TSTP Solution File: SWC085-1 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : SWC085-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n005.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 19:39:15 EDT 2023

% Result   : Unsatisfiable 0.89s 0.60s
% Output   : CNFRefutation 0.89s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   18
% Syntax   : Number of clauses     :   54 (  21 unt;   7 nHn;  52 RR)
%            Number of literals    :  115 (  27 equ;  59 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    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :   36 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(co1_8,negated_conjecture,
    ( ~ ssList(X1)
    | ~ neq(X1,nil)
    | ~ segmentP(sk2,X1)
    | ~ segmentP(sk1,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.N1nenaEccf/E---3.1_16767.p',co1_8) ).

cnf(co1_6,negated_conjecture,
    sk1 = sk3,
    file('/export/starexec/sandbox2/tmp/tmp.N1nenaEccf/E---3.1_16767.p',co1_6) ).

cnf(co1_5,negated_conjecture,
    sk2 = sk4,
    file('/export/starexec/sandbox2/tmp/tmp.N1nenaEccf/E---3.1_16767.p',co1_5) ).

cnf(co1_1,negated_conjecture,
    ssList(sk1),
    file('/export/starexec/sandbox2/tmp/tmp.N1nenaEccf/E---3.1_16767.p',co1_1) ).

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.N1nenaEccf/E---3.1_16767.p',clause173) ).

cnf(co1_2,negated_conjecture,
    ssList(sk2),
    file('/export/starexec/sandbox2/tmp/tmp.N1nenaEccf/E---3.1_16767.p',co1_2) ).

cnf(co1_11,negated_conjecture,
    ( nil = sk3
    | neq(sk3,nil) ),
    file('/export/starexec/sandbox2/tmp/tmp.N1nenaEccf/E---3.1_16767.p',co1_11) ).

cnf(co1_9,negated_conjecture,
    ( nil = sk4
    | neq(sk3,nil) ),
    file('/export/starexec/sandbox2/tmp/tmp.N1nenaEccf/E---3.1_16767.p',co1_9) ).

cnf(clause74,axiom,
    ( app(nil,X1) = X1
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.N1nenaEccf/E---3.1_16767.p',clause74) ).

cnf(clause8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox2/tmp/tmp.N1nenaEccf/E---3.1_16767.p',clause8) ).

cnf(clause85,axiom,
    ( ssList(app(X2,X1))
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.N1nenaEccf/E---3.1_16767.p',clause85) ).

cnf(clause132,axiom,
    ( app(X2,skaf45(X1,X2)) = X1
    | ~ frontsegP(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.N1nenaEccf/E---3.1_16767.p',clause132) ).

cnf(co1_12,negated_conjecture,
    ( nil = sk3
    | frontsegP(sk4,sk3) ),
    file('/export/starexec/sandbox2/tmp/tmp.N1nenaEccf/E---3.1_16767.p',co1_12) ).

cnf(clause57,axiom,
    ( segmentP(X1,X1)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.N1nenaEccf/E---3.1_16767.p',clause57) ).

cnf(co1_7,negated_conjecture,
    neq(sk2,nil),
    file('/export/starexec/sandbox2/tmp/tmp.N1nenaEccf/E---3.1_16767.p',co1_7) ).

cnf(clause51,axiom,
    ssList(skaf45(X1,X2)),
    file('/export/starexec/sandbox2/tmp/tmp.N1nenaEccf/E---3.1_16767.p',clause51) ).

cnf(clause56,axiom,
    ( segmentP(X1,nil)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.N1nenaEccf/E---3.1_16767.p',clause56) ).

cnf(clause79,axiom,
    ( segmentP(nil,X1)
    | nil != X1
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.N1nenaEccf/E---3.1_16767.p',clause79) ).

cnf(c_0_18,negated_conjecture,
    ( ~ ssList(X1)
    | ~ neq(X1,nil)
    | ~ segmentP(sk2,X1)
    | ~ segmentP(sk1,X1) ),
    co1_8 ).

cnf(c_0_19,negated_conjecture,
    sk1 = sk3,
    co1_6 ).

cnf(c_0_20,negated_conjecture,
    sk2 = sk4,
    co1_5 ).

cnf(c_0_21,negated_conjecture,
    ssList(sk1),
    co1_1 ).

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(sk2),
    co1_2 ).

cnf(c_0_24,negated_conjecture,
    ( ~ neq(X1,nil)
    | ~ segmentP(sk3,X1)
    | ~ segmentP(sk4,X1)
    | ~ ssList(X1) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_18,c_0_19]),c_0_20]) ).

cnf(c_0_25,negated_conjecture,
    ( nil = sk3
    | neq(sk3,nil) ),
    co1_11 ).

cnf(c_0_26,negated_conjecture,
    ssList(sk3),
    inference(rw,[status(thm)],[c_0_21,c_0_19]) ).

cnf(c_0_27,negated_conjecture,
    ( nil = sk4
    | neq(sk3,nil) ),
    co1_9 ).

