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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SEU362+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM

% Computer : n004.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 02:57:13 PM UTC 2026

% Result   : Theorem 3.31s 1.31s
% Output   : CNFRefutation 3.31s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   91 (  35 unt;   3 def)
%            Number of atoms       :  292 (  25 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  306 ( 124   ~; 112   |;  42   &)
%                                         (   5 <=>;  23  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   12 (  10 usr;   4 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   6 con; 0-2 aty)
%            Number of variables   :  132 (   0 sgn 120   !;  12   ?;  42   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f5,axiom,
    ! [X0] :
      ( rel_str(X0)
     => ! [X1] :
          ( rel_str(X1)
         => ( subrelstr(X1,X0)
          <=> ( subset(the_InternalRel(X1),the_InternalRel(X0))
              & subset(the_carrier(X1),the_carrier(X0)) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d13_yellow_0) ).

fof(f6,axiom,
    ! [X0] :
      ( rel_str(X0)
     => ! [X1] :
          ( element(X1,the_carrier(X0))
         => ! [X2] :
              ( element(X2,the_carrier(X0))
             => ( related(X0,X1,X2)
              <=> in(ordered_pair(X1,X2),the_InternalRel(X0)) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d9_orders_2) ).

fof(f15,axiom,
    ! [X0] :
      ( rel_str(X0)
     => ! [X1] :
          ( subrelstr(X1,X0)
         => rel_str(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_yellow_0) ).

fof(f35,axiom,
    ! [X0,X1] :
      ( element(X0,X1)
     => ( in(X0,X1)
        | empty(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).

fof(f36,axiom,
    ! [X0,X1] :
      ( element(X0,powerset(X1))
    <=> subset(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_subset) ).

fof(f37,axiom,
    ! [X0,X1,X2] :
      ( ( element(X1,powerset(X2))
        & in(X0,X1) )
     => element(X0,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_subset) ).

fof(f38,axiom,
    ! [X0,X1,X2] :
      ~ ( empty(X2)
        & element(X1,powerset(X2))
        & in(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_subset) ).

fof(f39,conjecture,
    ! [X0] :
      ( rel_str(X0)
     => ! [X1] :
          ( subrelstr(X1,X0)
         => ! [X2] :
              ( element(X2,the_carrier(X0))
             => ! [X3] :
                  ( element(X3,the_carrier(X0))
                 => ! [X4] :
                      ( element(X4,the_carrier(X1))
                     => ! [X5] :
                          ( element(X5,the_carrier(X1))
                         => ( ( related(X1,X4,X5)
                              & X5 = X3
                              & X4 = X2 )
                           => related(X0,X2,X3) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t60_yellow_0) ).

fof(f40,negated_conjecture,
    ~ ! [X0] :
        ( rel_str(X0)
       => ! [X1] :
            ( subrelstr(X1,X0)
           => ! [X2] :
                ( element(X2,the_carrier(X0))
               => ! [X3] :
                    ( element(X3,the_carrier(X0))
                   => ! [X4] :
                        ( element(X4,the_carrier(X1))
                       => ! [X5] :
                            ( element(X5,the_carrier(X1))
                           => ( ( related(X1,X4,X5)
                                & X5 = X3
                                & X4 = X2 )
                             => related(X0,X2,X3) ) ) ) ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f39]) ).

fof(f51,plain,
    ! [X0] :
      ( ~ rel_str(X0)
      | ! [X1] :
          ( ~ rel_str(X1)
          | ( subrelstr(X1,X0)
          <=> ( subset(the_InternalRel(X1),the_InternalRel(X0))
              & subset(the_carrier(X1),the_carrier(X0)) ) ) ) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f52,plain,
    ! [X0] :
      ( ~ rel_str(X0)
      | ! [X1] :
          ( ~ element(X1,the_carrier(X0))
          | ! [X2] :
              ( ~ element(X2,the_carrier(X0))
              | ( related(X0,X1,X2)
              <=> in(ordered_pair(X1,X2),the_InternalRel(X0)) ) ) ) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f53,plain,
    ! [X0] :
      ( ~ rel_str(X0)
      | ! [X1] :
          ( ~ subrelstr(X1,X0)
          | rel_str(X1) ) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f62,plain,
    ! [X0,X1] :
      ( ~ element(X0,X1)
      | in(X0,X1)
      | empty(X1) ),
    inference(ennf_transformation,[],[f35]) ).

