TSTP Solution File: SET842-2 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SET842-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n002.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 19:24:09 EDT 2023

% Result   : Timeout 408.30s 300.15s
% Output   : None 
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   19 (   3 unt;   3 nHn;  16 RR)
%            Number of literals    :   39 (   0 equ;  19 neg)
%            Maximal clause size   :    3 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-3 aty)
%            Number of variables   :   40 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_Set_OsubsetD_0,axiom,
    ( c_in(X1,X4,X3)
    | ~ c_in(X1,X2,X3)
    | ~ c_lessequals(X2,X4,tc_set(X3)) ),
    file('/export/starexec/sandbox/tmp/tmp.SWJRmPOGBB/E---3.1_6341.p',cls_Set_OsubsetD_0) ).

cnf(cls_conjecture_4,negated_conjecture,
    ( c_lessequals(X1,v_m,tc_set(tc_set(t_a)))
    | ~ c_in(X1,v_Y,tc_set(tc_set(t_a))) ),
    file('/export/starexec/sandbox/tmp/tmp.SWJRmPOGBB/E---3.1_6341.p',cls_conjecture_4) ).

cnf(cls_Set_OUnionE_0,axiom,
    ( c_in(c_Main_OUnionE__1(X1,X2,X3),X2,tc_set(X3))
    | ~ c_in(X1,c_Union(X2,X3),X3) ),
    file('/export/starexec/sandbox/tmp/tmp.SWJRmPOGBB/E---3.1_6341.p',cls_Set_OUnionE_0) ).

cnf(cls_Set_OUnionE_1,axiom,
    ( c_in(X1,c_Main_OUnionE__1(X1,X2,X3),X3)
    | ~ c_in(X1,c_Union(X2,X3),X3) ),
    file('/export/starexec/sandbox/tmp/tmp.SWJRmPOGBB/E---3.1_6341.p',cls_Set_OUnionE_1) ).

cnf(cls_Set_OsubsetI_0,axiom,
    ( c_in(c_Main_OsubsetI__1(X1,X2,X3),X1,X3)
    | c_lessequals(X1,X2,tc_set(X3)) ),
    file('/export/starexec/sandbox/tmp/tmp.SWJRmPOGBB/E---3.1_6341.p',cls_Set_OsubsetI_0) ).

cnf(cls_Set_OsubsetI_1,axiom,
    ( c_lessequals(X1,X2,tc_set(X3))
    | ~ c_in(c_Main_OsubsetI__1(X1,X2,X3),X2,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.SWJRmPOGBB/E---3.1_6341.p',cls_Set_OsubsetI_1) ).

cnf(cls_conjecture_3,negated_conjecture,
    ~ c_lessequals(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a))),
    file('/export/starexec/sandbox/tmp/tmp.SWJRmPOGBB/E---3.1_6341.p',cls_conjecture_3) ).

cnf(c_0_7,axiom,
    ( c_in(X1,X4,X3)
    | ~ c_in(X1,X2,X3)
    | ~ c_lessequals(X2,X4,tc_set(X3)) ),
    cls_Set_OsubsetD_0 ).

cnf(c_0_8,negated_conjecture,
    ( c_lessequals(X1,v_m,tc_set(tc_set(t_a)))
    | ~ c_in(X1,v_Y,tc_set(tc_set(t_a))) ),
    cls_conjecture_4 ).

cnf(c_0_9,negated_conjecture,
    ( c_in(X1,v_m,tc_set(t_a))
    | ~ c_in(X2,v_Y,tc_set(tc_set(t_a)))
    | ~ c_in(X1,X2,tc_set(t_a)) ),
    inference(spm,[status(thm)],[c_0_7,c_0_8]) ).

cnf(c_0_10,axiom,
    ( c_in(c_Main_OUnionE__1(X1,X2,X3),X2,tc_set(X3))
    | ~ c_in(X1,c_Union(X2,X3),X3) ),
    cls_Set_OUnionE_0 ).

cnf(c_0_11,negated_conjecture,
    ( c_in(X1,v_m,tc_set(t_a))
    | ~ c_in(X1,c_Main_OUnionE__1(X2,v_Y,tc_set(t_a)),tc_set(t_a))
    | ~ c_in(X2,c_Union(v_Y,tc_set(t_a)),tc_set(t_a)) ),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_12,axiom,
    ( c_in(X1,c_Main_OUnionE__1(X1,X2,X3),X3)
    | ~ c_in(X1,c_Union(X2,X3),X3) ),
    cls_Set_OUnionE_1 ).

