TSTP Solution File: LAT291+1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : LAT291+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n032.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri May  3 02:35:05 EDT 2024

% Result   : Theorem 4.10s 1.16s
% Output   : CNFRefutation 4.10s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ! [X0] :
      ( ( l3_lattices(X0)
        & ~ v3_realset2(X0)
        & v17_lattices(X0)
        & v10_lattices(X0)
        & ~ v3_struct_0(X0) )
     => k7_lopclset(X0) = k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),k6_lattices(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t37_lopclset) ).

fof(f2,negated_conjecture,
    ~ ! [X0] :
        ( ( l3_lattices(X0)
          & ~ v3_realset2(X0)
          & v17_lattices(X0)
          & v10_lattices(X0)
          & ~ v3_struct_0(X0) )
       => k7_lopclset(X0) = k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),k6_lattices(X0)) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f40,axiom,
    ! [X0] :
      ( ( l1_lattices(X0)
        & ~ v3_struct_0(X0) )
     => m1_subset_1(k5_lattices(X0),u1_struct_0(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_lattices) ).

fof(f50,axiom,
    ! [X0] :
      ( l3_lattices(X0)
     => ( l2_lattices(X0)
        & l1_lattices(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l3_lattices) ).

fof(f90,axiom,
    ! [X0] :
      ( ( l3_lattices(X0)
        & ~ v3_realset2(X0)
        & v17_lattices(X0)
        & v10_lattices(X0)
        & ~ v3_struct_0(X0) )
     => ! [X1] :
          ( m1_subset_1(X1,u1_struct_0(X0))
         => k4_xboole_0(k7_lopclset(X0),k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),X1)) = k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),k7_lattices(X0,X1)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t28_lopclset) ).

fof(f93,axiom,
    ! [X0] :
      ( ( l3_lattices(X0)
        & ~ v3_realset2(X0)
        & v17_lattices(X0)
        & v10_lattices(X0)
        & ~ v3_struct_0(X0) )
     => k1_xboole_0 = k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),k5_lattices(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t36_lopclset) ).

fof(f94,axiom,
    ! [X0] :
      ( ( l3_lattices(X0)
        & v17_lattices(X0)
        & v10_lattices(X0)
        & ~ v3_struct_0(X0) )
     => k6_lattices(X0) = k7_lattices(X0,k5_lattices(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t37_lattice4) ).

fof(f95,axiom,
    ! [X0] : k4_xboole_0(X0,k1_xboole_0) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_boole) ).

fof(f126,plain,
    ? [X0] :
      ( k7_lopclset(X0) != k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),k6_lattices(X0))
      & l3_lattices(X0)
      & ~ v3_realset2(X0)
      & v17_lattices(X0)
      & v10_lattices(X0)
      & ~ v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f127,plain,
    ? [X0] :
      ( k7_lopclset(X0) != k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),k6_lattices(X0))
      & l3_lattices(X0)
      & ~ v3_realset2(X0)
      & v17_lattices(X0)
      & v10_lattices(X0)
      & ~ v3_struct_0(X0) ),
    inference(flattening,[],[f126]) ).

fof(f166,plain,
    ! [X0] :
      ( m1_subset_1(k5_lattices(X0),u1_struct_0(X0))
      | ~ l1_lattices(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f40]) ).

fof(f167,plain,
    ! [X0] :
      ( m1_subset_1(k5_lattices(X0),u1_struct_0(X0))
      | ~ l1_lattices(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f166]) ).

fof(f182,plain,
    ! [X0] :
      ( ( l2_lattices(X0)
        & l1_lattices(X0) )
      | ~ l3_lattices(X0) ),
    inference(ennf_transformation,[],[f50]) ).

fof(f211,plain,
    ! [X0] :
      ( ! [X1] :
          ( k4_xboole_0(k7_lopclset(X0),k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),X1)) = k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),k7_lattices(X0,X1))
          | ~ m1_subset_1(X1,u1_struct_0(X0)) )
      | ~ l3_lattices(X0)
      | v3_realset2(X0)
      | ~ v17_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f90]) ).

