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E-SAT---3.5.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : E-SAT---3.5.1
% Problem  : SWV335-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n004.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 03:01:17 PM UTC 2026

% Result   : Unsatisfiable 3.22s 6.13s
% Output   : CNFRefutation 3.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   30 (  15 unt;   6 nHn;  30 RR)
%            Number of literals    :   54 (   0 equ;  25 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   14 (  14 usr;   6 con; 0-3 aty)
%            Number of variables   :   42 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_Message_OFake__parts__insert__in__Un__dest_0,axiom,
    ( ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oparts(c_insert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg)
    | c_in(X1,c_union(c_Message_Osynth(c_Message_Oanalz(X3)),c_Message_Oparts(X3),tc_Message_Omsg),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV006-3.ax',cls_Message_OFake__parts__insert__in__Un__dest_0) ).

cnf(cls_Set_OUnE_0,axiom,
    ( ~ c_in(X1,c_union(X2,X3,X4),X4)
    | c_in(X1,X2,X4)
    | c_in(X1,X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Set_OUnE_0) ).

cnf(cls_conjecture_3,negated_conjecture,
    c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).

cnf(cls_conjecture_1,negated_conjecture,
    c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(cls_conjecture_4,negated_conjecture,
    ~ c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).

cnf(cls_Message_Oanalz__into__parts__dest_0,axiom,
    ( ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
    | c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV006-3.ax',cls_Message_Oanalz__into__parts__dest_0) ).

cnf(cls_Message_OCrypt__synth_1,axiom,
    ( ~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Osynth(X3),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg)
    | c_in(X2,c_Message_Osynth(X3),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV006-0.ax',cls_Message_OCrypt__synth_1) ).

cnf(cls_Message_ONonce__synth_0,axiom,
    ( ~ c_in(c_Message_Omsg_ONonce(X1),c_Message_Osynth(X2),tc_Message_Omsg)
    | c_in(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV006-0.ax',cls_Message_ONonce__synth_0) ).

cnf(cls_conjecture_2,negated_conjecture,
    ~ c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

cnf(c_0_9,plain,
    ( ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oparts(c_insert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg)
    | c_in(X1,c_union(c_Message_Osynth(c_Message_Oanalz(X3)),c_Message_Oparts(X3),tc_Message_Omsg),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[cls_Message_OFake__parts__insert__in__Un__dest_0]) ).

cnf(c_0_10,plain,
    ( ~ c_in(X1,c_union(X2,X3,X4),X4)
    | c_in(X1,X2,X4)
    | c_in(X1,X3,X4) ),
    inference(fof_simplification,[status(thm)],[cls_Set_OUnE_0]) ).

cnf(c_0_11,plain,
    ( ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oparts(c_insert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg)
    | c_in(X1,c_union(c_Message_Osynth(c_Message_Oanalz(X3)),c_Message_Oparts(X3),tc_Message_Omsg),tc_Message_Omsg) ),
    c_0_9 ).

cnf(c_0_12,negated_conjecture,
    c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg),
    cls_conjecture_3 ).

cnf(c_0_13,negated_conjecture,
    c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),
    cls_conjecture_1 ).

cnf(c_0_14,negated_conjecture,
    ~ c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),
    inference(fof_simplification,[status(thm)],[cls_conjecture_4]) ).

cnf(c_0_15,plain,
    ( ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
    | c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[cls_Message_Oanalz__into__parts__dest_0]) ).

cnf(c_0_16,plain,
    ( ~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Osynth(X3),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg)
    | c_in(X2,c_Message_Osynth(X3),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[cls_Message_OCrypt__synth_1]) ).

cnf(c_0_17,plain,
    ( ~ c_in(X1,c_union(X2,X3,X4),X4)
    | c_in(X1,X2,X4)
    | c_in(X1,X3,X4) ),
    c_0_10 ).

cnf(c_0_18,negated_conjecture,
    c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),tc_Message_Omsg),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13])]) ).

cnf(c_0_19,negated_conjecture,
    ~ c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),
    c_0_14 ).

cnf(c_0_20,plain,
    ( ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
    | c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
    c_0_15 ).

