TSTP Solution File: SWV260-2 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SWV260-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n006.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 32.35s 4.54s
% Output   : CNFRefutation 32.35s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   34 (   9 unt;   9 nHn;  22 RR)
%            Number of literals    :   66 (   6 equ;  24 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    :   10 (  10 usr;   5 con; 0-3 aty)
%            Number of variables   :   76 (   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/sandbox2/tmp/tmp.q0lTxkntmt/E---3.1_4177.p',cls_Set_OsubsetI_1) ).

cnf(cls_Message_Oparts_OInj_0,axiom,
    ( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | ~ c_in(X1,X2,tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/tmp/tmp.q0lTxkntmt/E---3.1_4177.p',cls_Message_Oparts_OInj_0) ).

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.q0lTxkntmt/E---3.1_4177.p',cls_Set_OUnCI_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.q0lTxkntmt/E---3.1_4177.p',cls_Set_OUnCI_1) ).

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.q0lTxkntmt/E---3.1_4177.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.q0lTxkntmt/E---3.1_4177.p',cls_Set_OsubsetI_0) ).

cnf(cls_Message_Oparts__trans_0,axiom,
    ( c_in(X1,c_Message_Oparts(X3),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | ~ c_lessequals(X2,c_Message_Oparts(X3),tc_set(tc_Message_Omsg)) ),
    file('/export/starexec/sandbox2/tmp/tmp.q0lTxkntmt/E---3.1_4177.p',cls_Message_Oparts__trans_0) ).

cnf(cls_conjecture_0,negated_conjecture,
    c_in(v_Y,c_Message_Oparts(c_insert(v_X,v_G,tc_Message_Omsg)),tc_Message_Omsg),
    file('/export/starexec/sandbox2/tmp/tmp.q0lTxkntmt/E---3.1_4177.p',cls_conjecture_0) ).

cnf(cls_conjecture_1,negated_conjecture,
    c_in(v_X,c_Message_Oparts(v_H),tc_Message_Omsg),
    file('/export/starexec/sandbox2/tmp/tmp.q0lTxkntmt/E---3.1_4177.p',cls_conjecture_1) ).

cnf(cls_conjecture_2,negated_conjecture,
    ~ c_in(v_Y,c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),
    file('/export/starexec/sandbox2/tmp/tmp.q0lTxkntmt/E---3.1_4177.p',cls_conjecture_2) ).

cnf(c_0_10,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_11,axiom,
    ( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | ~ c_in(X1,X2,tc_Message_Omsg) ),
    cls_Message_Oparts_OInj_0 ).

cnf(c_0_12,plain,
    ( c_lessequals(X1,c_Message_Oparts(X2),tc_set(tc_Message_Omsg))
    | ~ c_in(c_Main_OsubsetI__1(X1,c_Message_Oparts(X2),tc_Message_Omsg),X2,tc_Message_Omsg) ),
    inference(spm,[status(thm)],[c_0_10,c_0_11]) ).

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

cnf(c_0_15,axiom,
    ( c_in(X1,X3,X4)
    | X1 = X2
    | ~ c_in(X1,c_insert(X2,X3,X4),X4) ),
    cls_Set_OinsertE_0 ).

cnf(c_0_16,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_17,plain,
    ( c_lessequals(X1,c_Message_Oparts(c_union(X2,X3,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
    | ~ c_in(c_Main_OsubsetI__1(X1,c_Message_Oparts(c_union(X2,X3,tc_Message_Omsg)),tc_Message_Omsg),X3,tc_Message_Omsg) ),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_18,plain,
    ( c_lessequals(X1,c_Message_Oparts(c_union(X2,X3,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
    | ~ c_in(c_Main_OsubsetI__1(X1,c_Message_Oparts(c_union(X2,X3,tc_Message_Omsg)),tc_Message_Omsg),X2,tc_Message_Omsg) ),
    inference(spm,[status(thm)],[c_0_12,c_0_14]) ).

cnf(c_0_19,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_15,c_0_16]) ).

cnf(c_0_20,axiom,
    ( c_in(X1,c_Message_Oparts(X3),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | ~ c_lessequals(X2,c_Message_Oparts(X3),tc_set(tc_Message_Omsg)) ),
    cls_Message_Oparts__trans_0 ).

cnf(c_0_21,plain,
    c_lessequals(X1,c_Message_Oparts(c_union(X2,X1,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
    inference(spm,[status(thm)],[c_0_17,c_0_16]) ).

cnf(c_0_22,plain,
    ( c_Main_OsubsetI__1(c_insert(X1,X2,tc_Message_Omsg),c_Message_Oparts(c_union(X2,X3,tc_Message_Omsg)),tc_Message_Omsg) = X1
    | c_lessequals(c_insert(X1,X2,tc_Message_Omsg),c_Message_Oparts(c_union(X2,X3,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
    inference(spm,[status(thm)],[c_0_18,c_0_19]) ).