fof(f212,plain,
    ! [X0] :
      ( ! [X1] :
          ( k4_xboole_0(k7_lopclset(X0),k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),X1)) = k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),k7_lattices(X0,X1))
          | ~ m1_subset_1(X1,u1_struct_0(X0)) )
      | ~ l3_lattices(X0)
      | v3_realset2(X0)
      | ~ v17_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f211]) ).

fof(f216,plain,
    ! [X0] :
      ( k1_xboole_0 = k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),k5_lattices(X0))
      | ~ l3_lattices(X0)
      | v3_realset2(X0)
      | ~ v17_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f93]) ).

fof(f217,plain,
    ! [X0] :
      ( k1_xboole_0 = k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),k5_lattices(X0))
      | ~ l3_lattices(X0)
      | v3_realset2(X0)
      | ~ v17_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f216]) ).

fof(f218,plain,
    ! [X0] :
      ( k6_lattices(X0) = k7_lattices(X0,k5_lattices(X0))
      | ~ l3_lattices(X0)
      | ~ v17_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f94]) ).

fof(f219,plain,
    ! [X0] :
      ( k6_lattices(X0) = k7_lattices(X0,k5_lattices(X0))
      | ~ l3_lattices(X0)
      | ~ v17_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f218]) ).

fof(f227,plain,
    ( ? [X0] :
        ( k7_lopclset(X0) != k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),k6_lattices(X0))
        & l3_lattices(X0)
        & ~ v3_realset2(X0)
        & v17_lattices(X0)
        & v10_lattices(X0)
        & ~ v3_struct_0(X0) )
   => ( k7_lopclset(sK0) != k8_funct_2(u1_struct_0(sK0),k1_zfmisc_1(k7_lopclset(sK0)),k9_lopclset(sK0),k6_lattices(sK0))
      & l3_lattices(sK0)
      & ~ v3_realset2(sK0)
      & v17_lattices(sK0)
      & v10_lattices(sK0)
      & ~ v3_struct_0(sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f228,plain,
    ( k7_lopclset(sK0) != k8_funct_2(u1_struct_0(sK0),k1_zfmisc_1(k7_lopclset(sK0)),k9_lopclset(sK0),k6_lattices(sK0))
    & l3_lattices(sK0)
    & ~ v3_realset2(sK0)
    & v17_lattices(sK0)
    & v10_lattices(sK0)
    & ~ v3_struct_0(sK0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f127,f227]) ).

fof(f271,plain,
    ~ v3_struct_0(sK0),
    inference(cnf_transformation,[],[f228]) ).

fof(f272,plain,
    v10_lattices(sK0),
    inference(cnf_transformation,[],[f228]) ).

fof(f273,plain,
    v17_lattices(sK0),
    inference(cnf_transformation,[],[f228]) ).

fof(f274,plain,
    ~ v3_realset2(sK0),
    inference(cnf_transformation,[],[f228]) ).

fof(f275,plain,
    l3_lattices(sK0),
    inference(cnf_transformation,[],[f228]) ).

fof(f276,plain,
    k7_lopclset(sK0) != k8_funct_2(u1_struct_0(sK0),k1_zfmisc_1(k7_lopclset(sK0)),k9_lopclset(sK0),k6_lattices(sK0)),
    inference(cnf_transformation,[],[f228]) ).

fof(f347,plain,
    ! [X0] :
      ( m1_subset_1(k5_lattices(X0),u1_struct_0(X0))
      | ~ l1_lattices(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f167]) ).

fof(f358,plain,
    ! [X0] :
      ( l1_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(cnf_transformation,[],[f182]) ).

