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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : KRS116+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n001.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 11:41:41 AM UTC 2026

% Result   : Unsatisfiable 2.26s 1.19s
% Output   : Refutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   30
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   96 (   8 unt;   1 def)
%            Number of atoms       :  303 (   0 equ)
%            Maximal formula atoms :   13 (   3 avg)
%            Number of connectives :  345 ( 138   ~; 114   |;  41   &)
%                                         (  13 <=>;  39  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   20 (  19 usr;   2 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   1 con; 0-1 aty)
%            Number of variables   :  193 (   0 sgn 172   !;  21   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3,axiom,
    ! [X0] :
      ( cUnsatisfiable(X0)
     => ca(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).

fof(f4,axiom,
    ! [X0] :
      ( cUnsatisfiable(X0)
     => ? [X1] :
          ( rs(X0,X1)
          & ca_Ax2(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).

fof(f5,axiom,
    ! [X0] :
      ( ca(X0)
    <=> ~ ? [X1] : ra_Px1(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).

fof(f6,axiom,
    ! [X0] :
      ( caxcomp(X0)
    <=> ? [X1] : ra_Px1(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).

fof(f7,axiom,
    ! [X0] :
      ( cc(X0)
    <=> ! [X1] :
          ( rinvR(X0,X1)
         => ca_Vx7(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).

fof(f8,axiom,
    ! [X0] :
      ( ca_Ax2(X0)
    <=> ( ! [X1] :
            ( rp(X0,X1)
           => ca_Vx3(X1) )
        & ! [X1] :
            ( rp(X0,X1)
           => ca_Vx5(X1) )
        & ! [X1] :
            ( rr(X0,X1)
           => cc(X1) )
        & ? [X1] :
            ( rr(X0,X1)
            & cowlThing(X1) )
        & ? [X1] :
            ( rp(X0,X1)
            & cowlThing(X1) )
        & ! [X1] :
            ( rp(X0,X1)
           => ca_Vx4(X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).

fof(f9,axiom,
    ! [X0] :
      ( ca_Vx3(X0)
    <=> ? [X1] :
          ( rr(X0,X1)
          & cowlThing(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).

fof(f11,axiom,
    ! [X0] :
      ( ca_Vx5(X0)
    <=> ! [X1] :
          ( rr(X0,X1)
         => cc(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_10) ).

fof(f12,axiom,
    ! [X0] :
      ( ca_Vx6(X0)
    <=> ! [X1] :
          ( rinvS(X0,X1)
         => caxcomp(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_11) ).

fof(f13,axiom,
    ! [X0] :
      ( ca_Vx7(X0)
    <=> ! [X1] :
          ( rinvP(X0,X1)
         => ca_Vx6(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_12) ).

fof(f14,axiom,
    ! [X0,X1] :
      ( rinvP(X0,X1)
    <=> rp(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_13) ).

fof(f15,axiom,
    ! [X0,X1] :
      ( rinvR(X0,X1)
    <=> rr(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_14) ).

fof(f16,axiom,
    ! [X0,X1] :
      ( rinvS(X0,X1)
    <=> rs(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_15) ).

fof(f18,axiom,
    cUnsatisfiable(i2003_11_14_17_21_33997),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_17) ).

fof(f19,plain,
    ! [X0] :
      ( ca_Ax2(X0)
    <=> ( ! [X1] :
            ( rp(X0,X1)
           => ca_Vx3(X1) )
        & ! [X2] :
            ( rp(X0,X2)
           => ca_Vx5(X2) )
        & ! [X3] :
            ( rr(X0,X3)
           => cc(X3) )
        & ? [X4] :
            ( rr(X0,X4)
            & cowlThing(X4) )
        & ? [X5] :
            ( rp(X0,X5)
            & cowlThing(X5) )
        & ! [X6] :
            ( rp(X0,X6)
           => ca_Vx4(X6) ) ) ),
    inference(rectify,[],[f8]) ).

