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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : LAT361+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n017.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 : Tue Sep 29 11:47:20 AM UTC 2026

% Result   : Theorem 19.44s 6.55s
% Output   : Refutation 35.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   26
%            Number of leaves      :   15
% Syntax   : Number of formulae    :  100 (  13 unt;   2 def)
%            Number of atoms       :  534 (  57 equ)
%            Maximal formula atoms :   21 (   5 avg)
%            Number of connectives :  678 ( 244   ~; 318   |;  94   &)
%                                         (   2 <=>;  20  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   25 (   7 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   24 (  22 usr;   3 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   1 con; 0-5 aty)
%            Number of variables   :  127 (   0 sgn 126   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f451,axiom,
    ! [X0] :
      ( ~ v2_setfam_1(X0)
     => ~ v1_xboole_0(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_setfam_1) ).

fof(f7532,axiom,
    ! [X0] :
      ( l2_altcat_1(X0)
     => ( ( ~ v3_struct_0(X0)
          & v12_altcat_1(X0) )
       => ( ~ v3_struct_0(X0)
          & v1_altcat_2(X0) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_altcat_2) ).

fof(f7792,axiom,
    ! [X0,X1] :
      ( ( ~ v3_struct_0(X0)
        & v2_altcat_1(X0)
        & v12_altcat_1(X0)
        & l2_altcat_1(X0)
        & ~ v3_struct_0(X1)
        & v12_altcat_1(X1)
        & l2_altcat_1(X1) )
     => ! [X2] :
          ( m2_functor0(X2,X0,X1)
         => l2_functor0(X2,X0,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_functor0) ).

fof(f7859,axiom,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & v2_altcat_1(X0)
        & v12_altcat_1(X0)
        & v1_altcat_2(X0)
        & l2_altcat_1(X0) )
     => ! [X1] :
          ( ( ~ v3_struct_0(X1)
            & v2_altcat_1(X1)
            & v12_altcat_1(X1)
            & v1_altcat_2(X1)
            & l2_altcat_1(X1) )
         => ! [X2] :
              ( ( v8_functor0(X2,X0,X1)
                & l2_functor0(X2,X0,X1) )
             => ( v21_functor0(X2,X0,X1)
               => k13_functor0(X0,X1,X0,X2,k15_functor0(X0,X1,X2)) = k12_functor0(X0) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t22_functor1) ).

fof(f9402,axiom,
    ! [X0,X1] :
      ( ( ~ v3_struct_0(X0)
        & v2_altcat_1(X0)
        & v12_altcat_1(X0)
        & l2_altcat_1(X0)
        & ~ v3_struct_0(X1)
        & v12_altcat_1(X1)
        & l2_altcat_1(X1) )
     => ! [X2] :
          ( m2_functor0(X2,X0,X1)
         => ( v8_functor0(X2,X0,X1)
            & v12_functor0(X2,X0,X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_functor2) ).

fof(f10317,axiom,
    ! [X0] :
      ( ~ v1_xboole_0(X0)
     => ( ~ v3_struct_0(k4_waybel34(X0))
        & v2_altcat_1(k4_waybel34(X0))
        & v6_altcat_1(k4_waybel34(X0))
        & v11_altcat_1(k4_waybel34(X0))
        & v12_altcat_1(k4_waybel34(X0))
        & v2_yellow21(k4_waybel34(X0))
        & l2_altcat_1(k4_waybel34(X0)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k4_waybel34) ).

fof(f10318,axiom,
    ! [X0] :
      ( ~ v1_xboole_0(X0)
     => ( ~ v3_struct_0(k5_waybel34(X0))
        & v2_altcat_1(k5_waybel34(X0))
        & v6_altcat_1(k5_waybel34(X0))
        & v11_altcat_1(k5_waybel34(X0))
        & v12_altcat_1(k5_waybel34(X0))
        & v2_yellow21(k5_waybel34(X0))
        & l2_altcat_1(k5_waybel34(X0)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_waybel34) ).

fof(f10319,axiom,
    ! [X0] :
      ( ~ v2_setfam_1(X0)
     => ( v9_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
        & v16_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
        & m2_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k6_waybel34) ).

fof(f10320,axiom,
    ! [X0] :
      ( ~ v2_setfam_1(X0)
     => ( v9_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
        & v16_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
        & m2_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k7_waybel34) ).

fof(f10360,axiom,
    ! [X0] :
      ( ~ v2_setfam_1(X0)
     => ( v6_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
        & v8_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
        & v9_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
        & v11_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
        & v12_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
        & v14_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
        & v16_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
        & v21_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc7_waybel34) ).

fof(f10361,axiom,
    ! [X0] :
      ( ~ v2_setfam_1(X0)
     => ( v6_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
        & v8_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
        & v9_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
        & v11_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
        & v12_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
        & v14_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
        & v16_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
        & v21_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc8_waybel34) ).

fof(f10362,axiom,
    ! [X0] :
      ( ~ v2_setfam_1(X0)
     => ( k15_functor0(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0)) = k7_waybel34(X0)
        & k15_functor0(k5_waybel34(X0),k4_waybel34(X0),k7_waybel34(X0)) = k6_waybel34(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t18_waybel34) ).

fof(f10363,conjecture,
    ! [X0] :
      ( ~ v2_setfam_1(X0)
     => ( k13_functor0(k5_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0),k7_waybel34(X0),k6_waybel34(X0)) = k12_functor0(k5_waybel34(X0))
        & k13_functor0(k4_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0),k6_waybel34(X0),k7_waybel34(X0)) = k12_functor0(k4_waybel34(X0)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t19_waybel34) ).

fof(f10364,negated_conjecture,
    ~ ! [X0] :
        ( ~ v2_setfam_1(X0)
       => ( k13_functor0(k5_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0),k7_waybel34(X0),k6_waybel34(X0)) = k12_functor0(k5_waybel34(X0))
          & k13_functor0(k4_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0),k6_waybel34(X0),k7_waybel34(X0)) = k12_functor0(k4_waybel34(X0)) ) ),
    inference(negated_conjecture,[status(cth)],[f10363]) ).

fof(f10427,plain,
    ! [X0] :
      ( ( ~ v3_struct_0(k4_waybel34(X0))
        & v2_altcat_1(k4_waybel34(X0))
        & v6_altcat_1(k4_waybel34(X0))
        & v11_altcat_1(k4_waybel34(X0))
        & v12_altcat_1(k4_waybel34(X0))
        & v2_yellow21(k4_waybel34(X0))
        & l2_altcat_1(k4_waybel34(X0)) )
      | v1_xboole_0(X0) ),
    inference(ennf_transformation,[],[f10317]) ).

fof(f10428,plain,
    ! [X0] :
      ( ( ~ v3_struct_0(k5_waybel34(X0))
        & v2_altcat_1(k5_waybel34(X0))
        & v6_altcat_1(k5_waybel34(X0))
        & v11_altcat_1(k5_waybel34(X0))
        & v12_altcat_1(k5_waybel34(X0))
        & v2_yellow21(k5_waybel34(X0))
        & l2_altcat_1(k5_waybel34(X0)) )
      | v1_xboole_0(X0) ),
    inference(ennf_transformation,[],[f10318]) ).

fof(f10429,plain,
    ! [X0] :
      ( ( v9_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
        & v16_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
        & m2_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0)) )
      | v2_setfam_1(X0) ),
    inference(ennf_transformation,[],[f10319]) ).

fof(f10430,plain,
    ! [X0] :
      ( ( v9_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
        & v16_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
        & m2_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0)) )
      | v2_setfam_1(X0) ),
    inference(ennf_transformation,[],[f10320]) ).

