TSTP Solution File: SET841-2 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SET841-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n021.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 19:24:08 EDT 2023

% Result   : Unsatisfiable 0.17s 0.43s
% Output   : CNFRefutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   16 (  14 unt;   2 nHn;  14 RR)
%            Number of literals    :   24 (   5 equ;   8 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-3 aty)
%            Number of variables   :   12 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_conjecture_4,negated_conjecture,
    ~ c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),v_m,tc_set(tc_set(t_a))),
    file('/export/starexec/sandbox/tmp/tmp.t9hSblZ1W0/E---3.1_3662.p',cls_conjecture_4) ).

cnf(cls_Zorn_OTFin__subsetD_0,axiom,
    ( c_lessequals(c_Zorn_Osucc(X2,X1,X3),X4,tc_set(tc_set(X3)))
    | X1 = X4
    | ~ c_in(X1,c_Zorn_OTFin(X2,X3),tc_set(tc_set(X3)))
    | ~ c_in(X4,c_Zorn_OTFin(X2,X3),tc_set(tc_set(X3)))
    | ~ c_lessequals(X1,X4,tc_set(tc_set(X3))) ),
    file('/export/starexec/sandbox/tmp/tmp.t9hSblZ1W0/E---3.1_3662.p',cls_Zorn_OTFin__subsetD_0) ).

cnf(cls_conjecture_0,negated_conjecture,
    c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
    file('/export/starexec/sandbox/tmp/tmp.t9hSblZ1W0/E---3.1_3662.p',cls_conjecture_0) ).

cnf(cls_conjecture_2,negated_conjecture,
    c_in(v_x,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
    file('/export/starexec/sandbox/tmp/tmp.t9hSblZ1W0/E---3.1_3662.p',cls_conjecture_2) ).

cnf(cls_conjecture_3,negated_conjecture,
    c_lessequals(v_x,v_m,tc_set(tc_set(t_a))),
    file('/export/starexec/sandbox/tmp/tmp.t9hSblZ1W0/E---3.1_3662.p',cls_conjecture_3) ).

cnf(cls_conjecture_1,negated_conjecture,
    v_m = c_Zorn_Osucc(v_S,v_m,t_a),
    file('/export/starexec/sandbox/tmp/tmp.t9hSblZ1W0/E---3.1_3662.p',cls_conjecture_1) ).

cnf(cls_Set_Osubset__refl_0,axiom,
    c_lessequals(X1,X1,tc_set(X2)),
    file('/export/starexec/sandbox/tmp/tmp.t9hSblZ1W0/E---3.1_3662.p',cls_Set_Osubset__refl_0) ).

cnf(c_0_7,negated_conjecture,
    ~ c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),v_m,tc_set(tc_set(t_a))),
    cls_conjecture_4 ).

cnf(c_0_8,axiom,
    ( c_lessequals(c_Zorn_Osucc(X2,X1,X3),X4,tc_set(tc_set(X3)))
    | X1 = X4
    | ~ c_in(X1,c_Zorn_OTFin(X2,X3),tc_set(tc_set(X3)))
    | ~ c_in(X4,c_Zorn_OTFin(X2,X3),tc_set(tc_set(X3)))
    | ~ c_lessequals(X1,X4,tc_set(tc_set(X3))) ),
    cls_Zorn_OTFin__subsetD_0 ).

cnf(c_0_9,negated_conjecture,
    c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
    cls_conjecture_0 ).

cnf(c_0_10,negated_conjecture,
    c_in(v_x,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
    cls_conjecture_2 ).

cnf(c_0_11,negated_conjecture,
    c_lessequals(v_x,v_m,tc_set(tc_set(t_a))),
    cls_conjecture_3 ).

cnf(c_0_12,negated_conjecture,
    v_x = v_m,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_9]),c_0_10]),c_0_11])]) ).

cnf(c_0_13,negated_conjecture,
    v_m = c_Zorn_Osucc(v_S,v_m,t_a),
    cls_conjecture_1 ).

cnf(c_0_14,axiom,
    c_lessequals(X1,X1,tc_set(X2)),
    cls_Set_Osubset__refl_0 ).

