TSTP Solution File: SWV261-2 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SWV261-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n021.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 0.54s 0.54s
% Output   : CNFRefutation 0.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   29 (   8 unt;   6 nHn;  18 RR)
%            Number of literals    :   56 (   4 equ;  23 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   :   78 (   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.RAO4HTQkoo/E---3.1_30233.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.RAO4HTQkoo/E---3.1_30233.p',cls_Message_Oparts__mono_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.RAO4HTQkoo/E---3.1_30233.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.RAO4HTQkoo/E---3.1_30233.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.RAO4HTQkoo/E---3.1_30233.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.RAO4HTQkoo/E---3.1_30233.p',cls_Set_OsubsetI_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.RAO4HTQkoo/E---3.1_30233.p',cls_Message_Oparts__Un__subset2_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.RAO4HTQkoo/E---3.1_30233.p',cls_Set_OUnCI_1) ).

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.RAO4HTQkoo/E---3.1_30233.p',cls_conjecture_1) ).

cnf(cls_conjecture_0,negated_conjecture,
    c_in(v_X,v_G,tc_Message_Omsg),
    file('/export/starexec/sandbox2/tmp/tmp.RAO4HTQkoo/E---3.1_30233.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,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_13,axiom,
    ( c_in(X1,c_union(X4,X2,X3),X3)
    | ~ c_in(X1,X2,X3) ),
    cls_Set_OUnCI_0 ).

cnf(c_0_14,axiom,
    ( c_in(X1,X3,X4)
    | X1 = X2
    | ~ c_in(X1,c_insert(X2,X3,X4),X4) ),
    cls_Set_OinsertE_0 ).

cnf(c_0_15,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_16,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_17,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_18,axiom,
    ( c_in(X1,c_union(X2,X4,X3),X3)
    | ~ c_in(X1,X2,X3) ),
    cls_Set_OUnCI_1 ).

cnf(c_0_19,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_12,c_0_13]) ).

cnf(c_0_20,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_14,c_0_15]) ).

cnf(c_0_21,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_22,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_16,c_0_17]) ).

cnf(c_0_23,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_12,c_0_18]) ).

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_19,c_0_20]) ).

cnf(c_0_25,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_21,c_0_22]) ).

