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E---3.5.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SWV240-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n019.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 02:54:02 PM UTC 2026

% Result   : Unsatisfiable 1.91s 0.71s
% Output   : CNFRefutation 1.91s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   20 (   9 unt;   2 nHn;  16 RR)
%            Number of literals    :   34 (   0 equ;  18 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-3 aty)
%            Number of variables   :   37 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
    ~ c_lessequals(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Oanalz(c_union(c_Message_Oanalz(v_G),v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(cls_Message_Oanalz__subset__cong_0,axiom,
    ( ~ c_lessequals(c_Message_Oanalz(X3),c_Message_Oanalz(X4),tc_set(tc_Message_Omsg))
    | ~ c_lessequals(c_Message_Oanalz(X1),c_Message_Oanalz(X2),tc_set(tc_Message_Omsg))
    | c_lessequals(c_Message_Oanalz(c_union(X3,X1,tc_Message_Omsg)),c_Message_Oanalz(c_union(X4,X2,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oanalz__subset__cong_0) ).

cnf(cls_Set_Osubset__refl_0,axiom,
    c_lessequals(X1,X1,tc_set(X2)),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Set_Osubset__refl_0) ).

cnf(cls_Set_OsubsetI_1,axiom,
    ( ~ c_in(c_Main_OsubsetI__1(X1,X2,X3),X2,X3)
    | c_lessequals(X1,X2,tc_set(X3)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Set_OsubsetI_1) ).

cnf(cls_Message_Oanalz_OInj_0,axiom,
    ( ~ c_in(X1,X2,tc_Message_Omsg)
    | c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV004-0.ax',cls_Message_Oanalz_OInj_0) ).

cnf(cls_Set_OsubsetI_0,axiom,
    ( c_lessequals(X1,X2,tc_set(X3))
    | c_in(c_Main_OsubsetI__1(X1,X2,X3),X1,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Set_OsubsetI_0) ).

cnf(c_0_6,negated_conjecture,
    ~ c_lessequals(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Oanalz(c_union(c_Message_Oanalz(v_G),v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
    inference(fof_simplification,[status(thm)],[cls_conjecture_0]) ).

cnf(c_0_7,plain,
    ( ~ c_lessequals(c_Message_Oanalz(X3),c_Message_Oanalz(X4),tc_set(tc_Message_Omsg))
    | ~ c_lessequals(c_Message_Oanalz(X1),c_Message_Oanalz(X2),tc_set(tc_Message_Omsg))
    | c_lessequals(c_Message_Oanalz(c_union(X3,X1,tc_Message_Omsg)),c_Message_Oanalz(c_union(X4,X2,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
    inference(fof_simplification,[status(thm)],[cls_Message_Oanalz__subset__cong_0]) ).

cnf(c_0_8,negated_conjecture,
    ~ c_lessequals(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Oanalz(c_union(c_Message_Oanalz(v_G),v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
    c_0_6 ).

cnf(c_0_9,plain,
    ( ~ c_lessequals(c_Message_Oanalz(X3),c_Message_Oanalz(X4),tc_set(tc_Message_Omsg))
    | ~ c_lessequals(c_Message_Oanalz(X1),c_Message_Oanalz(X2),tc_set(tc_Message_Omsg))
    | c_lessequals(c_Message_Oanalz(c_union(X3,X1,tc_Message_Omsg)),c_Message_Oanalz(c_union(X4,X2,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
    c_0_7 ).

cnf(c_0_10,axiom,
    c_lessequals(X1,X1,tc_set(X2)),
    cls_Set_Osubset__refl_0 ).

cnf(c_0_11,plain,
    ( ~ c_in(c_Main_OsubsetI__1(X1,X2,X3),X2,X3)
    | c_lessequals(X1,X2,tc_set(X3)) ),
    inference(fof_simplification,[status(thm)],[cls_Set_OsubsetI_1]) ).

cnf(c_0_12,negated_conjecture,
    ~ c_lessequals(c_Message_Oanalz(v_G),c_Message_Oanalz(c_Message_Oanalz(v_G)),tc_set(tc_Message_Omsg)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10])]) ).

cnf(c_0_13,plain,
    ( ~ c_in(c_Main_OsubsetI__1(X1,X2,X3),X2,X3)
    | c_lessequals(X1,X2,tc_set(X3)) ),
    c_0_11 ).

