TSTP Solution File: SWC227-1 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : SWC227-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n022.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 19:39:58 EDT 2023

% Result   : Unsatisfiable 0.40s 0.63s
% Output   : CNFRefutation 0.40s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   31 (  11 unt;   2 nHn;  27 RR)
%            Number of literals    :   78 (  21 equ;  54 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   2 con; 0-3 aty)
%            Number of variables   :   41 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause71,axiom,
    ( ~ memberP(nil,X1)
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.zUtYlzG6VG/E---3.1_10854.p',clause71) ).

cnf(co1_9,negated_conjecture,
    ( memberP(X2,sk5(X3,X2,X1))
    | ~ ssItem(X1)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | app(app(X2,cons(X1,nil)),X3) != sk1 ),
    file('/export/starexec/sandbox/tmp/tmp.zUtYlzG6VG/E---3.1_10854.p',co1_9) ).

cnf(clause8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox/tmp/tmp.zUtYlzG6VG/E---3.1_10854.p',clause8) ).

cnf(co1_8,negated_conjecture,
    ( ssItem(sk5(X3,X2,X1))
    | ~ ssItem(X1)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | app(app(X2,cons(X1,nil)),X3) != sk1 ),
    file('/export/starexec/sandbox/tmp/tmp.zUtYlzG6VG/E---3.1_10854.p',co1_8) ).

cnf(clause74,axiom,
    ( app(nil,X1) = X1
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.zUtYlzG6VG/E---3.1_10854.p',clause74) ).

cnf(clause120,axiom,
    ( app(cons(X1,nil),X2) = cons(X1,X2)
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.zUtYlzG6VG/E---3.1_10854.p',clause120) ).

cnf(clause86,axiom,
    ( ssList(cons(X1,X2))
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.zUtYlzG6VG/E---3.1_10854.p',clause86) ).

cnf(clause109,axiom,
    ( cons(skaf83(X1),skaf82(X1)) = X1
    | nil = X1
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.zUtYlzG6VG/E---3.1_10854.p',clause109) ).

cnf(clause12,axiom,
    ssItem(skaf83(X1)),
    file('/export/starexec/sandbox/tmp/tmp.zUtYlzG6VG/E---3.1_10854.p',clause12) ).

cnf(clause13,axiom,
    ssList(skaf82(X1)),
    file('/export/starexec/sandbox/tmp/tmp.zUtYlzG6VG/E---3.1_10854.p',clause13) ).

cnf(co1_1,negated_conjecture,
    ssList(sk1),
    file('/export/starexec/sandbox/tmp/tmp.zUtYlzG6VG/E---3.1_10854.p',co1_1) ).

cnf(co1_7,negated_conjecture,
    nil != sk1,
    file('/export/starexec/sandbox/tmp/tmp.zUtYlzG6VG/E---3.1_10854.p',co1_7) ).

cnf(c_0_12,axiom,
    ( ~ memberP(nil,X1)
    | ~ ssItem(X1) ),
    clause71 ).

cnf(c_0_13,negated_conjecture,
    ( memberP(X2,sk5(X3,X2,X1))
    | ~ ssItem(X1)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | app(app(X2,cons(X1,nil)),X3) != sk1 ),
    co1_9 ).

cnf(c_0_14,axiom,
    ssList(nil),
    clause8 ).

cnf(c_0_15,negated_conjecture,
    ( app(app(nil,cons(X1,nil)),X2) != sk1
    | ~ ssItem(sk5(X2,nil,X1))
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14])]) ).

cnf(c_0_16,negated_conjecture,
    ( ssItem(sk5(X3,X2,X1))
    | ~ ssItem(X1)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | app(app(X2,cons(X1,nil)),X3) != sk1 ),
    co1_8 ).

cnf(c_0_17,negated_conjecture,
    ( app(app(nil,cons(X1,nil)),X2) != sk1
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_14])]) ).

cnf(c_0_18,axiom,
    ( app(nil,X1) = X1
    | ~ ssList(X1) ),
    clause74 ).

cnf(c_0_19,negated_conjecture,
    ( app(cons(X1,nil),X2) != sk1
    | ~ ssItem(X1)
    | ~ ssList(cons(X1,nil))
    | ~ ssList(X2) ),
    inference(spm,[status(thm)],[c_0_17,c_0_18]) ).

