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iProver---3.9.4.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : KRS116+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM

% Computer : n002.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep 25 01:54:11 PM UTC 2026

% Result   : Unsatisfiable 1.26s 1.26s
% Output   : CNFRefutation 1.26s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   14
% Syntax   : Number of formulae    :  100 (  10 unt;   0 def)
%            Number of atoms       :  283 (   0 equ)
%            Maximal formula atoms :   13 (   2 avg)
%            Number of connectives :  291 ( 108   ~;  91   |;  41   &)
%                                         (  12 <=>;  39  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   19 (  18 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   1 con; 0-1 aty)
%            Number of variables   :  185 (   0 sgn 164   !;  21   ?;  48   :)

% 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] :
          ( ca_Ax2(X1)
          & rs(X0,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_Vx4(X1) )
        & ? [X1] :
            ( cowlThing(X1)
            & rp(X0,X1) )
        & ? [X1] :
            ( cowlThing(X1)
            & rr(X0,X1) )
        & ! [X1] :
            ( rr(X0,X1)
           => cc(X1) )
        & ! [X1] :
            ( rp(X0,X1)
           => ca_Vx5(X1) )
        & ! [X1] :
            ( rp(X0,X1)
           => ca_Vx3(X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).

fof(f9,axiom,
    ! [X0] :
      ( ca_Vx3(X0)
    <=> ? [X1] :
          ( cowlThing(X1)
          & rr(X0,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)
    <=> ( ! [X6] :
            ( rp(X0,X6)
           => ca_Vx4(X6) )
        & ? [X5] :
            ( cowlThing(X5)
            & rp(X0,X5) )
        & ? [X4] :
            ( cowlThing(X4)
            & rr(X0,X4) )
        & ! [X3] :
            ( rr(X0,X3)
           => cc(X3) )
        & ! [X2] :
            ( rp(X0,X2)
           => ca_Vx5(X2) )
        & ! [X1] :
            ( rp(X0,X1)
           => ca_Vx3(X1) ) ) ),
    inference(rectify,[],[f8]) ).

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

fof(f21,plain,
    ! [X0] :
      ( ca_Vx3(X0)
     => ? [X1] :
          ( cowlThing(X1)
          & rr(X0,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)
     => ( ! [X6] :
            ( rp(X0,X6)
           => ca_Vx4(X6) )
        & ? [X5] : rp(X0,X5)
        & ? [X4] : rr(X0,X4)
        & ! [X3] :
            ( rr(X0,X3)
           => cc(X3) )
        & ! [X2] :
            ( rp(X0,X2)
           => ca_Vx5(X2) )
        & ! [X1] :
            ( rp(X0,X1)
           => ca_Vx3(X1) ) ) ),
    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] :
      ( ~ cUnsatisfiable(X0)
      | ca(X0) ),
    inference(ennf_transformation,[],[f3]) ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

fof(f72,plain,
    ! [X0,X1] :
      ( ~ ca_Vx5(X0)
      | ~ rr(X0,X1)
      | cc(X1) ),
    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_Vx7(X0)
      | ~ rinvP(X0,X1)
      | ca_Vx6(X1) ),
    inference(cnf_transformation,[],[f47]) ).

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

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

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

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

tcf(c_49,plain,
    ! [X0: $i] :
      ( ca(X0)
      | ~ cUnsatisfiable(X0) ),
    inference(cnf_transformation,[],[f58]) ).

tcf(c_50,plain,
    ! [X0: $i] :
      ( rs(X0,sK0(X0))
      | ~ cUnsatisfiable(X0) ),
    inference(cnf_transformation,[],[f60]) ).

tcf(c_51,plain,
    ! [X0: $i] :
      ( ca_Ax2(sK0(X0))
      | ~ cUnsatisfiable(X0) ),
    inference(cnf_transformation,[],[f59]) ).

tcf(c_52,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ca(X0)
      | ~ ra_Px1(X0,X1) ),
    inference(cnf_transformation,[],[f61]) ).

tcf(c_53,plain,
    ! [X0: $i] :
      ( ra_Px1(X0,sK1(X0))
      | ~ caxcomp(X0) ),
    inference(cnf_transformation,[],[f62]) ).

tcf(c_54,plain,
    ! [X0: $i,X1: $i] :
      ( ca_Vx7(X1)
      | ~ cc(X0)
      | ~ rinvR(X0,X1) ),
    inference(cnf_transformation,[],[f63]) ).