fof(f10500,plain,
    ! [X0] :
      ( ( v6_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
        & v8_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
        & v9_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
        & v11_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
        & v12_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
        & v14_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
        & v16_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
        & v21_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0)) )
      | v2_setfam_1(X0) ),
    inference(ennf_transformation,[],[f10360]) ).

fof(f10501,plain,
    ! [X0] :
      ( ( v6_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
        & v8_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
        & v9_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
        & v11_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
        & v12_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
        & v14_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
        & v16_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
        & v21_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0)) )
      | v2_setfam_1(X0) ),
    inference(ennf_transformation,[],[f10361]) ).

fof(f10502,plain,
    ! [X0] :
      ( ( k15_functor0(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0)) = k7_waybel34(X0)
        & k15_functor0(k5_waybel34(X0),k4_waybel34(X0),k7_waybel34(X0)) = k6_waybel34(X0) )
      | v2_setfam_1(X0) ),
    inference(ennf_transformation,[],[f10362]) ).

fof(f10503,plain,
    ? [X0] :
      ( ( k13_functor0(k5_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0),k7_waybel34(X0),k6_waybel34(X0)) != k12_functor0(k5_waybel34(X0))
        | k13_functor0(k4_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0),k6_waybel34(X0),k7_waybel34(X0)) != k12_functor0(k4_waybel34(X0)) )
      & ~ v2_setfam_1(X0) ),
    inference(ennf_transformation,[],[f10364]) ).

fof(f10554,plain,
    ! [X0] :
      ( ~ v1_xboole_0(X0)
      | v2_setfam_1(X0) ),
    inference(ennf_transformation,[],[f451]) ).

fof(f10901,plain,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & v1_altcat_2(X0) )
      | v3_struct_0(X0)
      | ~ v12_altcat_1(X0)
      | ~ l2_altcat_1(X0) ),
    inference(ennf_transformation,[],[f7532]) ).

fof(f10902,plain,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & v1_altcat_2(X0) )
      | v3_struct_0(X0)
      | ~ v12_altcat_1(X0)
      | ~ l2_altcat_1(X0) ),
    inference(flattening,[],[f10901]) ).

fof(f10984,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( v8_functor0(X2,X0,X1)
            & v12_functor0(X2,X0,X1) )
          | ~ m2_functor0(X2,X0,X1) )
      | v3_struct_0(X0)
      | ~ v2_altcat_1(X0)
      | ~ v12_altcat_1(X0)
      | ~ l2_altcat_1(X0)
      | v3_struct_0(X1)
      | ~ v12_altcat_1(X1)
      | ~ l2_altcat_1(X1) ),
    inference(ennf_transformation,[],[f9402]) ).

fof(f10985,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( v8_functor0(X2,X0,X1)
            & v12_functor0(X2,X0,X1) )
          | ~ m2_functor0(X2,X0,X1) )
      | v3_struct_0(X0)
      | ~ v2_altcat_1(X0)
      | ~ v12_altcat_1(X0)
      | ~ l2_altcat_1(X0)
      | v3_struct_0(X1)
      | ~ v12_altcat_1(X1)
      | ~ l2_altcat_1(X1) ),
    inference(flattening,[],[f10984]) ).

fof(f11048,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( k13_functor0(X0,X1,X0,X2,k15_functor0(X0,X1,X2)) = k12_functor0(X0)
              | ~ v21_functor0(X2,X0,X1)
              | ~ v8_functor0(X2,X0,X1)
              | ~ l2_functor0(X2,X0,X1) )
          | v3_struct_0(X1)
          | ~ v2_altcat_1(X1)
          | ~ v12_altcat_1(X1)
          | ~ v1_altcat_2(X1)
          | ~ l2_altcat_1(X1) )
      | v3_struct_0(X0)
      | ~ v2_altcat_1(X0)
      | ~ v12_altcat_1(X0)
      | ~ v1_altcat_2(X0)
      | ~ l2_altcat_1(X0) ),
    inference(ennf_transformation,[],[f7859]) ).

fof(f11049,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( k13_functor0(X0,X1,X0,X2,k15_functor0(X0,X1,X2)) = k12_functor0(X0)
              | ~ v21_functor0(X2,X0,X1)
              | ~ v8_functor0(X2,X0,X1)
              | ~ l2_functor0(X2,X0,X1) )
          | v3_struct_0(X1)
          | ~ v2_altcat_1(X1)
          | ~ v12_altcat_1(X1)
          | ~ v1_altcat_2(X1)
          | ~ l2_altcat_1(X1) )
      | v3_struct_0(X0)
      | ~ v2_altcat_1(X0)
      | ~ v12_altcat_1(X0)
      | ~ v1_altcat_2(X0)
      | ~ l2_altcat_1(X0) ),
    inference(flattening,[],[f11048]) ).

fof(f11136,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( l2_functor0(X2,X0,X1)
          | ~ m2_functor0(X2,X0,X1) )
      | v3_struct_0(X0)
      | ~ v2_altcat_1(X0)
      | ~ v12_altcat_1(X0)
      | ~ l2_altcat_1(X0)
      | v3_struct_0(X1)
      | ~ v12_altcat_1(X1)
      | ~ l2_altcat_1(X1) ),
    inference(ennf_transformation,[],[f7792]) ).

fof(f11137,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( l2_functor0(X2,X0,X1)
          | ~ m2_functor0(X2,X0,X1) )
      | v3_struct_0(X0)
      | ~ v2_altcat_1(X0)
      | ~ v12_altcat_1(X0)
      | ~ l2_altcat_1(X0)
      | v3_struct_0(X1)
      | ~ v12_altcat_1(X1)
      | ~ l2_altcat_1(X1) ),
    inference(flattening,[],[f11136]) ).

fof(f13851,plain,
    ( ( k13_functor0(k5_waybel34(sK73),k4_waybel34(sK73),k5_waybel34(sK73),k7_waybel34(sK73),k6_waybel34(sK73)) != k12_functor0(k5_waybel34(sK73))
      | k13_functor0(k4_waybel34(sK73),k5_waybel34(sK73),k4_waybel34(sK73),k6_waybel34(sK73),k7_waybel34(sK73)) != k12_functor0(k4_waybel34(sK73)) )
    & ~ v2_setfam_1(sK73) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK73]),skolemize(X0,sK73)],[f10503]) ).

fof(f15113,plain,
    ! [X0] :
      ( l2_altcat_1(k4_waybel34(X0))
      | v1_xboole_0(X0) ),
    inference(cnf_transformation,[],[f10427]) ).

fof(f15115,plain,
    ! [X0] :
      ( v12_altcat_1(k4_waybel34(X0))
      | v1_xboole_0(X0) ),
    inference(cnf_transformation,[],[f10427]) ).

fof(f15118,plain,
    ! [X0] :
      ( v2_altcat_1(k4_waybel34(X0))
      | v1_xboole_0(X0) ),
    inference(cnf_transformation,[],[f10427]) ).

fof(f15119,plain,
    ! [X0] :
      ( ~ v3_struct_0(k4_waybel34(X0))
      | v1_xboole_0(X0) ),
    inference(cnf_transformation,[],[f10427]) ).

fof(f15120,plain,
    ! [X0] :
      ( l2_altcat_1(k5_waybel34(X0))
      | v1_xboole_0(X0) ),
    inference(cnf_transformation,[],[f10428]) ).