fof(f63,plain,
    ! [X0,X1] :
      ( ~ element(X0,X1)
      | in(X0,X1)
      | empty(X1) ),
    inference(flattening,[],[f62]) ).

fof(f64,plain,
    ! [X0,X1,X2] :
      ( ~ element(X1,powerset(X2))
      | ~ in(X0,X1)
      | element(X0,X2) ),
    inference(ennf_transformation,[],[f37]) ).

fof(f65,plain,
    ! [X0,X1,X2] :
      ( ~ element(X1,powerset(X2))
      | ~ in(X0,X1)
      | element(X0,X2) ),
    inference(flattening,[],[f64]) ).

fof(f66,plain,
    ! [X0,X1,X2] :
      ( ~ empty(X2)
      | ~ element(X1,powerset(X2))
      | ~ in(X0,X1) ),
    inference(ennf_transformation,[],[f38]) ).

fof(f67,plain,
    ? [X0] :
      ( rel_str(X0)
      & ? [X1] :
          ( subrelstr(X1,X0)
          & ? [X2] :
              ( element(X2,the_carrier(X0))
              & ? [X3] :
                  ( element(X3,the_carrier(X0))
                  & ? [X4] :
                      ( element(X4,the_carrier(X1))
                      & ? [X5] :
                          ( element(X5,the_carrier(X1))
                          & related(X1,X4,X5)
                          & X5 = X3
                          & X4 = X2
                          & ~ related(X0,X2,X3) ) ) ) ) ) ),
    inference(ennf_transformation,[],[f40]) ).

fof(f68,plain,
    ? [X0] :
      ( rel_str(X0)
      & ? [X1] :
          ( subrelstr(X1,X0)
          & ? [X2] :
              ( element(X2,the_carrier(X0))
              & ? [X3] :
                  ( element(X3,the_carrier(X0))
                  & ? [X4] :
                      ( element(X4,the_carrier(X1))
                      & ? [X5] :
                          ( element(X5,the_carrier(X1))
                          & related(X1,X4,X5)
                          & X5 = X3
                          & X4 = X2
                          & ~ related(X0,X2,X3) ) ) ) ) ) ),
    inference(flattening,[],[f67]) ).

fof(f72,plain,
    ! [X0] :
      ( ~ rel_str(X0)
      | ! [X1] :
          ( ~ rel_str(X1)
          | ( ( ~ subrelstr(X1,X0)
              | ( subset(the_InternalRel(X1),the_InternalRel(X0))
                & subset(the_carrier(X1),the_carrier(X0)) ) )
            & ( ~ subset(the_InternalRel(X1),the_InternalRel(X0))
              | ~ subset(the_carrier(X1),the_carrier(X0))
              | subrelstr(X1,X0) ) ) ) ),
    inference(nnf_transformation,[],[f51]) ).

fof(f73,plain,
    ! [X0] :
      ( ~ rel_str(X0)
      | ! [X1] :
          ( ~ rel_str(X1)
          | ( ( ~ subrelstr(X1,X0)
              | ( subset(the_InternalRel(X1),the_InternalRel(X0))
                & subset(the_carrier(X1),the_carrier(X0)) ) )
            & ( ~ subset(the_InternalRel(X1),the_InternalRel(X0))
              | ~ subset(the_carrier(X1),the_carrier(X0))
              | subrelstr(X1,X0) ) ) ) ),
    inference(flattening,[],[f72]) ).

fof(f74,plain,
    ! [X0] :
      ( ~ rel_str(X0)
      | ! [X1] :
          ( ~ element(X1,the_carrier(X0))
          | ! [X2] :
              ( ~ element(X2,the_carrier(X0))
              | ( ( ~ related(X0,X1,X2)
                  | in(ordered_pair(X1,X2),the_InternalRel(X0)) )
                & ( ~ in(ordered_pair(X1,X2),the_InternalRel(X0))
                  | related(X0,X1,X2) ) ) ) ) ),
    inference(nnf_transformation,[],[f52]) ).

fof(f86,plain,
    ! [X0,X1] :
      ( ( ~ element(X0,powerset(X1))
        | subset(X0,X1) )
      & ( ~ subset(X0,X1)
        | element(X0,powerset(X1)) ) ),
    inference(nnf_transformation,[],[f36]) ).

