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hopCoP---0.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : hopCoP---0.1
% Problem  : LAT376+1 : TPTP v9.0.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n029.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 : Thu Jul 24 10:34:42 PM UTC 2025

% Result   : Theorem 8.23s 1.45s
% Output   : CNFRefutation 8.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   80 (   5 unt;   0 def)
%            Number of atoms       :  272 (   4 equ)
%            Maximal formula atoms :   23 (   3 avg)
%            Number of connectives :  278 (  86   ~; 103   |;  69   &)
%                                         (   0 <=>;  20  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   23 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   30 (  28 usr;   1 prp; 0-5 aty)
%            Number of functors    :    8 (   8 usr;   1 con; 0-3 aty)
%            Number of variables   :   47 (   0 sgn  18   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(t57_waybel34,plain,
    ! [A] :
      ( ~ v2_setfam_1(A)
     => r3_yellow20(k5_waybel34(A),k4_waybel34(A),k7_waybel34(A),k9_waybel34(A),k8_waybel34(A)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t57_waybel34) ).

fof(t57_waybel34_negated,plain,
    ~ ! [A] :
        ( ~ v2_setfam_1(A)
       => r3_yellow20(k5_waybel34(A),k4_waybel34(A),k7_waybel34(A),k9_waybel34(A),k8_waybel34(A)) ),
    inference(negate_conjecture,[status(cth)],[t57_waybel34]) ).

cnf(0,plain,
    ~ v2_setfam_1(sK1),
    inference(cnf,[status(esa)],[t57_waybel34_negated]) ).

cnf(l0,plain,
    ~ v2_setfam_1(sK1),
    inference(instantiation,[status(thm)],[0]) ).

fof(dt_k9_waybel34,plain,
    ! [A] :
      ( ~ v2_setfam_1(A)
     => ( ~ v3_struct_0(k9_waybel34(A))
        & v2_altcat_1(k9_waybel34(A))
        & v6_altcat_1(k9_waybel34(A))
        & v3_altcat_2(k9_waybel34(A),k5_waybel34(A))
        & m1_altcat_2(k9_waybel34(A),k5_waybel34(A)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k9_waybel34) ).

cnf(139,plain,
    ( ~ v3_struct_0(k9_waybel34(X0))
    | v2_setfam_1(X0) ),
    inference(cnf,[status(esa)],[dt_k9_waybel34]) ).

cnf(l1,plain,
    ( ~ v3_struct_0(k9_waybel34(sK1))
    | v2_setfam_1(sK1) ),
    inference(instantiation,[status(thm)],[139]) ).

fof(t52_yellow20,plain,
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_altcat_1(A)
        & v11_altcat_1(A)
        & v12_altcat_1(A)
        & l2_altcat_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v2_altcat_1(B)
            & v11_altcat_1(B)
            & v12_altcat_1(B)
            & l2_altcat_1(B) )
         => ! [C] :
              ( ( v16_functor0(C,A,B)
                & m2_functor0(C,A,B) )
             => ( v21_functor0(C,A,B)
               => ! [D] :
                    ( ( ~ v3_struct_0(D)
                      & v2_altcat_1(D)
                      & v3_altcat_2(D,A)
                      & m1_altcat_2(D,A) )
                   => ! [E] :
                        ( ( ~ v3_struct_0(E)
                          & v2_altcat_1(E)
                          & v3_altcat_2(E,B)
                          & m1_altcat_2(E,B) )
                       => ( r3_yellow20(A,B,C,D,E)
                         => r3_yellow20(B,A,k15_functor0(A,B,C),E,D) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t52_yellow20) ).

cnf(302,plain,
    ( ~ r3_yellow20(X0,X1,X2,X3,X4)
    | ~ l2_altcat_1(X0)
    | ~ l2_altcat_1(X1)
    | ~ v3_altcat_2(X3,X0)
    | ~ v3_altcat_2(X4,X1)
    | ~ v2_altcat_1(X0)
    | ~ v2_altcat_1(X1)
    | ~ v2_altcat_1(X3)
    | ~ v2_altcat_1(X4)
    | ~ v11_altcat_1(X0)
    | ~ v11_altcat_1(X1)
    | ~ v12_altcat_1(X0)
    | ~ v12_altcat_1(X1)
    | ~ m1_altcat_2(X3,X0)
    | ~ m1_altcat_2(X4,X1)
    | ~ m2_functor0(X2,X0,X1)
    | ~ v16_functor0(X2,X0,X1)
    | ~ v21_functor0(X2,X0,X1)
    | r3_yellow20(X1,X0,k15_functor0(X0,X1,X2),X4,X3)
    | v3_struct_0(X0)
    | v3_struct_0(X1)
    | v3_struct_0(X3)
    | v3_struct_0(X4) ),
    inference(cnf,[status(esa)],[t52_yellow20]) ).

