TSTP Solution File: SEU364+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SEU364+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n025.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 : Wed Aug 31 18:33:26 EDT 2022
% Result : Theorem 2.98s 0.76s
% Output : Refutation 2.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 16
% Syntax : Number of formulae : 118 ( 15 unt; 0 def)
% Number of atoms : 890 ( 117 equ)
% Maximal formula atoms : 36 ( 7 avg)
% Number of connectives : 1169 ( 397 ~; 441 |; 302 &)
% ( 8 <=>; 19 =>; 0 <=; 2 <~>)
% Maximal formula depth : 23 ( 9 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 2 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 3 con; 0-4 aty)
% Number of variables : 376 ( 228 !; 148 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f701,plain,
$false,
inference(avatar_sat_refutation,[],[f551,f700]) ).
fof(f700,plain,
~ spl28_11,
inference(avatar_contradiction_clause,[],[f699]) ).
fof(f699,plain,
( $false
| ~ spl28_11 ),
inference(subsumption_resolution,[],[f698,f475]) ).
fof(f475,plain,
in(sK11(sK21(sK9,sK8,sK10)),sK21(sK9,sK8,sK10)),
inference(factoring,[],[f391]) ).
fof(f391,plain,
! [X0] :
( in(sK11(X0),sK21(sK9,sK8,sK10))
| in(sK11(X0),X0) ),
inference(subsumption_resolution,[],[f390,f112]) ).
fof(f112,plain,
finite(sK10),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
( element(sK9,powerset(the_carrier(sK8)))
& finite(sK10)
& rel_str(sK8)
& ! [X3] :
( ( ~ in(sK11(X3),X3)
| ~ in(sK11(X3),powerset(sK10))
| ! [X5] :
( sK11(X3) != X5
| ! [X6] :
( ~ relstr_set_smaller(sK8,X5,X6)
| ~ element(X6,the_carrier(sK8))
| ~ in(X6,sK9) ) ) )
& ( in(sK11(X3),X3)
| ( in(sK11(X3),powerset(sK10))
& sK11(X3) = sK12(X3)
& relstr_set_smaller(sK8,sK12(X3),sK13(X3))
& element(sK13(X3),the_carrier(sK8))
& in(sK13(X3),sK9) ) ) )
& transitive_relstr(sK8)
& element(sK10,powerset(sK9))
& ~ empty_carrier(sK8) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9,sK10,sK11,sK12,sK13])],[f57,f61,f60,f59,f58]) ).
fof(f58,plain,
( ? [X0,X1,X2] :
( element(X1,powerset(the_carrier(X0)))
& finite(X2)
& rel_str(X0)
& ! [X3] :
? [X4] :
( ( ~ in(X4,X3)
| ~ in(X4,powerset(X2))
| ! [X5] :
( X4 != X5
| ! [X6] :
( ~ relstr_set_smaller(X0,X5,X6)
| ~ element(X6,the_carrier(X0))
| ~ in(X6,X1) ) ) )
& ( in(X4,X3)
| ( in(X4,powerset(X2))
& ? [X7] :
( X4 = X7
& ? [X8] :
( relstr_set_smaller(X0,X7,X8)
& element(X8,the_carrier(X0))
& in(X8,X1) ) ) ) ) )
& transitive_relstr(X0)
& element(X2,powerset(X1))
& ~ empty_carrier(X0) )
=> ( element(sK9,powerset(the_carrier(sK8)))
& finite(sK10)
& rel_str(sK8)
& ! [X3] :
? [X4] :
( ( ~ in(X4,X3)
| ~ in(X4,powerset(sK10))
| ! [X5] :
( X4 != X5
| ! [X6] :
( ~ relstr_set_smaller(sK8,X5,X6)
| ~ element(X6,the_carrier(sK8))
| ~ in(X6,sK9) ) ) )
& ( in(X4,X3)
| ( in(X4,powerset(sK10))
& ? [X7] :
( X4 = X7
& ? [X8] :
( relstr_set_smaller(sK8,X7,X8)
& element(X8,the_carrier(sK8))
& in(X8,sK9) ) ) ) ) )
& transitive_relstr(sK8)
& element(sK10,powerset(sK9))
& ~ empty_carrier(sK8) ) ),
introduced(choice_axiom,[]) ).