fof(f87,plain,
    ( rel_str(sK10)
    & subrelstr(sK11,sK10)
    & element(sK12,the_carrier(sK10))
    & element(sK13,the_carrier(sK10))
    & element(sK14,the_carrier(sK11))
    & element(sK15,the_carrier(sK11))
    & related(sK11,sK14,sK15)
    & sK13 = sK15
    & sK12 = sK14
    & ~ related(sK10,sK12,sK13) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK10,sK11,sK12,sK13,sK14,sK15]),skolemize(X0,sK10),skolemize(X1,sK11),skolemize(X2,sK12),skolemize(X3,sK13),skolemize(X4,sK14),skolemize(X5,sK15)],[f68]) ).

fof(f91,plain,
    ! [X0,X1] :
      ( ~ rel_str(X0)
      | ~ rel_str(X1)
      | ~ subrelstr(X1,X0)
      | subset(the_InternalRel(X1),the_InternalRel(X0)) ),
    inference(cnf_transformation,[],[f73]) ).

fof(f94,plain,
    ! [X2,X0,X1] :
      ( ~ rel_str(X0)
      | ~ element(X1,the_carrier(X0))
      | ~ element(X2,the_carrier(X0))
      | ~ related(X0,X1,X2)
      | in(ordered_pair(X1,X2),the_InternalRel(X0)) ),
    inference(cnf_transformation,[],[f74]) ).

fof(f95,plain,
    ! [X2,X0,X1] :
      ( ~ rel_str(X0)
      | ~ element(X1,the_carrier(X0))
      | ~ element(X2,the_carrier(X0))
      | ~ in(ordered_pair(X1,X2),the_InternalRel(X0))
      | related(X0,X1,X2) ),
    inference(cnf_transformation,[],[f74]) ).

fof(f96,plain,
    ! [X0,X1] :
      ( ~ rel_str(X0)
      | ~ subrelstr(X1,X0)
      | rel_str(X1) ),
    inference(cnf_transformation,[],[f53]) ).

fof(f120,plain,
    ! [X0,X1] :
      ( ~ element(X0,X1)
      | in(X0,X1)
      | empty(X1) ),
    inference(cnf_transformation,[],[f63]) ).

fof(f122,plain,
    ! [X0,X1] :
      ( ~ subset(X0,X1)
      | element(X0,powerset(X1)) ),
    inference(cnf_transformation,[],[f86]) ).

fof(f123,plain,
    ! [X2,X0,X1] :
      ( ~ element(X1,powerset(X2))
      | ~ in(X0,X1)
      | element(X0,X2) ),
    inference(cnf_transformation,[],[f65]) ).

fof(f124,plain,
    ! [X2,X0,X1] :
      ( ~ empty(X2)
      | ~ element(X1,powerset(X2))
      | ~ in(X0,X1) ),
    inference(cnf_transformation,[],[f66]) ).

fof(f125,plain,
    rel_str(sK10),
    inference(cnf_transformation,[],[f87]) ).

fof(f126,plain,
    subrelstr(sK11,sK10),
    inference(cnf_transformation,[],[f87]) ).

fof(f127,plain,
    element(sK12,the_carrier(sK10)),
    inference(cnf_transformation,[],[f87]) ).

fof(f128,plain,
    element(sK13,the_carrier(sK10)),
    inference(cnf_transformation,[],[f87]) ).

fof(f129,plain,
    element(sK14,the_carrier(sK11)),
    inference(cnf_transformation,[],[f87]) ).

fof(f130,plain,
    element(sK15,the_carrier(sK11)),
    inference(cnf_transformation,[],[f87]) ).

fof(f131,plain,
    related(sK11,sK14,sK15),
    inference(cnf_transformation,[],[f87]) ).

fof(f132,plain,
    sK13 = sK15,
    inference(cnf_transformation,[],[f87]) ).

fof(f133,plain,
    sK12 = sK14,
    inference(cnf_transformation,[],[f87]) ).

fof(f134,plain,
    ~ related(sK10,sK12,sK13),
    inference(cnf_transformation,[],[f87]) ).

fof(f138,plain,
    ~ related(sK10,sK14,sK15),
    inference(definition_unfolding,[],[f134,f133,f132]) ).

fof(f139,plain,
    element(sK15,the_carrier(sK10)),
    inference(definition_unfolding,[],[f128,f132]) ).

