TSTP Solution File: SET114-7 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SET114-7 : TPTP v8.1.2. Bugfixed v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n001.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 19:22:11 EDT 2023

% Result   : Unsatisfiable 0.16s 0.44s
% Output   : CNFRefutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    3
% Syntax   : Number of clauses     :    7 (   5 unt;   2 nHn;   5 RR)
%            Number of literals    :    9 (   4 equ;   4 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   2 con; 0-2 aty)
%            Number of variables   :    2 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_unique_1st_and_2nd_in_pair_of_non_sets2_1,negated_conjecture,
    ~ member(ordered_pair(first(x),second(x)),cross_product(universal_class,universal_class)),
    file('/export/starexec/sandbox2/tmp/tmp.gAICXD9qTB/E---3.1_23506.p',prove_unique_1st_and_2nd_in_pair_of_non_sets2_1) ).

cnf(existence_of_1st_and_2nd_3,axiom,
    ( member(ordered_pair(first(X1),second(X1)),cross_product(universal_class,universal_class))
    | second(X1) = X1 ),
    file('/export/starexec/sandbox2/tmp/tmp.gAICXD9qTB/E---3.1_23506.p',existence_of_1st_and_2nd_3) ).

cnf(prove_unique_2nd_in_pair_of_non_sets,negated_conjecture,
    second(x) != x,
    file('/export/starexec/sandbox2/tmp/tmp.gAICXD9qTB/E---3.1_23506.p',prove_unique_2nd_in_pair_of_non_sets) ).

cnf(c_0_3,negated_conjecture,
    ~ member(ordered_pair(first(x),second(x)),cross_product(universal_class,universal_class)),
    prove_unique_1st_and_2nd_in_pair_of_non_sets2_1 ).

cnf(c_0_4,axiom,
    ( member(ordered_pair(first(X1),second(X1)),cross_product(universal_class,universal_class))
    | second(X1) = X1 ),
    existence_of_1st_and_2nd_3 ).

cnf(c_0_5,negated_conjecture,
    second(x) != x,
    prove_unique_2nd_in_pair_of_non_sets ).

