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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SET889+1 : TPTP v9.3.1. Bugfixed v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM

% Computer : n010.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 02:48:53 PM UTC 2026

% Result   : Theorem 4.24s 1.54s
% Output   : CNFRefutation 4.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   81 (  31 unt;   3 def)
%            Number of atoms       :  335 ( 123 equ)
%            Maximal formula atoms :   14 (   4 avg)
%            Number of connectives :  264 (  97   ~; 124   |;  35   &)
%                                         (   6 <=>;   1  =>;   0  <=;   1 <~>)
%            Maximal formula depth :   11 (   5 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  :    7 (   5 usr;   4 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   2 con; 0-3 aty)
%            Number of variables   :  136 (   1 sgn 128   !;   8   ?;  27   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f2,axiom,
    ! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k2_tarski) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( X1 = powerset(X0)
    <=> ! [X2] :
          ( in(X2,X1)
        <=> subset(X2,X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_zfmisc_1) ).

fof(f4,axiom,
    ! [X0,X1,X2] :
      ( X2 = unordered_pair(X0,X1)
    <=> ! [X3] :
          ( in(X3,X2)
        <=> ( X3 = X1
            | X3 = X0 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_tarski) ).

fof(f6,axiom,
    ! [X0,X1] :
      ( subset(X0,singleton(X1))
    <=> ( X0 = singleton(X1)
        | X0 = empty_set ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l4_zfmisc_1) ).

fof(f9,axiom,
    ! [X0,X1] : subset(X0,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).

fof(f10,axiom,
    ! [X0,X1] :
      ( ! [X2] :
          ( in(X2,X0)
        <=> in(X2,X1) )
     => X0 = X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_tarski) ).

fof(f11,conjecture,
    ! [X0] : powerset(singleton(X0)) = unordered_pair(empty_set,singleton(X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t30_zfmisc_1) ).

fof(f12,negated_conjecture,
    ~ ! [X0] : powerset(singleton(X0)) = unordered_pair(empty_set,singleton(X0)),
    inference(negated_conjecture,[status(cth)],[f11]) ).

fof(f13,plain,
    ! [X0] : subset(X0,X0),
    inference(rectify,[],[f9]) ).

fof(f15,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( in(X2,X0)
        <~> in(X2,X1) )
      | X0 = X1 ),
    inference(ennf_transformation,[],[f10]) ).

fof(f16,plain,
    ? [X0] : powerset(singleton(X0)) != unordered_pair(empty_set,singleton(X0)),
    inference(ennf_transformation,[],[f12]) ).

fof(f17,plain,
    ! [X0,X1] :
      ( ( powerset(X0) != X1
        | ! [X2] :
            ( ( ~ in(X2,X1)
              | subset(X2,X0) )
            & ( ~ subset(X2,X0)
              | in(X2,X1) ) ) )
      & ( ? [X2] :
            ( ( in(X2,X1)
              | subset(X2,X0) )
            & ( ~ in(X2,X1)
              | ~ subset(X2,X0) ) )
        | X1 = powerset(X0) ) ),
    inference(nnf_transformation,[],[f3]) ).

fof(f18,plain,
    ! [X0,X1] :
      ( ( powerset(X0) != X1
        | ! [X3] :
            ( ( ~ in(X3,X1)
              | subset(X3,X0) )
            & ( ~ subset(X3,X0)
              | in(X3,X1) ) ) )
      & ( ? [X2] :
            ( ( in(X2,X1)
              | subset(X2,X0) )
            & ( ~ in(X2,X1)
              | ~ subset(X2,X0) ) )
        | X1 = powerset(X0) ) ),
    inference(rectify,[],[f17]) ).