cnf(c_0_23,plain,
    ( c_in(X1,c_Message_Oparts(c_union(X2,X3,tc_Message_Omsg)),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oparts(X3),tc_Message_Omsg) ),
    inference(spm,[status(thm)],[c_0_20,c_0_21]) ).

cnf(c_0_24,plain,
    ( c_Main_OsubsetI__1(c_insert(X1,X2,tc_Message_Omsg),c_Message_Oparts(c_union(X2,X3,tc_Message_Omsg)),tc_Message_Omsg) = X1
    | c_in(X4,c_Message_Oparts(c_union(X2,X3,tc_Message_Omsg)),tc_Message_Omsg)
    | ~ c_in(X4,c_Message_Oparts(c_insert(X1,X2,tc_Message_Omsg)),tc_Message_Omsg) ),
    inference(spm,[status(thm)],[c_0_20,c_0_22]) ).

cnf(c_0_25,negated_conjecture,
    c_in(v_Y,c_Message_Oparts(c_insert(v_X,v_G,tc_Message_Omsg)),tc_Message_Omsg),
    cls_conjecture_0 ).

cnf(c_0_26,plain,
    ( c_lessequals(X1,c_Message_Oparts(c_union(X2,X3,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
    | ~ c_in(c_Main_OsubsetI__1(X1,c_Message_Oparts(c_union(X2,X3,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oparts(X3),tc_Message_Omsg) ),
    inference(spm,[status(thm)],[c_0_10,c_0_23]) ).

cnf(c_0_27,negated_conjecture,
    ( c_Main_OsubsetI__1(c_insert(v_X,v_G,tc_Message_Omsg),c_Message_Oparts(c_union(v_G,X1,tc_Message_Omsg)),tc_Message_Omsg) = v_X
    | c_in(v_Y,c_Message_Oparts(c_union(v_G,X1,tc_Message_Omsg)),tc_Message_Omsg) ),
    inference(spm,[status(thm)],[c_0_24,c_0_25]) ).

cnf(c_0_28,negated_conjecture,
    ( c_lessequals(c_insert(v_X,v_G,tc_Message_Omsg),c_Message_Oparts(c_union(v_G,X1,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
    | c_in(v_Y,c_Message_Oparts(c_union(v_G,X1,tc_Message_Omsg)),tc_Message_Omsg)
    | ~ c_in(v_X,c_Message_Oparts(X1),tc_Message_Omsg) ),
    inference(spm,[status(thm)],[c_0_26,c_0_27]) ).

cnf(c_0_29,negated_conjecture,
    c_in(v_X,c_Message_Oparts(v_H),tc_Message_Omsg),
    cls_conjecture_1 ).

cnf(c_0_30,negated_conjecture,
    ~ c_in(v_Y,c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),
    cls_conjecture_2 ).

cnf(c_0_31,negated_conjecture,
    c_lessequals(c_insert(v_X,v_G,tc_Message_Omsg),c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]) ).

cnf(c_0_32,negated_conjecture,
    ( c_in(X1,c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oparts(c_insert(v_X,v_G,tc_Message_Omsg)),tc_Message_Omsg) ),
    inference(spm,[status(thm)],[c_0_20,c_0_31]) ).

