TSTP Solution File: SWV260-1 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : SWV260-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n001.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 19:43:55 EDT 2023

% Result   : Unsatisfiable 194.98s 26.45s
% Output   : CNFRefutation 194.98s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   35 (   9 unt;   8 nHn;  24 RR)
%            Number of literals    :   66 (   5 equ;  24 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   5 con; 0-3 aty)
%            Number of variables   :   61 (   5 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_Message_Oparts__trans_0,axiom,
    ( c_in(X1,c_Message_Oparts(X3),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | ~ c_lessequals(X2,c_Message_Oparts(X3),tc_set(tc_Message_Omsg)) ),
    file('/export/starexec/sandbox2/tmp/tmp.k0vsP5a4KL/E---3.1_3125.p',cls_Message_Oparts__trans_0) ).

cnf(cls_conjecture_0,negated_conjecture,
    c_in(v_Y,c_Message_Oparts(c_insert(v_X,v_G,tc_Message_Omsg)),tc_Message_Omsg),
    file('/export/starexec/sandbox2/tmp/tmp.k0vsP5a4KL/E---3.1_3125.p',cls_conjecture_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.k0vsP5a4KL/E---3.1_3125.p',cls_Set_OsubsetI_1) ).

cnf(cls_conjecture_1,negated_conjecture,
    c_in(v_X,c_Message_Oparts(v_H),tc_Message_Omsg),
    file('/export/starexec/sandbox2/tmp/tmp.k0vsP5a4KL/E---3.1_3125.p',cls_conjecture_1) ).

cnf(cls_Message_Oparts_OInj_0,axiom,
    ( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | ~ c_in(X1,X2,tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/tmp/tmp.k0vsP5a4KL/E---3.1_3125.p',cls_Message_Oparts_OInj_0) ).

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.k0vsP5a4KL/E---3.1_3125.p',cls_Set_OsubsetI_0) ).

cnf(cls_Set_OUnCI_1,axiom,
    ( c_in(X1,c_union(X2,X4,X3),X3)
    | ~ c_in(X1,X2,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.k0vsP5a4KL/E---3.1_3125.p',cls_Set_OUnCI_1) ).

cnf(cls_Set_OinsertE_0,axiom,
    ( c_in(X1,X3,X4)
    | X1 = X2
    | ~ c_in(X1,c_insert(X2,X3,X4),X4) ),
    file('/export/starexec/sandbox2/tmp/tmp.k0vsP5a4KL/E---3.1_3125.p',cls_Set_OinsertE_0) ).

cnf(cls_Set_OUnCI_0,axiom,
    ( c_in(X1,c_union(X4,X2,X3),X3)
    | ~ c_in(X1,X2,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.k0vsP5a4KL/E---3.1_3125.p',cls_Set_OUnCI_0) ).

cnf(cls_conjecture_2,negated_conjecture,
    ~ c_in(v_Y,c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),
    file('/export/starexec/sandbox2/tmp/tmp.k0vsP5a4KL/E---3.1_3125.p',cls_conjecture_2) ).

cnf(c_0_10,axiom,
    ( c_in(X1,c_Message_Oparts(X3),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | ~ c_lessequals(X2,c_Message_Oparts(X3),tc_set(tc_Message_Omsg)) ),
    cls_Message_Oparts__trans_0 ).

cnf(c_0_11,negated_conjecture,
    c_in(v_Y,c_Message_Oparts(c_insert(v_X,v_G,tc_Message_Omsg)),tc_Message_Omsg),
    cls_conjecture_0 ).

cnf(c_0_12,negated_conjecture,
    ( c_in(v_Y,c_Message_Oparts(X1),tc_Message_Omsg)
    | ~ c_lessequals(c_insert(v_X,v_G,tc_Message_Omsg),c_Message_Oparts(X1),tc_set(tc_Message_Omsg)) ),
    inference(spm,[status(thm)],[c_0_10,c_0_11]) ).

cnf(c_0_13,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_14,negated_conjecture,
    c_in(v_X,c_Message_Oparts(v_H),tc_Message_Omsg),
    cls_conjecture_1 ).

cnf(c_0_15,negated_conjecture,
    ( c_in(v_Y,c_Message_Oparts(X1),tc_Message_Omsg)
    | ~ c_in(c_Main_OsubsetI__1(c_insert(v_X,v_G,tc_Message_Omsg),c_Message_Oparts(X1),tc_Message_Omsg),c_Message_Oparts(X1),tc_Message_Omsg) ),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_16,axiom,
    ( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | ~ c_in(X1,X2,tc_Message_Omsg) ),
    cls_Message_Oparts_OInj_0 ).