cnf(c_0_14,plain,
    ( ~ c_in(X1,X2,tc_Message_Omsg)
    | c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[cls_Message_Oanalz_OInj_0]) ).

cnf(c_0_15,negated_conjecture,
    ~ c_in(c_Main_OsubsetI__1(c_Message_Oanalz(v_G),c_Message_Oanalz(c_Message_Oanalz(v_G)),tc_Message_Omsg),c_Message_Oanalz(c_Message_Oanalz(v_G)),tc_Message_Omsg),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_16,plain,
    ( ~ c_in(X1,X2,tc_Message_Omsg)
    | c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg) ),
    c_0_14 ).

cnf(c_0_17,axiom,
    ( c_lessequals(X1,X2,tc_set(X3))
    | c_in(c_Main_OsubsetI__1(X1,X2,X3),X1,X3) ),
    cls_Set_OsubsetI_0 ).

cnf(c_0_18,negated_conjecture,
    ~ c_in(c_Main_OsubsetI__1(c_Message_Oanalz(v_G),c_Message_Oanalz(c_Message_Oanalz(v_G)),tc_Message_Omsg),c_Message_Oanalz(v_G),tc_Message_Omsg),
    inference(spm,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_19,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_17]),c_0_18]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWV240-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.35  % Computer : n019.cluster.edu
% 0.09/0.35  % Model    : x86_64 x86_64
% 0.09/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35  % Memory   : 8046.5625MB
% 0.09/0.35  % OS       : Linux 6.8.0-71-generic
% 0.09/0.35  % CPULimit : 300
% 0.09/0.35  % WCLimit  : 300
% 0.09/0.35  % DateTime : Mon Sep 21 08:35:34 UTC 2026
% 0.12/0.36  % CPUTime  : 
% 0.12/0.36  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.40  Running first-order theorem proving
% 0.12/0.40  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/benchmark/theBenchmark.p
% 1.91/0.71  % Version: 3.5.1
% 1.91/0.71  % Preprocessing class: FMLMSMSMSSSNFFN.
% 1.91/0.71  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.91/0.71  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1.91/0.71  % Starting new_bool_3 with 300s (1) cores
% 1.91/0.71  % Starting new_bool_1 with 300s (1) cores
% 1.91/0.71  % Starting sh5l with 300s (1) cores
% 1.91/0.71  % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 2158609 completed with status 0
% 1.91/0.71  % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 1.91/0.71  % Preprocessing class: FMLMSMSMSSSNFFN.
% 1.91/0.71  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.91/0.71  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1.91/0.71  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.91/0.71  % No SInE strategy applied
% 1.91/0.71  % Search class: FGHSM-SSLM32-MFFFFFNN
% 1.91/0.71  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 1.91/0.71  % Starting SubtermCWHack with 136s (1) cores
% 1.91/0.71  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 1.91/0.71  % Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 1.91/0.71  % Starting G-E--_208_C12_02_nc_F1_SE_CS_SP_PS_S5PRR_RG_S070I with 136s (1) cores
% 1.91/0.71  % Starting G-E--_208_C47_F1_SE_CS_SP_PS_S0Y with 136s (1) cores
% 1.91/0.71  % G-E--_208_C12_02_nc_F1_SE_CS_SP_PS_S5PRR_RG_S070I with pid 2158625 completed with status 0
% 1.91/0.71  % Result found by G-E--_208_C12_02_nc_F1_SE_CS_SP_PS_S5PRR_RG_S070I
% 1.91/0.71  % Preprocessing class: FMLMSMSMSSSNFFN.
% 1.91/0.71  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.91/0.71  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1.91/0.71  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.91/0.71  % No SInE strategy applied
% 1.91/0.71  % Search class: FGHSM-SSLM32-MFFFFFNN
% 1.91/0.71  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 1.91/0.71  % Starting SubtermCWHack with 136s (1) cores
% 1.91/0.71  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 1.91/0.71  % Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 1.91/0.71  % Starting G-E--_208_C12_02_nc_F1_SE_CS_SP_PS_S5PRR_RG_S070I with 136s (1) cores
% 1.91/0.71  % Preprocessing time       : 0.012 s
% 1.91/0.71  % Presaturation interreduction done
% 1.91/0.71  
% 1.91/0.71  % Proof found!
% 1.91/0.71  % SZS status Unsatisfiable
