TSTP Solution File: SWC081-1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SWC081-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n002.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 19:41:23 EDT 2023

% Result   : Unsatisfiable 0.20s 0.71s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   22
% Syntax   : Number of clauses     :   66 (  21 unt;  22 nHn;  64 RR)
%            Number of literals    :  147 (  49 equ;  67 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   6 con; 0-2 aty)
%            Number of variables   :   41 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause173,axiom,
    ( segmentP(X4,X2)
    | app(app(X1,X2),X3) != X4
    | ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X4) ),
    file('/export/starexec/sandbox2/tmp/tmp.0bEFVxjtBb/E---3.1_10157.p',clause173) ).

cnf(co1_1,negated_conjecture,
    ssList(sk1),
    file('/export/starexec/sandbox2/tmp/tmp.0bEFVxjtBb/E---3.1_10157.p',co1_1) ).

cnf(co1_6,negated_conjecture,
    sk1 = sk3,
    file('/export/starexec/sandbox2/tmp/tmp.0bEFVxjtBb/E---3.1_10157.p',co1_6) ).

cnf(co1_2,negated_conjecture,
    ssList(sk2),
    file('/export/starexec/sandbox2/tmp/tmp.0bEFVxjtBb/E---3.1_10157.p',co1_2) ).

cnf(co1_5,negated_conjecture,
    sk2 = sk4,
    file('/export/starexec/sandbox2/tmp/tmp.0bEFVxjtBb/E---3.1_10157.p',co1_5) ).

cnf(co1_8,negated_conjecture,
    ( ~ ssList(X1)
    | ~ neq(X1,nil)
    | ~ segmentP(sk2,X1)
    | ~ segmentP(sk1,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.0bEFVxjtBb/E---3.1_10157.p',co1_8) ).

cnf(clause74,axiom,
    ( app(nil,X1) = X1
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.0bEFVxjtBb/E---3.1_10157.p',clause74) ).

cnf(clause8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox2/tmp/tmp.0bEFVxjtBb/E---3.1_10157.p',clause8) ).

cnf(clause85,axiom,
    ( ssList(app(X2,X1))
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.0bEFVxjtBb/E---3.1_10157.p',clause85) ).

cnf(clause132,axiom,
    ( app(X2,skaf45(X1,X2)) = X1
    | ~ frontsegP(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.0bEFVxjtBb/E---3.1_10157.p',clause132) ).

cnf(co1_16,negated_conjecture,
    ( frontsegP(sk3,sk5)
    | nil = sk3 ),
    file('/export/starexec/sandbox2/tmp/tmp.0bEFVxjtBb/E---3.1_10157.p',co1_16) ).

cnf(co1_10,negated_conjecture,
    ( ssList(sk5)
    | nil = sk3 ),
    file('/export/starexec/sandbox2/tmp/tmp.0bEFVxjtBb/E---3.1_10157.p',co1_10) ).

cnf(co1_15,negated_conjecture,
    ( frontsegP(sk4,sk5)
    | nil = sk3 ),
    file('/export/starexec/sandbox2/tmp/tmp.0bEFVxjtBb/E---3.1_10157.p',co1_15) ).

cnf(co1_13,negated_conjecture,
    ( frontsegP(sk3,sk5)
    | nil = sk4 ),
    file('/export/starexec/sandbox2/tmp/tmp.0bEFVxjtBb/E---3.1_10157.p',co1_13) ).

cnf(co1_9,negated_conjecture,
    ( ssList(sk5)
    | nil = sk4 ),
    file('/export/starexec/sandbox2/tmp/tmp.0bEFVxjtBb/E---3.1_10157.p',co1_9) ).

cnf(co1_14,negated_conjecture,
    ( neq(sk5,nil)
    | nil = sk3 ),
    file('/export/starexec/sandbox2/tmp/tmp.0bEFVxjtBb/E---3.1_10157.p',co1_14) ).

cnf(clause51,axiom,
    ssList(skaf45(X1,X2)),
    file('/export/starexec/sandbox2/tmp/tmp.0bEFVxjtBb/E---3.1_10157.p',clause51) ).

cnf(clause118,axiom,
    ( nil = X1
    | app(X1,X2) != nil
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.0bEFVxjtBb/E---3.1_10157.p',clause118) ).

cnf(co1_7,negated_conjecture,
    neq(sk2,nil),
    file('/export/starexec/sandbox2/tmp/tmp.0bEFVxjtBb/E---3.1_10157.p',co1_7) ).