fof(f140,plain,
    element(sK14,the_carrier(sK10)),
    inference(definition_unfolding,[],[f127,f133]) ).

tcf(c_54,plain,
    ! [X0: $i,X1: $i] :
      ( subset(the_InternalRel(X0),the_InternalRel(X1))
      | ~ rel_str(X1)
      | ~ rel_str(X0)
      | ~ subrelstr(X0,X1) ),
    inference(cnf_transformation,[],[f91]) ).

tcf(c_55,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( related(X2,X0,X1)
      | ~ rel_str(X2)
      | ~ element(X1,the_carrier(X2))
      | ~ element(X0,the_carrier(X2))
      | ~ in(ordered_pair(X0,X1),the_InternalRel(X2)) ),
    inference(cnf_transformation,[],[f95]) ).

tcf(c_56,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( in(ordered_pair(X1,X2),the_InternalRel(X0))
      | ~ rel_str(X0)
      | ~ element(X2,the_carrier(X0))
      | ~ element(X1,the_carrier(X0))
      | ~ related(X0,X1,X2) ),
    inference(cnf_transformation,[],[f94]) ).

tcf(c_57,plain,
    ! [X0: $i,X1: $i] :
      ( rel_str(X0)
      | ~ rel_str(X1)
      | ~ subrelstr(X0,X1) ),
    inference(cnf_transformation,[],[f96]) ).

tcf(c_81,plain,
    ! [X0: $i,X1: $i] :
      ( empty(X1)
      | in(X0,X1)
      | ~ element(X0,X1) ),
    inference(cnf_transformation,[],[f120]) ).

tcf(c_82,plain,
    ! [X0: $i,X1: $i] :
      ( element(X0,powerset(X1))
      | ~ subset(X0,X1) ),
    inference(cnf_transformation,[],[f122]) ).

tcf(c_84,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( element(X2,X1)
      | ~ in(X2,X0)
      | ~ element(X0,powerset(X1)) ),
    inference(cnf_transformation,[],[f123]) ).

tcf(c_85,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ empty(X1)
      | ~ in(X2,X0)
      | ~ element(X0,powerset(X1)) ),
    inference(cnf_transformation,[],[f124]) ).

tcf(c_86,negated_conjecture,
    ~ related(sK10,sK14,sK15),
    inference(cnf_transformation,[],[f138]) ).

tcf(c_87,negated_conjecture,
    related(sK11,sK14,sK15),
    inference(cnf_transformation,[],[f131]) ).

tcf(c_88,negated_conjecture,
    element(sK15,the_carrier(sK11)),
    inference(cnf_transformation,[],[f130]) ).

tcf(c_89,negated_conjecture,
    element(sK14,the_carrier(sK11)),
    inference(cnf_transformation,[],[f129]) ).

tcf(c_90,negated_conjecture,
    element(sK15,the_carrier(sK10)),
    inference(cnf_transformation,[],[f139]) ).

tcf(c_91,negated_conjecture,
    element(sK14,the_carrier(sK10)),
    inference(cnf_transformation,[],[f140]) ).

tcf(c_92,negated_conjecture,
    subrelstr(sK11,sK10),
    inference(cnf_transformation,[],[f126]) ).

tcf(c_93,negated_conjecture,
    rel_str(sK10),
    inference(cnf_transformation,[],[f125]) ).

tcf(c_126,plain,
    ! [X0: $i,X1: $i] :
      ( subset(the_InternalRel(X0),the_InternalRel(X1))
      | ~ rel_str(X1)
      | ~ subrelstr(X0,X1) ),
    inference(global_subsumption_just,[status(thm)],[c_54,c_57,c_54]) ).

tcf(c_132,plain,
    ! [X0: $i,X1: $i] :
      ( element(X0,powerset(X1))
      | ~ subset(X0,X1) ),
    inference(prop_impl_just,[status(thm)],[c_82]) ).

tcf(c_269,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( element(X0,X2)
      | ~ subset(X1,X2)
      | ~ in(X0,X1) ),
    inference(bin_hyper_res,[status(thm)],[c_84,c_132]) ).

tcf(c_270,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ empty(X2)
      | ~ subset(X1,X2)
      | ~ in(X0,X1) ),
    inference(bin_hyper_res,[status(thm)],[c_85,c_132]) ).

