↑ Up

LisaST---0.9.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : LisaST---0.9
% Problem  : SEU394+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n003.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 : Sun Sep 27 08:41:52 AM UTC 2026

% Result   : Theorem 10.40s 5.96s
% Output   : CNFRefutation 10.40s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   70 (  19 unt;   0 def)
%            Number of atoms       :  215 (  31 equ)
%            Maximal formula atoms :   18 (   3 avg)
%            Number of connectives :  239 (  94   ~;  86   |;  44   &)
%                                         (   1 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   19 (   4 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :   30 (  28 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   3 con; 0-3 aty)
%            Number of variables   :   61 (   7 sgn  26   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(antisymmetry_r2_hidden,axiom,
    ! [X0,X1] :
      ( in(X0,X1)
     => ~ in(X1,X0) ) ).

fof(dt_k3_yellow_1,axiom,
    ! [X0] :
      ( 'rel$ustr'('boole$uPOSet'(X0))
      & 'strict$urel$ustr'('boole$uPOSet'(X0)) ) ).

fof(dt_l1_orders_2,axiom,
    ! [X0] :
      ( 'rel$ustr'(X0)
     => 'one$usorted$ustr'(X0) ) ).

fof(fc12_relat_1,axiom,
    ( 'relation$uempty$uyielding'('empty$uset')
    & relation('empty$uset')
    & empty('empty$uset') ) ).

fof(fc1_struct_0,axiom,
    ! [X0] :
      ( ( 'one$usorted$ustr'(X0)
        & ~ 'empty$ucarrier'(X0) )
     => ~ empty('the$ucarrier'(X0)) ) ).

fof(fc1_waybel_7,axiom,
    ! [X0] :
      ( 'complete$urelstr'('boole$uPOSet'(X0))
      & 'with$uinfima$urelstr'('boole$uPOSet'(X0))
      & 'with$usuprema$urelstr'('boole$uPOSet'(X0))
      & 'boolean$urelstr'('boole$uPOSet'(X0))
      & 'complemented$urelstr'('boole$uPOSet'(X0))
      & 'heyting$urelstr'('boole$uPOSet'(X0))
      & 'distributive$urelstr'('boole$uPOSet'(X0))
      & ~ 'v1$uyellow$u3'('boole$uPOSet'(X0))
      & 'join$ucomplete$urelstr'('boole$uPOSet'(X0))
      & 'up$ucomplete$urelstr'('boole$uPOSet'(X0))
      & 'bounded$urelstr'('boole$uPOSet'(X0))
      & 'upper$ubounded$urelstr'('boole$uPOSet'(X0))
      & 'lower$ubounded$urelstr'('boole$uPOSet'(X0))
      & 'antisymmetric$urelstr'('boole$uPOSet'(X0))
      & 'transitive$urelstr'('boole$uPOSet'(X0))
      & 'reflexive$urelstr'('boole$uPOSet'(X0))
      & 'strict$urel$ustr'('boole$uPOSet'(X0))
      & ~ 'empty$ucarrier'('boole$uPOSet'(X0)) ) ).

fof(fc2_pre_topc,axiom,
    ! [X0] :
      ( ( 'one$usorted$ustr'(X0)
        & ~ 'empty$ucarrier'(X0) )
     => ~ empty('cast$uas$ucarrier$usubset'(X0)) ) ).

fof(t14_yellow19,axiom,
    ! [X0] :
      ( ( 'one$usorted$ustr'(X0)
        & ~ 'empty$ucarrier'(X0) )
     => ! [X1] :
          ( ( element(X1,powerset('the$ucarrier'('boole$uPOSet'('cast$uas$ucarrier$usubset'(X0)))))
            & 'upper$urelstr$usubset'(X1,'boole$uPOSet'('cast$uas$ucarrier$usubset'(X0)))
            & 'filtered$usubset'(X1,'boole$uPOSet'('cast$uas$ucarrier$usubset'(X0)))
            & ~ empty(X1) )
         => 'set$udifference'(X1,singleton('empty$uset')) = 'filter$uof$unet$ustr'(X0,'net$uof$ubool$ufilter'(X0,'cast$uas$ucarrier$usubset'(X0),X1)) ) ) ).

