TSTP Solution File: KRS116+1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : KRS116+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n027.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri May  3 02:33:40 EDT 2024

% Result   : Unsatisfiable 0.94s 1.08s
% Output   : CNFRefutation 0.94s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   19
% Syntax   : Number of formulae    :  106 (  10 unt;   0 def)
%            Number of atoms       :  297 (   0 equ)
%            Maximal formula atoms :   13 (   2 avg)
%            Number of connectives :  299 ( 108   ~;  91   |;  43   &)
%                                         (  13 <=>;  44  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            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   :  197 (   5 sgn 122   !;  27   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3,axiom,
    ! [X0] :
      ( cUnsatisfiable(X0)
     => ca(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).

fof(f4,axiom,
    ! [X0] :
      ( cUnsatisfiable(X0)
     => ? [X1] :
          ( ca_Ax2(X1)
          & rs(X0,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).

fof(f5,axiom,
    ! [X0] :
      ( ca(X0)
    <=> ~ ? [X1] : ra_Px1(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).

fof(f6,axiom,
    ! [X0] :
      ( caxcomp(X0)
    <=> ? [X2] : ra_Px1(X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).

fof(f7,axiom,
    ! [X0] :
      ( cc(X0)
    <=> ! [X1] :
          ( rinvR(X0,X1)
         => ca_Vx7(X1) ) ),
    file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',axiom_7) ).

fof(f9,axiom,
    ! [X0] :
      ( ca_Vx3(X0)
    <=> ? [X1] :
          ( cowlThing(X1)
          & rr(X0,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).

fof(f11,axiom,
    ! [X0] :
      ( ca_Vx5(X0)
    <=> ! [X1] :
          ( rr(X0,X1)
         => cc(X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_10) ).

fof(f12,axiom,
    ! [X0] :
      ( ca_Vx6(X0)
    <=> ! [X1] :
          ( rinvS(X0,X1)
         => caxcomp(X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_11) ).

fof(f13,axiom,
    ! [X0] :
      ( ca_Vx7(X0)
    <=> ! [X1] :
          ( rinvP(X0,X1)
         => ca_Vx6(X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_12) ).

fof(f14,axiom,
    ! [X0,X1] :
      ( rinvP(X0,X1)
    <=> rp(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_13) ).

fof(f15,axiom,
    ! [X0,X1] :
      ( rinvR(X0,X1)
    <=> rr(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_14) ).

fof(f16,axiom,
    ! [X0,X1] :
      ( rinvS(X0,X1)
    <=> rs(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_15) ).

fof(f18,axiom,
    cUnsatisfiable(i2003_11_14_17_21_33997),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_17) ).

fof(f19,plain,
    ! [X0] :
      ( caxcomp(X0)
    <=> ? [X1] : ra_Px1(X0,X1) ),
    inference(rectify,[],[f6]) ).

fof(f20,plain,
    ! [X0] :
      ( ca_Ax2(X0)
    <=> ( ! [X1] :
            ( rp(X0,X1)
           => ca_Vx4(X1) )
        & ? [X2] :
            ( cowlThing(X2)
            & rp(X0,X2) )
        & ? [X3] :
            ( cowlThing(X3)
            & rr(X0,X3) )
        & ! [X4] :
            ( rr(X0,X4)
           => cc(X4) )
        & ! [X5] :
            ( rp(X0,X5)
           => ca_Vx5(X5) )
        & ! [X6] :
            ( rp(X0,X6)
           => ca_Vx3(X6) ) ) ),
    inference(rectify,[],[f8]) ).

fof(f22,plain,
    ! [X0] :
      ( ca_Ax2(X0)
     => ( ! [X1] :
            ( rp(X0,X1)
           => ca_Vx4(X1) )
        & ? [X2] :
            ( cowlThing(X2)
            & rp(X0,X2) )
        & ? [X3] :
            ( cowlThing(X3)
            & rr(X0,X3) )
        & ! [X4] :
            ( rr(X0,X4)
           => cc(X4) )
        & ! [X5] :
            ( rp(X0,X5)
           => ca_Vx5(X5) )
        & ! [X6] :
            ( rp(X0,X6)
           => ca_Vx3(X6) ) ) ),
    inference(unused_predicate_definition_removal,[],[f20]) ).