fof(f20,plain,
    ! [X0] :
      ( ca_Ax2(X0)
     => ( ! [X1] :
            ( rp(X0,X1)
           => ca_Vx3(X1) )
        & ! [X2] :
            ( rp(X0,X2)
           => ca_Vx5(X2) )
        & ! [X3] :
            ( rr(X0,X3)
           => cc(X3) )
        & ? [X4] :
            ( rr(X0,X4)
            & cowlThing(X4) )
        & ? [X5] :
            ( rp(X0,X5)
            & cowlThing(X5) )
        & ! [X6] :
            ( rp(X0,X6)
           => ca_Vx4(X6) ) ) ),
    inference(unused_predicate_definition_removal,[],[f19]) ).

fof(f21,plain,
    ! [X0] :
      ( ca_Vx3(X0)
     => ? [X1] :
          ( rr(X0,X1)
          & cowlThing(X1) ) ),
    inference(unused_predicate_definition_removal,[],[f9]) ).

fof(f22,plain,
    ! [X0] :
      ( ca_Vx5(X0)
     => ! [X1] :
          ( rr(X0,X1)
         => cc(X1) ) ),
    inference(unused_predicate_definition_removal,[],[f11]) ).

fof(f23,plain,
    ! [X0] :
      ( cc(X0)
     => ! [X1] :
          ( rinvR(X0,X1)
         => ca_Vx7(X1) ) ),
    inference(unused_predicate_definition_removal,[],[f7]) ).

fof(f24,plain,
    ! [X0] :
      ( ca_Vx7(X0)
     => ! [X1] :
          ( rinvP(X0,X1)
         => ca_Vx6(X1) ) ),
    inference(unused_predicate_definition_removal,[],[f13]) ).

fof(f25,plain,
    ! [X0] :
      ( ca_Vx6(X0)
     => ! [X1] :
          ( rinvS(X0,X1)
         => caxcomp(X1) ) ),
    inference(unused_predicate_definition_removal,[],[f12]) ).

fof(f26,plain,
    ! [X0] :
      ( caxcomp(X0)
     => ? [X1] : ra_Px1(X0,X1) ),
    inference(unused_predicate_definition_removal,[],[f6]) ).

fof(f27,plain,
    ! [X0,X1] :
      ( rs(X1,X0)
     => rinvS(X0,X1) ),
    inference(unused_predicate_definition_removal,[],[f16]) ).

fof(f28,plain,
    ! [X0,X1] :
      ( rp(X1,X0)
     => rinvP(X0,X1) ),
    inference(unused_predicate_definition_removal,[],[f14]) ).

fof(f29,plain,
    ! [X0,X1] :
      ( rr(X1,X0)
     => rinvR(X0,X1) ),
    inference(unused_predicate_definition_removal,[],[f15]) ).

fof(f31,plain,
    ! [X0] :
      ( ca(X0)
     => ~ ? [X1] : ra_Px1(X0,X1) ),
    inference(unused_predicate_definition_removal,[],[f5]) ).

fof(f32,plain,
    ! [X0] :
      ( ca_Ax2(X0)
     => ( ! [X1] :
            ( rp(X0,X1)
           => ca_Vx3(X1) )
        & ! [X2] :
            ( rp(X0,X2)
           => ca_Vx5(X2) )
        & ! [X3] :
            ( rr(X0,X3)
           => cc(X3) )
        & ? [X4] : rr(X0,X4)
        & ? [X5] : rp(X0,X5)
        & ! [X6] :
            ( rp(X0,X6)
           => ca_Vx4(X6) ) ) ),
    inference(pure_predicate_removal,[],[f20]) ).

fof(f35,plain,
    ! [X0] :
      ( ca_Vx3(X0)
     => ? [X1] : rr(X0,X1) ),
    inference(pure_predicate_removal,[],[f21]) ).

