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iProver---3.9.4.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SWV776-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM

% Computer : n007.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 : Fri Sep 25 03:24:11 PM UTC 2026

% Result   : Unsatisfiable 10.44s 2.32s
% Output   : CNFRefutation 10.44s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   24 (   6 unt;   0 def)
%            Number of atoms       :   42 (  22 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   37 (  19   ~;  18   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   13 (  13 usr;   7 con; 0-3 aty)
%            Number of variables   :   29 (   0 sgn  29   !;   0   ?;  16   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f563,axiom,
    ! [X0,X1] : X0 = c_List_Oappend(c_List_Olist_ONil(X1),X0,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eq__Nil__appendI_0) ).

fof(f564,plain,
    ! [X0,X1] : c_List_Oappend(c_List_Olist_ONil(X1),X0,X1) = X0,
    inference(reorient_equations,[],[f563]) ).

fof(f571,axiom,
    ! [X2,X0,X1] :
      ( ~ c_in(X0,c_Event_Obad,tc_Message_Oagent)
      | c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X0,X1),X2,tc_Event_Oevent)) = c_Set_Oinsert(X1,c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_knows__Spy__Notes_0) ).

fof(f575,axiom,
    ! [X2,X0,X1] :
      ( c_in(X0,c_Event_Obad,tc_Message_Oagent)
      | c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X0,X1),X2,tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_knows__Spy__Notes_1) ).

fof(f576,plain,
    ! [X2,X0,X1] :
      ( c_in(X0,c_Event_Obad,tc_Message_Oagent)
      | c_Event_Oknows(c_Message_Oagent_OSpy,X2) = c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X0,X1),X2,tc_Event_Oevent)) ),
    inference(reorient_equations,[],[f575]) ).

fof(f591,negated_conjecture,
    ( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
    | c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(c_List_Olist_ONil(tc_Event_Oevent),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,v_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) != c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f592,negated_conjecture,
    ( ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent)
    | c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(c_List_Olist_ONil(tc_Event_Oevent),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,v_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) != c_Set_Oinsert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

tcf(c_547,negated_conjecture,
    ( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
    | ( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(c_List_Olist_ONil(tc_Event_Oevent),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,v_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) != c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)) ) ),
    inference(cnf_transformation,[],[f591]) ).

tcf(c_548,negated_conjecture,
    ( ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent)
    | ( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(c_List_Olist_ONil(tc_Event_Oevent),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,v_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) != c_Set_Oinsert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg) ) ),
    inference(cnf_transformation,[],[f592]) ).

tcf(c_564,plain,
    ! [X0: $i,X1: $i] : c_List_Oappend(c_List_Olist_ONil(X0),X1,X0) = X1,
    inference(cnf_transformation,[],[f564]) ).

tcf(c_609,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c_in(X0,c_Event_Obad,tc_Message_Oagent)
      | ( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X0,X1),X2,tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,X2) ) ),
    inference(cnf_transformation,[],[f576]) ).

tcf(c_610,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X0,X1),X2,tc_Event_Oevent)) = c_Set_Oinsert(X1,c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_Message_Omsg) )
      | ~ c_in(X0,c_Event_Obad,tc_Message_Oagent) ),
    inference(cnf_transformation,[],[f571]) ).

tcf(c_1095,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X0,X1),X2,tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,X2) )
      | c_in(X0,c_Event_Obad,tc_Message_Oagent) ),
    inference(prop_impl_just,[status(thm)],[c_609]) ).

tcf(c_1096,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c_in(X0,c_Event_Obad,tc_Message_Oagent)
      | ( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X0,X1),X2,tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,X2) ) ),
    inference(renaming,[status(thm)],[c_1095]) ).

tcf(c_1151,plain,
    ( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
    | ( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(c_List_Olist_ONil(tc_Event_Oevent),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,v_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) != c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)) ) ),
    inference(prop_impl_just,[status(thm)],[c_547]) ).

tcf(c_1155,plain,
    ( ( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(c_List_Olist_ONil(tc_Event_Oevent),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,v_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) != c_Set_Oinsert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg) )
    | ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
    inference(prop_impl_just,[status(thm)],[c_548]) ).

tcf(c_1156,plain,
    ( ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent)
    | ( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(c_List_Olist_ONil(tc_Event_Oevent),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,v_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) != c_Set_Oinsert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg) ) ),
    inference(renaming,[status(thm)],[c_1155]) ).

tcf(c_2717,plain,
    ( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
    | ( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,v_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent)) != c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)) ) ),
    inference(demodulation,[status(thm)],[c_1151,c_564]) ).