fof(f15122,plain,
    ! [X0] :
      ( v12_altcat_1(k5_waybel34(X0))
      | v1_xboole_0(X0) ),
    inference(cnf_transformation,[],[f10428]) ).

fof(f15125,plain,
    ! [X0] :
      ( v2_altcat_1(k5_waybel34(X0))
      | v1_xboole_0(X0) ),
    inference(cnf_transformation,[],[f10428]) ).

fof(f15126,plain,
    ! [X0] :
      ( ~ v3_struct_0(k5_waybel34(X0))
      | v1_xboole_0(X0) ),
    inference(cnf_transformation,[],[f10428]) ).

fof(f15127,plain,
    ! [X0] :
      ( m2_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(cnf_transformation,[],[f10429]) ).

fof(f15130,plain,
    ! [X0] :
      ( m2_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(cnf_transformation,[],[f10430]) ).

fof(f15357,plain,
    ! [X0] :
      ( v21_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(cnf_transformation,[],[f10500]) ).

fof(f15365,plain,
    ! [X0] :
      ( v21_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(cnf_transformation,[],[f10501]) ).

fof(f15373,plain,
    ! [X0] :
      ( v2_setfam_1(X0)
      | k6_waybel34(X0) = k15_functor0(k5_waybel34(X0),k4_waybel34(X0),k7_waybel34(X0)) ),
    inference(cnf_transformation,[],[f10502]) ).

fof(f15374,plain,
    ! [X0] :
      ( v2_setfam_1(X0)
      | k7_waybel34(X0) = k15_functor0(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0)) ),
    inference(cnf_transformation,[],[f10502]) ).

fof(f15375,plain,
    ~ v2_setfam_1(sK73),
    inference(cnf_transformation,[],[f13851]) ).

fof(f15376,plain,
    ( k13_functor0(k5_waybel34(sK73),k4_waybel34(sK73),k5_waybel34(sK73),k7_waybel34(sK73),k6_waybel34(sK73)) != k12_functor0(k5_waybel34(sK73))
    | k13_functor0(k4_waybel34(sK73),k5_waybel34(sK73),k4_waybel34(sK73),k6_waybel34(sK73),k7_waybel34(sK73)) != k12_functor0(k4_waybel34(sK73)) ),
    inference(cnf_transformation,[],[f13851]) ).

fof(f15503,plain,
    ! [X0] :
      ( ~ v1_xboole_0(X0)
      | v2_setfam_1(X0) ),
    inference(cnf_transformation,[],[f10554]) ).

fof(f16100,plain,
    ! [X0] :
      ( v1_altcat_2(X0)
      | v3_struct_0(X0)
      | ~ v12_altcat_1(X0)
      | ~ l2_altcat_1(X0) ),
    inference(cnf_transformation,[],[f10902]) ).

fof(f16574,plain,
    ! [X2,X0,X1] :
      ( v8_functor0(X2,X0,X1)
      | ~ m2_functor0(X2,X0,X1)
      | v3_struct_0(X0)
      | ~ v2_altcat_1(X0)
      | ~ v12_altcat_1(X0)
      | ~ l2_altcat_1(X0)
      | v3_struct_0(X1)
      | ~ v12_altcat_1(X1)
      | ~ l2_altcat_1(X1) ),
    inference(cnf_transformation,[],[f10985]) ).

fof(f16664,plain,
    ! [X2,X0,X1] :
      ( ~ l2_functor0(X2,X0,X1)
      | ~ v21_functor0(X2,X0,X1)
      | ~ v8_functor0(X2,X0,X1)
      | k12_functor0(X0) = k13_functor0(X0,X1,X0,X2,k15_functor0(X0,X1,X2))
      | v3_struct_0(X1)
      | ~ v2_altcat_1(X1)
      | ~ v12_altcat_1(X1)
      | ~ v1_altcat_2(X1)
      | ~ l2_altcat_1(X1)
      | v3_struct_0(X0)
      | ~ v2_altcat_1(X0)
      | ~ v12_altcat_1(X0)
      | ~ v1_altcat_2(X0)
      | ~ l2_altcat_1(X0) ),
    inference(cnf_transformation,[],[f11049]) ).

fof(f16768,plain,
    ! [X2,X0,X1] :
      ( l2_functor0(X2,X0,X1)
      | ~ m2_functor0(X2,X0,X1)
      | v3_struct_0(X0)
      | ~ v2_altcat_1(X0)
      | ~ v12_altcat_1(X0)
      | ~ l2_altcat_1(X0)
      | v3_struct_0(X1)
      | ~ v12_altcat_1(X1)
      | ~ l2_altcat_1(X1) ),
    inference(cnf_transformation,[],[f11137]) ).

fof(f23689,definition,
    ( spl891_223
  <=> k13_functor0(k4_waybel34(sK73),k5_waybel34(sK73),k4_waybel34(sK73),k6_waybel34(sK73),k7_waybel34(sK73)) = k12_functor0(k4_waybel34(sK73)) ),
    introduced(definition,[new_symbols(definition,[spl891_223])],[avatar_definition]) ).

fof(f23690,plain,
    ( k13_functor0(k4_waybel34(sK73),k5_waybel34(sK73),k4_waybel34(sK73),k6_waybel34(sK73),k7_waybel34(sK73)) != k12_functor0(k4_waybel34(sK73))
    | spl891_223 ),
    inference(avatar_component_clause,[],[f23689]) ).

fof(f23692,definition,
    ( spl891_224
  <=> k13_functor0(k5_waybel34(sK73),k4_waybel34(sK73),k5_waybel34(sK73),k7_waybel34(sK73),k6_waybel34(sK73)) = k12_functor0(k5_waybel34(sK73)) ),
    introduced(definition,[new_symbols(definition,[spl891_224])],[avatar_definition]) ).

fof(f23693,plain,
    ( k13_functor0(k5_waybel34(sK73),k4_waybel34(sK73),k5_waybel34(sK73),k7_waybel34(sK73),k6_waybel34(sK73)) != k12_functor0(k5_waybel34(sK73))
    | spl891_224 ),
    inference(avatar_component_clause,[],[f23692]) ).

fof(f23694,plain,
    ( ~ spl891_223
    | ~ spl891_224 ),
    inference(avatar_split_clause,[],[f15376,f23692,f23689]) ).

fof(f23879,plain,
    k6_waybel34(sK73) = k15_functor0(k5_waybel34(sK73),k4_waybel34(sK73),k7_waybel34(sK73)),
    inference(resolution,[],[f15373,f15375]) ).

fof(f23880,plain,
    k7_waybel34(sK73) = k15_functor0(k4_waybel34(sK73),k5_waybel34(sK73),k6_waybel34(sK73)),
    inference(resolution,[],[f15374,f15375]) ).

fof(f23914,plain,
    ! [X2,X0,X1] :
      ( ~ m2_functor0(X0,X1,X2)
      | v3_struct_0(X1)
      | ~ v2_altcat_1(X1)
      | ~ v12_altcat_1(X1)
      | ~ l2_altcat_1(X1)
      | v3_struct_0(X2)
      | ~ v12_altcat_1(X2)
      | ~ l2_altcat_1(X2)
      | ~ v21_functor0(X0,X1,X2)
      | ~ v8_functor0(X0,X1,X2)
      | k12_functor0(X1) = k13_functor0(X1,X2,X1,X0,k15_functor0(X1,X2,X0))
      | v3_struct_0(X2)
      | ~ v2_altcat_1(X2)
      | ~ v12_altcat_1(X2)
      | ~ v1_altcat_2(X2)
      | ~ l2_altcat_1(X2)
      | v3_struct_0(X1)
      | ~ v2_altcat_1(X1)
      | ~ v12_altcat_1(X1)
      | ~ v1_altcat_2(X1)
      | ~ l2_altcat_1(X1) ),
    inference(resolution,[],[f16768,f16664]) ).

