TSTP Solution File: SET652+3 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SET652+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n024.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 : Thu Aug 31 15:08:56 EDT 2023

% Result   : Theorem 10.41s 2.19s
% Output   : CNFRefutation 10.41s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f157)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ilf_type(X1,set_type)
         => ! [X2] :
              ( ilf_type(X2,set_type)
             => ( ( subset(X1,X2)
                  & subset(X0,X1) )
               => subset(X0,X2) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p1) ).

fof(f2,axiom,
    ! [X0] :
      ( ilf_type(X0,binary_relation_type)
     => subset(X0,cross_product(domain_of(X0),range_of(X0))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2) ).

fof(f3,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ilf_type(X1,set_type)
         => ! [X2] :
              ( ilf_type(X2,set_type)
             => ! [X3] :
                  ( ilf_type(X3,set_type)
                 => ( ( subset(X2,X3)
                      & subset(X0,X1) )
                   => subset(cross_product(X0,X2),cross_product(X1,X3)) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3) ).

fof(f4,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ilf_type(X1,set_type)
         => ( ! [X3] :
                ( ilf_type(X3,relation_type(X0,X1))
               => ilf_type(X3,subset_type(cross_product(X0,X1))) )
            & ! [X2] :
                ( ilf_type(X2,subset_type(cross_product(X0,X1)))
               => ilf_type(X2,relation_type(X0,X1)) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4) ).

fof(f6,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ilf_type(X1,set_type)
         => ! [X2] :
              ( ilf_type(X2,relation_type(X0,X1))
             => ( subset(range_of(X2),X1)
                & subset(domain_of(X2),X0) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6) ).

fof(f9,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ilf_type(X1,set_type)
         => ( subset(X0,X1)
          <=> ! [X2] :
                ( ilf_type(X2,set_type)
               => ( member(X2,X0)
                 => member(X2,X1) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9) ).

fof(f15,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ilf_type(X1,set_type)
         => ( ilf_type(X1,subset_type(X0))
          <=> ilf_type(X1,member_type(power_set(X0))) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p15) ).

fof(f17,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => subset(X0,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p17) ).

fof(f18,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ilf_type(X1,set_type)
         => ( member(X0,power_set(X1))
          <=> ! [X2] :
                ( ilf_type(X2,set_type)
               => ( member(X2,X0)
                 => member(X2,X1) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p18) ).

fof(f20,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ( ilf_type(X1,set_type)
            & ~ empty(X1) )
         => ( ilf_type(X0,member_type(X1))
          <=> member(X0,X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p20) ).

fof(f23,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ilf_type(X1,set_type)
         => ! [X2] :
              ( ilf_type(X2,subset_type(cross_product(X0,X1)))
             => relation_like(X2) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p23) ).

fof(f24,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ( empty(X0)
      <=> ! [X1] :
            ( ilf_type(X1,set_type)
           => ~ member(X1,X0) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p24) ).

fof(f26,axiom,
    ! [X0] : ilf_type(X0,set_type),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p26) ).

fof(f27,conjecture,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ilf_type(X1,set_type)
         => ! [X2] :
              ( ilf_type(X2,set_type)
             => ! [X3] :
                  ( ilf_type(X3,relation_type(X2,X0))
                 => ( subset(range_of(X3),X1)
                   => ilf_type(X3,relation_type(X2,X1)) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_14) ).

fof(f28,negated_conjecture,
    ~ ! [X0] :
        ( ilf_type(X0,set_type)
       => ! [X1] :
            ( ilf_type(X1,set_type)
           => ! [X2] :
                ( ilf_type(X2,set_type)
               => ! [X3] :
                    ( ilf_type(X3,relation_type(X2,X0))
                   => ( subset(range_of(X3),X1)
                     => ilf_type(X3,relation_type(X2,X1)) ) ) ) ) ),
    inference(negated_conjecture,[],[f27]) ).

fof(f29,plain,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ilf_type(X1,set_type)
         => ( ! [X2] :
                ( ilf_type(X2,relation_type(X0,X1))
               => ilf_type(X2,subset_type(cross_product(X0,X1))) )
            & ! [X3] :
                ( ilf_type(X3,subset_type(cross_product(X0,X1)))
               => ilf_type(X3,relation_type(X0,X1)) ) ) ) ),
    inference(rectify,[],[f4]) ).

fof(f30,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( subset(X0,X2)
              | ~ subset(X1,X2)
              | ~ subset(X0,X1)
              | ~ ilf_type(X2,set_type) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f31,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( subset(X0,X2)
              | ~ subset(X1,X2)
              | ~ subset(X0,X1)
              | ~ ilf_type(X2,set_type) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(flattening,[],[f30]) ).

fof(f32,plain,
    ! [X0] :
      ( subset(X0,cross_product(domain_of(X0),range_of(X0)))
      | ~ ilf_type(X0,binary_relation_type) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f33,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( subset(cross_product(X0,X2),cross_product(X1,X3))
                  | ~ subset(X2,X3)
                  | ~ subset(X0,X1)
                  | ~ ilf_type(X3,set_type) )
              | ~ ilf_type(X2,set_type) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f34,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( subset(cross_product(X0,X2),cross_product(X1,X3))
                  | ~ subset(X2,X3)
                  | ~ subset(X0,X1)
                  | ~ ilf_type(X3,set_type) )
              | ~ ilf_type(X2,set_type) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(flattening,[],[f33]) ).