cnf(c_0_20,axiom,
    ( app(cons(X1,nil),X2) = cons(X1,X2)
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    clause120 ).

cnf(c_0_21,negated_conjecture,
    ( cons(X1,X2) != sk1
    | ~ ssItem(X1)
    | ~ ssList(cons(X1,nil))
    | ~ ssList(X2) ),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_22,axiom,
    ( ssList(cons(X1,X2))
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    clause86 ).

cnf(c_0_23,negated_conjecture,
    ( cons(X1,X2) != sk1
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_14])]) ).

cnf(c_0_24,axiom,
    ( cons(skaf83(X1),skaf82(X1)) = X1
    | nil = X1
    | ~ ssList(X1) ),
    clause109 ).

cnf(c_0_25,axiom,
    ssItem(skaf83(X1)),
    clause12 ).

cnf(c_0_26,axiom,
    ssList(skaf82(X1)),
    clause13 ).

cnf(c_0_27,negated_conjecture,
    ( nil = X1
    | 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_28,negated_conjecture,
    ssList(sk1),
    co1_1 ).

cnf(c_0_29,negated_conjecture,
    nil != sk1,
    co1_7 ).

cnf(c_0_30,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.15  % Problem    : SWC227-1 : TPTP v8.1.2. Released v2.4.0.
% 0.13/0.16  % Command    : run_E %s %d THM
% 0.15/0.38  % Computer : n022.cluster.edu
% 0.15/0.38  % Model    : x86_64 x86_64
% 0.15/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.38  % Memory   : 8042.1875MB
% 0.15/0.38  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.38  % CPULimit   : 2400
% 0.15/0.38  % WCLimit    : 300
% 0.15/0.38  % DateTime   : Tue Oct  3 02:03:09 EDT 2023
% 0.15/0.38  % CPUTime    : 
% 0.23/0.54  Running first-order theorem proving
% 0.23/0.54  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.zUtYlzG6VG/E---3.1_10854.p
% 0.40/0.63  # Version: 3.1pre001
% 0.40/0.63  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.40/0.63  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.40/0.63  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.40/0.63  # Starting new_bool_3 with 300s (1) cores
% 0.40/0.63  # Starting new_bool_1 with 300s (1) cores
% 0.40/0.63  # Starting sh5l with 300s (1) cores
% 0.40/0.63  # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 10932 completed with status 0
% 0.40/0.63  # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.40/0.63  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.40/0.63  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.40/0.63  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.40/0.63  # No SInE strategy applied
% 0.40/0.63  # Search class: FGHSM-FSLM31-MFFFFFNN
% 0.40/0.63  # Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.40/0.63  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 675s (1) cores
% 0.40/0.63  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.40/0.63  # Starting G-E--_207_B07_F1_AE_CS_SP_PI_PS_S0Y with 136s (1) cores
% 0.40/0.63  # Starting U----_116Y_C05_02_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.40/0.63  # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 136s (1) cores
% 0.40/0.63  # G-E--_207_B07_F1_AE_CS_SP_PI_PS_S0Y with pid 10940 completed with status 0
% 0.40/0.63  # Result found by G-E--_207_B07_F1_AE_CS_SP_PI_PS_S0Y
% 0.40/0.63  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.40/0.63  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.40/0.63  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.40/0.63  # No SInE strategy applied
% 0.40/0.63  # Search class: FGHSM-FSLM31-MFFFFFNN
% 0.40/0.63  # Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.40/0.63  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 675s (1) cores
% 0.40/0.63  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.40/0.63  # Starting G-E--_207_B07_F1_AE_CS_SP_PI_PS_S0Y with 136s (1) cores
% 0.40/0.63  # Preprocessing time       : 0.003 s
% 0.40/0.63  # Presaturation interreduction done
% 0.40/0.63  
% 0.40/0.63  # Proof found!
