TSTP Solution File: SWV241-1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : SWV241-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n015.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 : 300s
% WCLimit  : 300s
% DateTime : Sat May  4 09:43:16 EDT 2024

% Result   : Unsatisfiable 114.98s 15.21s
% Output   : CNFRefutation 114.98s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   30 (   9 unt;   9 nHn;  25 RR)
%            Number of literals    :   62 (   6 equ;  25 neg)
%            Maximal clause size   :    3 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-3 aty)
%            Number of variables   :   55 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_Message_Oanalz__trans_0,axiom,
    ( c_in(X1,c_Message_Oanalz(X3),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_lessequals(X2,c_Message_Oanalz(X3),tc_set(tc_Message_Omsg)) ),
    file('/export/starexec/sandbox2/tmp/tmp.xRphd83LvO/E---3.1_20871.p',cls_Message_Oanalz__trans_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.xRphd83LvO/E---3.1_20871.p',cls_Set_OsubsetI_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.xRphd83LvO/E---3.1_20871.p',cls_Set_OsubsetI_0) ).

cnf(cls_Message_Oanalz_OInj_0,axiom,
    ( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_in(X1,X2,tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/tmp/tmp.xRphd83LvO/E---3.1_20871.p',cls_Message_Oanalz_OInj_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.xRphd83LvO/E---3.1_20871.p',cls_Set_OinsertE_0) ).

cnf(cls_conjecture_0,negated_conjecture,
    c_in(v_Y,c_Message_Oanalz(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),
    file('/export/starexec/sandbox2/tmp/tmp.xRphd83LvO/E---3.1_20871.p',cls_conjecture_0) ).

cnf(cls_conjecture_2,negated_conjecture,
    ~ c_in(v_Y,c_Message_Oanalz(v_H),tc_Message_Omsg),
    file('/export/starexec/sandbox2/tmp/tmp.xRphd83LvO/E---3.1_20871.p',cls_conjecture_2) ).

cnf(cls_conjecture_1,negated_conjecture,
    c_in(v_X,c_Message_Oanalz(v_H),tc_Message_Omsg),
    file('/export/starexec/sandbox2/tmp/tmp.xRphd83LvO/E---3.1_20871.p',cls_conjecture_1) ).

cnf(c_0_8,plain,
    ( c_in(X1,c_Message_Oanalz(X3),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_lessequals(X2,c_Message_Oanalz(X3),tc_set(tc_Message_Omsg)) ),
    inference(fof_simplification,[status(thm)],[cls_Message_Oanalz__trans_0]) ).

cnf(c_0_9,plain,
    ( c_lessequals(X1,X2,tc_set(X3))
    | ~ c_in(c_Main_OsubsetI__1(X1,X2,X3),X2,X3) ),
    inference(fof_simplification,[status(thm)],[cls_Set_OsubsetI_1]) ).

cnf(c_0_10,plain,
    ( c_in(X1,c_Message_Oanalz(X3),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_lessequals(X2,c_Message_Oanalz(X3),tc_set(tc_Message_Omsg)) ),
    c_0_8 ).

cnf(c_0_11,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_12,plain,
    ( c_lessequals(X1,X2,tc_set(X3))
    | ~ c_in(c_Main_OsubsetI__1(X1,X2,X3),X2,X3) ),
    c_0_9 ).

cnf(c_0_13,plain,
    ( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_in(X1,X2,tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[cls_Message_Oanalz_OInj_0]) ).

cnf(c_0_14,plain,
    ( c_in(X1,X3,X4)
    | X1 = X2
    | ~ c_in(X1,c_insert(X2,X3,X4),X4) ),
    inference(fof_simplification,[status(thm)],[cls_Set_OinsertE_0]) ).

cnf(c_0_15,plain,
    ( c_in(c_Main_OsubsetI__1(X1,c_Message_Oanalz(X2),tc_Message_Omsg),X1,tc_Message_Omsg)
    | c_in(X3,c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_in(X3,c_Message_Oanalz(X1),tc_Message_Omsg) ),
    inference(spm,[status(thm)],[c_0_10,c_0_11]) ).

cnf(c_0_16,negated_conjecture,
    c_in(v_Y,c_Message_Oanalz(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),
    cls_conjecture_0 ).

cnf(c_0_17,plain,
    ( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_in(c_Main_OsubsetI__1(X3,c_Message_Oanalz(X2),tc_Message_Omsg),c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oanalz(X3),tc_Message_Omsg) ),
    inference(spm,[status(thm)],[c_0_10,c_0_12]) ).

cnf(c_0_18,plain,
    ( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_in(X1,X2,tc_Message_Omsg) ),
    c_0_13 ).

cnf(c_0_19,plain,
    ( c_in(X1,X3,X4)
    | X1 = X2
    | ~ c_in(X1,c_insert(X2,X3,X4),X4) ),
    c_0_14 ).

