TSTP Solution File: SWV275-2 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : SWV275-2 : 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 19:43:59 EDT 2023

% Result   : Unsatisfiable 229.09s 29.31s
% Output   : CNFRefutation 229.09s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   28 (   7 unt;   6 nHn;  18 RR)
%            Number of literals    :   55 (   5 equ;  22 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    :    7 (   7 usr;   3 con; 0-3 aty)
%            Number of variables   :   75 (   6 sgn)

% Comments : 
%------------------------------------------------------------------------------
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.SkJDWp2uJt/E---3.1_26255.p',cls_Set_OsubsetI_1) ).

cnf(cls_Set_OinsertCI_0,axiom,
    ( c_in(X1,c_insert(X4,X2,X3),X3)
    | ~ c_in(X1,X2,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.SkJDWp2uJt/E---3.1_26255.p',cls_Set_OinsertCI_0) ).

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.SkJDWp2uJt/E---3.1_26255.p',cls_Set_OsubsetD_0) ).

cnf(cls_Message_Osynth__mono_0,axiom,
    ( c_lessequals(c_Message_Osynth(X1),c_Message_Osynth(X2),tc_set(tc_Message_Omsg))
    | ~ c_lessequals(X1,X2,tc_set(tc_Message_Omsg)) ),
    file('/export/starexec/sandbox/tmp/tmp.SkJDWp2uJt/E---3.1_26255.p',cls_Message_Osynth__mono_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/sandbox/tmp/tmp.SkJDWp2uJt/E---3.1_26255.p',cls_Set_OsubsetI_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/sandbox/tmp/tmp.SkJDWp2uJt/E---3.1_26255.p',cls_Set_OinsertE_0) ).

cnf(cls_Message_Osynth_OInj_0,axiom,
    ( c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
    | ~ c_in(X1,X2,tc_Message_Omsg) ),
    file('/export/starexec/sandbox/tmp/tmp.SkJDWp2uJt/E---3.1_26255.p',cls_Message_Osynth_OInj_0) ).

cnf(cls_conjecture_0,negated_conjecture,
    ~ c_lessequals(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
    file('/export/starexec/sandbox/tmp/tmp.SkJDWp2uJt/E---3.1_26255.p',cls_conjecture_0) ).

cnf(cls_Set_OinsertCI_1,axiom,
    c_in(X1,c_insert(X1,X2,X3),X3),
    file('/export/starexec/sandbox/tmp/tmp.SkJDWp2uJt/E---3.1_26255.p',cls_Set_OinsertCI_1) ).

cnf(c_0_9,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_10,axiom,
    ( c_in(X1,c_insert(X4,X2,X3),X3)
    | ~ c_in(X1,X2,X3) ),
    cls_Set_OinsertCI_0 ).

cnf(c_0_11,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_12,axiom,
    ( c_lessequals(c_Message_Osynth(X1),c_Message_Osynth(X2),tc_set(tc_Message_Omsg))
    | ~ c_lessequals(X1,X2,tc_set(tc_Message_Omsg)) ),
    cls_Message_Osynth__mono_0 ).

cnf(c_0_13,plain,
    ( c_lessequals(X1,c_insert(X2,X3,X4),tc_set(X4))
    | ~ c_in(c_Main_OsubsetI__1(X1,c_insert(X2,X3,X4),X4),X3,X4) ),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

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

cnf(c_0_16,plain,
    c_lessequals(X1,c_insert(X2,X1,X3),tc_set(X3)),
    inference(spm,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_17,plain,
    ( c_in(X1,c_Message_Osynth(c_insert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Osynth(X3),tc_Message_Omsg) ),
    inference(spm,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_18,axiom,
    ( c_in(X1,X3,X4)
    | X1 = X2
    | ~ c_in(X1,c_insert(X2,X3,X4),X4) ),
    cls_Set_OinsertE_0 ).

cnf(c_0_19,plain,
    ( c_lessequals(X1,c_Message_Osynth(c_insert(X2,X3,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
    | ~ c_in(c_Main_OsubsetI__1(X1,c_Message_Osynth(c_insert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Osynth(X3),tc_Message_Omsg) ),
    inference(spm,[status(thm)],[c_0_9,c_0_17]) ).

