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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SET662+3 : TPTP v9.3.1. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM

% Computer : n010.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 02:47:43 PM UTC 2026

% Result   : Theorem 1.34s 1.19s
% Output   : CNFRefutation 1.34s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   70 (  13 unt;   1 def)
%            Number of atoms       :  247 (   1 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  298 ( 124   ~; 121   |;  24   &)
%                                         (  10 <=>;  19  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   6 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  :    6 (   4 usr;   2 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   4 con; 0-2 aty)
%            Number of variables   :  136 (   0 sgn 130   !;   6   ?;  60   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f2,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',p2) ).

fof(f4,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ~ member(X0,empty_set) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4) ).

fof(f8,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',p7) ).

fof(f12,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',p11) ).

fof(f13,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',p12) ).

fof(f15,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',p14) ).

fof(f21,axiom,
    ! [X0] : ilf_type(X0,set_type),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p20) ).

fof(f22,conjecture,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ilf_type(X1,set_type)
         => ilf_type(empty_set,relation_type(X0,X1)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_25) ).

fof(f23,negated_conjecture,
    ~ ! [X0] :
        ( ilf_type(X0,set_type)
       => ! [X1] :
            ( ilf_type(X1,set_type)
           => ilf_type(empty_set,relation_type(X0,X1)) ) ),
    inference(negated_conjecture,[status(cth)],[f22]) ).

fof(f26,plain,
    ! [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)) ) ) ) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f28,plain,
    ! [X0] :
      ( ~ ilf_type(X0,set_type)
      | ~ member(X0,empty_set) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f30,plain,
    ! [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))) ) ) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f35,plain,
    ! [X0] :
      ( ~ ilf_type(X0,set_type)
      | ( empty(X0)
      <=> ! [X1] :
            ( ~ ilf_type(X1,set_type)
            | ~ member(X1,X0) ) ) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f36,plain,
    ! [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) ) ) ) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f37,plain,
    ! [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) ) ) ) ),
    inference(flattening,[],[f36]) ).

fof(f39,plain,
    ! [X0] :
      ( ~ ilf_type(X0,set_type)
      | ! [X1] :
          ( ~ ilf_type(X1,set_type)
          | empty(X1)
          | ( ilf_type(X0,member_type(X1))
          <=> member(X0,X1) ) ) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f40,plain,
    ! [X0] :
      ( ~ ilf_type(X0,set_type)
      | ! [X1] :
          ( ~ ilf_type(X1,set_type)
          | empty(X1)
          | ( ilf_type(X0,member_type(X1))
          <=> member(X0,X1) ) ) ),
    inference(flattening,[],[f39]) ).

fof(f49,plain,
    ? [X0] :
      ( ilf_type(X0,set_type)
      & ? [X1] :
          ( ilf_type(X1,set_type)
          & ~ ilf_type(empty_set,relation_type(X0,X1)) ) ),
    inference(ennf_transformation,[],[f23]) ).

fof(f51,plain,
    ! [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))) )
            & ( ~ ilf_type(X1,member_type(power_set(X0)))
              | ilf_type(X1,subset_type(X0)) ) ) ) ),
    inference(nnf_transformation,[],[f30]) ).

fof(f56,plain,
    ! [X0] :
      ( ~ ilf_type(X0,set_type)
      | ( ( ~ empty(X0)
          | ! [X1] :
              ( ~ ilf_type(X1,set_type)
              | ~ member(X1,X0) ) )
        & ( ? [X1] :
              ( ilf_type(X1,set_type)
              & member(X1,X0) )
          | empty(X0) ) ) ),
    inference(nnf_transformation,[],[f35]) ).

fof(f57,plain,
    ! [X0] :
      ( ~ ilf_type(X0,set_type)
      | ( ( ~ empty(X0)
          | ! [X2] :
              ( ~ ilf_type(X2,set_type)
              | ~ member(X2,X0) ) )
        & ( ? [X1] :
              ( ilf_type(X1,set_type)
              & member(X1,X0) )
          | empty(X0) ) ) ),
    inference(rectify,[],[f56]) ).

fof(f58,plain,
    ! [X0] :
      ( ~ ilf_type(X0,set_type)
      | ( ( ~ empty(X0)
          | ! [X2] :
              ( ~ ilf_type(X2,set_type)
              | ~ member(X2,X0) ) )
        & ( ( ilf_type(sK3(X0),set_type)
            & member(sK3(X0),X0) )
          | empty(X0) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X1,sK3(X0))],[f57]) ).

fof(f59,plain,
    ! [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) ) )
            & ( ? [X2] :
                  ( ilf_type(X2,set_type)
                  & member(X2,X0)
                  & ~ member(X2,X1) )
              | member(X0,power_set(X1)) ) ) ) ),
    inference(nnf_transformation,[],[f37]) ).

