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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : KLE020+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM

% Computer : n012.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 01:52:10 PM UTC 2026

% Result   : Theorem 11.69s 2.48s
% Output   : CNFRefutation 11.69s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   92 (  55 unt;   0 def)
%            Number of atoms       :  170 (  79 equ)
%            Maximal formula atoms :    8 (   1 avg)
%            Number of connectives :  129 (  51   ~;  42   |;  27   &)
%                                         (   5 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   5 con; 0-2 aty)
%            Number of variables   :  124 (   0 sgn 115   !;   9   ?;  44   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1] : addition(X0,X1) = addition(X1,X0),
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',additive_commutativity) ).

fof(f2,axiom,
    ! [X0,X1,X2] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',additive_associativity) ).

fof(f3,axiom,
    ! [X0] : addition(X0,zero) = X0,
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',additive_identity) ).

fof(f4,axiom,
    ! [X0] : addition(X0,X0) = X0,
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',additive_idempotence) ).

fof(f6,axiom,
    ! [X0] : multiplication(X0,one) = X0,
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',multiplicative_right_identity) ).

fof(f7,axiom,
    ! [X0] : multiplication(one,X0) = X0,
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',multiplicative_left_identity) ).

fof(f8,axiom,
    ! [X0,X1,X2] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',right_distributivity) ).

fof(f9,axiom,
    ! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',left_distributivity) ).

fof(f12,axiom,
    ! [X0,X1] :
      ( leq(X0,X1)
    <=> addition(X0,X1) = X1 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',order) ).

fof(f13,axiom,
    ! [X0] :
      ( test(X0)
    <=> ? [X1] : complement(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+1.ax',test_1) ).

fof(f14,axiom,
    ! [X0,X1] :
      ( complement(X1,X0)
    <=> ( addition(X0,X1) = one
        & multiplication(X1,X0) = zero
        & multiplication(X0,X1) = zero ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+1.ax',test_2) ).

fof(f15,axiom,
    ! [X0,X1] :
      ( test(X0)
     => ( c(X0) = X1
      <=> complement(X0,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+1.ax',test_3) ).

fof(f17,conjecture,
    ! [X0,X1,X2] :
      ( ( test(X2)
        & test(X1)
        & test(X0) )
     => ( leq(multiplication(addition(X0,X1),addition(X0,X2)),addition(X0,multiplication(X1,X2)))
        & leq(addition(X0,multiplication(X1,X2)),multiplication(addition(X0,X1),addition(X0,X2))) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).

fof(f18,negated_conjecture,
    ~ ! [X0,X1,X2] :
        ( ( test(X2)
          & test(X1)
          & test(X0) )
       => ( leq(multiplication(addition(X0,X1),addition(X0,X2)),addition(X0,multiplication(X1,X2)))
          & leq(addition(X0,multiplication(X1,X2)),multiplication(addition(X0,X1),addition(X0,X2))) ) ),
    inference(negated_conjecture,[status(cth)],[f17]) ).

fof(f19,plain,
    ! [X0,X1] :
      ( addition(X0,X1) = X1
     => leq(X0,X1) ),
    inference(unused_predicate_definition_removal,[],[f12]) ).

fof(f20,plain,
    ? [X0,X1,X2] :
      ( test(X2)
      & test(X1)
      & test(X0)
      & ( ~ leq(multiplication(addition(X0,X1),addition(X0,X2)),addition(X0,multiplication(X1,X2)))
        | ~ leq(addition(X0,multiplication(X1,X2)),multiplication(addition(X0,X1),addition(X0,X2))) ) ),
    inference(ennf_transformation,[],[f18]) ).

fof(f21,plain,
    ? [X0,X1,X2] :
      ( test(X2)
      & test(X1)
      & test(X0)
      & ( ~ leq(multiplication(addition(X0,X1),addition(X0,X2)),addition(X0,multiplication(X1,X2)))
        | ~ leq(addition(X0,multiplication(X1,X2)),multiplication(addition(X0,X1),addition(X0,X2))) ) ),
    inference(flattening,[],[f20]) ).

fof(f22,plain,
    ! [X0,X1] :
      ( addition(X0,X1) != X1
      | leq(X0,X1) ),
    inference(ennf_transformation,[],[f19]) ).

fof(f23,plain,
    ! [X0,X1] :
      ( ~ test(X0)
      | ( c(X0) = X1
      <=> complement(X0,X1) ) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f25,plain,
    ( test(sK2)
    & test(sK1)
    & test(sK0)
    & ( ~ leq(multiplication(addition(sK0,sK1),addition(sK0,sK2)),addition(sK0,multiplication(sK1,sK2)))
      | ~ leq(addition(sK0,multiplication(sK1,sK2)),multiplication(addition(sK0,sK1),addition(sK0,sK2))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f21]) ).

