TSTP Solution File: SET027-6 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SET027-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n031.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 19:21:43 EDT 2023

% Result   : Unsatisfiable 0.14s 0.42s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   17 (   7 unt;   2 nHn;  15 RR)
%            Number of literals    :   29 (   0 equ;  12 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   18 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(subclass_members,axiom,
    ( member(X3,X2)
    | ~ subclass(X1,X2)
    | ~ member(X3,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.2UGuujrihu/E---3.1_6210.p',subclass_members) ).

cnf(prove_transitivity_of_subclass_2,negated_conjecture,
    subclass(y,z),
    file('/export/starexec/sandbox/tmp/tmp.2UGuujrihu/E---3.1_6210.p',prove_transitivity_of_subclass_2) ).

cnf(not_subclass_members2,axiom,
    ( subclass(X1,X2)
    | ~ member(not_subclass_element(X1,X2),X2) ),
    file('/export/starexec/sandbox/tmp/tmp.2UGuujrihu/E---3.1_6210.p',not_subclass_members2) ).

cnf(prove_transitivity_of_subclass_1,negated_conjecture,
    subclass(x,y),
    file('/export/starexec/sandbox/tmp/tmp.2UGuujrihu/E---3.1_6210.p',prove_transitivity_of_subclass_1) ).

cnf(not_subclass_members1,axiom,
    ( member(not_subclass_element(X1,X2),X1)
    | subclass(X1,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.2UGuujrihu/E---3.1_6210.p',not_subclass_members1) ).

cnf(prove_transitivity_of_subclass_3,negated_conjecture,
    ~ subclass(x,z),
    file('/export/starexec/sandbox/tmp/tmp.2UGuujrihu/E---3.1_6210.p',prove_transitivity_of_subclass_3) ).

cnf(c_0_6,axiom,
    ( member(X3,X2)
    | ~ subclass(X1,X2)
    | ~ member(X3,X1) ),
    subclass_members ).

cnf(c_0_7,negated_conjecture,
    subclass(y,z),
    prove_transitivity_of_subclass_2 ).

cnf(c_0_8,axiom,
    ( subclass(X1,X2)
    | ~ member(not_subclass_element(X1,X2),X2) ),
    not_subclass_members2 ).

cnf(c_0_9,negated_conjecture,
    ( member(X1,z)
    | ~ member(X1,y) ),
    inference(spm,[status(thm)],[c_0_6,c_0_7]) ).

cnf(c_0_10,negated_conjecture,
    subclass(x,y),
    prove_transitivity_of_subclass_1 ).

cnf(c_0_11,negated_conjecture,
    ( subclass(X1,z)
    | ~ member(not_subclass_element(X1,z),y) ),
    inference(spm,[status(thm)],[c_0_8,c_0_9]) ).

cnf(c_0_12,negated_conjecture,
    ( member(X1,y)
    | ~ member(X1,x) ),
    inference(spm,[status(thm)],[c_0_6,c_0_10]) ).

cnf(c_0_13,negated_conjecture,
    ( subclass(X1,z)
    | ~ member(not_subclass_element(X1,z),x) ),
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_14,axiom,
    ( member(not_subclass_element(X1,X2),X1)
    | subclass(X1,X2) ),
    not_subclass_members1 ).

cnf(c_0_15,negated_conjecture,
    ~ subclass(x,z),
    prove_transitivity_of_subclass_3 ).