fof(f60,plain,
    ! [X0] :
      ( ~ ilf_type(X0,set_type)
      | ! [X1] :
          ( ~ ilf_type(X1,set_type)
          | ( ( ~ member(X0,power_set(X1))
              | ! [X3] :
                  ( ~ ilf_type(X3,set_type)
                  | ~ member(X3,X0)
                  | member(X3,X1) ) )
            & ( ? [X2] :
                  ( ilf_type(X2,set_type)
                  & member(X2,X0)
                  & ~ member(X2,X1) )
              | member(X0,power_set(X1)) ) ) ) ),
    inference(rectify,[],[f59]) ).

fof(f61,plain,
    ! [X0] :
      ( ~ ilf_type(X0,set_type)
      | ! [X1] :
          ( ~ ilf_type(X1,set_type)
          | ( ( ~ member(X0,power_set(X1))
              | ! [X3] :
                  ( ~ ilf_type(X3,set_type)
                  | ~ member(X3,X0)
                  | member(X3,X1) ) )
            & ( ( ilf_type(sK4(X0,X1),set_type)
                & member(sK4(X0,X1),X0)
                & ~ member(sK4(X0,X1),X1) )
              | member(X0,power_set(X1)) ) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X2,sK4(X0,X1))],[f60]) ).

fof(f62,plain,
    ! [X0] :
      ( ~ ilf_type(X0,set_type)
      | ! [X1] :
          ( ~ ilf_type(X1,set_type)
          | empty(X1)
          | ( ( ~ ilf_type(X0,member_type(X1))
              | member(X0,X1) )
            & ( ~ member(X0,X1)
              | ilf_type(X0,member_type(X1)) ) ) ) ),
    inference(nnf_transformation,[],[f40]) ).

fof(f67,plain,
    ( ilf_type(sK9,set_type)
    & ilf_type(sK10,set_type)
    & ~ ilf_type(empty_set,relation_type(sK9,sK10)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK9,sK10]),skolemize(X0,sK9),skolemize(X1,sK10)],[f49]) ).

fof(f70,plain,
    ! [X2,X0,X1] :
      ( ~ ilf_type(X0,set_type)
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
      | ilf_type(X2,relation_type(X0,X1)) ),
    inference(cnf_transformation,[],[f26]) ).

fof(f72,plain,
    ! [X0] :
      ( ~ ilf_type(X0,set_type)
      | ~ member(X0,empty_set) ),
    inference(cnf_transformation,[],[f28]) ).

fof(f76,plain,
    ! [X0,X1] :
      ( ~ ilf_type(X0,set_type)
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X1,member_type(power_set(X0)))
      | ilf_type(X1,subset_type(X0)) ),
    inference(cnf_transformation,[],[f51]) ).

fof(f83,plain,
    ! [X2,X0] :
      ( ~ ilf_type(X0,set_type)
      | ~ empty(X0)
      | ~ ilf_type(X2,set_type)
      | ~ member(X2,X0) ),
    inference(cnf_transformation,[],[f58]) ).

fof(f88,plain,
    ! [X0,X1] :
      ( ~ ilf_type(X0,set_type)
      | ~ ilf_type(X1,set_type)
      | member(sK4(X0,X1),X0)
      | member(X0,power_set(X1)) ),
    inference(cnf_transformation,[],[f61]) ).

fof(f93,plain,
    ! [X0,X1] :
      ( ~ ilf_type(X0,set_type)
      | ~ ilf_type(X1,set_type)
      | empty(X1)
      | ~ member(X0,X1)
      | ilf_type(X0,member_type(X1)) ),
    inference(cnf_transformation,[],[f62]) ).

fof(f104,plain,
    ! [X0] : ilf_type(X0,set_type),
    inference(cnf_transformation,[],[f21]) ).

fof(f107,plain,
    ~ ilf_type(empty_set,relation_type(sK9,sK10)),
    inference(cnf_transformation,[],[f67]) ).

tcf(c_50,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ilf_type(X0,relation_type(X1,X2))
      | ~ ilf_type(X2,set_type)
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X0,subset_type(cross_product(X1,X2))) ),
    inference(cnf_transformation,[],[f70]) ).

tcf(c_53,plain,
    ! [X0: $i] :
      ( ~ member(X0,empty_set)
      | ~ ilf_type(X0,set_type) ),
    inference(cnf_transformation,[],[f72]) ).

tcf(c_56,plain,
    ! [X0: $i,X1: $i] :
      ( ilf_type(X0,subset_type(X1))
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X0,set_type)
      | ~ ilf_type(X0,member_type(power_set(X1))) ),
    inference(cnf_transformation,[],[f76]) ).

tcf(c_66,plain,
    ! [X0: $i,X1: $i] :
      ( ~ empty(X1)
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X0,set_type)
      | ~ member(X0,X1) ),
    inference(cnf_transformation,[],[f83]) ).

