TSTP Solution File: SWV283-1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SWV283-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n004.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 19:56:40 EDT 2023

% Result   : Unsatisfiable 0.86s 0.81s
% Output   : CNFRefutation 0.86s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   20 (   5 unt;   5 nHn;  12 RR)
%            Number of literals    :   39 (   0 equ;  16 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   13 (  13 usr;   6 con; 0-3 aty)
%            Number of variables   :   35 (   7 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_conjecture_9,negated_conjecture,
    ( c_in(c_Message_Omsg_ONonce(v_xd(X1)),c_Event_Oused(v_list),tc_Message_Omsg)
    | c_in(c_Message_Omsg_ONonce(v_xd(X1)),c_Message_Oparts(c_insert(v_xc,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
    | c_in(c_Message_Omsg_ONonce(v_xd(X2)),c_Event_Oused(v_list),tc_Message_Omsg)
    | c_in(c_Message_Omsg_ONonce(v_xd(X2)),c_Message_Oparts(c_insert(v_xc,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/tmp/tmp.QRTHmUPogC/E---3.1_10690.p',cls_conjecture_9) ).

cnf(cls_Message_Omsg__Nonce__supply_0,axiom,
    ( ~ c_in(c_Message_Omsg_ONonce(X1),c_Message_Oparts(c_insert(X2,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
    | ~ c_lessequals(v_sko__upX(X2),X1,tc_nat) ),
    file('/export/starexec/sandbox/tmp/tmp.QRTHmUPogC/E---3.1_10690.p',cls_Message_Omsg__Nonce__supply_0) ).

cnf(cls_conjecture_4,negated_conjecture,
    ( c_lessequals(X1,v_xd(X1),tc_nat)
    | c_lessequals(X2,v_xd(X2),tc_nat) ),
    file('/export/starexec/sandbox/tmp/tmp.QRTHmUPogC/E---3.1_10690.p',cls_conjecture_4) ).

cnf(cls_conjecture_0,negated_conjecture,
    ( ~ c_in(c_Message_Omsg_ONonce(X1),c_Event_Oused(v_list),tc_Message_Omsg)
    | ~ c_lessequals(v_x,X1,tc_nat) ),
    file('/export/starexec/sandbox/tmp/tmp.QRTHmUPogC/E---3.1_10690.p',cls_conjecture_0) ).

cnf(cls_Nat_Oadd__leE_1,axiom,
    ( c_lessequals(X1,X3,tc_nat)
    | ~ c_lessequals(c_plus(X1,X2,tc_nat),X3,tc_nat) ),
    file('/export/starexec/sandbox/tmp/tmp.QRTHmUPogC/E---3.1_10690.p',cls_Nat_Oadd__leE_1) ).

cnf(cls_Nat_Oadd__leE_0,axiom,
    ( c_lessequals(X2,X3,tc_nat)
    | ~ c_lessequals(c_plus(X1,X2,tc_nat),X3,tc_nat) ),
    file('/export/starexec/sandbox/tmp/tmp.QRTHmUPogC/E---3.1_10690.p',cls_Nat_Oadd__leE_0) ).

cnf(c_0_6,negated_conjecture,
    ( c_in(c_Message_Omsg_ONonce(v_xd(X1)),c_Event_Oused(v_list),tc_Message_Omsg)
    | c_in(c_Message_Omsg_ONonce(v_xd(X1)),c_Message_Oparts(c_insert(v_xc,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
    | c_in(c_Message_Omsg_ONonce(v_xd(X2)),c_Event_Oused(v_list),tc_Message_Omsg)
    | c_in(c_Message_Omsg_ONonce(v_xd(X2)),c_Message_Oparts(c_insert(v_xc,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg) ),
    cls_conjecture_9 ).

cnf(c_0_7,axiom,
    ( ~ c_in(c_Message_Omsg_ONonce(X1),c_Message_Oparts(c_insert(X2,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
    | ~ c_lessequals(v_sko__upX(X2),X1,tc_nat) ),
    cls_Message_Omsg__Nonce__supply_0 ).

cnf(c_0_8,negated_conjecture,
    ( c_in(c_Message_Omsg_ONonce(v_xd(X1)),c_Message_Oparts(c_insert(v_xc,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
    | c_in(c_Message_Omsg_ONonce(v_xd(X1)),c_Event_Oused(v_list),tc_Message_Omsg) ),
    inference(ef,[status(thm)],[c_0_6]) ).

cnf(c_0_9,negated_conjecture,
    ( c_lessequals(X1,v_xd(X1),tc_nat)
    | c_lessequals(X2,v_xd(X2),tc_nat) ),
    cls_conjecture_4 ).