fof(f35,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ! [X2] :
                ( ilf_type(X2,subset_type(cross_product(X0,X1)))
                | ~ ilf_type(X2,relation_type(X0,X1)) )
            & ! [X3] :
                ( ilf_type(X3,relation_type(X0,X1))
                | ~ ilf_type(X3,subset_type(cross_product(X0,X1))) ) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f29]) ).

fof(f37,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( subset(range_of(X2),X1)
                & subset(domain_of(X2),X0) )
              | ~ ilf_type(X2,relation_type(X0,X1)) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f40,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( subset(X0,X1)
          <=> ! [X2] :
                ( member(X2,X1)
                | ~ member(X2,X0)
                | ~ ilf_type(X2,set_type) ) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f41,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( subset(X0,X1)
          <=> ! [X2] :
                ( member(X2,X1)
                | ~ member(X2,X0)
                | ~ ilf_type(X2,set_type) ) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(flattening,[],[f40]) ).

fof(f46,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ilf_type(X1,subset_type(X0))
          <=> ilf_type(X1,member_type(power_set(X0))) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f48,plain,
    ! [X0] :
      ( subset(X0,X0)
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f17]) ).

fof(f49,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( member(X0,power_set(X1))
          <=> ! [X2] :
                ( member(X2,X1)
                | ~ member(X2,X0)
                | ~ ilf_type(X2,set_type) ) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f18]) ).

fof(f50,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( member(X0,power_set(X1))
          <=> ! [X2] :
                ( member(X2,X1)
                | ~ member(X2,X0)
                | ~ ilf_type(X2,set_type) ) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(flattening,[],[f49]) ).

fof(f52,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ilf_type(X0,member_type(X1))
          <=> member(X0,X1) )
          | ~ ilf_type(X1,set_type)
          | empty(X1) )
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f20]) ).

fof(f53,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ilf_type(X0,member_type(X1))
          <=> member(X0,X1) )
          | ~ ilf_type(X1,set_type)
          | empty(X1) )
      | ~ ilf_type(X0,set_type) ),
    inference(flattening,[],[f52]) ).

fof(f58,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( relation_like(X2)
              | ~ ilf_type(X2,subset_type(cross_product(X0,X1))) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f23]) ).

fof(f59,plain,
    ! [X0] :
      ( ( empty(X0)
      <=> ! [X1] :
            ( ~ member(X1,X0)
            | ~ ilf_type(X1,set_type) ) )
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f24]) ).

fof(f62,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ~ ilf_type(X3,relation_type(X2,X1))
                  & subset(range_of(X3),X1)
                  & ilf_type(X3,relation_type(X2,X0)) )
              & ilf_type(X2,set_type) )
          & ilf_type(X1,set_type) )
      & ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f28]) ).

fof(f63,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ~ ilf_type(X3,relation_type(X2,X1))
                  & subset(range_of(X3),X1)
                  & ilf_type(X3,relation_type(X2,X0)) )
              & ilf_type(X2,set_type) )
          & ilf_type(X1,set_type) )
      & ilf_type(X0,set_type) ),
    inference(flattening,[],[f62]) ).

fof(f70,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( subset(X0,X1)
              | ? [X2] :
                  ( ~ member(X2,X1)
                  & member(X2,X0)
                  & ilf_type(X2,set_type) ) )
            & ( ! [X2] :
                  ( member(X2,X1)
                  | ~ member(X2,X0)
                  | ~ ilf_type(X2,set_type) )
              | ~ subset(X0,X1) ) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(nnf_transformation,[],[f41]) ).

fof(f71,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( subset(X0,X1)
              | ? [X2] :
                  ( ~ member(X2,X1)
                  & member(X2,X0)
                  & ilf_type(X2,set_type) ) )
            & ( ! [X3] :
                  ( member(X3,X1)
                  | ~ member(X3,X0)
                  | ~ ilf_type(X3,set_type) )
              | ~ subset(X0,X1) ) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(rectify,[],[f70]) ).

fof(f72,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ~ member(X2,X1)
          & member(X2,X0)
          & ilf_type(X2,set_type) )
     => ( ~ member(sK2(X0,X1),X1)
        & member(sK2(X0,X1),X0)
        & ilf_type(sK2(X0,X1),set_type) ) ),
    introduced(choice_axiom,[]) ).

fof(f73,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( subset(X0,X1)
              | ( ~ member(sK2(X0,X1),X1)
                & member(sK2(X0,X1),X0)
                & ilf_type(sK2(X0,X1),set_type) ) )
            & ( ! [X3] :
                  ( member(X3,X1)
                  | ~ member(X3,X0)
                  | ~ ilf_type(X3,set_type) )
              | ~ subset(X0,X1) ) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f71,f72]) ).

fof(f78,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( ilf_type(X1,subset_type(X0))
              | ~ ilf_type(X1,member_type(power_set(X0))) )
            & ( ilf_type(X1,member_type(power_set(X0)))
              | ~ ilf_type(X1,subset_type(X0)) ) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(nnf_transformation,[],[f46]) ).

