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iProver---3.9.4.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SWV840-1 : 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 : n018.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 03:24:19 PM UTC 2026

% Result   : Unsatisfiable 10.48s 2.25s
% Output   : CNFRefutation 10.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   14 (   9 unt;   0 def)
%            Number of atoms       :   21 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   17 (  10   ~;   7   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   16 (  16 usr;   9 con; 0-3 aty)
%            Number of variables   :   27 (   0 sgn  27   !;   0   ?;  17   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f263,axiom,
    ! [X2,X0,X1] : c_lessequals(X0,c_Set_Oinsert(X1,X0,X2),tc_fun(X2,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__insertI_0) ).

fof(f413,axiom,
    ! [X2,X0,X1] :
      ( ~ c_lessequals(X1,X0,tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool))
      | c_Hoare__Mirabelle_Ohoare__derivs(X0,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_asm_0) ).

fof(f487,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ c_Hoare__Mirabelle_Ohoare__derivs(X3,X1,X2)
      | ~ c_Hoare__Mirabelle_Ohoare__derivs(X0,X3,X2)
      | c_Hoare__Mirabelle_Ohoare__derivs(X0,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_cut_0) ).

fof(f512,negated_conjecture,
    c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),v_Q),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f513,negated_conjecture,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Com_Ocom_OBODY,v_pn)),v_Q),v_G,tc_Hoare__Mirabelle_Otriple(t_a)),c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),v_Q),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

tcf(c_518,negated_conjecture,
    c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),v_Q),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a),
    inference(cnf_transformation,[],[f512]) ).

tcf(c_519,negated_conjecture,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Com_Ocom_OBODY,v_pn)),v_Q),v_G,tc_Hoare__Mirabelle_Otriple(t_a)),c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),v_Q),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a),
    inference(cnf_transformation,[],[f513]) ).

tcf(c_543,plain,
    ! [X0: $i,X1: $i,X2: $i] : c_lessequals(X0,c_Set_Oinsert(X1,X0,X2),tc_fun(X2,tc_bool)),
    inference(cnf_transformation,[],[f263]) ).

tcf(c_546,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(X0,X3,X2)
      | ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X3,X2)
      | ~ c_Hoare__Mirabelle_Ohoare__derivs(X0,X1,X2) ),
    inference(cnf_transformation,[],[f487]) ).

tcf(c_549,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(X1,X0,X2)
      | ~ c_lessequals(X0,X1,tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool)) ),
    inference(cnf_transformation,[],[f413]) ).

tcf(c_10322,plain,
    ! [X0: $i,X1: $i,X2: $i] : c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oinsert(X0,X1,tc_Hoare__Mirabelle_Otriple(X2)),X1,X2),
    inference(superposition,[status(thm)],[c_543,c_549]) ).

tcf(c_10509,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oinsert(X3,X0,tc_Hoare__Mirabelle_Otriple(X2)),X1,X2)
      | ~ c_Hoare__Mirabelle_Ohoare__derivs(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_10322,c_546]) ).

tcf(c_10595,plain,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),v_Q),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a),
    inference(superposition,[status(thm)],[c_10509,c_519]) ).

tcf(c_10599,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_10595,c_518]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWV840-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.36  % Computer : n018.cluster.edu
% 0.09/0.36  % Model    : x86_64 x86_64
% 0.09/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36  % Memory   : 8046.5625MB
% 0.09/0.36  % OS       : Linux 6.8.0-71-generic
% 0.09/0.36  % CPULimit : 300
% 0.09/0.36  % WCLimit  : 300
% 0.09/0.36  % DateTime : Thu Sep 24 21:11:04 UTC 2026
% 0.09/0.36  % CPUTime  : 
% 0.09/0.36  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/0.40  Running first-order theorem proving
% 0.13/0.40  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  
% 0.13/0.42  % Detected problem language: tptp
% 0.13/0.43  % Proving...
% 10.48/2.25  % SZS status Started for theBenchmark.p
% 10.48/2.25  % SZS status Unsatisfiable for theBenchmark.p
% 10.48/2.25  
% 10.48/2.25  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 10.48/2.25  
% 10.48/2.25  % ------  iProver source info
% 10.48/2.25  
% 10.48/2.25  % git: date: 2026-07-19 20:42:38 +0200
% 10.48/2.25  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 10.48/2.25  % git: non_committed_changes: false
% 10.48/2.25  
% 10.48/2.25  % ------ Parsing...% successful
% 10.48/2.25  
% 10.48/2.25  
% 10.48/2.25  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 10.48/2.25  
% 10.48/2.25  % ------ Preprocessing... sup_sim: 5  sf_s  rm: 15 0s  sf_e  pe_s  pe_e  sup_sim: 0  sf_s  rm: 2 0s  sf_e  pe_s  pe_e % 
% 10.48/2.25  
% 10.48/2.25  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 10.48/2.25  
% 10.48/2.25  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 10.48/2.25  % ------ Proving...
% 10.48/2.25  % ------ Problem Properties 
% 10.48/2.25  
% 10.48/2.25  % 
% 10.48/2.25  % clauses                               228
% 10.48/2.25  % conjectures                           2
% 10.48/2.25  % EPR                                   17
% 10.48/2.25  % Horn                                  201
% 10.48/2.25  % unary                                 80
% 10.48/2.25  % binary                                86
% 10.48/2.25  % lits                                  444
% 10.48/2.25  % lits eq                               158
% 10.48/2.25  % fd_pure                               0
% 10.48/2.25  % fd_pseudo                             0
% 10.48/2.25  % fd_cond                               0
% 10.48/2.25  % fd_pseudo_cond                        40
% 10.48/2.25  % AC symbols                            0
% 10.48/2.25  
% 10.48/2.25  % ------ Schedule dynamic 5 is on 
% 10.48/2.25  
% 10.48/2.25  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 10.48/2.25  
% 10.48/2.25  
% 10.48/2.25  % ------ 
% 10.48/2.25  % Current options:
% 10.48/2.25  % ------ 
% 10.48/2.25  
% 10.48/2.25  
% 10.48/2.25  % 
% 10.48/2.25  
% 10.48/2.25  % ------ Proving...
% 10.48/2.25  % 
% 10.48/2.25  
% 10.48/2.25  % SZS status Unsatisfiable for theBenchmark.p
% 10.48/2.25  
% 10.48/2.25  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 10.48/2.25  
% 10.48/2.25  
%------------------------------------------------------------------------------