TSTP Solution File: SET024-3 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SET024-3 : TPTP v8.1.2. Released v1.0.0.
% 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 19:21:40 EDT 2023

% Result   : Unsatisfiable 0.17s 0.46s
% Output   : CNFRefutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of clauses     :   11 (   8 unt;   0 nHn;   6 RR)
%            Number of literals    :   16 (   4 equ;   8 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   1 con; 0-2 aty)
%            Number of variables   :   10 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_membership_of_singleton_set,negated_conjecture,
    ~ member(a,singleton_set(a)),
    file('/export/starexec/sandbox2/tmp/tmp.BsHrtHHBVN/E---3.1_9275.p',prove_membership_of_singleton_set) ).

cnf(singleton_set,axiom,
    singleton_set(X1) = non_ordered_pair(X1,X1),
    file('/export/starexec/sandbox2/tmp/tmp.BsHrtHHBVN/E---3.1_9275.p',singleton_set) ).

cnf(non_ordered_pair3,axiom,
    ( member(X1,non_ordered_pair(X2,X3))
    | ~ little_set(X1)
    | X1 != X3 ),
    file('/export/starexec/sandbox2/tmp/tmp.BsHrtHHBVN/E---3.1_9275.p',non_ordered_pair3) ).

cnf(a_little_set,hypothesis,
    little_set(a),
    file('/export/starexec/sandbox2/tmp/tmp.BsHrtHHBVN/E---3.1_9275.p',a_little_set) ).

cnf(c_0_4,negated_conjecture,
    ~ member(a,singleton_set(a)),
    prove_membership_of_singleton_set ).

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

cnf(c_0_6,axiom,
    ( member(X1,non_ordered_pair(X2,X3))
    | ~ little_set(X1)
    | X1 != X3 ),
    non_ordered_pair3 ).

cnf(c_0_7,negated_conjecture,
    ~ member(a,non_ordered_pair(a,a)),
    inference(rw,[status(thm)],[c_0_4,c_0_5]) ).

cnf(c_0_8,plain,
    ( member(X1,non_ordered_pair(X2,X1))
    | ~ little_set(X1) ),
    inference(er,[status(thm)],[c_0_6]) ).

cnf(c_0_9,hypothesis,
    little_set(a),
    a_little_set ).