cnf(c_0_6,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_4]),c_0_5]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.10  % Problem    : SET114-7 : TPTP v8.1.2. Bugfixed v7.3.0.
% 0.08/0.10  % Command    : run_E %s %d THM
% 0.10/0.30  % Computer : n001.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit   : 2400
% 0.10/0.30  % WCLimit    : 300
% 0.10/0.30  % DateTime   : Mon Oct  2 17:20:21 EDT 2023
% 0.10/0.30  % CPUTime    : 
% 0.16/0.41  Running first-order model finding
% 0.16/0.41  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.gAICXD9qTB/E---3.1_23506.p
% 0.16/0.44  # Version: 3.1pre001
% 0.16/0.44  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.16/0.44  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.44  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.16/0.44  # Starting new_bool_3 with 300s (1) cores
% 0.16/0.44  # Starting new_bool_1 with 300s (1) cores
% 0.16/0.44  # Starting sh5l with 300s (1) cores
% 0.16/0.44  # sh5l with pid 23614 completed with status 0
% 0.16/0.44  # Result found by sh5l
% 0.16/0.44  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.16/0.44  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.44  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.16/0.44  # Starting new_bool_3 with 300s (1) cores
% 0.16/0.44  # Starting new_bool_1 with 300s (1) cores
% 0.16/0.44  # Starting sh5l with 300s (1) cores
% 0.16/0.44  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.16/0.44  # Search class: FGHSM-FFLM31-MFFFFFNN
% 0.16/0.44  # Scheduled 8 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.44  # Starting 208_C09_12_F1_SE_CS_SP_PS_S070I with 109s (1) cores
% 0.16/0.44  # 208_C09_12_F1_SE_CS_SP_PS_S070I with pid 23617 completed with status 0
% 0.16/0.44  # Result found by 208_C09_12_F1_SE_CS_SP_PS_S070I
% 0.16/0.44  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.16/0.44  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.44  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.16/0.44  # Starting new_bool_3 with 300s (1) cores
% 0.16/0.44  # Starting new_bool_1 with 300s (1) cores
% 0.16/0.44  # Starting sh5l with 300s (1) cores
% 0.16/0.44  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.16/0.44  # Search class: FGHSM-FFLM31-MFFFFFNN
% 0.16/0.44  # Scheduled 8 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.44  # Starting 208_C09_12_F1_SE_CS_SP_PS_S070I with 109s (1) cores
% 0.16/0.44  # Preprocessing time       : 0.002 s
% 0.16/0.44  # Presaturation interreduction done
% 0.16/0.44  
% 0.16/0.44  # Proof found!
% 0.16/0.44  # SZS status Unsatisfiable
% 0.16/0.44  # SZS output start CNFRefutation
% See solution above
% 0.16/0.44  # Parsed axioms                        : 161
% 0.16/0.44  # Removed by relevancy pruning/SinE    : 8
% 0.16/0.44  # Initial clauses                      : 153
% 0.16/0.44  # Removed in clause preprocessing      : 0
% 0.16/0.44  # Initial clauses in saturation        : 153
% 0.16/0.44  # Processed clauses                    : 279
% 0.16/0.44  # ...of these trivial                  : 4
% 0.16/0.44  # ...subsumed                          : 11
% 0.16/0.44  # ...remaining for further processing  : 264
% 0.16/0.44  # Other redundant clauses eliminated   : 9
% 0.16/0.44  # Clauses deleted for lack of memory   : 0
% 0.16/0.44  # Backward-subsumed                    : 0
% 0.16/0.44  # Backward-rewritten                   : 2
% 0.16/0.44  # Generated clauses                    : 219
% 0.16/0.44  # ...of the previous two non-redundant : 161
% 0.16/0.44  # ...aggressively subsumed             : 0
% 0.16/0.44  # Contextual simplify-reflections      : 1
% 0.16/0.44  # Paramodulations                      : 210
% 0.16/0.44  # Factorizations                       : 0
% 0.16/0.44  # NegExts                              : 0
% 0.16/0.44  # Equation resolutions                 : 9
% 0.16/0.44  # Total rewrite steps                  : 89
% 0.16/0.44  # Propositional unsat checks           : 0
% 0.16/0.44  #    Propositional check models        : 0
% 0.16/0.44  #    Propositional check unsatisfiable : 0
% 0.16/0.44  #    Propositional clauses             : 0
% 0.16/0.44  #    Propositional clauses after purity: 0
% 0.16/0.44  #    Propositional unsat core size     : 0
% 0.16/0.44  #    Propositional preprocessing time  : 0.000
% 0.16/0.44  #    Propositional encoding time       : 0.000
% 0.16/0.44  #    Propositional solver time         : 0.000
% 0.16/0.44  #    Success case prop preproc time    : 0.000
% 0.16/0.44  #    Success case prop encoding time   : 0.000
% 0.16/0.44  #    Success case prop solver time     : 0.000
% 0.16/0.44  # Current number of processed clauses  : 110
% 0.16/0.44  #    Positive orientable unit clauses  : 29
% 0.16/0.44  #    Positive unorientable unit clauses: 1
% 0.16/0.44  #    Negative unit clauses             : 8
% 0.16/0.44  #    Non-unit-clauses                  : 72
% 0.16/0.44  # Current number of unprocessed clauses: 179
% 0.16/0.44  # ...number of literals in the above   : 413
% 0.16/0.44  # Current number of archived formulas  : 0
% 0.16/0.44  # Current number of archived clauses   : 151
% 0.16/0.44  # Clause-clause subsumption calls (NU) : 2451
% 0.16/0.44  # Rec. Clause-clause subsumption calls : 1992
% 0.16/0.44  # Non-unit clause-clause subsumptions  : 11
% 0.16/0.44  # Unit Clause-clause subsumption calls : 423
% 0.16/0.44  # Rewrite failures with RHS unbound    : 0
% 0.16/0.44  # BW rewrite match attempts            : 21
% 0.16/0.44  # BW rewrite match successes           : 15
% 0.16/0.44  # Condensation attempts                : 0
% 0.16/0.44  # Condensation successes               : 0
% 0.16/0.44  # Termbank termtop insertions          : 6404
% 0.16/0.44  
% 0.16/0.44  # -------------------------------------------------
% 0.16/0.44  # User time                : 0.016 s
% 0.16/0.44  # System time              : 0.002 s
% 0.16/0.44  # Total time               : 0.018 s
% 0.16/0.44  # Maximum resident set size: 2048 pages
% 0.16/0.44  
% 0.16/0.44  # -------------------------------------------------
% 0.16/0.44  # User time                : 0.020 s
% 0.16/0.44  # System time              : 0.003 s
% 0.16/0.44  # Total time               : 0.023 s
% 0.16/0.44  # Maximum resident set size: 1800 pages
% 0.16/0.44  % E---3.1 exiting
%------------------------------------------------------------------------------