TSTP Solution File: SWV261-1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SWV261-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n005.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 19:56:33 EDT 2023

% Result   : Unsatisfiable 168.04s 21.89s
% Output   : CNFRefutation 168.04s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   29 (   9 unt;   6 nHn;  19 RR)
%            Number of literals    :   55 (   5 equ;  22 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   4 con; 0-3 aty)
%            Number of variables   :   74 (   4 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.akx6Q5E698/E---3.1_30734.p',cls_Set_Osubset__trans_0) ).

cnf(cls_Message_Oparts__mono_0,axiom,
    ( c_lessequals(c_Message_Oparts(X1),c_Message_Oparts(X2),tc_set(tc_Message_Omsg))
    | ~ c_lessequals(X1,X2,tc_set(tc_Message_Omsg)) ),
    file('/export/starexec/sandbox2/tmp/tmp.akx6Q5E698/E---3.1_30734.p',cls_Message_Oparts__mono_0) ).

cnf(cls_Message_Oparts__Un__subset2_0,axiom,
    c_lessequals(c_Message_Oparts(c_union(X1,X2,tc_Message_Omsg)),c_union(c_Message_Oparts(X1),c_Message_Oparts(X2),tc_Message_Omsg),tc_set(tc_Message_Omsg)),
    file('/export/starexec/sandbox2/tmp/tmp.akx6Q5E698/E---3.1_30734.p',cls_Message_Oparts__Un__subset2_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.akx6Q5E698/E---3.1_30734.p',cls_Set_OsubsetI_1) ).

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.akx6Q5E698/E---3.1_30734.p',cls_Set_OUnCI_0) ).

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.akx6Q5E698/E---3.1_30734.p',cls_Set_OinsertE_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.akx6Q5E698/E---3.1_30734.p',cls_Set_OsubsetI_0) ).

cnf(cls_conjecture_1,negated_conjecture,
    ~ c_lessequals(c_Message_Oparts(c_insert(v_X,v_H,tc_Message_Omsg)),c_union(c_Message_Oparts(v_G),c_Message_Oparts(v_H),tc_Message_Omsg),tc_set(tc_Message_Omsg)),
    file('/export/starexec/sandbox2/tmp/tmp.akx6Q5E698/E---3.1_30734.p',cls_conjecture_1) ).

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.akx6Q5E698/E---3.1_30734.p',cls_Set_OUnCI_1) ).

cnf(cls_conjecture_0,negated_conjecture,
    c_in(v_X,v_G,tc_Message_Omsg),
    file('/export/starexec/sandbox2/tmp/tmp.akx6Q5E698/E---3.1_30734.p',cls_conjecture_0) ).

cnf(c_0_10,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_11,axiom,
    ( c_lessequals(c_Message_Oparts(X1),c_Message_Oparts(X2),tc_set(tc_Message_Omsg))
    | ~ c_lessequals(X1,X2,tc_set(tc_Message_Omsg)) ),
    cls_Message_Oparts__mono_0 ).

cnf(c_0_12,plain,
    ( c_lessequals(c_Message_Oparts(X1),X2,tc_set(tc_Message_Omsg))
    | ~ c_lessequals(c_Message_Oparts(X3),X2,tc_set(tc_Message_Omsg))
    | ~ c_lessequals(X1,X3,tc_set(tc_Message_Omsg)) ),
    inference(spm,[status(thm)],[c_0_10,c_0_11]) ).

cnf(c_0_13,axiom,
    c_lessequals(c_Message_Oparts(c_union(X1,X2,tc_Message_Omsg)),c_union(c_Message_Oparts(X1),c_Message_Oparts(X2),tc_Message_Omsg),tc_set(tc_Message_Omsg)),
    cls_Message_Oparts__Un__subset2_0 ).

cnf(c_0_14,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_15,axiom,
    ( c_in(X1,c_union(X4,X2,X3),X3)
    | ~ c_in(X1,X2,X3) ),
    cls_Set_OUnCI_0 ).

cnf(c_0_16,axiom,
    ( c_in(X1,X3,X4)
    | X1 = X2
    | ~ c_in(X1,c_insert(X2,X3,X4),X4) ),
    cls_Set_OinsertE_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_lessequals(c_Message_Oparts(c_insert(v_X,v_H,tc_Message_Omsg)),c_union(c_Message_Oparts(v_G),c_Message_Oparts(v_H),tc_Message_Omsg),tc_set(tc_Message_Omsg)),
    cls_conjecture_1 ).

