TSTP Solution File: SET153-6 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : SET153-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n006.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 : 300s
% WCLimit  : 300s
% DateTime : Sat May  4 09:22:24 EDT 2024

% Result   : Unsatisfiable 0.19s 0.52s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   19 (   5 unt;   4 nHn;  14 RR)
%            Number of literals    :   33 (   9 equ;  16 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   33 (   6 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(intersection1,axiom,
    ( member(X1,X2)
    | ~ member(X1,intersection(X2,X3)) ),
    file('/export/starexec/sandbox2/tmp/tmp.A31jGFsw0s/E---3.1_25863.p',intersection1) ).

cnf(complement1,axiom,
    ( ~ member(X1,complement(X2))
    | ~ member(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.A31jGFsw0s/E---3.1_25863.p',complement1) ).

cnf(regularity1,axiom,
    ( X1 = null_class
    | member(regular(X1),X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.A31jGFsw0s/E---3.1_25863.p',regularity1) ).

cnf(intersection2,axiom,
    ( member(X1,X3)
    | ~ member(X1,intersection(X2,X3)) ),
    file('/export/starexec/sandbox2/tmp/tmp.A31jGFsw0s/E---3.1_25863.p',intersection2) ).

cnf(prove_intersection_with_complement_1,negated_conjecture,
    intersection(complement(x),x) != null_class,
    file('/export/starexec/sandbox2/tmp/tmp.A31jGFsw0s/E---3.1_25863.p',prove_intersection_with_complement_1) ).

cnf(c_0_5,plain,
    ( member(X1,X2)
    | ~ member(X1,intersection(X2,X3)) ),
    inference(fof_simplification,[status(thm)],[intersection1]) ).

cnf(c_0_6,plain,
    ( ~ member(X1,complement(X2))
    | ~ member(X1,X2) ),
    inference(fof_simplification,[status(thm)],[complement1]) ).

cnf(c_0_7,plain,
    ( member(X1,X2)
    | ~ member(X1,intersection(X2,X3)) ),
    c_0_5 ).

cnf(c_0_8,axiom,
    ( X1 = null_class
    | member(regular(X1),X1) ),
    regularity1 ).

cnf(c_0_9,plain,
    ( member(X1,X3)
    | ~ member(X1,intersection(X2,X3)) ),
    inference(fof_simplification,[status(thm)],[intersection2]) ).

cnf(c_0_10,plain,
    ( ~ member(X1,complement(X2))
    | ~ member(X1,X2) ),
    c_0_6 ).

cnf(c_0_11,plain,
    ( intersection(X1,X2) = null_class
    | member(regular(intersection(X1,X2)),X1) ),
    inference(spm,[status(thm)],[c_0_7,c_0_8]) ).

cnf(c_0_12,plain,
    ( member(X1,X3)
    | ~ member(X1,intersection(X2,X3)) ),
    c_0_9 ).

cnf(c_0_13,negated_conjecture,
    intersection(complement(x),x) != null_class,
    inference(fof_simplification,[status(thm)],[prove_intersection_with_complement_1]) ).

cnf(c_0_14,plain,
    ( intersection(complement(X1),X2) = null_class
    | ~ member(regular(intersection(complement(X1),X2)),X1) ),
    inference(spm,[status(thm)],[c_0_10,c_0_11]) ).

cnf(c_0_15,plain,
    ( intersection(X1,X2) = null_class
    | member(regular(intersection(X1,X2)),X2) ),
    inference(spm,[status(thm)],[c_0_12,c_0_8]) ).

cnf(c_0_16,negated_conjecture,
    intersection(complement(x),x) != null_class,
    c_0_13 ).

