TSTP Solution File: SWC239-1 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : SWC239-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n029.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 19:40:02 EDT 2023

% Result   : Unsatisfiable 0.68s 0.59s
% Output   : CNFRefutation 0.68s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   32 (  12 unt;   4 nHn;  32 RR)
%            Number of literals    :   75 (  25 equ;  47 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;   4 con; 0-3 aty)
%            Number of variables   :   30 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(co1_18,negated_conjecture,
    ( cons(sk6,nil) = sk3
    | nil = sk3 ),
    file('/export/starexec/sandbox/tmp/tmp.qu9cbTDAka/E---3.1_28338.p',co1_18) ).

cnf(co1_6,negated_conjecture,
    sk1 = sk3,
    file('/export/starexec/sandbox/tmp/tmp.qu9cbTDAka/E---3.1_28338.p',co1_6) ).

cnf(co1_7,negated_conjecture,
    nil != sk1,
    file('/export/starexec/sandbox/tmp/tmp.qu9cbTDAka/E---3.1_28338.p',co1_7) ).

cnf(co1_10,negated_conjecture,
    ( memberP(X3,sk5(X3,X2,X1))
    | ~ ssItem(X1)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | app(app(X2,cons(X1,nil)),X3) != sk1 ),
    file('/export/starexec/sandbox/tmp/tmp.qu9cbTDAka/E---3.1_28338.p',co1_10) ).

cnf(clause71,axiom,
    ( ~ memberP(nil,X1)
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.qu9cbTDAka/E---3.1_28338.p',clause71) ).

cnf(clause8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox/tmp/tmp.qu9cbTDAka/E---3.1_28338.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.qu9cbTDAka/E---3.1_28338.p',co1_8) ).

cnf(clause74,axiom,
    ( app(nil,X1) = X1
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.qu9cbTDAka/E---3.1_28338.p',clause74) ).

cnf(clause73,axiom,
    ( app(X1,nil) = X1
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.qu9cbTDAka/E---3.1_28338.p',clause73) ).

cnf(co1_1,negated_conjecture,
    ssList(sk1),
    file('/export/starexec/sandbox/tmp/tmp.qu9cbTDAka/E---3.1_28338.p',co1_1) ).

cnf(co1_14,negated_conjecture,
    ( ssItem(sk6)
    | nil = sk3 ),
    file('/export/starexec/sandbox/tmp/tmp.qu9cbTDAka/E---3.1_28338.p',co1_14) ).

cnf(c_0_11,negated_conjecture,
    ( cons(sk6,nil) = sk3
    | nil = sk3 ),
    co1_18 ).

cnf(c_0_12,negated_conjecture,
    sk1 = sk3,
    co1_6 ).

cnf(c_0_13,negated_conjecture,
    nil != sk1,
    co1_7 ).

cnf(c_0_14,negated_conjecture,
    ( memberP(X3,sk5(X3,X2,X1))
    | ~ ssItem(X1)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | app(app(X2,cons(X1,nil)),X3) != sk1 ),
    co1_10 ).

cnf(c_0_15,negated_conjecture,
    sk1 = cons(sk6,nil),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_12]),c_0_12]),c_0_13]) ).

cnf(c_0_16,axiom,
    ( ~ memberP(nil,X1)
    | ~ ssItem(X1) ),
    clause71 ).

cnf(c_0_17,negated_conjecture,
    ( memberP(X1,sk5(X1,X2,X3))
    | app(app(X2,cons(X3,nil)),X1) != cons(sk6,nil)
    | ~ ssItem(X3)
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(rw,[status(thm)],[c_0_14,c_0_15]) ).