fof(f81,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( member(X0,power_set(X1))
              | ? [X2] :
                  ( ~ member(X2,X1)
                  & member(X2,X0)
                  & ilf_type(X2,set_type) ) )
            & ( ! [X2] :
                  ( member(X2,X1)
                  | ~ member(X2,X0)
                  | ~ ilf_type(X2,set_type) )
              | ~ member(X0,power_set(X1)) ) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(nnf_transformation,[],[f50]) ).

fof(f82,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( member(X0,power_set(X1))
              | ? [X2] :
                  ( ~ member(X2,X1)
                  & member(X2,X0)
                  & ilf_type(X2,set_type) ) )
            & ( ! [X3] :
                  ( member(X3,X1)
                  | ~ member(X3,X0)
                  | ~ ilf_type(X3,set_type) )
              | ~ member(X0,power_set(X1)) ) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(rectify,[],[f81]) ).

fof(f83,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ~ member(X2,X1)
          & member(X2,X0)
          & ilf_type(X2,set_type) )
     => ( ~ member(sK5(X0,X1),X1)
        & member(sK5(X0,X1),X0)
        & ilf_type(sK5(X0,X1),set_type) ) ),
    introduced(choice_axiom,[]) ).

fof(f84,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( member(X0,power_set(X1))
              | ( ~ member(sK5(X0,X1),X1)
                & member(sK5(X0,X1),X0)
                & ilf_type(sK5(X0,X1),set_type) ) )
            & ( ! [X3] :
                  ( member(X3,X1)
                  | ~ member(X3,X0)
                  | ~ ilf_type(X3,set_type) )
              | ~ member(X0,power_set(X1)) ) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f82,f83]) ).

fof(f85,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( ilf_type(X0,member_type(X1))
              | ~ member(X0,X1) )
            & ( member(X0,X1)
              | ~ ilf_type(X0,member_type(X1)) ) )
          | ~ ilf_type(X1,set_type)
          | empty(X1) )
      | ~ ilf_type(X0,set_type) ),
    inference(nnf_transformation,[],[f53]) ).

fof(f94,plain,
    ! [X0] :
      ( ( ( empty(X0)
          | ? [X1] :
              ( member(X1,X0)
              & ilf_type(X1,set_type) ) )
        & ( ! [X1] :
              ( ~ member(X1,X0)
              | ~ ilf_type(X1,set_type) )
          | ~ empty(X0) ) )
      | ~ ilf_type(X0,set_type) ),
    inference(nnf_transformation,[],[f59]) ).

fof(f95,plain,
    ! [X0] :
      ( ( ( empty(X0)
          | ? [X1] :
              ( member(X1,X0)
              & ilf_type(X1,set_type) ) )
        & ( ! [X2] :
              ( ~ member(X2,X0)
              | ~ ilf_type(X2,set_type) )
          | ~ empty(X0) ) )
      | ~ ilf_type(X0,set_type) ),
    inference(rectify,[],[f94]) ).

fof(f96,plain,
    ! [X0] :
      ( ? [X1] :
          ( member(X1,X0)
          & ilf_type(X1,set_type) )
     => ( member(sK10(X0),X0)
        & ilf_type(sK10(X0),set_type) ) ),
    introduced(choice_axiom,[]) ).

fof(f97,plain,
    ! [X0] :
      ( ( ( empty(X0)
          | ( member(sK10(X0),X0)
            & ilf_type(sK10(X0),set_type) ) )
        & ( ! [X2] :
              ( ~ member(X2,X0)
              | ~ ilf_type(X2,set_type) )
          | ~ empty(X0) ) )
      | ~ ilf_type(X0,set_type) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f95,f96]) ).

fof(f98,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( ? [X2] :
                ( ? [X3] :
                    ( ~ ilf_type(X3,relation_type(X2,X1))
                    & subset(range_of(X3),X1)
                    & ilf_type(X3,relation_type(X2,X0)) )
                & ilf_type(X2,set_type) )
            & ilf_type(X1,set_type) )
        & ilf_type(X0,set_type) )
   => ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ~ ilf_type(X3,relation_type(X2,X1))
                  & subset(range_of(X3),X1)
                  & ilf_type(X3,relation_type(X2,sK11)) )
              & ilf_type(X2,set_type) )
          & ilf_type(X1,set_type) )
      & ilf_type(sK11,set_type) ) ),
    introduced(choice_axiom,[]) ).

fof(f99,plain,
    ( ? [X1] :
        ( ? [X2] :
            ( ? [X3] :
                ( ~ ilf_type(X3,relation_type(X2,X1))
                & subset(range_of(X3),X1)
                & ilf_type(X3,relation_type(X2,sK11)) )
            & ilf_type(X2,set_type) )
        & ilf_type(X1,set_type) )
   => ( ? [X2] :
          ( ? [X3] :
              ( ~ ilf_type(X3,relation_type(X2,sK12))
              & subset(range_of(X3),sK12)
              & ilf_type(X3,relation_type(X2,sK11)) )
          & ilf_type(X2,set_type) )
      & ilf_type(sK12,set_type) ) ),
    introduced(choice_axiom,[]) ).

