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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : DAT004_1 : TPTP v9.3.1. Released v5.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM

% Computer : n008.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 01:13:52 PM UTC 2026

% Result   : Theorem 2.06s 1.27s
% Output   : CNFRefutation 2.06s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   25 (  13 unt;   0 typ;   0 def)
%            Number of atoms       :   44 (  43 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   30 (  11   ~;  11   |;   6   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number arithmetic     :  121 (   0 atm;   0 fun; 100 num;  21 var)
%            Number of types       :    2 (   1 usr;   1 ari;   0 dat;   0 cdt)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (   5 usr;  10 con; 0-3 aty)
%            Number of variables   :   35 (   0 sgn  29   !;   6   ?;  35   :)

% Comments : 
%------------------------------------------------------------------------------
tff(func_def_0,type,
    read: ( $int * array ) > $int ).

tff(func_def_1,type,
    write: ( $int * ( $int * array ) ) > array ).

tff(type_def_5,type,
    array: $tType ).

tff(func_def_9,type,
    sK0: array ).

tff(func_def_10,type,
    sK1: array ).

tff(func_def_11,type,
    sK2: $int ).

tff(f1,axiom,
    ! [X0: array,X1: $int,X2: $int] : ( read(write(X0,X1,X2),X1) = X2 ),
    file('/export/starexec/sandbox/benchmark/Axioms/DAT001_0.ax',ax1) ).

tff(f2,axiom,
    ! [X0: array,X1: $int,X2: $int,X3: $int] :
      ( ( read(write(X0,X1,X3),X2) = read(X0,X2) )
      | ( X1 = X2 ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/DAT001_0.ax',ax2) ).

tff(f3,conjecture,
    ! [X0: array,X1: array,X2: $int] :
      ( ( X0 = write(write(write(write(X1,3,33),4,44),5,55),X2,66) )
     => ( ( read(X0,4) = 66 )
        | ( read(X0,4) = 44 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

tff(f4,negated_conjecture,
    ~ ! [X0: array,X1: array,X2: $int] :
        ( ( X0 = write(write(write(write(X1,3,33),4,44),5,55),X2,66) )
       => ( ( read(X0,4) = 66 )
          | ( read(X0,4) = 44 ) ) ),
    inference(negated_conjecture,[status(cth)],[f3]) ).

tff(f5,plain,
    ? [X0: array,X1: array,X2: $int] :
      ( ( X0 = write(write(write(write(X1,3,33),4,44),5,55),X2,66) )
      & ( 66 != read(X0,4) )
      & ( 44 != read(X0,4) ) ),
    inference(ennf_transformation,[],[f4]) ).

tff(f6,plain,
    ? [X0: array,X1: array,X2: $int] :
      ( ( X0 = write(write(write(write(X1,3,33),4,44),5,55),X2,66) )
      & ( 66 != read(X0,4) )
      & ( 44 != read(X0,4) ) ),
    inference(flattening,[],[f5]) ).

tff(f7,plain,
    ( ( sK0 = write(write(write(write(sK1,3,33),4,44),5,55),sK2,66) )
    & ( 66 != read(sK0,4) )
    & ( 44 != read(sK0,4) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f6]) ).

tff(f8,plain,
    ! [X2: $int,X0: array,X1: $int] : ( read(write(X0,X1,X2),X1) = X2 ),
    inference(cnf_transformation,[],[f1]) ).

tff(f9,plain,
    ! [X2: $int,X3: $int,X0: array,X1: $int] :
      ( ( read(write(X0,X1,X3),X2) = read(X0,X2) )
      | ( X1 = X2 ) ),
    inference(cnf_transformation,[],[f2]) ).

tff(f10,plain,
    sK0 = write(write(write(write(sK1,3,33),4,44),5,55),sK2,66),
    inference(cnf_transformation,[],[f7]) ).

tff(f11,plain,
    66 != read(sK0,4),
    inference(cnf_transformation,[],[f7]) ).

tff(f12,plain,
    44 != read(sK0,4),
    inference(cnf_transformation,[],[f7]) ).

tcf(c_49,plain,
    ! [X0_int: $int,X0_array: array,X1_int: $int] : read(write(X0_array,X0_int,X1_int),X0_int) = X1_int,
    inference(cnf_transformation,[],[f8]) ).

tcf(c_50,plain,
    ! [X0_int: $int,X0_array: array,X1_int: $int,X2_int: $int] :
      ( ( X0_int = X2_int )
      | ( read(write(X0_array,X0_int,X1_int),X2_int) = read(X0_array,X2_int) ) ),
    inference(cnf_transformation,[],[f9]) ).

tcf(c_51,negated_conjecture,
    read(sK0,4) != 44,
    inference(cnf_transformation,[],[f12]) ).