fof(f449,plain,
    ! [X0,X1] :
      ( k4_xboole_0(k7_lopclset(X0),k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),X1)) = k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),k7_lattices(X0,X1))
      | ~ m1_subset_1(X1,u1_struct_0(X0))
      | ~ l3_lattices(X0)
      | v3_realset2(X0)
      | ~ v17_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f212]) ).

fof(f453,plain,
    ! [X0] :
      ( k1_xboole_0 = k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),k5_lattices(X0))
      | ~ l3_lattices(X0)
      | v3_realset2(X0)
      | ~ v17_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f217]) ).

fof(f454,plain,
    ! [X0] :
      ( k6_lattices(X0) = k7_lattices(X0,k5_lattices(X0))
      | ~ l3_lattices(X0)
      | ~ v17_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f219]) ).

fof(f455,plain,
    ! [X0] : k4_xboole_0(X0,k1_xboole_0) = X0,
    inference(cnf_transformation,[],[f95]) ).

cnf(c_49,negated_conjecture,
    k8_funct_2(u1_struct_0(sK0),k1_zfmisc_1(k7_lopclset(sK0)),k9_lopclset(sK0),k6_lattices(sK0)) != k7_lopclset(sK0),
    inference(cnf_transformation,[],[f276]) ).

cnf(c_50,negated_conjecture,
    l3_lattices(sK0),
    inference(cnf_transformation,[],[f275]) ).

cnf(c_51,negated_conjecture,
    ~ v3_realset2(sK0),
    inference(cnf_transformation,[],[f274]) ).

cnf(c_52,negated_conjecture,
    v17_lattices(sK0),
    inference(cnf_transformation,[],[f273]) ).

cnf(c_53,negated_conjecture,
    v10_lattices(sK0),
    inference(cnf_transformation,[],[f272]) ).

cnf(c_54,negated_conjecture,
    ~ v3_struct_0(sK0),
    inference(cnf_transformation,[],[f271]) ).

cnf(c_112,plain,
    ( ~ l1_lattices(X0)
    | m1_subset_1(k5_lattices(X0),u1_struct_0(X0))
    | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f347]) ).

cnf(c_124,plain,
    ( ~ l3_lattices(X0)
    | l1_lattices(X0) ),
    inference(cnf_transformation,[],[f358]) ).

cnf(c_214,plain,
    ( ~ m1_subset_1(X0,u1_struct_0(X1))
    | ~ l3_lattices(X1)
    | ~ v17_lattices(X1)
    | ~ v10_lattices(X1)
    | k4_xboole_0(k7_lopclset(X1),k8_funct_2(u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)),k9_lopclset(X1),X0)) = k8_funct_2(u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)),k9_lopclset(X1),k7_lattices(X1,X0))
    | v3_realset2(X1)
    | v3_struct_0(X1) ),
    inference(cnf_transformation,[],[f449]) ).

cnf(c_218,plain,
    ( ~ l3_lattices(X0)
    | ~ v17_lattices(X0)
    | ~ v10_lattices(X0)
    | k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),k5_lattices(X0)) = k1_xboole_0
    | v3_realset2(X0)
    | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f453]) ).

cnf(c_219,plain,
    ( ~ l3_lattices(X0)
    | ~ v17_lattices(X0)
    | ~ v10_lattices(X0)
    | k7_lattices(X0,k5_lattices(X0)) = k6_lattices(X0)
    | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f454]) ).

cnf(c_220,plain,
    k4_xboole_0(X0,k1_xboole_0) = X0,
    inference(cnf_transformation,[],[f455]) ).

cnf(c_429,plain,
    ( ~ l3_lattices(X0)
    | l1_lattices(X0) ),
    inference(prop_impl_just,[status(thm)],[c_124]) ).

cnf(c_2494,plain,
    ( X0 != X1
    | ~ l3_lattices(X0)
    | m1_subset_1(k5_lattices(X1),u1_struct_0(X1))
    | v3_struct_0(X1) ),
    inference(resolution_lifted,[status(thm)],[c_429,c_112]) ).

