TSTP Solution File: SET252-6 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SET252-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n029.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 19:22:33 EDT 2023

% Result   : Unsatisfiable 0.44s 0.57s
% Output   : CNFRefutation 0.44s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   14 (   7 unt;   3 nHn;   8 RR)
%            Number of literals    :   21 (   2 equ;   7 neg)
%            Maximal clause size   :    2 (   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;   3 con; 0-3 aty)
%            Number of variables   :   25 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(intersection1,axiom,
    ( member(X1,X2)
    | ~ member(X1,intersection(X2,X3)) ),
    file('/export/starexec/sandbox/tmp/tmp.VfGDvOK4hi/E---3.1_23418.p',intersection1) ).

cnf(not_subclass_members1,axiom,
    ( member(not_subclass_element(X1,X2),X1)
    | subclass(X1,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.VfGDvOK4hi/E---3.1_23418.p',not_subclass_members1) ).

cnf(prove_restriction_property3_1,negated_conjecture,
    ~ subclass(restrict(x,y,z),x),
    file('/export/starexec/sandbox/tmp/tmp.VfGDvOK4hi/E---3.1_23418.p',prove_restriction_property3_1) ).

cnf(restriction1,axiom,
    intersection(X1,cross_product(X2,X3)) = restrict(X1,X2,X3),
    file('/export/starexec/sandbox/tmp/tmp.VfGDvOK4hi/E---3.1_23418.p',restriction1) ).

cnf(not_subclass_members2,axiom,
    ( subclass(X1,X2)
    | ~ member(not_subclass_element(X1,X2),X2) ),
    file('/export/starexec/sandbox/tmp/tmp.VfGDvOK4hi/E---3.1_23418.p',not_subclass_members2) ).

cnf(c_0_5,axiom,
    ( member(X1,X2)
    | ~ member(X1,intersection(X2,X3)) ),
    intersection1 ).

cnf(c_0_6,axiom,
    ( member(not_subclass_element(X1,X2),X1)
    | subclass(X1,X2) ),
    not_subclass_members1 ).

cnf(c_0_7,negated_conjecture,
    ~ subclass(restrict(x,y,z),x),
    prove_restriction_property3_1 ).

cnf(c_0_8,axiom,
    intersection(X1,cross_product(X2,X3)) = restrict(X1,X2,X3),
    restriction1 ).

cnf(c_0_9,axiom,
    ( subclass(X1,X2)
    | ~ member(not_subclass_element(X1,X2),X2) ),
    not_subclass_members2 ).

cnf(c_0_10,plain,
    ( member(not_subclass_element(intersection(X1,X2),X3),X1)
    | subclass(intersection(X1,X2),X3) ),
    inference(spm,[status(thm)],[c_0_5,c_0_6]) ).

cnf(c_0_11,negated_conjecture,
    ~ subclass(intersection(x,cross_product(y,z)),x),
    inference(rw,[status(thm)],[c_0_7,c_0_8]) ).