fof(f37,plain,
    ! [X0] :
      ( ca(X0)
      | ~ cUnsatisfiable(X0) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f38,plain,
    ! [X0] :
      ( ? [X1] :
          ( rs(X0,X1)
          & ca_Ax2(X1) )
      | ~ cUnsatisfiable(X0) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f39,plain,
    ! [X0] :
      ( ! [X1] : ~ ra_Px1(X0,X1)
      | ~ ca(X0) ),
    inference(ennf_transformation,[],[f31]) ).

fof(f40,plain,
    ! [X0] :
      ( ? [X1] : ra_Px1(X0,X1)
      | ~ caxcomp(X0) ),
    inference(ennf_transformation,[],[f26]) ).

fof(f41,plain,
    ! [X0] :
      ( ! [X1] :
          ( ca_Vx7(X1)
          | ~ rinvR(X0,X1) )
      | ~ cc(X0) ),
    inference(ennf_transformation,[],[f23]) ).

fof(f42,plain,
    ! [X0] :
      ( ( ! [X1] :
            ( ca_Vx3(X1)
            | ~ rp(X0,X1) )
        & ! [X2] :
            ( ca_Vx5(X2)
            | ~ rp(X0,X2) )
        & ! [X3] :
            ( cc(X3)
            | ~ rr(X0,X3) )
        & ? [X4] : rr(X0,X4)
        & ? [X5] : rp(X0,X5)
        & ! [X6] :
            ( ca_Vx4(X6)
            | ~ rp(X0,X6) ) )
      | ~ ca_Ax2(X0) ),
    inference(ennf_transformation,[],[f32]) ).

fof(f43,plain,
    ! [X0] :
      ( ? [X1] : rr(X0,X1)
      | ~ ca_Vx3(X0) ),
    inference(ennf_transformation,[],[f35]) ).

fof(f45,plain,
    ! [X0] :
      ( ! [X1] :
          ( cc(X1)
          | ~ rr(X0,X1) )
      | ~ ca_Vx5(X0) ),
    inference(ennf_transformation,[],[f22]) ).

fof(f46,plain,
    ! [X0] :
      ( ! [X1] :
          ( caxcomp(X1)
          | ~ rinvS(X0,X1) )
      | ~ ca_Vx6(X0) ),
    inference(ennf_transformation,[],[f25]) ).

fof(f47,plain,
    ! [X0] :
      ( ! [X1] :
          ( ca_Vx6(X1)
          | ~ rinvP(X0,X1) )
      | ~ ca_Vx7(X0) ),
    inference(ennf_transformation,[],[f24]) ).

fof(f48,plain,
    ! [X0,X1] :
      ( rinvP(X0,X1)
      | ~ rp(X1,X0) ),
    inference(ennf_transformation,[],[f28]) ).

fof(f49,plain,
    ! [X0,X1] :
      ( rinvR(X0,X1)
      | ~ rr(X1,X0) ),
    inference(ennf_transformation,[],[f29]) ).

fof(f50,plain,
    ! [X0,X1] :
      ( rinvS(X0,X1)
      | ~ rs(X1,X0) ),
    inference(ennf_transformation,[],[f27]) ).

fof(f53,plain,
    ! [X0] :
      ( ( rs(X0,sK0(X0))
        & ca_Ax2(sK0(X0)) )
      | ~ cUnsatisfiable(X0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X1,sK0(X0))],[f38]) ).

fof(f54,plain,
    ! [X0] :
      ( ra_Px1(X0,sK1(X0))
      | ~ caxcomp(X0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X1,sK1(X0))],[f40]) ).

