TSTP Solution File: SWC371-1 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : SWC371-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n009.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 19:40:40 EDT 2023

% Result   : Unsatisfiable 0.16s 0.50s
% Output   : CNFRefutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   26 (  18 unt;   0 nHn;  26 RR)
%            Number of literals    :   46 (   8 equ;  24 neg)
%            Maximal clause size   :    6 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :   16 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause172,axiom,
    ( segmentP(app(app(X4,X1),X3),X2)
    | ~ segmentP(X1,X2)
    | ~ ssList(X3)
    | ~ ssList(X4)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.nKOXXvpQ4K/E---3.1_32031.p',clause172) ).

cnf(clause74,axiom,
    ( app(nil,X1) = X1
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.nKOXXvpQ4K/E---3.1_32031.p',clause74) ).

cnf(clause8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox/tmp/tmp.nKOXXvpQ4K/E---3.1_32031.p',clause8) ).

cnf(co1_1,negated_conjecture,
    ssList(sk1),
    file('/export/starexec/sandbox/tmp/tmp.nKOXXvpQ4K/E---3.1_32031.p',co1_1) ).

cnf(co1_6,negated_conjecture,
    sk1 = sk3,
    file('/export/starexec/sandbox/tmp/tmp.nKOXXvpQ4K/E---3.1_32031.p',co1_6) ).

cnf(co1_11,negated_conjecture,
    ~ segmentP(sk2,sk1),
    file('/export/starexec/sandbox/tmp/tmp.nKOXXvpQ4K/E---3.1_32031.p',co1_11) ).

cnf(co1_5,negated_conjecture,
    sk2 = sk4,
    file('/export/starexec/sandbox/tmp/tmp.nKOXXvpQ4K/E---3.1_32031.p',co1_5) ).

cnf(co1_8,negated_conjecture,
    app(sk3,sk5) = sk4,
    file('/export/starexec/sandbox/tmp/tmp.nKOXXvpQ4K/E---3.1_32031.p',co1_8) ).

cnf(co1_7,negated_conjecture,
    ssList(sk5),
    file('/export/starexec/sandbox/tmp/tmp.nKOXXvpQ4K/E---3.1_32031.p',co1_7) ).

cnf(clause57,axiom,
    ( segmentP(X1,X1)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.nKOXXvpQ4K/E---3.1_32031.p',clause57) ).

cnf(c_0_10,axiom,
    ( segmentP(app(app(X4,X1),X3),X2)
    | ~ segmentP(X1,X2)
    | ~ ssList(X3)
    | ~ ssList(X4)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    clause172 ).

cnf(c_0_11,axiom,
    ( app(nil,X1) = X1
    | ~ ssList(X1) ),
    clause74 ).

cnf(c_0_12,axiom,
    ssList(nil),
    clause8 ).

cnf(c_0_13,negated_conjecture,
    ssList(sk1),
    co1_1 ).

cnf(c_0_14,negated_conjecture,
    sk1 = sk3,
    co1_6 ).

cnf(c_0_15,negated_conjecture,
    ~ segmentP(sk2,sk1),
    co1_11 ).

cnf(c_0_16,negated_conjecture,
    sk2 = sk4,
    co1_5 ).

cnf(c_0_17,plain,
    ( segmentP(app(X1,X2),X3)
    | ~ segmentP(X1,X3)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12])]) ).

cnf(c_0_18,negated_conjecture,
    app(sk3,sk5) = sk4,
    co1_8 ).

cnf(c_0_19,negated_conjecture,
    ssList(sk5),
    co1_7 ).

cnf(c_0_20,negated_conjecture,
    ssList(sk3),
    inference(rw,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_21,negated_conjecture,
    ~ segmentP(sk4,sk3),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_16]),c_0_14]) ).

cnf(c_0_22,negated_conjecture,
    ( segmentP(sk4,X1)
    | ~ segmentP(sk3,X1)
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]),c_0_20])]) ).

cnf(c_0_23,negated_conjecture,
    ~ segmentP(sk3,sk3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_20])]) ).

cnf(c_0_24,axiom,
    ( segmentP(X1,X1)
    | ~ ssList(X1) ),
    clause57 ).