fof(f19,plain,
    ! [X0,X1] :
      ( ( powerset(X0) != X1
        | ! [X3] :
            ( ( ~ in(X3,X1)
              | subset(X3,X0) )
            & ( ~ subset(X3,X0)
              | in(X3,X1) ) ) )
      & ( ( ( in(sK0(X0,X1),X1)
            | subset(sK0(X0,X1),X0) )
          & ( ~ in(sK0(X0,X1),X1)
            | ~ subset(sK0(X0,X1),X0) ) )
        | X1 = powerset(X0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0,X1))],[f18]) ).

fof(f20,plain,
    ! [X0,X1,X2] :
      ( ( unordered_pair(X0,X1) != X2
        | ! [X3] :
            ( ( ~ in(X3,X2)
              | X3 = X1
              | X3 = X0 )
            & ( ( X1 != X3
                & X0 != X3 )
              | in(X3,X2) ) ) )
      & ( ? [X3] :
            ( ( in(X3,X2)
              | X3 = X1
              | X3 = X0 )
            & ( ~ in(X3,X2)
              | ( X1 != X3
                & X0 != X3 ) ) )
        | X2 = unordered_pair(X0,X1) ) ),
    inference(nnf_transformation,[],[f4]) ).

fof(f21,plain,
    ! [X0,X1,X2] :
      ( ( unordered_pair(X0,X1) != X2
        | ! [X3] :
            ( ( ~ in(X3,X2)
              | X3 = X1
              | X3 = X0 )
            & ( ( X1 != X3
                & X0 != X3 )
              | in(X3,X2) ) ) )
      & ( ? [X3] :
            ( ( in(X3,X2)
              | X3 = X1
              | X3 = X0 )
            & ( ~ in(X3,X2)
              | ( X1 != X3
                & X0 != X3 ) ) )
        | X2 = unordered_pair(X0,X1) ) ),
    inference(flattening,[],[f20]) ).

fof(f22,plain,
    ! [X0,X1,X2] :
      ( ( unordered_pair(X0,X1) != X2
        | ! [X4] :
            ( ( ~ in(X4,X2)
              | X1 = X4
              | X0 = X4 )
            & ( ( X1 != X4
                & X0 != X4 )
              | in(X4,X2) ) ) )
      & ( ? [X3] :
            ( ( in(X3,X2)
              | X3 = X1
              | X3 = X0 )
            & ( ~ in(X3,X2)
              | ( X1 != X3
                & X0 != X3 ) ) )
        | X2 = unordered_pair(X0,X1) ) ),
    inference(rectify,[],[f21]) ).

fof(f23,plain,
    ! [X0,X1,X2] :
      ( ( unordered_pair(X0,X1) != X2
        | ! [X4] :
            ( ( ~ in(X4,X2)
              | X1 = X4
              | X0 = X4 )
            & ( ( X1 != X4
                & X0 != X4 )
              | in(X4,X2) ) ) )
      & ( ( ( in(sK1(X0,X1,X2),X2)
            | sK1(X0,X1,X2) = X1
            | sK1(X0,X1,X2) = X0 )
          & ( ~ in(sK1(X0,X1,X2),X2)
            | ( sK1(X0,X1,X2) != X1
              & sK1(X0,X1,X2) != X0 ) ) )
        | X2 = unordered_pair(X0,X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X3,sK1(X0,X1,X2))],[f22]) ).

fof(f24,plain,
    ! [X0,X1] :
      ( ( ~ subset(X0,singleton(X1))
        | X0 = singleton(X1)
        | X0 = empty_set )
      & ( ( singleton(X1) != X0
          & empty_set != X0 )
        | subset(X0,singleton(X1)) ) ),
    inference(nnf_transformation,[],[f6]) ).

fof(f25,plain,
    ! [X0,X1] :
      ( ( ~ subset(X0,singleton(X1))
        | X0 = singleton(X1)
        | X0 = empty_set )
      & ( ( singleton(X1) != X0
          & empty_set != X0 )
        | subset(X0,singleton(X1)) ) ),
    inference(flattening,[],[f24]) ).