cnf(c_2495,plain,
    ( ~ l3_lattices(X0)
    | m1_subset_1(k5_lattices(X0),u1_struct_0(X0))
    | v3_struct_0(X0) ),
    inference(unflattening,[status(thm)],[c_2494]) ).

cnf(c_3116,plain,
    ( X0 != sK0
    | ~ m1_subset_1(X1,u1_struct_0(X0))
    | ~ l3_lattices(X0)
    | ~ v17_lattices(X0)
    | ~ v10_lattices(X0)
    | k4_xboole_0(k7_lopclset(X0),k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),X1)) = k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),k7_lattices(X0,X1))
    | v3_struct_0(X0) ),
    inference(resolution_lifted,[status(thm)],[c_51,c_214]) ).

cnf(c_3117,plain,
    ( ~ m1_subset_1(X0,u1_struct_0(sK0))
    | ~ l3_lattices(sK0)
    | ~ v17_lattices(sK0)
    | ~ v10_lattices(sK0)
    | k4_xboole_0(k7_lopclset(sK0),k8_funct_2(u1_struct_0(sK0),k1_zfmisc_1(k7_lopclset(sK0)),k9_lopclset(sK0),X0)) = k8_funct_2(u1_struct_0(sK0),k1_zfmisc_1(k7_lopclset(sK0)),k9_lopclset(sK0),k7_lattices(sK0,X0))
    | v3_struct_0(sK0) ),
    inference(unflattening,[status(thm)],[c_3116]) ).

cnf(c_3119,plain,
    ( k4_xboole_0(k7_lopclset(sK0),k8_funct_2(u1_struct_0(sK0),k1_zfmisc_1(k7_lopclset(sK0)),k9_lopclset(sK0),X0)) = k8_funct_2(u1_struct_0(sK0),k1_zfmisc_1(k7_lopclset(sK0)),k9_lopclset(sK0),k7_lattices(sK0,X0))
    | ~ m1_subset_1(X0,u1_struct_0(sK0)) ),
    inference(global_subsumption_just,[status(thm)],[c_3117,c_53,c_52,c_50,c_54,c_3117]) ).

cnf(c_3120,plain,
    ( ~ m1_subset_1(X0,u1_struct_0(sK0))
    | k4_xboole_0(k7_lopclset(sK0),k8_funct_2(u1_struct_0(sK0),k1_zfmisc_1(k7_lopclset(sK0)),k9_lopclset(sK0),X0)) = k8_funct_2(u1_struct_0(sK0),k1_zfmisc_1(k7_lopclset(sK0)),k9_lopclset(sK0),k7_lattices(sK0,X0)) ),
    inference(renaming,[status(thm)],[c_3119]) ).

cnf(c_3166,plain,
    ( X0 != sK0
    | ~ l3_lattices(X0)
    | ~ v17_lattices(X0)
    | ~ v10_lattices(X0)
    | k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),k5_lattices(X0)) = k1_xboole_0
    | v3_struct_0(X0) ),
    inference(resolution_lifted,[status(thm)],[c_51,c_218]) ).

cnf(c_3167,plain,
    ( ~ l3_lattices(sK0)
    | ~ v17_lattices(sK0)
    | ~ v10_lattices(sK0)
    | k8_funct_2(u1_struct_0(sK0),k1_zfmisc_1(k7_lopclset(sK0)),k9_lopclset(sK0),k5_lattices(sK0)) = k1_xboole_0
    | v3_struct_0(sK0) ),
    inference(unflattening,[status(thm)],[c_3166]) ).

cnf(c_3168,plain,
    k8_funct_2(u1_struct_0(sK0),k1_zfmisc_1(k7_lopclset(sK0)),k9_lopclset(sK0),k5_lattices(sK0)) = k1_xboole_0,
    inference(global_subsumption_just,[status(thm)],[c_3167,c_53,c_52,c_50,c_54,c_3167]) ).