cnf(c_0_33,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_25]),c_0_30]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10  % Problem    : SWV260-2 : TPTP v8.1.2. Released v3.2.0.
% 0.05/0.10  % Command    : run_E %s %d THM
% 0.10/0.30  % Computer : n006.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit   : 2400
% 0.10/0.30  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Tue Oct  3 03:48:10 EDT 2023
% 0.10/0.31  % CPUTime    : 
% 0.16/0.41  Running first-order model finding
% 0.16/0.41  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.q0lTxkntmt/E---3.1_4177.p
% 32.35/4.54  # Version: 3.1pre001
% 32.35/4.54  # Preprocessing class: FSMSSMSSSSSNFFN.
% 32.35/4.54  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 32.35/4.54  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 32.35/4.54  # Starting new_bool_3 with 300s (1) cores
% 32.35/4.54  # Starting new_bool_1 with 300s (1) cores
% 32.35/4.54  # Starting sh5l with 300s (1) cores
% 32.35/4.54  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 4264 completed with status 0
% 32.35/4.54  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 32.35/4.54  # Preprocessing class: FSMSSMSSSSSNFFN.
% 32.35/4.54  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 32.35/4.54  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 32.35/4.54  # No SInE strategy applied
% 32.35/4.54  # Search class: FGUSF-FFSF32-SFFFFFNN
% 32.35/4.54  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 32.35/4.54  # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 32.35/4.54  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 32.35/4.54  # Starting new_bool_3 with 136s (1) cores
% 32.35/4.54  # Starting new_bool_1 with 136s (1) cores
% 32.35/4.54  # Starting sh5l with 136s (1) cores
% 32.35/4.54  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 4270 completed with status 0
% 32.35/4.54  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 32.35/4.54  # Preprocessing class: FSMSSMSSSSSNFFN.
% 32.35/4.54  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 32.35/4.54  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 32.35/4.54  # No SInE strategy applied
% 32.35/4.54  # Search class: FGUSF-FFSF32-SFFFFFNN
% 32.35/4.54  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 32.35/4.54  # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 32.35/4.54  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 32.35/4.54  # Preprocessing time       : 0.001 s
% 32.35/4.54  # Presaturation interreduction done
% 32.35/4.54  
% 32.35/4.54  # Proof found!
% 32.35/4.54  # SZS status Unsatisfiable
% 32.35/4.54  # SZS output start CNFRefutation
% See solution above
% 32.35/4.54  # Parsed axioms                        : 10
% 32.35/4.54  # Removed by relevancy pruning/SinE    : 0
% 32.35/4.54  # Initial clauses                      : 10
% 32.35/4.54  # Removed in clause preprocessing      : 0
% 32.35/4.54  # Initial clauses in saturation        : 10
% 32.35/4.54  # Processed clauses                    : 3949
% 32.35/4.54  # ...of these trivial                  : 296
% 32.35/4.54  # ...subsumed                          : 1792
% 32.35/4.54  # ...remaining for further processing  : 1861
% 32.35/4.54  # Other redundant clauses eliminated   : 0
% 32.35/4.54  # Clauses deleted for lack of memory   : 0
% 32.35/4.54  # Backward-subsumed                    : 77
% 32.35/4.54  # Backward-rewritten                   : 62
% 32.35/4.54  # Generated clauses                    : 239013
% 32.35/4.54  # ...of the previous two non-redundant : 206532
% 32.35/4.54  # ...aggressively subsumed             : 0
% 32.35/4.54  # Contextual simplify-reflections      : 0
% 32.35/4.54  # Paramodulations                      : 238957
% 32.35/4.54  # Factorizations                       : 52
% 32.35/4.54  # NegExts                              : 0
% 32.35/4.54  # Equation resolutions                 : 0
% 32.35/4.54  # Total rewrite steps                  : 35002
% 32.35/4.54  # Propositional unsat checks           : 0
% 32.35/4.54  #    Propositional check models        : 0
% 32.35/4.54  #    Propositional check unsatisfiable : 0
% 32.35/4.54  #    Propositional clauses             : 0
% 32.35/4.54  #    Propositional clauses after purity: 0
% 32.35/4.54  #    Propositional unsat core size     : 0
% 32.35/4.54  #    Propositional preprocessing time  : 0.000
% 32.35/4.54  #    Propositional encoding time       : 0.000
% 32.35/4.54  #    Propositional solver time         : 0.000
% 32.35/4.54  #    Success case prop preproc time    : 0.000
% 32.35/4.54  #    Success case prop encoding time   : 0.000
% 32.35/4.54  #    Success case prop solver time     : 0.000
% 32.35/4.54  # Current number of processed clauses  : 1708
% 32.35/4.54  #    Positive orientable unit clauses  : 377
% 32.35/4.54  #    Positive unorientable unit clauses: 0
% 32.35/4.54  #    Negative unit clauses             : 14
% 32.35/4.54  #    Non-unit-clauses                  : 1317
% 32.35/4.54  # Current number of unprocessed clauses: 202108
% 32.35/4.54  # ...number of literals in the above   : 656884
% 32.35/4.54  # Current number of archived formulas  : 0
% 32.35/4.54  # Current number of archived clauses   : 153
% 32.35/4.54  # Clause-clause subsumption calls (NU) : 173048
% 32.35/4.54  # Rec. Clause-clause subsumption calls : 141312
% 32.35/4.54  # Non-unit clause-clause subsumptions  : 1757
% 32.35/4.54  # Unit Clause-clause subsumption calls : 5122
% 32.35/4.54  # Rewrite failures with RHS unbound    : 0
% 32.35/4.54  # BW rewrite match attempts            : 10397
% 32.35/4.54  # BW rewrite match successes           : 46
% 32.35/4.54  # Condensation attempts                : 0
% 32.35/4.54  # Condensation successes               : 0
% 32.35/4.54  # Termbank termtop insertions          : 7835222
% 32.35/4.54  
% 32.35/4.54  # -------------------------------------------------
% 32.35/4.54  # User time                : 3.966 s
% 32.35/4.54  # System time              : 0.122 s
% 32.35/4.54  # Total time               : 4.088 s
% 32.35/4.54  # Maximum resident set size: 1592 pages
% 32.35/4.54  
% 32.35/4.54  # -------------------------------------------------
% 32.35/4.54  # User time                : 20.323 s
% 32.35/4.54  # System time              : 0.222 s
% 32.35/4.54  # Total time               : 20.545 s
% 32.35/4.54  # Maximum resident set size: 1680 pages
% 32.35/4.54  % E---3.1 exiting
%------------------------------------------------------------------------------