fof(f55,plain,
    ! [X0] :
      ( ( ! [X1] :
            ( ca_Vx3(X1)
            | ~ rp(X0,X1) )
        & ! [X2] :
            ( ca_Vx5(X2)
            | ~ rp(X0,X2) )
        & ! [X3] :
            ( cc(X3)
            | ~ rr(X0,X3) )
        & rr(X0,sK2(X0))
        & rp(X0,sK3(X0))
        & ! [X6] :
            ( ca_Vx4(X6)
            | ~ rp(X0,X6) ) )
      | ~ ca_Ax2(X0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3]),skolemize(X4,sK2(X0)),skolemize(X5,sK3(X0))],[f42]) ).

fof(f56,plain,
    ! [X0] :
      ( rr(X0,sK4(X0))
      | ~ ca_Vx3(X0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X1,sK4(X0))],[f43]) ).

fof(f58,plain,
    ! [X0] :
      ( ca(X0)
      | ~ cUnsatisfiable(X0) ),
    inference(cnf_transformation,[],[f37]) ).

fof(f59,plain,
    ! [X0] :
      ( ca_Ax2(sK0(X0))
      | ~ cUnsatisfiable(X0) ),
    inference(cnf_transformation,[],[f53]) ).

fof(f60,plain,
    ! [X0] :
      ( rs(X0,sK0(X0))
      | ~ cUnsatisfiable(X0) ),
    inference(cnf_transformation,[],[f53]) ).

fof(f61,plain,
    ! [X0,X1] :
      ( ~ ra_Px1(X0,X1)
      | ~ ca(X0) ),
    inference(cnf_transformation,[],[f39]) ).

fof(f62,plain,
    ! [X0] :
      ( ~ caxcomp(X0)
      | ra_Px1(X0,sK1(X0)) ),
    inference(cnf_transformation,[],[f54]) ).

fof(f63,plain,
    ! [X0,X1] :
      ( ca_Vx7(X1)
      | ~ rinvR(X0,X1)
      | ~ cc(X0) ),
    inference(cnf_transformation,[],[f41]) ).

fof(f65,plain,
    ! [X0] :
      ( rp(X0,sK3(X0))
      | ~ ca_Ax2(X0) ),
    inference(cnf_transformation,[],[f55]) ).

fof(f68,plain,
    ! [X2,X0] :
      ( ca_Vx5(X2)
      | ~ rp(X0,X2)
      | ~ ca_Ax2(X0) ),
    inference(cnf_transformation,[],[f55]) ).

fof(f69,plain,
    ! [X0,X1] :
      ( ca_Vx3(X1)
      | ~ rp(X0,X1)
      | ~ ca_Ax2(X0) ),
    inference(cnf_transformation,[],[f55]) ).

fof(f70,plain,
    ! [X0] :
      ( rr(X0,sK4(X0))
      | ~ ca_Vx3(X0) ),
    inference(cnf_transformation,[],[f56]) ).

fof(f72,plain,
    ! [X0,X1] :
      ( cc(X1)
      | ~ rr(X0,X1)
      | ~ ca_Vx5(X0) ),
    inference(cnf_transformation,[],[f45]) ).

fof(f73,plain,
    ! [X0,X1] :
      ( ~ ca_Vx6(X0)
      | ~ rinvS(X0,X1)
      | caxcomp(X1) ),
    inference(cnf_transformation,[],[f46]) ).

fof(f74,plain,
    ! [X0,X1] :
      ( ca_Vx6(X1)
      | ~ rinvP(X0,X1)
      | ~ ca_Vx7(X0) ),
    inference(cnf_transformation,[],[f47]) ).

fof(f75,plain,
    ! [X0,X1] :
      ( rinvP(X0,X1)
      | ~ rp(X1,X0) ),
    inference(cnf_transformation,[],[f48]) ).

fof(f76,plain,
    ! [X0,X1] :
      ( rinvR(X0,X1)
      | ~ rr(X1,X0) ),
    inference(cnf_transformation,[],[f49]) ).

fof(f77,plain,
    ! [X0,X1] :
      ( rinvS(X0,X1)
      | ~ rs(X1,X0) ),
    inference(cnf_transformation,[],[f50]) ).