fof(f100,plain,
    ( ? [X2] :
        ( ? [X3] :
            ( ~ ilf_type(X3,relation_type(X2,sK12))
            & subset(range_of(X3),sK12)
            & ilf_type(X3,relation_type(X2,sK11)) )
        & ilf_type(X2,set_type) )
   => ( ? [X3] :
          ( ~ ilf_type(X3,relation_type(sK13,sK12))
          & subset(range_of(X3),sK12)
          & ilf_type(X3,relation_type(sK13,sK11)) )
      & ilf_type(sK13,set_type) ) ),
    introduced(choice_axiom,[]) ).

fof(f101,plain,
    ( ? [X3] :
        ( ~ ilf_type(X3,relation_type(sK13,sK12))
        & subset(range_of(X3),sK12)
        & ilf_type(X3,relation_type(sK13,sK11)) )
   => ( ~ ilf_type(sK14,relation_type(sK13,sK12))
      & subset(range_of(sK14),sK12)
      & ilf_type(sK14,relation_type(sK13,sK11)) ) ),
    introduced(choice_axiom,[]) ).

fof(f102,plain,
    ( ~ ilf_type(sK14,relation_type(sK13,sK12))
    & subset(range_of(sK14),sK12)
    & ilf_type(sK14,relation_type(sK13,sK11))
    & ilf_type(sK13,set_type)
    & ilf_type(sK12,set_type)
    & ilf_type(sK11,set_type) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK11,sK12,sK13,sK14])],[f63,f101,f100,f99,f98]) ).

fof(f103,plain,
    ! [X2,X0,X1] :
      ( subset(X0,X2)
      | ~ subset(X1,X2)
      | ~ subset(X0,X1)
      | ~ ilf_type(X2,set_type)
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X0,set_type) ),
    inference(cnf_transformation,[],[f31]) ).

fof(f104,plain,
    ! [X0] :
      ( subset(X0,cross_product(domain_of(X0),range_of(X0)))
      | ~ ilf_type(X0,binary_relation_type) ),
    inference(cnf_transformation,[],[f32]) ).

fof(f105,plain,
    ! [X2,X3,X0,X1] :
      ( subset(cross_product(X0,X2),cross_product(X1,X3))
      | ~ subset(X2,X3)
      | ~ subset(X0,X1)
      | ~ ilf_type(X3,set_type)
      | ~ ilf_type(X2,set_type)
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X0,set_type) ),
    inference(cnf_transformation,[],[f34]) ).

fof(f106,plain,
    ! [X3,X0,X1] :
      ( ilf_type(X3,relation_type(X0,X1))
      | ~ ilf_type(X3,subset_type(cross_product(X0,X1)))
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X0,set_type) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f107,plain,
    ! [X2,X0,X1] :
      ( ilf_type(X2,subset_type(cross_product(X0,X1)))
      | ~ ilf_type(X2,relation_type(X0,X1))
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X0,set_type) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f109,plain,
    ! [X2,X0,X1] :
      ( subset(domain_of(X2),X0)
      | ~ ilf_type(X2,relation_type(X0,X1))
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X0,set_type) ),
    inference(cnf_transformation,[],[f37]) ).

fof(f115,plain,
    ! [X3,X0,X1] :
      ( member(X3,X1)
      | ~ member(X3,X0)
      | ~ ilf_type(X3,set_type)
      | ~ subset(X0,X1)
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X0,set_type) ),
    inference(cnf_transformation,[],[f73]) ).

fof(f127,plain,
    ! [X0,X1] :
      ( ilf_type(X1,subset_type(X0))
      | ~ ilf_type(X1,member_type(power_set(X0)))
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X0,set_type) ),
    inference(cnf_transformation,[],[f78]) ).

fof(f129,plain,
    ! [X0] :
      ( subset(X0,X0)
      | ~ ilf_type(X0,set_type) ),
    inference(cnf_transformation,[],[f48]) ).

fof(f132,plain,
    ! [X0,X1] :
      ( member(X0,power_set(X1))
      | member(sK5(X0,X1),X0)
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X0,set_type) ),
    inference(cnf_transformation,[],[f84]) ).

fof(f133,plain,
    ! [X0,X1] :
      ( member(X0,power_set(X1))
      | ~ member(sK5(X0,X1),X1)
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X0,set_type) ),
    inference(cnf_transformation,[],[f84]) ).

fof(f137,plain,
    ! [X0,X1] :
      ( ilf_type(X0,member_type(X1))
      | ~ member(X0,X1)
      | ~ ilf_type(X1,set_type)
      | empty(X1)
      | ~ ilf_type(X0,set_type) ),
    inference(cnf_transformation,[],[f85]) ).

fof(f145,plain,
    ! [X2,X0,X1] :
      ( relation_like(X2)
      | ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X0,set_type) ),
    inference(cnf_transformation,[],[f58]) ).

fof(f146,plain,
    ! [X2,X0] :
      ( ~ member(X2,X0)
      | ~ ilf_type(X2,set_type)
      | ~ empty(X0)
      | ~ ilf_type(X0,set_type) ),
    inference(cnf_transformation,[],[f97]) ).

fof(f150,plain,
    ! [X0] : ilf_type(X0,set_type),
    inference(cnf_transformation,[],[f26]) ).