cnf(c_0_17,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_18,negated_conjecture,
    ( c_in(v_X,c_Message_Oparts(X1),tc_Message_Omsg)
    | ~ c_lessequals(v_H,c_Message_Oparts(X1),tc_set(tc_Message_Omsg)) ),
    inference(spm,[status(thm)],[c_0_10,c_0_14]) ).

cnf(c_0_19,negated_conjecture,
    ( c_in(v_Y,c_Message_Oparts(X1),tc_Message_Omsg)
    | ~ c_in(c_Main_OsubsetI__1(c_insert(v_X,v_G,tc_Message_Omsg),c_Message_Oparts(X1),tc_Message_Omsg),X1,tc_Message_Omsg) ),
    inference(spm,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_20,axiom,
    ( c_in(X1,c_union(X2,X4,X3),X3)
    | ~ c_in(X1,X2,X3) ),
    cls_Set_OUnCI_1 ).

cnf(c_0_21,axiom,
    ( c_in(X1,X3,X4)
    | X1 = X2
    | ~ c_in(X1,c_insert(X2,X3,X4),X4) ),
    cls_Set_OinsertE_0 ).

cnf(c_0_22,negated_conjecture,
    ( c_in(c_Main_OsubsetI__1(c_insert(v_X,v_G,tc_Message_Omsg),c_Message_Oparts(X1),tc_Message_Omsg),c_insert(v_X,v_G,tc_Message_Omsg),tc_Message_Omsg)
    | c_in(v_Y,c_Message_Oparts(X1),tc_Message_Omsg) ),
    inference(spm,[status(thm)],[c_0_12,c_0_17]) ).

cnf(c_0_23,negated_conjecture,
    ( c_in(v_X,c_Message_Oparts(X1),tc_Message_Omsg)
    | ~ c_in(c_Main_OsubsetI__1(v_H,c_Message_Oparts(X1),tc_Message_Omsg),c_Message_Oparts(X1),tc_Message_Omsg) ),
    inference(spm,[status(thm)],[c_0_18,c_0_13]) ).

cnf(c_0_24,negated_conjecture,
    ( c_in(v_Y,c_Message_Oparts(c_union(X1,X2,tc_Message_Omsg)),tc_Message_Omsg)
    | ~ c_in(c_Main_OsubsetI__1(c_insert(v_X,v_G,tc_Message_Omsg),c_Message_Oparts(c_union(X1,X2,tc_Message_Omsg)),tc_Message_Omsg),X1,tc_Message_Omsg) ),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_25,negated_conjecture,
    ( c_Main_OsubsetI__1(c_insert(v_X,v_G,tc_Message_Omsg),c_Message_Oparts(X1),tc_Message_Omsg) = v_X
    | c_in(c_Main_OsubsetI__1(c_insert(v_X,v_G,tc_Message_Omsg),c_Message_Oparts(X1),tc_Message_Omsg),v_G,tc_Message_Omsg)
    | c_in(v_Y,c_Message_Oparts(X1),tc_Message_Omsg) ),
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

cnf(c_0_26,negated_conjecture,
    ( c_in(v_X,c_Message_Oparts(X1),tc_Message_Omsg)
    | ~ c_in(c_Main_OsubsetI__1(v_H,c_Message_Oparts(X1),tc_Message_Omsg),X1,tc_Message_Omsg) ),
    inference(spm,[status(thm)],[c_0_23,c_0_16]) ).

cnf(c_0_27,axiom,
    ( c_in(X1,c_union(X4,X2,X3),X3)
    | ~ c_in(X1,X2,X3) ),
    cls_Set_OUnCI_0 ).

cnf(c_0_28,negated_conjecture,
    ~ c_in(v_Y,c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),
    cls_conjecture_2 ).

cnf(c_0_29,negated_conjecture,
    ( c_Main_OsubsetI__1(c_insert(v_X,v_G,tc_Message_Omsg),c_Message_Oparts(c_union(v_G,X1,tc_Message_Omsg)),tc_Message_Omsg) = v_X
    | c_in(v_Y,c_Message_Oparts(c_union(v_G,X1,tc_Message_Omsg)),tc_Message_Omsg) ),
    inference(spm,[status(thm)],[c_0_24,c_0_25]) ).