cnf(c_0_19,plain,
    ( c_lessequals(c_Message_Oparts(X1),c_union(c_Message_Oparts(X2),c_Message_Oparts(X3),tc_Message_Omsg),tc_set(tc_Message_Omsg))
    | ~ c_lessequals(X1,c_union(X2,X3,tc_Message_Omsg),tc_set(tc_Message_Omsg)) ),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_20,plain,
    ( c_lessequals(X1,c_union(X2,X3,X4),tc_set(X4))
    | ~ c_in(c_Main_OsubsetI__1(X1,c_union(X2,X3,X4),X4),X3,X4) ),
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_21,plain,
    ( c_Main_OsubsetI__1(c_insert(X1,X2,X3),X4,X3) = X1
    | c_lessequals(c_insert(X1,X2,X3),X4,tc_set(X3))
    | c_in(c_Main_OsubsetI__1(c_insert(X1,X2,X3),X4,X3),X2,X3) ),
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_22,axiom,
    ( c_in(X1,c_union(X2,X4,X3),X3)
    | ~ c_in(X1,X2,X3) ),
    cls_Set_OUnCI_1 ).

cnf(c_0_23,negated_conjecture,
    ~ c_lessequals(c_insert(v_X,v_H,tc_Message_Omsg),c_union(v_G,v_H,tc_Message_Omsg),tc_set(tc_Message_Omsg)),
    inference(spm,[status(thm)],[c_0_18,c_0_19]) ).

cnf(c_0_24,plain,
    ( c_Main_OsubsetI__1(c_insert(X1,X2,X3),c_union(X4,X2,X3),X3) = X1
    | c_lessequals(c_insert(X1,X2,X3),c_union(X4,X2,X3),tc_set(X3)) ),
    inference(spm,[status(thm)],[c_0_20,c_0_21]) ).

cnf(c_0_25,plain,
    ( c_lessequals(X1,c_union(X2,X3,X4),tc_set(X4))
    | ~ c_in(c_Main_OsubsetI__1(X1,c_union(X2,X3,X4),X4),X2,X4) ),
    inference(spm,[status(thm)],[c_0_14,c_0_22]) ).

cnf(c_0_26,negated_conjecture,
    c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg) = v_X,
    inference(spm,[status(thm)],[c_0_23,c_0_24]) ).

cnf(c_0_27,negated_conjecture,
    c_in(v_X,v_G,tc_Message_Omsg),
    cls_conjecture_0 ).