tcf(c_68,plain,
    ! [X0: $i,X1: $i] :
      ( member(X0,power_set(X1))
      | member(sK4(X0,X1),X0)
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X0,set_type) ),
    inference(cnf_transformation,[],[f88]) ).

tcf(c_73,plain,
    ! [X0: $i,X1: $i] :
      ( empty(X1)
      | ilf_type(X0,member_type(X1))
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X0,set_type)
      | ~ member(X0,X1) ),
    inference(cnf_transformation,[],[f93]) ).

tcf(c_85,plain,
    ! [X0: $i] : ilf_type(X0,set_type),
    inference(cnf_transformation,[],[f104]) ).

tcf(c_86,negated_conjecture,
    ~ ilf_type(empty_set,relation_type(sK9,sK10)),
    inference(cnf_transformation,[],[f107]) ).

tcf(c_129,plain,
    ! [X0: $i] : ~ member(X0,empty_set),
    inference(global_subsumption_just,[status(thm)],[c_53,c_85,c_53]) ).

tcf(c_188,plain,
    ! [X0: $i,X1: $i] :
      ( member(X0,power_set(X1))
      | member(sK4(X0,X1),X0)
      | ~ ilf_type(X1,set_type) ),
    inference(global_subsumption_just,[status(thm)],[c_68,c_85,c_68]) ).

tcf(c_189,plain,
    ! [X0: $i,X1: $i] :
      ( member(X1,power_set(X0))
      | member(sK4(X1,X0),X1)
      | ~ ilf_type(X0,set_type) ),
    inference(renaming,[status(thm)],[c_188]) ).

tcf(c_190,plain,
    ! [X0: $i,X1: $i] :
      ( member(X1,power_set(X0))
      | member(sK4(X1,X0),X1) ),
    inference(global_subsumption_just,[status(thm)],[c_189,c_85,c_189]) ).

tcf(c_191,plain,
    ! [X0: $i,X1: $i] :
      ( member(X0,power_set(X1))
      | member(sK4(X0,X1),X0) ),
    inference(renaming,[status(thm)],[c_190]) ).

tcf(c_197,plain,
    ! [X0: $i,X1: $i] :
      ( ~ member(X0,X1)
      | ~ ilf_type(X1,set_type)
      | ilf_type(X0,member_type(X1)) ),
    inference(global_subsumption_just,[status(thm)],[c_73,c_85,c_66,c_73]) ).

tcf(c_198,plain,
    ! [X0: $i,X1: $i] :
      ( ilf_type(X0,member_type(X1))
      | ~ ilf_type(X1,set_type)
      | ~ member(X0,X1) ),
    inference(renaming,[status(thm)],[c_197]) ).

tcf(c_204,plain,
    ! [X0: $i,X1: $i] :
      ( ilf_type(X0,subset_type(X1))
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X0,member_type(power_set(X1))) ),
    inference(global_subsumption_just,[status(thm)],[c_56,c_85,c_56]) ).

tcf(c_226,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( 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_50,c_85]) ).

tcf(c_230,plain,
    ! [X0: $i,X1: $i] :
      ( ilf_type(X0,member_type(X1))
      | ~ member(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_198,c_85]) ).

tcf(c_232,plain,
    ! [X0: $i,X1: $i] :
      ( ilf_type(X0,subset_type(X1))
      | ~ ilf_type(X0,member_type(power_set(X1))) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_204,c_85]) ).

tcf(c_342,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ilf_type(X0,relation_type(X1,X2))
      | ~ ilf_type(X0,subset_type(cross_product(X1,X2))) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_226,c_85]) ).

tcf(c_677,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ilf_type(X0,subset_type(cross_product(X1,X2)))
      | ilf_type(X0,relation_type(X1,X2)) ),
    inference(prop_impl_just,[status(thm)],[c_342]) ).

tcf(c_678,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ilf_type(X0,relation_type(X1,X2))
      | ~ ilf_type(X0,subset_type(cross_product(X1,X2))) ),
    inference(renaming,[status(thm)],[c_677]) ).

tcf(c_681,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ilf_type(X0,member_type(power_set(X1)))
      | ilf_type(X0,subset_type(X1)) ),
    inference(prop_impl_just,[status(thm)],[c_232]) ).

tcf(c_682,plain,
    ! [X0: $i,X1: $i] :
      ( ilf_type(X0,subset_type(X1))
      | ~ ilf_type(X0,member_type(power_set(X1))) ),
    inference(renaming,[status(thm)],[c_681]) ).

tcf(c_701,plain,
    ! [X0: $i,X1: $i] :
      ( ilf_type(X0,member_type(X1))
      | ~ member(X0,X1) ),
    inference(prop_impl_just,[status(thm)],[c_230]) ).