cnf(c_3360,plain,
    ( X0 != sK0
    | ~ l3_lattices(X0)
    | ~ v10_lattices(X0)
    | k7_lattices(X0,k5_lattices(X0)) = k6_lattices(X0)
    | v3_struct_0(X0) ),
    inference(resolution_lifted,[status(thm)],[c_52,c_219]) ).

cnf(c_3361,plain,
    ( ~ l3_lattices(sK0)
    | ~ v10_lattices(sK0)
    | k7_lattices(sK0,k5_lattices(sK0)) = k6_lattices(sK0)
    | v3_struct_0(sK0) ),
    inference(unflattening,[status(thm)],[c_3360]) ).

cnf(c_3362,plain,
    k7_lattices(sK0,k5_lattices(sK0)) = k6_lattices(sK0),
    inference(global_subsumption_just,[status(thm)],[c_3361,c_53,c_50,c_54,c_3361]) ).

cnf(c_3626,plain,
    ( X0 != sK0
    | m1_subset_1(k5_lattices(X0),u1_struct_0(X0))
    | v3_struct_0(X0) ),
    inference(resolution_lifted,[status(thm)],[c_50,c_2495]) ).

cnf(c_3627,plain,
    ( m1_subset_1(k5_lattices(sK0),u1_struct_0(sK0))
    | v3_struct_0(sK0) ),
    inference(unflattening,[status(thm)],[c_3626]) ).

cnf(c_3628,plain,
    m1_subset_1(k5_lattices(sK0),u1_struct_0(sK0)),
    inference(global_subsumption_just,[status(thm)],[c_3627,c_54,c_3627]) ).

cnf(c_5426,plain,
    u1_struct_0(sK0) = sP0_iProver_def,
    definition ).

cnf(c_5427,plain,
    k7_lopclset(sK0) = sP1_iProver_def,
    definition ).

cnf(c_5428,plain,
    k1_zfmisc_1(sP1_iProver_def) = sP2_iProver_def,
    definition ).

cnf(c_5429,plain,
    k9_lopclset(sK0) = sP3_iProver_def,
    definition ).

cnf(c_5430,plain,
    k6_lattices(sK0) = sP4_iProver_def,
    definition ).

cnf(c_5431,plain,
    k8_funct_2(sP0_iProver_def,sP2_iProver_def,sP3_iProver_def,sP4_iProver_def) = sP5_iProver_def,
    definition ).

cnf(c_5433,negated_conjecture,
    sP5_iProver_def != sP1_iProver_def,
    inference(demodulation,[status(thm)],[c_49,c_5430,c_5429,c_5427,c_5428,c_5426,c_5431]) ).

cnf(c_6390,plain,
    k8_funct_2(sP0_iProver_def,sP2_iProver_def,sP3_iProver_def,k5_lattices(sK0)) = k1_xboole_0,
    inference(light_normalisation,[status(thm)],[c_3168,c_5426,c_5427,c_5428,c_5429]) ).

cnf(c_6391,plain,
    m1_subset_1(k5_lattices(sK0),sP0_iProver_def),
    inference(light_normalisation,[status(thm)],[c_3628,c_5426]) ).

cnf(c_6399,plain,
    k7_lattices(sK0,k5_lattices(sK0)) = sP4_iProver_def,
    inference(light_normalisation,[status(thm)],[c_3362,c_5430]) ).

cnf(c_6435,plain,
    ( ~ m1_subset_1(X0,sP0_iProver_def)
    | k8_funct_2(sP0_iProver_def,sP2_iProver_def,sP3_iProver_def,k7_lattices(sK0,X0)) = k4_xboole_0(sP1_iProver_def,k8_funct_2(sP0_iProver_def,sP2_iProver_def,sP3_iProver_def,X0)) ),
    inference(light_normalisation,[status(thm)],[c_3120,c_5426,c_5427,c_5428,c_5429]) ).

