TSTP Solution File: SWC346-1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SWC346-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n010.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 19:42:41 EDT 2023

% Result   : Unsatisfiable 0.16s 0.45s
% Output   : CNFRefutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   18
% Syntax   : Number of clauses     :   47 (  18 unt;  15 nHn;  47 RR)
%            Number of literals    :   91 (  36 equ;  34 neg)
%            Maximal clause size   :    6 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   8 con; 0-2 aty)
%            Number of variables   :   19 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(co1_21,negated_conjecture,
    ( ~ segmentP(sk2,sk1)
    | ~ strictorderedP(sk1) ),
    file('/export/starexec/sandbox2/tmp/tmp.vGEGfZsqnM/E---3.1_25810.p',co1_21) ).

cnf(co1_6,negated_conjecture,
    sk1 = sk3,
    file('/export/starexec/sandbox2/tmp/tmp.vGEGfZsqnM/E---3.1_25810.p',co1_6) ).

cnf(co1_5,negated_conjecture,
    sk2 = sk4,
    file('/export/starexec/sandbox2/tmp/tmp.vGEGfZsqnM/E---3.1_25810.p',co1_5) ).

cnf(clause66,axiom,
    ( strictorderedP(cons(X1,nil))
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.vGEGfZsqnM/E---3.1_25810.p',clause66) ).

cnf(co1_17,negated_conjecture,
    ( cons(sk5,nil) = sk3
    | nil = sk3 ),
    file('/export/starexec/sandbox2/tmp/tmp.vGEGfZsqnM/E---3.1_25810.p',co1_17) ).

cnf(co1_8,negated_conjecture,
    ( ssItem(sk5)
    | nil = sk3 ),
    file('/export/starexec/sandbox2/tmp/tmp.vGEGfZsqnM/E---3.1_25810.p',co1_8) ).

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.vGEGfZsqnM/E---3.1_25810.p',clause173) ).

cnf(co1_2,negated_conjecture,
    ssList(sk2),
    file('/export/starexec/sandbox2/tmp/tmp.vGEGfZsqnM/E---3.1_25810.p',co1_2) ).

cnf(co1_1,negated_conjecture,
    ssList(sk1),
    file('/export/starexec/sandbox2/tmp/tmp.vGEGfZsqnM/E---3.1_25810.p',co1_1) ).

cnf(clause99,axiom,
    ( cons(X1,X2) != X2
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.vGEGfZsqnM/E---3.1_25810.p',clause99) ).

cnf(co1_11,negated_conjecture,
    ( cons(sk5,nil) = sk3
    | nil = sk4 ),
    file('/export/starexec/sandbox2/tmp/tmp.vGEGfZsqnM/E---3.1_25810.p',co1_11) ).

cnf(clause8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox2/tmp/tmp.vGEGfZsqnM/E---3.1_25810.p',clause8) ).

cnf(co1_7,negated_conjecture,
    ( ssItem(sk5)
    | nil = sk4 ),
    file('/export/starexec/sandbox2/tmp/tmp.vGEGfZsqnM/E---3.1_25810.p',co1_7) ).

cnf(co1_18,negated_conjecture,
    ( app(app(sk6,sk3),sk7) = sk4
    | nil = sk3 ),
    file('/export/starexec/sandbox2/tmp/tmp.vGEGfZsqnM/E---3.1_25810.p',co1_18) ).

cnf(co1_15,negated_conjecture,
    ( ssList(sk6)
    | nil = sk3 ),
    file('/export/starexec/sandbox2/tmp/tmp.vGEGfZsqnM/E---3.1_25810.p',co1_15) ).

cnf(co1_16,negated_conjecture,
    ( ssList(sk7)
    | nil = sk3 ),
    file('/export/starexec/sandbox2/tmp/tmp.vGEGfZsqnM/E---3.1_25810.p',co1_16) ).

cnf(clause79,axiom,
    ( segmentP(nil,X1)
    | nil != X1
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.vGEGfZsqnM/E---3.1_25810.p',clause79) ).

cnf(clause3,axiom,
    strictorderedP(nil),
    file('/export/starexec/sandbox2/tmp/tmp.vGEGfZsqnM/E---3.1_25810.p',clause3) ).

cnf(c_0_18,negated_conjecture,
    ( ~ segmentP(sk2,sk1)
    | ~ strictorderedP(sk1) ),
    co1_21 ).