cnf(c_0_13,negated_conjecture,
    ( c_in(X1,v_m,tc_set(t_a))
    | ~ c_in(X1,c_Union(v_Y,tc_set(t_a)),tc_set(t_a)) ),
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_14,axiom,
    ( c_in(c_Main_OsubsetI__1(X1,X2,X3),X1,X3)
    | c_lessequals(X1,X2,tc_set(X3)) ),
    cls_Set_OsubsetI_0 ).

cnf(c_0_15,axiom,
    ( c_lessequals(X1,X2,tc_set(X3))
    | ~ c_in(c_Main_OsubsetI__1(X1,X2,X3),X2,X3) ),
    cls_Set_OsubsetI_1 ).

cnf(c_0_16,negated_conjecture,
    ( c_in(c_Main_OsubsetI__1(c_Union(v_Y,tc_set(t_a)),X1,tc_set(t_a)),v_m,tc_set(t_a))
    | c_lessequals(c_Union(v_Y,tc_set(t_a)),X1,tc_set(tc_set(t_a))) ),
    inference(spm,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_17,negated_conjecture,
    ~ c_lessequals(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a))),
    cls_conjecture_3 ).

cnf(c_0_18,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : SET842-2 : TPTP v8.1.2. Released v3.2.0.
% 0.12/0.14  % Command    : run_E %s %d THM
% 0.14/0.33  % Computer : n002.cluster.edu
% 0.14/0.33  % Model    : x86_64 x86_64
% 0.14/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33  % Memory   : 8042.1875MB
% 0.14/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33  % CPULimit   : 2400
% 0.14/0.33  % WCLimit    : 300
% 0.14/0.33  % DateTime   : Mon Oct  2 17:06:29 EDT 2023
% 0.14/0.34  % CPUTime    : 
% 0.19/0.47  Running first-order model finding
% 0.19/0.47  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.SWJRmPOGBB/E---3.1_6341.p
% 408.30/300.15  # Version: 3.1pre001
% 408.30/300.15  # Preprocessing class: FSSSSMSSSSSNFFN.
% 408.30/300.15  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 408.30/300.15  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 408.30/300.15  # Starting new_bool_3 with 300s (1) cores
% 408.30/300.15  # Starting new_bool_1 with 300s (1) cores
% 408.30/300.15  # Starting sh5l with 300s (1) cores
% 408.30/300.15  # sh5l with pid 6427 completed with status 0
% 408.30/300.15  # Result found by sh5l
% 408.30/300.15  # Preprocessing class: FSSSSMSSSSSNFFN.
% 408.30/300.15  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 408.30/300.15  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 408.30/300.15  # Starting new_bool_3 with 300s (1) cores
% 408.30/300.15  # Starting new_bool_1 with 300s (1) cores
% 408.30/300.15  # Starting sh5l with 300s (1) cores
% 408.30/300.15  # SinE strategy is gf500_gu_R04_F100_L20000
% 408.30/300.15  # Search class: FGUNF-FFSF32-SFFFFFNN
% 408.30/300.15  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 408.30/300.15  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 408.30/300.15  # SAT001_MinMin_p005000_rr_RG with pid 6432 completed with status 0
% 408.30/300.15  # Result found by SAT001_MinMin_p005000_rr_RG
% 408.30/300.15  # Preprocessing class: FSSSSMSSSSSNFFN.
% 408.30/300.15  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 408.30/300.15  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 408.30/300.15  # Starting new_bool_3 with 300s (1) cores
% 408.30/300.15  # Starting new_bool_1 with 300s (1) cores
% 408.30/300.15  # Starting sh5l with 300s (1) cores
% 408.30/300.15  # SinE strategy is gf500_gu_R04_F100_L20000
% 408.30/300.15  # Search class: FGUNF-FFSF32-SFFFFFNN
% 408.30/300.15  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 408.30/300.15  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 408.30/300.15  # Preprocessing time       : 0.001 s
% 408.30/300.15  # Presaturation interreduction done
% 408.30/300.15  
% 408.30/300.15  # Proof found!
% 408.30/300.15  # SZS status Unsatisfiable
% 408.30/300.15  # SZS output start CNFRefutation
% See solution above
% 408.30/300.15  # Parsed axioms                        : 7
% 408.30/300.15  # Removed by relevancy pruning/SinE    : 0