cnf(clause115,axiom,
    ( X1 != X2
    | ~ neq(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.0bEFVxjtBb/E---3.1_10157.p',clause115) ).

cnf(co1_11,negated_conjecture,
    ( neq(sk5,nil)
    | nil = sk4 ),
    file('/export/starexec/sandbox2/tmp/tmp.0bEFVxjtBb/E---3.1_10157.p',co1_11) ).

cnf(clause79,axiom,
    ( segmentP(nil,X1)
    | nil != X1
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.0bEFVxjtBb/E---3.1_10157.p',clause79) ).

cnf(c_0_22,axiom,
    ( segmentP(X4,X2)
    | app(app(X1,X2),X3) != X4
    | ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X4) ),
    clause173 ).

cnf(c_0_23,negated_conjecture,
    ssList(sk1),
    co1_1 ).

cnf(c_0_24,negated_conjecture,
    sk1 = sk3,
    co1_6 ).

cnf(c_0_25,negated_conjecture,
    ssList(sk2),
    co1_2 ).

cnf(c_0_26,negated_conjecture,
    sk2 = sk4,
    co1_5 ).

cnf(c_0_27,negated_conjecture,
    ( ~ ssList(X1)
    | ~ neq(X1,nil)
    | ~ segmentP(sk2,X1)
    | ~ segmentP(sk1,X1) ),
    co1_8 ).

cnf(c_0_28,plain,
    ( segmentP(app(app(X1,X2),X3),X2)
    | ~ ssList(app(app(X1,X2),X3))
    | ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(er,[status(thm)],[c_0_22]) ).

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

cnf(c_0_30,axiom,
    ssList(nil),
    clause8 ).

cnf(c_0_31,axiom,
    ( ssList(app(X2,X1))
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    clause85 ).

cnf(c_0_32,axiom,
    ( app(X2,skaf45(X1,X2)) = X1
    | ~ frontsegP(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    clause132 ).

cnf(c_0_33,negated_conjecture,
    ( frontsegP(sk3,sk5)
    | nil = sk3 ),
    co1_16 ).

cnf(c_0_34,negated_conjecture,
    ssList(sk3),
    inference(rw,[status(thm)],[c_0_23,c_0_24]) ).

cnf(c_0_35,negated_conjecture,
    ( ssList(sk5)
    | nil = sk3 ),
    co1_10 ).

cnf(c_0_36,negated_conjecture,
    ( frontsegP(sk4,sk5)
    | nil = sk3 ),
    co1_15 ).

cnf(c_0_37,negated_conjecture,
    ssList(sk4),
    inference(rw,[status(thm)],[c_0_25,c_0_26]) ).

cnf(c_0_38,negated_conjecture,
    ( frontsegP(sk3,sk5)
    | nil = sk4 ),
    co1_13 ).

cnf(c_0_39,negated_conjecture,
    ( ssList(sk5)
    | nil = sk4 ),
    co1_9 ).

cnf(c_0_40,negated_conjecture,
    ( ~ neq(X1,nil)
    | ~ segmentP(sk3,X1)
    | ~ segmentP(sk4,X1)
    | ~ ssList(X1) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_27,c_0_24]),c_0_26]) ).

cnf(c_0_41,negated_conjecture,
    ( neq(sk5,nil)
    | nil = sk3 ),
    co1_14 ).

cnf(c_0_42,plain,
    ( segmentP(app(X1,X2),X1)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(csr,[status(thm)],[inference(cn,[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_43,negated_conjecture,
    ( app(sk5,skaf45(sk3,sk5)) = sk3
    | sk3 = nil ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34])]),c_0_35]) ).

cnf(c_0_44,axiom,
    ssList(skaf45(X1,X2)),
    clause51 ).

cnf(c_0_45,negated_conjecture,
    ( app(sk5,skaf45(sk4,sk5)) = sk4
    | sk3 = nil ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_36]),c_0_37])]),c_0_35]) ).

cnf(c_0_46,axiom,
    ( nil = X1
    | app(X1,X2) != nil
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    clause118 ).

cnf(c_0_47,negated_conjecture,
    ( app(sk5,skaf45(sk3,sk5)) = sk3
    | sk4 = nil ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_38]),c_0_34])]),c_0_39]) ).

cnf(c_0_48,negated_conjecture,
    ( sk3 = nil
    | ~ segmentP(sk3,sk5)
    | ~ segmentP(sk4,sk5) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_35]) ).

