↑ Up

LisaST---0.9.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : LisaST---0.9
% Problem  : SET669+3 : TPTP v9.3.1. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p

% 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 : Sun Sep 27 08:33:03 AM UTC 2026

% Result   : Theorem 16.67s 8.09s
% Output   : CNFRefutation 16.67s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   85 (  17 unt;   0 def)
%            Number of atoms       :  267 (  29 equ)
%            Maximal formula atoms :    7 (   3 avg)
%            Number of connectives :  316 ( 134   ~; 133   |;   6   &)
%                                         (   5 <=>;  38  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;   4 con; 0-3 aty)
%            Number of variables   :  123 (   2 sgn  34   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(p2,axiom,
    ! [X0] :
      ( 'ilf$utype'(X0,'set$utype')
     => ! [X1] :
          ( 'ilf$utype'(X1,'set$utype')
         => ! [X2] :
              ( 'ilf$utype'(X2,'set$utype')
             => ! [X3] :
                  ( 'ilf$utype'(X3,'relation$utype'(X0,X1))
                 => ( subset('identity$urelation$uof'(X2),X3)
                   => ( subset(X2,range(X0,X1,X3))
                      & subset(X2,domain(X0,X1,X3)) ) ) ) ) ) ) ).

fof(p7,axiom,
    ! [X0] :
      ( 'ilf$utype'(X0,'set$utype')
     => ! [X1] :
          ( 'ilf$utype'(X1,'set$utype')
         => ( subset(X0,X1)
          <=> ! [X2] :
                ( 'ilf$utype'(X2,'set$utype')
               => ( member(X2,X0)
                 => member(X2,X1) ) ) ) ) ) ).

fof(p9,axiom,
    ! [X0] :
      ( 'ilf$utype'(X0,'set$utype')
     => ! [X1] :
          ( 'ilf$utype'(X1,'set$utype')
         => ( X0 = X1
          <=> ( subset(X1,X0)
              & subset(X0,X1) ) ) ) ) ).

fof(p16,axiom,
    ! [X0] :
      ( 'ilf$utype'(X0,'set$utype')
     => ! [X1] :
          ( 'ilf$utype'(X1,'set$utype')
         => ( 'ilf$utype'(X1,'subset$utype'(X0))
          <=> 'ilf$utype'(X1,'member$utype'('power$uset'(X0))) ) ) ) ).

fof(p18,axiom,
    ! [X0] :
      ( 'ilf$utype'(X0,'set$utype')
     => subset(X0,X0) ) ).

fof(p20,axiom,
    ! [X0] :
      ( 'ilf$utype'(X0,'set$utype')
     => ! [X1] :
          ( 'ilf$utype'(X1,'set$utype')
         => ( member(X0,'power$uset'(X1))
          <=> ! [X2] :
                ( 'ilf$utype'(X2,'set$utype')
               => ( member(X2,X0)
                 => member(X2,X1) ) ) ) ) ) ).

fof(p21,axiom,
    ! [X0] :
      ( 'ilf$utype'(X0,'set$utype')
     => ( 'ilf$utype'('power$uset'(X0),'set$utype')
        & ~ empty('power$uset'(X0)) ) ) ).

fof(p22,axiom,
    ! [X0] :
      ( 'ilf$utype'(X0,'set$utype')
     => ! [X1] :
          ( ( 'ilf$utype'(X1,'set$utype')
            & ~ empty(X1) )
         => ( 'ilf$utype'(X0,'member$utype'(X1))
          <=> member(X0,X1) ) ) ) ).

fof(p28,axiom,
    ! [X0] :
      ( 'ilf$utype'(X0,'set$utype')
     => ! [X1] :
          ( 'ilf$utype'(X1,'set$utype')
         => ! [X2] :
              ( 'ilf$utype'(X2,'relation$utype'(X0,X1))
             => domain(X0,X1,X2) = 'domain$uof'(X2) ) ) ) ).

fof(p30,axiom,
    ! [X0] :
      ( 'ilf$utype'(X0,'set$utype')
     => ! [X1] :
          ( 'ilf$utype'(X1,'set$utype')
         => ! [X2] :
              ( 'ilf$utype'(X2,'relation$utype'(X0,X1))
             => range(X0,X1,X2) = 'range$uof'(X2) ) ) ) ).