fof(f23915,plain,
    ! [X2,X0,X1] :
      ( ~ m2_functor0(X0,X1,X2)
      | v3_struct_0(X1)
      | ~ v2_altcat_1(X1)
      | ~ v12_altcat_1(X1)
      | ~ l2_altcat_1(X1)
      | v3_struct_0(X2)
      | ~ v12_altcat_1(X2)
      | ~ l2_altcat_1(X2)
      | ~ v21_functor0(X0,X1,X2)
      | ~ v8_functor0(X0,X1,X2)
      | k12_functor0(X1) = k13_functor0(X1,X2,X1,X0,k15_functor0(X1,X2,X0))
      | ~ v2_altcat_1(X2)
      | ~ v1_altcat_2(X2)
      | ~ v1_altcat_2(X1) ),
    inference(duplicate_literal_removal,[],[f23914]) ).

fof(f23916,plain,
    ! [X2,X0,X1] :
      ( ~ m2_functor0(X0,X1,X2)
      | v3_struct_0(X1)
      | ~ v2_altcat_1(X1)
      | ~ v12_altcat_1(X1)
      | ~ l2_altcat_1(X1)
      | v3_struct_0(X2)
      | ~ v12_altcat_1(X2)
      | ~ l2_altcat_1(X2)
      | ~ v21_functor0(X0,X1,X2)
      | k12_functor0(X1) = k13_functor0(X1,X2,X1,X0,k15_functor0(X1,X2,X0))
      | ~ v2_altcat_1(X2)
      | ~ v1_altcat_2(X2)
      | ~ v1_altcat_2(X1) ),
    inference(forward_subsumption_resolution,[],[f23915,f16574]) ).

fof(f23917,plain,
    ! [X2,X0,X1] :
      ( ~ m2_functor0(X0,X1,X2)
      | v3_struct_0(X1)
      | ~ v2_altcat_1(X1)
      | ~ v12_altcat_1(X1)
      | ~ l2_altcat_1(X1)
      | v3_struct_0(X2)
      | ~ v12_altcat_1(X2)
      | ~ l2_altcat_1(X2)
      | ~ v21_functor0(X0,X1,X2)
      | k12_functor0(X1) = k13_functor0(X1,X2,X1,X0,k15_functor0(X1,X2,X0))
      | ~ v2_altcat_1(X2)
      | ~ v1_altcat_2(X2) ),
    inference(forward_subsumption_resolution,[],[f23916,f16100]) ).

fof(f23918,plain,
    ! [X2,X0,X1] :
      ( ~ l2_altcat_1(X2)
      | v3_struct_0(X1)
      | ~ v2_altcat_1(X1)
      | ~ v12_altcat_1(X1)
      | ~ l2_altcat_1(X1)
      | v3_struct_0(X2)
      | ~ v12_altcat_1(X2)
      | ~ m2_functor0(X0,X1,X2)
      | ~ v21_functor0(X0,X1,X2)
      | k12_functor0(X1) = k13_functor0(X1,X2,X1,X0,k15_functor0(X1,X2,X0))
      | ~ v2_altcat_1(X2) ),
    inference(forward_subsumption_resolution,[],[f23917,f16100]) ).

fof(f23919,plain,
    ! [X2,X0,X1] :
      ( v3_struct_0(X0)
      | ~ v2_altcat_1(X0)
      | ~ v12_altcat_1(X0)
      | ~ l2_altcat_1(X0)
      | v3_struct_0(k5_waybel34(X1))
      | ~ v12_altcat_1(k5_waybel34(X1))
      | ~ m2_functor0(X2,X0,k5_waybel34(X1))
      | ~ v21_functor0(X2,X0,k5_waybel34(X1))
      | k12_functor0(X0) = k13_functor0(X0,k5_waybel34(X1),X0,X2,k15_functor0(X0,k5_waybel34(X1),X2))
      | ~ v2_altcat_1(k5_waybel34(X1))
      | v1_xboole_0(X1) ),
    inference(resolution,[],[f23918,f15120]) ).

fof(f23920,plain,
    ! [X2,X0,X1] :
      ( v3_struct_0(X0)
      | ~ v2_altcat_1(X0)
      | ~ v12_altcat_1(X0)
      | ~ l2_altcat_1(X0)
      | v3_struct_0(k4_waybel34(X1))
      | ~ v12_altcat_1(k4_waybel34(X1))
      | ~ m2_functor0(X2,X0,k4_waybel34(X1))
      | ~ v21_functor0(X2,X0,k4_waybel34(X1))
      | k12_functor0(X0) = k13_functor0(X0,k4_waybel34(X1),X0,X2,k15_functor0(X0,k4_waybel34(X1),X2))
      | ~ v2_altcat_1(k4_waybel34(X1))
      | v1_xboole_0(X1) ),
    inference(resolution,[],[f23918,f15113]) ).

fof(f23921,plain,
    ! [X2,X0,X1] :
      ( v3_struct_0(X0)
      | ~ v2_altcat_1(X0)
      | ~ v12_altcat_1(X0)
      | ~ l2_altcat_1(X0)
      | ~ v12_altcat_1(k4_waybel34(X1))
      | ~ m2_functor0(X2,X0,k4_waybel34(X1))
      | ~ v21_functor0(X2,X0,k4_waybel34(X1))
      | k12_functor0(X0) = k13_functor0(X0,k4_waybel34(X1),X0,X2,k15_functor0(X0,k4_waybel34(X1),X2))
      | ~ v2_altcat_1(k4_waybel34(X1))
      | v1_xboole_0(X1) ),
    inference(forward_subsumption_resolution,[],[f23920,f15119]) ).

fof(f23922,plain,
    ! [X2,X0,X1] :
      ( v3_struct_0(X0)
      | ~ v2_altcat_1(X0)
      | ~ v12_altcat_1(X0)
      | ~ l2_altcat_1(X0)
      | ~ v12_altcat_1(k5_waybel34(X1))
      | ~ m2_functor0(X2,X0,k5_waybel34(X1))
      | ~ v21_functor0(X2,X0,k5_waybel34(X1))
      | k12_functor0(X0) = k13_functor0(X0,k5_waybel34(X1),X0,X2,k15_functor0(X0,k5_waybel34(X1),X2))
      | ~ v2_altcat_1(k5_waybel34(X1))
      | v1_xboole_0(X1) ),
    inference(forward_subsumption_resolution,[],[f23919,f15126]) ).

fof(f23923,plain,
    ! [X2,X0,X1] :
      ( v3_struct_0(X0)
      | ~ v2_altcat_1(X0)
      | ~ v12_altcat_1(X0)
      | ~ l2_altcat_1(X0)
      | ~ m2_functor0(X2,X0,k4_waybel34(X1))
      | ~ v21_functor0(X2,X0,k4_waybel34(X1))
      | k12_functor0(X0) = k13_functor0(X0,k4_waybel34(X1),X0,X2,k15_functor0(X0,k4_waybel34(X1),X2))
      | ~ v2_altcat_1(k4_waybel34(X1))
      | v1_xboole_0(X1) ),
    inference(forward_subsumption_resolution,[],[f23921,f15115]) ).