fof(f79,plain,
    cUnsatisfiable(i2003_11_14_17_21_33997),
    inference(cnf_transformation,[],[f18]) ).

fof(f81,plain,
    ! [X2,X0,X1] :
      ( ~ ca_Vx7(X0)
      | ~ rinvP(X0,X1)
      | ~ rinvS(X1,X2)
      | caxcomp(X2) ),
    inference(resolution,[],[f74,f73]) ).

fof(f82,plain,
    ! [X2,X3,X0,X1] :
      ( caxcomp(X2)
      | ~ rinvS(X1,X2)
      | ~ rinvP(X0,X1)
      | ~ rinvR(X3,X0)
      | ~ cc(X3) ),
    inference(resolution,[],[f81,f63]) ).

fof(f83,plain,
    ! [X2,X3,X0,X1] :
      ( ra_Px1(X1,sK1(X1))
      | ~ rinvP(X2,X0)
      | ~ rinvR(X3,X2)
      | ~ cc(X3)
      | ~ rinvS(X0,X1) ),
    inference(resolution,[],[f82,f62]) ).

fof(f84,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ca(X3)
      | ~ rinvR(X2,X0)
      | ~ cc(X2)
      | ~ rinvS(X1,X3)
      | ~ rinvP(X0,X1) ),
    inference(resolution,[],[f83,f61]) ).

fof(f85,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cUnsatisfiable(X3)
      | ~ cc(X0)
      | ~ rinvS(X2,X3)
      | ~ rinvP(X1,X2)
      | ~ rinvR(X0,X1) ),
    inference(resolution,[],[f84,f58]) ).

fof(f86,plain,
    ! [X2,X0,X1] :
      ( ~ rinvS(X1,i2003_11_14_17_21_33997)
      | ~ cc(X0)
      | ~ rinvP(X2,X1)
      | ~ rinvR(X0,X2) ),
    inference(resolution,[],[f85,f79]) ).

fof(f87,plain,
    ! [X2,X0,X1] :
      ( ~ rs(i2003_11_14_17_21_33997,X2)
      | ~ rinvP(X1,X2)
      | ~ rinvR(X0,X1)
      | ~ cc(X0) ),
    inference(resolution,[],[f86,f77]) ).

fof(f88,plain,
    ! [X0,X1] :
      ( ~ rinvP(X0,sK0(i2003_11_14_17_21_33997))
      | ~ rinvR(X1,X0)
      | ~ cc(X1)
      | ~ cUnsatisfiable(i2003_11_14_17_21_33997) ),
    inference(resolution,[],[f87,f60]) ).

fof(f89,plain,
    ! [X0,X1] :
      ( ~ rinvP(X0,sK0(i2003_11_14_17_21_33997))
      | ~ rinvR(X1,X0)
      | ~ cc(X1) ),
    inference(forward_subsumption_resolution,[],[f88,f79]) ).

fof(f90,plain,
    ! [X0,X1] :
      ( ~ rinvR(X0,X1)
      | ~ cc(X0)
      | ~ rp(sK0(i2003_11_14_17_21_33997),X1) ),
    inference(resolution,[],[f89,f75]) ).

fof(f91,plain,
    ! [X0,X1] :
      ( ~ cc(X0)
      | ~ rp(sK0(i2003_11_14_17_21_33997),X1)
      | ~ rr(X1,X0) ),
    inference(resolution,[],[f90,f76]) ).

fof(f92,plain,
    ! [X2,X0,X1] :
      ( ~ ca_Vx5(X2)
      | ~ rr(X0,X1)
      | ~ rr(X2,X1)
      | ~ rp(sK0(i2003_11_14_17_21_33997),X0) ),
    inference(resolution,[],[f91,f72]) ).