fof(p31,axiom,
    ! [X0] :
      ( 'ilf$utype'(X0,'set$utype')
     => ! [X1] :
          ( 'ilf$utype'(X1,'set$utype')
         => ! [X2] :
              ( 'ilf$utype'(X2,'relation$utype'(X0,X1))
             => 'ilf$utype'(range(X0,X1,X2),'subset$utype'(X1)) ) ) ) ).

fof(p32,axiom,
    ! [X0] : 'ilf$utype'(X0,'set$utype') ).

fof(prove_relset_1_32,conjecture,
    ! [X0] :
      ( 'ilf$utype'(X0,'set$utype')
     => ! [X1] :
          ( 'ilf$utype'(X1,'set$utype')
         => ! [X2] :
              ( 'ilf$utype'(X2,'relation$utype'(X0,X1))
             => ( subset('identity$urelation$uof'(X1),X2)
               => ( X1 = range(X0,X1,X2)
                  & subset(X1,domain(X0,X1,X2)) ) ) ) ) ) ).

fof(negated_conjecture,negated_conjecture,
    ~ ! [X0] :
        ( 'ilf$utype'(X0,'set$utype')
       => ! [X1] :
            ( 'ilf$utype'(X1,'set$utype')
           => ! [X2] :
                ( 'ilf$utype'(X2,'relation$utype'(X0,X1))
               => ( subset('identity$urelation$uof'(X1),X2)
                 => ( X1 = range(X0,X1,X2)
                    & subset(X1,domain(X0,X1,X2)) ) ) ) ) ),
    inference(negate_conjecture,[status(cth)],[prove_relset_1_32]) ).

cnf(c1,plain,
    ( ~ 'ilf$utype'(X1,'set$utype')
    | subset(X3,domain(X1,X2,X0))
    | ~ subset('identity$urelation$uof'(X3),X0)
    | ~ 'ilf$utype'(X2,'set$utype')
    | ~ 'ilf$utype'(X3,'set$utype')
    | ~ 'ilf$utype'(X0,'relation$utype'(X1,X2)) ),
    inference(clausification,[status(esa)],[p2]) ).

cnf(c2,plain,
    ( ~ subset('identity$urelation$uof'(X0),X3)
    | ~ 'ilf$utype'(X2,'set$utype')
    | ~ 'ilf$utype'(X0,'set$utype')
    | ~ 'ilf$utype'(X1,'set$utype')
    | ~ 'ilf$utype'(X3,'relation$utype'(X1,X2))
    | subset(X0,range(X1,X2,X3)) ),
    inference(clausification,[status(esa)],[p2]) ).

cnf(c12,plain,
    ( member(sK20(X0,X1),X0)
    | subset(X0,X1)
    | ~ 'ilf$utype'(X1,'set$utype')
    | ~ 'ilf$utype'(X0,'set$utype') ),
    inference(clausification,[status(esa)],[p7]) ).

cnf(c13,plain,
    ( ~ member(sK20(X0,X1),X1)
    | subset(X0,X1)
    | ~ 'ilf$utype'(X1,'set$utype')
    | ~ 'ilf$utype'(X0,'set$utype') ),
    inference(clausification,[status(esa)],[p7]) ).

cnf(c23,plain,
    ( ~ subset(X1,X0)
    | X0 = X1
    | ~ 'ilf$utype'(X1,'set$utype')
    | ~ subset(X0,X1)
    | ~ 'ilf$utype'(X0,'set$utype') ),
    inference(clausification,[status(esa)],[p9]) ).

cnf(c32,plain,
    ( 'ilf$utype'(X1,'member$utype'('power$uset'(X0)))
    | ~ 'ilf$utype'(X1,'subset$utype'(X0))
    | ~ 'ilf$utype'(X1,'set$utype')
    | ~ 'ilf$utype'(X0,'set$utype') ),
    inference(clausification,[status(esa)],[p16]) ).

cnf(c35,plain,
    ( subset(X0,X0)
    | ~ 'ilf$utype'(X0,'set$utype') ),
    inference(clausification,[status(esa)],[p18]) ).