fof(f28,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ( in(X2,X0)
            | in(X2,X1) )
          & ( ~ in(X2,X0)
            | ~ in(X2,X1) ) )
      | X0 = X1 ),
    inference(nnf_transformation,[],[f15]) ).

fof(f29,plain,
    ! [X0,X1] :
      ( ( ( in(sK4(X0,X1),X0)
          | in(sK4(X0,X1),X1) )
        & ( ~ in(sK4(X0,X1),X0)
          | ~ in(sK4(X0,X1),X1) ) )
      | X0 = X1 ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X2,sK4(X0,X1))],[f28]) ).

fof(f30,plain,
    powerset(singleton(sK5)) != unordered_pair(empty_set,singleton(sK5)),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X0,sK5)],[f16]) ).

fof(f32,plain,
    ! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
    inference(cnf_transformation,[],[f2]) ).

fof(f33,plain,
    ! [X3,X0,X1] :
      ( powerset(X0) != X1
      | ~ in(X3,X1)
      | subset(X3,X0) ),
    inference(cnf_transformation,[],[f19]) ).

fof(f34,plain,
    ! [X3,X0,X1] :
      ( powerset(X0) != X1
      | ~ subset(X3,X0)
      | in(X3,X1) ),
    inference(cnf_transformation,[],[f19]) ).

fof(f37,plain,
    ! [X2,X0,X1,X4] :
      ( unordered_pair(X0,X1) != X2
      | ~ in(X4,X2)
      | X1 = X4
      | X0 = X4 ),
    inference(cnf_transformation,[],[f23]) ).

fof(f38,plain,
    ! [X2,X0,X1,X4] :
      ( unordered_pair(X0,X1) != X2
      | X1 != X4
      | in(X4,X2) ),
    inference(cnf_transformation,[],[f23]) ).

fof(f39,plain,
    ! [X2,X0,X1,X4] :
      ( unordered_pair(X0,X1) != X2
      | X0 != X4
      | in(X4,X2) ),
    inference(cnf_transformation,[],[f23]) ).

fof(f44,plain,
    ! [X0,X1] :
      ( ~ subset(X0,singleton(X1))
      | singleton(X1) = X0
      | empty_set = X0 ),
    inference(cnf_transformation,[],[f25]) ).

fof(f46,plain,
    ! [X0,X1] :
      ( empty_set != X0
      | subset(X0,singleton(X1)) ),
    inference(cnf_transformation,[],[f25]) ).

fof(f49,plain,
    ! [X0] : subset(X0,X0),
    inference(cnf_transformation,[],[f13]) ).

fof(f50,plain,
    ! [X0,X1] :
      ( in(sK4(X0,X1),X0)
      | in(sK4(X0,X1),X1)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f29]) ).

fof(f51,plain,
    ! [X0,X1] :
      ( ~ in(sK4(X0,X1),X0)
      | ~ in(sK4(X0,X1),X1)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f29]) ).

fof(f52,plain,
    powerset(singleton(sK5)) != unordered_pair(empty_set,singleton(sK5)),
    inference(cnf_transformation,[],[f30]) ).

fof(f53,plain,
    ! [X3,X0] :
      ( ~ subset(X3,X0)
      | in(X3,powerset(X0)) ),
    inference(equality_resolution,[],[f34]) ).

fof(f54,plain,
    ! [X3,X0] :
      ( ~ in(X3,powerset(X0))
      | subset(X3,X0) ),
    inference(equality_resolution,[],[f33]) ).

fof(f55,plain,
    ! [X2,X1,X4] :
      ( unordered_pair(X4,X1) != X2
      | in(X4,X2) ),
    inference(equality_resolution,[],[f39]) ).

fof(f56,plain,
    ! [X1,X4] : in(X4,unordered_pair(X4,X1)),
    inference(equality_resolution,[],[f55]) ).