cnf(c_6442,plain,
    k8_funct_2(sP0_iProver_def,sP2_iProver_def,sP3_iProver_def,k7_lattices(sK0,k5_lattices(sK0))) = k4_xboole_0(sP1_iProver_def,k8_funct_2(sP0_iProver_def,sP2_iProver_def,sP3_iProver_def,k5_lattices(sK0))),
    inference(superposition,[status(thm)],[c_6391,c_6435]) ).

cnf(c_6445,plain,
    k4_xboole_0(sP1_iProver_def,k1_xboole_0) = sP5_iProver_def,
    inference(light_normalisation,[status(thm)],[c_6442,c_5431,c_6390,c_6399]) ).

cnf(c_6485,plain,
    sP1_iProver_def = sP5_iProver_def,
    inference(demodulation,[status(thm)],[c_6445,c_220]) ).

cnf(c_6486,plain,
    sP1_iProver_def != sP1_iProver_def,
    inference(demodulation,[status(thm)],[c_5433,c_6485]) ).

cnf(c_6487,plain,
    $false,
    inference(equality_resolution_simp,[status(thm)],[c_6486]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : LAT291+1 : TPTP v8.1.2. Released v3.4.0.
% 0.06/0.13  % Command  : run_iprover %s %d THM
% 0.12/0.33  % Computer : n032.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Thu May  2 18:24:38 EDT 2024
% 0.12/0.34  % CPUTime  : 
% 0.18/0.46  Running first-order theorem proving
% 0.18/0.46  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 4.10/1.16  % SZS status Started for theBenchmark.p
% 4.10/1.16  % SZS status Theorem for theBenchmark.p
% 4.10/1.16  
% 4.10/1.16  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 4.10/1.16  
% 4.10/1.16  ------  iProver source info
% 4.10/1.16  
% 4.10/1.16  git: date: 2024-05-02 19:28:25 +0000
% 4.10/1.16  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 4.10/1.16  git: non_committed_changes: false
% 4.10/1.16  
% 4.10/1.16  ------ Parsing...
% 4.10/1.16  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 4.10/1.16  
% 4.10/1.16  ------ Preprocessing... sup_sim: 0  sf_s  rm: 72 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe_e  sup_sim: 6  sf_s  rm: 33 0s  sf_e  pe_s  pe_e 
% 4.10/1.16  
% 4.10/1.16  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 4.10/1.16  
% 4.10/1.16  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 4.10/1.16  ------ Proving...
% 4.10/1.16  ------ Problem Properties 
% 4.10/1.16  
% 4.10/1.16  
% 4.10/1.16  clauses                                 105
% 4.10/1.16  conjectures                             2
% 4.10/1.16  EPR                                     15
% 4.10/1.16  Horn                                    89
% 4.10/1.16  unary                                   53
% 4.10/1.16  binary                                  42
% 4.10/1.16  lits                                    167
% 4.10/1.16  lits eq                                 28
% 4.10/1.16  fd_pure                                 0
% 4.10/1.16  fd_pseudo                               0
% 4.10/1.16  fd_cond                                 1
% 4.10/1.16  fd_pseudo_cond                          3
% 4.10/1.16  AC symbols                              0
% 4.10/1.16  
% 4.10/1.16  ------ Schedule dynamic 5 is on 
% 4.10/1.16  
% 4.10/1.16  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.10/1.16  
% 4.10/1.16  
% 4.10/1.16  ------ 
% 4.10/1.16  Current options:
% 4.10/1.16  ------ 
% 4.10/1.16  
% 4.10/1.16  
% 4.10/1.16  
% 4.10/1.16  
% 4.10/1.16  ------ Proving...
% 4.10/1.16  
% 4.10/1.16  
% 4.10/1.16  % SZS status Theorem for theBenchmark.p
% 4.10/1.16  
% 4.10/1.16  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.10/1.16  
% 4.10/1.16  
%------------------------------------------------------------------------------