cnf(c37,plain,
    ( ~ member(X0,X2)
    | ~ 'ilf$utype'(X2,'set$utype')
    | ~ 'ilf$utype'(X1,'set$utype')
    | ~ member(X2,'power$uset'(X1))
    | ~ 'ilf$utype'(X0,'set$utype')
    | member(X0,X1) ),
    inference(clausification,[status(esa)],[p20]) ).

cnf(c41,plain,
    ( ~ empty('power$uset'(X0))
    | ~ 'ilf$utype'(X0,'set$utype') ),
    inference(clausification,[status(esa)],[p21]) ).

cnf(c43,plain,
    ( ~ 'ilf$utype'(X1,'set$utype')
    | empty(X0)
    | ~ 'ilf$utype'(X1,'member$utype'(X0))
    | member(X1,X0)
    | ~ 'ilf$utype'(X0,'set$utype') ),
    inference(clausification,[status(esa)],[p22]) ).

cnf(c59,plain,
    ( domain(X0,X1,X2) = 'domain$uof'(X2)
    | ~ 'ilf$utype'(X2,'relation$utype'(X0,X1))
    | ~ 'ilf$utype'(X1,'set$utype')
    | ~ 'ilf$utype'(X0,'set$utype') ),
    inference(clausification,[status(esa)],[p28]) ).

cnf(c61,plain,
    ( range(X0,X1,X2) = 'range$uof'(X2)
    | ~ 'ilf$utype'(X2,'relation$utype'(X0,X1))
    | ~ 'ilf$utype'(X1,'set$utype')
    | ~ 'ilf$utype'(X0,'set$utype') ),
    inference(clausification,[status(esa)],[p30]) ).

cnf(c62,plain,
    ( 'ilf$utype'(range(X0,X1,X2),'subset$utype'(X1))
    | ~ 'ilf$utype'(X2,'relation$utype'(X0,X1))
    | ~ 'ilf$utype'(X1,'set$utype')
    | ~ 'ilf$utype'(X0,'set$utype') ),
    inference(clausification,[status(esa)],[p31]) ).

cnf(c63,plain,
    'ilf$utype'(X0,'set$utype'),
    inference(clausification,[status(esa)],[p32]) ).

cnf(c66,plain,
    'ilf$utype'(sK83,'relation$utype'(sK81,sK82)),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(c67,plain,
    subset('identity$urelation$uof'(sK82),sK83),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(c68,plain,
    ( sK82 != range(sK81,sK82,sK83)
    | ~ subset(sK82,domain(sK81,sK82,sK83)) ),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(d0,plain,
    ( ~ subset(X1,X0)
    | ~ subset(X0,X1)
    | ~ 'ilf$utype'(X1,'set$utype')
    | X0 = X1 ),
    inference(resolution,[status(thm)],[c63,c23]) ).

cnf(d1,plain,
    ( ~ member(sK20(X0,X1),X1)
    | subset(X0,X1)
    | ~ 'ilf$utype'(X0,'set$utype') ),
    inference(resolution,[status(thm)],[c63,c13]) ).

cnf(d2,plain,
    ( member(sK20(X0,X1),X0)
    | subset(X0,X1)
    | ~ 'ilf$utype'(X0,'set$utype') ),
    inference(resolution,[status(thm)],[c63,c12]) ).

cnf(d3,plain,
    ( ~ member(X1,'power$uset'(X0))
    | ~ member(X2,X1)
    | member(X2,X0)
    | ~ 'ilf$utype'(X1,'set$utype')
    | ~ 'ilf$utype'(X0,'set$utype') ),
    inference(resolution,[status(thm)],[c63,c37]) ).

cnf(d4,plain,
    ( 'ilf$utype'(range(X1,X2,X0),'subset$utype'(X2))
    | ~ 'ilf$utype'(X2,'set$utype')
    | ~ 'ilf$utype'(X0,'relation$utype'(X1,X2)) ),
    inference(resolution,[status(thm)],[c63,c62]) ).

cnf(d5,plain,
    ( ~ 'ilf$utype'(X1,'set$utype')
    | ~ 'ilf$utype'(X2,'relation$utype'(X0,X1))
    | range(X0,X1,X2) = 'range$uof'(X2) ),
    inference(resolution,[status(thm)],[c63,c61]) ).