fof(t2_subset,axiom,
    ! [X0,X1] :
      ( element(X0,X1)
     => ( in(X0,X1)
        | empty(X1) ) ) ).

fof(t2_yellow19,axiom,
    ! [X0] :
      ( ~ empty(X0)
     => ! [X1] :
          ( ( element(X1,powerset('the$ucarrier'('boole$uPOSet'(X0))))
            & 'proper$uelement'(X1,powerset('the$ucarrier'('boole$uPOSet'(X0))))
            & 'upper$urelstr$usubset'(X1,'boole$uPOSet'(X0))
            & 'filtered$usubset'(X1,'boole$uPOSet'(X0))
            & ~ empty(X1) )
         => ! [X2] :
              ~ ( empty(X2)
                & in(X2,X1) ) ) ) ).

fof(t4_subset,axiom,
    ! [X0,X1,X2] :
      ( ( element(X1,powerset(X2))
        & in(X0,X1) )
     => element(X0,X2) ) ).

fof(t5_subset,axiom,
    ! [X0,X1,X2] :
      ~ ( empty(X2)
        & element(X1,powerset(X2))
        & in(X0,X1) ) ).

fof(t65_zfmisc_1,axiom,
    ! [X0,X1] :
      ( 'set$udifference'(X0,singleton(X1)) = X0
    <=> ~ in(X1,X0) ) ).

fof(t15_yellow19,conjecture,
    ! [X0] :
      ( ( 'one$usorted$ustr'(X0)
        & ~ 'empty$ucarrier'(X0) )
     => ! [X1] :
          ( ( element(X1,powerset('the$ucarrier'('boole$uPOSet'('cast$uas$ucarrier$usubset'(X0)))))
            & 'proper$uelement'(X1,powerset('the$ucarrier'('boole$uPOSet'('cast$uas$ucarrier$usubset'(X0)))))
            & 'upper$urelstr$usubset'(X1,'boole$uPOSet'('cast$uas$ucarrier$usubset'(X0)))
            & 'filtered$usubset'(X1,'boole$uPOSet'('cast$uas$ucarrier$usubset'(X0)))
            & ~ empty(X1) )
         => X1 = 'filter$uof$unet$ustr'(X0,'net$uof$ubool$ufilter'(X0,'cast$uas$ucarrier$usubset'(X0),X1)) ) ) ).

fof(negated_conjecture,negated_conjecture,
    ~ ! [X0] :
        ( ( 'one$usorted$ustr'(X0)
          & ~ 'empty$ucarrier'(X0) )
       => ! [X1] :
            ( ( element(X1,powerset('the$ucarrier'('boole$uPOSet'('cast$uas$ucarrier$usubset'(X0)))))
              & 'proper$uelement'(X1,powerset('the$ucarrier'('boole$uPOSet'('cast$uas$ucarrier$usubset'(X0)))))
              & 'upper$urelstr$usubset'(X1,'boole$uPOSet'('cast$uas$ucarrier$usubset'(X0)))
              & 'filtered$usubset'(X1,'boole$uPOSet'('cast$uas$ucarrier$usubset'(X0)))
              & ~ empty(X1) )
           => X1 = 'filter$uof$unet$ustr'(X0,'net$uof$ubool$ufilter'(X0,'cast$uas$ucarrier$usubset'(X0),X1)) ) ),
    inference(negate_conjecture,[status(cth)],[t15_yellow19]) ).

cnf(c2,plain,
    ( ~ in(X1,X0)
    | ~ in(X0,X1) ),
    inference(clausification,[status(esa)],[antisymmetry_r2_hidden]) ).

cnf(c69,plain,
    'rel$ustr'('boole$uPOSet'(X0)),
    inference(clausification,[status(esa)],[dt_k3_yellow_1]) ).

cnf(c70,plain,
    ( 'one$usorted$ustr'(X0)
    | ~ 'rel$ustr'(X0) ),
    inference(clausification,[status(esa)],[dt_l1_orders_2]) ).

cnf(c84,plain,
    empty('empty$uset'),
    inference(clausification,[status(esa)],[fc12_relat_1]) ).

cnf(c97,plain,
    ( ~ empty('the$ucarrier'(X0))
    | ~ 'one$usorted$ustr'(X0)
    | 'empty$ucarrier'(X0) ),
    inference(clausification,[status(esa)],[fc1_struct_0]) ).