cnf(c_0_10,negated_conjecture,
    ( ~ c_in(c_Message_Omsg_ONonce(X1),c_Event_Oused(v_list),tc_Message_Omsg)
    | ~ c_lessequals(v_x,X1,tc_nat) ),
    cls_conjecture_0 ).

cnf(c_0_11,negated_conjecture,
    ( c_in(c_Message_Omsg_ONonce(v_xd(X1)),c_Event_Oused(v_list),tc_Message_Omsg)
    | ~ c_lessequals(v_sko__upX(v_xc),v_xd(X1),tc_nat) ),
    inference(spm,[status(thm)],[c_0_7,c_0_8]) ).

cnf(c_0_12,axiom,
    ( c_lessequals(X1,X3,tc_nat)
    | ~ c_lessequals(c_plus(X1,X2,tc_nat),X3,tc_nat) ),
    cls_Nat_Oadd__leE_1 ).

cnf(c_0_13,negated_conjecture,
    c_lessequals(X1,v_xd(X1),tc_nat),
    inference(ef,[status(thm)],[c_0_9]) ).

cnf(c_0_14,negated_conjecture,
    ( ~ c_lessequals(v_sko__upX(v_xc),v_xd(X1),tc_nat)
    | ~ c_lessequals(v_x,v_xd(X1),tc_nat) ),
    inference(spm,[status(thm)],[c_0_10,c_0_11]) ).

cnf(c_0_15,negated_conjecture,
    c_lessequals(X1,v_xd(c_plus(X1,X2,tc_nat)),tc_nat),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_16,axiom,
    ( c_lessequals(X2,X3,tc_nat)
    | ~ c_lessequals(c_plus(X1,X2,tc_nat),X3,tc_nat) ),
    cls_Nat_Oadd__leE_0 ).

cnf(c_0_17,negated_conjecture,
    ~ c_lessequals(v_x,v_xd(c_plus(v_sko__upX(v_xc),X1,tc_nat)),tc_nat),
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_18,negated_conjecture,
    c_lessequals(X1,v_xd(c_plus(X2,X1,tc_nat)),tc_nat),
    inference(spm,[status(thm)],[c_0_16,c_0_13]) ).