cnf(d6,plain,
    ( ~ 'ilf$utype'(sK82,'set$utype')
    | range(sK81,sK82,sK83) = 'range$uof'(sK83) ),
    inference(resolution,[status(thm)],[d5,c66]) ).

cnf(d7,plain,
    range(sK81,sK82,sK83) = 'range$uof'(sK83),
    inference(resolution,[status(thm)],[c63,d6]) ).

cnf(d8,plain,
    ( ~ 'ilf$utype'(sK83,'relation$utype'(sK81,sK82))
    | ~ 'ilf$utype'(sK82,'set$utype')
    | 'ilf$utype'('range$uof'(sK83),'subset$utype'(sK82)) ),
    inference(superposition,[status(thm)],[d7,d4]) ).

cnf(d9,plain,
    ( ~ 'ilf$utype'(sK82,'set$utype')
    | 'ilf$utype'('range$uof'(sK83),'subset$utype'(sK82)) ),
    inference(resolution,[status(thm)],[c66,d8]) ).

cnf(d10,plain,
    'ilf$utype'('range$uof'(sK83),'subset$utype'(sK82)),
    inference(resolution,[status(thm)],[c63,d9]) ).

cnf(d11,plain,
    ( 'ilf$utype'(X0,'member$utype'('power$uset'(X1)))
    | ~ 'ilf$utype'(X0,'subset$utype'(X1))
    | ~ 'ilf$utype'(X0,'set$utype') ),
    inference(resolution,[status(thm)],[c63,c32]) ).

cnf(d12,plain,
    ( empty(X1)
    | member(X0,X1)
    | ~ 'ilf$utype'(X0,'member$utype'(X1))
    | ~ 'ilf$utype'(X0,'set$utype') ),
    inference(resolution,[status(thm)],[c63,c43]) ).

cnf(d13,plain,
    ( ~ 'ilf$utype'(X0,'subset$utype'(X1))
    | ~ 'ilf$utype'(X0,'set$utype')
    | empty('power$uset'(X1))
    | member(X0,'power$uset'(X1))
    | ~ 'ilf$utype'(X0,'set$utype') ),
    inference(resolution,[status(thm)],[d12,d11]) ).

cnf(d14,plain,
    ( empty('power$uset'(X1))
    | member(X0,'power$uset'(X1))
    | ~ 'ilf$utype'(X0,'subset$utype'(X1)) ),
    inference(resolution,[status(thm)],[c63,d13]) ).

cnf(d15,plain,
    ~ empty('power$uset'(X0)),
    inference(resolution,[status(thm)],[c63,c41]) ).

cnf(d16,plain,
    ( member(X0,'power$uset'(X1))
    | ~ 'ilf$utype'(X0,'subset$utype'(X1)) ),
    inference(resolution,[status(thm)],[d15,d14]) ).

cnf(d17,plain,
    member('range$uof'(sK83),'power$uset'(sK82)),
    inference(resolution,[status(thm)],[d16,d10]) ).

cnf(d18,plain,
    ( member(X0,sK82)
    | ~ member(X0,'range$uof'(sK83))
    | ~ 'ilf$utype'(sK82,'set$utype')
    | ~ 'ilf$utype'('range$uof'(sK83),'set$utype') ),
    inference(resolution,[status(thm)],[d17,d3]) ).

cnf(d19,plain,
    ( member(X0,sK82)
    | ~ member(X0,'range$uof'(sK83))
    | ~ 'ilf$utype'(sK82,'set$utype') ),
    inference(resolution,[status(thm)],[c63,d18]) ).

cnf(d20,plain,
    ( subset('range$uof'(sK83),X0)
    | ~ 'ilf$utype'('range$uof'(sK83),'set$utype')
    | member(sK20('range$uof'(sK83),X0),sK82)
    | ~ 'ilf$utype'(sK82,'set$utype') ),
    inference(resolution,[status(thm)],[d19,d2]) ).

cnf(d21,plain,
    ( member(sK20('range$uof'(sK83),X0),sK82)
    | subset('range$uof'(sK83),X0)
    | ~ 'ilf$utype'(sK82,'set$utype') ),
    inference(resolution,[status(thm)],[c63,d20]) ).