tcf(c_55,plain,
    ! [X0: $i,X1: $i] :
      ( ca_Vx3(X1)
      | ~ ca_Ax2(X0)
      | ~ rp(X0,X1) ),
    inference(cnf_transformation,[],[f69]) ).

tcf(c_56,plain,
    ! [X0: $i,X1: $i] :
      ( ca_Vx5(X1)
      | ~ ca_Ax2(X0)
      | ~ rp(X0,X1) ),
    inference(cnf_transformation,[],[f68]) ).

tcf(c_59,plain,
    ! [X0: $i] :
      ( rp(X0,sK3(X0))
      | ~ ca_Ax2(X0) ),
    inference(cnf_transformation,[],[f65]) ).

tcf(c_61,plain,
    ! [X0: $i] :
      ( rr(X0,sK4(X0))
      | ~ ca_Vx3(X0) ),
    inference(cnf_transformation,[],[f70]) ).

tcf(c_63,plain,
    ! [X0: $i,X1: $i] :
      ( cc(X1)
      | ~ ca_Vx5(X0)
      | ~ rr(X0,X1) ),
    inference(cnf_transformation,[],[f72]) ).

tcf(c_64,plain,
    ! [X0: $i,X1: $i] :
      ( caxcomp(X1)
      | ~ ca_Vx6(X0)
      | ~ rinvS(X0,X1) ),
    inference(cnf_transformation,[],[f73]) ).

tcf(c_65,plain,
    ! [X0: $i,X1: $i] :
      ( ca_Vx6(X1)
      | ~ ca_Vx7(X0)
      | ~ rinvP(X0,X1) ),
    inference(cnf_transformation,[],[f74]) ).

tcf(c_66,plain,
    ! [X0: $i,X1: $i] :
      ( rinvP(X1,X0)
      | ~ rp(X0,X1) ),
    inference(cnf_transformation,[],[f75]) ).

tcf(c_67,plain,
    ! [X0: $i,X1: $i] :
      ( rinvR(X1,X0)
      | ~ rr(X0,X1) ),
    inference(cnf_transformation,[],[f76]) ).

tcf(c_68,plain,
    ! [X0: $i,X1: $i] :
      ( rinvS(X1,X0)
      | ~ rs(X0,X1) ),
    inference(cnf_transformation,[],[f77]) ).

tcf(c_70,plain,
    cUnsatisfiable(i2003_11_14_17_21_33997),
    inference(cnf_transformation,[],[f79]) ).

tcf(c_195,plain,
    ! [X0: $i,X1: $i] :
      ( ~ cUnsatisfiable(X0)
      | ~ ra_Px1(X0,X1) ),
    inference(resolution,[status(thm)],[c_49,c_52]) ).

tcf(c_205,plain,
    ! [X0: $i] :
      ( rinvS(sK0(X0),X0)
      | ~ cUnsatisfiable(X0) ),
    inference(resolution,[status(thm)],[c_50,c_68]) ).

tcf(c_215,plain,
    ! [X0: $i] :
      ( ~ caxcomp(X0)
      | ~ cUnsatisfiable(X0) ),
    inference(resolution,[status(thm)],[c_195,c_53]) ).

tcf(c_225,plain,
    ~ caxcomp(i2003_11_14_17_21_33997),
    inference(resolution,[status(thm)],[c_215,c_70]) ).

tcf(c_229,plain,
    rinvS(sK0(i2003_11_14_17_21_33997),i2003_11_14_17_21_33997),
    inference(resolution,[status(thm)],[c_205,c_70]) ).

tcf(c_233,plain,
    ca_Ax2(sK0(i2003_11_14_17_21_33997)),
    inference(resolution,[status(thm)],[c_51,c_70]) ).

tcf(c_240,plain,
    ! [X0: $i] :
      ( ~ ca_Vx6(X0)
      | ~ rinvS(X0,i2003_11_14_17_21_33997) ),
    inference(resolution,[status(thm)],[c_64,c_225]) ).

tcf(c_250,plain,
    ~ ca_Vx6(sK0(i2003_11_14_17_21_33997)),
    inference(resolution,[status(thm)],[c_229,c_240]) ).

tcf(c_255,plain,
    ! [X0: $i] :
      ( ~ ca_Vx7(X0)
      | ~ rinvP(X0,sK0(i2003_11_14_17_21_33997)) ),
    inference(resolution,[status(thm)],[c_65,c_250]) ).

tcf(c_265,plain,
    ! [X0: $i] :
      ( ~ ca_Vx7(X0)
      | ~ rp(sK0(i2003_11_14_17_21_33997),X0) ),
    inference(resolution,[status(thm)],[c_66,c_255]) ).