cnf(c_0_20,negated_conjecture,
    ( c_in(c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Oanalz(X1),tc_Message_Omsg),c_insert(v_X,v_H,tc_Message_Omsg),tc_Message_Omsg)
    | c_in(v_Y,c_Message_Oanalz(X1),tc_Message_Omsg) ),
    inference(spm,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_21,negated_conjecture,
    ~ c_in(v_Y,c_Message_Oanalz(v_H),tc_Message_Omsg),
    inference(fof_simplification,[status(thm)],[cls_conjecture_2]) ).

cnf(c_0_22,plain,
    ( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_in(c_Main_OsubsetI__1(X3,c_Message_Oanalz(X2),tc_Message_Omsg),X2,tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oanalz(X3),tc_Message_Omsg) ),
    inference(spm,[status(thm)],[c_0_17,c_0_18]) ).

cnf(c_0_23,negated_conjecture,
    ( c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Oanalz(X1),tc_Message_Omsg) = v_X
    | c_in(c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Oanalz(X1),tc_Message_Omsg),v_H,tc_Message_Omsg)
    | c_in(v_Y,c_Message_Oanalz(X1),tc_Message_Omsg) ),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_24,negated_conjecture,
    ~ c_in(v_Y,c_Message_Oanalz(v_H),tc_Message_Omsg),
    c_0_21 ).

cnf(c_0_25,negated_conjecture,
    ( c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Oanalz(v_H),tc_Message_Omsg) = v_X
    | c_in(X1,c_Message_Oanalz(v_H),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oanalz(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]) ).

cnf(c_0_26,negated_conjecture,
    c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Oanalz(v_H),tc_Message_Omsg) = v_X,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_16]),c_0_24]) ).

cnf(c_0_27,negated_conjecture,
    c_in(v_X,c_Message_Oanalz(v_H),tc_Message_Omsg),
    cls_conjecture_1 ).

cnf(c_0_28,negated_conjecture,
    ( c_in(X1,c_Message_Oanalz(v_H),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oanalz(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_26]),c_0_27])]) ).