fof(f23924,plain,
    ! [X2,X0,X1] :
      ( v3_struct_0(X0)
      | ~ v2_altcat_1(X0)
      | ~ v12_altcat_1(X0)
      | ~ l2_altcat_1(X0)
      | ~ m2_functor0(X2,X0,k5_waybel34(X1))
      | ~ v21_functor0(X2,X0,k5_waybel34(X1))
      | k12_functor0(X0) = k13_functor0(X0,k5_waybel34(X1),X0,X2,k15_functor0(X0,k5_waybel34(X1),X2))
      | ~ v2_altcat_1(k5_waybel34(X1))
      | v1_xboole_0(X1) ),
    inference(forward_subsumption_resolution,[],[f23922,f15122]) ).

fof(f23925,plain,
    ! [X2,X0,X1] :
      ( ~ v21_functor0(X2,X0,k4_waybel34(X1))
      | ~ v2_altcat_1(X0)
      | ~ v12_altcat_1(X0)
      | ~ l2_altcat_1(X0)
      | ~ m2_functor0(X2,X0,k4_waybel34(X1))
      | v3_struct_0(X0)
      | k12_functor0(X0) = k13_functor0(X0,k4_waybel34(X1),X0,X2,k15_functor0(X0,k4_waybel34(X1),X2))
      | v1_xboole_0(X1) ),
    inference(forward_subsumption_resolution,[],[f23923,f15118]) ).

fof(f23926,plain,
    ! [X2,X0,X1] :
      ( ~ v21_functor0(X2,X0,k5_waybel34(X1))
      | ~ v2_altcat_1(X0)
      | ~ v12_altcat_1(X0)
      | ~ l2_altcat_1(X0)
      | ~ m2_functor0(X2,X0,k5_waybel34(X1))
      | v3_struct_0(X0)
      | k12_functor0(X0) = k13_functor0(X0,k5_waybel34(X1),X0,X2,k15_functor0(X0,k5_waybel34(X1),X2))
      | v1_xboole_0(X1) ),
    inference(forward_subsumption_resolution,[],[f23924,f15125]) ).

fof(f23927,plain,
    ! [X0] :
      ( ~ v2_altcat_1(k4_waybel34(X0))
      | ~ v12_altcat_1(k4_waybel34(X0))
      | ~ l2_altcat_1(k4_waybel34(X0))
      | ~ m2_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
      | v3_struct_0(k4_waybel34(X0))
      | k12_functor0(k4_waybel34(X0)) = k13_functor0(k4_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0),k6_waybel34(X0),k15_functor0(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0)))
      | v1_xboole_0(X0)
      | v2_setfam_1(X0) ),
    inference(resolution,[],[f23926,f15357]) ).

fof(f23928,plain,
    ! [X0] :
      ( ~ v2_altcat_1(k4_waybel34(X0))
      | ~ v12_altcat_1(k4_waybel34(X0))
      | ~ m2_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
      | v3_struct_0(k4_waybel34(X0))
      | k12_functor0(k4_waybel34(X0)) = k13_functor0(k4_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0),k6_waybel34(X0),k15_functor0(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0)))
      | v1_xboole_0(X0)
      | v2_setfam_1(X0) ),
    inference(forward_subsumption_resolution,[],[f23927,f15113]) ).

fof(f23929,plain,
    ! [X0] :
      ( ~ v12_altcat_1(k4_waybel34(X0))
      | ~ m2_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
      | v3_struct_0(k4_waybel34(X0))
      | k12_functor0(k4_waybel34(X0)) = k13_functor0(k4_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0),k6_waybel34(X0),k15_functor0(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0)))
      | v1_xboole_0(X0)
      | v2_setfam_1(X0) ),
    inference(forward_subsumption_resolution,[],[f23928,f15118]) ).

fof(f23930,plain,
    ! [X0] :
      ( ~ m2_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
      | v3_struct_0(k4_waybel34(X0))
      | k12_functor0(k4_waybel34(X0)) = k13_functor0(k4_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0),k6_waybel34(X0),k15_functor0(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0)))
      | v1_xboole_0(X0)
      | v2_setfam_1(X0) ),
    inference(forward_subsumption_resolution,[],[f23929,f15115]) ).

fof(f23931,plain,
    ! [X0] :
      ( v3_struct_0(k4_waybel34(X0))
      | k12_functor0(k4_waybel34(X0)) = k13_functor0(k4_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0),k6_waybel34(X0),k15_functor0(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0)))
      | v1_xboole_0(X0)
      | v2_setfam_1(X0) ),
    inference(forward_subsumption_resolution,[],[f23930,f15127]) ).

fof(f23932,plain,
    ! [X0] :
      ( k12_functor0(k4_waybel34(X0)) = k13_functor0(k4_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0),k6_waybel34(X0),k15_functor0(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0)))
      | v1_xboole_0(X0)
      | v2_setfam_1(X0) ),
    inference(forward_subsumption_resolution,[],[f23931,f15119]) ).

fof(f23933,plain,
    ! [X0] :
      ( v2_setfam_1(X0)
      | k12_functor0(k4_waybel34(X0)) = k13_functor0(k4_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0),k6_waybel34(X0),k15_functor0(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0))) ),
    inference(forward_subsumption_resolution,[],[f23932,f15503]) ).

fof(f23934,plain,
    k12_functor0(k4_waybel34(sK73)) = k13_functor0(k4_waybel34(sK73),k5_waybel34(sK73),k4_waybel34(sK73),k6_waybel34(sK73),k15_functor0(k4_waybel34(sK73),k5_waybel34(sK73),k6_waybel34(sK73))),
    inference(resolution,[],[f23933,f15375]) ).

fof(f23935,plain,
    k13_functor0(k4_waybel34(sK73),k5_waybel34(sK73),k4_waybel34(sK73),k6_waybel34(sK73),k7_waybel34(sK73)) = k12_functor0(k4_waybel34(sK73)),
    inference(forward_demodulation,[],[f23934,f23880]) ).

fof(f23936,plain,
    ! [X0] :
      ( ~ v2_altcat_1(k5_waybel34(X0))
      | ~ v12_altcat_1(k5_waybel34(X0))
      | ~ l2_altcat_1(k5_waybel34(X0))
      | ~ m2_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
      | v3_struct_0(k5_waybel34(X0))
      | k12_functor0(k5_waybel34(X0)) = k13_functor0(k5_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0),k7_waybel34(X0),k15_functor0(k5_waybel34(X0),k4_waybel34(X0),k7_waybel34(X0)))
      | v1_xboole_0(X0)
      | v2_setfam_1(X0) ),
    inference(resolution,[],[f23925,f15365]) ).

fof(f23937,plain,
    ! [X0] :
      ( ~ v2_altcat_1(k5_waybel34(X0))
      | ~ v12_altcat_1(k5_waybel34(X0))
      | ~ m2_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
      | v3_struct_0(k5_waybel34(X0))
      | k12_functor0(k5_waybel34(X0)) = k13_functor0(k5_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0),k7_waybel34(X0),k15_functor0(k5_waybel34(X0),k4_waybel34(X0),k7_waybel34(X0)))
      | v1_xboole_0(X0)
      | v2_setfam_1(X0) ),
    inference(forward_subsumption_resolution,[],[f23936,f15120]) ).

fof(f23938,plain,
    ! [X0] :
      ( ~ v12_altcat_1(k5_waybel34(X0))
      | ~ m2_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
      | v3_struct_0(k5_waybel34(X0))
      | k12_functor0(k5_waybel34(X0)) = k13_functor0(k5_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0),k7_waybel34(X0),k15_functor0(k5_waybel34(X0),k4_waybel34(X0),k7_waybel34(X0)))
      | v1_xboole_0(X0)
      | v2_setfam_1(X0) ),
    inference(forward_subsumption_resolution,[],[f23937,f15125]) ).