% 0.40/0.63  # SZS status Unsatisfiable
% 0.40/0.63  # SZS output start CNFRefutation
% See solution above
% 0.40/0.63  # Parsed axioms                        : 204
% 0.40/0.63  # Removed by relevancy pruning/SinE    : 0
% 0.40/0.63  # Initial clauses                      : 204
% 0.40/0.63  # Removed in clause preprocessing      : 0
% 0.40/0.63  # Initial clauses in saturation        : 204
% 0.40/0.63  # Processed clauses                    : 760
% 0.40/0.63  # ...of these trivial                  : 4
% 0.40/0.63  # ...subsumed                          : 161
% 0.40/0.63  # ...remaining for further processing  : 595
% 0.40/0.63  # Other redundant clauses eliminated   : 82
% 0.40/0.63  # Clauses deleted for lack of memory   : 0
% 0.40/0.63  # Backward-subsumed                    : 27
% 0.40/0.63  # Backward-rewritten                   : 0
% 0.40/0.63  # Generated clauses                    : 1819
% 0.40/0.63  # ...of the previous two non-redundant : 1591
% 0.40/0.63  # ...aggressively subsumed             : 0
% 0.40/0.63  # Contextual simplify-reflections      : 12
% 0.40/0.63  # Paramodulations                      : 1718
% 0.40/0.63  # Factorizations                       : 0
% 0.40/0.63  # NegExts                              : 0
% 0.40/0.63  # Equation resolutions                 : 101
% 0.40/0.63  # Total rewrite steps                  : 1493
% 0.40/0.63  # Propositional unsat checks           : 0
% 0.40/0.63  #    Propositional check models        : 0
% 0.40/0.63  #    Propositional check unsatisfiable : 0
% 0.40/0.63  #    Propositional clauses             : 0
% 0.40/0.63  #    Propositional clauses after purity: 0
% 0.40/0.63  #    Propositional unsat core size     : 0
% 0.40/0.63  #    Propositional preprocessing time  : 0.000
% 0.40/0.63  #    Propositional encoding time       : 0.000
% 0.40/0.63  #    Propositional solver time         : 0.000
% 0.40/0.63  #    Success case prop preproc time    : 0.000
% 0.40/0.63  #    Success case prop encoding time   : 0.000
% 0.40/0.63  #    Success case prop solver time     : 0.000
% 0.40/0.63  # Current number of processed clauses  : 366
% 0.40/0.63  #    Positive orientable unit clauses  : 62
% 0.40/0.63  #    Positive unorientable unit clauses: 0
% 0.40/0.63  #    Negative unit clauses             : 5
% 0.40/0.63  #    Non-unit-clauses                  : 299
% 0.40/0.63  # Current number of unprocessed clauses: 1186
% 0.40/0.63  # ...number of literals in the above   : 7021
% 0.40/0.63  # Current number of archived formulas  : 0
% 0.40/0.63  # Current number of archived clauses   : 224
% 0.40/0.63  # Clause-clause subsumption calls (NU) : 19050
% 0.40/0.63  # Rec. Clause-clause subsumption calls : 3882
% 0.40/0.63  # Non-unit clause-clause subsumptions  : 126
% 0.40/0.63  # Unit Clause-clause subsumption calls : 223
% 0.40/0.63  # Rewrite failures with RHS unbound    : 0
% 0.40/0.63  # BW rewrite match attempts            : 0
% 0.40/0.63  # BW rewrite match successes           : 0
% 0.40/0.63  # Condensation attempts                : 0
% 0.40/0.63  # Condensation successes               : 0
% 0.40/0.63  # Termbank termtop insertions          : 38266
% 0.40/0.63  
% 0.40/0.63  # -------------------------------------------------
% 0.40/0.63  # User time                : 0.070 s
% 0.40/0.63  # System time              : 0.005 s
% 0.40/0.63  # Total time               : 0.075 s
% 0.40/0.63  # Maximum resident set size: 2100 pages
% 0.40/0.63  
% 0.40/0.63  # -------------------------------------------------
% 0.40/0.63  # User time                : 0.306 s
% 0.40/0.63  # System time              : 0.027 s
% 0.40/0.63  # Total time               : 0.333 s
% 0.40/0.63  # Maximum resident set size: 1860 pages
% 0.40/0.63  % E---3.1 exiting
% 0.40/0.63  % E---3.1 exiting
%------------------------------------------------------------------------------