TSTP Solution File: SET859-1 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : SET859-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n018.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 19:21:09 EDT 2023

% Result   : Timeout 1.70s 300.07s
% Output   : None 
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of clauses     :   10 (   7 unt;   0 nHn;   8 RR)
%            Number of literals    :   15 (   0 equ;   7 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-3 aty)
%            Number of variables   :   18 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_Set_Osubset__trans_0,axiom,
    ( c_lessequals(X4,X2,tc_set(X3))
    | ~ c_lessequals(X1,X2,tc_set(X3))
    | ~ c_lessequals(X4,X1,tc_set(X3)) ),
    file('/export/starexec/sandbox2/tmp/tmp.A0UM3Dmn1L/E---3.1_26325.p',cls_Set_Osubset__trans_0) ).

cnf(cls_Zorn_OAbrial__axiom1_0,axiom,
    c_lessequals(X1,c_Zorn_Osucc(X2,X1,X3),tc_set(tc_set(X3))),
    file('/export/starexec/sandbox2/tmp/tmp.A0UM3Dmn1L/E---3.1_26325.p',cls_Zorn_OAbrial__axiom1_0) ).

cnf(cls_conjecture_2,negated_conjecture,
    c_lessequals(c_Zorn_Osucc(v_S,v_n,t_a),v_m,tc_set(tc_set(t_a))),
    file('/export/starexec/sandbox2/tmp/tmp.A0UM3Dmn1L/E---3.1_26325.p',cls_conjecture_2) ).

cnf(cls_conjecture_3,negated_conjecture,
    ~ c_lessequals(v_n,v_m,tc_set(tc_set(t_a))),
    file('/export/starexec/sandbox2/tmp/tmp.A0UM3Dmn1L/E---3.1_26325.p',cls_conjecture_3) ).

cnf(c_0_4,axiom,
    ( c_lessequals(X4,X2,tc_set(X3))
    | ~ c_lessequals(X1,X2,tc_set(X3))
    | ~ c_lessequals(X4,X1,tc_set(X3)) ),
    cls_Set_Osubset__trans_0 ).

cnf(c_0_5,axiom,
    c_lessequals(X1,c_Zorn_Osucc(X2,X1,X3),tc_set(tc_set(X3))),
    cls_Zorn_OAbrial__axiom1_0 ).

cnf(c_0_6,plain,
    ( c_lessequals(X1,X2,tc_set(tc_set(X3)))
    | ~ c_lessequals(c_Zorn_Osucc(X4,X1,X3),X2,tc_set(tc_set(X3))) ),
    inference(spm,[status(thm)],[c_0_4,c_0_5]) ).

cnf(c_0_7,negated_conjecture,
    c_lessequals(c_Zorn_Osucc(v_S,v_n,t_a),v_m,tc_set(tc_set(t_a))),
    cls_conjecture_2 ).

cnf(c_0_8,negated_conjecture,
    ~ c_lessequals(v_n,v_m,tc_set(tc_set(t_a))),
    cls_conjecture_3 ).