cnf(d22,plain,
    ( subset('range$uof'(sK83),sK82)
    | ~ 'ilf$utype'('range$uof'(sK83),'set$utype')
    | subset('range$uof'(sK83),sK82)
    | ~ 'ilf$utype'(sK82,'set$utype') ),
    inference(resolution,[status(thm)],[d21,d1]) ).

cnf(d23,plain,
    ( subset('range$uof'(sK83),sK82)
    | ~ 'ilf$utype'(sK82,'set$utype') ),
    inference(resolution,[status(thm)],[c63,d22]) ).

cnf(d24,plain,
    ( ~ subset(sK82,'range$uof'(sK83))
    | ~ 'ilf$utype'(sK82,'set$utype')
    | 'range$uof'(sK83) = sK82
    | ~ 'ilf$utype'(sK82,'set$utype') ),
    inference(resolution,[status(thm)],[d23,d0]) ).

cnf(d25,plain,
    ( ~ subset(sK82,'range$uof'(sK83))
    | 'range$uof'(sK83) = sK82 ),
    inference(resolution,[status(thm)],[c63,d24]) ).

cnf(d26,plain,
    ( ~ subset('identity$urelation$uof'(X3),X0)
    | subset(X3,range(X1,X2,X0))
    | ~ 'ilf$utype'(X2,'set$utype')
    | ~ 'ilf$utype'(X3,'set$utype')
    | ~ 'ilf$utype'(X0,'relation$utype'(X1,X2)) ),
    inference(resolution,[status(thm)],[c63,c2]) ).

cnf(d27,plain,
    ( ~ subset('identity$urelation$uof'(X3),X1)
    | subset(X3,range(X2,X0,X1))
    | ~ 'ilf$utype'(X1,'relation$utype'(X2,X0))
    | ~ 'ilf$utype'(X0,'set$utype') ),
    inference(resolution,[status(thm)],[c63,d26]) ).

cnf(d28,plain,
    ( ~ subset('identity$urelation$uof'(X0),sK83)
    | ~ 'ilf$utype'(sK82,'set$utype')
    | ~ 'ilf$utype'(sK83,'relation$utype'(sK81,sK82))
    | subset(X0,'range$uof'(sK83)) ),
    inference(superposition,[status(thm)],[d7,d27]) ).

cnf(d29,plain,
    ( ~ subset('identity$urelation$uof'(X0),sK83)
    | subset(X0,'range$uof'(sK83))
    | ~ 'ilf$utype'(sK82,'set$utype') ),
    inference(resolution,[status(thm)],[c66,d28]) ).

cnf(d30,plain,
    ( ~ subset('identity$urelation$uof'(X0),sK83)
    | subset(X0,'range$uof'(sK83)) ),
    inference(resolution,[status(thm)],[c63,d29]) ).

cnf(d31,plain,
    subset(sK82,'range$uof'(sK83)),
    inference(resolution,[status(thm)],[d30,c67]) ).

cnf(d32,plain,
    'range$uof'(sK83) = sK82,
    inference(resolution,[status(thm)],[d31,d25]) ).

cnf(d33,plain,
    ( ~ 'ilf$utype'(X1,'set$utype')
    | ~ 'ilf$utype'(X2,'relation$utype'(X0,X1))
    | domain(X0,X1,X2) = 'domain$uof'(X2) ),
    inference(resolution,[status(thm)],[c63,c59]) ).

cnf(d34,plain,
    ( ~ 'ilf$utype'(sK82,'set$utype')
    | domain(sK81,sK82,sK83) = 'domain$uof'(sK83) ),
    inference(resolution,[status(thm)],[d33,c66]) ).

cnf(d35,plain,
    domain(sK81,sK82,sK83) = 'domain$uof'(sK83),
    inference(resolution,[status(thm)],[c63,d34]) ).

cnf(d36,plain,
    ( ~ subset(sK82,'domain$uof'(sK83))
    | sK82 != range(sK81,sK82,sK83) ),
    inference(demodulation,[status(thm)],[c68,d35]) ).

cnf(d37,plain,
    ( ~ subset(sK82,'domain$uof'(sK83))
    | sK82 != 'range$uof'(sK83) ),
    inference(demodulation,[status(thm)],[d36,d7]) ).