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,
    ( nil = sk3
    | frontsegP(sk4,sk3) ),
    co1_12 ).

cnf(c_0_34,negated_conjecture,
    ssList(sk4),
    inference(rw,[status(thm)],[c_0_23,c_0_20]) ).

cnf(c_0_35,negated_conjecture,
    ( sk3 = nil
    | ~ segmentP(sk3,sk3)
    | ~ segmentP(sk4,sk3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26])]) ).

cnf(c_0_36,axiom,
    ( segmentP(X1,X1)
    | ~ ssList(X1) ),
    clause57 ).

cnf(c_0_37,negated_conjecture,
    neq(sk2,nil),
    co1_7 ).

cnf(c_0_38,negated_conjecture,
    ( sk4 = nil
    | ~ segmentP(sk3,sk3)
    | ~ segmentP(sk4,sk3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_27]),c_0_26])]) ).

cnf(c_0_39,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_40,negated_conjecture,
    ( app(sk3,skaf45(sk4,sk3)) = sk4
    | sk3 = nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_26]),c_0_34])]) ).

cnf(c_0_41,axiom,
    ssList(skaf45(X1,X2)),
    clause51 ).

cnf(c_0_42,negated_conjecture,
    ( sk3 = nil
    | ~ segmentP(sk4,sk3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_26])]) ).

cnf(c_0_43,negated_conjecture,
    neq(sk4,nil),
    inference(rw,[status(thm)],[c_0_37,c_0_20]) ).

cnf(c_0_44,negated_conjecture,
    ( sk4 = nil
    | ~ segmentP(sk4,sk3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_36]),c_0_26])]) ).

cnf(c_0_45,negated_conjecture,
    sk3 = nil,
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41]),c_0_26])]),c_0_42]) ).

cnf(c_0_46,negated_conjecture,
    ( ~ segmentP(sk3,sk4)
    | ~ segmentP(sk4,sk4) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_43]),c_0_34])]) ).

cnf(c_0_47,negated_conjecture,
    ( sk4 = nil
    | ~ segmentP(sk4,nil) ),
    inference(rw,[status(thm)],[c_0_44,c_0_45]) ).

cnf(c_0_48,axiom,
    ( segmentP(X1,nil)
    | ~ ssList(X1) ),
    clause56 ).

cnf(c_0_49,axiom,
    ( segmentP(nil,X1)
    | nil != X1
    | ~ ssList(X1) ),
    clause79 ).

cnf(c_0_50,negated_conjecture,
    ( ~ segmentP(nil,sk4)
    | ~ segmentP(sk4,sk4) ),
    inference(rw,[status(thm)],[c_0_46,c_0_45]) ).

cnf(c_0_51,negated_conjecture,
    sk4 = nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_34])]) ).

cnf(c_0_52,plain,
    segmentP(nil,nil),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_49]),c_0_30])]) ).