cnf(c_0_30,negated_conjecture,
    ( c_in(v_X,c_Message_Oparts(c_union(X1,X2,tc_Message_Omsg)),tc_Message_Omsg)
    | ~ c_in(c_Main_OsubsetI__1(v_H,c_Message_Oparts(c_union(X1,X2,tc_Message_Omsg)),tc_Message_Omsg),X2,tc_Message_Omsg) ),
    inference(spm,[status(thm)],[c_0_26,c_0_27]) ).

cnf(c_0_31,negated_conjecture,
    ( c_in(c_Main_OsubsetI__1(v_H,c_Message_Oparts(X1),tc_Message_Omsg),v_H,tc_Message_Omsg)
    | c_in(v_X,c_Message_Oparts(X1),tc_Message_Omsg) ),
    inference(spm,[status(thm)],[c_0_18,c_0_17]) ).

cnf(c_0_32,negated_conjecture,
    c_Main_OsubsetI__1(c_insert(v_X,v_G,tc_Message_Omsg),c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg) = v_X,
    inference(spm,[status(thm)],[c_0_28,c_0_29]) ).

cnf(c_0_33,negated_conjecture,
    c_in(v_X,c_Message_Oparts(c_union(X1,v_H,tc_Message_Omsg)),tc_Message_Omsg),
    inference(spm,[status(thm)],[c_0_30,c_0_31]) ).