cnf(c99,plain,
    ~ 'empty$ucarrier'('boole$uPOSet'(X0)),
    inference(clausification,[status(esa)],[fc1_waybel_7]) ).

cnf(c120,plain,
    ( ~ empty('cast$uas$ucarrier$usubset'(X0))
    | ~ 'one$usorted$ustr'(X0)
    | 'empty$ucarrier'(X0) ),
    inference(clausification,[status(esa)],[fc2_pre_topc]) ).

cnf(c371,plain,
    ( 'set$udifference'(X1,singleton('empty$uset')) = 'filter$uof$unet$ustr'(X0,'net$uof$ubool$ufilter'(X0,'cast$uas$ucarrier$usubset'(X0),X1))
    | 'empty$ucarrier'(X0)
    | ~ 'upper$urelstr$usubset'(X1,'boole$uPOSet'('cast$uas$ucarrier$usubset'(X0)))
    | empty(X1)
    | ~ 'filtered$usubset'(X1,'boole$uPOSet'('cast$uas$ucarrier$usubset'(X0)))
    | ~ element(X1,powerset('the$ucarrier'('boole$uPOSet'('cast$uas$ucarrier$usubset'(X0)))))
    | ~ 'one$usorted$ustr'(X0) ),
    inference(clausification,[status(esa)],[t14_yellow19]) ).

cnf(c373,plain,
    ( in(X0,X1)
    | empty(X1)
    | ~ element(X0,X1) ),
    inference(clausification,[status(esa)],[t2_subset]) ).

cnf(c378,plain,
    ( ~ empty(X0)
    | empty(X2)
    | ~ 'upper$urelstr$usubset'(X1,'boole$uPOSet'(X2))
    | ~ 'filtered$usubset'(X1,'boole$uPOSet'(X2))
    | empty(X1)
    | ~ 'proper$uelement'(X1,powerset('the$ucarrier'('boole$uPOSet'(X2))))
    | ~ element(X1,powerset('the$ucarrier'('boole$uPOSet'(X2))))
    | ~ in(X0,X1) ),
    inference(clausification,[status(esa)],[t2_yellow19]) ).

cnf(c383,plain,
    ( element(X0,X2)
    | ~ element(X1,powerset(X2))
    | ~ in(X0,X1) ),
    inference(clausification,[status(esa)],[t4_subset]) ).

cnf(c384,plain,
    ( ~ empty(X2)
    | ~ element(X1,powerset(X2))
    | ~ in(X0,X1) ),
    inference(clausification,[status(esa)],[t5_subset]) ).

cnf(c386,plain,
    ( in(X1,X0)
    | 'set$udifference'(X0,singleton(X1)) = X0 ),
    inference(clausification,[status(esa)],[t65_zfmisc_1]) ).

cnf(c390,plain,
    ~ 'empty$ucarrier'(sK211),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(c391,plain,
    'one$usorted$ustr'(sK211),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(c392,plain,
    ~ empty(sK212),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(c393,plain,
    'filtered$usubset'(sK212,'boole$uPOSet'('cast$uas$ucarrier$usubset'(sK211))),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(c394,plain,
    'upper$urelstr$usubset'(sK212,'boole$uPOSet'('cast$uas$ucarrier$usubset'(sK211))),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(c395,plain,
    'proper$uelement'(sK212,powerset('the$ucarrier'('boole$uPOSet'('cast$uas$ucarrier$usubset'(sK211))))),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(c396,plain,
    element(sK212,powerset('the$ucarrier'('boole$uPOSet'('cast$uas$ucarrier$usubset'(sK211))))),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(c397,plain,
    sK212 != 'filter$uof$unet$ustr'(sK211,'net$uof$ubool$ufilter'(sK211,'cast$uas$ucarrier$usubset'(sK211),sK212)),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(d0,plain,
    ( ~ 'filtered$usubset'(sK212,'boole$uPOSet'('cast$uas$ucarrier$usubset'(sK211)))
    | ~ 'upper$urelstr$usubset'(sK212,'boole$uPOSet'('cast$uas$ucarrier$usubset'(sK211)))
    | ~ element(sK212,powerset('the$ucarrier'('boole$uPOSet'('cast$uas$ucarrier$usubset'(sK211)))))
    | ~ empty(X0)
    | empty(sK212)
    | empty('cast$uas$ucarrier$usubset'(sK211))
    | ~ in(X0,sK212) ),
    inference(resolution,[status(thm)],[c378,c395]) ).

