TSTP Solution File: REL003-1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : REL003-1 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n025.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 : Tue May 21 02:31:19 EDT 2024

% Result   : Unsatisfiable 0.23s 0.53s
% Output   : CNFRefutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   17 (   8 unt;   4 nHn;  11 RR)
%            Number of literals    :   26 (  25 equ;  10 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   10 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(goals_17,negated_conjecture,
    ( join(sk1,sk2) != sk2
    | join(converse(sk1),converse(sk2)) != converse(sk2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_17) ).

cnf(goals_14,negated_conjecture,
    ( join(sk1,sk2) = sk2
    | join(converse(sk1),converse(sk2)) = converse(sk2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_14) ).

cnf(converse_additivity_9,axiom,
    converse(join(X1,X2)) = join(converse(X1),converse(X2)),
    file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',converse_additivity_9) ).

cnf(maddux1_join_commutativity_1,axiom,
    join(X1,X2) = join(X2,X1),
    file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',maddux1_join_commutativity_1) ).

cnf(converse_idempotence_8,axiom,
    converse(converse(X1)) = X1,
    file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',converse_idempotence_8) ).

cnf(c_0_5,negated_conjecture,
    ( join(sk1,sk2) != sk2
    | join(converse(sk1),converse(sk2)) != converse(sk2) ),
    inference(fof_simplification,[status(thm)],[goals_17]) ).

cnf(c_0_6,negated_conjecture,
    ( join(sk1,sk2) = sk2
    | join(converse(sk1),converse(sk2)) = converse(sk2) ),
    goals_14 ).

cnf(c_0_7,axiom,
    converse(join(X1,X2)) = join(converse(X1),converse(X2)),
    converse_additivity_9 ).

cnf(c_0_8,negated_conjecture,
    ( join(sk1,sk2) != sk2
    | join(converse(sk1),converse(sk2)) != converse(sk2) ),
    c_0_5 ).

cnf(c_0_9,negated_conjecture,
    ( converse(join(sk1,sk2)) = converse(sk2)
    | join(sk1,sk2) = sk2 ),
    inference(rw,[status(thm)],[c_0_6,c_0_7]) ).

cnf(c_0_10,axiom,
    join(X1,X2) = join(X2,X1),
    maddux1_join_commutativity_1 ).

cnf(c_0_11,negated_conjecture,
    ( converse(join(sk1,sk2)) != converse(sk2)
    | join(sk1,sk2) != sk2 ),
    inference(rw,[status(thm)],[c_0_8,c_0_7]) ).

cnf(c_0_12,axiom,
    converse(converse(X1)) = X1,
    converse_idempotence_8 ).

cnf(c_0_13,negated_conjecture,
    ( converse(join(sk2,sk1)) = converse(sk2)
    | join(sk2,sk1) = sk2 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_10]),c_0_10]) ).

cnf(c_0_14,negated_conjecture,
    ( converse(join(sk2,sk1)) != converse(sk2)
    | join(sk2,sk1) != sk2 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_10]),c_0_10]) ).

cnf(c_0_15,negated_conjecture,
    join(sk2,sk1) = sk2,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_12])]) ).

