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_18])]) ).

cnf(c_0_26,negated_conjecture,
    ssList(sk6),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_22,c_0_18])]) ).

cnf(c_0_27,negated_conjecture,
    ( app(cons(sk5,nil),sk6) = sk4
    | ~ neq(sk4,nil) ),
    co1_17 ).

cnf(c_0_28,negated_conjecture,
    ( app(app(X1,cons(sk5,nil)),sk6) != sk2
    | app(sk1,X1) != sk1
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]),c_0_26])]) ).

cnf(c_0_29,axiom,
    ( app(nil,X1) = X1
    | ~ ssList(X1) ),
    clause74 ).

cnf(c_0_30,negated_conjecture,
    app(cons(sk5,nil),sk6) = sk2,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_27,c_0_15]),c_0_15]),c_0_18])]) ).

cnf(c_0_31,axiom,
    ssList(nil),
    clause8 ).

cnf(c_0_32,negated_conjecture,
    ( app(sk1,nil) != sk1
    | ~ ssList(cons(sk5,nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]),c_0_31])]) ).

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

cnf(c_0_34,negated_conjecture,
    app(sk1,nil) != sk1,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_25]),c_0_31])]) ).

cnf(c_0_35,axiom,
    ( app(X1,nil) = X1
    | ~ ssList(X1) ),
    clause73 ).

cnf(c_0_36,negated_conjecture,
    ssList(sk1),
    co1_1 ).

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
% 0.03/0.12  % Problem    : SWC417-1 : TPTP v8.1.2. Released v2.4.0.
% 0.03/0.13  % Command    : run_E %s %d THM
% 0.13/0.34  % Computer : n003.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 2400
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Oct  3 02:05:18 EDT 2023
% 0.13/0.34  % CPUTime    : 
% 0.19/0.47  Running first-order model finding
% 0.19/0.47  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.ncfQwVy3LG/E---3.1_20881.p
% 0.19/0.50  # Version: 3.1pre001
% 0.19/0.50  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.19/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.50  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.19/0.50  # Starting new_bool_3 with 300s (1) cores
% 0.19/0.50  # Starting new_bool_1 with 300s (1) cores
% 0.19/0.50  # Starting sh5l with 300s (1) cores
% 0.19/0.50  # new_bool_3 with pid 20984 completed with status 0
% 0.19/0.50  # Result found by new_bool_3
% 0.19/0.50  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.19/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.50  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.19/0.50  # Starting new_bool_3 with 300s (1) cores
% 0.19/0.50  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.19/0.50  # Search class: FGHSF-FFMM22-MFFFFFNN
% 0.19/0.50  # partial match(1): FGHSF-FFMM21-MFFFFFNN
% 0.19/0.50  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.50  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 0.19/0.50  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 20988 completed with status 0
% 0.19/0.50  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.19/0.50  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.19/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.50  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.19/0.50  # Starting new_bool_3 with 300s (1) cores
% 0.19/0.50  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.19/0.50  # Search class: FGHSF-FFMM22-MFFFFFNN
% 0.19/0.50  # partial match(1): FGHSF-FFMM21-MFFFFFNN
% 0.19/0.50  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.50  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 0.19/0.50  # Preprocessing time       : 0.003 s
% 0.19/0.50  # Presaturation interreduction done
% 0.19/0.50  
% 0.19/0.50  # Proof found!
% 0.19/0.50  # SZS status Unsatisfiable
% 0.19/0.50  # SZS output start CNFRefutation
% See solution above
% 0.19/0.50  # Parsed axioms                        : 203
% 0.19/0.50  # Removed by relevancy pruning/SinE    : 164
% 0.19/0.50  # Initial clauses                      : 39
% 0.19/0.50  # Removed in clause preprocessing      : 0
% 0.19/0.50  # Initial clauses in saturation        : 39
% 0.19/0.50  # Processed clauses                    : 104
% 0.19/0.50  # ...of these trivial                  : 8
% 0.19/0.50  # ...subsumed                          : 3
% 0.19/0.50  # ...remaining for further processing  : 93
% 0.19/0.50  # Other redundant clauses eliminated   : 8
% 0.19/0.50  # Clauses deleted for lack of memory   : 0
% 0.19/0.50  # Backward-subsumed                    : 11
% 0.19/0.50  # Backward-rewritten                   : 2
% 0.19/0.50  # Generated clauses                    : 150
% 0.19/0.50  # ...of the previous two non-redundant : 128
% 0.19/0.50  # ...aggressively subsumed             : 0
% 0.19/0.50  # Contextual simplify-reflections      : 0
% 0.19/0.50  # Paramodulations                      : 141
% 0.19/0.50  # Factorizations                       : 0
% 0.19/0.50  # NegExts                              : 0
% 0.19/0.50  # Equation resolutions                 : 10
% 0.19/0.50  # Total rewrite steps                  : 165
% 0.19/0.50  # Propositional unsat checks           : 0
% 0.19/0.50  #    Propositional check models        : 0
% 0.19/0.50  #    Propositional check unsatisfiable : 0
% 0.19/0.50  #    Propositional clauses             : 0
% 0.19/0.50  #    Propositional clauses after purity: 0
% 0.19/0.50  #    Propositional unsat core size     : 0
% 0.19/0.50  #    Propositional preprocessing time  : 0.000
% 0.19/0.50  #    Propositional encoding time       : 0.000
% 0.19/0.50  #    Propositional solver time         : 0.000
% 0.19/0.50  #    Success case prop preproc time    : 0.000
% 0.19/0.50  #    Success case prop encoding time   : 0.000
% 0.19/0.50  #    Success case prop solver time     : 0.000
% 0.19/0.50  # Current number of processed clauses  : 46
% 0.19/0.50  #    Positive orientable unit clauses  : 14
% 0.19/0.50  #    Positive unorientable unit clauses: 0
% 0.19/0.50  #    Negative unit clauses             : 5
% 0.19/0.50  #    Non-unit-clauses                  : 27
% 0.19/0.50  # Current number of unprocessed clauses: 73
% 0.19/0.50  # ...number of literals in the above   : 322
% 0.19/0.50  # Current number of archived formulas  : 0
% 0.19/0.50  # Current number of archived clauses   : 44
% 0.19/0.50  # Clause-clause subsumption calls (NU) : 178
% 0.19/0.50  # Rec. Clause-clause subsumption calls : 71
% 0.19/0.50  # Non-unit clause-clause subsumptions  : 6
% 0.19/0.50  # Unit Clause-clause subsumption calls : 43
% 0.19/0.50  # Rewrite failures with RHS unbound    : 0
% 0.19/0.50  # BW rewrite match attempts            : 1
% 0.19/0.50  # BW rewrite match successes           : 1
% 0.19/0.50  # Condensation attempts                : 0
% 0.19/0.50  # Condensation successes               : 0
% 0.19/0.50  # Termbank termtop insertions          : 4736
% 0.19/0.50  
% 0.19/0.50  # -------------------------------------------------
% 0.19/0.50  # User time                : 0.009 s
% 0.19/0.50  # System time              : 0.003 s
% 0.19/0.50  # Total time               : 0.012 s
% 0.19/0.50  # Maximum resident set size: 2016 pages
% 0.19/0.50  
% 0.19/0.50  # -------------------------------------------------
% 0.19/0.50  # User time                : 0.013 s
% 0.19/0.50  # System time              : 0.006 s
% 0.19/0.50  # Total time               : 0.019 s
% 0.19/0.50  # Maximum resident set size: 1856 pages
% 0.19/0.50  % E---3.1 exiting
%------------------------------------------------------------------------------