cnf(l2,plain,
    ( ~ r3_yellow20(k4_waybel34(sK1),k5_waybel34(sK1),k6_waybel34(sK1),k8_waybel34(sK1),k9_waybel34(sK1))
    | ~ l2_altcat_1(k4_waybel34(sK1))
    | ~ l2_altcat_1(k5_waybel34(sK1))
    | ~ v3_altcat_2(k8_waybel34(sK1),k4_waybel34(sK1))
    | ~ v3_altcat_2(k9_waybel34(sK1),k5_waybel34(sK1))
    | ~ v2_altcat_1(k4_waybel34(sK1))
    | ~ v2_altcat_1(k5_waybel34(sK1))
    | ~ v2_altcat_1(k8_waybel34(sK1))
    | ~ v2_altcat_1(k9_waybel34(sK1))
    | ~ v11_altcat_1(k4_waybel34(sK1))
    | ~ v11_altcat_1(k5_waybel34(sK1))
    | ~ v12_altcat_1(k4_waybel34(sK1))
    | ~ v12_altcat_1(k5_waybel34(sK1))
    | ~ m1_altcat_2(k8_waybel34(sK1),k4_waybel34(sK1))
    | ~ m1_altcat_2(k9_waybel34(sK1),k5_waybel34(sK1))
    | ~ m2_functor0(k6_waybel34(sK1),k4_waybel34(sK1),k5_waybel34(sK1))
    | ~ v16_functor0(k6_waybel34(sK1),k4_waybel34(sK1),k5_waybel34(sK1))
    | ~ v21_functor0(k6_waybel34(sK1),k4_waybel34(sK1),k5_waybel34(sK1))
    | r3_yellow20(k5_waybel34(sK1),k4_waybel34(sK1),k15_functor0(k4_waybel34(sK1),k5_waybel34(sK1),k6_waybel34(sK1)),k9_waybel34(sK1),k8_waybel34(sK1))
    | v3_struct_0(k4_waybel34(sK1))
    | v3_struct_0(k5_waybel34(sK1))
    | v3_struct_0(k8_waybel34(sK1))
    | v3_struct_0(k9_waybel34(sK1)) ),
    inference(instantiation,[status(thm)],[302]) ).

cnf(140,plain,
    ( v2_setfam_1(X0)
    | v2_altcat_1(k9_waybel34(X0)) ),
    inference(cnf,[status(esa)],[dt_k9_waybel34]) ).

cnf(l353,plain,
    ( v2_setfam_1(sK1)
    | v2_altcat_1(k9_waybel34(sK1)) ),
    inference(instantiation,[status(thm)],[140]) ).

fof(dt_k8_waybel34,plain,
    ! [A] :
      ( ~ v1_xboole_0(A)
     => ( ~ v3_struct_0(k8_waybel34(A))
        & v2_altcat_1(k8_waybel34(A))
        & v6_altcat_1(k8_waybel34(A))
        & v3_altcat_2(k8_waybel34(A),k4_waybel34(A))
        & m1_altcat_2(k8_waybel34(A),k4_waybel34(A)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k8_waybel34) ).

cnf(134,plain,
    ( ~ v3_struct_0(k8_waybel34(X0))
    | v1_xboole_0(X0) ),
    inference(cnf,[status(esa)],[dt_k8_waybel34]) ).

cnf(l525,plain,
    ( ~ v3_struct_0(k8_waybel34(sK1))
    | v1_xboole_0(sK1) ),
    inference(instantiation,[status(thm)],[134]) ).

cnf(137,plain,
    ( v3_altcat_2(k8_waybel34(X0),k4_waybel34(X0))
    | v1_xboole_0(X0) ),
    inference(cnf,[status(esa)],[dt_k8_waybel34]) ).

cnf(l357,plain,
    ( v3_altcat_2(k8_waybel34(sK1),k4_waybel34(sK1))
    | v1_xboole_0(sK1) ),
    inference(instantiation,[status(thm)],[137]) ).