fof(f24,plain,
    ! [X0] :
      ( ca_Vx5(X0)
     => ! [X1] :
          ( rr(X0,X1)
         => cc(X1) ) ),
    inference(unused_predicate_definition_removal,[],[f11]) ).

fof(f25,plain,
    ! [X0] :
      ( cc(X0)
     => ! [X1] :
          ( rinvR(X0,X1)
         => ca_Vx7(X1) ) ),
    inference(unused_predicate_definition_removal,[],[f7]) ).

fof(f26,plain,
    ! [X0] :
      ( ca_Vx7(X0)
     => ! [X1] :
          ( rinvP(X0,X1)
         => ca_Vx6(X1) ) ),
    inference(unused_predicate_definition_removal,[],[f13]) ).

fof(f27,plain,
    ! [X0] :
      ( ca_Vx6(X0)
     => ! [X1] :
          ( rinvS(X0,X1)
         => caxcomp(X1) ) ),
    inference(unused_predicate_definition_removal,[],[f12]) ).

fof(f28,plain,
    ! [X0] :
      ( caxcomp(X0)
     => ? [X1] : ra_Px1(X0,X1) ),
    inference(unused_predicate_definition_removal,[],[f19]) ).

fof(f29,plain,
    ! [X0,X1] :
      ( rs(X1,X0)
     => rinvS(X0,X1) ),
    inference(unused_predicate_definition_removal,[],[f16]) ).

fof(f30,plain,
    ! [X0,X1] :
      ( rp(X1,X0)
     => rinvP(X0,X1) ),
    inference(unused_predicate_definition_removal,[],[f14]) ).

fof(f31,plain,
    ! [X0,X1] :
      ( rr(X1,X0)
     => rinvR(X0,X1) ),
    inference(unused_predicate_definition_removal,[],[f15]) ).

fof(f32,plain,
    ! [X0] :
      ( ca_Vx3(X0)
     => ? [X1] :
          ( cowlThing(X1)
          & rr(X0,X1) ) ),
    inference(unused_predicate_definition_removal,[],[f9]) ).

fof(f33,plain,
    ! [X0] :
      ( ca(X0)
     => ~ ? [X1] : ra_Px1(X0,X1) ),
    inference(unused_predicate_definition_removal,[],[f5]) ).

fof(f35,plain,
    ! [X0] :
      ( ca_Ax2(X0)
     => ( ! [X1] :
            ( rp(X0,X1)
           => ca_Vx4(X1) )
        & ? [X2] : rp(X0,X2)
        & ? [X3] : rr(X0,X3)
        & ! [X4] :
            ( rr(X0,X4)
           => cc(X4) )
        & ! [X5] :
            ( rp(X0,X5)
           => ca_Vx5(X5) )
        & ! [X6] :
            ( rp(X0,X6)
           => ca_Vx3(X6) ) ) ),
    inference(pure_predicate_removal,[],[f22]) ).

fof(f37,plain,
    ! [X0] :
      ( ca_Vx3(X0)
     => ? [X1] : rr(X0,X1) ),
    inference(pure_predicate_removal,[],[f32]) ).

fof(f39,plain,
    ! [X0] :
      ( ca(X0)
      | ~ cUnsatisfiable(X0) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f40,plain,
    ! [X0] :
      ( ? [X1] :
          ( ca_Ax2(X1)
          & rs(X0,X1) )
      | ~ cUnsatisfiable(X0) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f41,plain,
    ! [X0] :
      ( ! [X1] : ~ ra_Px1(X0,X1)
      | ~ ca(X0) ),
    inference(ennf_transformation,[],[f33]) ).

fof(f42,plain,
    ! [X0] :
      ( ? [X1] : ra_Px1(X0,X1)
      | ~ caxcomp(X0) ),
    inference(ennf_transformation,[],[f28]) ).

fof(f43,plain,
    ! [X0] :
      ( ! [X1] :
          ( ca_Vx7(X1)
          | ~ rinvR(X0,X1) )
      | ~ cc(X0) ),
    inference(ennf_transformation,[],[f25]) ).

