TSTP Solution File: SEU131+1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SEU131+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n028.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 03:04:36 EDT 2024

% Result   : Theorem 3.53s 1.12s
% Output   : CNFRefutation 3.53s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
fof(f2,axiom,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( in(X2,X0)
         => in(X2,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).

fof(f3,axiom,
    ! [X0,X1,X2] :
      ( set_difference(X0,X1) = X2
    <=> ! [X3] :
          ( in(X3,X2)
        <=> ( ~ in(X3,X1)
            & in(X3,X0) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_xboole_0) ).

fof(f6,axiom,
    empty(empty_set),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_xboole_0) ).

fof(f7,conjecture,
    ! [X0,X1] :
      ( set_difference(X0,X1) = empty_set
    <=> subset(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l32_xboole_1) ).

fof(f8,negated_conjecture,
    ~ ! [X0,X1] :
        ( set_difference(X0,X1) = empty_set
      <=> subset(X0,X1) ),
    inference(negated_conjecture,[],[f7]) ).

fof(f12,axiom,
    ! [X0,X1] :
      ( ! [X2] :
          ( in(X2,X0)
        <=> in(X2,X1) )
     => X0 = X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_tarski) ).

fof(f13,axiom,
    ! [X0] : set_difference(X0,empty_set) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_boole) ).

fof(f14,axiom,
    ! [X0] : empty_set = set_difference(empty_set,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_boole) ).

fof(f15,axiom,
    ! [X0] :
      ( empty(X0)
     => empty_set = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).

fof(f16,axiom,
    ! [X0,X1] :
      ~ ( empty(X1)
        & in(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).

fof(f20,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( in(X2,X1)
          | ~ in(X2,X0) ) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f21,plain,
    ? [X0,X1] :
      ( set_difference(X0,X1) = empty_set
    <~> subset(X0,X1) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f22,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ? [X2] :
          ( in(X2,X0)
        <~> in(X2,X1) ) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f23,plain,
    ! [X0] :
      ( empty_set = X0
      | ~ empty(X0) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f24,plain,
    ! [X0,X1] :
      ( ~ empty(X1)
      | ~ in(X0,X1) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f26,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ? [X2] :
            ( ~ in(X2,X1)
            & in(X2,X0) ) )
      & ( ! [X2] :
            ( in(X2,X1)
            | ~ in(X2,X0) )
        | ~ subset(X0,X1) ) ),
    inference(nnf_transformation,[],[f20]) ).

fof(f27,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ? [X2] :
            ( ~ in(X2,X1)
            & in(X2,X0) ) )
      & ( ! [X3] :
            ( in(X3,X1)
            | ~ in(X3,X0) )
        | ~ subset(X0,X1) ) ),
    inference(rectify,[],[f26]) ).

fof(f28,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ~ in(X2,X1)
          & in(X2,X0) )
     => ( ~ in(sK0(X0,X1),X1)
        & in(sK0(X0,X1),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f29,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ( ~ in(sK0(X0,X1),X1)
          & in(sK0(X0,X1),X0) ) )
      & ( ! [X3] :
            ( in(X3,X1)
            | ~ in(X3,X0) )
        | ~ subset(X0,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f27,f28]) ).

fof(f30,plain,
    ! [X0,X1,X2] :
      ( ( set_difference(X0,X1) = X2
        | ? [X3] :
            ( ( in(X3,X1)
              | ~ in(X3,X0)
              | ~ in(X3,X2) )
            & ( ( ~ in(X3,X1)
                & in(X3,X0) )
              | in(X3,X2) ) ) )
      & ( ! [X3] :
            ( ( in(X3,X2)
              | in(X3,X1)
              | ~ in(X3,X0) )
            & ( ( ~ in(X3,X1)
                & in(X3,X0) )
              | ~ in(X3,X2) ) )
        | set_difference(X0,X1) != X2 ) ),
    inference(nnf_transformation,[],[f3]) ).