fof(f154,plain,
    ilf_type(sK14,relation_type(sK13,sK11)),
    inference(cnf_transformation,[],[f102]) ).

fof(f155,plain,
    subset(range_of(sK14),sK12),
    inference(cnf_transformation,[],[f102]) ).

fof(f156,plain,
    ~ ilf_type(sK14,relation_type(sK13,sK12)),
    inference(cnf_transformation,[],[f102]) ).

cnf(c_49,plain,
    ( ~ subset(X0,X1)
    | ~ subset(X1,X2)
    | ~ ilf_type(X0,set_type)
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type)
    | subset(X0,X2) ),
    inference(cnf_transformation,[],[f103]) ).

cnf(c_50,plain,
    ( ~ ilf_type(X0,binary_relation_type)
    | subset(X0,cross_product(domain_of(X0),range_of(X0))) ),
    inference(cnf_transformation,[],[f104]) ).

cnf(c_51,plain,
    ( ~ subset(X0,X1)
    | ~ subset(X2,X3)
    | ~ ilf_type(X0,set_type)
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X3,set_type)
    | subset(cross_product(X0,X2),cross_product(X1,X3)) ),
    inference(cnf_transformation,[],[f105]) ).

cnf(c_52,plain,
    ( ~ ilf_type(X0,relation_type(X1,X2))
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type)
    | ilf_type(X0,subset_type(cross_product(X1,X2))) ),
    inference(cnf_transformation,[],[f107]) ).

cnf(c_53,plain,
    ( ~ ilf_type(X0,subset_type(cross_product(X1,X2)))
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type)
    | ilf_type(X0,relation_type(X1,X2)) ),
    inference(cnf_transformation,[],[f106]) ).

cnf(c_56,plain,
    ( ~ ilf_type(X0,relation_type(X1,X2))
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type)
    | subset(domain_of(X0),X1) ),
    inference(cnf_transformation,[],[f109]) ).

cnf(c_64,plain,
    ( ~ subset(X0,X1)
    | ~ member(X2,X0)
    | ~ ilf_type(X0,set_type)
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type)
    | member(X2,X1) ),
    inference(cnf_transformation,[],[f115]) ).

cnf(c_68,plain,
    ( ~ ilf_type(X0,set_type)
    | ~ relation_like(X0)
    | ilf_type(X0,binary_relation_type) ),
    inference(cnf_transformation,[],[f157]) ).

cnf(c_71,plain,
    ( ~ ilf_type(X0,member_type(power_set(X1)))
    | ~ ilf_type(X0,set_type)
    | ~ ilf_type(X1,set_type)
    | ilf_type(X0,subset_type(X1)) ),
    inference(cnf_transformation,[],[f127]) ).

cnf(c_74,plain,
    ( ~ ilf_type(X0,set_type)
    | subset(X0,X0) ),
    inference(cnf_transformation,[],[f129]) ).

cnf(c_75,plain,
    ( ~ member(sK5(X0,X1),X1)
    | ~ ilf_type(X0,set_type)
    | ~ ilf_type(X1,set_type)
    | member(X0,power_set(X1)) ),
    inference(cnf_transformation,[],[f133]) ).

cnf(c_76,plain,
    ( ~ ilf_type(X0,set_type)
    | ~ ilf_type(X1,set_type)
    | member(sK5(X0,X1),X0)
    | member(X0,power_set(X1)) ),
    inference(cnf_transformation,[],[f132]) ).

cnf(c_81,plain,
    ( ~ member(X0,X1)
    | ~ ilf_type(X0,set_type)
    | ~ ilf_type(X1,set_type)
    | ilf_type(X0,member_type(X1))
    | empty(X1) ),
    inference(cnf_transformation,[],[f137]) ).

cnf(c_90,plain,
    ( ~ ilf_type(X0,subset_type(cross_product(X1,X2)))
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type)
    | relation_like(X0) ),
    inference(cnf_transformation,[],[f145]) ).

cnf(c_93,plain,
    ( ~ member(X0,X1)
    | ~ ilf_type(X0,set_type)
    | ~ ilf_type(X1,set_type)
    | ~ empty(X1) ),
    inference(cnf_transformation,[],[f146]) ).

cnf(c_95,plain,
    ilf_type(X0,set_type),
    inference(cnf_transformation,[],[f150]) ).

cnf(c_96,negated_conjecture,
    ~ ilf_type(sK14,relation_type(sK13,sK12)),
    inference(cnf_transformation,[],[f156]) ).

cnf(c_97,negated_conjecture,
    subset(range_of(sK14),sK12),
    inference(cnf_transformation,[],[f155]) ).

cnf(c_98,negated_conjecture,
    ilf_type(sK14,relation_type(sK13,sK11)),
    inference(cnf_transformation,[],[f154]) ).

cnf(c_142,plain,
    subset(X0,X0),
    inference(global_subsumption_just,[status(thm)],[c_74,c_95,c_74]) ).

cnf(c_172,plain,
    ( ~ relation_like(X0)
    | ilf_type(X0,binary_relation_type) ),
    inference(global_subsumption_just,[status(thm)],[c_68,c_95,c_68]) ).

cnf(c_208,plain,
    ( ~ ilf_type(X1,set_type)
    | member(sK5(X0,X1),X0)
    | member(X0,power_set(X1)) ),
    inference(global_subsumption_just,[status(thm)],[c_76,c_95,c_76]) ).

