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iProver---3.9.4.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SWV242-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM

% Computer : n006.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 03:16:45 PM UTC 2026

% Result   : Unsatisfiable 3.24s 1.19s
% Output   : CNFRefutation 3.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   21 (  11 unt;   0 def)
%            Number of atoms       :   34 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   31 (  18   ~;  13   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-3 aty)
%            Number of variables   :   29 (   0 sgn  29   !;   0   ?;  17   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f1447,axiom,
    ! [X0,X1] :
      ( c_lessequals(c_Message_Oanalz(X0),c_Message_Oanalz(X1),tc_set(tc_Message_Omsg))
      | ~ c_lessequals(X0,X1,tc_set(tc_Message_Omsg)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oanalz__mono_0) ).

fof(f1462,axiom,
    ! [X2,X0,X1] : c_lessequals(X0,c_union(X0,X1,X2),tc_set(X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__upper1_0) ).

fof(f1463,axiom,
    ! [X2,X0,X1] : c_lessequals(X0,c_union(X1,X0,X2),tc_set(X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__upper2_0) ).

fof(f1464,axiom,
    ! [X2,X3,X0,X1] :
      ( c_lessequals(X3,X1,tc_set(X2))
      | ~ c_lessequals(X3,X0,tc_set(X2))
      | ~ c_lessequals(X0,X1,tc_set(X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Osubset__trans_0) ).

fof(f1465,negated_conjecture,
    c_lessequals(v_G,c_Message_Oanalz(v_G_H),tc_set(tc_Message_Omsg)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f1466,negated_conjecture,
    c_lessequals(v_H,c_Message_Oanalz(v_H_H),tc_set(tc_Message_Omsg)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f1467,negated_conjecture,
    ( ~ c_lessequals(v_G,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
    | ~ c_lessequals(v_H,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

tcf(c_1441,negated_conjecture,
    c_lessequals(v_G,c_Message_Oanalz(v_G_H),tc_set(tc_Message_Omsg)),
    inference(cnf_transformation,[],[f1465]) ).

tcf(c_1442,negated_conjecture,
    c_lessequals(v_H,c_Message_Oanalz(v_H_H),tc_set(tc_Message_Omsg)),
    inference(cnf_transformation,[],[f1466]) ).

tcf(c_1443,negated_conjecture,
    ( ~ c_lessequals(v_H,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
    | ~ c_lessequals(v_G,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
    inference(cnf_transformation,[],[f1467]) ).

tcf(c_1444,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( c_lessequals(X3,X1,tc_set(X2))
      | ~ c_lessequals(X3,X0,tc_set(X2))
      | ~ c_lessequals(X0,X1,tc_set(X2)) ),
    inference(cnf_transformation,[],[f1464]) ).

tcf(c_1455,plain,
    ! [X0: $i,X1: $i] :
      ( c_lessequals(c_Message_Oanalz(X0),c_Message_Oanalz(X1),tc_set(tc_Message_Omsg))
      | ~ c_lessequals(X0,X1,tc_set(tc_Message_Omsg)) ),
    inference(cnf_transformation,[],[f1447]) ).

tcf(c_1460,plain,
    ! [X0: $i,X1: $i,X2: $i] : c_lessequals(X0,c_union(X1,X0,X2),tc_set(X2)),
    inference(cnf_transformation,[],[f1463]) ).

tcf(c_1461,plain,
    ! [X0: $i,X1: $i,X2: $i] : c_lessequals(X0,c_union(X0,X1,X2),tc_set(X2)),
    inference(cnf_transformation,[],[f1462]) ).

tcf(c_5985,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c_lessequals(X0,c_Message_Oanalz(X2),tc_set(tc_Message_Omsg))
      | ~ c_lessequals(X1,X2,tc_set(tc_Message_Omsg))
      | ~ c_lessequals(X0,c_Message_Oanalz(X1),tc_set(tc_Message_Omsg)) ),
    inference(superposition,[status(thm)],[c_1455,c_1444]) ).

tcf(c_6150,plain,
    ! [X0: $i] :
      ( c_lessequals(v_G,c_Message_Oanalz(X0),tc_set(tc_Message_Omsg))
      | ~ c_lessequals(v_G_H,X0,tc_set(tc_Message_Omsg)) ),
    inference(superposition,[status(thm)],[c_1441,c_5985]) ).