cnf(c_0_34,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_32]),c_0_33])]),c_0_28]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.21  % Problem    : SWV260-1 : TPTP v8.1.2. Released v3.2.0.
% 0.12/0.22  % Command    : run_E %s %d THM
% 0.22/0.42  % Computer : n001.cluster.edu
% 0.22/0.42  % Model    : x86_64 x86_64
% 0.22/0.42  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.22/0.42  % Memory   : 8042.1875MB
% 0.22/0.42  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.22/0.42  % CPULimit   : 2400
% 0.22/0.42  % WCLimit    : 300
% 0.22/0.42  % DateTime   : Tue Oct  3 04:32:07 EDT 2023
% 0.22/0.42  % CPUTime    : 
% 0.45/0.65  Running first-order theorem proving
% 0.45/0.65  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.k0vsP5a4KL/E---3.1_3125.p
% 194.98/26.45  # Version: 3.1pre001
% 194.98/26.45  # Preprocessing class: FMLMSMSMSSSNFFN.
% 194.98/26.45  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 194.98/26.45  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 194.98/26.45  # Starting new_bool_3 with 300s (1) cores
% 194.98/26.45  # Starting new_bool_1 with 300s (1) cores
% 194.98/26.45  # Starting sh5l with 300s (1) cores
% 194.98/26.45  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 3203 completed with status 0
% 194.98/26.45  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 194.98/26.45  # Preprocessing class: FMLMSMSMSSSNFFN.
% 194.98/26.45  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 194.98/26.45  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 194.98/26.45  # No SInE strategy applied
% 194.98/26.45  # Search class: FGHSM-SSLM32-MFFFFFNN
% 194.98/26.45  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 194.98/26.45  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 811s (1) cores
% 194.98/26.45  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 194.98/26.45  # Starting G-E--_208_C12_02_nc_F1_SE_CS_SP_PS_S5PRR_RG_S070I with 136s (1) cores
% 194.98/26.45  # Starting G-E--_208_C47_F1_SE_CS_SP_PS_S0Y with 136s (1) cores
% 194.98/26.45  # Starting SAT001_MinMin_p005000_rr_RG with 136s (1) cores
% 194.98/26.45  # G-E--_208_C12_02_nc_F1_SE_CS_SP_PS_S5PRR_RG_S070I with pid 3211 completed with status 0
% 194.98/26.45  # Result found by G-E--_208_C12_02_nc_F1_SE_CS_SP_PS_S5PRR_RG_S070I
% 194.98/26.45  # Preprocessing class: FMLMSMSMSSSNFFN.
% 194.98/26.45  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 194.98/26.45  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 194.98/26.45  # No SInE strategy applied
% 194.98/26.45  # Search class: FGHSM-SSLM32-MFFFFFNN
% 194.98/26.45  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 194.98/26.45  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 811s (1) cores
% 194.98/26.45  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 194.98/26.45  # Starting G-E--_208_C12_02_nc_F1_SE_CS_SP_PS_S5PRR_RG_S070I with 136s (1) cores
% 194.98/26.45  # Preprocessing time       : 0.016 s
% 194.98/26.45  # Presaturation interreduction done
% 194.98/26.45  
% 194.98/26.45  # Proof found!
% 194.98/26.45  # SZS status Unsatisfiable
% 194.98/26.45  # SZS output start CNFRefutation
% See solution above
% 194.98/26.45  # Parsed axioms                        : 1384
% 194.98/26.45  # Removed by relevancy pruning/SinE    : 0
% 194.98/26.45  # Initial clauses                      : 1384
% 194.98/26.45  # Removed in clause preprocessing      : 1
% 194.98/26.45  # Initial clauses in saturation        : 1383
% 194.98/26.45  # Processed clauses                    : 51366
% 194.98/26.45  # ...of these trivial                  : 870
% 194.98/26.45  # ...subsumed                          : 40412
% 194.98/26.45  # ...remaining for further processing  : 10084
% 194.98/26.45  # Other redundant clauses eliminated   : 13
% 194.98/26.45  # Clauses deleted for lack of memory   : 0
% 194.98/26.45  # Backward-subsumed                    : 123
% 194.98/26.45  # Backward-rewritten                   : 483
% 194.98/26.45  # Generated clauses                    : 649396
% 194.98/26.45  # ...of the previous two non-redundant : 530664
% 194.98/26.45  # ...aggressively subsumed             : 0
% 194.98/26.45  # Contextual simplify-reflections      : 19
% 194.98/26.45  # Paramodulations                      : 649314
% 194.98/26.45  # Factorizations                       : 16
% 194.98/26.45  # NegExts                              : 0
% 194.98/26.45  # Equation resolutions                 : 66
% 194.98/26.45  # Total rewrite steps                  : 749127
% 194.98/26.45  # Propositional unsat checks           : 2
% 194.98/26.45  #    Propositional check models        : 0
% 194.98/26.45  #    Propositional check unsatisfiable : 0
% 194.98/26.45  #    Propositional clauses             : 0
% 194.98/26.45  #    Propositional clauses after purity: 0
% 194.98/26.45  #    Propositional unsat core size     : 0
% 194.98/26.45  #    Propositional preprocessing time  : 0.000
% 194.98/26.45  #    Propositional encoding time       : 4.072
% 194.98/26.45  #    Propositional solver time         : 1.170
% 194.98/26.45  #    Success case prop preproc time    : 0.000
% 194.98/26.45  #    Success case prop encoding time   : 0.000
% 194.98/26.45  #    Success case prop solver time     : 0.000
% 194.98/26.45  # Current number of processed clauses  : 8134
% 194.98/26.45  #    Positive orientable unit clauses  : 1299
% 194.98/26.45  #    Positive unorientable unit clauses: 0
% 194.98/26.45  #    Negative unit clauses             : 747
% 194.98/26.45  #    Non-unit-clauses                  : 6088
% 194.98/26.45  # Current number of unprocessed clauses: 475056
% 194.98/26.45  # ...number of literals in the above   : 1140733
% 194.98/26.45  # Current number of archived formulas  : 0
% 194.98/26.45  # Current number of archived clauses   : 1950
% 194.98/26.45  # Clause-clause subsumption calls (NU) : 8235734
% 194.98/26.45  # Rec. Clause-clause subsumption calls : 7450111
% 194.98/26.45  # Non-unit clause-clause subsumptions  : 13714
% 194.98/26.45  # Unit Clause-clause subsumption calls : 315206
% 194.98/26.45  # Rewrite failures with RHS unbound    : 0
% 194.98/26.45  # BW rewrite match attempts            : 38538
% 194.98/26.45  # BW rewrite match successes           : 241
% 194.98/26.45  # Condensation attempts                : 0
% 194.98/26.45  # Condensation successes               : 0
% 194.98/26.45  # Termbank termtop insertions          : 43705240
% 194.98/26.45  
% 194.98/26.45  # -------------------------------------------------
% 194.98/26.45  # User time                : 23.175 s
% 194.98/26.45  # System time              : 0.666 s
% 194.98/26.45  # Total time               : 23.841 s
% 194.98/26.45  # Maximum resident set size: 3748 pages
% 194.98/26.45  
% 194.98/26.45  # -------------------------------------------------
% 194.98/26.45  # User time                : 118.314 s
% 194.98/26.45  # System time              : 3.321 s
% 194.98/26.45  # Total time               : 121.635 s
% 194.98/26.45  # Maximum resident set size: 2416 pages
% 194.98/26.45  % E---3.1 exiting
% 194.98/26.45  % E---3.1 exiting
%------------------------------------------------------------------------------