TSTP Solution File: SET842-1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SET842-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n020.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   : Unsatisfiable 0.42s 0.82s
% Output   : CNFRefutation 0.42s
% 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/sandbox2/tmp/tmp.rvrs6PWByl/E---3.1_18451.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/sandbox2/tmp/tmp.rvrs6PWByl/E---3.1_18451.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/sandbox2/tmp/tmp.rvrs6PWByl/E---3.1_18451.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/sandbox2/tmp/tmp.rvrs6PWByl/E---3.1_18451.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/sandbox2/tmp/tmp.rvrs6PWByl/E---3.1_18451.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/sandbox2/tmp/tmp.rvrs6PWByl/E---3.1_18451.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/sandbox2/tmp/tmp.rvrs6PWByl/E---3.1_18451.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_lessequals(c_Union(v_Y,tc_set(t_a)),X1,tc_set(tc_set(t_a)))
    | 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)) ),
    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    : SET842-1 : TPTP v8.1.2. Released v3.2.0.
% 0.12/0.13  % Command    : run_E %s %d THM
% 0.13/0.34  % Computer : n020.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 2400
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Mon Oct  2 17:00:01 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.39/0.58  Running first-order model finding
% 0.39/0.58  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.rvrs6PWByl/E---3.1_18451.p
% 0.42/0.82  # Version: 3.1pre001
% 0.42/0.82  # Preprocessing class: FMLMSMSMSSSNFFN.
% 0.42/0.82  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.42/0.82  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.42/0.82  # Starting new_bool_3 with 300s (1) cores
% 0.42/0.82  # Starting new_bool_1 with 300s (1) cores
% 0.42/0.82  # Starting sh5l with 300s (1) cores
% 0.42/0.82  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 18538 completed with status 0
% 0.42/0.82  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.42/0.82  # Preprocessing class: FMLMSMSMSSSNFFN.
% 0.42/0.82  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.42/0.82  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.42/0.82  # No SInE strategy applied
% 0.42/0.82  # Search class: FGHSM-SSLM33-MFFFFFNN
% 0.42/0.82  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.42/0.82  # Starting G-E--_208_B07AMC_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 811s (1) cores
% 0.42/0.82  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.42/0.82  # Starting new_bool_3 with 136s (1) cores
% 0.42/0.82  # Starting G-E--_200_B02_F1_SE_CS_SP_PI_S2k with 136s (1) cores
% 0.42/0.82  # Starting G-E--_207_B07_F1_AE_CS_SP_PS_S0Y with 136s (1) cores
% 0.42/0.82  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 18554 completed with status 0
% 0.42/0.82  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.42/0.82  # Preprocessing class: FMLMSMSMSSSNFFN.
% 0.42/0.82  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.42/0.82  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.42/0.82  # No SInE strategy applied
% 0.42/0.82  # Search class: FGHSM-SSLM33-MFFFFFNN
% 0.42/0.82  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.42/0.82  # Starting G-E--_208_B07AMC_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 811s (1) cores
% 0.42/0.82  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.42/0.82  # Preprocessing time       : 0.011 s
% 0.42/0.82  # Presaturation interreduction done
% 0.42/0.82  
% 0.42/0.82  # Proof found!
% 0.42/0.82  # SZS status Unsatisfiable
% 0.42/0.82  # SZS output start CNFRefutation
% See solution above
% 0.42/0.82  # Parsed axioms                        : 1363
% 0.42/0.82  # Removed by relevancy pruning/SinE    : 0
% 0.42/0.82  # Initial clauses                      : 1363
% 0.42/0.82  # Removed in clause preprocessing      : 1
% 0.42/0.82  # Initial clauses in saturation        : 1362
% 0.42/0.82  # Processed clauses                    : 5426
% 0.42/0.82  # ...of these trivial                  : 9
% 0.42/0.82  # ...subsumed                          : 2700
% 0.42/0.82  # ...remaining for further processing  : 2717
% 0.42/0.82  # Other redundant clauses eliminated   : 31
% 0.42/0.82  # Clauses deleted for lack of memory   : 0
% 0.42/0.82  # Backward-subsumed                    : 0
% 0.42/0.82  # Backward-rewritten                   : 6
% 0.42/0.82  # Generated clauses                    : 4671
% 0.42/0.82  # ...of the previous two non-redundant : 3763
% 0.42/0.82  # ...aggressively subsumed             : 0
% 0.42/0.82  # Contextual simplify-reflections      : 1
% 0.42/0.82  # Paramodulations                      : 4610
% 0.42/0.82  # Factorizations                       : 0
% 0.42/0.82  # NegExts                              : 0
% 0.42/0.82  # Equation resolutions                 : 61
% 0.42/0.82  # Total rewrite steps                  : 838
% 0.42/0.82  # Propositional unsat checks           : 0
% 0.42/0.82  #    Propositional check models        : 0
% 0.42/0.82  #    Propositional check unsatisfiable : 0
% 0.42/0.82  #    Propositional clauses             : 0
% 0.42/0.82  #    Propositional clauses after purity: 0
% 0.42/0.82  #    Propositional unsat core size     : 0
% 0.42/0.82  #    Propositional preprocessing time  : 0.000
% 0.42/0.82  #    Propositional encoding time       : 0.000
% 0.42/0.82  #    Propositional solver time         : 0.000
% 0.42/0.82  #    Success case prop preproc time    : 0.000
% 0.42/0.82  #    Success case prop encoding time   : 0.000
% 0.42/0.82  #    Success case prop solver time     : 0.000
% 0.42/0.82  # Current number of processed clauses  : 1385
% 0.42/0.82  #    Positive orientable unit clauses  : 186
% 0.42/0.82  #    Positive unorientable unit clauses: 0
% 0.42/0.82  #    Negative unit clauses             : 29
% 0.42/0.82  #    Non-unit-clauses                  : 1170
% 0.42/0.82  # Current number of unprocessed clauses: 1021
% 0.42/0.82  # ...number of literals in the above   : 2583
% 0.42/0.82  # Current number of archived formulas  : 0
% 0.42/0.82  # Current number of archived clauses   : 1332
% 0.42/0.82  # Clause-clause subsumption calls (NU) : 1275364
% 0.42/0.82  # Rec. Clause-clause subsumption calls : 1201030
% 0.42/0.82  # Non-unit clause-clause subsumptions  : 2679
% 0.42/0.82  # Unit Clause-clause subsumption calls : 14713
% 0.42/0.82  # Rewrite failures with RHS unbound    : 0
% 0.42/0.82  # BW rewrite match attempts            : 74
% 0.42/0.82  # BW rewrite match successes           : 6
% 0.42/0.82  # Condensation attempts                : 0
% 0.42/0.82  # Condensation successes               : 0
% 0.42/0.82  # Termbank termtop insertions          : 72646
% 0.42/0.82  
% 0.42/0.82  # -------------------------------------------------
% 0.42/0.82  # User time                : 0.199 s
% 0.42/0.82  # System time              : 0.011 s
% 0.42/0.82  # Total time               : 0.210 s
% 0.42/0.82  # Maximum resident set size: 3728 pages
% 0.42/0.82  
% 0.42/0.82  # -------------------------------------------------
% 0.42/0.82  # User time                : 0.968 s
% 0.42/0.82  # System time              : 0.043 s
% 0.42/0.82  # Total time               : 1.011 s
% 0.42/0.82  # Maximum resident set size: 2400 pages
% 0.42/0.82  % E---3.1 exiting
%------------------------------------------------------------------------------