fof(f23939,plain,
    ! [X0] :
      ( ~ m2_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
      | v3_struct_0(k5_waybel34(X0))
      | k12_functor0(k5_waybel34(X0)) = k13_functor0(k5_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0),k7_waybel34(X0),k15_functor0(k5_waybel34(X0),k4_waybel34(X0),k7_waybel34(X0)))
      | v1_xboole_0(X0)
      | v2_setfam_1(X0) ),
    inference(forward_subsumption_resolution,[],[f23938,f15122]) ).

fof(f23940,plain,
    ! [X0] :
      ( v3_struct_0(k5_waybel34(X0))
      | k12_functor0(k5_waybel34(X0)) = k13_functor0(k5_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0),k7_waybel34(X0),k15_functor0(k5_waybel34(X0),k4_waybel34(X0),k7_waybel34(X0)))
      | v1_xboole_0(X0)
      | v2_setfam_1(X0) ),
    inference(forward_subsumption_resolution,[],[f23939,f15130]) ).

fof(f23941,plain,
    ! [X0] :
      ( k12_functor0(k5_waybel34(X0)) = k13_functor0(k5_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0),k7_waybel34(X0),k15_functor0(k5_waybel34(X0),k4_waybel34(X0),k7_waybel34(X0)))
      | v1_xboole_0(X0)
      | v2_setfam_1(X0) ),
    inference(forward_subsumption_resolution,[],[f23940,f15126]) ).

fof(f23942,plain,
    ! [X0] :
      ( v2_setfam_1(X0)
      | k12_functor0(k5_waybel34(X0)) = k13_functor0(k5_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0),k7_waybel34(X0),k15_functor0(k5_waybel34(X0),k4_waybel34(X0),k7_waybel34(X0))) ),
    inference(forward_subsumption_resolution,[],[f23941,f15503]) ).

fof(f23943,plain,
    k12_functor0(k5_waybel34(sK73)) = k13_functor0(k5_waybel34(sK73),k4_waybel34(sK73),k5_waybel34(sK73),k7_waybel34(sK73),k15_functor0(k5_waybel34(sK73),k4_waybel34(sK73),k7_waybel34(sK73))),
    inference(resolution,[],[f23942,f15375]) ).

fof(f23944,plain,
    k13_functor0(k5_waybel34(sK73),k4_waybel34(sK73),k5_waybel34(sK73),k7_waybel34(sK73),k6_waybel34(sK73)) = k12_functor0(k5_waybel34(sK73)),
    inference(forward_demodulation,[],[f23943,f23879]) ).

fof(f23945,plain,
    ( $false
    | spl891_224 ),
    inference(forward_subsumption_resolution,[],[f23944,f23693]) ).

fof(f23946,plain,
    spl891_224,
    inference(avatar_contradiction_clause,[],[f23945]) ).

fof(f23947,plain,
    ( $false
    | spl891_223 ),
    inference(forward_subsumption_resolution,[],[f23690,f23935]) ).

fof(f23948,plain,
    spl891_223,
    inference(avatar_contradiction_clause,[],[f23947]) ).

cnf(s180,plain,
    ( ~ spl891_223
    | ~ spl891_224 ),
    inference(sat_conversion,[],[f23694]) ).

cnf(s184,plain,
    spl891_224,
    inference(sat_conversion,[],[f23946]) ).

cnf(s185,plain,
    spl891_223,
    inference(sat_conversion,[],[f23948]) ).

cnf(s186,plain,
    $false,
    inference(rat,[],[s180,s184,s185]) ).