cnf(c_0_16,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_15]),c_0_15])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.14  % Problem    : REL003-1 : TPTP v8.2.0. Released v4.0.0.
% 0.09/0.15  % Command    : run_E %s %d THM
% 0.15/0.37  % Computer : n025.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit   : 300
% 0.15/0.37  % WCLimit    : 300
% 0.15/0.37  % DateTime   : Mon May 20 08:09:53 EDT 2024
% 0.15/0.37  % CPUTime    : 
% 0.23/0.52  Running first-order theorem proving
% 0.23/0.52  Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 0.23/0.53  # Version: 3.1.0
% 0.23/0.53  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.23/0.53  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.53  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.23/0.53  # Starting new_bool_3 with 300s (1) cores
% 0.23/0.53  # Starting new_bool_1 with 300s (1) cores
% 0.23/0.53  # Starting sh5l with 300s (1) cores
% 0.23/0.53  # new_bool_1 with pid 20791 completed with status 0
% 0.23/0.53  # Result found by new_bool_1
% 0.23/0.53  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.23/0.53  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.53  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.23/0.53  # Starting new_bool_3 with 300s (1) cores
% 0.23/0.53  # Starting new_bool_1 with 300s (1) cores
% 0.23/0.53  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.23/0.53  # Search class: FGHPM-FFSF21-MFFFFFNN
% 0.23/0.53  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.23/0.53  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.23/0.53  # SAT001_MinMin_p005000_rr_RG with pid 20794 completed with status 0
% 0.23/0.53  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.23/0.53  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.23/0.53  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.53  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.23/0.53  # Starting new_bool_3 with 300s (1) cores
% 0.23/0.53  # Starting new_bool_1 with 300s (1) cores
% 0.23/0.53  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.23/0.53  # Search class: FGHPM-FFSF21-MFFFFFNN
% 0.23/0.53  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.23/0.53  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.23/0.53  # Preprocessing time       : 0.001 s
% 0.23/0.53  # Presaturation interreduction done
% 0.23/0.53  
% 0.23/0.53  # Proof found!
% 0.23/0.53  # SZS status Unsatisfiable
% 0.23/0.53  # SZS output start CNFRefutation
% See solution above
% 0.23/0.53  # Parsed axioms                        : 15
% 0.23/0.53  # Removed by relevancy pruning/SinE    : 4
% 0.23/0.53  # Initial clauses                      : 11
% 0.23/0.53  # Removed in clause preprocessing      : 0
% 0.23/0.53  # Initial clauses in saturation        : 11
% 0.23/0.53  # Processed clauses                    : 24
% 0.23/0.53  # ...of these trivial                  : 0
% 0.23/0.53  # ...subsumed                          : 0
% 0.23/0.53  # ...remaining for further processing  : 24
% 0.23/0.53  # Other redundant clauses eliminated   : 0
% 0.23/0.53  # Clauses deleted for lack of memory   : 0
% 0.23/0.53  # Backward-subsumed                    : 0
% 0.23/0.53  # Backward-rewritten                   : 6
% 0.23/0.53  # Generated clauses                    : 21
% 0.23/0.53  # ...of the previous two non-redundant : 21
% 0.23/0.53  # ...aggressively subsumed             : 0
% 0.23/0.53  # Contextual simplify-reflections      : 0
% 0.23/0.53  # Paramodulations                      : 21
% 0.23/0.53  # Factorizations                       : 0
% 0.23/0.53  # NegExts                              : 0
% 0.23/0.53  # Equation resolutions                 : 0
% 0.23/0.53  # Disequality decompositions           : 0
% 0.23/0.53  # Total rewrite steps                  : 27
% 0.23/0.53  # ...of those cached                   : 7
% 0.23/0.53  # Propositional unsat checks           : 0
% 0.23/0.53  #    Propositional check models        : 0
% 0.23/0.53  #    Propositional check unsatisfiable : 0
% 0.23/0.53  #    Propositional clauses             : 0
% 0.23/0.53  #    Propositional clauses after purity: 0
% 0.23/0.53  #    Propositional unsat core size     : 0
% 0.23/0.53  #    Propositional preprocessing time  : 0.000
% 0.23/0.53  #    Propositional encoding time       : 0.000
% 0.23/0.53  #    Propositional solver time         : 0.000
% 0.23/0.53  #    Success case prop preproc time    : 0.000
% 0.23/0.53  #    Success case prop encoding time   : 0.000
% 0.23/0.53  #    Success case prop solver time     : 0.000
% 0.23/0.53  # Current number of processed clauses  : 7
% 0.23/0.53  #    Positive orientable unit clauses  : 6
% 0.23/0.53  #    Positive unorientable unit clauses: 1
% 0.23/0.53  #    Negative unit clauses             : 0
% 0.23/0.53  #    Non-unit-clauses                  : 0
% 0.23/0.53  # Current number of unprocessed clauses: 19
% 0.23/0.53  # ...number of literals in the above   : 23
% 0.23/0.53  # Current number of archived formulas  : 0
% 0.23/0.53  # Current number of archived clauses   : 17
% 0.23/0.53  # Clause-clause subsumption calls (NU) : 0
% 0.23/0.53  # Rec. Clause-clause subsumption calls : 0
% 0.23/0.53  # Non-unit clause-clause subsumptions  : 0
% 0.23/0.53  # Unit Clause-clause subsumption calls : 2
% 0.23/0.53  # Rewrite failures with RHS unbound    : 0
% 0.23/0.53  # BW rewrite match attempts            : 10
% 0.23/0.53  # BW rewrite match successes           : 10
% 0.23/0.53  # Condensation attempts                : 0
% 0.23/0.53  # Condensation successes               : 0
% 0.23/0.53  # Termbank termtop insertions          : 502
% 0.23/0.53  # Search garbage collected termcells   : 14
% 0.23/0.53  
% 0.23/0.53  # -------------------------------------------------
% 0.23/0.53  # User time                : 0.004 s
% 0.23/0.53  # System time              : 0.001 s
% 0.23/0.53  # Total time               : 0.005 s
% 0.23/0.53  # Maximum resident set size: 1640 pages
% 0.23/0.53  
% 0.23/0.53  # -------------------------------------------------
% 0.23/0.53  # User time                : 0.004 s
% 0.23/0.53  # System time              : 0.004 s
% 0.23/0.53  # Total time               : 0.009 s
% 0.23/0.53  # Maximum resident set size: 1704 pages
% 0.23/0.53  % E---3.1 exiting
% 0.23/0.53  % E exiting
%------------------------------------------------------------------------------