cnf(138,plain,
    ( v1_xboole_0(X0)
    | m1_altcat_2(k8_waybel34(X0),k4_waybel34(X0)) ),
    inference(cnf,[status(esa)],[dt_k8_waybel34]) ).

cnf(l408,plain,
    ( v1_xboole_0(sK1)
    | m1_altcat_2(k8_waybel34(sK1),k4_waybel34(sK1)) ),
    inference(instantiation,[status(thm)],[138]) ).

fof(fc6_waybel34,plain,
    ! [A] :
      ( ~ v2_setfam_1(A)
     => ( ~ v3_struct_0(k5_waybel34(A))
        & v2_altcat_1(k5_waybel34(A))
        & v6_altcat_1(k5_waybel34(A))
        & v9_altcat_1(k5_waybel34(A))
        & v11_altcat_1(k5_waybel34(A))
        & v12_altcat_1(k5_waybel34(A))
        & v1_altcat_2(k5_waybel34(A))
        & v2_yellow18(k5_waybel34(A))
        & v3_yellow18(k5_waybel34(A))
        & v4_yellow18(k5_waybel34(A))
        & v1_yellow21(k5_waybel34(A))
        & v2_yellow21(k5_waybel34(A))
        & v3_yellow21(k5_waybel34(A)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc6_waybel34) ).

cnf(200,plain,
    ( v2_setfam_1(X0)
    | v12_altcat_1(k5_waybel34(X0)) ),
    inference(cnf,[status(esa)],[fc6_waybel34]) ).

cnf(l414,plain,
    ( v2_setfam_1(sK1)
    | v12_altcat_1(k5_waybel34(sK1)) ),
    inference(instantiation,[status(thm)],[200]) ).

fof(dt_k5_waybel34,plain,
    ! [A] :
      ( ~ v1_xboole_0(A)
     => ( ~ v3_struct_0(k5_waybel34(A))
        & v2_altcat_1(k5_waybel34(A))
        & v6_altcat_1(k5_waybel34(A))
        & v11_altcat_1(k5_waybel34(A))
        & v12_altcat_1(k5_waybel34(A))
        & v2_yellow21(k5_waybel34(A))
        & l2_altcat_1(k5_waybel34(A)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_waybel34) ).

cnf(127,plain,
    ( l2_altcat_1(k5_waybel34(X0))
    | v1_xboole_0(X0) ),
    inference(cnf,[status(esa)],[dt_k5_waybel34]) ).

cnf(l352,plain,
    ( l2_altcat_1(k5_waybel34(sK1))
    | v1_xboole_0(sK1) ),
    inference(instantiation,[status(thm)],[127]) ).

fof(dt_k4_waybel34,plain,
    ! [A] :
      ( ~ v1_xboole_0(A)
     => ( ~ v3_struct_0(k4_waybel34(A))
        & v2_altcat_1(k4_waybel34(A))
        & v6_altcat_1(k4_waybel34(A))
        & v11_altcat_1(k4_waybel34(A))
        & v12_altcat_1(k4_waybel34(A))
        & v2_yellow21(k4_waybel34(A))
        & l2_altcat_1(k4_waybel34(A)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k4_waybel34) ).

cnf(118,plain,
    ( v1_xboole_0(X0)
    | v12_altcat_1(k4_waybel34(X0)) ),
    inference(cnf,[status(esa)],[dt_k4_waybel34]) ).

cnf(l417,plain,
    ( v1_xboole_0(sK1)
    | v12_altcat_1(k4_waybel34(sK1)) ),
    inference(instantiation,[status(thm)],[118]) ).

cnf(135,plain,
    ( v1_xboole_0(X0)
    | v2_altcat_1(k8_waybel34(X0)) ),
    inference(cnf,[status(esa)],[dt_k8_waybel34]) ).

cnf(l358,plain,
    ( v1_xboole_0(sK1)
    | v2_altcat_1(k8_waybel34(sK1)) ),
    inference(instantiation,[status(thm)],[135]) ).