fof(f31,plain,
    ! [X0,X1,X2] :
      ( ( set_difference(X0,X1) = X2
        | ? [X3] :
            ( ( in(X3,X1)
              | ~ in(X3,X0)
              | ~ in(X3,X2) )
            & ( ( ~ in(X3,X1)
                & in(X3,X0) )
              | in(X3,X2) ) ) )
      & ( ! [X3] :
            ( ( in(X3,X2)
              | in(X3,X1)
              | ~ in(X3,X0) )
            & ( ( ~ in(X3,X1)
                & in(X3,X0) )
              | ~ in(X3,X2) ) )
        | set_difference(X0,X1) != X2 ) ),
    inference(flattening,[],[f30]) ).

fof(f32,plain,
    ! [X0,X1,X2] :
      ( ( set_difference(X0,X1) = X2
        | ? [X3] :
            ( ( in(X3,X1)
              | ~ in(X3,X0)
              | ~ in(X3,X2) )
            & ( ( ~ in(X3,X1)
                & in(X3,X0) )
              | in(X3,X2) ) ) )
      & ( ! [X4] :
            ( ( in(X4,X2)
              | in(X4,X1)
              | ~ in(X4,X0) )
            & ( ( ~ in(X4,X1)
                & in(X4,X0) )
              | ~ in(X4,X2) ) )
        | set_difference(X0,X1) != X2 ) ),
    inference(rectify,[],[f31]) ).

fof(f33,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( ( in(X3,X1)
            | ~ in(X3,X0)
            | ~ in(X3,X2) )
          & ( ( ~ in(X3,X1)
              & in(X3,X0) )
            | in(X3,X2) ) )
     => ( ( in(sK1(X0,X1,X2),X1)
          | ~ in(sK1(X0,X1,X2),X0)
          | ~ in(sK1(X0,X1,X2),X2) )
        & ( ( ~ in(sK1(X0,X1,X2),X1)
            & in(sK1(X0,X1,X2),X0) )
          | in(sK1(X0,X1,X2),X2) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f34,plain,
    ! [X0,X1,X2] :
      ( ( set_difference(X0,X1) = X2
        | ( ( in(sK1(X0,X1,X2),X1)
            | ~ in(sK1(X0,X1,X2),X0)
            | ~ in(sK1(X0,X1,X2),X2) )
          & ( ( ~ in(sK1(X0,X1,X2),X1)
              & in(sK1(X0,X1,X2),X0) )
            | in(sK1(X0,X1,X2),X2) ) ) )
      & ( ! [X4] :
            ( ( in(X4,X2)
              | in(X4,X1)
              | ~ in(X4,X0) )
            & ( ( ~ in(X4,X1)
                & in(X4,X0) )
              | ~ in(X4,X2) ) )
        | set_difference(X0,X1) != X2 ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f32,f33]) ).

fof(f35,plain,
    ? [X0,X1] :
      ( ( ~ subset(X0,X1)
        | set_difference(X0,X1) != empty_set )
      & ( subset(X0,X1)
        | set_difference(X0,X1) = empty_set ) ),
    inference(nnf_transformation,[],[f21]) ).

fof(f36,plain,
    ( ? [X0,X1] :
        ( ( ~ subset(X0,X1)
          | set_difference(X0,X1) != empty_set )
        & ( subset(X0,X1)
          | set_difference(X0,X1) = empty_set ) )
   => ( ( ~ subset(sK2,sK3)
        | empty_set != set_difference(sK2,sK3) )
      & ( subset(sK2,sK3)
        | empty_set = set_difference(sK2,sK3) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f37,plain,
    ( ( ~ subset(sK2,sK3)
      | empty_set != set_difference(sK2,sK3) )
    & ( subset(sK2,sK3)
      | empty_set = set_difference(sK2,sK3) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f35,f36]) ).

fof(f42,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ? [X2] :
          ( ( ~ in(X2,X1)
            | ~ in(X2,X0) )
          & ( in(X2,X1)
            | in(X2,X0) ) ) ),
    inference(nnf_transformation,[],[f22]) ).

fof(f43,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ( ~ in(X2,X1)
            | ~ in(X2,X0) )
          & ( in(X2,X1)
            | in(X2,X0) ) )
     => ( ( ~ in(sK6(X0,X1),X1)
          | ~ in(sK6(X0,X1),X0) )
        & ( in(sK6(X0,X1),X1)
          | in(sK6(X0,X1),X0) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f44,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ( ( ~ in(sK6(X0,X1),X1)
          | ~ in(sK6(X0,X1),X0) )
        & ( in(sK6(X0,X1),X1)
          | in(sK6(X0,X1),X0) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f42,f43]) ).