fof(f59,plain,
! [X3] :
( ? [X4] :
( ( ~ in(X4,X3)
| ~ in(X4,powerset(sK10))
| ! [X5] :
( X4 != X5
| ! [X6] :
( ~ relstr_set_smaller(sK8,X5,X6)
| ~ element(X6,the_carrier(sK8))
| ~ in(X6,sK9) ) ) )
& ( in(X4,X3)
| ( in(X4,powerset(sK10))
& ? [X7] :
( X4 = X7
& ? [X8] :
( relstr_set_smaller(sK8,X7,X8)
& element(X8,the_carrier(sK8))
& in(X8,sK9) ) ) ) ) )
=> ( ( ~ in(sK11(X3),X3)
| ~ in(sK11(X3),powerset(sK10))
| ! [X5] :
( sK11(X3) != X5
| ! [X6] :
( ~ relstr_set_smaller(sK8,X5,X6)
| ~ element(X6,the_carrier(sK8))
| ~ in(X6,sK9) ) ) )
& ( in(sK11(X3),X3)
| ( in(sK11(X3),powerset(sK10))
& ? [X7] :
( sK11(X3) = X7
& ? [X8] :
( relstr_set_smaller(sK8,X7,X8)
& element(X8,the_carrier(sK8))
& in(X8,sK9) ) ) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f60,plain,
! [X3] :
( ? [X7] :
( sK11(X3) = X7
& ? [X8] :
( relstr_set_smaller(sK8,X7,X8)
& element(X8,the_carrier(sK8))
& in(X8,sK9) ) )
=> ( sK11(X3) = sK12(X3)
& ? [X8] :
( relstr_set_smaller(sK8,sK12(X3),X8)
& element(X8,the_carrier(sK8))
& in(X8,sK9) ) ) ),
introduced(choice_axiom,[]) ).
fof(f61,plain,
! [X3] :
( ? [X8] :
( relstr_set_smaller(sK8,sK12(X3),X8)
& element(X8,the_carrier(sK8))
& in(X8,sK9) )
=> ( relstr_set_smaller(sK8,sK12(X3),sK13(X3))
& element(sK13(X3),the_carrier(sK8))
& in(sK13(X3),sK9) ) ),
introduced(choice_axiom,[]) ).
fof(f57,plain,
? [X0,X1,X2] :
( element(X1,powerset(the_carrier(X0)))
& finite(X2)
& rel_str(X0)
& ! [X3] :
? [X4] :
( ( ~ in(X4,X3)
| ~ in(X4,powerset(X2))
| ! [X5] :
( X4 != X5
| ! [X6] :
( ~ relstr_set_smaller(X0,X5,X6)
| ~ element(X6,the_carrier(X0))
| ~ in(X6,X1) ) ) )
& ( in(X4,X3)
| ( in(X4,powerset(X2))
& ? [X7] :
( X4 = X7
& ? [X8] :
( relstr_set_smaller(X0,X7,X8)
& element(X8,the_carrier(X0))
& in(X8,X1) ) ) ) ) )
& transitive_relstr(X0)
& element(X2,powerset(X1))
& ~ empty_carrier(X0) ),
inference(rectify,[],[f56]) ).
fof(f56,plain,
? [X0,X1,X2] :
( element(X1,powerset(the_carrier(X0)))
& finite(X2)
& rel_str(X0)
& ! [X3] :
? [X4] :
( ( ~ in(X4,X3)
| ~ in(X4,powerset(X2))
| ! [X5] :
( X4 != X5
| ! [X6] :
( ~ relstr_set_smaller(X0,X5,X6)
| ~ element(X6,the_carrier(X0))
| ~ in(X6,X1) ) ) )
& ( in(X4,X3)
| ( in(X4,powerset(X2))
& ? [X5] :
( X4 = X5
& ? [X6] :
( relstr_set_smaller(X0,X5,X6)
& element(X6,the_carrier(X0))
& in(X6,X1) ) ) ) ) )
& transitive_relstr(X0)
& element(X2,powerset(X1))
& ~ empty_carrier(X0) ),
inference(flattening,[],[f55]) ).