tcf(c_52,negated_conjecture,
    read(sK0,4) != 66,
    inference(cnf_transformation,[],[f11]) ).

tcf(c_53,negated_conjecture,
    write(write(write(write(sK1,3,33),4,44),5,55),sK2,66) = sK0,
    inference(cnf_transformation,[],[f10]) ).

tcf(c_168,plain,
    read(sK0,sK2) = 66,
    inference(superposition,[status(thm)],[c_53,c_49]) ).

tcf(c_172,plain,
    ! [X0_int: $int] :
      ( ( X0_int = sK2 )
      | ( read(write(write(write(sK1,3,33),4,44),5,55),X0_int) = read(sK0,X0_int) ) ),
    inference(superposition,[status(thm)],[c_53,c_50]) ).

tcf(c_184,plain,
    ! [X0_int: $int] :
      ( ( X0_int = 5 )
      | ( X0_int = sK2 )
      | ( read(write(write(sK1,3,33),4,44),X0_int) = read(sK0,X0_int) ) ),
    inference(superposition,[status(thm)],[c_172,c_50]) ).

tcf(c_203,plain,
    ( ( 4 = 5 )
    | ( sK2 = 4 )
    | ( read(sK0,4) = 44 ) ),
    inference(superposition,[status(thm)],[c_184,c_49]) ).

tcf(c_205,plain,
    ( ( 4 = 5 )
    | ( sK2 = 4 ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_203,c_51]) ).

tcf(c_212,plain,
    sK2 = 4,
    inference(smt_theory_normalisation,[status(thm)],[c_205]) ).

tcf(c_216,plain,
    read(sK0,4) = 66,
    inference(demodulation,[status(thm)],[c_168,c_212]) ).

tcf(c_218,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_216,c_52]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : DAT004_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.36  % Computer : n008.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 : Fri Sep 25 10:20:09 UTC 2026
% 0.09/0.36  % CPUTime  : 
% 0.09/0.36  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/0.39  Running TFA theorem proving
% 0.14/0.39  Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s tfa_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.41  
% 0.14/0.41  % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.41  
% 0.14/0.41  % Detected problem language: tptp
% 0.14/0.42  % Proving...
% 2.06/1.27  % SZS status Started for theBenchmark.p
% 2.06/1.27  % SZS status Theorem for theBenchmark.p
% 2.06/1.27  
% 2.06/1.27  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.06/1.27  
% 2.06/1.27  % ------  iProver source info
% 2.06/1.27  
% 2.06/1.27  % git: date: 2026-07-19 20:42:38 +0200
% 2.06/1.27  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.06/1.27  % git: non_committed_changes: false
% 2.06/1.27  
% 2.06/1.27  % ------ Parsing...
% 2.06/1.27  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 2.06/1.27  
% 2.06/1.27  % ------ Preprocessing... sup_sim: 0  sf_s  rm: 8 0s  sf_e  pe_s  pe_e  sup_sim: 0  sf_s  rm: 2 0s  sf_e  pe_s  pe_e % 
% 2.06/1.27  
% 2.06/1.27  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 2.06/1.27  
% 2.06/1.27  % ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 2.06/1.27  % ------ Proving...
% 2.06/1.27  % ------ Problem Properties 
% 2.06/1.27  
% 2.06/1.27  % 
% 2.06/1.27  % clauses                               5
% 2.06/1.27  % conjectures                           3
% 2.06/1.27  % EPR                                   0
% 2.06/1.27  % Horn                                  4
% 2.06/1.27  % unary                                 4
% 2.06/1.27  % binary                                1
% 2.06/1.27  % lits                                  6
% 2.06/1.27  % lits eq                               6
% 2.06/1.27  % fd_pure                               0
% 2.06/1.27  % fd_pseudo                             0
% 2.06/1.27  % fd_cond                               0
% 2.06/1.27  % fd_pseudo_cond                        1
% 2.06/1.27  % AC symbols                            0
% 2.06/1.27  
% 2.06/1.27  % ------ Input Options Time Limit: Unbounded
% 2.06/1.27  
% 2.06/1.27  
% 2.06/1.27  % ------ 
% 2.06/1.27  % Current options:
% 2.06/1.27  % ------ 
% 2.06/1.27  
% 2.06/1.27  
% 2.06/1.27  % 
% 2.06/1.27  
% 2.06/1.27  % ------ Proving...
% 2.06/1.27  % 
% 2.06/1.27  
% 2.06/1.27  % SZS status Theorem for theBenchmark.p
% 2.06/1.27  
% 2.06/1.27  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.06/1.27  
% 2.06/1.27  
%------------------------------------------------------------------------------