fof(fc7_waybel34,plain,
    ! [A] :
      ( ~ v2_setfam_1(A)
     => ( v6_functor0(k6_waybel34(A),k4_waybel34(A),k5_waybel34(A))
        & v8_functor0(k6_waybel34(A),k4_waybel34(A),k5_waybel34(A))
        & v9_functor0(k6_waybel34(A),k4_waybel34(A),k5_waybel34(A))
        & v11_functor0(k6_waybel34(A),k4_waybel34(A),k5_waybel34(A))
        & v12_functor0(k6_waybel34(A),k4_waybel34(A),k5_waybel34(A))
        & v14_functor0(k6_waybel34(A),k4_waybel34(A),k5_waybel34(A))
        & v16_functor0(k6_waybel34(A),k4_waybel34(A),k5_waybel34(A))
        & v21_functor0(k6_waybel34(A),k4_waybel34(A),k5_waybel34(A)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc7_waybel34) ).

cnf(218,plain,
    ( v2_setfam_1(X0)
    | v21_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0)) ),
    inference(cnf,[status(esa)],[fc7_waybel34]) ).

cnf(l402,plain,
    ( v2_setfam_1(sK1)
    | v21_functor0(k6_waybel34(sK1),k4_waybel34(sK1),k5_waybel34(sK1)) ),
    inference(instantiation,[status(thm)],[218]) ).

fof(fc5_waybel34,plain,
    ! [A] :
      ( ~ v2_setfam_1(A)
     => ( ~ v3_struct_0(k4_waybel34(A))
        & v2_altcat_1(k4_waybel34(A))
        & v6_altcat_1(k4_waybel34(A))
        & v9_altcat_1(k4_waybel34(A))
        & v11_altcat_1(k4_waybel34(A))
        & v12_altcat_1(k4_waybel34(A))
        & v1_altcat_2(k4_waybel34(A))
        & v2_yellow18(k4_waybel34(A))
        & v3_yellow18(k4_waybel34(A))
        & v4_yellow18(k4_waybel34(A))
        & v1_yellow21(k4_waybel34(A))
        & v2_yellow21(k4_waybel34(A))
        & v3_yellow21(k4_waybel34(A)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc5_waybel34) ).

cnf(176,plain,
    ( ~ v3_struct_0(k4_waybel34(X0))
    | v2_setfam_1(X0) ),
    inference(cnf,[status(esa)],[fc5_waybel34]) ).

cnf(l477,plain,
    ( ~ v3_struct_0(k4_waybel34(sK1))
    | v2_setfam_1(sK1) ),
    inference(instantiation,[status(thm)],[176]) ).

cnf(142,plain,
    ( v2_setfam_1(X0)
    | v3_altcat_2(k9_waybel34(X0),k5_waybel34(X0)) ),
    inference(cnf,[status(esa)],[dt_k9_waybel34]) ).

cnf(l364,plain,
    ( v2_setfam_1(sK1)
    | v3_altcat_2(k9_waybel34(sK1),k5_waybel34(sK1)) ),
    inference(instantiation,[status(thm)],[142]) ).

fof(cc2_setfam_1,plain,
    ! [A] :
      ( ~ v2_setfam_1(A)
     => ~ v1_xboole_0(A) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_setfam_1) ).

cnf(63,plain,
    ( ~ v1_xboole_0(X0)
    | v2_setfam_1(X0) ),
    inference(cnf,[status(esa)],[cc2_setfam_1]) ).

cnf(l401,plain,
    ( ~ v1_xboole_0(sK1)
    | v2_setfam_1(sK1) ),
    inference(instantiation,[status(thm)],[63]) ).

cnf(217,plain,
    ( v2_setfam_1(X0)
    | v16_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0)) ),
    inference(cnf,[status(esa)],[fc7_waybel34]) ).

cnf(l430,plain,
    ( v2_setfam_1(sK1)
    | v16_functor0(k6_waybel34(sK1),k4_waybel34(sK1),k5_waybel34(sK1)) ),
    inference(instantiation,[status(thm)],[217]) ).

cnf(143,plain,
    ( v2_setfam_1(X0)
    | m1_altcat_2(k9_waybel34(X0),k5_waybel34(X0)) ),
    inference(cnf,[status(esa)],[dt_k9_waybel34]) ).

cnf(l410,plain,
    ( v2_setfam_1(sK1)
    | m1_altcat_2(k9_waybel34(sK1),k5_waybel34(sK1)) ),
    inference(instantiation,[status(thm)],[143]) ).

cnf(124,plain,
    ( v1_xboole_0(X0)
    | v11_altcat_1(k5_waybel34(X0)) ),
    inference(cnf,[status(esa)],[dt_k5_waybel34]) ).