tcf(c_709,plain,
    ! [X0: $i,X1: $i] :
      ( member(sK4(X0,X1),X0)
      | member(X0,power_set(X1)) ),
    inference(prop_impl_just,[status(thm)],[c_191]) ).

tcf(c_710,plain,
    ! [X0: $i,X1: $i] :
      ( member(X0,power_set(X1))
      | member(sK4(X0,X1),X0) ),
    inference(renaming,[status(thm)],[c_709]) ).

tcf(c_1164,definition,
    iPr_def_10 = relation_type(sK9,sK10),
    introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).

tcf(c_1165,negated_conjecture,
    ~ ilf_type(empty_set,iPr_def_10),
    inference(demodulation,[status(thm)],[c_86,c_1164]) ).

tcf(c_1881,plain,
    ! [X0: $i] : member(empty_set,power_set(X0)),
    inference(superposition,[status(thm)],[c_710,c_129]) ).

tcf(c_1915,plain,
    ! [X0: $i,X1: $i] :
      ( ilf_type(X0,subset_type(X1))
      | ~ member(X0,power_set(X1)) ),
    inference(superposition,[status(thm)],[c_701,c_682]) ).

tcf(c_1986,plain,
    ! [X0: $i] : ilf_type(empty_set,subset_type(X0)),
    inference(superposition,[status(thm)],[c_1881,c_1915]) ).

tcf(c_2017,plain,
    ! [X0: $i,X1: $i] : ilf_type(empty_set,relation_type(X0,X1)),
    inference(superposition,[status(thm)],[c_1986,c_678]) ).

tcf(c_2028,plain,
    ilf_type(empty_set,iPr_def_10),
    inference(superposition,[status(thm)],[c_1164,c_2017]) ).

tcf(c_2030,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_2028,c_1165]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SET662+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.38  % Computer : n010.cluster.edu
% 0.12/0.38  % Model    : x86_64 x86_64
% 0.12/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38  % Memory   : 8046.5625MB
% 0.12/0.38  % OS       : Linux 6.8.0-71-generic
% 0.12/0.38  % CPULimit : 300
% 0.12/0.38  % WCLimit  : 300
% 0.12/0.38  % DateTime : Thu Sep 24 11:36:16 UTC 2026
% 0.12/0.38  % CPUTime  : 
% 0.12/0.38  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.41  Running first-order theorem proving
% 0.12/0.41  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
% 0.12/0.42  
% 0.12/0.42  % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.42  
% 0.12/0.42  % Detected problem language: tptp
% 0.12/0.43  % Proving...
% 1.34/1.19  % SZS status Started for theBenchmark.p
% 1.34/1.19  % SZS status Theorem for theBenchmark.p
% 1.34/1.19  
% 1.34/1.19  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.34/1.19  
% 1.34/1.19  % ------  iProver source info
% 1.34/1.19  
% 1.34/1.19  % git: date: 2026-07-19 20:42:38 +0200
% 1.34/1.19  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.34/1.19  % git: non_committed_changes: false
% 1.34/1.19  
% 1.34/1.19  % ------ Parsing...
% 1.34/1.19  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 1.34/1.19  
% 1.34/1.19  % ------ 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 % 
% 1.34/1.19  
% 1.34/1.19  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 1.34/1.19  
% 1.34/1.19  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 1.34/1.19  % ------ Proving...
% 1.34/1.19  % ------ Problem Properties 
% 1.34/1.19  
% 1.34/1.19  % 
% 1.34/1.19  % clauses                               30
% 1.34/1.19  % conjectures                           1
% 1.34/1.19  % EPR                                   8
% 1.34/1.19  % Horn                                  24
% 1.34/1.19  % unary                                 10
% 1.34/1.19  % binary                                16
% 1.34/1.19  % lits                                  54
% 1.34/1.19  % lits eq                               3
% 1.34/1.19  % fd_pure                               0
% 1.34/1.19  % fd_pseudo                             0
% 1.34/1.19  % fd_cond                               0
% 1.34/1.19  % fd_pseudo_cond                        0
% 1.34/1.19  % AC symbols                            0
% 1.34/1.19  
% 1.34/1.19  % ------ Schedule dynamic 5 is on 
% 1.34/1.19  
% 1.34/1.19  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.34/1.19  
% 1.34/1.19  
% 1.34/1.19  % ------ 
% 1.34/1.19  % Current options:
% 1.34/1.19  % ------ 
% 1.34/1.19  
% 1.34/1.19  
% 1.34/1.19  % 
% 1.34/1.19  
% 1.34/1.19  % ------ Proving...
% 1.34/1.19  % 
% 1.34/1.19  
% 1.34/1.19  % SZS status Theorem for theBenchmark.p
% 1.34/1.19  
% 1.34/1.19  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.34/1.19  
% 1.34/1.19  
%------------------------------------------------------------------------------