fof(f23949,plain,
    $false,
    inference(avatar_sat_refutation,[],[s186]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : LAT361+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.10  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.22/0.47  % Computer : n017.cluster.edu
% 0.22/0.47  % Model    : x86_64 x86_64
% 0.22/0.47  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.22/0.47  % Memory   : 8046.5625MB
% 0.22/0.47  % OS       : Linux 6.8.0-71-generic
% 0.22/0.47  % CPULimit : 300
% 0.22/0.47  % WCLimit  : 300
% 0.22/0.47  % DateTime : Sun Sep 27 14:56:21 UTC 2026
% 0.22/0.48  % CPUTime  : 
% 0.22/0.48  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.25/0.54  Running first-order theorem proving
% 0.25/0.54  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 24.86/5.09  % (2670721)Detected formulas, will run a generic FOF schedule.
% 24.86/5.09  % (2670731)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2244706694:s2a=on:i=139:gtg=position_2994 on theBenchmark for (2994ds/139Mi)
% 24.86/5.09  % (2670729)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4109666134:i=109:sd=1:ins=1:gsp=on:ss=axioms_2994 on theBenchmark for (2994ds/109Mi)
% 24.86/5.09  % (2670728)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=4135126548:i=141695:sd=1:nm=32:gsp=on:ss=included_2994 on theBenchmark for (2994ds/141695Mi)
% 24.86/5.09  % (2670726)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=4057249973:i=141193_2994 on theBenchmark for (2994ds/141193Mi)
% 24.86/5.09  % (2670732)dis-21_1_sil=8000:lcm=predicate:random_seed=745441484:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2994 on theBenchmark for (2994ds/129Mi)
% 24.86/5.09  % (2670730)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1912401489:i=119:av=off:ss=axioms_2994 on theBenchmark for (2994ds/119Mi)
% 24.86/5.09  % (2670727)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2707483835:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2994 on theBenchmark for (2994ds/134677Mi)
% 24.86/5.09  % (2670731)Instruction limit reached! 
% 24.86/5.09  % (2670731)------------------------------
% 24.86/5.09  % (2670731)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.86/5.09  % (2670731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.86/5.09  % (2670731)CaDiCaL version: 2.1.3
% 24.86/5.09  % (2670731)Termination reason: Instruction limit
% 24.86/5.09  % (2670731)Termination phase: Property scanning
% 24.86/5.09  % (2670731)Time elapsed: 0.061 s
% 24.86/5.09  % (2670731)Peak memory usage: 99 MB
% 24.86/5.09  % (2670731)Instructions burned: 140 (million)
% 24.86/5.09  % (2670729)Refutation not found, incomplete strategy
% 24.86/5.09  % (2670729)------------------------------
% 24.86/5.09  % (2670729)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.86/5.09  % (2670729)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.86/5.09  % (2670729)CaDiCaL version: 2.1.3
% 24.86/5.09  % (2670729)Termination reason: Refutation not found, incomplete strategy
% 24.86/5.09  % (2670729)Time elapsed: 0.103 s
% 24.86/5.09  % (2670729)Peak memory usage: 103 MB
% 24.86/5.09  % (2670729)Instructions burned: 88 (million)
% 24.86/5.09  % (2670730)Instruction limit reached! 
% 24.86/5.09  % (2670730)------------------------------
% 24.86/5.09  % (2670730)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.86/5.09  % (2670730)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.86/5.09  % (2670730)CaDiCaL version: 2.1.3
% 24.86/5.09  % (2670730)Termination reason: Instruction limit
% 24.86/5.09  % (2670730)Termination phase: Preprocessing 3
% 24.86/5.09  % (2670730)Time elapsed: 0.149 s
% 24.86/5.09  % (2670730)Peak memory usage: 102 MB
% 24.86/5.09  % (2670730)Instructions burned: 119 (million)
% 24.86/5.09  % (2670732)Instruction limit reached! 
% 24.86/5.09  % (2670732)------------------------------
% 24.86/5.09  % (2670732)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.86/5.09  % (2670732)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.86/5.09  % (2670732)CaDiCaL version: 2.1.3
% 24.86/5.09  % (2670732)Termination reason: Instruction limit
% 24.86/5.09  % (2670732)Termination phase: Preprocessing 1
% 24.86/5.09  % (2670732)Time elapsed: 0.150 s
% 24.86/5.09  % (2670732)Peak memory usage: 100 MB
% 24.86/5.09  % (2670732)Instructions burned: 129 (million)
% 24.86/5.09  % (2670740)lrs+10_1_sil=8000:sp=occurrence:random_seed=1315661462:i=285:sd=3:ss=axioms:sgt=8_2991 on theBenchmark for (2991ds/285Mi)
% 24.86/5.09  % (2670741)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3714273760:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2990 on theBenchmark for (2990ds/157Mi)
% 24.86/5.09  % (2670742)lrs+1011_1_sil=32000:sp=occurrence:random_seed=59538598:i=325:sd=1:ss=axioms:sgt=32_2990 on theBenchmark for (2990ds/325Mi)
% 24.86/5.09  % (2670740)Instruction limit reached! 
% 24.86/5.09  % (2670740)------------------------------
% 24.86/5.09  % (2670740)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.86/5.09  % (2670740)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.44/6.55  % (2670740)CaDiCaL version: 2.1.3
% 19.44/6.55  % (2670740)Termination reason: Instruction limit
% 19.44/6.55  % (2670740)Termination phase: Saturation
% 19.44/6.55  % (2670740)Time elapsed: 0.168 s
% 19.44/6.55  % (2670740)Peak memory usage: 107 MB
% 19.44/6.55  % (2670740)Instructions burned: 285 (million)
% 19.44/6.55  % (2670729)------------------------------
% 19.44/6.55  % (2670729)------------------------------
% 19.44/6.55  % (2670741)Instruction limit reached! 
% 19.44/6.55  % (2670741)------------------------------
% 19.44/6.55  % (2670741)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.44/6.55  % (2670741)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.44/6.55  % (2670741)CaDiCaL version: 2.1.3
% 19.44/6.55  % (2670741)Termination reason: Instruction limit
% 19.44/6.55  % (2670741)Termination phase: SInE selection
% 19.44/6.55  % (2670741)Time elapsed: 0.135 s
% 19.44/6.55  % (2670741)Peak memory usage: 99 MB
% 19.44/6.55  % (2670741)Instructions burned: 157 (million)
% 19.44/6.55  % (2670746)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=602609964:s2a=on:i=248:s2at=1.23:gtg=position_2986 on theBenchmark for (2986ds/248Mi)
% 19.44/6.55  % (2670747)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=4219400133:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2986 on theBenchmark for (2986ds/294Mi)
% 19.44/6.55  % (2670742)Instruction limit reached! 
% 19.44/6.55  % (2670742)------------------------------
% 19.44/6.55  % (2670742)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.44/6.55  % (2670742)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.44/6.55  % (2670742)CaDiCaL version: 2.1.3
% 19.44/6.55  % (2670742)Termination reason: Instruction limit
% 19.44/6.55  % (2670742)Termination phase: Saturation
% 19.44/6.55  % (2670742)Time elapsed: 0.365 s
% 19.44/6.55  % (2670742)Peak memory usage: 106 MB
% 19.44/6.55  % (2670742)Instructions burned: 326 (million)
% 19.44/6.55  % (2670746)Instruction limit reached! 
% 19.44/6.55  % (2670746)------------------------------
% 19.44/6.55  % (2670746)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.44/6.55  % (2670746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.44/6.55  % (2670746)CaDiCaL version: 2.1.3
% 19.44/6.55  % (2670746)Termination reason: Instruction limit
% 19.44/6.55  % (2670746)Termination phase: Preprocessing 1
% 19.44/6.55  % (2670746)Time elapsed: 0.134 s
% 19.44/6.55  % (2670746)Peak memory usage: 100 MB
% 19.44/6.55  % (2670746)Instructions burned: 249 (million)
% 19.44/6.55  % (2670748)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1397069302:i=2350_2985 on theBenchmark for (2985ds/2350Mi)
% 19.44/6.55  % (2670752)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2086028170:i=127:av=off:fsr=off:sup=off_2983 on theBenchmark for (2983ds/127Mi)
% 19.44/6.55  % (2670747)Instruction limit reached! 
% 19.44/6.55  % (2670747)------------------------------
% 19.44/6.55  % (2670747)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.44/6.55  % (2670747)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.44/6.55  % (2670747)CaDiCaL version: 2.1.3
% 19.44/6.55  % (2670747)Termination reason: Instruction limit
% 19.44/6.55  % (2670747)Termination phase: Saturation
% 19.44/6.55  % (2670747)Time elapsed: 0.309 s
% 19.44/6.55  % (2670747)Peak memory usage: 107 MB
% 19.44/6.55  % (2670747)Instructions burned: 294 (million)
% 19.44/6.55  % (2670751)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3875238286:cts=off:i=113:fsr=off:ss=included:sgt=4_2983 on theBenchmark for (2983ds/113Mi)
% 19.44/6.55  % (2670752)Instruction limit reached! 
% 19.44/6.55  % (2670752)------------------------------
% 19.44/6.55  % (2670752)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.44/6.55  % (2670752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.44/6.55  % (2670752)CaDiCaL version: 2.1.3
% 19.44/6.55  % (2670752)Termination reason: Instruction limit
% 19.44/6.55  % (2670752)Termination phase: Preprocessing 2
% 19.44/6.55  % (2670752)Time elapsed: 0.099 s