fof(f55,plain,
? [X0,X1,X2] :
( element(X1,powerset(the_carrier(X0)))
& finite(X2)
& rel_str(X0)
& ! [X3] :
? [X4] :
( ( ~ in(X4,X3)
| ~ in(X4,powerset(X2))
| ! [X5] :
( X4 != X5
| ! [X6] :
( ~ relstr_set_smaller(X0,X5,X6)
| ~ element(X6,the_carrier(X0))
| ~ in(X6,X1) ) ) )
& ( in(X4,X3)
| ( in(X4,powerset(X2))
& ? [X5] :
( X4 = X5
& ? [X6] :
( relstr_set_smaller(X0,X5,X6)
& element(X6,the_carrier(X0))
& in(X6,X1) ) ) ) ) )
& transitive_relstr(X0)
& element(X2,powerset(X1))
& ~ empty_carrier(X0) ),
inference(nnf_transformation,[],[f30]) ).
fof(f30,plain,
? [X0,X1,X2] :
( element(X1,powerset(the_carrier(X0)))
& finite(X2)
& rel_str(X0)
& ! [X3] :
? [X4] :
( ( in(X4,powerset(X2))
& ? [X5] :
( X4 = X5
& ? [X6] :
( relstr_set_smaller(X0,X5,X6)
& element(X6,the_carrier(X0))
& in(X6,X1) ) ) )
<~> in(X4,X3) )
& transitive_relstr(X0)
& element(X2,powerset(X1))
& ~ empty_carrier(X0) ),
inference(flattening,[],[f29]) ).
fof(f29,plain,
? [X0,X2,X1] :
( ! [X3] :
? [X4] :
( ( in(X4,powerset(X2))
& ? [X5] :
( X4 = X5
& ? [X6] :
( relstr_set_smaller(X0,X5,X6)
& element(X6,the_carrier(X0))
& in(X6,X1) ) ) )
<~> in(X4,X3) )
& element(X2,powerset(X1))
& rel_str(X0)
& ~ empty_carrier(X0)
& finite(X2)
& element(X1,powerset(the_carrier(X0)))
& transitive_relstr(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0,X2,X1] :
( ( element(X2,powerset(X1))
& rel_str(X0)
& ~ empty_carrier(X0)
& finite(X2)
& element(X1,powerset(the_carrier(X0)))
& transitive_relstr(X0) )
=> ? [X3] :
! [X4] :
( in(X4,X3)
<=> ( in(X4,powerset(X2))
& ? [X5] :
( X4 = X5
& ? [X6] :
( relstr_set_smaller(X0,X5,X6)
& element(X6,the_carrier(X0))
& in(X6,X1) ) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0,X2,X1] :
( ( element(X2,powerset(X1))
& rel_str(X0)
& ~ empty_carrier(X0)
& finite(X2)
& element(X1,powerset(the_carrier(X0)))
& transitive_relstr(X0) )
=> ? [X3] :
! [X4] :
( in(X4,X3)
<=> ( in(X4,powerset(X2))
& ? [X5] :
( X4 = X5
& ? [X6] :
( relstr_set_smaller(X0,X5,X6)
& element(X6,the_carrier(X0))
& in(X6,X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_xboole_0__e11_2_1__waybel_0__1) ).
fof(f390,plain,
! [X0] :
( ~ finite(sK10)
| in(sK11(X0),sK21(sK9,sK8,sK10))
| in(sK11(X0),X0) ),
inference(subsumption_resolution,[],[f389,f103]) ).
fof(f103,plain,
element(sK10,powerset(sK9)),
inference(cnf_transformation,[],[f62]) ).
fof(f389,plain,
! [X0] :
( in(sK11(X0),sK21(sK9,sK8,sK10))
| ~ element(sK10,powerset(sK9))
| ~ finite(sK10)
| in(sK11(X0),X0) ),
inference(duplicate_literal_removal,[],[f378]) ).
fof(f378,plain,
! [X0] :
( in(sK11(X0),sK21(sK9,sK8,sK10))
| in(sK11(X0),X0)
| ~ finite(sK10)
| in(sK11(X0),X0)
| ~ element(sK10,powerset(sK9)) ),
inference(resolution,[],[f377,f109]) ).
fof(f109,plain,
! [X3] :
( in(sK11(X3),X3)
| in(sK11(X3),powerset(sK10)) ),
inference(cnf_transformation,[],[f62]) ).
fof(f377,plain,
! [X0,X1] :
( ~ in(sK11(X0),powerset(X1))
| ~ element(X1,powerset(sK9))
| ~ finite(X1)
| in(sK11(X0),sK21(sK9,sK8,X1))
| in(sK11(X0),X0) ),
inference(subsumption_resolution,[],[f376,f106]) ).