fof(f46,plain,
    ! [X3,X0,X1] :
      ( in(X3,X1)
      | ~ in(X3,X0)
      | ~ subset(X0,X1) ),
    inference(cnf_transformation,[],[f29]) ).

fof(f47,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
      | in(sK0(X0,X1),X0) ),
    inference(cnf_transformation,[],[f29]) ).

fof(f48,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
      | ~ in(sK0(X0,X1),X1) ),
    inference(cnf_transformation,[],[f29]) ).

fof(f49,plain,
    ! [X2,X0,X1,X4] :
      ( in(X4,X0)
      | ~ in(X4,X2)
      | set_difference(X0,X1) != X2 ),
    inference(cnf_transformation,[],[f34]) ).

fof(f50,plain,
    ! [X2,X0,X1,X4] :
      ( ~ in(X4,X1)
      | ~ in(X4,X2)
      | set_difference(X0,X1) != X2 ),
    inference(cnf_transformation,[],[f34]) ).

fof(f51,plain,
    ! [X2,X0,X1,X4] :
      ( in(X4,X2)
      | in(X4,X1)
      | ~ in(X4,X0)
      | set_difference(X0,X1) != X2 ),
    inference(cnf_transformation,[],[f34]) ).

fof(f55,plain,
    empty(empty_set),
    inference(cnf_transformation,[],[f6]) ).

fof(f56,plain,
    ( subset(sK2,sK3)
    | empty_set = set_difference(sK2,sK3) ),
    inference(cnf_transformation,[],[f37]) ).

fof(f57,plain,
    ( ~ subset(sK2,sK3)
    | empty_set != set_difference(sK2,sK3) ),
    inference(cnf_transformation,[],[f37]) ).

fof(f61,plain,
    ! [X0,X1] :
      ( X0 = X1
      | in(sK6(X0,X1),X1)
      | in(sK6(X0,X1),X0) ),
    inference(cnf_transformation,[],[f44]) ).

fof(f63,plain,
    ! [X0] : set_difference(X0,empty_set) = X0,
    inference(cnf_transformation,[],[f13]) ).

fof(f64,plain,
    ! [X0] : empty_set = set_difference(empty_set,X0),
    inference(cnf_transformation,[],[f14]) ).

fof(f65,plain,
    ! [X0] :
      ( empty_set = X0
      | ~ empty(X0) ),
    inference(cnf_transformation,[],[f23]) ).

fof(f66,plain,
    ! [X0,X1] :
      ( ~ empty(X1)
      | ~ in(X0,X1) ),
    inference(cnf_transformation,[],[f24]) ).

fof(f68,plain,
    ! [X0,X1,X4] :
      ( in(X4,set_difference(X0,X1))
      | in(X4,X1)
      | ~ in(X4,X0) ),
    inference(equality_resolution,[],[f51]) ).

fof(f69,plain,
    ! [X0,X1,X4] :
      ( ~ in(X4,X1)
      | ~ in(X4,set_difference(X0,X1)) ),
    inference(equality_resolution,[],[f50]) ).

fof(f70,plain,
    ! [X0,X1,X4] :
      ( in(X4,X0)
      | ~ in(X4,set_difference(X0,X1)) ),
    inference(equality_resolution,[],[f49]) ).

cnf(c_50,plain,
    ( ~ in(sK0(X0,X1),X1)
    | subset(X0,X1) ),
    inference(cnf_transformation,[],[f48]) ).

cnf(c_51,plain,
    ( in(sK0(X0,X1),X0)
    | subset(X0,X1) ),
    inference(cnf_transformation,[],[f47]) ).

cnf(c_52,plain,
    ( ~ in(X0,X1)
    | ~ subset(X1,X2)
    | in(X0,X2) ),
    inference(cnf_transformation,[],[f46]) ).

cnf(c_56,plain,
    ( ~ in(X0,X1)
    | in(X0,set_difference(X1,X2))
    | in(X0,X2) ),
    inference(cnf_transformation,[],[f68]) ).