cnf(c_0_21,plain,
    ( ~ c_in(c_Message_Omsg_ONonce(X1),c_Message_Osynth(X2),tc_Message_Omsg)
    | c_in(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[cls_Message_ONonce__synth_0]) ).

cnf(c_0_22,plain,
    ( ~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Osynth(X3),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg)
    | c_in(X2,c_Message_Osynth(X3),tc_Message_Omsg) ),
    c_0_16 ).

cnf(c_0_23,negated_conjecture,
    c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]) ).

cnf(c_0_24,negated_conjecture,
    ~ c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_25,negated_conjecture,
    ~ c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),
    inference(fof_simplification,[status(thm)],[cls_conjecture_2]) ).

cnf(c_0_26,plain,
    ( ~ c_in(c_Message_Omsg_ONonce(X1),c_Message_Osynth(X2),tc_Message_Omsg)
    | c_in(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg) ),
    c_0_21 ).

cnf(c_0_27,negated_conjecture,
    c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]) ).

cnf(c_0_28,negated_conjecture,
    ~ c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),
    c_0_25 ).

cnf(c_0_29,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : SWV335-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.07  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.19/5.46  % Computer : n004.cluster.edu
% 0.19/5.46  % Model    : x86_64 x86_64
% 0.19/5.46  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/5.46  % Memory   : 8046.5625MB
% 0.19/5.46  % OS       : Linux 6.8.0-71-generic
% 0.19/5.46  % CPULimit : 300
% 0.19/5.46  % WCLimit  : 300
% 0.19/5.46  % DateTime : Mon Sep 21 08:41:41 UTC 2026
% 0.19/5.46  % CPUTime  : 
% 0.19/5.46  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.23/5.53  Running first-order theorem proving
% 0.23/5.53  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/benchmark/theBenchmark.p
% 3.22/6.13  % Version: 3.5.1
% 3.22/6.13  % Preprocessing class: FMLMSMSMSSSNFFN.
% 3.22/6.13  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.22/6.13  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 3.22/6.13  % Starting new_bool_3 with 300s (1) cores
% 3.22/6.13  % Starting new_bool_1 with 300s (1) cores
% 3.22/6.13  % Starting sh5l with 300s (1) cores
% 3.22/6.13  % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 2745681 completed with status 0
% 3.22/6.13  % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 3.22/6.13  % Preprocessing class: FMLMSMSMSSSNFFN.
% 3.22/6.13  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.22/6.13  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 3.22/6.13  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 3.22/6.13  % No SInE strategy applied
% 3.22/6.13  % Search class: FGHSM-SSLM32-DFFFFFNN
% 3.22/6.13  % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 3.22/6.13  % Starting SubtermCWHack with 136s (1) cores
% 3.22/6.13  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 3.22/6.13  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with 113s (1) cores
% 3.22/6.13  % Starting G-E--_208_B07_F1_SE_CS_SP_PS_S4d with 113s (1) cores
% 3.22/6.13  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 113s (1) cores
% 3.22/6.13  % G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with pid 2745691 completed with status 0
% 3.22/6.13  % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI
% 3.22/6.13  % Preprocessing class: FMLMSMSMSSSNFFN.
% 3.22/6.13  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.22/6.13  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 3.22/6.13  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 3.22/6.13  % No SInE strategy applied
% 3.22/6.13  % Search class: FGHSM-SSLM32-DFFFFFNN
% 3.22/6.13  % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 3.22/6.13  % Starting SubtermCWHack with 136s (1) cores
% 3.22/6.13  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 3.22/6.13  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with 113s (1) cores
% 3.22/6.13  % Starting G-E--_208_B07_F1_SE_CS_SP_PS_S4d with 113s (1) cores
% 3.22/6.13  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 113s (1) cores