cnf(l395,plain,
    ( v1_xboole_0(sK1)
    | v11_altcat_1(k5_waybel34(sK1)) ),
    inference(instantiation,[status(thm)],[124]) ).

fof(t56_waybel34,plain,
    ! [A] :
      ( ~ v2_setfam_1(A)
     => r3_yellow20(k4_waybel34(A),k5_waybel34(A),k6_waybel34(A),k8_waybel34(A),k9_waybel34(A)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t56_waybel34) ).

cnf(303,plain,
    ( r3_yellow20(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0),k8_waybel34(X0),k9_waybel34(X0))
    | v2_setfam_1(X0) ),
    inference(cnf,[status(esa)],[t56_waybel34]) ).

cnf(l26,plain,
    ( r3_yellow20(k4_waybel34(sK1),k5_waybel34(sK1),k6_waybel34(sK1),k8_waybel34(sK1),k9_waybel34(sK1))
    | v2_setfam_1(sK1) ),
    inference(instantiation,[status(thm)],[303]) ).

cnf(l466,plain,
    ( ~ v1_xboole_0(sK1)
    | v2_setfam_1(sK1) ),
    inference(instantiation,[status(thm)],[63]) ).

fof(dt_k6_waybel34,plain,
    ! [A] :
      ( ~ v2_setfam_1(A)
     => ( v9_functor0(k6_waybel34(A),k4_waybel34(A),k5_waybel34(A))
        & v16_functor0(k6_waybel34(A),k4_waybel34(A),k5_waybel34(A))
        & m2_functor0(k6_waybel34(A),k4_waybel34(A),k5_waybel34(A)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k6_waybel34) ).

cnf(130,plain,
    ( v2_setfam_1(X0)
    | m2_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0)) ),
    inference(cnf,[status(esa)],[dt_k6_waybel34]) ).

cnf(l442,plain,
    ( v2_setfam_1(sK1)
    | m2_functor0(k6_waybel34(sK1),k4_waybel34(sK1),k5_waybel34(sK1)) ),
    inference(instantiation,[status(thm)],[130]) ).

cnf(120,plain,
    ( l2_altcat_1(k4_waybel34(X0))
    | v1_xboole_0(X0) ),
    inference(cnf,[status(esa)],[dt_k4_waybel34]) ).

cnf(l3,plain,
    ( l2_altcat_1(k4_waybel34(sK1))
    | v1_xboole_0(sK1) ),
    inference(instantiation,[status(thm)],[120]) ).

cnf(117,plain,
    ( v1_xboole_0(X0)
    | v11_altcat_1(k4_waybel34(X0)) ),
    inference(cnf,[status(esa)],[dt_k4_waybel34]) ).

cnf(l403,plain,
    ( v1_xboole_0(sK1)
    | v11_altcat_1(k4_waybel34(sK1)) ),
    inference(instantiation,[status(thm)],[117]) ).

cnf(l371,plain,
    ( ~ v1_xboole_0(sK1)
    | v2_setfam_1(sK1) ),
    inference(instantiation,[status(thm)],[63]) ).

cnf(l445,plain,
    ( ~ v1_xboole_0(sK1)
    | v2_setfam_1(sK1) ),
    inference(instantiation,[status(thm)],[63]) ).

cnf(115,plain,
    ( v1_xboole_0(X0)
    | v2_altcat_1(k4_waybel34(X0)) ),
    inference(cnf,[status(esa)],[dt_k4_waybel34]) ).

cnf(l350,plain,
    ( v1_xboole_0(sK1)
    | v2_altcat_1(k4_waybel34(sK1)) ),
    inference(instantiation,[status(thm)],[115]) ).

cnf(121,plain,
    ( ~ v3_struct_0(k5_waybel34(X0))
    | v1_xboole_0(X0) ),
    inference(cnf,[status(esa)],[dt_k5_waybel34]) ).

cnf(l432,plain,
    ( ~ v3_struct_0(k5_waybel34(sK1))
    | v1_xboole_0(sK1) ),
    inference(instantiation,[status(thm)],[121]) ).

cnf(1,plain,
    ~ r3_yellow20(k5_waybel34(sK1),k4_waybel34(sK1),k7_waybel34(sK1),k9_waybel34(sK1),k8_waybel34(sK1)),
    inference(cnf,[status(esa)],[t57_waybel34_negated]) ).