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_18,c_0_14]) ).

cnf(c_0_21,axiom,
    ( c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
    | ~ c_in(X1,X2,tc_Message_Omsg) ),
    cls_Message_Osynth_OInj_0 ).

cnf(c_0_22,negated_conjecture,
    ~ c_lessequals(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
    cls_conjecture_0 ).

cnf(c_0_23,plain,
    ( c_Main_OsubsetI__1(c_insert(X1,c_Message_Osynth(X2),tc_Message_Omsg),c_Message_Osynth(c_insert(X3,X2,tc_Message_Omsg)),tc_Message_Omsg) = X1
    | c_lessequals(c_insert(X1,c_Message_Osynth(X2),tc_Message_Omsg),c_Message_Osynth(c_insert(X3,X2,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_24,plain,
    ( c_lessequals(X1,c_Message_Osynth(X2),tc_set(tc_Message_Omsg))
    | ~ c_in(c_Main_OsubsetI__1(X1,c_Message_Osynth(X2),tc_Message_Omsg),X2,tc_Message_Omsg) ),
    inference(spm,[status(thm)],[c_0_9,c_0_21]) ).

cnf(c_0_25,negated_conjecture,
    c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg) = v_X,
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

cnf(c_0_26,axiom,
    c_in(X1,c_insert(X1,X2,X3),X3),
    cls_Set_OinsertCI_1 ).

