TSTP Solution File: SET077-6 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : SET077-6 : 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 19:18:22 EDT 2023

% Result   : Unsatisfiable 0.39s 0.56s
% Output   : CNFRefutation 0.39s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    3
% Syntax   : Number of clauses     :    8 (   8 unt;   0 nHn;   4 RR)
%            Number of literals    :    8 (   2 equ;   3 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :    6 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_singletons_are_sets_1,negated_conjecture,
    ~ member(singleton(x),universal_class),
    file('/export/starexec/sandbox/tmp/tmp.dUMa3wiaO1/E---3.1_20004.p',prove_singletons_are_sets_1) ).

cnf(singleton_set,axiom,
    unordered_pair(X1,X1) = singleton(X1),
    file('/export/starexec/sandbox/tmp/tmp.dUMa3wiaO1/E---3.1_20004.p',singleton_set) ).

cnf(unordered_pairs_in_universal,axiom,
    member(unordered_pair(X1,X2),universal_class),
    file('/export/starexec/sandbox/tmp/tmp.dUMa3wiaO1/E---3.1_20004.p',unordered_pairs_in_universal) ).

cnf(c_0_3,negated_conjecture,
    ~ member(singleton(x),universal_class),
    prove_singletons_are_sets_1 ).

cnf(c_0_4,axiom,
    unordered_pair(X1,X1) = singleton(X1),
    singleton_set ).

cnf(c_0_5,negated_conjecture,
    ~ member(unordered_pair(x,x),universal_class),
    inference(rw,[status(thm)],[c_0_3,c_0_4]) ).

cnf(c_0_6,axiom,
    member(unordered_pair(X1,X2),universal_class),
    unordered_pairs_in_universal ).