cnf(c_57,plain,
    ( ~ in(X0,set_difference(X1,X2))
    | ~ in(X0,X2) ),
    inference(cnf_transformation,[],[f69]) ).

cnf(c_58,plain,
    ( ~ in(X0,set_difference(X1,X2))
    | in(X0,X1) ),
    inference(cnf_transformation,[],[f70]) ).

cnf(c_59,plain,
    empty(empty_set),
    inference(cnf_transformation,[],[f55]) ).

cnf(c_60,negated_conjecture,
    ( set_difference(sK2,sK3) != empty_set
    | ~ subset(sK2,sK3) ),
    inference(cnf_transformation,[],[f57]) ).

cnf(c_61,negated_conjecture,
    ( set_difference(sK2,sK3) = empty_set
    | subset(sK2,sK3) ),
    inference(cnf_transformation,[],[f56]) ).

cnf(c_66,plain,
    ( X0 = X1
    | in(sK6(X0,X1),X0)
    | in(sK6(X0,X1),X1) ),
    inference(cnf_transformation,[],[f61]) ).

cnf(c_67,plain,
    set_difference(X0,empty_set) = X0,
    inference(cnf_transformation,[],[f63]) ).

cnf(c_68,plain,
    set_difference(empty_set,X0) = empty_set,
    inference(cnf_transformation,[],[f64]) ).

cnf(c_69,plain,
    ( ~ empty(X0)
    | X0 = empty_set ),
    inference(cnf_transformation,[],[f65]) ).

cnf(c_70,plain,
    ( ~ in(X0,X1)
    | ~ empty(X1) ),
    inference(cnf_transformation,[],[f66]) ).

cnf(c_75,plain,
    ( ~ empty(empty_set)
    | empty_set = empty_set ),
    inference(instantiation,[status(thm)],[c_69]) ).

cnf(c_82,plain,
    ( subset(sK2,sK3)
    | set_difference(sK2,sK3) = empty_set ),
    inference(prop_impl_just,[status(thm)],[c_61]) ).

cnf(c_83,plain,
    ( set_difference(sK2,sK3) = empty_set
    | subset(sK2,sK3) ),
    inference(renaming,[status(thm)],[c_82]) ).

cnf(c_378,plain,
    ( X0 != sK2
    | X1 != sK3
    | ~ in(X2,X0)
    | set_difference(sK2,sK3) = empty_set
    | in(X2,X1) ),
    inference(resolution_lifted,[status(thm)],[c_52,c_83]) ).

cnf(c_379,plain,
    ( ~ in(X0,sK2)
    | set_difference(sK2,sK3) = empty_set
    | in(X0,sK3) ),
    inference(unflattening,[status(thm)],[c_378]) ).

cnf(c_415,plain,
    set_difference(sK2,sK3) = sP0_iProver_def,
    definition ).

cnf(c_416,negated_conjecture,
    ( sP0_iProver_def = empty_set
    | subset(sK2,sK3) ),
    inference(demodulation,[status(thm)],[c_61,c_415]) ).

cnf(c_417,negated_conjecture,
    ( sP0_iProver_def != empty_set
    | ~ subset(sK2,sK3) ),
    inference(demodulation,[status(thm)],[c_60]) ).

cnf(c_420,plain,
    ( X0 != X1
    | X2 != X1
    | X2 = X0 ),
    theory(equality) ).

cnf(c_424,plain,
    ( X0 != X1
    | ~ empty(X1)
    | empty(X0) ),
    theory(equality) ).

cnf(c_910,plain,
    ( ~ in(X0,sP0_iProver_def)
    | in(X0,sK2) ),
    inference(superposition,[status(thm)],[c_415,c_58]) ).

cnf(c_957,plain,
    ( ~ in(X0,sK3)
    | ~ in(X0,sP0_iProver_def) ),
    inference(superposition,[status(thm)],[c_415,c_57]) ).

cnf(c_958,plain,
    ( ~ in(X0,X1)
    | ~ in(X0,empty_set) ),
    inference(superposition,[status(thm)],[c_67,c_57]) ).