cnf(c_0_15,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_12]),c_0_13]),c_0_14])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SET841-2 : TPTP v8.1.2. Released v3.2.0.
% 0.03/0.13  % Command    : run_E %s %d THM
% 0.12/0.32  % Computer : n021.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit   : 2400
% 0.12/0.32  % WCLimit    : 300
% 0.12/0.32  % DateTime   : Mon Oct  2 16:40:59 EDT 2023
% 0.12/0.32  % CPUTime    : 
% 0.17/0.42  Running first-order model finding
% 0.17/0.42  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/tmp/tmp.t9hSblZ1W0/E---3.1_3662.p
% 0.17/0.43  # Version: 3.1pre001
% 0.17/0.43  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.17/0.43  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.43  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.17/0.43  # Starting new_bool_3 with 300s (1) cores
% 0.17/0.43  # Starting new_bool_1 with 300s (1) cores
% 0.17/0.43  # Starting sh5l with 300s (1) cores
% 0.17/0.43  # new_bool_3 with pid 3779 completed with status 0
% 0.17/0.43  # Result found by new_bool_3
% 0.17/0.43  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.17/0.43  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.43  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.17/0.43  # Starting new_bool_3 with 300s (1) cores
% 0.17/0.43  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.17/0.43  # Search class: FGUSF-FFSS32-SFFFFFNN
% 0.17/0.43  # partial match(1): FGUSF-FFSF32-SFFFFFNN
% 0.17/0.43  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.43  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.17/0.43  # SAT001_MinMin_p005000_rr_RG with pid 3782 completed with status 0
% 0.17/0.43  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.17/0.43  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.17/0.43  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.43  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.17/0.43  # Starting new_bool_3 with 300s (1) cores
% 0.17/0.43  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.17/0.43  # Search class: FGUSF-FFSS32-SFFFFFNN
% 0.17/0.43  # partial match(1): FGUSF-FFSF32-SFFFFFNN
% 0.17/0.43  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.43  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.17/0.43  # Preprocessing time       : 0.001 s
% 0.17/0.43  # Presaturation interreduction done
% 0.17/0.43  
% 0.17/0.43  # Proof found!
% 0.17/0.43  # SZS status Unsatisfiable
% 0.17/0.43  # SZS output start CNFRefutation
% See solution above
% 0.17/0.43  # Parsed axioms                        : 7
% 0.17/0.43  # Removed by relevancy pruning/SinE    : 0
% 0.17/0.43  # Initial clauses                      : 7
% 0.17/0.43  # Removed in clause preprocessing      : 0
% 0.17/0.43  # Initial clauses in saturation        : 7
% 0.17/0.43  # Processed clauses                    : 15
% 0.17/0.43  # ...of these trivial                  : 0
% 0.17/0.43  # ...subsumed                          : 0
% 0.17/0.43  # ...remaining for further processing  : 15
% 0.17/0.43  # Other redundant clauses eliminated   : 0
% 0.17/0.43  # Clauses deleted for lack of memory   : 0
% 0.17/0.43  # Backward-subsumed                    : 0
% 0.17/0.43  # Backward-rewritten                   : 2
% 0.17/0.43  # Generated clauses                    : 3
% 0.17/0.43  # ...of the previous two non-redundant : 1
% 0.17/0.43  # ...aggressively subsumed             : 0
% 0.17/0.43  # Contextual simplify-reflections      : 0
% 0.17/0.43  # Paramodulations                      : 3
% 0.17/0.43  # Factorizations                       : 0
% 0.17/0.43  # NegExts                              : 0
% 0.17/0.43  # Equation resolutions                 : 0
% 0.17/0.43  # Total rewrite steps                  : 10
% 0.17/0.43  # Propositional unsat checks           : 0
% 0.17/0.43  #    Propositional check models        : 0
% 0.17/0.43  #    Propositional check unsatisfiable : 0
% 0.17/0.43  #    Propositional clauses             : 0
% 0.17/0.43  #    Propositional clauses after purity: 0
% 0.17/0.43  #    Propositional unsat core size     : 0
% 0.17/0.43  #    Propositional preprocessing time  : 0.000
% 0.17/0.43  #    Propositional encoding time       : 0.000
% 0.17/0.43  #    Propositional solver time         : 0.000
% 0.17/0.43  #    Success case prop preproc time    : 0.000
% 0.17/0.43  #    Success case prop encoding time   : 0.000
% 0.17/0.43  #    Success case prop solver time     : 0.000
% 0.17/0.43  # Current number of processed clauses  : 6
% 0.17/0.43  #    Positive orientable unit clauses  : 4
% 0.17/0.43  #    Positive unorientable unit clauses: 0
% 0.17/0.43  #    Negative unit clauses             : 1
% 0.17/0.43  #    Non-unit-clauses                  : 1
% 0.17/0.43  # Current number of unprocessed clauses: 0
% 0.17/0.43  # ...number of literals in the above   : 0
% 0.17/0.43  # Current number of archived formulas  : 0
% 0.17/0.43  # Current number of archived clauses   : 9
% 0.17/0.43  # Clause-clause subsumption calls (NU) : 0
% 0.17/0.43  # Rec. Clause-clause subsumption calls : 0
% 0.17/0.43  # Non-unit clause-clause subsumptions  : 0
% 0.17/0.43  # Unit Clause-clause subsumption calls : 0
% 0.17/0.43  # Rewrite failures with RHS unbound    : 0
% 0.17/0.43  # BW rewrite match attempts            : 3
% 0.17/0.43  # BW rewrite match successes           : 1
% 0.17/0.43  # Condensation attempts                : 0
% 0.17/0.43  # Condensation successes               : 0
% 0.17/0.43  # Termbank termtop insertions          : 274
% 0.17/0.43  
% 0.17/0.43  # -------------------------------------------------
% 0.17/0.43  # User time                : 0.002 s
% 0.17/0.43  # System time              : 0.002 s
% 0.17/0.43  # Total time               : 0.004 s
% 0.17/0.43  # Maximum resident set size: 1640 pages
% 0.17/0.43  
% 0.17/0.43  # -------------------------------------------------
% 0.17/0.43  # User time                : 0.004 s
% 0.17/0.43  # System time              : 0.003 s
% 0.17/0.43  # Total time               : 0.007 s
% 0.17/0.43  # Maximum resident set size: 1676 pages
% 0.17/0.43  % E---3.1 exiting
%------------------------------------------------------------------------------