tcf(c_275,plain,
    ! [X0: $i,X1: $i] :
      ( ~ cc(X1)
      | ~ rinvR(X1,X0)
      | ~ rp(sK0(i2003_11_14_17_21_33997),X0) ),
    inference(resolution,[status(thm)],[c_54,c_265]) ).

tcf(c_289,plain,
    ! [X0: $i,X1: $i] :
      ( ~ cc(X1)
      | ~ rr(X0,X1)
      | ~ rp(sK0(i2003_11_14_17_21_33997),X0) ),
    inference(resolution,[status(thm)],[c_67,c_275]) ).

tcf(c_303,plain,
    ! [X0: $i,X1: $i] :
      ( rr(X1,sK4(X1))
      | ~ ca_Ax2(X0)
      | ~ rp(X0,X1) ),
    inference(resolution,[status(thm)],[c_55,c_61]) ).

tcf(c_393,plain,
    ! [X0: $i] :
      ( rr(X0,sK4(X0))
      | ~ rp(sK0(i2003_11_14_17_21_33997),X0) ),
    inference(resolution,[status(thm)],[c_303,c_233]) ).

tcf(c_401,plain,
    rp(sK0(i2003_11_14_17_21_33997),sK3(sK0(i2003_11_14_17_21_33997))),
    inference(resolution,[status(thm)],[c_59,c_233]) ).

tcf(c_417,plain,
    ! [X0: $i] :
      ( ca_Vx5(X0)
      | ~ rp(sK0(i2003_11_14_17_21_33997),X0) ),
    inference(resolution,[status(thm)],[c_56,c_233]) ).

tcf(c_435,plain,
    ! [X0: $i,X1: $i] :
      ( cc(X1)
      | ~ rr(X0,X1)
      | ~ rp(sK0(i2003_11_14_17_21_33997),X0) ),
    inference(resolution,[status(thm)],[c_417,c_63]) ).

tcf(c_437,plain,
    ! [X0: $i,X1: $i] :
      ( ~ rp(sK0(i2003_11_14_17_21_33997),X0)
      | ~ rr(X0,X1) ),
    inference(global_subsumption_just,[status(thm)],[c_435,c_289,c_435]) ).

tcf(c_438,plain,
    ! [X0: $i,X1: $i] :
      ( ~ rr(X0,X1)
      | ~ rp(sK0(i2003_11_14_17_21_33997),X0) ),
    inference(renaming,[status(thm)],[c_437]) ).

tcf(c_448,plain,
    ! [X0: $i] : ~ rp(sK0(i2003_11_14_17_21_33997),X0),
    inference(backward_subsumption_resolution,[status(thm)],[c_393,c_438]) ).

tcf(c_452,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[c_401,c_448]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : KRS116+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.03  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.35  % Computer : n002.cluster.edu
% 0.09/0.35  % Model    : x86_64 x86_64
% 0.09/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35  % Memory   : 8046.5625MB
% 0.09/0.35  % OS       : Linux 6.8.0-71-generic
% 0.09/0.36  % CPULimit : 300
% 0.09/0.36  % WCLimit  : 300
% 0.09/0.36  % DateTime : Wed Sep 23 19:28:33 UTC 2026
% 0.09/0.36  % CPUTime  : 
% 0.09/0.36  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.40  Running first-order theorem proving
% 0.12/0.40  Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.41  
% 0.12/0.41  % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.41  
% 0.12/0.41  % Detected problem language: tptp
% 0.12/0.42  % Proving...
% 1.26/1.26  % SZS status Started for theBenchmark.p
% 1.26/1.26  % SZS status Unsatisfiable for theBenchmark.p
% 1.26/1.26  
% 1.26/1.26  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.26/1.26  
% 1.26/1.26  % ------  iProver source info
% 1.26/1.26  
% 1.26/1.26  % git: date: 2026-07-19 20:42:38 +0200
% 1.26/1.26  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.26/1.26  % git: non_committed_changes: false
% 1.26/1.26  
% 1.26/1.26  % ------ Parsing...
% 1.26/1.26  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 1.26/1.26  
% 1.26/1.26  % ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe_e % 
% 1.26/1.26  
% 1.26/1.26  % SZS status Unsatisfiable for theBenchmark.p
% 1.26/1.26  
% 1.26/1.26  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.26/1.27  
% 1.26/1.27  
%------------------------------------------------------------------------------