cnf(c_0_12,plain,
    subclass(intersection(X1,X2),X1),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_13,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_12])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14  % Problem    : SET252-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.13/0.15  % Command    : run_E %s %d THM
% 0.16/0.37  % Computer : n029.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit   : 2400
% 0.16/0.37  % WCLimit    : 300
% 0.16/0.37  % DateTime   : Mon Oct  2 16:47:37 EDT 2023
% 0.16/0.37  % CPUTime    : 
% 0.23/0.53  Running first-order model finding
% 0.23/0.53  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.VfGDvOK4hi/E---3.1_23418.p
% 0.44/0.57  # Version: 3.1pre001
% 0.44/0.57  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.44/0.57  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.44/0.57  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.44/0.57  # Starting new_bool_3 with 300s (1) cores
% 0.44/0.57  # Starting new_bool_1 with 300s (1) cores
% 0.44/0.57  # Starting sh5l with 300s (1) cores
% 0.44/0.57  # sh5l with pid 23498 completed with status 0
% 0.44/0.57  # Result found by sh5l
% 0.44/0.57  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.44/0.57  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.44/0.57  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.44/0.57  # Starting new_bool_3 with 300s (1) cores
% 0.44/0.57  # Starting new_bool_1 with 300s (1) cores
% 0.44/0.57  # Starting sh5l with 300s (1) cores
% 0.44/0.57  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.44/0.57  # Search class: FGHSM-FFMM31-MFFFFFNN
% 0.44/0.57  # Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 0.44/0.57  # Starting G-E--_107_C41_F1_PI_AE_CS_SP_PS_S4S with 23s (1) cores
% 0.44/0.57  # G-E--_107_C41_F1_PI_AE_CS_SP_PS_S4S with pid 23501 completed with status 0
% 0.44/0.57  # Result found by G-E--_107_C41_F1_PI_AE_CS_SP_PS_S4S
% 0.44/0.57  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.44/0.57  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.44/0.57  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.44/0.57  # Starting new_bool_3 with 300s (1) cores
% 0.44/0.57  # Starting new_bool_1 with 300s (1) cores
% 0.44/0.57  # Starting sh5l with 300s (1) cores
% 0.44/0.57  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.44/0.57  # Search class: FGHSM-FFMM31-MFFFFFNN
% 0.44/0.57  # Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 0.44/0.57  # Starting G-E--_107_C41_F1_PI_AE_CS_SP_PS_S4S with 23s (1) cores
% 0.44/0.57  # Preprocessing time       : 0.007 s
% 0.44/0.57  # Presaturation interreduction done
% 0.44/0.57  
% 0.44/0.57  # Proof found!
% 0.44/0.57  # SZS status Unsatisfiable
% 0.44/0.57  # SZS output start CNFRefutation
% See solution above
% 0.44/0.57  # Parsed axioms                        : 113
% 0.44/0.57  # Removed by relevancy pruning/SinE    : 14
% 0.44/0.57  # Initial clauses                      : 99
% 0.44/0.57  # Removed in clause preprocessing      : 0
% 0.44/0.57  # Initial clauses in saturation        : 99
% 0.44/0.57  # Processed clauses                    : 285
% 0.44/0.57  # ...of these trivial                  : 5
% 0.44/0.57  # ...subsumed                          : 11
% 0.44/0.57  # ...remaining for further processing  : 269
% 0.44/0.57  # Other redundant clauses eliminated   : 2
% 0.44/0.57  # Clauses deleted for lack of memory   : 0
% 0.44/0.57  # Backward-subsumed                    : 0
% 0.44/0.57  # Backward-rewritten                   : 9
% 0.44/0.57  # Generated clauses                    : 582
% 0.44/0.57  # ...of the previous two non-redundant : 531
% 0.44/0.57  # ...aggressively subsumed             : 0
% 0.44/0.57  # Contextual simplify-reflections      : 0
% 0.44/0.57  # Paramodulations                      : 578
% 0.44/0.57  # Factorizations                       : 0
% 0.44/0.57  # NegExts                              : 0
% 0.44/0.57  # Equation resolutions                 : 4
% 0.44/0.57  # Total rewrite steps                  : 89
% 0.44/0.57  # Propositional unsat checks           : 0
% 0.44/0.57  #    Propositional check models        : 0
% 0.44/0.57  #    Propositional check unsatisfiable : 0
% 0.44/0.57  #    Propositional clauses             : 0
% 0.44/0.57  #    Propositional clauses after purity: 0
% 0.44/0.57  #    Propositional unsat core size     : 0
% 0.44/0.57  #    Propositional preprocessing time  : 0.000
% 0.44/0.57  #    Propositional encoding time       : 0.000
% 0.44/0.57  #    Propositional solver time         : 0.000
% 0.44/0.57  #    Success case prop preproc time    : 0.000
% 0.44/0.57  #    Success case prop encoding time   : 0.000
% 0.44/0.57  #    Success case prop solver time     : 0.000
% 0.44/0.57  # Current number of processed clauses  : 160
% 0.44/0.57  #    Positive orientable unit clauses  : 56
% 0.44/0.57  #    Positive unorientable unit clauses: 1
% 0.44/0.57  #    Negative unit clauses             : 0
% 0.44/0.57  #    Non-unit-clauses                  : 103
% 0.44/0.57  # Current number of unprocessed clauses: 443
% 0.44/0.57  # ...number of literals in the above   : 944
% 0.44/0.57  # Current number of archived formulas  : 0
% 0.44/0.57  # Current number of archived clauses   : 107
% 0.44/0.57  # Clause-clause subsumption calls (NU) : 2654
% 0.44/0.57  # Rec. Clause-clause subsumption calls : 2330
% 0.44/0.57  # Non-unit clause-clause subsumptions  : 11
% 0.44/0.57  # Unit Clause-clause subsumption calls : 568
% 0.44/0.57  # Rewrite failures with RHS unbound    : 0
% 0.44/0.57  # BW rewrite match attempts            : 52
% 0.44/0.57  # BW rewrite match successes           : 14
% 0.44/0.57  # Condensation attempts                : 0
% 0.44/0.57  # Condensation successes               : 0
% 0.44/0.57  # Termbank termtop insertions          : 10911
% 0.44/0.57  
% 0.44/0.57  # -------------------------------------------------
% 0.44/0.57  # User time                : 0.021 s
% 0.44/0.57  # System time              : 0.007 s
% 0.44/0.57  # Total time               : 0.028 s
% 0.44/0.57  # Maximum resident set size: 1960 pages
% 0.44/0.57  
% 0.44/0.57  # -------------------------------------------------
% 0.44/0.57  # User time                : 0.026 s
% 0.44/0.57  # System time              : 0.007 s
% 0.44/0.57  # Total time               : 0.034 s
% 0.44/0.57  # Maximum resident set size: 1772 pages
% 0.44/0.57  % E---3.1 exiting
%------------------------------------------------------------------------------