cnf(c_0_19,negated_conjecture,
    $false,
    inference(spm,[status(thm)],[c_0_17,c_0_18]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem    : SWV283-1 : TPTP v8.1.2. Released v3.2.0.
% 0.06/0.12  % Command    : run_E %s %d THM
% 0.11/0.32  % Computer : n004.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 03:41:00 EDT 2023
% 0.11/0.32  % CPUTime    : 
% 0.17/0.52  Running first-order model finding
% 0.17/0.52  Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.QRTHmUPogC/E---3.1_10690.p
% 0.86/0.81  # Version: 3.1pre001
% 0.86/0.81  # Preprocessing class: FMLMSMSMSSSNFFN.
% 0.86/0.81  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.86/0.81  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.86/0.81  # Starting new_bool_3 with 300s (1) cores
% 0.86/0.81  # Starting new_bool_1 with 300s (1) cores
% 0.86/0.81  # Starting sh5l with 300s (1) cores
% 0.86/0.81  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 10767 completed with status 0
% 0.86/0.81  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.86/0.81  # Preprocessing class: FMLMSMSMSSSNFFN.
% 0.86/0.81  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.86/0.81  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.86/0.81  # No SInE strategy applied
% 0.86/0.81  # Search class: FGHSM-SSLM32-MFFFFFNN
% 0.86/0.81  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.86/0.81  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 811s (1) cores
% 0.86/0.81  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.86/0.81  # Starting G-E--_208_C12_02_nc_F1_SE_CS_SP_PS_S5PRR_RG_S070I with 136s (1) cores
% 0.86/0.81  # Starting G-E--_208_C47_F1_SE_CS_SP_PS_S0Y with 136s (1) cores
% 0.86/0.81  # Starting SAT001_MinMin_p005000_rr_RG with 136s (1) cores
% 0.86/0.81  # G-E--_208_C47_F1_SE_CS_SP_PS_S0Y with pid 10777 completed with status 0
% 0.86/0.81  # Result found by G-E--_208_C47_F1_SE_CS_SP_PS_S0Y
% 0.86/0.81  # Preprocessing class: FMLMSMSMSSSNFFN.
% 0.86/0.81  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.86/0.81  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.86/0.81  # No SInE strategy applied
% 0.86/0.81  # Search class: FGHSM-SSLM32-MFFFFFNN
% 0.86/0.81  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.86/0.81  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 811s (1) cores
% 0.86/0.81  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.86/0.81  # Starting G-E--_208_C12_02_nc_F1_SE_CS_SP_PS_S5PRR_RG_S070I with 136s (1) cores
% 0.86/0.81  # Starting G-E--_208_C47_F1_SE_CS_SP_PS_S0Y with 136s (1) cores
% 0.86/0.81  # Preprocessing time       : 0.009 s
% 0.86/0.81  # Presaturation interreduction done
% 0.86/0.81  
% 0.86/0.81  # Proof found!
% 0.86/0.81  # SZS status Unsatisfiable
% 0.86/0.81  # SZS output start CNFRefutation
% See solution above
% 0.86/0.81  # Parsed axioms                        : 1478
% 0.86/0.81  # Removed by relevancy pruning/SinE    : 0
% 0.86/0.81  # Initial clauses                      : 1478
% 0.86/0.81  # Removed in clause preprocessing      : 3
% 0.86/0.81  # Initial clauses in saturation        : 1475
% 0.86/0.81  # Processed clauses                    : 3225
% 0.86/0.81  # ...of these trivial                  : 29
% 0.86/0.81  # ...subsumed                          : 316
% 0.86/0.81  # ...remaining for further processing  : 2880
% 0.86/0.81  # Other redundant clauses eliminated   : 4
% 0.86/0.81  # Clauses deleted for lack of memory   : 0
% 0.86/0.81  # Backward-subsumed                    : 19
% 0.86/0.81  # Backward-rewritten                   : 29
% 0.86/0.81  # Generated clauses                    : 1912
% 0.86/0.81  # ...of the previous two non-redundant : 814
% 0.86/0.81  # ...aggressively subsumed             : 0
% 0.86/0.81  # Contextual simplify-reflections      : 0
% 0.86/0.81  # Paramodulations                      : 1853
% 0.86/0.81  # Factorizations                       : 4
% 0.86/0.81  # NegExts                              : 0
% 0.86/0.81  # Equation resolutions                 : 55
% 0.86/0.81  # Total rewrite steps                  : 1244
% 0.86/0.81  # Propositional unsat checks           : 0
% 0.86/0.81  #    Propositional check models        : 0
% 0.86/0.81  #    Propositional check unsatisfiable : 0
% 0.86/0.81  #    Propositional clauses             : 0
% 0.86/0.81  #    Propositional clauses after purity: 0
% 0.86/0.81  #    Propositional unsat core size     : 0
% 0.86/0.81  #    Propositional preprocessing time  : 0.000
% 0.86/0.81  #    Propositional encoding time       : 0.000
% 0.86/0.81  #    Propositional solver time         : 0.000
% 0.86/0.81  #    Success case prop preproc time    : 0.000
% 0.86/0.81  #    Success case prop encoding time   : 0.000
% 0.86/0.81  #    Success case prop solver time     : 0.000
% 0.86/0.81  # Current number of processed clauses  : 1414
% 0.86/0.81  #    Positive orientable unit clauses  : 210
% 0.86/0.81  #    Positive unorientable unit clauses: 0
% 0.86/0.81  #    Negative unit clauses             : 52
% 0.86/0.81  #    Non-unit-clauses                  : 1152
% 0.86/0.81  # Current number of unprocessed clauses: 452
% 0.86/0.81  # ...number of literals in the above   : 1098
% 0.86/0.81  # Current number of archived formulas  : 0
% 0.86/0.81  # Current number of archived clauses   : 1467
% 0.86/0.81  # Clause-clause subsumption calls (NU) : 1014217
% 0.86/0.81  # Rec. Clause-clause subsumption calls : 972652
% 0.86/0.81  # Non-unit clause-clause subsumptions  : 272
% 0.86/0.81  # Unit Clause-clause subsumption calls : 20475
% 0.86/0.81  # Rewrite failures with RHS unbound    : 0
% 0.86/0.81  # BW rewrite match attempts            : 105
% 0.86/0.81  # BW rewrite match successes           : 23
% 0.86/0.81  # Condensation attempts                : 0
% 0.86/0.81  # Condensation successes               : 0
% 0.86/0.81  # Termbank termtop insertions          : 50189
% 0.86/0.81  
% 0.86/0.81  # -------------------------------------------------
% 0.86/0.81  # User time                : 0.232 s
% 0.86/0.81  # System time              : 0.016 s
% 0.86/0.81  # Total time               : 0.248 s
% 0.86/0.81  # Maximum resident set size: 3940 pages
% 0.86/0.81  
% 0.86/0.81  # -------------------------------------------------
% 0.86/0.81  # User time                : 1.055 s
% 0.86/0.81  # System time              : 0.052 s
% 0.86/0.81  # Total time               : 1.107 s
% 0.86/0.81  # Maximum resident set size: 2476 pages
% 0.86/0.81  % E---3.1 exiting
%------------------------------------------------------------------------------