TSTP Solution File: SET025-3 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : SET025-3 : TPTP v8.2.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n028.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 02:57:02 EDT 2024

% Result   : Unsatisfiable 0.16s 0.46s
% Output   : CNFRefutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of clauses     :   12 (  12 unt;   0 nHn;   5 RR)
%            Number of literals    :   12 (   5 equ;   4 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    3 (   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   :   12 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_ordered_pairs_are_small,negated_conjecture,
    ~ little_set(ordered_pair(a,b)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ordered_pairs_are_small) ).

cnf(ordered_pair,axiom,
    ordered_pair(X1,X2) = non_ordered_pair(singleton_set(X1),non_ordered_pair(X1,X2)),
    file('/export/starexec/sandbox/benchmark/Axioms/SET003-0.ax',ordered_pair) ).

cnf(singleton_set,axiom,
    singleton_set(X1) = non_ordered_pair(X1,X1),
    file('/export/starexec/sandbox/benchmark/Axioms/SET003-0.ax',singleton_set) ).

cnf(non_ordered_pair4,axiom,
    little_set(non_ordered_pair(X1,X2)),
    file('/export/starexec/sandbox/benchmark/Axioms/SET003-0.ax',non_ordered_pair4) ).

cnf(c_0_4,negated_conjecture,
    ~ little_set(ordered_pair(a,b)),
    inference(fof_simplification,[status(thm)],[prove_ordered_pairs_are_small]) ).

cnf(c_0_5,axiom,
    ordered_pair(X1,X2) = non_ordered_pair(singleton_set(X1),non_ordered_pair(X1,X2)),
    ordered_pair ).

cnf(c_0_6,axiom,
    singleton_set(X1) = non_ordered_pair(X1,X1),
    singleton_set ).

cnf(c_0_7,negated_conjecture,
    ~ little_set(ordered_pair(a,b)),
    c_0_4 ).

cnf(c_0_8,plain,
    ordered_pair(X1,X2) = non_ordered_pair(non_ordered_pair(X1,X1),non_ordered_pair(X1,X2)),
    inference(rw,[status(thm)],[c_0_5,c_0_6]) ).

cnf(c_0_9,negated_conjecture,
    ~ little_set(non_ordered_pair(non_ordered_pair(a,a),non_ordered_pair(a,b))),
    inference(rw,[status(thm)],[c_0_7,c_0_8]) ).

cnf(c_0_10,axiom,
    little_set(non_ordered_pair(X1,X2)),
    non_ordered_pair4 ).