fof(f26,plain,
    ! [X0] :
      ( ( ~ test(X0)
        | ? [X1] : complement(X1,X0) )
      & ( ! [X1] : ~ complement(X1,X0)
        | test(X0) ) ),
    inference(nnf_transformation,[],[f13]) ).

fof(f27,plain,
    ! [X0] :
      ( ( ~ test(X0)
        | ? [X2] : complement(X2,X0) )
      & ( ! [X1] : ~ complement(X1,X0)
        | test(X0) ) ),
    inference(rectify,[],[f26]) ).

fof(f28,plain,
    ! [X0] :
      ( ( ~ test(X0)
        | complement(sK3(X0),X0) )
      & ( ! [X1] : ~ complement(X1,X0)
        | test(X0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X2,sK3(X0))],[f27]) ).

fof(f29,plain,
    ! [X0,X1] :
      ( ~ test(X0)
      | ( ( c(X0) != X1
          | complement(X0,X1) )
        & ( ~ complement(X0,X1)
          | c(X0) = X1 ) ) ),
    inference(nnf_transformation,[],[f23]) ).

fof(f30,plain,
    ! [X0,X1] :
      ( ( ~ complement(X1,X0)
        | ( addition(X0,X1) = one
          & multiplication(X1,X0) = zero
          & multiplication(X0,X1) = zero ) )
      & ( addition(X0,X1) != one
        | zero != multiplication(X1,X0)
        | zero != multiplication(X0,X1)
        | complement(X1,X0) ) ),
    inference(nnf_transformation,[],[f14]) ).

fof(f31,plain,
    ! [X0,X1] :
      ( ( ~ complement(X1,X0)
        | ( addition(X0,X1) = one
          & multiplication(X1,X0) = zero
          & multiplication(X0,X1) = zero ) )
      & ( addition(X0,X1) != one
        | zero != multiplication(X1,X0)
        | zero != multiplication(X0,X1)
        | complement(X1,X0) ) ),
    inference(flattening,[],[f30]) ).

fof(f32,plain,
    test(sK2),
    inference(cnf_transformation,[],[f25]) ).

fof(f33,plain,
    test(sK1),
    inference(cnf_transformation,[],[f25]) ).

fof(f34,plain,
    test(sK0),
    inference(cnf_transformation,[],[f25]) ).

fof(f35,plain,
    ( ~ leq(multiplication(addition(sK0,sK1),addition(sK0,sK2)),addition(sK0,multiplication(sK1,sK2)))
    | ~ leq(addition(sK0,multiplication(sK1,sK2)),multiplication(addition(sK0,sK1),addition(sK0,sK2))) ),
    inference(cnf_transformation,[],[f25]) ).

fof(f36,plain,
    ! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
    inference(cnf_transformation,[],[f9]) ).

fof(f37,plain,
    ! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
    inference(cnf_transformation,[],[f8]) ).

fof(f38,plain,
    ! [X0] : addition(X0,X0) = X0,
    inference(cnf_transformation,[],[f4]) ).

fof(f39,plain,
    ! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
    inference(cnf_transformation,[],[f2]) ).

fof(f40,plain,
    ! [X0,X1] : addition(X0,X1) = addition(X1,X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f41,plain,
    ! [X0,X1] :
      ( addition(X0,X1) != X1
      | leq(X0,X1) ),
    inference(cnf_transformation,[],[f22]) ).

fof(f42,plain,
    ! [X0] :
      ( ~ test(X0)
      | complement(sK3(X0),X0) ),
    inference(cnf_transformation,[],[f28]) ).

fof(f45,plain,
    ! [X0,X1] :
      ( ~ test(X0)
      | c(X0) != X1
      | complement(X0,X1) ),
    inference(cnf_transformation,[],[f29]) ).

fof(f47,plain,
    ! [X0,X1] :
      ( ~ complement(X1,X0)
      | addition(X0,X1) = one ),
    inference(cnf_transformation,[],[f31]) ).

fof(f49,plain,
    ! [X0,X1] :
      ( ~ complement(X1,X0)
      | zero = multiplication(X0,X1) ),
    inference(cnf_transformation,[],[f31]) ).

fof(f54,plain,
    ! [X0] : addition(X0,zero) = X0,
    inference(cnf_transformation,[],[f3]) ).