cnf(c_0_26,plain,
    ( c_lessequals(c_insert(X1,X2,X3),c_union(X4,X2,X3),tc_set(X3))
    | ~ c_in(X1,X4,X3) ),
    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(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.15  % Problem    : SWV261-2 : TPTP v8.1.2. Released v3.2.0.
% 0.04/0.16  % Command    : run_E %s %d THM
% 0.16/0.37  % Computer : n021.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit   : 2400
% 0.16/0.37  % WCLimit    : 300
% 0.16/0.37  % DateTime   : Tue Oct  3 03:37:14 EDT 2023
% 0.16/0.37  % CPUTime    : 
% 0.23/0.49  Running first-order model finding
% 0.23/0.50  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.RAO4HTQkoo/E---3.1_30233.p
% 0.54/0.54  # Version: 3.1pre001
% 0.54/0.54  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.54/0.54  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.54/0.54  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.54/0.54  # Starting new_bool_3 with 300s (1) cores
% 0.54/0.54  # Starting new_bool_1 with 300s (1) cores
% 0.54/0.54  # Starting sh5l with 300s (1) cores
% 0.54/0.54  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 30374 completed with status 0
% 0.54/0.54  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.54/0.54  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.54/0.54  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.54/0.54  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.54/0.54  # No SInE strategy applied
% 0.54/0.54  # Search class: FGUSF-FFSF32-SFFFFFNN
% 0.54/0.54  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.54/0.54  # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 0.54/0.54  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.54/0.54  # Starting new_bool_3 with 136s (1) cores
% 0.54/0.54  # Starting new_bool_1 with 136s (1) cores
% 0.54/0.54  # Starting sh5l with 136s (1) cores
% 0.54/0.54  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 30379 completed with status 0
% 0.54/0.54  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.54/0.54  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.54/0.54  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.54/0.54  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.54/0.54  # No SInE strategy applied
% 0.54/0.54  # Search class: FGUSF-FFSF32-SFFFFFNN
% 0.54/0.54  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.54/0.54  # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 0.54/0.54  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.54/0.54  # Preprocessing time       : 0.001 s
% 0.54/0.54  # Presaturation interreduction done
% 0.54/0.54  
% 0.54/0.54  # Proof found!
% 0.54/0.54  # SZS status Unsatisfiable
% 0.54/0.54  # SZS output start CNFRefutation
% See solution above
% 0.54/0.54  # Parsed axioms                        : 10
% 0.54/0.54  # Removed by relevancy pruning/SinE    : 0
% 0.54/0.54  # Initial clauses                      : 10
% 0.54/0.54  # Removed in clause preprocessing      : 0
% 0.54/0.54  # Initial clauses in saturation        : 10
% 0.54/0.54  # Processed clauses                    : 231
% 0.54/0.54  # ...of these trivial                  : 6
% 0.54/0.54  # ...subsumed                          : 72
% 0.54/0.54  # ...remaining for further processing  : 153
% 0.54/0.54  # Other redundant clauses eliminated   : 0
% 0.54/0.54  # Clauses deleted for lack of memory   : 0
% 0.54/0.54  # Backward-subsumed                    : 0
% 0.54/0.54  # Backward-rewritten                   : 0
% 0.54/0.54  # Generated clauses                    : 1717
% 0.54/0.54  # ...of the previous two non-redundant : 1652
% 0.54/0.54  # ...aggressively subsumed             : 0
% 0.54/0.54  # Contextual simplify-reflections      : 0
% 0.54/0.54  # Paramodulations                      : 1717
% 0.54/0.54  # Factorizations                       : 0
% 0.54/0.54  # NegExts                              : 0
% 0.54/0.54  # Equation resolutions                 : 0
% 0.54/0.54  # Total rewrite steps                  : 70
% 0.54/0.54  # Propositional unsat checks           : 0
% 0.54/0.54  #    Propositional check models        : 0
% 0.54/0.54  #    Propositional check unsatisfiable : 0
% 0.54/0.54  #    Propositional clauses             : 0
% 0.54/0.54  #    Propositional clauses after purity: 0
% 0.54/0.54  #    Propositional unsat core size     : 0
% 0.54/0.54  #    Propositional preprocessing time  : 0.000
% 0.54/0.54  #    Propositional encoding time       : 0.000
% 0.54/0.54  #    Propositional solver time         : 0.000
% 0.54/0.54  #    Success case prop preproc time    : 0.000
% 0.54/0.54  #    Success case prop encoding time   : 0.000
% 0.54/0.54  #    Success case prop solver time     : 0.000
% 0.54/0.54  # Current number of processed clauses  : 143
% 0.54/0.54  #    Positive orientable unit clauses  : 28
% 0.54/0.54  #    Positive unorientable unit clauses: 0
% 0.54/0.54  #    Negative unit clauses             : 5
% 0.54/0.54  #    Non-unit-clauses                  : 110
% 0.54/0.54  # Current number of unprocessed clauses: 1434
% 0.54/0.54  # ...number of literals in the above   : 2411
% 0.54/0.54  # Current number of archived formulas  : 0
% 0.54/0.54  # Current number of archived clauses   : 10
% 0.54/0.54  # Clause-clause subsumption calls (NU) : 2960
% 0.54/0.54  # Rec. Clause-clause subsumption calls : 2936
% 0.54/0.54  # Non-unit clause-clause subsumptions  : 72
% 0.54/0.54  # Unit Clause-clause subsumption calls : 12
% 0.54/0.54  # Rewrite failures with RHS unbound    : 0
% 0.54/0.54  # BW rewrite match attempts            : 92
% 0.54/0.54  # BW rewrite match successes           : 0
% 0.54/0.54  # Condensation attempts                : 0
% 0.54/0.54  # Condensation successes               : 0
% 0.54/0.54  # Termbank termtop insertions          : 31925
% 0.54/0.54  
% 0.54/0.54  # -------------------------------------------------
% 0.54/0.54  # User time                : 0.028 s
% 0.54/0.54  # System time              : 0.005 s
% 0.54/0.54  # Total time               : 0.033 s
% 0.54/0.54  # Maximum resident set size: 1588 pages
% 0.54/0.54  
% 0.54/0.54  # -------------------------------------------------
% 0.54/0.54  # User time                : 0.137 s
% 0.54/0.54  # System time              : 0.010 s
% 0.54/0.54  # Total time               : 0.148 s
% 0.54/0.54  # Maximum resident set size: 1676 pages
% 0.54/0.54  % E---3.1 exiting
%------------------------------------------------------------------------------