cnf(c_209,plain,
    ( ~ ilf_type(X0,set_type)
    | member(sK5(X1,X0),X1)
    | member(X1,power_set(X0)) ),
    inference(renaming,[status(thm)],[c_208]) ).

cnf(c_210,plain,
    ( member(sK5(X1,X0),X1)
    | member(X1,power_set(X0)) ),
    inference(global_subsumption_just,[status(thm)],[c_209,c_95,c_209]) ).

cnf(c_211,plain,
    ( member(sK5(X0,X1),X0)
    | member(X0,power_set(X1)) ),
    inference(renaming,[status(thm)],[c_210]) ).

cnf(c_217,plain,
    ( ilf_type(X0,member_type(X1))
    | ~ ilf_type(X1,set_type)
    | ~ member(X0,X1) ),
    inference(global_subsumption_just,[status(thm)],[c_81,c_95,c_93,c_81]) ).

cnf(c_218,plain,
    ( ~ member(X0,X1)
    | ~ ilf_type(X1,set_type)
    | ilf_type(X0,member_type(X1)) ),
    inference(renaming,[status(thm)],[c_217]) ).

cnf(c_220,plain,
    ( ~ member(sK5(X0,X1),X1)
    | ~ ilf_type(X1,set_type)
    | member(X0,power_set(X1)) ),
    inference(global_subsumption_just,[status(thm)],[c_75,c_95,c_75]) ).

cnf(c_224,plain,
    ( ~ ilf_type(X0,member_type(power_set(X1)))
    | ~ ilf_type(X1,set_type)
    | ilf_type(X0,subset_type(X1)) ),
    inference(global_subsumption_just,[status(thm)],[c_71,c_95,c_71]) ).

cnf(c_242,plain,
    ( ~ member(X2,X0)
    | ~ subset(X0,X1)
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type)
    | member(X2,X1) ),
    inference(global_subsumption_just,[status(thm)],[c_64,c_95,c_64]) ).

cnf(c_243,plain,
    ( ~ subset(X0,X1)
    | ~ member(X2,X0)
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type)
    | member(X2,X1) ),
    inference(renaming,[status(thm)],[c_242]) ).

cnf(c_244,plain,
    ( ~ subset(X1,X2)
    | ~ subset(X0,X1)
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type)
    | subset(X0,X2) ),
    inference(global_subsumption_just,[status(thm)],[c_49,c_95,c_49]) ).

cnf(c_245,plain,
    ( ~ subset(X0,X1)
    | ~ subset(X1,X2)
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type)
    | subset(X0,X2) ),
    inference(renaming,[status(thm)],[c_244]) ).

cnf(c_248,plain,
    ( ~ subset(X2,X3)
    | ~ subset(X0,X1)
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X3,set_type)
    | subset(cross_product(X0,X2),cross_product(X1,X3)) ),
    inference(global_subsumption_just,[status(thm)],[c_51,c_95,c_51]) ).

cnf(c_249,plain,
    ( ~ subset(X0,X1)
    | ~ subset(X2,X3)
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X3,set_type)
    | subset(cross_product(X0,X2),cross_product(X1,X3)) ),
    inference(renaming,[status(thm)],[c_248]) ).

cnf(c_258,plain,
    ( ~ relation_like(X0)
    | subset(X0,cross_product(domain_of(X0),range_of(X0))) ),
    inference(prop_impl_just,[status(thm)],[c_50,c_172]) ).

cnf(c_392,plain,
    ( ~ member(X0,X1)
    | ilf_type(X0,member_type(X1)) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_218,c_95]) ).

cnf(c_393,plain,
    ( ~ ilf_type(X0,subset_type(cross_product(X1,X2)))
    | ~ ilf_type(X2,set_type)
    | relation_like(X0) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_90,c_95]) ).

cnf(c_396,plain,
    ( ~ subset(X0,X1)
    | ~ member(X2,X0)
    | ~ ilf_type(X2,set_type)
    | member(X2,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_243,c_95]) ).

cnf(c_399,plain,
    ( ~ subset(X0,X1)
    | ~ subset(X2,X3)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X3,set_type)
    | subset(cross_product(X0,X2),cross_product(X1,X3)) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_249,c_95]) ).

cnf(c_400,plain,
    ( ~ subset(X0,X1)
    | ~ subset(X1,X2)
    | ~ ilf_type(X2,set_type)
    | subset(X0,X2) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_245,c_95]) ).

cnf(c_401,plain,
    ( ~ member(sK5(X0,X1),X1)
    | member(X0,power_set(X1)) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_220,c_95]) ).

cnf(c_402,plain,
    ( ~ ilf_type(X0,member_type(power_set(X1)))
    | ilf_type(X0,subset_type(X1)) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_224,c_95]) ).

cnf(c_404,plain,
    ( ~ ilf_type(X0,subset_type(cross_product(X1,X2)))
    | ~ ilf_type(X2,set_type)
    | ilf_type(X0,relation_type(X1,X2)) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_53,c_95]) ).

