TSTP Solution File: SET204-6 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SET204-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n018.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 19:22:28 EDT 2023

% Result   : Timeout 597.44s 300.13s
% Output   : None 
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   14 (   7 unt;   0 nHn;  14 RR)
%            Number of literals    :   23 (   0 equ;  13 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :   24 (   8 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_cross_product_property2_2,negated_conjecture,
    ~ member(ordered_pair(v,u),cross_product(y,x)),
    file('/export/starexec/sandbox2/tmp/tmp.DvfTh1wYL3/E---3.1_16983.p',prove_cross_product_property2_2) ).

cnf(cartesian_product3,axiom,
    ( member(ordered_pair(X1,X3),cross_product(X2,X4))
    | ~ member(X1,X2)
    | ~ member(X3,X4) ),
    file('/export/starexec/sandbox2/tmp/tmp.DvfTh1wYL3/E---3.1_16983.p',cartesian_product3) ).

cnf(cartesian_product2,axiom,
    ( member(X2,X4)
    | ~ member(ordered_pair(X1,X2),cross_product(X3,X4)) ),
    file('/export/starexec/sandbox2/tmp/tmp.DvfTh1wYL3/E---3.1_16983.p',cartesian_product2) ).

cnf(prove_cross_product_property2_1,negated_conjecture,
    member(ordered_pair(u,v),cross_product(x,y)),
    file('/export/starexec/sandbox2/tmp/tmp.DvfTh1wYL3/E---3.1_16983.p',prove_cross_product_property2_1) ).

cnf(cartesian_product1,axiom,
    ( member(X1,X3)
    | ~ member(ordered_pair(X1,X2),cross_product(X3,X4)) ),
    file('/export/starexec/sandbox2/tmp/tmp.DvfTh1wYL3/E---3.1_16983.p',cartesian_product1) ).

cnf(c_0_5,negated_conjecture,
    ~ member(ordered_pair(v,u),cross_product(y,x)),
    prove_cross_product_property2_2 ).

cnf(c_0_6,axiom,
    ( member(ordered_pair(X1,X3),cross_product(X2,X4))
    | ~ member(X1,X2)
    | ~ member(X3,X4) ),
    cartesian_product3 ).

cnf(c_0_7,axiom,
    ( member(X2,X4)
    | ~ member(ordered_pair(X1,X2),cross_product(X3,X4)) ),
    cartesian_product2 ).

cnf(c_0_8,negated_conjecture,
    member(ordered_pair(u,v),cross_product(x,y)),
    prove_cross_product_property2_1 ).

cnf(c_0_9,negated_conjecture,
    ( ~ member(u,x)
    | ~ member(v,y) ),
    inference(spm,[status(thm)],[c_0_5,c_0_6]) ).

cnf(c_0_10,negated_conjecture,
    member(v,y),
    inference(spm,[status(thm)],[c_0_7,c_0_8]) ).

cnf(c_0_11,axiom,
    ( member(X1,X3)
    | ~ member(ordered_pair(X1,X2),cross_product(X3,X4)) ),
    cartesian_product1 ).

cnf(c_0_12,negated_conjecture,
    ~ member(u,x),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_10])]) ).