fof(f94,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ca_Ax2(X3)
      | ~ rr(X2,X1)
      | ~ rp(sK0(i2003_11_14_17_21_33997),X0)
      | ~ rp(X3,X2)
      | ~ rr(X0,X1) ),
    inference(resolution,[],[f92,f68]) ).

fof(f117,definition,
    ( spl6_5
  <=> ca_Ax2(sK0(i2003_11_14_17_21_33997)) ),
    introduced(definition,[new_symbols(definition,[spl6_5])],[avatar_definition]) ).

fof(f118,plain,
    ( ca_Ax2(sK0(i2003_11_14_17_21_33997))
    | ~ spl6_5 ),
    inference(avatar_component_clause,[],[f117]) ).

fof(f119,plain,
    ( ~ ca_Ax2(sK0(i2003_11_14_17_21_33997))
    | spl6_5 ),
    inference(avatar_component_clause,[],[f117]) ).

fof(f124,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cUnsatisfiable(X3)
      | ~ rp(sK0(i2003_11_14_17_21_33997),X2)
      | ~ rp(sK0(X3),X0)
      | ~ rr(X2,X1)
      | ~ rr(X0,X1) ),
    inference(resolution,[],[f94,f59]) ).

fof(f126,plain,
    ! [X2,X0,X1] :
      ( ~ rr(X1,X2)
      | ~ rp(sK0(i2003_11_14_17_21_33997),X1)
      | ~ rr(X0,X2)
      | ~ rp(sK0(i2003_11_14_17_21_33997),X0) ),
    inference(resolution,[],[f124,f79]) ).

fof(f127,plain,
    ( ~ cUnsatisfiable(i2003_11_14_17_21_33997)
    | spl6_5 ),
    inference(resolution,[],[f119,f59]) ).

fof(f128,plain,
    ( $false
    | spl6_5 ),
    inference(forward_subsumption_resolution,[],[f127,f79]) ).

fof(f129,plain,
    spl6_5,
    inference(avatar_contradiction_clause,[],[f128]) ).

fof(f137,plain,
    ! [X0,X1] :
      ( ~ rr(X0,X1)
      | ~ rp(sK0(i2003_11_14_17_21_33997),X0)
      | ~ rp(sK0(i2003_11_14_17_21_33997),X0) ),
    inference(factoring,[],[f126]) ).

fof(f138,plain,
    ! [X0,X1] :
      ( ~ rr(X0,X1)
      | ~ rp(sK0(i2003_11_14_17_21_33997),X0) ),
    inference(duplicate_literal_removal,[],[f137]) ).

fof(f140,plain,
    ! [X0] :
      ( ~ ca_Vx3(X0)
      | ~ rp(sK0(i2003_11_14_17_21_33997),X0) ),
    inference(resolution,[],[f138,f70]) ).

fof(f145,plain,
    ! [X0,X1] :
      ( ~ ca_Ax2(X1)
      | ~ rp(X1,X0)
      | ~ rp(sK0(i2003_11_14_17_21_33997),X0) ),
    inference(resolution,[],[f140,f69]) ).

fof(f155,plain,
    ( ! [X0] :
        ( ~ rp(sK0(i2003_11_14_17_21_33997),X0)
        | ~ rp(sK0(i2003_11_14_17_21_33997),X0) )
    | ~ spl6_5 ),
    inference(resolution,[],[f145,f118]) ).

fof(f156,plain,
    ( ! [X0] : ~ rp(sK0(i2003_11_14_17_21_33997),X0)
    | ~ spl6_5 ),
    inference(duplicate_literal_removal,[],[f155]) ).

fof(f160,plain,
    ( ~ ca_Ax2(sK0(i2003_11_14_17_21_33997))
    | ~ spl6_5 ),
    inference(resolution,[],[f156,f65]) ).

fof(f163,plain,
    ( $false
    | ~ spl6_5 ),
    inference(forward_subsumption_resolution,[],[f160,f118]) ).