cnf(c_0_25,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_20])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.10  % Problem    : SWC371-1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.11  % Command    : run_E %s %d THM
% 0.10/0.31  % Computer : n009.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 2400
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Tue Oct  3 01:53:14 EDT 2023
% 0.10/0.31  % CPUTime    : 
% 0.16/0.42  Running first-order theorem proving
% 0.16/0.42  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.nKOXXvpQ4K/E---3.1_32031.p
% 0.16/0.50  # Version: 3.1pre001
% 0.16/0.50  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.16/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.50  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.16/0.50  # Starting new_bool_3 with 300s (1) cores
% 0.16/0.50  # Starting new_bool_1 with 300s (1) cores
% 0.16/0.50  # Starting sh5l with 300s (1) cores
% 0.16/0.50  # new_bool_1 with pid 32111 completed with status 0
% 0.16/0.50  # Result found by new_bool_1
% 0.16/0.50  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.16/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.50  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.16/0.50  # Starting new_bool_3 with 300s (1) cores
% 0.16/0.50  # Starting new_bool_1 with 300s (1) cores
% 0.16/0.50  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/0.50  # Search class: FGHSF-FFMM21-MFFFFFNN
% 0.16/0.50  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.50  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 0.16/0.50  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 32114 completed with status 0
% 0.16/0.50  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.16/0.50  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.16/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.50  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.16/0.50  # Starting new_bool_3 with 300s (1) cores
% 0.16/0.50  # Starting new_bool_1 with 300s (1) cores
% 0.16/0.50  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/0.50  # Search class: FGHSF-FFMM21-MFFFFFNN
% 0.16/0.50  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.50  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 0.16/0.50  # Preprocessing time       : 0.002 s
% 0.16/0.50  # Presaturation interreduction done
% 0.16/0.50  
% 0.16/0.50  # Proof found!
% 0.16/0.50  # SZS status Unsatisfiable
% 0.16/0.50  # SZS output start CNFRefutation
% See solution above
% 0.16/0.50  # Parsed axioms                        : 197
% 0.16/0.50  # Removed by relevancy pruning/SinE    : 131
% 0.16/0.50  # Initial clauses                      : 66
% 0.16/0.50  # Removed in clause preprocessing      : 0
% 0.16/0.50  # Initial clauses in saturation        : 66
% 0.16/0.50  # Processed clauses                    : 814
% 0.16/0.50  # ...of these trivial                  : 23
% 0.16/0.50  # ...subsumed                          : 392
% 0.16/0.50  # ...remaining for further processing  : 399
% 0.16/0.50  # Other redundant clauses eliminated   : 19
% 0.16/0.50  # Clauses deleted for lack of memory   : 0
% 0.16/0.50  # Backward-subsumed                    : 44
% 0.16/0.50  # Backward-rewritten                   : 7
% 0.16/0.50  # Generated clauses                    : 2703
% 0.16/0.50  # ...of the previous two non-redundant : 2432
% 0.16/0.50  # ...aggressively subsumed             : 0
% 0.16/0.50  # Contextual simplify-reflections      : 36
% 0.16/0.50  # Paramodulations                      : 2669
% 0.16/0.50  # Factorizations                       : 0
% 0.16/0.50  # NegExts                              : 0
% 0.16/0.50  # Equation resolutions                 : 27
% 0.16/0.50  # Total rewrite steps                  : 2392
% 0.16/0.50  # Propositional unsat checks           : 0
% 0.16/0.50  #    Propositional check models        : 0
% 0.16/0.50  #    Propositional check unsatisfiable : 0
% 0.16/0.50  #    Propositional clauses             : 0
% 0.16/0.50  #    Propositional clauses after purity: 0
% 0.16/0.50  #    Propositional unsat core size     : 0
% 0.16/0.50  #    Propositional preprocessing time  : 0.000
% 0.16/0.50  #    Propositional encoding time       : 0.000
% 0.16/0.50  #    Propositional solver time         : 0.000
% 0.16/0.50  #    Success case prop preproc time    : 0.000
% 0.16/0.50  #    Success case prop encoding time   : 0.000
% 0.16/0.50  #    Success case prop solver time     : 0.000
% 0.16/0.50  # Current number of processed clauses  : 273
% 0.16/0.50  #    Positive orientable unit clauses  : 26
% 0.16/0.50  #    Positive unorientable unit clauses: 0
% 0.16/0.50  #    Negative unit clauses             : 11
% 0.16/0.50  #    Non-unit-clauses                  : 236
% 0.16/0.50  # Current number of unprocessed clauses: 1690
% 0.16/0.50  # ...number of literals in the above   : 9805
% 0.16/0.50  # Current number of archived formulas  : 0
% 0.16/0.50  # Current number of archived clauses   : 118
% 0.16/0.50  # Clause-clause subsumption calls (NU) : 9015
% 0.16/0.50  # Rec. Clause-clause subsumption calls : 2780
% 0.16/0.50  # Non-unit clause-clause subsumptions  : 369
% 0.16/0.50  # Unit Clause-clause subsumption calls : 486
% 0.16/0.50  # Rewrite failures with RHS unbound    : 0
% 0.16/0.50  # BW rewrite match attempts            : 3
% 0.16/0.50  # BW rewrite match successes           : 3
% 0.16/0.50  # Condensation attempts                : 0
% 0.16/0.50  # Condensation successes               : 0
% 0.16/0.50  # Termbank termtop insertions          : 50383
% 0.16/0.50  
% 0.16/0.50  # -------------------------------------------------
% 0.16/0.50  # User time                : 0.066 s
% 0.16/0.50  # System time              : 0.003 s
% 0.16/0.50  # Total time               : 0.069 s
% 0.16/0.50  # Maximum resident set size: 1952 pages
% 0.16/0.50  
% 0.16/0.50  # -------------------------------------------------
% 0.16/0.50  # User time                : 0.070 s
% 0.16/0.50  # System time              : 0.006 s
% 0.16/0.50  # Total time               : 0.075 s
% 0.16/0.50  # Maximum resident set size: 1848 pages
% 0.16/0.50  % E---3.1 exiting
% 0.16/0.50  % E---3.1 exiting
%------------------------------------------------------------------------------