% 3.22/6.13  % Preprocessing time       : 0.021 s
% 3.22/6.13  % Presaturation interreduction done
% 3.22/6.13  
% 3.22/6.13  % Proof found!
% 3.22/6.13  % SZS status Unsatisfiable
% 3.22/6.13  % SZS output start CNFRefutation
% See solution above
% 3.22/6.13  % Parsed axioms                        : 1485
% 3.22/6.13  % Removed by relevancy pruning/SinE    : 0
% 3.22/6.13  % Initial clauses                      : 1485
% 3.22/6.13  % Removed in clause preprocessing      : 3
% 3.22/6.13  % Initial clauses in saturation        : 1482
% 3.22/6.13  % Processed clauses                    : 3314
% 3.22/6.13  % ...of these trivial                  : 8
% 3.22/6.13  % ...subsumed                          : 488
% 3.22/6.13  % ...remaining for further processing  : 2818
% 3.22/6.13  % Other redundant clauses eliminated   : 4
% 3.22/6.13  % Clauses deleted for lack of memory   : 0
% 3.22/6.13  % Backward-subsumed                    : 1
% 3.22/6.13  % Backward-rewritten                   : 6
% 3.22/6.13  % Generated clauses                    : 3882
% 3.22/6.13  % ...of the previous two non-redundant : 3040
% 3.22/6.13  % ...aggressively subsumed             : 0
% 3.22/6.13  % Contextual simplify-reflections      : 2
% 3.22/6.13  % Paramodulations                      : 3834
% 3.22/6.13  % Factorizations                       : 0
% 3.22/6.13  % NegExts                              : 0
% 3.22/6.13  % Equation resolutions                 : 48
% 3.22/6.13  % Disequality decompositions           : 0
% 3.22/6.13  % Total rewrite steps                  : 812
% 3.22/6.13  % ...of those cached                   : 713
% 3.22/6.13  % Propositional unsat checks           : 0
% 3.22/6.13  %    Propositional check models        : 0
% 3.22/6.13  %    Propositional check unsatisfiable : 0
% 3.22/6.13  %    Propositional clauses             : 0
% 3.22/6.13  %    Propositional clauses after purity: 0
% 3.22/6.13  %    Propositional unsat core size     : 0
% 3.22/6.13  %    Propositional preprocessing time  : 0.000
% 3.22/6.13  %    Propositional encoding time       : 0.000
% 3.22/6.13  %    Propositional solver time         : 0.000
% 3.22/6.13  %    Success case prop preproc time    : 0.000
% 3.22/6.13  %    Success case prop encoding time   : 0.000
% 3.22/6.13  %    Success case prop solver time     : 0.000
% 3.22/6.13  % Current number of processed clauses  : 1385
% 3.22/6.13  %    Positive orientable unit clauses  : 194
% 3.22/6.13  %    Positive unorientable unit clauses: 0
% 3.22/6.13  %    Negative unit clauses             : 77
% 3.22/6.13  %    Non-unit-clauses                  : 1114
% 3.22/6.13  % Current number of unprocessed clauses: 2634
% 3.22/6.13  % ...number of literals in the above   : 5383
% 3.22/6.13  % Current number of archived formulas  : 0
% 3.22/6.13  % Current number of archived clauses   : 1434
% 3.22/6.13  % Clause-clause subsumption calls (NU) : 1071632
% 3.22/6.13  % Rec. Clause-clause subsumption calls : 1026023
% 3.22/6.13  % Non-unit clause-clause subsumptions  : 433
% 3.22/6.13  % Unit Clause-clause subsumption calls : 15377
% 3.22/6.13  % Rewrite failures with RHS unbound    : 0
% 3.22/6.13  % BW rewrite match attempts            : 45
% 3.22/6.13  % BW rewrite match successes           : 6
% 3.22/6.13  % Condensation attempts                : 0
% 3.22/6.13  % Condensation successes               : 0
% 3.22/6.13  % Termbank termtop insertions          : 68372
% 3.22/6.13  % Search garbage collected termcells   : 1853
% 3.22/6.13  
% 3.22/6.13  % -------------------------------------------------
% 3.22/6.13  % User time                : 0.486 s
% 3.22/6.13  % System time              : 0.023 s
% 3.22/6.13  % Total time               : 0.509 s
% 3.22/6.13  % Maximum resident set size: 5728 pages
% 3.22/6.13  
% 3.22/6.13  % -------------------------------------------------
% 3.22/6.13  % User time                : 2.113 s
% 3.22/6.13  % System time              : 0.079 s
% 3.22/6.13  % Total time               : 2.191 s
% 3.22/6.13  % Maximum resident set size: 5376 pages
% 3.22/6.13  % E exiting
%------------------------------------------------------------------------------