fof(f164,plain,
    ~ spl6_5,
    inference(avatar_contradiction_clause,[],[f163]) ).

cnf(s4,plain,
    spl6_5,
    inference(sat_conversion,[],[f129]) ).

cnf(s5,plain,
    ~ spl6_5,
    inference(sat_conversion,[],[f164]) ).

cnf(s6,plain,
    $false,
    inference(rat,[],[s4,s5]) ).

fof(f165,plain,
    $false,
    inference(avatar_sat_refutation,[],[s6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : KRS116+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38  % Computer : n001.cluster.edu
% 0.12/0.38  % Model    : x86_64 x86_64
% 0.12/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38  % Memory   : 8046.5625MB
% 0.12/0.38  % OS       : Linux 6.8.0-71-generic
% 0.12/0.38  % CPULimit : 300
% 0.12/0.38  % WCLimit  : 300
% 0.12/0.38  % DateTime : Sun Sep 27 13:31:46 UTC 2026
% 0.12/0.39  % CPUTime  : 
% 0.12/0.39  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.42  Running first-order theorem proving
% 0.12/0.42  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
% 2.26/1.19  % (3572936)Detected formulas, will run a generic FOF schedule.
% 2.26/1.19  % (3572946)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3327682051:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.26/1.19  % (3572946)First to succeed.
% 2.26/1.19  % (3572946)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3572936"
% 2.26/1.19  % (3572945)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3444697508:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.26/1.19  % (3572947)dis-21_1_sil=8000:lcm=predicate:random_seed=2835816494:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.26/1.19  % (3572944)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1699786437:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.26/1.19  % (3572941)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=1866610170:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.26/1.19  % (3572942)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=2396374966:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.26/1.19  % (3572943)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=2819791795:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.26/1.19  % (3572945)Refutation not found, incomplete strategy
% 2.26/1.19  % (3572945)------------------------------
% 2.26/1.19  % (3572945)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.26/1.19  % (3572945)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.26/1.19  % (3572945)CaDiCaL version: 2.1.3
% 2.26/1.19  % (3572945)Termination reason: Refutation not found, incomplete strategy
% 2.26/1.19  % (3572945)Time elapsed: 0.0000 s
% 2.26/1.19  % (3572945)Peak memory usage: 85 MB
% 2.26/1.19  % (3572944)Refutation not found, incomplete strategy
% 2.26/1.19  % (3572944)------------------------------
% 2.26/1.19  % (3572944)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.26/1.19  % (3572944)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.26/1.19  % (3572944)CaDiCaL version: 2.1.3
% 2.26/1.19  % (3572944)Termination reason: Refutation not found, incomplete strategy
% 2.26/1.19  % (3572944)Time elapsed: 0.0000 s
% 2.26/1.19  % (3572944)Peak memory usage: 86 MB
% 2.26/1.19  % (3572947)Also succeeded, but the first one will report.
% 2.26/1.19  % (3572946)Refutation found. Thanks to Tanya!
% 2.26/1.19  % SZS status Unsatisfiable for theBenchmark
% 2.26/1.19  % SZS output start Proof for theBenchmark
% See solution above
% 0.16/1.40  % (3572946)------------------------------
% 0.16/1.40  % (3572946)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/1.40  % (3572946)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/1.40  % (3572946)CaDiCaL version: 2.1.3
% 0.16/1.40  % (3572946)Termination reason: Refutation
% 0.16/1.40  % (3572946)Time elapsed: 0.003 s
% 0.16/1.40  % (3572946)Peak memory usage: 89 MB
% 0.16/1.40  % (3572946)Instructions burned: 6 (million)
% 0.16/1.40  % (3572946)------------------------------
% 0.16/1.40  % (3572946)------------------------------
% 0.16/1.40  % (3572936)Success in time 0.318 s
% 0.16/1.40  % Vampire exiting
%------------------------------------------------------------------------------