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

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

cnf(c_0_21,axiom,
    ( strictorderedP(cons(X1,nil))
    | ~ ssItem(X1) ),
    clause66 ).

cnf(c_0_22,negated_conjecture,
    ( cons(sk5,nil) = sk3
    | nil = sk3 ),
    co1_17 ).

cnf(c_0_23,negated_conjecture,
    ( ssItem(sk5)
    | nil = sk3 ),
    co1_8 ).

cnf(c_0_24,axiom,
    ( segmentP(X4,X2)
    | app(app(X1,X2),X3) != X4
    | ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X4) ),
    clause173 ).

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

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

cnf(c_0_27,negated_conjecture,
    ( ~ segmentP(sk4,sk3)
    | ~ strictorderedP(sk3) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_18,c_0_19]),c_0_20]),c_0_19]) ).

cnf(c_0_28,negated_conjecture,
    ( sk3 = nil
    | strictorderedP(sk3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23]) ).

cnf(c_0_29,axiom,
    ( cons(X1,X2) != X2
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    clause99 ).

cnf(c_0_30,negated_conjecture,
    ( cons(sk5,nil) = sk3
    | nil = sk4 ),
    co1_11 ).

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

cnf(c_0_32,negated_conjecture,
    ( ssItem(sk5)
    | nil = sk4 ),
    co1_7 ).

cnf(c_0_33,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_24]) ).

cnf(c_0_34,negated_conjecture,
    ( app(app(sk6,sk3),sk7) = sk4
    | nil = sk3 ),
    co1_18 ).

cnf(c_0_35,negated_conjecture,
    ssList(sk4),
    inference(rw,[status(thm)],[c_0_25,c_0_20]) ).

cnf(c_0_36,negated_conjecture,
    ssList(sk3),
    inference(rw,[status(thm)],[c_0_26,c_0_19]) ).

cnf(c_0_37,negated_conjecture,
    ( ssList(sk6)
    | nil = sk3 ),
    co1_15 ).

cnf(c_0_38,negated_conjecture,
    ( ssList(sk7)
    | nil = sk3 ),
    co1_16 ).

cnf(c_0_39,negated_conjecture,
    ( sk3 = nil
    | ~ segmentP(sk4,sk3) ),
    inference(spm,[status(thm)],[c_0_27,c_0_28]) ).

cnf(c_0_40,negated_conjecture,
    ( sk4 = nil
    | sk3 != nil ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31])]),c_0_32]) ).

cnf(c_0_41,negated_conjecture,
    sk3 = nil,
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35]),c_0_36])]),c_0_37]),c_0_38]),c_0_39]) ).

cnf(c_0_42,axiom,
    ( segmentP(nil,X1)
    | nil != X1
    | ~ ssList(X1) ),
    clause79 ).

cnf(c_0_43,axiom,
    strictorderedP(nil),
    clause3 ).

cnf(c_0_44,negated_conjecture,
    sk4 = nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_40,c_0_41])]) ).

cnf(c_0_45,plain,
    segmentP(nil,nil),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_42]),c_0_31])]) ).