cnf(c_0_7,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_5,c_0_6])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.15  % Problem    : SET077-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.16/0.16  % Command    : run_E %s %d THM
% 0.16/0.38  % Computer : n029.cluster.edu
% 0.16/0.38  % Model    : x86_64 x86_64
% 0.16/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.38  % Memory   : 8042.1875MB
% 0.16/0.38  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.38  % CPULimit   : 2400
% 0.16/0.38  % WCLimit    : 300
% 0.16/0.38  % DateTime   : Mon Oct  2 18:08:22 EDT 2023
% 0.23/0.38  % CPUTime    : 
% 0.39/0.53  Running first-order theorem proving
% 0.39/0.53  Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.dUMa3wiaO1/E---3.1_20004.p
% 0.39/0.56  # Version: 3.1pre001
% 0.39/0.56  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.39/0.56  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.39/0.56  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.39/0.56  # Starting new_bool_3 with 300s (1) cores
% 0.39/0.56  # Starting new_bool_1 with 300s (1) cores
% 0.39/0.56  # Starting sh5l with 300s (1) cores
% 0.39/0.56  # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 20083 completed with status 0
% 0.39/0.56  # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.39/0.56  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.39/0.56  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.39/0.56  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.39/0.56  # No SInE strategy applied
% 0.39/0.56  # Search class: FGHSM-FFLM31-DFFFFFNN
% 0.39/0.56  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.39/0.56  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 313s (1) cores
% 0.39/0.56  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.39/0.56  # Starting new_bool_1 with 308s (1) cores
% 0.39/0.56  # Starting sh5l with 304s (1) cores
% 0.39/0.56  # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.39/0.56  # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 20091 completed with status 0
% 0.39/0.56  # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.39/0.56  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.39/0.56  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.39/0.56  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.39/0.56  # No SInE strategy applied
% 0.39/0.56  # Search class: FGHSM-FFLM31-DFFFFFNN
% 0.39/0.56  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.39/0.56  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 313s (1) cores
% 0.39/0.56  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.39/0.56  # Preprocessing time       : 0.006 s
% 0.39/0.56  # Presaturation interreduction done
% 0.39/0.56  
% 0.39/0.56  # Proof found!
% 0.39/0.56  # SZS status Unsatisfiable
% 0.39/0.56  # SZS output start CNFRefutation
% See solution above
% 0.39/0.56  # Parsed axioms                        : 92
% 0.39/0.56  # Removed by relevancy pruning/SinE    : 0
% 0.39/0.56  # Initial clauses                      : 92
% 0.39/0.56  # Removed in clause preprocessing      : 15
% 0.39/0.56  # Initial clauses in saturation        : 77
% 0.39/0.56  # Processed clauses                    : 7
% 0.39/0.56  # ...of these trivial                  : 0
% 0.39/0.56  # ...subsumed                          : 0
% 0.39/0.56  # ...remaining for further processing  : 7
% 0.39/0.56  # Other redundant clauses eliminated   : 0
% 0.39/0.56  # Clauses deleted for lack of memory   : 0
% 0.39/0.56  # Backward-subsumed                    : 0
% 0.39/0.56  # Backward-rewritten                   : 1
% 0.39/0.56  # Generated clauses                    : 0
% 0.39/0.56  # ...of the previous two non-redundant : 0
% 0.39/0.56  # ...aggressively subsumed             : 0
% 0.39/0.56  # Contextual simplify-reflections      : 0
% 0.39/0.56  # Paramodulations                      : 0
% 0.39/0.56  # Factorizations                       : 0
% 0.39/0.56  # NegExts                              : 0
% 0.39/0.56  # Equation resolutions                 : 0
% 0.39/0.56  # Total rewrite steps                  : 1
% 0.39/0.56  # Propositional unsat checks           : 0
% 0.39/0.56  #    Propositional check models        : 0
% 0.39/0.56  #    Propositional check unsatisfiable : 0
% 0.39/0.56  #    Propositional clauses             : 0
% 0.39/0.56  #    Propositional clauses after purity: 0
% 0.39/0.56  #    Propositional unsat core size     : 0
% 0.39/0.56  #    Propositional preprocessing time  : 0.000
% 0.39/0.56  #    Propositional encoding time       : 0.000
% 0.39/0.56  #    Propositional solver time         : 0.000
% 0.39/0.56  #    Success case prop preproc time    : 0.000
% 0.39/0.56  #    Success case prop encoding time   : 0.000
% 0.39/0.56  #    Success case prop solver time     : 0.000
% 0.39/0.56  # Current number of processed clauses  : 6
% 0.39/0.56  #    Positive orientable unit clauses  : 5
% 0.39/0.56  #    Positive unorientable unit clauses: 0
% 0.39/0.56  #    Negative unit clauses             : 0
% 0.39/0.56  #    Non-unit-clauses                  : 1
% 0.39/0.56  # Current number of unprocessed clauses: 70
% 0.39/0.56  # ...number of literals in the above   : 159
% 0.39/0.56  # Current number of archived formulas  : 0
% 0.39/0.56  # Current number of archived clauses   : 16
% 0.39/0.56  # Clause-clause subsumption calls (NU) : 0
% 0.39/0.56  # Rec. Clause-clause subsumption calls : 0
% 0.39/0.56  # Non-unit clause-clause subsumptions  : 0
% 0.39/0.56  # Unit Clause-clause subsumption calls : 0
% 0.39/0.56  # Rewrite failures with RHS unbound    : 0
% 0.39/0.56  # BW rewrite match attempts            : 1
% 0.39/0.56  # BW rewrite match successes           : 1
% 0.39/0.56  # Condensation attempts                : 0
% 0.39/0.56  # Condensation successes               : 0
% 0.39/0.56  # Termbank termtop insertions          : 3073
% 0.39/0.56  
% 0.39/0.56  # -------------------------------------------------
% 0.39/0.56  # User time                : 0.007 s
% 0.39/0.56  # System time              : 0.005 s
% 0.39/0.56  # Total time               : 0.012 s
% 0.39/0.56  # Maximum resident set size: 1940 pages
% 0.39/0.56  
% 0.39/0.56  # -------------------------------------------------
% 0.39/0.56  # User time                : 0.017 s
% 0.39/0.56  # System time              : 0.016 s
% 0.39/0.56  # Total time               : 0.033 s
% 0.39/0.56  # Maximum resident set size: 1756 pages
% 0.39/0.56  % E---3.1 exiting
% 0.39/0.56  % E---3.1 exiting
%------------------------------------------------------------------------------