cnf(c_1004,plain,
    ( ~ in(X0,sK2)
    | in(X0,sK3)
    | in(X0,sP0_iProver_def) ),
    inference(superposition,[status(thm)],[c_415,c_56]) ).

cnf(c_1009,plain,
    ( ~ empty(set_difference(X0,X1))
    | ~ in(X2,X0)
    | in(X2,X1) ),
    inference(superposition,[status(thm)],[c_56,c_70]) ).

cnf(c_1104,plain,
    ( sP0_iProver_def = empty_set
    | in(sK6(sP0_iProver_def,empty_set),empty_set)
    | in(sK6(sP0_iProver_def,empty_set),sP0_iProver_def) ),
    inference(instantiation,[status(thm)],[c_66]) ).

cnf(c_1318,plain,
    ( sP0_iProver_def != X0
    | ~ empty(X0)
    | empty(sP0_iProver_def) ),
    inference(instantiation,[status(thm)],[c_424]) ).

cnf(c_1319,plain,
    ( sP0_iProver_def != empty_set
    | ~ empty(empty_set)
    | empty(sP0_iProver_def) ),
    inference(instantiation,[status(thm)],[c_1318]) ).

cnf(c_1323,plain,
    ( ~ in(sK6(sP0_iProver_def,empty_set),sP0_iProver_def)
    | ~ subset(sP0_iProver_def,X0)
    | in(sK6(sP0_iProver_def,empty_set),X0) ),
    inference(instantiation,[status(thm)],[c_52]) ).

cnf(c_1324,plain,
    ( ~ in(sK6(sP0_iProver_def,empty_set),sP0_iProver_def)
    | ~ subset(sP0_iProver_def,empty_set)
    | in(sK6(sP0_iProver_def,empty_set),empty_set) ),
    inference(instantiation,[status(thm)],[c_1323]) ).

cnf(c_1715,plain,
    ( ~ in(sK6(sP0_iProver_def,empty_set),empty_set)
    | ~ empty(empty_set) ),
    inference(instantiation,[status(thm)],[c_70]) ).

cnf(c_1788,plain,
    ( ~ in(X0,sK2)
    | ~ empty(sP0_iProver_def)
    | in(X0,sK3) ),
    inference(superposition,[status(thm)],[c_415,c_1009]) ).

cnf(c_1790,plain,
    ( ~ in(X0,empty_set)
    | ~ empty(empty_set)
    | in(X0,X1) ),
    inference(superposition,[status(thm)],[c_68,c_1009]) ).

cnf(c_1791,plain,
    ( ~ in(X0,empty_set)
    | in(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_1790,c_59]) ).

cnf(c_1807,plain,
    ( ~ in(X0,sK3)
    | ~ in(X0,sP0_iProver_def) ),
    inference(superposition,[status(thm)],[c_415,c_57]) ).

cnf(c_1816,plain,
    ~ in(X0,empty_set),
    inference(global_subsumption_just,[status(thm)],[c_1791,c_958,c_1791]) ).

cnf(c_1821,plain,
    ( X0 = empty_set
    | in(sK6(X0,empty_set),X0) ),
    inference(superposition,[status(thm)],[c_66,c_1816]) ).

cnf(c_1840,plain,
    ( empty_set != X0
    | sP0_iProver_def != X0
    | empty_set = sP0_iProver_def ),
    inference(instantiation,[status(thm)],[c_420]) ).

cnf(c_1841,plain,
    ( empty_set != empty_set
    | sP0_iProver_def != empty_set
    | empty_set = sP0_iProver_def ),
    inference(instantiation,[status(thm)],[c_1840]) ).

cnf(c_1854,plain,
    ( empty_set = sP0_iProver_def
    | in(sK6(sP0_iProver_def,empty_set),sK2) ),
    inference(superposition,[status(thm)],[c_1821,c_910]) ).

cnf(c_1872,plain,
    ~ in(X0,sP0_iProver_def),
    inference(global_subsumption_just,[status(thm)],[c_1807,c_59,c_60,c_379,c_416,c_910,c_957,c_1319,c_1788]) ).