cnf(d1,plain,
    ( ~ 'filtered$usubset'(sK212,'boole$uPOSet'('cast$uas$ucarrier$usubset'(sK211)))
    | ~ 'upper$urelstr$usubset'(sK212,'boole$uPOSet'('cast$uas$ucarrier$usubset'(sK211)))
    | ~ element(sK212,powerset('the$ucarrier'('boole$uPOSet'('cast$uas$ucarrier$usubset'(sK211)))))
    | empty('cast$uas$ucarrier$usubset'(sK211))
    | ~ empty(X0)
    | ~ in(X0,sK212) ),
    inference(resolution,[status(thm)],[c392,d0]) ).

cnf(d2,plain,
    ( ~ 'upper$urelstr$usubset'(sK212,'boole$uPOSet'('cast$uas$ucarrier$usubset'(sK211)))
    | ~ element(sK212,powerset('the$ucarrier'('boole$uPOSet'('cast$uas$ucarrier$usubset'(sK211)))))
    | empty('cast$uas$ucarrier$usubset'(sK211))
    | ~ empty(X0)
    | ~ in(X0,sK212) ),
    inference(resolution,[status(thm)],[c393,d1]) ).

cnf(d3,plain,
    ( ~ element(sK212,powerset('the$ucarrier'('boole$uPOSet'('cast$uas$ucarrier$usubset'(sK211)))))
    | empty('cast$uas$ucarrier$usubset'(sK211))
    | ~ empty(X0)
    | ~ in(X0,sK212) ),
    inference(resolution,[status(thm)],[c394,d2]) ).

cnf(d4,plain,
    ( empty('cast$uas$ucarrier$usubset'(sK211))
    | ~ empty(X0)
    | ~ in(X0,sK212) ),
    inference(resolution,[status(thm)],[c396,d3]) ).

cnf(d5,plain,
    ( 'set$udifference'(sK212,singleton(X0)) = sK212
    | empty('cast$uas$ucarrier$usubset'(sK211))
    | ~ empty(X0) ),
    inference(resolution,[status(thm)],[d4,c386]) ).

cnf(d6,plain,
    ( empty('cast$uas$ucarrier$usubset'(sK211))
    | 'set$udifference'(sK212,singleton('empty$uset')) = sK212 ),
    inference(resolution,[status(thm)],[d5,c84]) ).

cnf(d7,plain,
    ( 'empty$ucarrier'(sK211)
    | ~ 'one$usorted$ustr'(sK211)
    | 'set$udifference'(sK212,singleton('empty$uset')) = sK212 ),
    inference(resolution,[status(thm)],[d6,c120]) ).

cnf(d8,plain,
    ( ~ 'one$usorted$ustr'(sK211)
    | 'set$udifference'(sK212,singleton('empty$uset')) = sK212 ),
    inference(resolution,[status(thm)],[c390,d7]) ).

cnf(d9,plain,
    'set$udifference'(sK212,singleton('empty$uset')) = sK212,
    inference(resolution,[status(thm)],[c391,d8]) ).

cnf(d10,plain,
    ( ~ 'filtered$usubset'(sK212,'boole$uPOSet'('cast$uas$ucarrier$usubset'(sK211)))
    | ~ 'upper$urelstr$usubset'(sK212,'boole$uPOSet'('cast$uas$ucarrier$usubset'(sK211)))
    | empty(sK212)
    | 'empty$ucarrier'(sK211)
    | ~ 'one$usorted$ustr'(sK211)
    | 'set$udifference'(sK212,singleton('empty$uset')) = 'filter$uof$unet$ustr'(sK211,'net$uof$ubool$ufilter'(sK211,'cast$uas$ucarrier$usubset'(sK211),sK212)) ),
    inference(resolution,[status(thm)],[c371,c396]) ).