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

cnf(c_0_19,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_20,negated_conjecture,
    ( app(app(X1,cons(X2,nil)),nil) != cons(sk6,nil)
    | ~ ssItem(sk5(nil,X1,X2))
    | ~ ssItem(X2)
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18])]) ).

cnf(c_0_21,negated_conjecture,
    ( ssItem(sk5(X1,X2,X3))
    | app(app(X2,cons(X3,nil)),X1) != cons(sk6,nil)
    | ~ ssItem(X3)
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(rw,[status(thm)],[c_0_19,c_0_15]) ).

cnf(c_0_22,negated_conjecture,
    ( app(app(X1,cons(X2,nil)),nil) != cons(sk6,nil)
    | ~ ssItem(X2)
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_18])]) ).

cnf(c_0_23,axiom,
    ( app(nil,X1) = X1
    | ~ ssList(X1) ),
    clause74 ).

cnf(c_0_24,negated_conjecture,
    ( app(cons(X1,nil),nil) != cons(sk6,nil)
    | ~ ssItem(X1)
    | ~ ssList(cons(X1,nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_18])]) ).

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

cnf(c_0_26,negated_conjecture,
    ssList(sk1),
    co1_1 ).

cnf(c_0_27,negated_conjecture,
    ( ssItem(sk6)
    | nil = sk3 ),
    co1_14 ).

cnf(c_0_28,negated_conjecture,
    ( cons(X1,nil) != cons(sk6,nil)
    | ~ ssItem(X1)
    | ~ ssList(cons(X1,nil)) ),
    inference(spm,[status(thm)],[c_0_24,c_0_25]) ).

cnf(c_0_29,negated_conjecture,
    ssList(cons(sk6,nil)),
    inference(rw,[status(thm)],[c_0_26,c_0_15]) ).

cnf(c_0_30,negated_conjecture,
    ssItem(sk6),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_27,c_0_12]),c_0_13]) ).