cnf(c_0_9,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.18  % Problem    : SET859-1 : TPTP v8.1.2. Released v3.2.0.
% 0.09/0.19  % Command    : run_E %s %d THM
% 0.19/0.40  % Computer : n018.cluster.edu
% 0.19/0.40  % Model    : x86_64 x86_64
% 0.19/0.40  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.40  % Memory   : 8042.1875MB
% 0.19/0.40  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.19/0.40  % CPULimit   : 2400
% 0.19/0.40  % WCLimit    : 300
% 0.19/0.40  % DateTime   : Mon Oct  2 18:07:39 EDT 2023
% 0.19/0.40  % CPUTime    : 
% 0.25/0.60  Running first-order theorem proving
% 0.25/0.60  Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.A0UM3Dmn1L/E---3.1_26325.p
% 1.70/300.07  # Version: 3.1pre001
% 1.70/300.07  # Preprocessing class: FMLMSMSMSSSNFFN.
% 1.70/300.07  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.70/300.07  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1.70/300.07  # Starting new_bool_3 with 300s (1) cores
% 1.70/300.07  # Starting new_bool_1 with 300s (1) cores
% 1.70/300.07  # Starting sh5l with 300s (1) cores
% 1.70/300.07  # new_bool_3 with pid 26407 completed with status 0
% 1.70/300.07  # Result found by new_bool_3
% 1.70/300.07  # Preprocessing class: FMLMSMSMSSSNFFN.
% 1.70/300.07  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.70/300.07  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1.70/300.07  # Starting new_bool_3 with 300s (1) cores
% 1.70/300.07  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1.70/300.07  # Search class: FGHSM-FSLM32-SFFFFFNN
% 1.70/300.07  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 1.70/300.07  # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 127s (1) cores
% 1.70/300.07  # G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with pid 26411 completed with status 0
% 1.70/300.07  # Result found by G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI
% 1.70/300.07  # Preprocessing class: FMLMSMSMSSSNFFN.
% 1.70/300.07  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.70/300.07  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1.70/300.07  # Starting new_bool_3 with 300s (1) cores
% 1.70/300.07  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1.70/300.07  # Search class: FGHSM-FSLM32-SFFFFFNN
% 1.70/300.07  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 1.70/300.07  # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 127s (1) cores
% 1.70/300.07  # Preprocessing time       : 0.003 s
% 1.70/300.07  
% 1.70/300.07  # Proof found!
% 1.70/300.07  # SZS status Unsatisfiable
% 1.70/300.07  # SZS output start CNFRefutation
% See solution above
% 1.70/300.07  # Parsed axioms                        : 1369
% 1.70/300.07  # Removed by relevancy pruning/SinE    : 997
% 1.70/300.07  # Initial clauses                      : 372
% 1.70/300.07  # Removed in clause preprocessing      : 0
% 1.70/300.07  # Initial clauses in saturation        : 372
% 1.70/300.07  # Processed clauses                    : 481
% 1.70/300.07  # ...of these trivial                  : 0
% 1.70/300.07  # ...subsumed                          : 71
% 1.70/300.07  # ...remaining for further processing  : 410
% 1.70/300.07  # Other redundant clauses eliminated   : 0
% 1.70/300.07  # Clauses deleted for lack of memory   : 0
% 1.70/300.07  # Backward-subsumed                    : 1
% 1.70/300.07  # Backward-rewritten                   : 1
% 1.70/300.07  # Generated clauses                    : 192
% 1.70/300.07  # ...of the previous two non-redundant : 123
% 1.70/300.07  # ...aggressively subsumed             : 0
% 1.70/300.07  # Contextual simplify-reflections      : 0
% 1.70/300.07  # Paramodulations                      : 192
% 1.70/300.07  # Factorizations                       : 0
% 1.70/300.07  # NegExts                              : 0
% 1.70/300.07  # Equation resolutions                 : 0
% 1.70/300.07  # Total rewrite steps                  : 70
% 1.70/300.07  # Propositional unsat checks           : 0
% 1.70/300.07  #    Propositional check models        : 0
% 1.70/300.07  #    Propositional check unsatisfiable : 0
% 1.70/300.07  #    Propositional clauses             : 0
% 1.70/300.07  #    Propositional clauses after purity: 0
% 1.70/300.07  #    Propositional unsat core size     : 0
% 1.70/300.07  #    Propositional preprocessing time  : 0.000
% 1.70/300.07  #    Propositional encoding time       : 0.000
% 1.70/300.07  #    Propositional solver time         : 0.000
% 1.70/300.07  #    Success case prop preproc time    : 0.000
% 1.70/300.07  #    Success case prop encoding time   : 0.000
% 1.70/300.07  #    Success case prop solver time     : 0.000
% 1.70/300.07  # Current number of processed clauses  : 408
% 1.70/300.07  #    Positive orientable unit clauses  : 45
% 1.70/300.07  #    Positive unorientable unit clauses: 0
% 1.70/300.07  #    Negative unit clauses             : 12
% 1.70/300.07  #    Non-unit-clauses                  : 351
% 1.70/300.07  # Current number of unprocessed clauses: 13
% 1.70/300.07  # ...number of literals in the above   : 33
% 1.70/300.07  # Current number of archived formulas  : 0
% 1.70/300.07  # Current number of archived clauses   : 2
% 1.70/300.07  # Clause-clause subsumption calls (NU) : 28663
% 1.70/300.07  # Rec. Clause-clause subsumption calls : 27468
% 1.70/300.07  # Non-unit clause-clause subsumptions  : 70
% 1.70/300.07  # Unit Clause-clause subsumption calls : 84
% 1.70/300.07  # Rewrite failures with RHS unbound    : 0
% 1.70/300.07  # BW rewrite match attempts            : 10
% 1.70/300.07  # BW rewrite match successes           : 1
% 1.70/300.07  # Condensation attempts                : 0
% 1.70/300.07  # Condensation successes               : 0
% 1.70/300.07  # Termbank termtop insertions          : 14557
% 1.70/300.07  
% 1.70/300.07  # -------------------------------------------------
% 1.70/300.07  # User time                : 0.019 s
% 1.70/300.07  # System time              : 0.007 s
% 1.70/300.07  # Total time               : 0.026 s
% 1.70/300.07  # Maximum resident set size: 2980 pages
% 1.70/300.07  
% 1.70/300.07  # -------------------------------------------------
% 1.70/300.07  # User time                : 0.037 s
% 1.70/300.07  # System time              : 0.009 s
% 1.70/300.07  # Total time               : 0.046 s
% 1.70/300.07  # Maximum resident set size: 2408 pages
% 1.70/300.07  % E---3.1 exiting
% 1.70/300.07  % E---3.1 exiting
%------------------------------------------------------------------------------