cnf(c_0_13,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_8]),c_0_12]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10  % Problem    : SET204-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.05/0.11  % Command    : run_E %s %d THM
% 0.11/0.31  % Computer : n018.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit   : 2400
% 0.11/0.31  % WCLimit    : 300
% 0.11/0.31  % DateTime   : Mon Oct  2 17:51:39 EDT 2023
% 0.11/0.31  % CPUTime    : 
% 0.16/0.43  Running first-order model finding
% 0.16/0.43  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.DvfTh1wYL3/E---3.1_16983.p
% 597.44/300.13  # Version: 3.1pre001
% 597.44/300.13  # Preprocessing class: FSLSSMSMSSSNFFN.
% 597.44/300.13  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 597.44/300.13  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 597.44/300.13  # Starting new_bool_3 with 300s (1) cores
% 597.44/300.13  # Starting new_bool_1 with 300s (1) cores
% 597.44/300.13  # Starting sh5l with 300s (1) cores
% 597.44/300.13  # new_bool_1 with pid 17062 completed with status 0
% 597.44/300.13  # Result found by new_bool_1
% 597.44/300.13  # Preprocessing class: FSLSSMSMSSSNFFN.
% 597.44/300.13  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 597.44/300.13  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 597.44/300.13  # Starting new_bool_3 with 300s (1) cores
% 597.44/300.13  # Starting new_bool_1 with 300s (1) cores
% 597.44/300.13  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 597.44/300.13  # Search class: FHUNF-FFSF22-SFFFFFNN
% 597.44/300.13  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 597.44/300.13  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 597.44/300.13  # SAT001_MinMin_p005000_rr_RG with pid 17065 completed with status 0
% 597.44/300.13  # Result found by SAT001_MinMin_p005000_rr_RG
% 597.44/300.13  # Preprocessing class: FSLSSMSMSSSNFFN.
% 597.44/300.13  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 597.44/300.13  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 597.44/300.13  # Starting new_bool_3 with 300s (1) cores
% 597.44/300.13  # Starting new_bool_1 with 300s (1) cores
% 597.44/300.13  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 597.44/300.13  # Search class: FHUNF-FFSF22-SFFFFFNN
% 597.44/300.13  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 597.44/300.13  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 597.44/300.13  # Preprocessing time       : 0.003 s
% 597.44/300.13  # Presaturation interreduction done
% 597.44/300.13  
% 597.44/300.13  # Proof found!
% 597.44/300.13  # SZS status Unsatisfiable
% 597.44/300.13  # SZS output start CNFRefutation
% See solution above
% 597.44/300.13  # Parsed axioms                        : 114
% 597.44/300.13  # Removed by relevancy pruning/SinE    : 109
% 597.44/300.13  # Initial clauses                      : 5
% 597.44/300.13  # Removed in clause preprocessing      : 0
% 597.44/300.13  # Initial clauses in saturation        : 5
% 597.44/300.13  # Processed clauses                    : 14
% 597.44/300.13  # ...of these trivial                  : 0
% 597.44/300.13  # ...subsumed                          : 0
% 597.44/300.13  # ...remaining for further processing  : 13
% 597.44/300.13  # Other redundant clauses eliminated   : 0
% 597.44/300.13  # Clauses deleted for lack of memory   : 0
% 597.44/300.13  # Backward-subsumed                    : 0
% 597.44/300.13  # Backward-rewritten                   : 1
% 597.44/300.13  # Generated clauses                    : 5
% 597.44/300.13  # ...of the previous two non-redundant : 4
% 597.44/300.13  # ...aggressively subsumed             : 0
% 597.44/300.13  # Contextual simplify-reflections      : 0
% 597.44/300.13  # Paramodulations                      : 5
% 597.44/300.13  # Factorizations                       : 0
% 597.44/300.13  # NegExts                              : 0
% 597.44/300.13  # Equation resolutions                 : 0
% 597.44/300.13  # Total rewrite steps                  : 1
% 597.44/300.13  # Propositional unsat checks           : 0
% 597.44/300.13  #    Propositional check models        : 0
% 597.44/300.13  #    Propositional check unsatisfiable : 0
% 597.44/300.13  #    Propositional clauses             : 0
% 597.44/300.13  #    Propositional clauses after purity: 0
% 597.44/300.13  #    Propositional unsat core size     : 0
% 597.44/300.13  #    Propositional preprocessing time  : 0.000
% 597.44/300.13  #    Propositional encoding time       : 0.000
% 597.44/300.13  #    Propositional solver time         : 0.000
% 597.44/300.13  #    Success case prop preproc time    : 0.000
% 597.44/300.13  #    Success case prop encoding time   : 0.000
% 597.44/300.13  #    Success case prop solver time     : 0.000
% 597.44/300.13  # Current number of processed clauses  : 7
% 597.44/300.13  #    Positive orientable unit clauses  : 2
% 597.44/300.13  #    Positive unorientable unit clauses: 0
% 597.44/300.13  #    Negative unit clauses             : 2
% 597.44/300.13  #    Non-unit-clauses                  : 3
% 597.44/300.13  # Current number of unprocessed clauses: 0
% 597.44/300.13  # ...number of literals in the above   : 0
% 597.44/300.13  # Current number of archived formulas  : 0
% 597.44/300.13  # Current number of archived clauses   : 6
% 597.44/300.13  # Clause-clause subsumption calls (NU) : 4
% 597.44/300.13  # Rec. Clause-clause subsumption calls : 4
% 597.44/300.13  # Non-unit clause-clause subsumptions  : 0
% 597.44/300.13  # Unit Clause-clause subsumption calls : 1
% 597.44/300.13  # Rewrite failures with RHS unbound    : 0
% 597.44/300.13  # BW rewrite match attempts            : 1
% 597.44/300.13  # BW rewrite match successes           : 1
% 597.44/300.13  # Condensation attempts                : 0
% 597.44/300.13  # Condensation successes               : 0
% 597.44/300.13  # Termbank termtop insertions          : 1075
% 597.44/300.13  
% 597.44/300.13  # -------------------------------------------------
% 597.44/300.13  # User time                : 0.003 s
% 597.44/300.13  # System time              : 0.002 s
% 597.44/300.13  # Total time               : 0.005 s
% 597.44/300.13  # Maximum resident set size: 1888 pages
% 597.44/300.13  
% 597.44/300.13  # -------------------------------------------------
% 597.44/300.13  # User time                : 0.008 s
% 597.44/300.13  # System time              : 0.002 s
% 597.44/300.13  # Total time               : 0.010 s
% 597.44/300.13  # Maximum resident set size: 1776 pages
% 597.44/300.13  % E---3.1 exiting
%------------------------------------------------------------------------------