cnf(c_0_46,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_27,c_0_41]),c_0_41]),c_0_43])]),c_0_44]),c_0_45])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem    : SWC346-1 : TPTP v8.1.2. Released v2.4.0.
% 0.09/0.10  % Command    : run_E %s %d THM
% 0.10/0.30  % Computer : n010.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit   : 2400
% 0.10/0.30  % WCLimit    : 300
% 0.10/0.30  % DateTime   : Tue Oct  3 01:36:35 EDT 2023
% 0.10/0.31  % CPUTime    : 
% 0.16/0.41  Running first-order model finding
% 0.16/0.41  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.vGEGfZsqnM/E---3.1_25810.p
% 0.16/0.45  # Version: 3.1pre001
% 0.16/0.45  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.16/0.45  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.45  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.16/0.45  # Starting new_bool_3 with 300s (1) cores
% 0.16/0.45  # Starting new_bool_1 with 300s (1) cores
% 0.16/0.45  # Starting sh5l with 300s (1) cores
% 0.16/0.45  # new_bool_1 with pid 25889 completed with status 0
% 0.16/0.45  # Result found by new_bool_1
% 0.16/0.45  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.16/0.45  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.45  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.16/0.45  # Starting new_bool_3 with 300s (1) cores
% 0.16/0.45  # Starting new_bool_1 with 300s (1) cores
% 0.16/0.45  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/0.45  # Search class: FGHSF-FFMM21-MFFFFFNN
% 0.16/0.45  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.45  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 0.16/0.45  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 25892 completed with status 0
% 0.16/0.45  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.16/0.45  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.16/0.45  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.45  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.16/0.45  # Starting new_bool_3 with 300s (1) cores
% 0.16/0.45  # Starting new_bool_1 with 300s (1) cores
% 0.16/0.45  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/0.45  # Search class: FGHSF-FFMM21-MFFFFFNN
% 0.16/0.45  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.45  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 0.16/0.45  # Preprocessing time       : 0.002 s
% 0.16/0.45  # Presaturation interreduction done
% 0.16/0.45  
% 0.16/0.45  # Proof found!
% 0.16/0.45  # SZS status Unsatisfiable
% 0.16/0.45  # SZS output start CNFRefutation
% See solution above
% 0.16/0.45  # Parsed axioms                        : 206
% 0.16/0.45  # Removed by relevancy pruning/SinE    : 123
% 0.16/0.45  # Initial clauses                      : 83
% 0.16/0.45  # Removed in clause preprocessing      : 0
% 0.16/0.45  # Initial clauses in saturation        : 83
% 0.16/0.45  # Processed clauses                    : 239
% 0.16/0.45  # ...of these trivial                  : 4
% 0.16/0.45  # ...subsumed                          : 21
% 0.16/0.45  # ...remaining for further processing  : 213
% 0.16/0.45  # Other redundant clauses eliminated   : 15
% 0.16/0.45  # Clauses deleted for lack of memory   : 0
% 0.16/0.45  # Backward-subsumed                    : 0
% 0.16/0.45  # Backward-rewritten                   : 59
% 0.16/0.45  # Generated clauses                    : 433
% 0.16/0.45  # ...of the previous two non-redundant : 382
% 0.16/0.45  # ...aggressively subsumed             : 0
% 0.16/0.45  # Contextual simplify-reflections      : 33
% 0.16/0.45  # Paramodulations                      : 415
% 0.16/0.45  # Factorizations                       : 0
% 0.16/0.45  # NegExts                              : 0
% 0.16/0.45  # Equation resolutions                 : 19
% 0.16/0.45  # Total rewrite steps                  : 334
% 0.16/0.45  # Propositional unsat checks           : 0
% 0.16/0.45  #    Propositional check models        : 0
% 0.16/0.45  #    Propositional check unsatisfiable : 0
% 0.16/0.45  #    Propositional clauses             : 0
% 0.16/0.45  #    Propositional clauses after purity: 0
% 0.16/0.45  #    Propositional unsat core size     : 0
% 0.16/0.45  #    Propositional preprocessing time  : 0.000
% 0.16/0.45  #    Propositional encoding time       : 0.000
% 0.16/0.45  #    Propositional solver time         : 0.000
% 0.16/0.45  #    Success case prop preproc time    : 0.000
% 0.16/0.45  #    Success case prop encoding time   : 0.000
% 0.16/0.45  #    Success case prop solver time     : 0.000
% 0.16/0.45  # Current number of processed clauses  : 68
% 0.16/0.45  #    Positive orientable unit clauses  : 9
% 0.16/0.45  #    Positive unorientable unit clauses: 0
% 0.16/0.45  #    Negative unit clauses             : 0
% 0.16/0.45  #    Non-unit-clauses                  : 59
% 0.16/0.45  # Current number of unprocessed clauses: 302
% 0.16/0.45  # ...number of literals in the above   : 1676
% 0.16/0.45  # Current number of archived formulas  : 0
% 0.16/0.45  # Current number of archived clauses   : 135
% 0.16/0.45  # Clause-clause subsumption calls (NU) : 2656
% 0.16/0.45  # Rec. Clause-clause subsumption calls : 655
% 0.16/0.45  # Non-unit clause-clause subsumptions  : 54
% 0.16/0.45  # Unit Clause-clause subsumption calls : 26
% 0.16/0.45  # Rewrite failures with RHS unbound    : 0
% 0.16/0.45  # BW rewrite match attempts            : 2
% 0.16/0.45  # BW rewrite match successes           : 2
% 0.16/0.45  # Condensation attempts                : 0
% 0.16/0.45  # Condensation successes               : 0
% 0.16/0.45  # Termbank termtop insertions          : 11351
% 0.16/0.45  
% 0.16/0.45  # -------------------------------------------------
% 0.16/0.45  # User time                : 0.019 s
% 0.16/0.45  # System time              : 0.002 s
% 0.16/0.45  # Total time               : 0.021 s
% 0.16/0.45  # Maximum resident set size: 1992 pages
% 0.16/0.45  
% 0.16/0.45  # -------------------------------------------------
% 0.16/0.45  # User time                : 0.023 s
% 0.16/0.45  # System time              : 0.003 s
% 0.16/0.45  # Total time               : 0.026 s
% 0.16/0.45  # Maximum resident set size: 1856 pages
% 0.16/0.45  % E---3.1 exiting
%------------------------------------------------------------------------------