cnf(c_405,plain,
    ( ~ ilf_type(X0,relation_type(X1,X2))
    | ~ ilf_type(X2,set_type)
    | ilf_type(X0,subset_type(cross_product(X1,X2))) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_52,c_95]) ).

cnf(c_406,plain,
    ( ~ ilf_type(X0,relation_type(X1,X2))
    | ~ ilf_type(X2,set_type)
    | subset(domain_of(X0),X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_56,c_95]) ).

cnf(c_502,plain,
    ( ~ ilf_type(X0,subset_type(cross_product(X1,X2)))
    | relation_like(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_393,c_95]) ).

cnf(c_524,plain,
    ( ~ ilf_type(X0,relation_type(X1,X2))
    | subset(domain_of(X0),X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_406,c_95]) ).

cnf(c_564,plain,
    ( ~ ilf_type(X0,subset_type(cross_product(X1,X2)))
    | ilf_type(X0,relation_type(X1,X2)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_404,c_95]) ).

cnf(c_575,plain,
    ( ~ ilf_type(X0,relation_type(X1,X2))
    | ilf_type(X0,subset_type(cross_product(X1,X2))) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_405,c_95]) ).

cnf(c_587,plain,
    ( ~ subset(X0,X1)
    | ~ member(X2,X0)
    | member(X2,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_396,c_95]) ).

cnf(c_601,plain,
    ( ~ subset(X0,X1)
    | ~ subset(X1,X2)
    | subset(X0,X2) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_400,c_95]) ).

cnf(c_630,plain,
    ( ~ subset(X0,X1)
    | ~ subset(X2,X3)
    | subset(cross_product(X0,X2),cross_product(X1,X3)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_399,c_95,c_95]) ).

cnf(c_1048,plain,
    ( ilf_type(X0,relation_type(X1,X2))
    | ~ ilf_type(X0,subset_type(cross_product(X1,X2))) ),
    inference(prop_impl_just,[status(thm)],[c_564]) ).

cnf(c_1049,plain,
    ( ~ ilf_type(X0,subset_type(cross_product(X1,X2)))
    | ilf_type(X0,relation_type(X1,X2)) ),
    inference(renaming,[status(thm)],[c_1048]) ).

cnf(c_1052,plain,
    ( ilf_type(X0,subset_type(X1))
    | ~ ilf_type(X0,member_type(power_set(X1))) ),
    inference(prop_impl_just,[status(thm)],[c_402]) ).

cnf(c_1053,plain,
    ( ~ ilf_type(X0,member_type(power_set(X1)))
    | ilf_type(X0,subset_type(X1)) ),
    inference(renaming,[status(thm)],[c_1052]) ).

cnf(c_1062,plain,
    ( ~ ilf_type(X0,relation_type(X1,X2))
    | subset(domain_of(X0),X1) ),
    inference(prop_impl_just,[status(thm)],[c_524]) ).

cnf(c_1064,plain,
    ( ~ ilf_type(X0,relation_type(X1,X2))
    | relation_like(X0) ),
    inference(prop_impl_just,[status(thm)],[c_502,c_575]) ).

cnf(c_1068,plain,
    ( ~ relation_like(X0)
    | subset(X0,cross_product(domain_of(X0),range_of(X0))) ),
    inference(prop_impl_just,[status(thm)],[c_258]) ).

cnf(c_1076,plain,
    ( ~ member(sK5(X0,X1),X1)
    | member(X0,power_set(X1)) ),
    inference(prop_impl_just,[status(thm)],[c_401]) ).

cnf(c_1080,plain,
    ( member(X0,power_set(X1))
    | member(sK5(X0,X1),X0) ),
    inference(prop_impl_just,[status(thm)],[c_211]) ).

cnf(c_1081,plain,
    ( member(sK5(X0,X1),X0)
    | member(X0,power_set(X1)) ),
    inference(renaming,[status(thm)],[c_1080]) ).

cnf(c_1082,plain,
    ( ~ member(X0,X1)
    | ilf_type(X0,member_type(X1)) ),
    inference(prop_impl_just,[status(thm)],[c_392]) ).

cnf(c_2528,plain,
    relation_like(sK14),
    inference(superposition,[status(thm)],[c_98,c_1064]) ).

cnf(c_2590,plain,
    ( ~ subset(cross_product(X0,X1),X2)
    | ~ subset(X3,X0)
    | ~ subset(X4,X1)
    | subset(cross_product(X3,X4),X2) ),
    inference(superposition,[status(thm)],[c_630,c_601]) ).

cnf(c_2632,plain,
    subset(domain_of(sK14),sK13),
    inference(superposition,[status(thm)],[c_98,c_1062]) ).

cnf(c_2784,plain,
    ( ~ subset(cross_product(domain_of(X0),range_of(X0)),X1)
    | ~ relation_like(X0)
    | subset(X0,X1) ),
    inference(superposition,[status(thm)],[c_1068,c_601]) ).

cnf(c_2987,plain,
    ( ~ subset(X0,X1)
    | ~ subset(X2,X3)
    | ~ subset(X4,X0)
    | ~ subset(X5,X2)
    | subset(cross_product(X4,X5),cross_product(X1,X3)) ),
    inference(superposition,[status(thm)],[c_630,c_2590]) ).