cnf(l406,plain,
    ~ r3_yellow20(k5_waybel34(sK1),k4_waybel34(sK1),k7_waybel34(sK1),k9_waybel34(sK1),k8_waybel34(sK1)),
    inference(instantiation,[status(thm)],[1]) ).

cnf(122,plain,
    ( v1_xboole_0(X0)
    | v2_altcat_1(k5_waybel34(X0)) ),
    inference(cnf,[status(esa)],[dt_k5_waybel34]) ).

cnf(l369,plain,
    ( v1_xboole_0(sK1)
    | v2_altcat_1(k5_waybel34(sK1)) ),
    inference(instantiation,[status(thm)],[122]) ).

cnf(l398,plain,
    ( ~ v1_xboole_0(sK1)
    | v2_setfam_1(sK1) ),
    inference(instantiation,[status(thm)],[63]) ).

cnf(l7,plain,
    ( ~ v1_xboole_0(sK1)
    | v2_setfam_1(sK1) ),
    inference(instantiation,[status(thm)],[63]) ).

cnf(l453,plain,
    ( ~ v1_xboole_0(sK1)
    | v2_setfam_1(sK1) ),
    inference(instantiation,[status(thm)],[63]) ).

cnf(l428,plain,
    ( ~ v1_xboole_0(sK1)
    | v2_setfam_1(sK1) ),
    inference(instantiation,[status(thm)],[63]) ).

cnf(l363,plain,
    ( ~ v1_xboole_0(sK1)
    | v2_setfam_1(sK1) ),
    inference(instantiation,[status(thm)],[63]) ).

cnf(l436,plain,
    ( ~ v1_xboole_0(sK1)
    | v2_setfam_1(sK1) ),
    inference(instantiation,[status(thm)],[63]) ).

cnf(l542,plain,
    ( ~ v1_xboole_0(sK1)
    | v2_setfam_1(sK1) ),
    inference(instantiation,[status(thm)],[63]) ).

fof(t18_waybel34,plain,
    ! [A] :
      ( ~ v2_setfam_1(A)
     => ( k15_functor0(k4_waybel34(A),k5_waybel34(A),k6_waybel34(A)) = k7_waybel34(A)
        & k15_functor0(k5_waybel34(A),k4_waybel34(A),k7_waybel34(A)) = k6_waybel34(A) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t18_waybel34) ).

cnf(295,plain,
    ( v2_setfam_1(X0)
    | k15_functor0(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0)) = k7_waybel34(X0) ),
    inference(cnf,[status(esa)],[t18_waybel34]) ).

cnf(l407,plain,
    ( v2_setfam_1(sK1)
    | k15_functor0(k4_waybel34(sK1),k5_waybel34(sK1),k6_waybel34(sK1)) = k7_waybel34(sK1) ),
    inference(instantiation,[status(thm)],[295]) ).

cnf(l544,plain,
    ( ~ v1_xboole_0(sK1)
    | v2_setfam_1(sK1) ),
    inference(instantiation,[status(thm)],[63]) ).

cnf(final,plain,
    $false,
    inference(ground_refutation,[status(thm)],[l0,l1,l2,l353,l525,l357,l408,l414,l352,l417,l358,l402,l477,l364,l401,l430,l410,l395,l26,l466,l442,l3,l403,l371,l445,l350,l432,l406,l369,l398,l7,l453,l428,l363,l436,l542,l407,l544]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : LAT376+1 : TPTP v9.0.0. Released v3.4.0.
% 0.03/0.13  % Command  : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34  % Computer : n029.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Mon Jul 21 01:40:04 EDT 2025
% 0.12/0.34  % CPUTime  : 
% 0.19/0.35  % launching worker at depth: 3
% 0.19/0.35  % launching worker at depth: 1
% 0.19/0.35  % launching worker at depth: 7
% 0.19/0.35  % launching worker at depth: 8
% 0.19/0.35  % launching worker at depth: 2
% 0.19/0.35  % launching worker at depth: 6
% 0.19/0.35  % launching worker at depth: 4
% 0.19/0.35  % launching worker at depth: 5
% 0.19/0.35  % launching worker at depth: 9
% 0.19/0.38  % launching worker at depth: 10
% 0.19/0.54  % launching worker at depth: 11
% 8.23/1.45  % SZS status Theorem for theBenchmark
% 8.23/1.45  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------