fof(f44,plain,
    ! [X0] :
      ( ( ! [X1] :
            ( ca_Vx4(X1)
            | ~ rp(X0,X1) )
        & ? [X2] : rp(X0,X2)
        & ? [X3] : rr(X0,X3)
        & ! [X4] :
            ( cc(X4)
            | ~ rr(X0,X4) )
        & ! [X5] :
            ( ca_Vx5(X5)
            | ~ rp(X0,X5) )
        & ! [X6] :
            ( ca_Vx3(X6)
            | ~ rp(X0,X6) ) )
      | ~ ca_Ax2(X0) ),
    inference(ennf_transformation,[],[f35]) ).

fof(f45,plain,
    ! [X0] :
      ( ? [X1] : rr(X0,X1)
      | ~ ca_Vx3(X0) ),
    inference(ennf_transformation,[],[f37]) ).

fof(f47,plain,
    ! [X0] :
      ( ! [X1] :
          ( cc(X1)
          | ~ rr(X0,X1) )
      | ~ ca_Vx5(X0) ),
    inference(ennf_transformation,[],[f24]) ).

fof(f48,plain,
    ! [X0] :
      ( ! [X1] :
          ( caxcomp(X1)
          | ~ rinvS(X0,X1) )
      | ~ ca_Vx6(X0) ),
    inference(ennf_transformation,[],[f27]) ).

fof(f49,plain,
    ! [X0] :
      ( ! [X1] :
          ( ca_Vx6(X1)
          | ~ rinvP(X0,X1) )
      | ~ ca_Vx7(X0) ),
    inference(ennf_transformation,[],[f26]) ).

fof(f50,plain,
    ! [X0,X1] :
      ( rinvP(X0,X1)
      | ~ rp(X1,X0) ),
    inference(ennf_transformation,[],[f30]) ).

fof(f51,plain,
    ! [X0,X1] :
      ( rinvR(X0,X1)
      | ~ rr(X1,X0) ),
    inference(ennf_transformation,[],[f31]) ).

fof(f52,plain,
    ! [X0,X1] :
      ( rinvS(X0,X1)
      | ~ rs(X1,X0) ),
    inference(ennf_transformation,[],[f29]) ).

fof(f55,plain,
    ! [X0] :
      ( ? [X1] :
          ( ca_Ax2(X1)
          & rs(X0,X1) )
     => ( ca_Ax2(sK0(X0))
        & rs(X0,sK0(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f56,plain,
    ! [X0] :
      ( ( ca_Ax2(sK0(X0))
        & rs(X0,sK0(X0)) )
      | ~ cUnsatisfiable(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f40,f55]) ).

fof(f57,plain,
    ! [X0] :
      ( ? [X1] : ra_Px1(X0,X1)
     => ra_Px1(X0,sK1(X0)) ),
    introduced(choice_axiom,[]) ).

fof(f58,plain,
    ! [X0] :
      ( ra_Px1(X0,sK1(X0))
      | ~ caxcomp(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f42,f57]) ).

fof(f59,plain,
    ! [X0] :
      ( ? [X2] : rp(X0,X2)
     => rp(X0,sK2(X0)) ),
    introduced(choice_axiom,[]) ).

fof(f60,plain,
    ! [X0] :
      ( ? [X3] : rr(X0,X3)
     => rr(X0,sK3(X0)) ),
    introduced(choice_axiom,[]) ).

fof(f61,plain,
    ! [X0] :
      ( ( ! [X1] :
            ( ca_Vx4(X1)
            | ~ rp(X0,X1) )
        & rp(X0,sK2(X0))
        & rr(X0,sK3(X0))
        & ! [X4] :
            ( cc(X4)
            | ~ rr(X0,X4) )
        & ! [X5] :
            ( ca_Vx5(X5)
            | ~ rp(X0,X5) )
        & ! [X6] :
            ( ca_Vx3(X6)
            | ~ rp(X0,X6) ) )
      | ~ ca_Ax2(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f44,f60,f59]) ).