fof(f57,plain,
    ! [X2,X0,X4] :
      ( unordered_pair(X0,X4) != X2
      | in(X4,X2) ),
    inference(equality_resolution,[],[f38]) ).

fof(f58,plain,
    ! [X0,X4] : in(X4,unordered_pair(X0,X4)),
    inference(equality_resolution,[],[f57]) ).

fof(f59,plain,
    ! [X0,X1,X4] :
      ( ~ in(X4,unordered_pair(X0,X1))
      | X1 = X4
      | X0 = X4 ),
    inference(equality_resolution,[],[f37]) ).

fof(f60,plain,
    ! [X1] : subset(empty_set,singleton(X1)),
    inference(equality_resolution,[],[f46]) ).

tcf(c_50,plain,
    ! [X0: $i,X1: $i] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
    inference(cnf_transformation,[],[f32]) ).

tcf(c_53,plain,
    ! [X0: $i,X1: $i] :
      ( in(X0,powerset(X1))
      | ~ subset(X0,X1) ),
    inference(cnf_transformation,[],[f53]) ).

tcf(c_54,plain,
    ! [X0: $i,X1: $i] :
      ( subset(X0,X1)
      | ~ in(X0,powerset(X1)) ),
    inference(cnf_transformation,[],[f54]) ).

tcf(c_58,plain,
    ! [X0: $i,X1: $i] : in(X0,unordered_pair(X0,X1)),
    inference(cnf_transformation,[],[f56]) ).

tcf(c_59,plain,
    ! [X0: $i,X1: $i] : in(X0,unordered_pair(X1,X0)),
    inference(cnf_transformation,[],[f58]) ).

tcf(c_60,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X0 = X2 )
      | ( X0 = X1 )
      | ~ in(X0,unordered_pair(X1,X2)) ),
    inference(cnf_transformation,[],[f59]) ).

tcf(c_62,plain,
    ! [X0: $i] : subset(empty_set,singleton(X0)),
    inference(cnf_transformation,[],[f60]) ).

tcf(c_64,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = empty_set )
      | ( singleton(X1) = X0 )
      | ~ subset(X0,singleton(X1)) ),
    inference(cnf_transformation,[],[f44]) ).

tcf(c_67,plain,
    ! [X0: $i] : subset(X0,X0),
    inference(cnf_transformation,[],[f49]) ).

tcf(c_68,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = X1 )
      | ~ in(sK4(X0,X1),X1)
      | ~ in(sK4(X0,X1),X0) ),
    inference(cnf_transformation,[],[f51]) ).

tcf(c_69,plain,
    ! [X0: $i,X1: $i] :
      ( in(sK4(X0,X1),X1)
      | in(sK4(X0,X1),X0)
      | ( X0 = X1 ) ),
    inference(cnf_transformation,[],[f50]) ).

tcf(c_70,negated_conjecture,
    unordered_pair(empty_set,singleton(sK5)) != powerset(singleton(sK5)),
    inference(cnf_transformation,[],[f52]) ).

tcf(c_787,definition,
    iPr_def_10 = singleton(sK5),
    introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).

tcf(c_788,definition,
    iPr_def_11 = unordered_pair(empty_set,iPr_def_10),
    introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).

tcf(c_789,definition,
    iPr_def_12 = powerset(iPr_def_10),
    introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).

tcf(c_790,negated_conjecture,
    iPr_def_11 != iPr_def_12,
    inference(demodulation,[status(thm)],[c_70,c_789,c_787,c_788]) ).

tcf(c_1223,plain,
    subset(empty_set,iPr_def_10),
    inference(superposition,[status(thm)],[c_787,c_62]) ).

tcf(c_1224,plain,
    unordered_pair(iPr_def_10,empty_set) = iPr_def_11,
    inference(demodulation,[status(thm)],[c_788,c_50]) ).

tcf(c_1225,plain,
    in(empty_set,iPr_def_11),
    inference(superposition,[status(thm)],[c_1224,c_59]) ).