cnf(c_0_16,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem    : SET027-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.08/0.09  % Command    : run_E %s %d THM
% 0.09/0.29  % Computer : n031.cluster.edu
% 0.09/0.29  % Model    : x86_64 x86_64
% 0.09/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29  % Memory   : 8042.1875MB
% 0.09/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29  % CPULimit   : 2400
% 0.09/0.29  % WCLimit    : 300
% 0.09/0.29  % DateTime   : Mon Oct  2 17:13:43 EDT 2023
% 0.09/0.29  % CPUTime    : 
% 0.14/0.39  Running first-order model finding
% 0.14/0.39  Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.2UGuujrihu/E---3.1_6210.p
% 0.14/0.42  # Version: 3.1pre001
% 0.14/0.42  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.14/0.42  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.42  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.14/0.42  # Starting new_bool_3 with 300s (1) cores
% 0.14/0.42  # Starting new_bool_1 with 300s (1) cores
% 0.14/0.42  # Starting sh5l with 300s (1) cores
% 0.14/0.42  # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 6287 completed with status 0
% 0.14/0.42  # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.14/0.42  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.14/0.42  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.42  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.14/0.42  # No SInE strategy applied
% 0.14/0.42  # Search class: FGHSM-FFLM31-DFFFFFNN
% 0.14/0.42  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/0.42  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 313s (1) cores
% 0.14/0.42  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.14/0.42  # Starting new_bool_1 with 308s (1) cores
% 0.14/0.42  # Starting sh5l with 304s (1) cores
% 0.14/0.42  # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.14/0.42  # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 6295 completed with status 0
% 0.14/0.42  # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.14/0.42  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.14/0.42  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.42  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.14/0.42  # No SInE strategy applied
% 0.14/0.42  # Search class: FGHSM-FFLM31-DFFFFFNN
% 0.14/0.42  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/0.42  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 313s (1) cores
% 0.14/0.42  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.14/0.42  # Preprocessing time       : 0.002 s
% 0.14/0.42  # Presaturation interreduction done
% 0.14/0.42  
% 0.14/0.42  # Proof found!
% 0.14/0.42  # SZS status Unsatisfiable
% 0.14/0.42  # SZS output start CNFRefutation
% See solution above
% 0.14/0.42  # Parsed axioms                        : 94
% 0.14/0.42  # Removed by relevancy pruning/SinE    : 0
% 0.14/0.42  # Initial clauses                      : 94
% 0.14/0.42  # Removed in clause preprocessing      : 15
% 0.14/0.42  # Initial clauses in saturation        : 79
% 0.14/0.42  # Processed clauses                    : 134
% 0.14/0.42  # ...of these trivial                  : 0
% 0.14/0.42  # ...subsumed                          : 0
% 0.14/0.42  # ...remaining for further processing  : 134
% 0.14/0.42  # Other redundant clauses eliminated   : 3
% 0.14/0.42  # Clauses deleted for lack of memory   : 0
% 0.14/0.42  # Backward-subsumed                    : 0
% 0.14/0.42  # Backward-rewritten                   : 0
% 0.14/0.42  # Generated clauses                    : 51
% 0.14/0.42  # ...of the previous two non-redundant : 45
% 0.14/0.42  # ...aggressively subsumed             : 0
% 0.14/0.42  # Contextual simplify-reflections      : 0
% 0.14/0.42  # Paramodulations                      : 48
% 0.14/0.42  # Factorizations                       : 0
% 0.14/0.42  # NegExts                              : 0
% 0.14/0.42  # Equation resolutions                 : 3
% 0.14/0.42  # Total rewrite steps                  : 4
% 0.14/0.42  # Propositional unsat checks           : 0
% 0.14/0.42  #    Propositional check models        : 0
% 0.14/0.42  #    Propositional check unsatisfiable : 0
% 0.14/0.42  #    Propositional clauses             : 0
% 0.14/0.42  #    Propositional clauses after purity: 0
% 0.14/0.42  #    Propositional unsat core size     : 0
% 0.14/0.42  #    Propositional preprocessing time  : 0.000
% 0.14/0.42  #    Propositional encoding time       : 0.000
% 0.14/0.42  #    Propositional solver time         : 0.000
% 0.14/0.42  #    Success case prop preproc time    : 0.000
% 0.14/0.42  #    Success case prop encoding time   : 0.000
% 0.14/0.42  #    Success case prop solver time     : 0.000
% 0.14/0.42  # Current number of processed clauses  : 53
% 0.14/0.42  #    Positive orientable unit clauses  : 13
% 0.14/0.42  #    Positive unorientable unit clauses: 0
% 0.14/0.42  #    Negative unit clauses             : 1
% 0.14/0.42  #    Non-unit-clauses                  : 39
% 0.14/0.42  # Current number of unprocessed clauses: 68
% 0.14/0.42  # ...number of literals in the above   : 165
% 0.14/0.42  # Current number of archived formulas  : 0
% 0.14/0.42  # Current number of archived clauses   : 93
% 0.14/0.42  # Clause-clause subsumption calls (NU) : 1398
% 0.14/0.42  # Rec. Clause-clause subsumption calls : 681
% 0.14/0.42  # Non-unit clause-clause subsumptions  : 0
% 0.14/0.42  # Unit Clause-clause subsumption calls : 6
% 0.14/0.42  # Rewrite failures with RHS unbound    : 0
% 0.14/0.42  # BW rewrite match attempts            : 9
% 0.14/0.42  # BW rewrite match successes           : 1
% 0.14/0.42  # Condensation attempts                : 0
% 0.14/0.42  # Condensation successes               : 0
% 0.14/0.42  # Termbank termtop insertions          : 6069
% 0.14/0.42  
% 0.14/0.42  # -------------------------------------------------
% 0.14/0.42  # User time                : 0.012 s
% 0.14/0.42  # System time              : 0.003 s
% 0.14/0.42  # Total time               : 0.015 s
% 0.14/0.42  # Maximum resident set size: 1940 pages
% 0.14/0.42  
% 0.14/0.42  # -------------------------------------------------
% 0.14/0.42  # User time                : 0.059 s
% 0.14/0.42  # System time              : 0.007 s
% 0.14/0.42  # Total time               : 0.066 s
% 0.14/0.42  # Maximum resident set size: 1756 pages
% 0.14/0.42  % E---3.1 exiting
%------------------------------------------------------------------------------