cnf(c_0_49,negated_conjecture,
    ( sk3 = nil
    | segmentP(sk3,sk5) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_44])]),c_0_35]) ).

cnf(c_0_50,negated_conjecture,
    ( sk3 = nil
    | segmentP(sk4,sk5) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_45]),c_0_44])]),c_0_35]) ).

cnf(c_0_51,negated_conjecture,
    neq(sk2,nil),
    co1_7 ).

cnf(c_0_52,negated_conjecture,
    ( sk4 = nil
    | sk5 = nil
    | sk3 != nil ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_44])]),c_0_39]) ).

cnf(c_0_53,negated_conjecture,
    sk3 = nil,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_50]) ).

cnf(c_0_54,negated_conjecture,
    neq(sk4,nil),
    inference(rw,[status(thm)],[c_0_51,c_0_26]) ).

cnf(c_0_55,axiom,
    ( X1 != X2
    | ~ neq(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    clause115 ).

cnf(c_0_56,negated_conjecture,
    ( neq(sk5,nil)
    | nil = sk4 ),
    co1_11 ).

cnf(c_0_57,negated_conjecture,
    ( sk5 = nil
    | sk4 = nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_52,c_0_53])]) ).

cnf(c_0_58,negated_conjecture,
    ( ~ segmentP(sk3,sk4)
    | ~ segmentP(sk4,sk4) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_54]),c_0_37])]) ).

cnf(c_0_59,plain,
    ( ~ neq(X1,X1)
    | ~ ssList(X1) ),
    inference(er,[status(thm)],[c_0_55]) ).

cnf(c_0_60,negated_conjecture,
    ( sk4 = nil
    | neq(nil,nil) ),
    inference(spm,[status(thm)],[c_0_56,c_0_57]) ).

cnf(c_0_61,axiom,
    ( segmentP(nil,X1)
    | nil != X1
    | ~ ssList(X1) ),
    clause79 ).

cnf(c_0_62,negated_conjecture,
    ( ~ segmentP(nil,sk4)
    | ~ segmentP(sk4,sk4) ),
    inference(rw,[status(thm)],[c_0_58,c_0_53]) ).

cnf(c_0_63,negated_conjecture,
    sk4 = nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_30])]) ).

cnf(c_0_64,plain,
    segmentP(nil,nil),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_61]),c_0_30])]) ).