fof(f62,plain,
    ! [X0] :
      ( ? [X1] : rr(X0,X1)
     => rr(X0,sK4(X0)) ),
    introduced(choice_axiom,[]) ).

fof(f63,plain,
    ! [X0] :
      ( rr(X0,sK4(X0))
      | ~ ca_Vx3(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f45,f62]) ).

fof(f66,plain,
    ! [X0] :
      ( ca(X0)
      | ~ cUnsatisfiable(X0) ),
    inference(cnf_transformation,[],[f39]) ).

fof(f67,plain,
    ! [X0] :
      ( rs(X0,sK0(X0))
      | ~ cUnsatisfiable(X0) ),
    inference(cnf_transformation,[],[f56]) ).

fof(f68,plain,
    ! [X0] :
      ( ca_Ax2(sK0(X0))
      | ~ cUnsatisfiable(X0) ),
    inference(cnf_transformation,[],[f56]) ).

fof(f69,plain,
    ! [X0,X1] :
      ( ~ ra_Px1(X0,X1)
      | ~ ca(X0) ),
    inference(cnf_transformation,[],[f41]) ).

fof(f70,plain,
    ! [X0] :
      ( ra_Px1(X0,sK1(X0))
      | ~ caxcomp(X0) ),
    inference(cnf_transformation,[],[f58]) ).

fof(f71,plain,
    ! [X0,X1] :
      ( ca_Vx7(X1)
      | ~ rinvR(X0,X1)
      | ~ cc(X0) ),
    inference(cnf_transformation,[],[f43]) ).

fof(f72,plain,
    ! [X0,X6] :
      ( ca_Vx3(X6)
      | ~ rp(X0,X6)
      | ~ ca_Ax2(X0) ),
    inference(cnf_transformation,[],[f61]) ).

fof(f73,plain,
    ! [X0,X5] :
      ( ca_Vx5(X5)
      | ~ rp(X0,X5)
      | ~ ca_Ax2(X0) ),
    inference(cnf_transformation,[],[f61]) ).

fof(f76,plain,
    ! [X0] :
      ( rp(X0,sK2(X0))
      | ~ ca_Ax2(X0) ),
    inference(cnf_transformation,[],[f61]) ).

fof(f78,plain,
    ! [X0] :
      ( rr(X0,sK4(X0))
      | ~ ca_Vx3(X0) ),
    inference(cnf_transformation,[],[f63]) ).

fof(f80,plain,
    ! [X0,X1] :
      ( cc(X1)
      | ~ rr(X0,X1)
      | ~ ca_Vx5(X0) ),
    inference(cnf_transformation,[],[f47]) ).

fof(f81,plain,
    ! [X0,X1] :
      ( caxcomp(X1)
      | ~ rinvS(X0,X1)
      | ~ ca_Vx6(X0) ),
    inference(cnf_transformation,[],[f48]) ).

fof(f82,plain,
    ! [X0,X1] :
      ( ca_Vx6(X1)
      | ~ rinvP(X0,X1)
      | ~ ca_Vx7(X0) ),
    inference(cnf_transformation,[],[f49]) ).

fof(f83,plain,
    ! [X0,X1] :
      ( rinvP(X0,X1)
      | ~ rp(X1,X0) ),
    inference(cnf_transformation,[],[f50]) ).

fof(f84,plain,
    ! [X0,X1] :
      ( rinvR(X0,X1)
      | ~ rr(X1,X0) ),
    inference(cnf_transformation,[],[f51]) ).

fof(f85,plain,
    ! [X0,X1] :
      ( rinvS(X0,X1)
      | ~ rs(X1,X0) ),
    inference(cnf_transformation,[],[f52]) ).

fof(f87,plain,
    cUnsatisfiable(i2003_11_14_17_21_33997),
    inference(cnf_transformation,[],[f18]) ).

cnf(c_49,plain,
    ( ~ cUnsatisfiable(X0)
    | ca(X0) ),
    inference(cnf_transformation,[],[f66]) ).

cnf(c_50,plain,
    ( ~ cUnsatisfiable(X0)
    | ca_Ax2(sK0(X0)) ),
    inference(cnf_transformation,[],[f68]) ).