% 19.44/6.55  % (2670752)Peak memory usage: 107 MB
% 19.44/6.55  % (2670752)Instructions burned: 130 (million)
% 19.44/6.55  % (2670751)Instruction limit reached! 
% 19.44/6.55  % (2670751)------------------------------
% 19.44/6.55  % (2670751)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.44/6.55  % (2670751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.44/6.55  % (2670751)CaDiCaL version: 2.1.3
% 19.44/6.55  % (2670751)Termination reason: Instruction limit
% 19.44/6.55  % (2670751)Termination phase: Preprocessing 3
% 19.44/6.55  % (2670751)Time elapsed: 0.148 s
% 19.44/6.55  % (2670751)Peak memory usage: 102 MB
% 19.44/6.55  % (2670751)Instructions burned: 113 (million)
% 19.44/6.55  % (2670755)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=812590429:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2980 on theBenchmark for (2980ds/114Mi)
% 19.44/6.55  % (2670757)lrs+10_1_sil=8000:sp=occurrence:random_seed=4160585741:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2979 on theBenchmark for (2979ds/907Mi)
% 19.44/6.55  % (2670755)Instruction limit reached! 
% 19.44/6.55  % (2670755)------------------------------
% 19.44/6.55  % (2670755)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.44/6.55  % (2670755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.44/6.55  % (2670755)CaDiCaL version: 2.1.3
% 19.44/6.55  % (2670755)Termination reason: Instruction limit
% 19.44/6.55  % (2670755)Termination phase: Property scanning
% 19.44/6.55  % (2670755)Time elapsed: 0.098 s
% 19.44/6.55  % (2670755)Peak memory usage: 99 MB
% 19.44/6.55  % (2670755)Instructions burned: 114 (million)
% 19.44/6.55  % (2670758)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1729545800:i=437:sd=1:aac=none:ss=included_2978 on theBenchmark for (2978ds/437Mi)
% 19.44/6.55  % (2670758)Refutation not found, incomplete strategy
% 19.44/6.55  % (2670758)------------------------------
% 19.44/6.55  % (2670758)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.44/6.55  % (2670758)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.44/6.55  % (2670758)CaDiCaL version: 2.1.3
% 19.44/6.55  % (2670758)Termination reason: Refutation not found, incomplete strategy
% 19.44/6.55  % (2670758)Time elapsed: 0.175 s
% 19.44/6.55  % (2670758)Peak memory usage: 105 MB
% 19.44/6.55  % (2670758)Instructions burned: 158 (million)
% 19.44/6.55  % (2670761)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1531906648:i=5202:ss=axioms:sgt=16_2976 on theBenchmark for (2976ds/5202Mi)
% 19.44/6.55  % (2670757)Instruction limit reached! 
% 19.44/6.55  % (2670757)------------------------------
% 19.44/6.55  % (2670757)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.44/6.55  % (2670757)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.44/6.55  % (2670757)CaDiCaL version: 2.1.3
% 19.44/6.55  % (2670757)Termination reason: Instruction limit
% 19.44/6.55  % (2670757)Termination phase: Saturation
% 19.44/6.55  % (2670757)Time elapsed: 0.486 s
% 19.44/6.55  % (2670757)Peak memory usage: 121 MB
% 19.44/6.55  % (2670757)Instructions burned: 909 (million)
% 19.44/6.55  % (2670764)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3155376237:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2972 on theBenchmark for (2972ds/134Mi)
% 19.44/6.55  % (2670758)------------------------------
% 19.44/6.55  % (2670758)------------------------------
% 19.44/6.55  % (2670764)Instruction limit reached! 
% 19.44/6.55  % (2670764)------------------------------
% 19.44/6.55  % (2670764)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.44/6.55  % (2670764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.44/6.55  % (2670764)CaDiCaL version: 2.1.3
% 19.44/6.55  % (2670764)Termination reason: Instruction limit
% 19.44/6.55  % (2670764)Termination phase: Property scanning
% 19.44/6.55  % (2670764)Time elapsed: 0.094 s
% 19.44/6.55  % (2670764)Peak memory usage: 104 MB
% 19.44/6.55  % (2670764)Instructions burned: 137 (million)
% 19.44/6.55  % (2670767)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3593054983:st=3:i=13193:sd=3:ss=axioms_2969 on theBenchmark for (2969ds/13193Mi)
% 19.44/6.55  % (2670766)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=203318676:st=8:i=592:sd=3:ep=RST:ss=axioms_2969 on theBenchmark for (2969ds/592Mi)
% 19.44/6.55  % (2670766)Instruction limit reached! 
% 19.44/6.55  % (2670766)------------------------------
% 19.44/6.55  % (2670766)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.44/6.55  % (2670766)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.44/6.55  % (2670766)CaDiCaL version: 2.1.3
% 19.44/6.55  % (2670766)Termination reason: Instruction limit
% 19.44/6.55  % (2670766)Termination phase: Property scanning
% 19.44/6.55  % (2670766)Time elapsed: 0.601 s
% 19.44/6.55  % (2670766)Peak memory usage: 116 MB
% 19.44/6.55  % (2670766)Instructions burned: 592 (million)
% 19.44/6.55  % (2670770)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=4251274748:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2960 on theBenchmark for (2960ds/125Mi)
% 19.44/6.55  % (2670770)Instruction limit reached! 
% 19.44/6.55  % (2670770)------------------------------
% 19.44/6.55  % (2670770)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.44/6.55  % (2670770)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.44/6.55  % (2670770)CaDiCaL version: 2.1.3
% 19.44/6.55  % (2670770)Termination reason: Instruction limit
% 19.44/6.55  % (2670770)Termination phase: Property scanning
% 19.44/6.55  % (2670770)Time elapsed: 0.105 s
% 19.44/6.55  % (2670770)Peak memory usage: 99 MB
% 19.44/6.55  % (2670770)Instructions burned: 125 (million)
% 19.44/6.55  % (2670748)Instruction limit reached! 
% 19.44/6.55  % (2670748)------------------------------
% 19.44/6.55  % (2670748)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.44/6.55  % (2670748)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.44/6.55  % (2670748)CaDiCaL version: 2.1.3
% 19.44/6.55  % (2670748)Termination reason: Instruction limit
% 19.44/6.55  % (2670748)Termination phase: Saturation
% 19.44/6.55  % (2670748)Time elapsed: 2.639 s
% 19.44/6.55  % (2670748)Peak memory usage: 279 MB
% 19.44/6.55  % (2670748)Instructions burned: 2352 (million)
% 19.44/6.55  % (2670772)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=3178798658:i=134:gtgl=5:slsql=off:gtg=exists_sym_2956 on theBenchmark for (2956ds/134Mi)
% 19.44/6.55  % (2670773)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=594212092:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2955 on theBenchmark for (2955ds/141Mi)
% 19.44/6.55  % (2670772)Instruction limit reached! 
% 19.44/6.55  % (2670772)------------------------------
% 19.44/6.55  % (2670772)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.44/6.55  % (2670772)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.44/6.55  % (2670772)CaDiCaL version: 2.1.3
% 19.44/6.55  % (2670772)Termination reason: Instruction limit
% 19.44/6.55  % (2670772)Termination phase: Property scanning
% 19.44/6.55  % (2670772)Time elapsed: 0.113 s
% 19.44/6.55  % (2670772)Peak memory usage: 99 MB
% 19.44/6.55  % (2670772)Instructions burned: 135 (million)
% 19.44/6.55  % (2670773)Refutation not found, incomplete strategy
% 19.44/6.55  % (2670773)------------------------------
% 19.44/6.55  % (2670773)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.44/6.55  % (2670773)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.44/6.55  % (2670773)CaDiCaL version: 2.1.3
% 19.44/6.55  % (2670773)Termination reason: Refutation not found, incomplete strategy
% 19.44/6.55  % (2670773)Time elapsed: 0.102 s
% 19.44/6.55  % (2670773)Peak memory usage: 104 MB
% 19.44/6.55  % (2670773)Instructions burned: 84 (million)
% 19.44/6.55  % (2670727)First to succeed.
% 19.44/6.55  % (2670727)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2670721"
% 19.44/6.55  % (2670776)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=3643896782:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2952 on theBenchmark for (2952ds/431Mi)
% 19.44/6.55  % (2670773)------------------------------
% 19.44/6.55  % (2670773)------------------------------
% 19.44/6.55  % (2670727)Refutation found. Thanks to Tanya!
% 19.44/6.55  % SZS status Theorem for theBenchmark
% 19.44/6.55  % SZS output start Proof for theBenchmark
% See solution above
% 35.17/6.77  % (2670727)------------------------------
% 35.17/6.77  % (2670727)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.17/6.77  % (2670727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.17/6.77  % (2670727)CaDiCaL version: 2.1.3
% 35.17/6.77  % (2670727)Termination reason: Refutation
% 35.17/6.77  % (2670727)Time elapsed: 3.982 s
% 35.17/6.77  % (2670727)Peak memory usage: 231 MB
% 35.17/6.77  % (2670727)Instructions burned: 3977 (million)
% 35.17/6.77  % (2670727)------------------------------
% 35.17/6.77  % (2670727)------------------------------
% 35.17/6.77  % (2670721)Success in time 5.365 s
% 35.17/6.77  % Vampire exiting
%------------------------------------------------------------------------------