tcf(c_6151,plain,
    ! [X0: $i] :
      ( c_lessequals(v_H,c_Message_Oanalz(X0),tc_set(tc_Message_Omsg))
      | ~ c_lessequals(v_H_H,X0,tc_set(tc_Message_Omsg)) ),
    inference(superposition,[status(thm)],[c_1442,c_5985]) ).

tcf(c_6258,plain,
    ( ~ c_lessequals(v_H_H,c_union(v_G_H,v_H_H,tc_Message_Omsg),tc_set(tc_Message_Omsg))
    | ~ c_lessequals(v_G,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
    inference(superposition,[status(thm)],[c_6151,c_1443]) ).

tcf(c_6274,plain,
    ~ c_lessequals(v_G,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
    inference(forward_subsumption_resolution,[status(thm)],[c_6258,c_1460]) ).

tcf(c_6288,plain,
    ~ c_lessequals(v_G_H,c_union(v_G_H,v_H_H,tc_Message_Omsg),tc_set(tc_Message_Omsg)),
    inference(superposition,[status(thm)],[c_6150,c_6274]) ).

tcf(c_6289,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_6288,c_1461]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWV242-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.35  % Computer : n006.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 : Thu Sep 24 18:50:11 UTC 2026
% 0.09/0.36  % CPUTime  : 
% 0.09/0.36  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/0.39  Running first-order theorem proving
% 0.13/0.39  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
% 0.13/0.41  
% 0.13/0.41  % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.41  
% 0.13/0.41  % Detected problem language: tptp
% 0.13/0.42  % Proving...
% 3.24/1.19  % SZS status Started for theBenchmark.p
% 3.24/1.19  % SZS status Unsatisfiable for theBenchmark.p
% 3.24/1.19  
% 3.24/1.19  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.24/1.19  
% 3.24/1.19  % ------  iProver source info
% 3.24/1.19  
% 3.24/1.19  % git: date: 2026-07-19 20:42:38 +0200
% 3.24/1.19  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.24/1.19  % git: non_committed_changes: false
% 3.24/1.19  
% 3.24/1.19  % ------ Parsing...% successful
% 3.24/1.19  
% 3.24/1.19  
% 3.24/1.19  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 3.24/1.19  
% 3.24/1.19  % ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe_e  sup_sim: 0  sf_s  rm: 26 0s  sf_e  pe_s  pe_e % 
% 3.24/1.19  
% 3.24/1.19  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 3.24/1.19  
% 3.24/1.19  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.24/1.19  % ------ Proving...
% 3.24/1.19  % ------ Problem Properties 
% 3.24/1.19  
% 3.24/1.19  % 
% 3.24/1.19  % clauses                               55
% 3.24/1.19  % conjectures                           3
% 3.24/1.19  % EPR                                   9
% 3.24/1.19  % Horn                                  50
% 3.24/1.19  % unary                                 19
% 3.24/1.19  % binary                                28
% 3.24/1.19  % lits                                  99
% 3.24/1.19  % lits eq                               19
% 3.24/1.19  % fd_pure                               0
% 3.24/1.19  % fd_pseudo                             0
% 3.24/1.19  % fd_cond                               4
% 3.24/1.19  % fd_pseudo_cond                        7
% 3.24/1.19  % AC symbols                            0
% 3.24/1.19  
% 3.24/1.19  % ------ Schedule dynamic 5 is on 
% 3.24/1.19  
% 3.24/1.19  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.24/1.19  
% 3.24/1.19  
% 3.24/1.19  % ------ 
% 3.24/1.19  % Current options:
% 3.24/1.19  % ------ 
% 3.24/1.19  
% 3.24/1.19  
% 3.24/1.19  % 
% 3.24/1.19  
% 3.24/1.19  % ------ Proving...
% 3.24/1.19  % 
% 3.24/1.19  
% 3.24/1.19  % SZS status Unsatisfiable for theBenchmark.p
% 3.24/1.19  
% 3.24/1.19  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.24/1.19  
% 3.24/1.19  
%------------------------------------------------------------------------------