cnf(c_0_11,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_10])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : SET025-3 : TPTP v8.2.0. Released v1.0.0.
% 0.03/0.12  % Command    : run_E %s %d THM
% 0.12/0.31  % Computer : n028.cluster.edu
% 0.12/0.31  % Model    : x86_64 x86_64
% 0.12/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31  % Memory   : 8042.1875MB
% 0.12/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.31  % CPULimit   : 300
% 0.12/0.31  % WCLimit    : 300
% 0.12/0.31  % DateTime   : Mon May 20 12:20:52 EDT 2024
% 0.16/0.31  % CPUTime    : 
% 0.16/0.44  Running first-order model finding
% 0.16/0.44  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/benchmark/theBenchmark.p
% 0.16/0.46  # Version: 3.1.0
% 0.16/0.46  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.16/0.46  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.46  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.16/0.46  # Starting new_bool_3 with 300s (1) cores
% 0.16/0.46  # Starting new_bool_1 with 300s (1) cores
% 0.16/0.46  # Starting sh5l with 300s (1) cores
% 0.16/0.46  # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 538 completed with status 0
% 0.16/0.46  # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.16/0.46  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.16/0.46  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.46  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.16/0.46  # No SInE strategy applied
% 0.16/0.46  # Search class: FGHSF-FFLS31-MFFFFFNN
% 0.16/0.46  # partial match(1): FGHSM-FFLS31-MFFFFFNN
% 0.16/0.46  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/0.46  # Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with 664s (1) cores
% 0.16/0.46  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.16/0.46  # Starting new_bool_3 with 216s (1) cores
% 0.16/0.46  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2i with 136s (1) cores
% 0.16/0.46  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S021I with 136s (1) cores
% 0.16/0.46  # G-E--_208_C18_F1_SE_CS_SP_PS_S2i with pid 548 completed with status 0
% 0.16/0.46  # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S2i
% 0.16/0.46  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.16/0.46  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.46  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.16/0.46  # No SInE strategy applied
% 0.16/0.46  # Search class: FGHSF-FFLS31-MFFFFFNN
% 0.16/0.46  # partial match(1): FGHSM-FFLS31-MFFFFFNN
% 0.16/0.46  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/0.46  # Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with 664s (1) cores
% 0.16/0.46  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.16/0.46  # Starting new_bool_3 with 216s (1) cores
% 0.16/0.46  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2i with 136s (1) cores
% 0.16/0.46  # Preprocessing time       : 0.003 s
% 0.16/0.46  # Presaturation interreduction done
% 0.16/0.46  
% 0.16/0.46  # Proof found!
% 0.16/0.46  # SZS status Unsatisfiable
% 0.16/0.46  # SZS output start CNFRefutation
% See solution above
% 0.16/0.46  # Parsed axioms                        : 151
% 0.16/0.46  # Removed by relevancy pruning/SinE    : 0
% 0.16/0.46  # Initial clauses                      : 151
% 0.16/0.46  # Removed in clause preprocessing      : 6
% 0.16/0.46  # Initial clauses in saturation        : 145
% 0.16/0.46  # Processed clauses                    : 5
% 0.16/0.46  # ...of these trivial                  : 0
% 0.16/0.46  # ...subsumed                          : 0
% 0.16/0.46  # ...remaining for further processing  : 5
% 0.16/0.46  # Other redundant clauses eliminated   : 0
% 0.16/0.46  # Clauses deleted for lack of memory   : 0
% 0.16/0.46  # Backward-subsumed                    : 0
% 0.16/0.46  # Backward-rewritten                   : 1
% 0.16/0.46  # Generated clauses                    : 0
% 0.16/0.46  # ...of the previous two non-redundant : 0
% 0.16/0.46  # ...aggressively subsumed             : 0
% 0.16/0.46  # Contextual simplify-reflections      : 0
% 0.16/0.46  # Paramodulations                      : 0
% 0.16/0.46  # Factorizations                       : 0
% 0.16/0.46  # NegExts                              : 0
% 0.16/0.46  # Equation resolutions                 : 0
% 0.16/0.46  # Disequality decompositions           : 0
% 0.16/0.46  # Total rewrite steps                  : 1
% 0.16/0.46  # ...of those cached                   : 0
% 0.16/0.46  # Propositional unsat checks           : 0
% 0.16/0.46  #    Propositional check models        : 0
% 0.16/0.46  #    Propositional check unsatisfiable : 0
% 0.16/0.46  #    Propositional clauses             : 0
% 0.16/0.46  #    Propositional clauses after purity: 0
% 0.16/0.46  #    Propositional unsat core size     : 0
% 0.16/0.46  #    Propositional preprocessing time  : 0.000
% 0.16/0.46  #    Propositional encoding time       : 0.000
% 0.16/0.46  #    Propositional solver time         : 0.000
% 0.16/0.46  #    Success case prop preproc time    : 0.000
% 0.16/0.46  #    Success case prop encoding time   : 0.000
% 0.16/0.46  #    Success case prop solver time     : 0.000
% 0.16/0.46  # Current number of processed clauses  : 4
% 0.16/0.46  #    Positive orientable unit clauses  : 3
% 0.16/0.46  #    Positive unorientable unit clauses: 0
% 0.16/0.46  #    Negative unit clauses             : 1
% 0.16/0.46  #    Non-unit-clauses                  : 0
% 0.16/0.46  # Current number of unprocessed clauses: 140
% 0.16/0.46  # ...number of literals in the above   : 374
% 0.16/0.46  # Current number of archived formulas  : 0
% 0.16/0.46  # Current number of archived clauses   : 7
% 0.16/0.46  # Clause-clause subsumption calls (NU) : 0
% 0.16/0.46  # Rec. Clause-clause subsumption calls : 0
% 0.16/0.46  # Non-unit clause-clause subsumptions  : 0
% 0.16/0.46  # Unit Clause-clause subsumption calls : 0
% 0.16/0.46  # Rewrite failures with RHS unbound    : 0
% 0.16/0.46  # BW rewrite match attempts            : 1
% 0.16/0.46  # BW rewrite match successes           : 1
% 0.16/0.46  # Condensation attempts                : 0
% 0.16/0.46  # Condensation successes               : 0
% 0.16/0.46  # Termbank termtop insertions          : 3842
% 0.16/0.46  # Search garbage collected termcells   : 342
% 0.16/0.46  
% 0.16/0.46  # -------------------------------------------------
% 0.16/0.46  # User time                : 0.010 s
% 0.16/0.46  # System time              : 0.002 s
% 0.16/0.46  # Total time               : 0.011 s
% 0.16/0.46  # Maximum resident set size: 2092 pages
% 0.16/0.46  
% 0.16/0.46  # -------------------------------------------------
% 0.16/0.46  # User time                : 0.024 s
% 0.16/0.46  # System time              : 0.010 s
% 0.16/0.46  # Total time               : 0.035 s
% 0.16/0.46  # Maximum resident set size: 1832 pages
% 0.16/0.46  % E---3.1 exiting
%------------------------------------------------------------------------------