tcf(c_680,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ rel_str(X2)
      | ~ element(X1,the_carrier(X2))
      | ~ element(X0,the_carrier(X2))
      | ~ in(ordered_pair(X0,X1),the_InternalRel(X2))
      | ( X2 != sK10 )
      | ( X1 != sK15 )
      | ( X0 != sK14 ) ),
    inference(resolution_lifted,[status(thm)],[c_55,c_86]) ).

tcf(c_681,plain,
    ( ~ rel_str(sK10)
    | ~ element(sK15,the_carrier(sK10))
    | ~ element(sK14,the_carrier(sK10))
    | ~ in(ordered_pair(sK14,sK15),the_InternalRel(sK10)) ),
    inference(unflattening,[status(thm)],[c_680]) ).

tcf(c_682,plain,
    ~ in(ordered_pair(sK14,sK15),the_InternalRel(sK10)),
    inference(global_subsumption_just,[status(thm)],[c_681,c_93,c_91,c_90,c_681]) ).

tcf(c_687,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( in(ordered_pair(X1,X2),the_InternalRel(X0))
      | ~ rel_str(X0)
      | ~ element(X2,the_carrier(X0))
      | ~ element(X1,the_carrier(X0))
      | ( X2 != sK15 )
      | ( X1 != sK14 )
      | ( X0 != sK11 ) ),
    inference(resolution_lifted,[status(thm)],[c_56,c_87]) ).

tcf(c_688,plain,
    ( in(ordered_pair(sK14,sK15),the_InternalRel(sK11))
    | ~ rel_str(sK11)
    | ~ element(sK15,the_carrier(sK11))
    | ~ element(sK14,the_carrier(sK11)) ),
    inference(unflattening,[status(thm)],[c_687]) ).

tcf(c_689,plain,
    ( in(ordered_pair(sK14,sK15),the_InternalRel(sK11))
    | ~ rel_str(sK11) ),
    inference(global_subsumption_just,[status(thm)],[c_688,c_89,c_88,c_688]) ).

tcf(c_753,plain,
    ! [X0: $i,X1: $i] :
      ( subset(the_InternalRel(X0),the_InternalRel(X1))
      | ~ rel_str(X1)
      | ( X1 != sK10 )
      | ( X0 != sK11 ) ),
    inference(resolution_lifted,[status(thm)],[c_126,c_92]) ).

tcf(c_754,plain,
    ( subset(the_InternalRel(sK11),the_InternalRel(sK10))
    | ~ rel_str(sK10) ),
    inference(unflattening,[status(thm)],[c_753]) ).

tcf(c_755,plain,
    subset(the_InternalRel(sK11),the_InternalRel(sK10)),
    inference(global_subsumption_just,[status(thm)],[c_754,c_93,c_754]) ).

tcf(c_760,plain,
    ! [X0: $i,X1: $i] :
      ( rel_str(X0)
      | ~ rel_str(X1)
      | ( X1 != sK10 )
      | ( X0 != sK11 ) ),
    inference(resolution_lifted,[status(thm)],[c_57,c_92]) ).

tcf(c_761,plain,
    ( rel_str(sK11)
    | ~ rel_str(sK10) ),
    inference(unflattening,[status(thm)],[c_760]) ).

tcf(c_762,plain,
    rel_str(sK11),
    inference(global_subsumption_just,[status(thm)],[c_761,c_93,c_761]) ).

tcf(c_776,plain,
    in(ordered_pair(sK14,sK15),the_InternalRel(sK11)),
    inference(backward_subsumption_resolution,[status(thm)],[c_689,c_762]) ).

tcf(c_2034,definition,
    iPr_def_10 = ordered_pair(sK14,sK15),
    introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).

tcf(c_2035,definition,
    iPr_def_11 = the_InternalRel(sK11),
    introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).

tcf(c_2036,definition,
    iPr_def_12 = the_InternalRel(sK10),
    introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).

tcf(c_2040,plain,
    in(iPr_def_10,iPr_def_11),
    inference(demodulation,[status(thm)],[c_776,c_2035,c_2034]) ).

tcf(c_2042,plain,
    subset(iPr_def_11,iPr_def_12),
    inference(demodulation,[status(thm)],[c_755,c_2036]) ).

tcf(c_2044,plain,
    ~ in(iPr_def_10,iPr_def_12),
    inference(demodulation,[status(thm)],[c_682]) ).