cnf(c_0_17,plain,
    intersection(complement(X1),X1) = null_class,
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_18,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_17])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem    : SET153-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.11/0.13  % Command    : run_E %s %d THM
% 0.13/0.33  % Computer : n006.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Fri May  3 10:01:34 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.19/0.47  Running first-order model finding
% 0.19/0.47  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.A31jGFsw0s/E---3.1_25863.p
% 0.19/0.52  # Version: 3.1.0
% 0.19/0.52  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.19/0.52  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.52  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.19/0.52  # Starting new_bool_3 with 300s (1) cores
% 0.19/0.52  # Starting new_bool_1 with 300s (1) cores
% 0.19/0.52  # Starting sh5l with 300s (1) cores
% 0.19/0.52  # sh5l with pid 25943 completed with status 0
% 0.19/0.52  # Result found by sh5l
% 0.19/0.52  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.19/0.52  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.52  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.19/0.52  # Starting new_bool_3 with 300s (1) cores
% 0.19/0.52  # Starting new_bool_1 with 300s (1) cores
% 0.19/0.52  # Starting sh5l with 300s (1) cores
% 0.19/0.52  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.19/0.52  # Search class: FGHSM-FFMM31-MFFFFFNN
% 0.19/0.52  # Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.52  # Starting G-E--_107_C41_F1_PI_AE_CS_SP_PS_S4S with 23s (1) cores
% 0.19/0.52  # G-E--_107_C41_F1_PI_AE_CS_SP_PS_S4S with pid 25946 completed with status 0
% 0.19/0.52  # Result found by G-E--_107_C41_F1_PI_AE_CS_SP_PS_S4S
% 0.19/0.52  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.19/0.52  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.52  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.19/0.52  # Starting new_bool_3 with 300s (1) cores
% 0.19/0.52  # Starting new_bool_1 with 300s (1) cores
% 0.19/0.52  # Starting sh5l with 300s (1) cores
% 0.19/0.52  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.19/0.52  # Search class: FGHSM-FFMM31-MFFFFFNN
% 0.19/0.52  # Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.52  # Starting G-E--_107_C41_F1_PI_AE_CS_SP_PS_S4S with 23s (1) cores
% 0.19/0.52  # Preprocessing time       : 0.003 s
% 0.19/0.52  # Presaturation interreduction done
% 0.19/0.52  
% 0.19/0.52  # Proof found!
% 0.19/0.52  # SZS status Unsatisfiable
% 0.19/0.52  # SZS output start CNFRefutation
% See solution above
% 0.19/0.52  # Parsed axioms                        : 113
% 0.19/0.52  # Removed by relevancy pruning/SinE    : 14
% 0.19/0.52  # Initial clauses                      : 99
% 0.19/0.52  # Removed in clause preprocessing      : 0
% 0.19/0.52  # Initial clauses in saturation        : 99
% 0.19/0.52  # Processed clauses                    : 390
% 0.19/0.52  # ...of these trivial                  : 9
% 0.19/0.52  # ...subsumed                          : 57
% 0.19/0.52  # ...remaining for further processing  : 324
% 0.19/0.52  # Other redundant clauses eliminated   : 2
% 0.19/0.52  # Clauses deleted for lack of memory   : 0
% 0.19/0.52  # Backward-subsumed                    : 2
% 0.19/0.52  # Backward-rewritten                   : 9
% 0.19/0.52  # Generated clauses                    : 1162
% 0.19/0.52  # ...of the previous two non-redundant : 972
% 0.19/0.52  # ...aggressively subsumed             : 0
% 0.19/0.52  # Contextual simplify-reflections      : 1
% 0.19/0.52  # Paramodulations                      : 1158
% 0.19/0.52  # Factorizations                       : 0
% 0.19/0.52  # NegExts                              : 0
% 0.19/0.52  # Equation resolutions                 : 4
% 0.19/0.52  # Disequality decompositions           : 0
% 0.19/0.52  # Total rewrite steps                  : 320
% 0.19/0.52  # ...of those cached                   : 194
% 0.19/0.52  # Propositional unsat checks           : 0
% 0.19/0.52  #    Propositional check models        : 0
% 0.19/0.52  #    Propositional check unsatisfiable : 0
% 0.19/0.52  #    Propositional clauses             : 0
% 0.19/0.52  #    Propositional clauses after purity: 0
% 0.19/0.52  #    Propositional unsat core size     : 0
% 0.19/0.52  #    Propositional preprocessing time  : 0.000
% 0.19/0.52  #    Propositional encoding time       : 0.000
% 0.19/0.52  #    Propositional solver time         : 0.000
% 0.19/0.52  #    Success case prop preproc time    : 0.000
% 0.19/0.52  #    Success case prop encoding time   : 0.000
% 0.19/0.52  #    Success case prop solver time     : 0.000
% 0.19/0.52  # Current number of processed clauses  : 213
% 0.19/0.52  #    Positive orientable unit clauses  : 91
% 0.19/0.52  #    Positive unorientable unit clauses: 3
% 0.19/0.52  #    Negative unit clauses             : 1
% 0.19/0.52  #    Non-unit-clauses                  : 118
% 0.19/0.52  # Current number of unprocessed clauses: 775
% 0.19/0.52  # ...number of literals in the above   : 1560
% 0.19/0.52  # Current number of archived formulas  : 0
% 0.19/0.52  # Current number of archived clauses   : 109
% 0.19/0.52  # Clause-clause subsumption calls (NU) : 3221
% 0.19/0.52  # Rec. Clause-clause subsumption calls : 2809
% 0.19/0.52  # Non-unit clause-clause subsumptions  : 29
% 0.19/0.52  # Unit Clause-clause subsumption calls : 1011
% 0.19/0.52  # Rewrite failures with RHS unbound    : 18
% 0.19/0.52  # BW rewrite match attempts            : 69
% 0.19/0.52  # BW rewrite match successes           : 16
% 0.19/0.52  # Condensation attempts                : 0
% 0.19/0.52  # Condensation successes               : 0
% 0.19/0.52  # Termbank termtop insertions          : 18344
% 0.19/0.52  # Search garbage collected termcells   : 229
% 0.19/0.52  
% 0.19/0.52  # -------------------------------------------------
% 0.19/0.52  # User time                : 0.034 s
% 0.19/0.52  # System time              : 0.004 s
% 0.19/0.52  # Total time               : 0.038 s
% 0.19/0.52  # Maximum resident set size: 1892 pages
% 0.19/0.52  
% 0.19/0.52  # -------------------------------------------------
% 0.19/0.52  # User time                : 0.038 s
% 0.19/0.52  # System time              : 0.005 s
% 0.19/0.52  # Total time               : 0.043 s
% 0.19/0.52  # Maximum resident set size: 1788 pages
% 0.19/0.52  % E---3.1 exiting
%------------------------------------------------------------------------------