cnf(c_51,plain,
    ( ~ cUnsatisfiable(X0)
    | rs(X0,sK0(X0)) ),
    inference(cnf_transformation,[],[f67]) ).

cnf(c_52,plain,
    ( ~ ra_Px1(X0,X1)
    | ~ ca(X0) ),
    inference(cnf_transformation,[],[f69]) ).

cnf(c_53,plain,
    ( ~ caxcomp(X0)
    | ra_Px1(X0,sK1(X0)) ),
    inference(cnf_transformation,[],[f70]) ).

cnf(c_54,plain,
    ( ~ rinvR(X0,X1)
    | ~ cc(X0)
    | ca_Vx7(X1) ),
    inference(cnf_transformation,[],[f71]) ).

cnf(c_56,plain,
    ( ~ ca_Ax2(X0)
    | rp(X0,sK2(X0)) ),
    inference(cnf_transformation,[],[f76]) ).

cnf(c_59,plain,
    ( ~ rp(X0,X1)
    | ~ ca_Ax2(X0)
    | ca_Vx5(X1) ),
    inference(cnf_transformation,[],[f73]) ).

cnf(c_60,plain,
    ( ~ rp(X0,X1)
    | ~ ca_Ax2(X0)
    | ca_Vx3(X1) ),
    inference(cnf_transformation,[],[f72]) ).

cnf(c_61,plain,
    ( ~ ca_Vx3(X0)
    | rr(X0,sK4(X0)) ),
    inference(cnf_transformation,[],[f78]) ).

cnf(c_63,plain,
    ( ~ rr(X0,X1)
    | ~ ca_Vx5(X0)
    | cc(X1) ),
    inference(cnf_transformation,[],[f80]) ).

cnf(c_64,plain,
    ( ~ rinvS(X0,X1)
    | ~ ca_Vx6(X0)
    | caxcomp(X1) ),
    inference(cnf_transformation,[],[f81]) ).

cnf(c_65,plain,
    ( ~ rinvP(X0,X1)
    | ~ ca_Vx7(X0)
    | ca_Vx6(X1) ),
    inference(cnf_transformation,[],[f82]) ).

cnf(c_66,plain,
    ( ~ rp(X0,X1)
    | rinvP(X1,X0) ),
    inference(cnf_transformation,[],[f83]) ).

cnf(c_67,plain,
    ( ~ rr(X0,X1)
    | rinvR(X1,X0) ),
    inference(cnf_transformation,[],[f84]) ).

cnf(c_68,plain,
    ( ~ rs(X0,X1)
    | rinvS(X1,X0) ),
    inference(cnf_transformation,[],[f85]) ).

cnf(c_70,plain,
    cUnsatisfiable(i2003_11_14_17_21_33997),
    inference(cnf_transformation,[],[f87]) ).

cnf(c_195,plain,
    ( ~ ra_Px1(X0,X1)
    | ~ cUnsatisfiable(X0) ),
    inference(resolution,[status(thm)],[c_49,c_52]) ).

cnf(c_205,plain,
    ( ~ cUnsatisfiable(X0)
    | rinvS(sK0(X0),X0) ),
    inference(resolution,[status(thm)],[c_51,c_68]) ).

cnf(c_215,plain,
    ( ~ cUnsatisfiable(X0)
    | ~ caxcomp(X0) ),
    inference(resolution,[status(thm)],[c_195,c_53]) ).

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

cnf(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]) ).

cnf(c_233,plain,
    ca_Ax2(sK0(i2003_11_14_17_21_33997)),
    inference(resolution,[status(thm)],[c_50,c_70]) ).

cnf(c_240,plain,
    ( ~ rinvS(X0,i2003_11_14_17_21_33997)
    | ~ ca_Vx6(X0) ),
    inference(resolution,[status(thm)],[c_64,c_225]) ).