fof(f106,plain,
! [X3] :
( element(sK13(X3),the_carrier(sK8))
| in(sK11(X3),X3) ),
inference(cnf_transformation,[],[f62]) ).
fof(f376,plain,
! [X0,X1] :
( ~ finite(X1)
| in(sK11(X0),sK21(sK9,sK8,X1))
| in(sK11(X0),X0)
| ~ element(X1,powerset(sK9))
| ~ element(sK13(X0),the_carrier(sK8))
| ~ in(sK11(X0),powerset(X1)) ),
inference(subsumption_resolution,[],[f375,f105]) ).
fof(f105,plain,
! [X3] :
( in(sK11(X3),X3)
| in(sK13(X3),sK9) ),
inference(cnf_transformation,[],[f62]) ).
fof(f375,plain,
! [X0,X1] :
( in(sK11(X0),X0)
| in(sK11(X0),sK21(sK9,sK8,X1))
| ~ element(sK13(X0),the_carrier(sK8))
| ~ finite(X1)
| ~ in(sK13(X0),sK9)
| ~ element(X1,powerset(sK9))
| ~ in(sK11(X0),powerset(X1)) ),
inference(resolution,[],[f368,f150]) ).
fof(f150,plain,
! [X3] :
( relstr_set_smaller(sK8,sK11(X3),sK13(X3))
| in(sK11(X3),X3) ),
inference(forward_subsumption_demodulation,[],[f107,f108]) ).
fof(f108,plain,
! [X3] :
( in(sK11(X3),X3)
| sK11(X3) = sK12(X3) ),
inference(cnf_transformation,[],[f62]) ).
fof(f107,plain,
! [X3] :
( relstr_set_smaller(sK8,sK12(X3),sK13(X3))
| in(sK11(X3),X3) ),
inference(cnf_transformation,[],[f62]) ).
fof(f368,plain,
! [X14,X12,X13] :
( ~ relstr_set_smaller(sK8,X12,X13)
| ~ in(X13,sK9)
| in(X12,sK21(sK9,sK8,X14))
| ~ finite(X14)
| ~ element(X13,the_carrier(sK8))
| ~ element(X14,powerset(sK9))
| ~ in(X12,powerset(X14)) ),
inference(subsumption_resolution,[],[f367,f149]) ).
fof(f149,plain,
! [X0,X1] : ~ sP1(X0,X1),
inference(subsumption_resolution,[],[f120,f146]) ).
fof(f146,plain,
! [X0,X1] :
( sK14(X0,X1) != sK16(X0,X1)
| ~ sP1(X0,X1) ),
inference(forward_subsumption_demodulation,[],[f119,f121]) ).
fof(f121,plain,
! [X0,X1] :
( ~ sP1(X0,X1)
| sK14(X0,X1) = sK15(X0,X1) ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0,X1] :
( ( sK14(X0,X1) = sK15(X0,X1)
& sK14(X0,X1) = sK16(X0,X1)
& sK16(X0,X1) != sK15(X0,X1)
& relstr_set_smaller(X0,sK17(X0,X1),sK18(X0,X1))
& in(sK18(X0,X1),X1)
& element(sK18(X0,X1),the_carrier(X0))
& sK15(X0,X1) = sK17(X0,X1)
& sP0(sK16(X0,X1),X1,X0) )
| ~ sP1(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14,sK15,sK16,sK17,sK18])],[f64,f67,f66,f65]) ).
fof(f65,plain,
! [X0,X1] :
( ? [X2,X3,X4] :
( X2 = X3
& X2 = X4
& X3 != X4
& ? [X5] :
( ? [X6] :
( relstr_set_smaller(X0,X5,X6)
& in(X6,X1)
& element(X6,the_carrier(X0)) )
& X3 = X5 )
& sP0(X4,X1,X0) )
=> ( sK14(X0,X1) = sK15(X0,X1)
& sK14(X0,X1) = sK16(X0,X1)
& sK16(X0,X1) != sK15(X0,X1)
& ? [X5] :
( ? [X6] :
( relstr_set_smaller(X0,X5,X6)
& in(X6,X1)
& element(X6,the_carrier(X0)) )
& sK15(X0,X1) = X5 )
& sP0(sK16(X0,X1),X1,X0) ) ),
introduced(choice_axiom,[]) ).