cnf(c_3233,plain,
    ( ~ member(X0,power_set(X1))
    | ilf_type(X0,subset_type(X1)) ),
    inference(superposition,[status(thm)],[c_1082,c_1053]) ).

cnf(c_7136,plain,
    ( ~ subset(X0,domain_of(sK14))
    | ~ subset(X1,X2)
    | ~ subset(X3,X1)
    | subset(cross_product(X0,X3),cross_product(sK13,X2)) ),
    inference(superposition,[status(thm)],[c_2632,c_2987]) ).

cnf(c_10738,plain,
    ( ~ subset(X0,domain_of(sK14))
    | ~ subset(X1,range_of(sK14))
    | subset(cross_product(X0,X1),cross_product(sK13,sK12)) ),
    inference(superposition,[status(thm)],[c_97,c_7136]) ).

cnf(c_12546,plain,
    ( ~ subset(domain_of(X0),domain_of(sK14))
    | ~ subset(range_of(X0),range_of(sK14))
    | ~ relation_like(X0)
    | subset(X0,cross_product(sK13,sK12)) ),
    inference(superposition,[status(thm)],[c_10738,c_2784]) ).

cnf(c_44749,plain,
    ( ~ subset(domain_of(sK14),domain_of(sK14))
    | ~ relation_like(sK14)
    | subset(sK14,cross_product(sK13,sK12)) ),
    inference(superposition,[status(thm)],[c_142,c_12546]) ).

cnf(c_44767,plain,
    subset(sK14,cross_product(sK13,sK12)),
    inference(forward_subsumption_resolution,[status(thm)],[c_44749,c_2528,c_142]) ).

cnf(c_45007,plain,
    ( ~ member(X0,sK14)
    | member(X0,cross_product(sK13,sK12)) ),
    inference(superposition,[status(thm)],[c_44767,c_587]) ).

cnf(c_46944,plain,
    ( ~ member(sK5(X0,cross_product(sK13,sK12)),sK14)
    | member(X0,power_set(cross_product(sK13,sK12))) ),
    inference(superposition,[status(thm)],[c_45007,c_1076]) ).

cnf(c_50083,plain,
    member(sK14,power_set(cross_product(sK13,sK12))),
    inference(superposition,[status(thm)],[c_1081,c_46944]) ).

cnf(c_50124,plain,
    ilf_type(sK14,subset_type(cross_product(sK13,sK12))),
    inference(superposition,[status(thm)],[c_50083,c_3233]) ).

cnf(c_50135,plain,
    ilf_type(sK14,relation_type(sK13,sK12)),
    inference(superposition,[status(thm)],[c_50124,c_1049]) ).

cnf(c_50137,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_50135,c_96]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : SET652+3 : TPTP v8.1.2. Released v2.2.0.
% 0.08/0.14  % Command  : run_iprover %s %d THM
% 0.14/0.35  % Computer : n024.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Sat Aug 26 12:32:54 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.21/0.49  Running first-order theorem proving
% 0.21/0.49  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 10.41/2.19  % SZS status Started for theBenchmark.p
% 10.41/2.19  % SZS status Theorem for theBenchmark.p
% 10.41/2.19  
% 10.41/2.19  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 10.41/2.19  
% 10.41/2.19  ------  iProver source info
% 10.41/2.19  
% 10.41/2.19  git: date: 2023-05-31 18:12:56 +0000
% 10.41/2.19  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 10.41/2.19  git: non_committed_changes: false
% 10.41/2.19  git: last_make_outside_of_git: false
% 10.41/2.19  
% 10.41/2.19  ------ Parsing...
% 10.41/2.19  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 10.41/2.19  
% 10.41/2.19  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e  sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e 
% 10.41/2.19  
% 10.41/2.19  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 10.41/2.19  
% 10.41/2.19  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 10.41/2.19  ------ Proving...
% 10.41/2.19  ------ Problem Properties 
% 10.41/2.19  
% 10.41/2.19  
% 10.41/2.19  clauses                                 38
% 10.41/2.19  conjectures                             3
% 10.41/2.19  EPR                                     9
% 10.41/2.19  Horn                                    32
% 10.41/2.19  unary                                   9
% 10.41/2.19  binary                                  21
% 10.41/2.19  lits                                    75
% 10.41/2.19  lits eq                                 2
% 10.41/2.19  fd_pure                                 0
% 10.41/2.19  fd_pseudo                               0
% 10.41/2.19  fd_cond                                 0
% 10.41/2.19  fd_pseudo_cond                          0
% 10.41/2.19  AC symbols                              0
% 10.41/2.19  
% 10.41/2.19  ------ Schedule dynamic 5 is on 
% 10.41/2.19  
% 10.41/2.19  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 10.41/2.19  
% 10.41/2.19  
% 10.41/2.19  ------ 
% 10.41/2.19  Current options:
% 10.41/2.19  ------ 
% 10.41/2.19  
% 10.41/2.19  
% 10.41/2.19  
% 10.41/2.19  
% 10.41/2.19  ------ Proving...
% 10.41/2.19  
% 10.41/2.19  
% 10.41/2.19  % SZS status Theorem for theBenchmark.p
% 10.41/2.19  
% 10.41/2.19  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 10.41/2.19  
% 10.41/2.20  
%------------------------------------------------------------------------------