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

cnf(c_255,plain,
    ( ~ rinvP(X0,sK0(i2003_11_14_17_21_33997))
    | ~ ca_Vx7(X0) ),
    inference(resolution,[status(thm)],[c_65,c_250]) ).

cnf(c_265,plain,
    ( ~ rp(sK0(i2003_11_14_17_21_33997),X0)
    | ~ ca_Vx7(X0) ),
    inference(resolution,[status(thm)],[c_66,c_255]) ).

cnf(c_275,plain,
    ( ~ rp(sK0(i2003_11_14_17_21_33997),X0)
    | ~ rinvR(X1,X0)
    | ~ cc(X1) ),
    inference(resolution,[status(thm)],[c_54,c_265]) ).

cnf(c_289,plain,
    ( ~ rp(sK0(i2003_11_14_17_21_33997),X0)
    | ~ rr(X0,X1)
    | ~ cc(X1) ),
    inference(resolution,[status(thm)],[c_67,c_275]) ).

cnf(c_317,plain,
    ( ~ rp(X0,X1)
    | ~ ca_Ax2(X0)
    | rr(X1,sK4(X1)) ),
    inference(resolution,[status(thm)],[c_60,c_61]) ).

cnf(c_385,plain,
    ( ~ rp(sK0(i2003_11_14_17_21_33997),X0)
    | rr(X0,sK4(X0)) ),
    inference(resolution,[status(thm)],[c_317,c_233]) ).

cnf(c_401,plain,
    ( ~ rp(sK0(i2003_11_14_17_21_33997),X0)
    | ca_Vx5(X0) ),
    inference(resolution,[status(thm)],[c_59,c_233]) ).

cnf(c_421,plain,
    rp(sK0(i2003_11_14_17_21_33997),sK2(sK0(i2003_11_14_17_21_33997))),
    inference(resolution,[status(thm)],[c_56,c_233]) ).

cnf(c_435,plain,
    ( ~ rp(sK0(i2003_11_14_17_21_33997),X0)
    | ~ rr(X0,X1)
    | cc(X1) ),
    inference(resolution,[status(thm)],[c_401,c_63]) ).

cnf(c_437,plain,
    ( ~ rr(X0,X1)
    | ~ rp(sK0(i2003_11_14_17_21_33997),X0) ),
    inference(global_subsumption_just,[status(thm)],[c_435,c_289,c_435]) ).

cnf(c_438,plain,
    ( ~ rp(sK0(i2003_11_14_17_21_33997),X0)
    | ~ rr(X0,X1) ),
    inference(renaming,[status(thm)],[c_437]) ).

cnf(c_448,plain,
    ~ rp(sK0(i2003_11_14_17_21_33997),X0),
    inference(backward_subsumption_resolution,[status(thm)],[c_385,c_438]) ).

cnf(c_452,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[c_421,c_448]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06  % Problem  : KRS116+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.07  % Command  : run_iprover %s %d THM
% 0.06/0.25  % Computer : n027.cluster.edu
% 0.06/0.25  % Model    : x86_64 x86_64
% 0.06/0.25  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.25  % Memory   : 8042.1875MB
% 0.06/0.25  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.06/0.25  % CPULimit : 300
% 0.06/0.25  % WCLimit  : 300
% 0.06/0.25  % DateTime : Thu May  2 23:09:20 EDT 2024
% 0.06/0.25  % CPUTime  : 
% 0.09/0.33  Running first-order theorem proving
% 0.09/0.33  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.94/1.08  % SZS status Started for theBenchmark.p
% 0.94/1.08  % SZS status Unsatisfiable for theBenchmark.p
% 0.94/1.08  
% 0.94/1.08  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.94/1.08  
% 0.94/1.08  ------  iProver source info
% 0.94/1.08  
% 0.94/1.08  git: date: 2024-05-02 19:28:25 +0000
% 0.94/1.08  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.94/1.08  git: non_committed_changes: false
% 0.94/1.08  
% 0.94/1.08  ------ Parsing...
% 0.94/1.08  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 0.94/1.08  
% 0.94/1.08  ------ 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 
% 0.94/1.08  
% 0.94/1.08  % SZS status Unsatisfiable for theBenchmark.p
% 0.94/1.08  
% 0.94/1.08  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.94/1.09  
% 0.94/1.09  
%------------------------------------------------------------------------------