cnf(c_0_10,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_9])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11  % Problem    : SET024-3 : TPTP v8.1.2. Released v1.0.0.
% 0.05/0.12  % Command    : run_E %s %d THM
% 0.11/0.32  % Computer : n029.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 2400
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Mon Oct  2 17:42:36 EDT 2023
% 0.11/0.32  % CPUTime    : 
% 0.17/0.44  Running first-order model finding
% 0.17/0.44  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.BsHrtHHBVN/E---3.1_9275.p
% 0.17/0.46  # Version: 3.1pre001
% 0.17/0.46  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.17/0.46  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.46  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.17/0.46  # Starting new_bool_3 with 300s (1) cores
% 0.17/0.46  # Starting new_bool_1 with 300s (1) cores
% 0.17/0.46  # Starting sh5l with 300s (1) cores
% 0.17/0.46  # new_bool_3 with pid 9353 completed with status 0
% 0.17/0.46  # Result found by new_bool_3
% 0.17/0.46  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.17/0.46  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.46  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.17/0.46  # Starting new_bool_3 with 300s (1) cores
% 0.17/0.46  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.17/0.46  # Search class: FGUSS-FFSF21-SFFFFFNN
% 0.17/0.46  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.46  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.17/0.46  # SAT001_MinMin_p005000_rr_RG with pid 9356 completed with status 0
% 0.17/0.46  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.17/0.46  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.17/0.46  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.46  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.17/0.46  # Starting new_bool_3 with 300s (1) cores
% 0.17/0.46  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.17/0.46  # Search class: FGUSS-FFSF21-SFFFFFNN
% 0.17/0.46  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.46  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.17/0.46  # Preprocessing time       : 0.005 s
% 0.17/0.46  # Presaturation interreduction done
% 0.17/0.46  
% 0.17/0.46  # Proof found!
% 0.17/0.46  # SZS status Unsatisfiable
% 0.17/0.46  # SZS output start CNFRefutation
% See solution above
% 0.17/0.46  # Parsed axioms                        : 151
% 0.17/0.46  # Removed by relevancy pruning/SinE    : 132
% 0.17/0.46  # Initial clauses                      : 19
% 0.17/0.46  # Removed in clause preprocessing      : 0
% 0.17/0.46  # Initial clauses in saturation        : 19
% 0.17/0.46  # Processed clauses                    : 41
% 0.17/0.46  # ...of these trivial                  : 0
% 0.17/0.46  # ...subsumed                          : 1
% 0.17/0.46  # ...remaining for further processing  : 40
% 0.17/0.46  # Other redundant clauses eliminated   : 5
% 0.17/0.46  # Clauses deleted for lack of memory   : 0
% 0.17/0.46  # Backward-subsumed                    : 0
% 0.17/0.46  # Backward-rewritten                   : 1
% 0.17/0.46  # Generated clauses                    : 19
% 0.17/0.46  # ...of the previous two non-redundant : 15
% 0.17/0.46  # ...aggressively subsumed             : 0
% 0.17/0.46  # Contextual simplify-reflections      : 0
% 0.17/0.46  # Paramodulations                      : 14
% 0.17/0.46  # Factorizations                       : 0
% 0.17/0.46  # NegExts                              : 0
% 0.17/0.46  # Equation resolutions                 : 5
% 0.17/0.46  # Total rewrite steps                  : 3
% 0.17/0.46  # Propositional unsat checks           : 0
% 0.17/0.46  #    Propositional check models        : 0
% 0.17/0.46  #    Propositional check unsatisfiable : 0
% 0.17/0.46  #    Propositional clauses             : 0
% 0.17/0.46  #    Propositional clauses after purity: 0
% 0.17/0.46  #    Propositional unsat core size     : 0
% 0.17/0.46  #    Propositional preprocessing time  : 0.000
% 0.17/0.46  #    Propositional encoding time       : 0.000
% 0.17/0.46  #    Propositional solver time         : 0.000
% 0.17/0.46  #    Success case prop preproc time    : 0.000
% 0.17/0.46  #    Success case prop encoding time   : 0.000
% 0.17/0.46  #    Success case prop solver time     : 0.000
% 0.17/0.46  # Current number of processed clauses  : 15
% 0.17/0.46  #    Positive orientable unit clauses  : 5
% 0.17/0.46  #    Positive unorientable unit clauses: 1
% 0.17/0.46  #    Negative unit clauses             : 1
% 0.17/0.46  #    Non-unit-clauses                  : 8
% 0.17/0.46  # Current number of unprocessed clauses: 12
% 0.17/0.46  # ...number of literals in the above   : 36
% 0.17/0.46  # Current number of archived formulas  : 0
% 0.17/0.46  # Current number of archived clauses   : 20
% 0.17/0.46  # Clause-clause subsumption calls (NU) : 31
% 0.17/0.46  # Rec. Clause-clause subsumption calls : 23
% 0.17/0.46  # Non-unit clause-clause subsumptions  : 1
% 0.17/0.46  # Unit Clause-clause subsumption calls : 0
% 0.17/0.46  # Rewrite failures with RHS unbound    : 0
% 0.17/0.46  # BW rewrite match attempts            : 4
% 0.17/0.46  # BW rewrite match successes           : 2
% 0.17/0.46  # Condensation attempts                : 0
% 0.17/0.46  # Condensation successes               : 0
% 0.17/0.46  # Termbank termtop insertions          : 1717
% 0.17/0.46  
% 0.17/0.46  # -------------------------------------------------
% 0.17/0.46  # User time                : 0.003 s
% 0.17/0.46  # System time              : 0.005 s
% 0.17/0.46  # Total time               : 0.009 s
% 0.17/0.46  # Maximum resident set size: 1960 pages
% 0.17/0.46  
% 0.17/0.46  # -------------------------------------------------
% 0.17/0.46  # User time                : 0.008 s
% 0.17/0.46  # System time              : 0.005 s
% 0.17/0.46  # Total time               : 0.013 s
% 0.17/0.46  # Maximum resident set size: 1808 pages
% 0.17/0.46  % E---3.1 exiting
%------------------------------------------------------------------------------