cnf(c_1875,plain,
    subset(sP0_iProver_def,X0),
    inference(superposition,[status(thm)],[c_51,c_1872]) ).

cnf(c_1876,plain,
    subset(sP0_iProver_def,empty_set),
    inference(instantiation,[status(thm)],[c_1875]) ).

cnf(c_1980,plain,
    empty_set = sP0_iProver_def,
    inference(global_subsumption_just,[status(thm)],[c_1854,c_59,c_75,c_1104,c_1324,c_1715,c_1841,c_1876]) ).

cnf(c_1984,plain,
    ~ in(X0,sP0_iProver_def),
    inference(demodulation,[status(thm)],[c_1816,c_1980]) ).

cnf(c_1993,plain,
    ( sP0_iProver_def != sP0_iProver_def
    | ~ subset(sK2,sK3) ),
    inference(demodulation,[status(thm)],[c_417,c_1980]) ).

cnf(c_1999,plain,
    ~ subset(sK2,sK3),
    inference(equality_resolution_simp,[status(thm)],[c_1993]) ).

cnf(c_2004,plain,
    ( ~ in(X0,sK2)
    | in(X0,sK3) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_1004,c_1984]) ).

cnf(c_2087,plain,
    ( in(sK0(sK2,X0),sK3)
    | subset(sK2,X0) ),
    inference(superposition,[status(thm)],[c_51,c_2004]) ).

cnf(c_2126,plain,
    subset(sK2,sK3),
    inference(superposition,[status(thm)],[c_2087,c_50]) ).

cnf(c_2127,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_2126,c_1999]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SEU131+1 : TPTP v8.1.2. Released v3.3.0.
% 0.06/0.11  % Command  : run_iprover %s %d THM
% 0.11/0.32  % Computer : n028.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 300
% 0.11/0.32  % DateTime : Thu May  2 17:56:02 EDT 2024
% 0.11/0.32  % CPUTime  : 
% 0.16/0.43  Running first-order theorem proving
% 0.16/0.43  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.53/1.12  % SZS status Started for theBenchmark.p
% 3.53/1.12  % SZS status Theorem for theBenchmark.p
% 3.53/1.12  
% 3.53/1.12  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.53/1.12  
% 3.53/1.12  ------  iProver source info
% 3.53/1.12  
% 3.53/1.12  git: date: 2024-05-02 19:28:25 +0000
% 3.53/1.12  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.53/1.12  git: non_committed_changes: false
% 3.53/1.12  
% 3.53/1.12  ------ Parsing...
% 3.53/1.12  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 3.53/1.12  
% 3.53/1.12  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e 
% 3.53/1.12  
% 3.53/1.12  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.53/1.12  
% 3.53/1.12  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.53/1.12  ------ Proving...
% 3.53/1.12  ------ Problem Properties 
% 3.53/1.12  
% 3.53/1.12  
% 3.53/1.12  clauses                                 24
% 3.53/1.12  conjectures                             2
% 3.53/1.12  EPR                                     11
% 3.53/1.12  Horn                                    17
% 3.53/1.12  unary                                   7
% 3.53/1.12  binary                                  9
% 3.53/1.12  lits                                    50
% 3.53/1.12  lits eq                                 12
% 3.53/1.12  fd_pure                                 0
% 3.53/1.12  fd_pseudo                               0
% 3.53/1.12  fd_cond                                 1
% 3.53/1.12  fd_pseudo_cond                          6
% 3.53/1.12  AC symbols                              0
% 3.53/1.12  
% 3.53/1.12  ------ Schedule dynamic 5 is on 
% 3.53/1.12  
% 3.53/1.12  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.53/1.12  
% 3.53/1.12  
% 3.53/1.12  ------ 
% 3.53/1.12  Current options:
% 3.53/1.12  ------ 
% 3.53/1.12  
% 3.53/1.12  
% 3.53/1.12  
% 3.53/1.12  
% 3.53/1.12  ------ Proving...
% 3.53/1.12  
% 3.53/1.12  
% 3.53/1.12  % SZS status Theorem for theBenchmark.p
% 3.53/1.12  
% 3.53/1.12  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.53/1.12  
% 3.53/1.13  
%------------------------------------------------------------------------------