tcf(c_1226,plain,
    in(iPr_def_10,iPr_def_11),
    inference(superposition,[status(thm)],[c_1224,c_58]) ).

tcf(c_1248,plain,
    ! [X0: $i] :
      ( in(X0,iPr_def_12)
      | ~ subset(X0,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_789,c_53]) ).

tcf(c_1264,plain,
    in(iPr_def_10,iPr_def_12),
    inference(superposition,[status(thm)],[c_67,c_1248]) ).

tcf(c_1265,plain,
    in(empty_set,iPr_def_12),
    inference(superposition,[status(thm)],[c_1223,c_1248]) ).

tcf(c_1284,plain,
    ! [X0: $i] :
      ( subset(X0,iPr_def_10)
      | ~ in(X0,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_789,c_54]) ).

tcf(c_1297,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_10 )
      | ( X0 = empty_set )
      | ~ in(X0,iPr_def_11) ),
    inference(superposition,[status(thm)],[c_1224,c_60]) ).

tcf(c_1309,plain,
    ! [X0: $i] :
      ( ( X0 = empty_set )
      | ( singleton(sK5) = X0 )
      | ~ subset(X0,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_787,c_64]) ).

tcf(c_1310,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_10 )
      | ( X0 = empty_set )
      | ~ subset(X0,iPr_def_10) ),
    inference(light_normalisation,[status(thm)],[c_1309,c_787]) ).

tcf(c_1368,plain,
    ! [X0: $i] :
      ( subset(sK4(X0,iPr_def_12),iPr_def_10)
      | in(sK4(X0,iPr_def_12),X0)
      | ( X0 = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_69,c_1284]) ).

tcf(c_1613,plain,
    ( subset(sK4(iPr_def_11,iPr_def_12),iPr_def_10)
    | ( iPr_def_11 = iPr_def_12 )
    | ( sK4(iPr_def_11,iPr_def_12) = iPr_def_10 )
    | ( sK4(iPr_def_11,iPr_def_12) = empty_set ) ),
    inference(superposition,[status(thm)],[c_1368,c_1297]) ).

tcf(c_1626,plain,
    ( subset(sK4(iPr_def_11,iPr_def_12),iPr_def_10)
    | ( sK4(iPr_def_11,iPr_def_12) = iPr_def_10 )
    | ( sK4(iPr_def_11,iPr_def_12) = empty_set ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_1613,c_790]) ).

tcf(c_1647,plain,
    ( ( sK4(iPr_def_11,iPr_def_12) = iPr_def_10 )
    | ( sK4(iPr_def_11,iPr_def_12) = empty_set ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_1626,c_1310]) ).

tcf(c_1654,plain,
    ( ( iPr_def_11 = iPr_def_12 )
    | ( sK4(iPr_def_11,iPr_def_12) = iPr_def_10 )
    | ~ in(empty_set,iPr_def_12)
    | ~ in(sK4(iPr_def_11,iPr_def_12),iPr_def_11) ),
    inference(superposition,[status(thm)],[c_1647,c_68]) ).

tcf(c_1659,plain,
    ( ( sK4(iPr_def_11,iPr_def_12) = iPr_def_10 )
    | ~ in(sK4(iPr_def_11,iPr_def_12),iPr_def_11) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_1654,c_790,c_1265]) ).

tcf(c_1668,plain,
    ( ( sK4(iPr_def_11,iPr_def_12) = iPr_def_10 )
    | ~ in(empty_set,iPr_def_11) ),
    inference(superposition,[status(thm)],[c_1647,c_1659]) ).

tcf(c_1669,plain,
    sK4(iPr_def_11,iPr_def_12) = iPr_def_10,
    inference(forward_subsumption_resolution,[status(thm)],[c_1668,c_1225]) ).