fof(f55,plain,
    ! [X0] : multiplication(one,X0) = X0,
    inference(cnf_transformation,[],[f7]) ).

fof(f56,plain,
    ! [X0] : multiplication(X0,one) = X0,
    inference(cnf_transformation,[],[f6]) ).

fof(f57,plain,
    ! [X0] :
      ( ~ test(X0)
      | complement(X0,c(X0)) ),
    inference(equality_resolution,[],[f45]) ).

tcf(c_49,negated_conjecture,
    ( ~ leq(addition(sK0,multiplication(sK1,sK2)),multiplication(addition(sK0,sK1),addition(sK0,sK2)))
    | ~ leq(multiplication(addition(sK0,sK1),addition(sK0,sK2)),addition(sK0,multiplication(sK1,sK2))) ),
    inference(cnf_transformation,[],[f35]) ).

tcf(c_50,negated_conjecture,
    test(sK0),
    inference(cnf_transformation,[],[f34]) ).

tcf(c_51,negated_conjecture,
    test(sK1),
    inference(cnf_transformation,[],[f33]) ).

tcf(c_52,negated_conjecture,
    test(sK2),
    inference(cnf_transformation,[],[f32]) ).

tcf(c_53,plain,
    ! [X0: $i,X1: $i,X2: $i] : addition(multiplication(X0,X1),multiplication(X2,X1)) = multiplication(addition(X0,X2),X1),
    inference(cnf_transformation,[],[f36]) ).

tcf(c_54,plain,
    ! [X0: $i,X1: $i,X2: $i] : addition(multiplication(X0,X1),multiplication(X0,X2)) = multiplication(X0,addition(X1,X2)),
    inference(cnf_transformation,[],[f37]) ).

tcf(c_55,plain,
    ! [X0: $i] : addition(X0,X0) = X0,
    inference(cnf_transformation,[],[f38]) ).

tcf(c_56,plain,
    ! [X0: $i,X1: $i,X2: $i] : addition(addition(X0,X1),X2) = addition(X0,addition(X1,X2)),
    inference(cnf_transformation,[],[f39]) ).

tcf(c_57,plain,
    ! [X0: $i,X1: $i] : addition(X0,X1) = addition(X1,X0),
    inference(cnf_transformation,[],[f40]) ).

tcf(c_58,plain,
    ! [X0: $i,X1: $i] :
      ( leq(X0,X1)
      | ( addition(X0,X1) != X1 ) ),
    inference(cnf_transformation,[],[f41]) ).

tcf(c_60,plain,
    ! [X0: $i] :
      ( complement(sK3(X0),X0)
      | ~ test(X0) ),
    inference(cnf_transformation,[],[f42]) ).

tcf(c_63,plain,
    ! [X0: $i] :
      ( complement(X0,c(X0))
      | ~ test(X0) ),
    inference(cnf_transformation,[],[f57]) ).

tcf(c_65,plain,
    ! [X0: $i,X1: $i] :
      ( ( multiplication(X1,X0) = zero )
      | ~ complement(X0,X1) ),
    inference(cnf_transformation,[],[f49]) ).

tcf(c_67,plain,
    ! [X0: $i,X1: $i] :
      ( ( addition(X1,X0) = one )
      | ~ complement(X0,X1) ),
    inference(cnf_transformation,[],[f47]) ).

tcf(c_71,plain,
    ! [X0: $i] : addition(X0,zero) = X0,
    inference(cnf_transformation,[],[f54]) ).

tcf(c_72,plain,
    ! [X0: $i] : multiplication(one,X0) = X0,
    inference(cnf_transformation,[],[f55]) ).

tcf(c_73,plain,
    ! [X0: $i] : multiplication(X0,one) = X0,
    inference(cnf_transformation,[],[f56]) ).

tcf(c_764,plain,
    ! [X0: $i,X1: $i,X2: $i] : addition(X0,addition(X1,X2)) = addition(X1,addition(X0,X2)),
    inference(superposition,[status(thm)],[c_56,c_57]) ).

tcf(c_767,plain,
    ( ~ leq(addition(sK0,multiplication(sK1,sK2)),addition(multiplication(sK0,sK0),addition(multiplication(sK1,sK0),addition(multiplication(sK0,sK2),multiplication(sK1,sK2)))))
    | ~ leq(addition(multiplication(sK0,sK0),addition(multiplication(sK1,sK0),addition(multiplication(sK0,sK2),multiplication(sK1,sK2)))),addition(sK0,multiplication(sK1,sK2))) ),
    inference(demodulation,[status(thm)],[c_49,c_53,c_54,c_56,c_764]) ).