cnf(c_0_27,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26])]),c_0_22]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem    : SWV275-2 : TPTP v8.1.2. Released v3.2.0.
% 0.10/0.11  % Command    : run_E %s %d THM
% 0.11/0.32  % Computer : n005.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 2400
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Tue Oct  3 03:27:31 EDT 2023
% 0.11/0.32  % CPUTime    : 
% 0.17/0.43  Running first-order theorem proving
% 0.17/0.43  Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.SkJDWp2uJt/E---3.1_26255.p
% 229.09/29.31  # Version: 3.1pre001
% 229.09/29.31  # Preprocessing class: FSMSSMSSSSSNFFN.
% 229.09/29.31  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 229.09/29.31  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 229.09/29.31  # Starting new_bool_3 with 300s (1) cores
% 229.09/29.31  # Starting new_bool_1 with 300s (1) cores
% 229.09/29.31  # Starting sh5l with 300s (1) cores
% 229.09/29.31  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 26333 completed with status 0
% 229.09/29.31  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 229.09/29.31  # Preprocessing class: FSMSSMSSSSSNFFN.
% 229.09/29.31  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 229.09/29.31  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 229.09/29.31  # No SInE strategy applied
% 229.09/29.31  # Search class: FGUSF-FFSF32-SFFFFFNN
% 229.09/29.31  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 229.09/29.31  # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 229.09/29.31  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 229.09/29.31  # Starting new_bool_3 with 136s (1) cores
% 229.09/29.31  # Starting new_bool_1 with 136s (1) cores
% 229.09/29.31  # Starting sh5l with 136s (1) cores
% 229.09/29.31  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 26338 completed with status 0
% 229.09/29.31  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 229.09/29.31  # Preprocessing class: FSMSSMSSSSSNFFN.
% 229.09/29.31  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 229.09/29.31  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 229.09/29.31  # No SInE strategy applied
% 229.09/29.31  # Search class: FGUSF-FFSF32-SFFFFFNN
% 229.09/29.31  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 229.09/29.31  # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 229.09/29.31  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 229.09/29.31  # Preprocessing time       : 0.001 s
% 229.09/29.31  # Presaturation interreduction done
% 229.09/29.31  
% 229.09/29.31  # Proof found!
% 229.09/29.31  # SZS status Unsatisfiable
% 229.09/29.31  # SZS output start CNFRefutation
% See solution above
% 229.09/29.31  # Parsed axioms                        : 9
% 229.09/29.31  # Removed by relevancy pruning/SinE    : 0
% 229.09/29.31  # Initial clauses                      : 9
% 229.09/29.31  # Removed in clause preprocessing      : 0
% 229.09/29.31  # Initial clauses in saturation        : 9
% 229.09/29.31  # Processed clauses                    : 12338
% 229.09/29.31  # ...of these trivial                  : 378
% 229.09/29.31  # ...subsumed                          : 7734
% 229.09/29.31  # ...remaining for further processing  : 4226
% 229.09/29.31  # Other redundant clauses eliminated   : 0
% 229.09/29.31  # Clauses deleted for lack of memory   : 0
% 229.09/29.31  # Backward-subsumed                    : 1
% 229.09/29.31  # Backward-rewritten                   : 86
% 229.09/29.31  # Generated clauses                    : 1746698
% 229.09/29.31  # ...of the previous two non-redundant : 1745399
% 229.09/29.31  # ...aggressively subsumed             : 0
% 229.09/29.31  # Contextual simplify-reflections      : 0
% 229.09/29.31  # Paramodulations                      : 1746698
% 229.09/29.31  # Factorizations                       : 0
% 229.09/29.31  # NegExts                              : 0
% 229.09/29.31  # Equation resolutions                 : 0
% 229.09/29.31  # Total rewrite steps                  : 1740
% 229.09/29.31  # Propositional unsat checks           : 0
% 229.09/29.31  #    Propositional check models        : 0
% 229.09/29.31  #    Propositional check unsatisfiable : 0
% 229.09/29.31  #    Propositional clauses             : 0
% 229.09/29.31  #    Propositional clauses after purity: 0
% 229.09/29.31  #    Propositional unsat core size     : 0
% 229.09/29.31  #    Propositional preprocessing time  : 0.000
% 229.09/29.31  #    Propositional encoding time       : 0.000
% 229.09/29.31  #    Propositional solver time         : 0.000
% 229.09/29.31  #    Success case prop preproc time    : 0.000
% 229.09/29.31  #    Success case prop encoding time   : 0.000
% 229.09/29.31  #    Success case prop solver time     : 0.000
% 229.09/29.31  # Current number of processed clauses  : 4130
% 229.09/29.31  #    Positive orientable unit clauses  : 1120
% 229.09/29.31  #    Positive unorientable unit clauses: 0
% 229.09/29.31  #    Negative unit clauses             : 1
% 229.09/29.31  #    Non-unit-clauses                  : 3009
% 229.09/29.31  # Current number of unprocessed clauses: 1732980
% 229.09/29.31  # ...number of literals in the above   : 3543078
% 229.09/29.31  # Current number of archived formulas  : 0
% 229.09/29.31  # Current number of archived clauses   : 96
% 229.09/29.31  # Clause-clause subsumption calls (NU) : 1475635
% 229.09/29.31  # Rec. Clause-clause subsumption calls : 1464031
% 229.09/29.31  # Non-unit clause-clause subsumptions  : 7735
% 229.09/29.31  # Unit Clause-clause subsumption calls : 20472
% 229.09/29.31  # Rewrite failures with RHS unbound    : 0
% 229.09/29.31  # BW rewrite match attempts            : 248374
% 229.09/29.31  # BW rewrite match successes           : 86
% 229.09/29.31  # Condensation attempts                : 0
% 229.09/29.31  # Condensation successes               : 0
% 229.09/29.31  # Termbank termtop insertions          : 62085330
% 229.09/29.31  
% 229.09/29.31  # -------------------------------------------------
% 229.09/29.31  # User time                : 27.770 s
% 229.09/29.31  # System time              : 0.879 s
% 229.09/29.31  # Total time               : 28.649 s
% 229.09/29.31  # Maximum resident set size: 1628 pages
% 229.09/29.31  
% 229.09/29.31  # -------------------------------------------------
% 229.09/29.31  # User time                : 140.947 s
% 229.09/29.31  # System time              : 1.771 s
% 229.09/29.31  # Total time               : 142.717 s
% 229.09/29.31  # Maximum resident set size: 1680 pages
% 229.09/29.31  % E---3.1 exiting
% 229.09/29.31  % E---3.1 exiting
%------------------------------------------------------------------------------