tcf(c_1670,plain,
    ( ( iPr_def_11 = iPr_def_12 )
    | ~ in(iPr_def_10,iPr_def_12)
    | ~ in(sK4(iPr_def_11,iPr_def_12),iPr_def_11) ),
    inference(superposition,[status(thm)],[c_1669,c_68]) ).

tcf(c_1676,plain,
    ( ( iPr_def_11 = iPr_def_12 )
    | ~ in(iPr_def_10,iPr_def_12)
    | ~ in(iPr_def_10,iPr_def_11) ),
    inference(light_normalisation,[status(thm)],[c_1670,c_1669]) ).

tcf(c_1677,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_1676,c_790,c_1264,c_1226]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SET889+1 : TPTP v9.3.1. Bugfixed v4.0.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.58  % Computer : n010.cluster.edu
% 0.12/0.58  % Model    : x86_64 x86_64
% 0.12/0.58  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.58  % Memory   : 8046.5625MB
% 0.12/0.58  % OS       : Linux 6.8.0-71-generic
% 0.12/0.58  % CPULimit : 300
% 0.12/0.58  % WCLimit  : 300
% 0.12/0.58  % DateTime : Thu Sep 24 12:20:31 UTC 2026
% 0.12/0.58  % CPUTime  : 
% 0.12/0.58  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.62  Running first-order theorem proving
% 0.12/0.62  Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.64  
% 0.16/0.64  % ======== iProver multi-core TPTP/SMT =========
% 0.16/0.64  
% 0.16/0.64  % Detected problem language: tptp
% 0.16/0.65  % Proving...
% 4.24/1.54  % SZS status Started for theBenchmark.p
% 4.24/1.54  % SZS status Theorem for theBenchmark.p
% 4.24/1.54  
% 4.24/1.54  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.24/1.54  
% 4.24/1.54  % ------  iProver source info
% 4.24/1.54  
% 4.24/1.54  % git: date: 2026-07-19 20:42:38 +0200
% 4.24/1.54  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.24/1.54  % git: non_committed_changes: false
% 4.24/1.54  
% 4.24/1.54  % ------ Parsing...
% 4.24/1.54  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 4.24/1.54  
% 4.24/1.54  % ------ Preprocessing... sup_sim: 0  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 % 
% 4.24/1.54  
% 4.24/1.54  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 4.24/1.54  
% 4.24/1.54  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 4.24/1.54  % ------ Proving...
% 4.24/1.54  % ------ Problem Properties 
% 4.24/1.54  
% 4.24/1.54  % 
% 4.24/1.54  % clauses                               24
% 4.24/1.54  % conjectures                           1
% 4.24/1.54  % EPR                                   6
% 4.24/1.54  % Horn                                  19
% 4.24/1.54  % unary                                 12
% 4.24/1.54  % binary                                3
% 4.24/1.54  % lits                                  46
% 4.24/1.54  % lits eq                               20
% 4.24/1.54  % fd_pure                               0
% 4.24/1.54  % fd_pseudo                             0
% 4.24/1.54  % fd_cond                               0
% 4.24/1.54  % fd_pseudo_cond                        8
% 4.24/1.54  % AC symbols                            0
% 4.24/1.54  
% 4.24/1.54  % ------ Schedule dynamic 5 is on 
% 4.24/1.54  
% 4.24/1.54  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.24/1.54  
% 4.24/1.54  
% 4.24/1.54  % ------ 
% 4.24/1.54  % Current options:
% 4.24/1.54  % ------ 
% 4.24/1.54  
% 4.24/1.54  
% 4.24/1.54  % 
% 4.24/1.54  
% 4.24/1.54  % ------ Proving...
% 4.24/1.54  % 
% 4.24/1.54  
% 4.24/1.54  % SZS status Theorem for theBenchmark.p
% 4.24/1.54  
% 4.24/1.54  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.24/1.54  
% 4.24/1.54  
%------------------------------------------------------------------------------