tcf(c_810,plain,
    ! [X0: $i] : addition(zero,X0) = X0,
    inference(superposition,[status(thm)],[c_57,c_71]) ).

tcf(c_822,plain,
    ! [X0: $i] : leq(X0,X0),
    inference(superposition,[status(thm)],[c_55,c_58]) ).

tcf(c_840,plain,
    ! [X0: $i] :
      ( ( multiplication(X0,sK3(X0)) = zero )
      | ~ test(X0) ),
    inference(superposition,[status(thm)],[c_60,c_65]) ).

tcf(c_860,plain,
    ! [X0: $i] :
      ( ( addition(X0,sK3(X0)) = one )
      | ~ test(X0) ),
    inference(superposition,[status(thm)],[c_60,c_67]) ).

tcf(c_861,plain,
    ! [X0: $i] :
      ( ( addition(c(X0),X0) = one )
      | ~ test(X0) ),
    inference(superposition,[status(thm)],[c_63,c_67]) ).

tcf(c_862,plain,
    ! [X0: $i] :
      ( ( addition(X0,c(X0)) = one )
      | ~ test(X0) ),
    inference(theory_normalisation,[status(thm)],[c_861,c_56,c_57]) ).

tcf(c_888,plain,
    ! [X0: $i,X1: $i] : addition(X0,addition(X0,X1)) = addition(X0,X1),
    inference(superposition,[status(thm)],[c_55,c_56]) ).

tcf(c_1034,plain,
    multiplication(sK0,sK3(sK0)) = zero,
    inference(superposition,[status(thm)],[c_50,c_840]) ).

tcf(c_1415,plain,
    addition(sK0,sK3(sK0)) = one,
    inference(superposition,[status(thm)],[c_50,c_860]) ).

tcf(c_1437,plain,
    ! [X0: $i] : addition(multiplication(X0,sK0),multiplication(X0,sK3(sK0))) = multiplication(X0,one),
    inference(superposition,[status(thm)],[c_1415,c_54]) ).

tcf(c_1442,plain,
    ! [X0: $i] : addition(multiplication(X0,sK0),multiplication(X0,sK3(sK0))) = X0,
    inference(light_normalisation,[status(thm)],[c_1437,c_73]) ).

tcf(c_1817,plain,
    addition(sK1,c(sK1)) = one,
    inference(superposition,[status(thm)],[c_51,c_862]) ).

tcf(c_1818,plain,
    addition(sK2,c(sK2)) = one,
    inference(superposition,[status(thm)],[c_52,c_862]) ).

tcf(c_2195,plain,
    addition(sK1,one) = one,
    inference(superposition,[status(thm)],[c_1817,c_888]) ).

tcf(c_2196,plain,
    addition(sK2,one) = one,
    inference(superposition,[status(thm)],[c_1818,c_888]) ).

tcf(c_2208,plain,
    addition(one,sK2) = one,
    inference(theory_normalisation,[status(thm)],[c_2196,c_56,c_57]) ).

tcf(c_2209,plain,
    addition(one,sK1) = one,
    inference(theory_normalisation,[status(thm)],[c_2195,c_56,c_57]) ).

tcf(c_2668,plain,
    ! [X0: $i] : addition(multiplication(X0,one),multiplication(X0,sK2)) = multiplication(X0,one),
    inference(superposition,[status(thm)],[c_2208,c_54]) ).

tcf(c_2674,plain,
    ! [X0: $i] : addition(X0,multiplication(X0,sK2)) = X0,
    inference(light_normalisation,[status(thm)],[c_2668,c_73]) ).

tcf(c_3158,plain,
    ! [X0: $i] : addition(multiplication(one,X0),multiplication(sK1,X0)) = multiplication(one,X0),
    inference(superposition,[status(thm)],[c_2209,c_53]) ).

tcf(c_3171,plain,
    ! [X0: $i] : addition(X0,multiplication(sK1,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_3158,c_72]) ).

tcf(c_4957,plain,
    ! [X0: $i,X1: $i] : addition(X0,addition(multiplication(X0,sK2),X1)) = addition(X0,X1),
    inference(superposition,[status(thm)],[c_2674,c_56]) ).

tcf(c_8738,plain,
    ! [X0: $i,X1: $i] : addition(X0,addition(multiplication(sK1,X0),X1)) = addition(X0,X1),
    inference(superposition,[status(thm)],[c_3171,c_56]) ).