cnf(d38,plain,
    ( ~ subset('identity$urelation$uof'(X3),X0)
    | subset(X3,domain(X1,X2,X0))
    | ~ 'ilf$utype'(X2,'set$utype')
    | ~ 'ilf$utype'(X3,'set$utype')
    | ~ 'ilf$utype'(X0,'relation$utype'(X1,X2)) ),
    inference(resolution,[status(thm)],[c63,c1]) ).

cnf(d39,plain,
    ( ~ subset('identity$urelation$uof'(X3),X1)
    | subset(X3,domain(X2,X0,X1))
    | ~ 'ilf$utype'(X1,'relation$utype'(X2,X0))
    | ~ 'ilf$utype'(X0,'set$utype') ),
    inference(resolution,[status(thm)],[c63,d38]) ).

cnf(d40,plain,
    ( ~ subset('identity$urelation$uof'(X0),sK83)
    | ~ 'ilf$utype'(sK82,'set$utype')
    | ~ 'ilf$utype'(sK83,'relation$utype'(sK81,sK82))
    | subset(X0,'domain$uof'(sK83)) ),
    inference(superposition,[status(thm)],[d35,d39]) ).

cnf(d41,plain,
    ( ~ subset('identity$urelation$uof'(X0),sK83)
    | subset(X0,'domain$uof'(sK83))
    | ~ 'ilf$utype'(sK82,'set$utype') ),
    inference(resolution,[status(thm)],[c66,d40]) ).

cnf(d42,plain,
    ( ~ subset('identity$urelation$uof'(X0),sK83)
    | subset(X0,'domain$uof'(sK83)) ),
    inference(resolution,[status(thm)],[c63,d41]) ).

cnf(d43,plain,
    subset(sK82,'domain$uof'(sK83)),
    inference(resolution,[status(thm)],[d42,c67]) ).

cnf(d44,plain,
    sK82 != 'range$uof'(sK83),
    inference(resolution,[status(thm)],[d43,d37]) ).

cnf(d45,plain,
    sK82 != sK82,
    inference(demodulation,[status(thm)],[d44,d32]) ).

cnf(d46,plain,
    ( ~ subset('range$uof'(sK83),sK82)
    | ~ 'ilf$utype'('range$uof'(sK83),'set$utype')
    | sK82 = 'range$uof'(sK83) ),
    inference(resolution,[status(thm)],[d31,d0]) ).

cnf(d47,plain,
    ( ~ subset('range$uof'(sK83),sK82)
    | ~ 'ilf$utype'('range$uof'(sK83),'set$utype')
    | sK82 = sK82 ),
    inference(demodulation,[status(thm)],[d46,d32]) ).

cnf(d48,plain,
    ( ~ subset('range$uof'(sK83),sK82)
    | ~ 'ilf$utype'(sK82,'set$utype')
    | sK82 = sK82 ),
    inference(demodulation,[status(thm)],[d47,d32]) ).

cnf(d49,plain,
    ( ~ subset(sK82,sK82)
    | ~ 'ilf$utype'(sK82,'set$utype')
    | sK82 = sK82 ),
    inference(demodulation,[status(thm)],[d48,d32]) ).

cnf(d50,plain,
    ( ~ subset(sK82,sK82)
    | sK82 = sK82 ),
    inference(resolution,[status(thm)],[c63,d49]) ).

cnf(d51,plain,
    subset(X0,X0),
    inference(resolution,[status(thm)],[c63,c35]) ).

cnf(d52,plain,
    sK82 = sK82,
    inference(resolution,[status(thm)],[d51,d50]) ).

cnf(d53,plain,
    $false,
    inference(resolution,[status(thm)],[d52,d45]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SET669+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04  % Command  : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.03/5.60  % Computer : n004.cluster.edu
% 0.03/5.60  % Model    : x86_64 x86_64
% 0.03/5.60  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/5.60  % Memory   : 8046.5625MB
% 0.03/5.60  % OS       : Linux 6.8.0-71-generic
% 0.03/5.60  % CPULimit : 300
% 0.03/5.60  % WCLimit  : 300
% 0.03/5.60  % DateTime : Sat Sep 26 08:04:14 UTC 2026
% 0.03/5.60  % CPUTime  : 
% 0.03/5.60  Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 16.67/8.09  % SZS status Theorem for theBenchmark.p
% 16.67/8.09  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------