cnf(c_0_65,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_62,c_0_63]),c_0_64]),c_0_63]),c_0_63]),c_0_64])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : SWC081-1 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.13  % Command    : run_E %s %d THM
% 0.13/0.34  % Computer : n002.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
% 0.13/0.35  % CPULimit   : 2400
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Oct  3 02:02:45 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.20/0.49  Running first-order model finding
% 0.20/0.49  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.0bEFVxjtBb/E---3.1_10157.p
% 0.20/0.71  # Version: 3.1pre001
% 0.20/0.71  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.20/0.71  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.71  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.20/0.71  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.71  # Starting new_bool_1 with 300s (1) cores
% 0.20/0.71  # Starting sh5l with 300s (1) cores
% 0.20/0.71  # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 10236 completed with status 0
% 0.20/0.71  # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.20/0.71  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.20/0.71  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.71  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.20/0.71  # No SInE strategy applied
% 0.20/0.71  # Search class: FGHSM-FSLM21-MFFFFFNN
% 0.20/0.71  # Scheduled 9 strats onto 5 cores with 1500 seconds (1500 total)
% 0.20/0.71  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2s with 406s (1) cores
% 0.20/0.71  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.20/0.71  # Starting G-E--_200_B02_F1_SE_CS_SP_PI_S2k with 136s (1) cores
% 0.20/0.71  # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S04BN with 136s (1) cores
% 0.20/0.71  # Starting G-E--_200_B02_F1_SE_CS_SP_PI_S0S with 136s (1) cores
% 0.20/0.71  # G-E--_208_C18_F1_SE_CS_SP_PS_S2s with pid 10242 completed with status 0
% 0.20/0.71  # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S2s
% 0.20/0.71  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.20/0.71  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.71  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.20/0.71  # No SInE strategy applied
% 0.20/0.71  # Search class: FGHSM-FSLM21-MFFFFFNN
% 0.20/0.71  # Scheduled 9 strats onto 5 cores with 1500 seconds (1500 total)
% 0.20/0.71  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2s with 406s (1) cores
% 0.20/0.71  # Preprocessing time       : 0.003 s
% 0.20/0.71  # Presaturation interreduction done
% 0.20/0.71  
% 0.20/0.71  # Proof found!
% 0.20/0.71  # SZS status Unsatisfiable
% 0.20/0.71  # SZS output start CNFRefutation
% See solution above
% 0.20/0.71  # Parsed axioms                        : 201
% 0.20/0.71  # Removed by relevancy pruning/SinE    : 0
% 0.20/0.71  # Initial clauses                      : 201
% 0.20/0.71  # Removed in clause preprocessing      : 0
% 0.20/0.71  # Initial clauses in saturation        : 201
% 0.20/0.71  # Processed clauses                    : 2216
% 0.20/0.71  # ...of these trivial                  : 14
% 0.20/0.71  # ...subsumed                          : 1236
% 0.20/0.71  # ...remaining for further processing  : 966
% 0.20/0.71  # Other redundant clauses eliminated   : 178
% 0.20/0.71  # Clauses deleted for lack of memory   : 0
% 0.20/0.71  # Backward-subsumed                    : 84
% 0.20/0.71  # Backward-rewritten                   : 305
% 0.20/0.71  # Generated clauses                    : 6359
% 0.20/0.71  # ...of the previous two non-redundant : 5898
% 0.20/0.71  # ...aggressively subsumed             : 0
% 0.20/0.71  # Contextual simplify-reflections      : 279
% 0.20/0.71  # Paramodulations                      : 6172
% 0.20/0.71  # Factorizations                       : 0
% 0.20/0.71  # NegExts                              : 0
% 0.20/0.71  # Equation resolutions                 : 188
% 0.20/0.71  # Total rewrite steps                  : 5657
% 0.20/0.71  # Propositional unsat checks           : 0
% 0.20/0.71  #    Propositional check models        : 0
% 0.20/0.71  #    Propositional check unsatisfiable : 0
% 0.20/0.71  #    Propositional clauses             : 0
% 0.20/0.71  #    Propositional clauses after purity: 0
% 0.20/0.71  #    Propositional unsat core size     : 0
% 0.20/0.71  #    Propositional preprocessing time  : 0.000
% 0.20/0.71  #    Propositional encoding time       : 0.000
% 0.20/0.71  #    Propositional solver time         : 0.000
% 0.20/0.71  #    Success case prop preproc time    : 0.000
% 0.20/0.71  #    Success case prop encoding time   : 0.000
% 0.20/0.71  #    Success case prop solver time     : 0.000
% 0.20/0.71  # Current number of processed clauses  : 361
% 0.20/0.71  #    Positive orientable unit clauses  : 61
% 0.20/0.71  #    Positive unorientable unit clauses: 0
% 0.20/0.71  #    Negative unit clauses             : 2
% 0.20/0.71  #    Non-unit-clauses                  : 298
% 0.20/0.71  # Current number of unprocessed clauses: 4052
% 0.20/0.71  # ...number of literals in the above   : 24344
% 0.20/0.71  # Current number of archived formulas  : 0
% 0.20/0.71  # Current number of archived clauses   : 582
% 0.20/0.71  # Clause-clause subsumption calls (NU) : 58552
% 0.20/0.71  # Rec. Clause-clause subsumption calls : 14124
% 0.20/0.71  # Non-unit clause-clause subsumptions  : 1356
% 0.20/0.71  # Unit Clause-clause subsumption calls : 184
% 0.20/0.71  # Rewrite failures with RHS unbound    : 0
% 0.20/0.71  # BW rewrite match attempts            : 4
% 0.20/0.71  # BW rewrite match successes           : 4
% 0.20/0.71  # Condensation attempts                : 0
% 0.20/0.71  # Condensation successes               : 0
% 0.20/0.71  # Termbank termtop insertions          : 117753
% 0.20/0.71  
% 0.20/0.71  # -------------------------------------------------
% 0.20/0.71  # User time                : 0.187 s
% 0.20/0.71  # System time              : 0.006 s
% 0.20/0.71  # Total time               : 0.193 s
% 0.20/0.71  # Maximum resident set size: 2112 pages
% 0.20/0.71  
% 0.20/0.71  # -------------------------------------------------
% 0.20/0.71  # User time                : 0.942 s
% 0.20/0.71  # System time              : 0.058 s
% 0.20/0.71  # Total time               : 1.000 s
% 0.20/0.71  # Maximum resident set size: 1852 pages
% 0.20/0.71  % E---3.1 exiting
%------------------------------------------------------------------------------