tcf(c_3071,plain,
    ! [X0: $i] :
      ( element(iPr_def_10,X0)
      | ~ subset(iPr_def_11,X0) ),
    inference(superposition,[status(thm)],[c_2040,c_269]) ).

tcf(c_3135,plain,
    ! [X0: $i] :
      ( ~ empty(X0)
      | ~ subset(iPr_def_11,X0) ),
    inference(superposition,[status(thm)],[c_2040,c_270]) ).

tcf(c_3230,plain,
    element(iPr_def_10,iPr_def_12),
    inference(superposition,[status(thm)],[c_2042,c_3071]) ).

tcf(c_3236,plain,
    ( empty(iPr_def_12)
    | in(iPr_def_10,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_3230,c_81]) ).

tcf(c_3237,plain,
    empty(iPr_def_12),
    inference(forward_subsumption_resolution,[status(thm)],[c_3236,c_2044]) ).

tcf(c_3295,plain,
    ~ empty(iPr_def_12),
    inference(superposition,[status(thm)],[c_2042,c_3135]) ).

tcf(c_3297,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_3295,c_3237]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SEU362+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.38  % Computer : n004.cluster.edu
% 0.13/0.38  % Model    : x86_64 x86_64
% 0.13/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38  % Memory   : 8046.5625MB
% 0.13/0.38  % OS       : Linux 6.8.0-71-generic
% 0.13/0.38  % CPULimit : 300
% 0.13/0.38  % WCLimit  : 300
% 0.13/0.38  % DateTime : Thu Sep 24 13:50:20 UTC 2026
% 0.13/0.38  % CPUTime  : 
% 0.13/0.38  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.42  Running first-order theorem proving
% 0.13/0.42  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
% 0.13/0.43  
% 0.13/0.43  % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.43  
% 0.13/0.43  % Detected problem language: tptp
% 0.13/0.45  % Proving...
% 3.31/1.31  % SZS status Started for theBenchmark.p
% 3.31/1.31  % SZS status Theorem for theBenchmark.p
% 3.31/1.31  
% 3.31/1.31  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.31/1.31  
% 3.31/1.31  % ------  iProver source info
% 3.31/1.31  
% 3.31/1.31  % git: date: 2026-07-19 20:42:38 +0200
% 3.31/1.31  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.31/1.31  % git: non_committed_changes: false
% 3.31/1.31  
% 3.31/1.31  % ------ Parsing...
% 3.31/1.31  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 3.31/1.31  
% 3.31/1.31  % ------ Preprocessing... sup_sim: 0  sf_s  rm: 8 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe_e  sup_sim: 0  sf_s  rm: 6 0s  sf_e  pe_s  pe_e % 
% 3.31/1.31  
% 3.31/1.31  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 3.31/1.31  
% 3.31/1.31  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.31/1.31  % ------ Proving...
% 3.31/1.31  % ------ Problem Properties 
% 3.31/1.31  
% 3.31/1.31  % 
% 3.31/1.31  % clauses                               43
% 3.31/1.31  % conjectures                           5
% 3.31/1.31  % EPR                                   25
% 3.31/1.31  % Horn                                  40
% 3.31/1.31  % unary                                 25
% 3.31/1.31  % binary                                14
% 3.31/1.31  % lits                                  65
% 3.31/1.31  % lits eq                               8
% 3.31/1.31  % fd_pure                               0
% 3.31/1.31  % fd_pseudo                             0
% 3.31/1.31  % fd_cond                               1
% 3.31/1.31  % fd_pseudo_cond                        1
% 3.31/1.31  % AC symbols                            0
% 3.31/1.31  
% 3.31/1.31  % ------ Schedule dynamic 5 is on 
% 3.31/1.31  
% 3.31/1.31  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.31/1.31  
% 3.31/1.31  
% 3.31/1.31  % ------ 
% 3.31/1.31  % Current options:
% 3.31/1.31  % ------ 
% 3.31/1.31  
% 3.31/1.31  
% 3.31/1.31  % 
% 3.31/1.31  
% 3.31/1.31  % ------ Proving...
% 3.31/1.31  % 
% 3.31/1.31  
% 3.31/1.31  % SZS status Theorem for theBenchmark.p
% 3.31/1.31  
% 3.31/1.31  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.31/1.31  
% 3.31/1.31  
%------------------------------------------------------------------------------