cnf(d11,plain,
    ( ~ 'filtered$usubset'(sK212,'boole$uPOSet'('cast$uas$ucarrier$usubset'(sK211)))
    | ~ 'upper$urelstr$usubset'(sK212,'boole$uPOSet'('cast$uas$ucarrier$usubset'(sK211)))
    | empty(sK212)
    | ~ 'one$usorted$ustr'(sK211)
    | 'set$udifference'(sK212,singleton('empty$uset')) = 'filter$uof$unet$ustr'(sK211,'net$uof$ubool$ufilter'(sK211,'cast$uas$ucarrier$usubset'(sK211),sK212)) ),
    inference(resolution,[status(thm)],[c390,d10]) ).

cnf(d12,plain,
    ( ~ 'filtered$usubset'(sK212,'boole$uPOSet'('cast$uas$ucarrier$usubset'(sK211)))
    | ~ 'upper$urelstr$usubset'(sK212,'boole$uPOSet'('cast$uas$ucarrier$usubset'(sK211)))
    | empty(sK212)
    | 'set$udifference'(sK212,singleton('empty$uset')) = 'filter$uof$unet$ustr'(sK211,'net$uof$ubool$ufilter'(sK211,'cast$uas$ucarrier$usubset'(sK211),sK212)) ),
    inference(resolution,[status(thm)],[c391,d11]) ).

cnf(d13,plain,
    ( ~ 'filtered$usubset'(sK212,'boole$uPOSet'('cast$uas$ucarrier$usubset'(sK211)))
    | ~ 'upper$urelstr$usubset'(sK212,'boole$uPOSet'('cast$uas$ucarrier$usubset'(sK211)))
    | 'set$udifference'(sK212,singleton('empty$uset')) = 'filter$uof$unet$ustr'(sK211,'net$uof$ubool$ufilter'(sK211,'cast$uas$ucarrier$usubset'(sK211),sK212)) ),
    inference(resolution,[status(thm)],[c392,d12]) ).

cnf(d14,plain,
    ( ~ 'upper$urelstr$usubset'(sK212,'boole$uPOSet'('cast$uas$ucarrier$usubset'(sK211)))
    | 'set$udifference'(sK212,singleton('empty$uset')) = 'filter$uof$unet$ustr'(sK211,'net$uof$ubool$ufilter'(sK211,'cast$uas$ucarrier$usubset'(sK211),sK212)) ),
    inference(resolution,[status(thm)],[c393,d13]) ).

cnf(d15,plain,
    'set$udifference'(sK212,singleton('empty$uset')) = 'filter$uof$unet$ustr'(sK211,'net$uof$ubool$ufilter'(sK211,'cast$uas$ucarrier$usubset'(sK211),sK212)),
    inference(resolution,[status(thm)],[c394,d14]) ).

cnf(d16,plain,
    sK212 != 'set$udifference'(sK212,singleton('empty$uset')),
    inference(demodulation,[status(thm)],[c397,d15]) ).

cnf(d17,plain,
    sK212 != sK212,
    inference(demodulation,[status(thm)],[d16,d9]) ).

cnf(d18,plain,
    ( ~ empty('the$ucarrier'('boole$uPOSet'('cast$uas$ucarrier$usubset'(sK211))))
    | ~ in(X0,sK212) ),
    inference(resolution,[status(thm)],[c384,c396]) ).

cnf(d19,plain,
    ( element(X0,'the$ucarrier'('boole$uPOSet'('cast$uas$ucarrier$usubset'(sK211))))
    | ~ in(X0,sK212) ),
    inference(resolution,[status(thm)],[c383,c396]) ).

cnf(d20,plain,
    ( empty('the$ucarrier'('boole$uPOSet'('cast$uas$ucarrier$usubset'(sK211))))
    | in(X0,'the$ucarrier'('boole$uPOSet'('cast$uas$ucarrier$usubset'(sK211))))
    | ~ in(X0,sK212) ),
    inference(resolution,[status(thm)],[d19,c373]) ).

cnf(d21,plain,
    ( ~ in('the$ucarrier'('boole$uPOSet'('cast$uas$ucarrier$usubset'(sK211))),X0)
    | empty('the$ucarrier'('boole$uPOSet'('cast$uas$ucarrier$usubset'(sK211))))
    | ~ in(X0,sK212) ),
    inference(resolution,[status(thm)],[d20,c2]) ).