cnf(c_0_53,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_50,c_0_51]),c_0_52]),c_0_51]),c_0_51]),c_0_52])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11  % Problem    : SWC085-1 : TPTP v8.1.2. Released v2.4.0.
% 0.09/0.12  % Command    : run_E %s %d THM
% 0.11/0.32  % Computer : n005.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 2400
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Tue Oct  3 01:58:31 EDT 2023
% 0.11/0.32  % CPUTime    : 
% 0.17/0.44  Running first-order theorem proving
% 0.17/0.44  Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.N1nenaEccf/E---3.1_16767.p
% 0.89/0.60  # Version: 3.1pre001
% 0.89/0.60  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.89/0.60  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.89/0.60  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.89/0.60  # Starting new_bool_3 with 300s (1) cores
% 0.89/0.60  # Starting new_bool_1 with 300s (1) cores
% 0.89/0.60  # Starting sh5l with 300s (1) cores
% 0.89/0.60  # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 16845 completed with status 0
% 0.89/0.60  # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.89/0.60  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.89/0.60  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.89/0.60  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.89/0.60  # No SInE strategy applied
% 0.89/0.60  # Search class: FGHSM-FSLM21-MFFFFFNN
% 0.89/0.60  # Scheduled 9 strats onto 5 cores with 1500 seconds (1500 total)
% 0.89/0.60  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2s with 406s (1) cores
% 0.89/0.60  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.89/0.60  # Starting G-E--_200_B02_F1_SE_CS_SP_PI_S2k with 136s (1) cores
% 0.89/0.60  # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S04BN with 136s (1) cores
% 0.89/0.60  # Starting G-E--_200_B02_F1_SE_CS_SP_PI_S0S with 136s (1) cores
% 0.89/0.60  # G-E--_208_C18_F1_SE_CS_SP_PS_S2s with pid 16851 completed with status 0
% 0.89/0.60  # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S2s
% 0.89/0.60  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.89/0.60  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.89/0.60  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.89/0.60  # No SInE strategy applied
% 0.89/0.60  # Search class: FGHSM-FSLM21-MFFFFFNN
% 0.89/0.60  # Scheduled 9 strats onto 5 cores with 1500 seconds (1500 total)
% 0.89/0.60  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2s with 406s (1) cores
% 0.89/0.60  # Preprocessing time       : 0.003 s
% 0.89/0.60  # Presaturation interreduction done
% 0.89/0.60  
% 0.89/0.60  # Proof found!
% 0.89/0.60  # SZS status Unsatisfiable
% 0.89/0.60  # SZS output start CNFRefutation
% See solution above
% 0.89/0.60  # Parsed axioms                        : 197
% 0.89/0.60  # Removed by relevancy pruning/SinE    : 0
% 0.89/0.60  # Initial clauses                      : 197
% 0.89/0.60  # Removed in clause preprocessing      : 0
% 0.89/0.60  # Initial clauses in saturation        : 197
% 0.89/0.60  # Processed clauses                    : 1859
% 0.89/0.60  # ...of these trivial                  : 4
% 0.89/0.60  # ...subsumed                          : 1070
% 0.89/0.60  # ...remaining for further processing  : 785
% 0.89/0.60  # Other redundant clauses eliminated   : 176
% 0.89/0.60  # Clauses deleted for lack of memory   : 0
% 0.89/0.60  # Backward-subsumed                    : 15
% 0.89/0.60  # Backward-rewritten                   : 194
% 0.89/0.60  # Generated clauses                    : 4594
% 0.89/0.60  # ...of the previous two non-redundant : 4123
% 0.89/0.60  # ...aggressively subsumed             : 0
% 0.89/0.60  # Contextual simplify-reflections      : 119
% 0.89/0.60  # Paramodulations                      : 4410
% 0.89/0.60  # Factorizations                       : 0
% 0.89/0.60  # NegExts                              : 0
% 0.89/0.60  # Equation resolutions                 : 185
% 0.89/0.60  # Total rewrite steps                  : 4880
% 0.89/0.60  # Propositional unsat checks           : 0
% 0.89/0.60  #    Propositional check models        : 0
% 0.89/0.60  #    Propositional check unsatisfiable : 0
% 0.89/0.60  #    Propositional clauses             : 0
% 0.89/0.60  #    Propositional clauses after purity: 0
% 0.89/0.60  #    Propositional unsat core size     : 0
% 0.89/0.60  #    Propositional preprocessing time  : 0.000
% 0.89/0.60  #    Propositional encoding time       : 0.000
% 0.89/0.60  #    Propositional solver time         : 0.000
% 0.89/0.60  #    Success case prop preproc time    : 0.000
% 0.89/0.60  #    Success case prop encoding time   : 0.000
% 0.89/0.60  #    Success case prop solver time     : 0.000
% 0.89/0.60  # Current number of processed clauses  : 364
% 0.89/0.60  #    Positive orientable unit clauses  : 61
% 0.89/0.60  #    Positive unorientable unit clauses: 0
% 0.89/0.60  #    Negative unit clauses             : 2
% 0.89/0.60  #    Non-unit-clauses                  : 301
% 0.89/0.60  # Current number of unprocessed clauses: 2634
% 0.89/0.60  # ...number of literals in the above   : 14379
% 0.89/0.60  # Current number of archived formulas  : 0
% 0.89/0.60  # Current number of archived clauses   : 398
% 0.89/0.60  # Clause-clause subsumption calls (NU) : 40697
% 0.89/0.60  # Rec. Clause-clause subsumption calls : 11673
% 0.89/0.60  # Non-unit clause-clause subsumptions  : 1049
% 0.89/0.60  # Unit Clause-clause subsumption calls : 66
% 0.89/0.60  # Rewrite failures with RHS unbound    : 0
% 0.89/0.60  # BW rewrite match attempts            : 4
% 0.89/0.60  # BW rewrite match successes           : 4
% 0.89/0.60  # Condensation attempts                : 0
% 0.89/0.60  # Condensation successes               : 0
% 0.89/0.60  # Termbank termtop insertions          : 83919
% 0.89/0.60  
% 0.89/0.60  # -------------------------------------------------
% 0.89/0.60  # User time                : 0.127 s
% 0.89/0.60  # System time              : 0.011 s
% 0.89/0.60  # Total time               : 0.138 s
% 0.89/0.60  # Maximum resident set size: 2112 pages
% 0.89/0.60  
% 0.89/0.60  # -------------------------------------------------
% 0.89/0.60  # User time                : 0.645 s
% 0.89/0.60  # System time              : 0.039 s
% 0.89/0.60  # Total time               : 0.683 s
% 0.89/0.60  # Maximum resident set size: 1852 pages
% 0.89/0.60  % E---3.1 exiting
% 0.89/0.60  % E---3.1 exiting
%------------------------------------------------------------------------------