% 1.91/0.71  % SZS output start CNFRefutation
% See solution above
% 1.91/0.71  % Parsed axioms                        : 1400
% 1.91/0.71  % Removed by relevancy pruning/SinE    : 0
% 1.91/0.71  % Initial clauses                      : 1400
% 1.91/0.71  % Removed in clause preprocessing      : 1
% 1.91/0.71  % Initial clauses in saturation        : 1399
% 1.91/0.71  % Processed clauses                    : 3015
% 1.91/0.71  % ...of these trivial                  : 8
% 1.91/0.71  % ...subsumed                          : 357
% 1.91/0.71  % ...remaining for further processing  : 2649
% 1.91/0.71  % Other redundant clauses eliminated   : 4
% 1.91/0.71  % Clauses deleted for lack of memory   : 0
% 1.91/0.71  % Backward-subsumed                    : 1
% 1.91/0.71  % Backward-rewritten                   : 6
% 1.91/0.71  % Generated clauses                    : 3684
% 1.91/0.71  % ...of the previous two non-redundant : 2867
% 1.91/0.71  % ...aggressively subsumed             : 0
% 1.91/0.71  % Contextual simplify-reflections      : 2
% 1.91/0.71  % Paramodulations                      : 3643
% 1.91/0.71  % Factorizations                       : 0
% 1.91/0.71  % NegExts                              : 0
% 1.91/0.71  % Equation resolutions                 : 41
% 1.91/0.71  % Disequality decompositions           : 0
% 1.91/0.71  % Total rewrite steps                  : 848
% 1.91/0.71  % ...of those cached                   : 740
% 1.91/0.71  % Propositional unsat checks           : 0
% 1.91/0.71  %    Propositional check models        : 0
% 1.91/0.71  %    Propositional check unsatisfiable : 0
% 1.91/0.71  %    Propositional clauses             : 0
% 1.91/0.71  %    Propositional clauses after purity: 0
% 1.91/0.71  %    Propositional unsat core size     : 0
% 1.91/0.71  %    Propositional preprocessing time  : 0.000
% 1.91/0.71  %    Propositional encoding time       : 0.000
% 1.91/0.71  %    Propositional solver time         : 0.000
% 1.91/0.71  %    Success case prop preproc time    : 0.000
% 1.91/0.71  %    Success case prop encoding time   : 0.000
% 1.91/0.71  %    Success case prop solver time     : 0.000
% 1.91/0.71  % Current number of processed clauses  : 1282
% 1.91/0.71  %    Positive orientable unit clauses  : 176
% 1.91/0.71  %    Positive unorientable unit clauses: 0
% 1.91/0.71  %    Negative unit clauses             : 51
% 1.91/0.71  %    Non-unit-clauses                  : 1055
% 1.91/0.71  % Current number of unprocessed clauses: 2611
% 1.91/0.71  % ...number of literals in the above   : 5286
% 1.91/0.71  % Current number of archived formulas  : 0
% 1.91/0.71  % Current number of archived clauses   : 1367
% 1.91/0.71  % Clause-clause subsumption calls (NU) : 992857
% 1.91/0.71  % Rec. Clause-clause subsumption calls : 969881
% 1.91/0.71  % Non-unit clause-clause subsumptions  : 331
% 1.91/0.71  % Unit Clause-clause subsumption calls : 13204
% 1.91/0.71  % Rewrite failures with RHS unbound    : 0
% 1.91/0.71  % BW rewrite match attempts            : 62
% 1.91/0.71  % BW rewrite match successes           : 6
% 1.91/0.71  % Condensation attempts                : 0
% 1.91/0.71  % Condensation successes               : 0
% 1.91/0.71  % Termbank termtop insertions          : 62464
% 1.91/0.71  % Search garbage collected termcells   : 1692
% 1.91/0.71  
% 1.91/0.71  % -------------------------------------------------
% 1.91/0.71  % User time                : 0.245 s
% 1.91/0.71  % System time              : 0.018 s
% 1.91/0.71  % Total time               : 0.263 s
% 1.91/0.71  % Maximum resident set size: 5920 pages
% 1.91/0.71  
% 1.91/0.71  % -------------------------------------------------
% 1.91/0.71  % User time                : 1.152 s
% 1.91/0.71  % System time              : 0.067 s
% 1.91/0.71  % Total time               : 1.220 s
% 1.91/0.71  % Maximum resident set size: 5632 pages
% 1.91/0.71  % E exiting
%------------------------------------------------------------------------------