cnf(c_0_29,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_16]),c_0_24]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.18  % Problem    : SWV241-1 : TPTP v8.1.2. Released v3.2.0.
% 0.17/0.19  % Command    : run_E %s %d THM
% 0.19/0.39  % Computer : n015.cluster.edu
% 0.19/0.39  % Model    : x86_64 x86_64
% 0.19/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.39  % Memory   : 8042.1875MB
% 0.19/0.39  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.19/0.39  % CPULimit   : 300
% 0.19/0.39  % WCLimit    : 300
% 0.19/0.39  % DateTime   : Fri May  3 17:04:23 EDT 2024
% 0.19/0.39  % CPUTime    : 
% 0.38/0.60  Running first-order theorem proving
% 0.38/0.60  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.xRphd83LvO/E---3.1_20871.p
% 114.98/15.21  # Version: 3.1.0
% 114.98/15.21  # Preprocessing class: FMLMSMSMSSSNFFN.
% 114.98/15.21  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 114.98/15.21  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 114.98/15.21  # Starting new_bool_3 with 300s (1) cores
% 114.98/15.21  # Starting new_bool_1 with 300s (1) cores
% 114.98/15.21  # Starting sh5l with 300s (1) cores
% 114.98/15.21  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 20949 completed with status 0
% 114.98/15.21  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 114.98/15.21  # Preprocessing class: FMLMSMSMSSSNFFN.
% 114.98/15.21  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 114.98/15.21  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 114.98/15.21  # No SInE strategy applied
% 114.98/15.21  # Search class: FGHSM-SSLM32-MFFFFFNN
% 114.98/15.21  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 114.98/15.21  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 811s (1) cores
% 114.98/15.21  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 114.98/15.21  # Starting G-E--_208_C12_02_nc_F1_SE_CS_SP_PS_S5PRR_RG_S070I with 136s (1) cores
% 114.98/15.21  # Starting G-E--_208_C47_F1_SE_CS_SP_PS_S0Y with 136s (1) cores
% 114.98/15.21  # Starting SAT001_MinMin_p005000_rr_RG with 136s (1) cores
% 114.98/15.21  # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with pid 20956 completed with status 0
% 114.98/15.21  # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI
% 114.98/15.21  # Preprocessing class: FMLMSMSMSSSNFFN.
% 114.98/15.21  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 114.98/15.21  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 114.98/15.21  # No SInE strategy applied
% 114.98/15.21  # Search class: FGHSM-SSLM32-MFFFFFNN
% 114.98/15.21  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 114.98/15.21  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 811s (1) cores
% 114.98/15.21  # Preprocessing time       : 0.009 s
% 114.98/15.21  # Presaturation interreduction done
% 114.98/15.21  
% 114.98/15.21  # Proof found!
% 114.98/15.21  # SZS status Unsatisfiable
% 114.98/15.21  # SZS output start CNFRefutation
% See solution above
% 114.98/15.21  # Parsed axioms                        : 1389
% 114.98/15.21  # Removed by relevancy pruning/SinE    : 0
% 114.98/15.21  # Initial clauses                      : 1389
% 114.98/15.21  # Removed in clause preprocessing      : 1
% 114.98/15.21  # Initial clauses in saturation        : 1388
% 114.98/15.21  # Processed clauses                    : 107716
% 114.98/15.21  # ...of these trivial                  : 14988
% 114.98/15.21  # ...subsumed                          : 83222
% 114.98/15.21  # ...remaining for further processing  : 9506
% 114.98/15.21  # Other redundant clauses eliminated   : 4
% 114.98/15.21  # Clauses deleted for lack of memory   : 0
% 114.98/15.21  # Backward-subsumed                    : 101
% 114.98/15.21  # Backward-rewritten                   : 570
% 114.98/15.21  # Generated clauses                    : 900073
% 114.98/15.21  # ...of the previous two non-redundant : 717258
% 114.98/15.21  # ...aggressively subsumed             : 0
% 114.98/15.21  # Contextual simplify-reflections      : 2
% 114.98/15.21  # Paramodulations                      : 899981
% 114.98/15.21  # Factorizations                       : 40
% 114.98/15.21  # NegExts                              : 0
% 114.98/15.21  # Equation resolutions                 : 52
% 114.98/15.21  # Disequality decompositions           : 0
% 114.98/15.21  # Total rewrite steps                  : 2951583
% 114.98/15.21  # ...of those cached                   : 2937118
% 114.98/15.21  # Propositional unsat checks           : 1
% 114.98/15.21  #    Propositional check models        : 0
% 114.98/15.21  #    Propositional check unsatisfiable : 0
% 114.98/15.21  #    Propositional clauses             : 0
% 114.98/15.21  #    Propositional clauses after purity: 0
% 114.98/15.21  #    Propositional unsat core size     : 0
% 114.98/15.21  #    Propositional preprocessing time  : 0.000
% 114.98/15.21  #    Propositional encoding time       : 0.071
% 114.98/15.21  #    Propositional solver time         : 0.071
% 114.98/15.21  #    Success case prop preproc time    : 0.000
% 114.98/15.21  #    Success case prop encoding time   : 0.000
% 114.98/15.21  #    Success case prop solver time     : 0.000
% 114.98/15.21  # Current number of processed clauses  : 7486
% 114.98/15.21  #    Positive orientable unit clauses  : 1441
% 114.98/15.21  #    Positive unorientable unit clauses: 0
% 114.98/15.21  #    Negative unit clauses             : 1918
% 114.98/15.21  #    Non-unit-clauses                  : 4127
% 114.98/15.21  # Current number of unprocessed clauses: 593649
% 114.98/15.21  # ...number of literals in the above   : 1029838
% 114.98/15.21  # Current number of archived formulas  : 0
% 114.98/15.21  # Current number of archived clauses   : 2020
% 114.98/15.21  # Clause-clause subsumption calls (NU) : 5110017
% 114.98/15.21  # Rec. Clause-clause subsumption calls : 4806239
% 114.98/15.21  # Non-unit clause-clause subsumptions  : 6585
% 114.98/15.21  # Unit Clause-clause subsumption calls : 709893
% 114.98/15.21  # Rewrite failures with RHS unbound    : 0
% 114.98/15.21  # BW rewrite match attempts            : 46801
% 114.98/15.21  # BW rewrite match successes           : 452
% 114.98/15.21  # Condensation attempts                : 0
% 114.98/15.21  # Condensation successes               : 0
% 114.98/15.21  # Termbank termtop insertions          : 23661274
% 114.98/15.21  # Search garbage collected termcells   : 1664
% 114.98/15.21  
% 114.98/15.21  # -------------------------------------------------
% 114.98/15.22  # User time                : 13.758 s
% 114.98/15.22  # System time              : 0.487 s
% 114.98/15.22  # Total time               : 14.245 s
% 114.98/15.22  # Maximum resident set size: 3956 pages
% 114.98/15.22  
% 114.98/15.22  # -------------------------------------------------
% 114.98/15.22  # User time                : 69.106 s
% 114.98/15.22  # System time              : 2.102 s
% 114.98/15.22  # Total time               : 71.208 s
% 114.98/15.22  # Maximum resident set size: 2436 pages
% 114.98/15.22  % E---3.1 exiting
% 114.98/15.22  % E exiting
%------------------------------------------------------------------------------