% 408.30/300.15  # Initial clauses                      : 7
% 408.30/300.15  # Removed in clause preprocessing      : 0
% 408.30/300.15  # Initial clauses in saturation        : 7
% 408.30/300.15  # Processed clauses                    : 23
% 408.30/300.15  # ...of these trivial                  : 0
% 408.30/300.15  # ...subsumed                          : 0
% 408.30/300.15  # ...remaining for further processing  : 23
% 408.30/300.15  # Other redundant clauses eliminated   : 0
% 408.30/300.15  # Clauses deleted for lack of memory   : 0
% 408.30/300.15  # Backward-subsumed                    : 0
% 408.30/300.15  # Backward-rewritten                   : 0
% 408.30/300.15  # Generated clauses                    : 14
% 408.30/300.15  # ...of the previous two non-redundant : 12
% 408.30/300.15  # ...aggressively subsumed             : 0
% 408.30/300.15  # Contextual simplify-reflections      : 0
% 408.30/300.15  # Paramodulations                      : 14
% 408.30/300.15  # Factorizations                       : 0
% 408.30/300.15  # NegExts                              : 0
% 408.30/300.15  # Equation resolutions                 : 0
% 408.30/300.15  # Total rewrite steps                  : 0
% 408.30/300.15  # Propositional unsat checks           : 0
% 408.30/300.15  #    Propositional check models        : 0
% 408.30/300.15  #    Propositional check unsatisfiable : 0
% 408.30/300.15  #    Propositional clauses             : 0
% 408.30/300.15  #    Propositional clauses after purity: 0
% 408.30/300.15  #    Propositional unsat core size     : 0
% 408.30/300.15  #    Propositional preprocessing time  : 0.000
% 408.30/300.15  #    Propositional encoding time       : 0.000
% 408.30/300.15  #    Propositional solver time         : 0.000
% 408.30/300.15  #    Success case prop preproc time    : 0.000
% 408.30/300.15  #    Success case prop encoding time   : 0.000
% 408.30/300.15  #    Success case prop solver time     : 0.000
% 408.30/300.15  # Current number of processed clauses  : 16
% 408.30/300.15  #    Positive orientable unit clauses  : 1
% 408.30/300.15  #    Positive unorientable unit clauses: 0
% 408.30/300.15  #    Negative unit clauses             : 2
% 408.30/300.15  #    Non-unit-clauses                  : 13
% 408.30/300.15  # Current number of unprocessed clauses: 3
% 408.30/300.15  # ...number of literals in the above   : 9
% 408.30/300.15  # Current number of archived formulas  : 0
% 408.30/300.15  # Current number of archived clauses   : 7
% 408.30/300.15  # Clause-clause subsumption calls (NU) : 31
% 408.30/300.15  # Rec. Clause-clause subsumption calls : 30
% 408.30/300.15  # Non-unit clause-clause subsumptions  : 0
% 408.30/300.15  # Unit Clause-clause subsumption calls : 3
% 408.30/300.15  # Rewrite failures with RHS unbound    : 0
% 408.30/300.15  # BW rewrite match attempts            : 4
% 408.30/300.15  # BW rewrite match successes           : 0
% 408.30/300.15  # Condensation attempts                : 0
% 408.30/300.15  # Condensation successes               : 0
% 408.30/300.15  # Termbank termtop insertions          : 650
% 408.30/300.15  
% 408.30/300.15  # -------------------------------------------------
% 408.30/300.15  # User time                : 0.002 s
% 408.30/300.15  # System time              : 0.002 s
% 408.30/300.15  # Total time               : 0.004 s
% 408.30/300.15  # Maximum resident set size: 1640 pages
% 408.30/300.15  
% 408.30/300.15  # -------------------------------------------------
% 408.30/300.15  # User time                : 0.003 s
% 408.30/300.15  # System time              : 0.004 s
% 408.30/300.15  # Total time               : 0.007 s
% 408.30/300.15  # Maximum resident set size: 1676 pages
% 408.30/300.15  % E---3.1 exiting
%------------------------------------------------------------------------------