tcf(c_46339,plain,
    addition(multiplication(sK0,sK0),zero) = sK0,
    inference(superposition,[status(thm)],[c_1034,c_1442]) ).

tcf(c_46401,plain,
    addition(zero,multiplication(sK0,sK0)) = sK0,
    inference(theory_normalisation,[status(thm)],[c_46339,c_56,c_57]) ).

tcf(c_56254,plain,
    multiplication(sK0,sK0) = sK0,
    inference(demodulation,[status(thm)],[c_46401,c_810]) ).

tcf(c_56262,plain,
    ( ~ leq(addition(sK0,multiplication(sK1,sK2)),addition(sK0,addition(multiplication(sK1,sK0),addition(multiplication(sK0,sK2),multiplication(sK1,sK2)))))
    | ~ leq(addition(sK0,addition(multiplication(sK1,sK0),addition(multiplication(sK0,sK2),multiplication(sK1,sK2)))),addition(sK0,multiplication(sK1,sK2))) ),
    inference(demodulation,[status(thm)],[c_767,c_56254]) ).

tcf(c_57028,plain,
    ~ leq(addition(sK0,multiplication(sK1,sK2)),addition(sK0,multiplication(sK1,sK2))),
    inference(demodulation,[status(thm)],[c_56262,c_4957,c_8738]) ).

tcf(c_57029,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_57028,c_822]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01  % Problem  : KLE020+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.02  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.03/0.30  % Computer : n012.cluster.edu
% 0.03/0.30  % Model    : x86_64 x86_64
% 0.03/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.30  % Memory   : 8046.5625MB
% 0.03/0.30  % OS       : Linux 6.8.0-71-generic
% 0.03/0.30  % CPULimit : 300
% 0.03/0.30  % WCLimit  : 300
% 0.03/0.30  % DateTime : Wed Sep 23 18:37:06 UTC 2026
% 0.03/0.30  % CPUTime  : 
% 0.03/0.30  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.03/0.32  Running first-order theorem proving
% 0.03/0.32  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
% 0.03/0.32  
% 0.03/0.32  % ======== iProver multi-core TPTP/SMT =========
% 0.03/0.32  
% 0.03/0.33  % Detected problem language: tptp
% 0.07/0.33  % Proving...
% 11.69/2.48  % SZS status Started for theBenchmark.p
% 11.69/2.48  % SZS status Theorem for theBenchmark.p
% 11.69/2.48  
% 11.69/2.48  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 11.69/2.48  
% 11.69/2.48  % ------  iProver source info
% 11.69/2.48  
% 11.69/2.48  % git: date: 2026-07-19 20:42:38 +0200
% 11.69/2.48  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 11.69/2.48  % git: non_committed_changes: false
% 11.69/2.48  
% 11.69/2.48  % ------ Parsing...
% 11.69/2.48  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 11.69/2.48  
% 11.69/2.48  % ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e % 
% 11.69/2.48  
% 11.69/2.48  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 11.69/2.48  
% 11.69/2.48  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 11.69/2.48  % ------ Proving...
% 11.69/2.48  % ------ Problem Properties 
% 11.69/2.48  
% 11.69/2.48  % 
% 11.69/2.48  % clauses                               25
% 11.69/2.48  % conjectures                           4
% 11.69/2.48  % EPR                                   4
% 11.69/2.48  % Horn                                  24
% 11.69/2.48  % unary                                 14
% 11.69/2.48  % binary                                9
% 11.69/2.48  % lits                                  39
% 11.69/2.48  % lits eq                               20
% 11.69/2.48  % fd_pure                               0
% 11.69/2.48  % fd_pseudo                             0
% 11.69/2.48  % fd_cond                               0
% 11.69/2.48  % fd_pseudo_cond                        1
% 11.69/2.48  % AC symbols                            1
% 11.69/2.48  
% 11.69/2.48  % ------ Schedule dynamic 5 is on 
% 11.69/2.48  
% 11.69/2.48  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 11.69/2.48  
% 11.69/2.48  
% 11.69/2.48  % ------ 
% 11.69/2.48  % Current options:
% 11.69/2.48  % ------ 
% 11.69/2.48  
% 11.69/2.48  
% 11.69/2.48  % 
% 11.69/2.48  
% 11.69/2.48  % ------ Proving...
% 11.69/2.48  % 
% 11.69/2.48  
% 11.69/2.48  % SZS status Theorem for theBenchmark.p
% 11.69/2.48  
% 11.69/2.48  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 11.69/2.48  
% 11.69/2.48  
%------------------------------------------------------------------------------