cnf(d22,plain,
    ( empty('the$ucarrier'('boole$uPOSet'('cast$uas$ucarrier$usubset'(sK211))))
    | ~ in('the$ucarrier'('boole$uPOSet'('cast$uas$ucarrier$usubset'(sK211))),sK212)
    | empty('the$ucarrier'('boole$uPOSet'('cast$uas$ucarrier$usubset'(sK211))))
    | ~ in('the$ucarrier'('boole$uPOSet'('cast$uas$ucarrier$usubset'(sK211))),sK212) ),
    inference(resolution,[status(thm)],[d21,d20]) ).

cnf(d23,plain,
    ( 'set$udifference'(sK212,singleton('the$ucarrier'('boole$uPOSet'('cast$uas$ucarrier$usubset'(sK211))))) = sK212
    | empty('the$ucarrier'('boole$uPOSet'('cast$uas$ucarrier$usubset'(sK211)))) ),
    inference(resolution,[status(thm)],[d22,c386]) ).

cnf(d24,plain,
    ( ~ in(X0,sK212)
    | 'set$udifference'(sK212,singleton('the$ucarrier'('boole$uPOSet'('cast$uas$ucarrier$usubset'(sK211))))) = sK212 ),
    inference(resolution,[status(thm)],[d23,d18]) ).

cnf(d25,plain,
    ( 'set$udifference'(sK212,singleton(X0)) = sK212
    | 'set$udifference'(sK212,singleton('the$ucarrier'('boole$uPOSet'('cast$uas$ucarrier$usubset'(sK211))))) = sK212 ),
    inference(resolution,[status(thm)],[d24,c386]) ).

cnf(d26,plain,
    ( 'set$udifference'(sK212,singleton('the$ucarrier'('boole$uPOSet'('cast$uas$ucarrier$usubset'(sK211))))) = sK212
    | sK212 != sK212 ),
    inference(superposition,[status(thm)],[d25,d16]) ).

cnf(d27,plain,
    'set$udifference'(sK212,singleton('the$ucarrier'('boole$uPOSet'('cast$uas$ucarrier$usubset'(sK211))))) = sK212,
    inference(equality_resolution,[status(thm)],[d26]) ).

cnf(d28,plain,
    ( 'empty$ucarrier'('boole$uPOSet'('cast$uas$ucarrier$usubset'(sK211)))
    | ~ 'one$usorted$ustr'('boole$uPOSet'('cast$uas$ucarrier$usubset'(sK211)))
    | 'set$udifference'(sK212,singleton('the$ucarrier'('boole$uPOSet'('cast$uas$ucarrier$usubset'(sK211))))) = sK212 ),
    inference(resolution,[status(thm)],[d23,c97]) ).

cnf(d29,plain,
    ( 'empty$ucarrier'('boole$uPOSet'('cast$uas$ucarrier$usubset'(sK211)))
    | ~ 'one$usorted$ustr'('boole$uPOSet'('cast$uas$ucarrier$usubset'(sK211)))
    | sK212 = sK212 ),
    inference(demodulation,[status(thm)],[d28,d27]) ).

cnf(d30,plain,
    ( ~ 'one$usorted$ustr'('boole$uPOSet'('cast$uas$ucarrier$usubset'(sK211)))
    | sK212 = sK212 ),
    inference(resolution,[status(thm)],[c99,d29]) ).

cnf(d31,plain,
    'one$usorted$ustr'('boole$uPOSet'(X0)),
    inference(resolution,[status(thm)],[c70,c69]) ).

cnf(d32,plain,
    sK212 = sK212,
    inference(resolution,[status(thm)],[d31,d30]) ).

cnf(d33,plain,
    $false,
    inference(resolution,[status(thm)],[d32,d17]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : SEU394+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06  % Command  : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.42  % Computer : n003.cluster.edu
% 0.15/0.42  % Model    : x86_64 x86_64
% 0.15/0.42  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.42  % Memory   : 8046.5625MB
% 0.15/0.42  % OS       : Linux 6.8.0-71-generic
% 0.15/0.42  % CPULimit : 300
% 0.15/0.42  % WCLimit  : 300
% 0.15/0.42  % DateTime : Sat Sep 26 09:27:25 UTC 2026
% 0.15/0.42  % CPUTime  : 
% 0.15/0.42  Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.40/5.96  % SZS status Theorem for theBenchmark.p
% 10.40/5.96  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------