fof(f66,plain,
! [X0,X1] :
( ? [X5] :
( ? [X6] :
( relstr_set_smaller(X0,X5,X6)
& in(X6,X1)
& element(X6,the_carrier(X0)) )
& sK15(X0,X1) = X5 )
=> ( ? [X6] :
( relstr_set_smaller(X0,sK17(X0,X1),X6)
& in(X6,X1)
& element(X6,the_carrier(X0)) )
& sK15(X0,X1) = sK17(X0,X1) ) ),
introduced(choice_axiom,[]) ).
fof(f67,plain,
! [X0,X1] :
( ? [X6] :
( relstr_set_smaller(X0,sK17(X0,X1),X6)
& in(X6,X1)
& element(X6,the_carrier(X0)) )
=> ( relstr_set_smaller(X0,sK17(X0,X1),sK18(X0,X1))
& in(sK18(X0,X1),X1)
& element(sK18(X0,X1),the_carrier(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f64,plain,
! [X0,X1] :
( ? [X2,X3,X4] :
( X2 = X3
& X2 = X4
& X3 != X4
& ? [X5] :
( ? [X6] :
( relstr_set_smaller(X0,X5,X6)
& in(X6,X1)
& element(X6,the_carrier(X0)) )
& X3 = X5 )
& sP0(X4,X1,X0) )
| ~ sP1(X0,X1) ),
inference(rectify,[],[f63]) ).
fof(f63,plain,
! [X0,X2] :
( ? [X5,X4,X3] :
( X4 = X5
& X3 = X5
& X3 != X4
& ? [X6] :
( ? [X7] :
( relstr_set_smaller(X0,X6,X7)
& in(X7,X2)
& element(X7,the_carrier(X0)) )
& X4 = X6 )
& sP0(X3,X2,X0) )
| ~ sP1(X0,X2) ),
inference(nnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0,X2] :
( ? [X5,X4,X3] :
( X4 = X5
& X3 = X5
& X3 != X4
& ? [X6] :
( ? [X7] :
( relstr_set_smaller(X0,X6,X7)
& in(X7,X2)
& element(X7,the_carrier(X0)) )
& X4 = X6 )
& sP0(X3,X2,X0) )
| ~ sP1(X0,X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f119,plain,
! [X0,X1] :
( sK16(X0,X1) != sK15(X0,X1)
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f68]) ).
fof(f120,plain,
! [X0,X1] :
( sK14(X0,X1) = sK16(X0,X1)
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f68]) ).
fof(f367,plain,
! [X14,X12,X13] :
( ~ relstr_set_smaller(sK8,X12,X13)
| ~ finite(X14)
| ~ in(X12,powerset(X14))
| ~ element(X13,the_carrier(sK8))
| ~ in(X13,sK9)
| ~ element(X14,powerset(sK9))
| sP1(sK8,sK9)
| in(X12,sK21(sK9,sK8,X14)) ),
inference(subsumption_resolution,[],[f366,f111]) ).
fof(f111,plain,
rel_str(sK8),
inference(cnf_transformation,[],[f62]) ).
fof(f366,plain,
! [X14,X12,X13] :
( ~ rel_str(sK8)
| ~ relstr_set_smaller(sK8,X12,X13)
| ~ element(X14,powerset(sK9))
| sP1(sK8,sK9)
| ~ finite(X14)
| ~ in(X13,sK9)
| ~ element(X13,the_carrier(sK8))
| in(X12,sK21(sK9,sK8,X14))
| ~ in(X12,powerset(X14)) ),
inference(subsumption_resolution,[],[f365,f104]) ).
fof(f104,plain,
transitive_relstr(sK8),
inference(cnf_transformation,[],[f62]) ).
fof(f365,plain,
! [X14,X12,X13] :
( ~ transitive_relstr(sK8)
| sP1(sK8,sK9)
| ~ element(X13,the_carrier(sK8))
| ~ finite(X14)
| in(X12,sK21(sK9,sK8,X14))
| ~ in(X12,powerset(X14))
| ~ in(X13,sK9)
| ~ relstr_set_smaller(sK8,X12,X13)
| ~ rel_str(sK8)
| ~ element(X14,powerset(sK9)) ),
inference(subsumption_resolution,[],[f361,f102]) ).
fof(f102,plain,
~ empty_carrier(sK8),
inference(cnf_transformation,[],[f62]) ).