tcf(c_2720,plain,
    c_in(v_A,c_Event_Obad,tc_Message_Oagent),
    inference(forward_subsumption_resolution,[status(thm)],[c_2717,c_1096]) ).

tcf(c_2737,plain,
    ( ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent)
    | ( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,v_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent)) != c_Set_Oinsert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg) ) ),
    inference(demodulation,[status(thm)],[c_1156,c_564]) ).

tcf(c_2738,plain,
    c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,v_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent)) != c_Set_Oinsert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg),
    inference(forward_subsumption_resolution,[status(thm)],[c_2737,c_2720]) ).

tcf(c_8470,plain,
    ! [X0: $i,X1: $i] :
      ( ( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X0),X1,tc_Event_Oevent)) = c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg) )
      | ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
    inference(instantiation,[status(thm)],[c_610]) ).

tcf(c_14440,plain,
    ( ( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,v_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent)) = c_Set_Oinsert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg) )
    | ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
    inference(instantiation,[status(thm)],[c_8470]) ).

tcf(c_14441,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_14440,c_2738,c_2720]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWV776-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/0.36  % Computer : n007.cluster.edu
% 0.13/0.36  % Model    : x86_64 x86_64
% 0.13/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36  % Memory   : 8046.5625MB
% 0.13/0.36  % OS       : Linux 6.8.0-71-generic
% 0.13/0.36  % CPULimit : 300
% 0.13/0.36  % WCLimit  : 300
% 0.13/0.36  % DateTime : Thu Sep 24 21:02:08 UTC 2026
% 0.15/0.37  % CPUTime  : 
% 0.15/0.37  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.15/0.41  Running first-order theorem proving
% 0.15/0.41  Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.42  
% 0.15/0.42  % ======== iProver multi-core TPTP/SMT =========
% 0.15/0.42  
% 0.15/0.42  % Detected problem language: tptp
% 0.15/0.44  % Proving...
% 10.44/2.32  % SZS status Started for theBenchmark.p
% 10.44/2.32  % SZS status Unsatisfiable for theBenchmark.p
% 10.44/2.32  
% 10.44/2.32  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 10.44/2.32  
% 10.44/2.32  % ------  iProver source info
% 10.44/2.32  
% 10.44/2.32  % git: date: 2026-07-19 20:42:38 +0200
% 10.44/2.32  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 10.44/2.32  % git: non_committed_changes: false
% 10.44/2.32  
% 10.44/2.32  % ------ Parsing...% successful
% 10.44/2.32  
% 10.44/2.32  
% 10.44/2.32  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 10.44/2.32  
% 10.44/2.32  % ------ Preprocessing... sup_sim: 11  sf_s  rm: 1 0s  sf_e  pe_s  pe_e  sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e % 
% 10.44/2.32  
% 10.44/2.32  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 10.44/2.32  
% 10.44/2.32  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 10.44/2.32  % ------ Proving...
% 10.44/2.32  % ------ Problem Properties 
% 10.44/2.32  
% 10.44/2.32  % 
% 10.44/2.32  % clauses                               168
% 10.44/2.32  % conjectures                           0
% 10.44/2.32  % EPR                                   2
% 10.44/2.32  % Horn                                  154
% 10.44/2.32  % unary                                 55
% 10.44/2.32  % binary                                79
% 10.44/2.32  % lits                                  319
% 10.44/2.32  % lits eq                               101
% 10.44/2.32  % fd_pure                               0
% 10.44/2.32  % fd_pseudo                             0
% 10.44/2.32  % fd_cond                               2
% 10.44/2.32  % fd_pseudo_cond                        28
% 10.44/2.32  % AC symbols                            0
% 10.44/2.32  
% 10.44/2.32  % ------ Schedule dynamic 5 is on 
% 10.44/2.32  
% 10.44/2.32  % ------ no conjectures: strip conj schedule 
% 10.44/2.32  
% 10.44/2.32  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 10.44/2.32  
% 10.44/2.32  
% 10.44/2.32  % ------ 
% 10.44/2.32  % Current options:
% 10.44/2.32  % ------ 
% 10.44/2.32  
% 10.44/2.32  
% 10.44/2.32  % 
% 10.44/2.32  
% 10.44/2.32  % ------ Proving...
% 10.44/2.32  % 
% 10.44/2.32  
% 10.44/2.32  % SZS status Unsatisfiable for theBenchmark.p
% 10.44/2.32  
% 10.44/2.32  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 10.44/2.32  
% 10.44/2.32  
%------------------------------------------------------------------------------