cnf(c_0_28,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27])]),c_0_23]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.10  % Problem    : SWV261-1 : TPTP v8.1.2. Released v3.2.0.
% 0.08/0.11  % Command    : run_E %s %d THM
% 0.11/0.31  % Computer : n005.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit   : 2400
% 0.11/0.31  % WCLimit    : 300
% 0.11/0.31  % DateTime   : Tue Oct  3 04:11:31 EDT 2023
% 0.15/0.31  % CPUTime    : 
% 0.15/0.51  Running first-order model finding
% 0.15/0.51  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.akx6Q5E698/E---3.1_30734.p
% 168.04/21.89  # Version: 3.1pre001
% 168.04/21.89  # Preprocessing class: FMLMSMSMSSSNFFN.
% 168.04/21.89  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 168.04/21.89  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 168.04/21.89  # Starting new_bool_3 with 300s (1) cores
% 168.04/21.89  # Starting new_bool_1 with 300s (1) cores
% 168.04/21.89  # Starting sh5l with 300s (1) cores
% 168.04/21.89  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 30811 completed with status 0
% 168.04/21.89  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 168.04/21.89  # Preprocessing class: FMLMSMSMSSSNFFN.
% 168.04/21.89  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 168.04/21.89  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 168.04/21.89  # No SInE strategy applied
% 168.04/21.89  # Search class: FGHSM-SSLM32-MFFFFFNN
% 168.04/21.89  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 168.04/21.89  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 811s (1) cores
% 168.04/21.89  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 168.04/21.89  # Starting G-E--_208_C12_02_nc_F1_SE_CS_SP_PS_S5PRR_RG_S070I with 136s (1) cores
% 168.04/21.89  # Starting G-E--_208_C47_F1_SE_CS_SP_PS_S0Y with 136s (1) cores
% 168.04/21.89  # Starting SAT001_MinMin_p005000_rr_RG with 136s (1) cores
% 168.04/21.89  # G-E--_208_C47_F1_SE_CS_SP_PS_S0Y with pid 30820 completed with status 0
% 168.04/21.89  # Result found by G-E--_208_C47_F1_SE_CS_SP_PS_S0Y
% 168.04/21.89  # Preprocessing class: FMLMSMSMSSSNFFN.
% 168.04/21.89  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 168.04/21.89  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 168.04/21.89  # No SInE strategy applied
% 168.04/21.89  # Search class: FGHSM-SSLM32-MFFFFFNN
% 168.04/21.89  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 168.04/21.89  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 811s (1) cores
% 168.04/21.89  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 168.04/21.89  # Starting G-E--_208_C12_02_nc_F1_SE_CS_SP_PS_S5PRR_RG_S070I with 136s (1) cores
% 168.04/21.89  # Starting G-E--_208_C47_F1_SE_CS_SP_PS_S0Y with 136s (1) cores
% 168.04/21.89  # Preprocessing time       : 0.009 s
% 168.04/21.89  # Presaturation interreduction done
% 168.04/21.89  
% 168.04/21.89  # Proof found!
% 168.04/21.89  # SZS status Unsatisfiable
% 168.04/21.89  # SZS output start CNFRefutation
% See solution above
% 168.04/21.89  # Parsed axioms                        : 1403
% 168.04/21.89  # Removed by relevancy pruning/SinE    : 0
% 168.04/21.89  # Initial clauses                      : 1403
% 168.04/21.89  # Removed in clause preprocessing      : 1
% 168.04/21.89  # Initial clauses in saturation        : 1402
% 168.04/21.89  # Processed clauses                    : 48933
% 168.04/21.89  # ...of these trivial                  : 1700
% 168.04/21.89  # ...subsumed                          : 39374
% 168.04/21.89  # ...remaining for further processing  : 7859
% 168.04/21.89  # Other redundant clauses eliminated   : 243
% 168.04/21.89  # Clauses deleted for lack of memory   : 0
% 168.04/21.89  # Backward-subsumed                    : 252
% 168.04/21.89  # Backward-rewritten                   : 539
% 168.04/21.89  # Generated clauses                    : 627064
% 168.04/21.89  # ...of the previous two non-redundant : 545713
% 168.04/21.89  # ...aggressively subsumed             : 0
% 168.04/21.89  # Contextual simplify-reflections      : 17
% 168.04/21.89  # Paramodulations                      : 626665
% 168.04/21.89  # Factorizations                       : 114
% 168.04/21.89  # NegExts                              : 0
% 168.04/21.89  # Equation resolutions                 : 285
% 168.04/21.89  # Total rewrite steps                  : 970167
% 168.04/21.89  # Propositional unsat checks           : 0
% 168.04/21.89  #    Propositional check models        : 0
% 168.04/21.89  #    Propositional check unsatisfiable : 0
% 168.04/21.89  #    Propositional clauses             : 0
% 168.04/21.89  #    Propositional clauses after purity: 0
% 168.04/21.89  #    Propositional unsat core size     : 0
% 168.04/21.89  #    Propositional preprocessing time  : 0.000
% 168.04/21.89  #    Propositional encoding time       : 0.000
% 168.04/21.89  #    Propositional solver time         : 0.000
% 168.04/21.89  #    Success case prop preproc time    : 0.000
% 168.04/21.89  #    Success case prop encoding time   : 0.000
% 168.04/21.89  #    Success case prop solver time     : 0.000
% 168.04/21.89  # Current number of processed clauses  : 5705
% 168.04/21.89  #    Positive orientable unit clauses  : 635
% 168.04/21.89  #    Positive unorientable unit clauses: 0
% 168.04/21.89  #    Negative unit clauses             : 380
% 168.04/21.89  #    Non-unit-clauses                  : 4690
% 168.04/21.89  # Current number of unprocessed clauses: 494409
% 168.04/21.89  # ...number of literals in the above   : 1633070
% 168.04/21.89  # Current number of archived formulas  : 0
% 168.04/21.89  # Current number of archived clauses   : 2154
% 168.04/21.89  # Clause-clause subsumption calls (NU) : 9966655
% 168.04/21.89  # Rec. Clause-clause subsumption calls : 7755536
% 168.04/21.89  # Non-unit clause-clause subsumptions  : 18678
% 168.04/21.89  # Unit Clause-clause subsumption calls : 63000
% 168.04/21.89  # Rewrite failures with RHS unbound    : 0
% 168.04/21.89  # BW rewrite match attempts            : 2936
% 168.04/21.89  # BW rewrite match successes           : 260
% 168.04/21.89  # Condensation attempts                : 0
% 168.04/21.89  # Condensation successes               : 0
% 168.04/21.89  # Termbank termtop insertions          : 25522286
% 168.04/21.89  
% 168.04/21.89  # -------------------------------------------------
% 168.04/21.89  # User time                : 20.288 s
% 168.04/21.89  # System time              : 0.528 s
% 168.04/21.89  # Total time               : 20.816 s
% 168.04/21.89  # Maximum resident set size: 3796 pages
% 168.04/21.89  
% 168.04/21.89  # -------------------------------------------------
% 168.04/21.89  # User time                : 100.896 s
% 168.04/21.89  # System time              : 3.019 s
% 168.04/21.89  # Total time               : 103.916 s
% 168.04/21.89  # Maximum resident set size: 2432 pages
% 168.04/21.89  % E---3.1 exiting
%------------------------------------------------------------------------------