cnf(c_0_31,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.14  % Problem    : SWC239-1 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.15  % Command    : run_E %s %d THM
% 0.15/0.36  % Computer : n029.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 2400
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Tue Oct  3 01:59:22 EDT 2023
% 0.15/0.37  % CPUTime    : 
% 0.22/0.51  Running first-order theorem proving
% 0.22/0.51  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.qu9cbTDAka/E---3.1_28338.p
% 0.68/0.59  # Version: 3.1pre001
% 0.68/0.59  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.68/0.59  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.68/0.59  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.68/0.59  # Starting new_bool_3 with 300s (1) cores
% 0.68/0.59  # Starting new_bool_1 with 300s (1) cores
% 0.68/0.59  # Starting sh5l with 300s (1) cores
% 0.68/0.59  # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 28458 completed with status 0
% 0.68/0.59  # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.68/0.59  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.68/0.59  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.68/0.59  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.68/0.59  # No SInE strategy applied
% 0.68/0.59  # Search class: FGHSM-FSLM31-MFFFFFNN
% 0.68/0.59  # Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.68/0.59  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 675s (1) cores
% 0.68/0.59  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.68/0.59  # Starting G-E--_207_B07_F1_AE_CS_SP_PI_PS_S0Y with 136s (1) cores
% 0.68/0.59  # Starting U----_116Y_C05_02_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.68/0.59  # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 136s (1) cores
% 0.68/0.59  # G-E--_207_B07_F1_AE_CS_SP_PI_PS_S0Y with pid 28469 completed with status 0
% 0.68/0.59  # Result found by G-E--_207_B07_F1_AE_CS_SP_PI_PS_S0Y
% 0.68/0.59  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.68/0.59  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.68/0.59  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.68/0.59  # No SInE strategy applied
% 0.68/0.59  # Search class: FGHSM-FSLM31-MFFFFFNN
% 0.68/0.59  # Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.68/0.59  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 675s (1) cores
% 0.68/0.59  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.68/0.59  # Starting G-E--_207_B07_F1_AE_CS_SP_PI_PS_S0Y with 136s (1) cores
% 0.68/0.59  # Preprocessing time       : 0.003 s
% 0.68/0.59  # Presaturation interreduction done
% 0.68/0.59  
% 0.68/0.59  # Proof found!
% 0.68/0.59  # SZS status Unsatisfiable
% 0.68/0.59  # SZS output start CNFRefutation
% See solution above
% 0.68/0.59  # Parsed axioms                        : 205
% 0.68/0.59  # Removed by relevancy pruning/SinE    : 0
% 0.68/0.59  # Initial clauses                      : 205
% 0.68/0.59  # Removed in clause preprocessing      : 0
% 0.68/0.59  # Initial clauses in saturation        : 205
% 0.68/0.59  # Processed clauses                    : 445
% 0.68/0.59  # ...of these trivial                  : 4
% 0.68/0.59  # ...subsumed                          : 19
% 0.68/0.59  # ...remaining for further processing  : 422
% 0.68/0.59  # Other redundant clauses eliminated   : 82
% 0.68/0.59  # Clauses deleted for lack of memory   : 0
% 0.68/0.59  # Backward-subsumed                    : 4
% 0.68/0.59  # Backward-rewritten                   : 3
% 0.68/0.59  # Generated clauses                    : 899
% 0.68/0.59  # ...of the previous two non-redundant : 743
% 0.68/0.59  # ...aggressively subsumed             : 0
% 0.68/0.59  # Contextual simplify-reflections      : 4
% 0.68/0.59  # Paramodulations                      : 799
% 0.68/0.59  # Factorizations                       : 0
% 0.68/0.59  # NegExts                              : 0
% 0.68/0.59  # Equation resolutions                 : 99
% 0.68/0.59  # Total rewrite steps                  : 701
% 0.68/0.59  # Propositional unsat checks           : 0
% 0.68/0.59  #    Propositional check models        : 0
% 0.68/0.59  #    Propositional check unsatisfiable : 0
% 0.68/0.59  #    Propositional clauses             : 0
% 0.68/0.59  #    Propositional clauses after purity: 0
% 0.68/0.59  #    Propositional unsat core size     : 0
% 0.68/0.59  #    Propositional preprocessing time  : 0.000
% 0.68/0.59  #    Propositional encoding time       : 0.000
% 0.68/0.59  #    Propositional solver time         : 0.000
% 0.68/0.59  #    Success case prop preproc time    : 0.000
% 0.68/0.59  #    Success case prop encoding time   : 0.000
% 0.68/0.59  #    Success case prop solver time     : 0.000
% 0.68/0.59  # Current number of processed clauses  : 213
% 0.68/0.59  #    Positive orientable unit clauses  : 59
% 0.68/0.59  #    Positive unorientable unit clauses: 0
% 0.68/0.59  #    Negative unit clauses             : 3
% 0.68/0.59  #    Non-unit-clauses                  : 151
% 0.68/0.59  # Current number of unprocessed clauses: 698
% 0.68/0.59  # ...number of literals in the above   : 4675
% 0.68/0.59  # Current number of archived formulas  : 0
% 0.68/0.59  # Current number of archived clauses   : 204
% 0.68/0.59  # Clause-clause subsumption calls (NU) : 11943
% 0.68/0.59  # Rec. Clause-clause subsumption calls : 1362
% 0.68/0.59  # Non-unit clause-clause subsumptions  : 25
% 0.68/0.59  # Unit Clause-clause subsumption calls : 19
% 0.68/0.59  # Rewrite failures with RHS unbound    : 0
% 0.68/0.59  # BW rewrite match attempts            : 2
% 0.68/0.59  # BW rewrite match successes           : 2
% 0.68/0.59  # Condensation attempts                : 0
% 0.68/0.59  # Condensation successes               : 0
% 0.68/0.59  # Termbank termtop insertions          : 24552
% 0.68/0.59  
% 0.68/0.59  # -------------------------------------------------
% 0.68/0.59  # User time                : 0.053 s
% 0.68/0.59  # System time              : 0.007 s
% 0.68/0.59  # Total time               : 0.061 s
% 0.68/0.59  # Maximum resident set size: 2100 pages
% 0.68/0.59  
% 0.68/0.59  # -------------------------------------------------
% 0.68/0.59  # User time                : 0.248 s
% 0.68/0.59  # System time              : 0.030 s
% 0.68/0.59  # Total time               : 0.278 s
% 0.68/0.59  # Maximum resident set size: 1860 pages
% 0.68/0.59  % E---3.1 exiting
% 0.68/0.59  % E---3.1 exiting
%------------------------------------------------------------------------------