fof(f361,plain,
! [X14,X12,X13] :
( ~ finite(X14)
| empty_carrier(sK8)
| ~ relstr_set_smaller(sK8,X12,X13)
| ~ element(X13,the_carrier(sK8))
| ~ transitive_relstr(sK8)
| ~ in(X13,sK9)
| in(X12,sK21(sK9,sK8,X14))
| ~ rel_str(sK8)
| sP1(sK8,sK9)
| ~ in(X12,powerset(X14))
| ~ element(X14,powerset(sK9)) ),
inference(resolution,[],[f145,f113]) ).
fof(f113,plain,
element(sK9,powerset(the_carrier(sK8))),
inference(cnf_transformation,[],[f62]) ).
fof(f145,plain,
! [X2,X10,X0,X1,X9] :
( ~ element(X0,powerset(the_carrier(X1)))
| ~ relstr_set_smaller(X1,X9,X10)
| ~ transitive_relstr(X1)
| ~ finite(X2)
| empty_carrier(X1)
| ~ in(X10,X0)
| ~ rel_str(X1)
| ~ element(X10,the_carrier(X1))
| ~ element(X2,powerset(X0))
| sP1(X1,X0)
| ~ in(X9,powerset(X2))
| in(X9,sK21(X0,X1,X2)) ),
inference(equality_resolution,[],[f144]) ).
fof(f144,plain,
! [X2,X10,X0,X1,X8,X9] :
( ~ element(X0,powerset(the_carrier(X1)))
| ~ rel_str(X1)
| empty_carrier(X1)
| ~ element(X2,powerset(X0))
| ~ finite(X2)
| in(X9,sK21(X0,X1,X2))
| ~ relstr_set_smaller(X1,X9,X10)
| ~ element(X10,the_carrier(X1))
| ~ in(X10,X0)
| ~ in(X8,powerset(X2))
| X8 != X9
| ~ transitive_relstr(X1)
| sP1(X1,X0) ),
inference(equality_resolution,[],[f126]) ).
fof(f126,plain,
! [X2,X10,X0,X1,X8,X9,X4] :
( ~ element(X0,powerset(the_carrier(X1)))
| ~ rel_str(X1)
| empty_carrier(X1)
| ~ element(X2,powerset(X0))
| ~ finite(X2)
| in(X4,sK21(X0,X1,X2))
| ~ relstr_set_smaller(X1,X9,X10)
| ~ element(X10,the_carrier(X1))
| ~ in(X10,X0)
| X4 != X9
| ~ in(X8,powerset(X2))
| X4 != X8
| ~ transitive_relstr(X1)
| sP1(X1,X0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
! [X0,X1,X2] :
( ~ element(X0,powerset(the_carrier(X1)))
| ~ rel_str(X1)
| empty_carrier(X1)
| ~ element(X2,powerset(X0))
| ~ finite(X2)
| ! [X4] :
( ( ( relstr_set_smaller(X1,sK23(X0,X1,X4),sK24(X0,X1,X4))
& element(sK24(X0,X1,X4),the_carrier(X1))
& in(sK24(X0,X1,X4),X0)
& sK23(X0,X1,X4) = X4
& in(sK22(X0,X1,X2,X4),powerset(X2))
& sK22(X0,X1,X2,X4) = X4 )
| ~ in(X4,sK21(X0,X1,X2)) )
& ( in(X4,sK21(X0,X1,X2))
| ! [X8] :
( ! [X9] :
( ! [X10] :
( ~ relstr_set_smaller(X1,X9,X10)
| ~ element(X10,the_carrier(X1))
| ~ in(X10,X0) )
| X4 != X9 )
| ~ in(X8,powerset(X2))
| X4 != X8 ) ) )
| ~ transitive_relstr(X1)
| sP1(X1,X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK21,sK22,sK23,sK24])],[f75,f79,f78,f77,f76]) ).
fof(f76,plain,
! [X0,X1,X2] :
( ? [X3] :
! [X4] :
( ( ? [X5] :
( ? [X6] :
( ? [X7] :
( relstr_set_smaller(X1,X6,X7)
& element(X7,the_carrier(X1))
& in(X7,X0) )
& X4 = X6 )
& in(X5,powerset(X2))
& X4 = X5 )
| ~ in(X4,X3) )
& ( in(X4,X3)
| ! [X8] :
( ! [X9] :
( ! [X10] :
( ~ relstr_set_smaller(X1,X9,X10)
| ~ element(X10,the_carrier(X1))
| ~ in(X10,X0) )
| X4 != X9 )
| ~ in(X8,powerset(X2))
| X4 != X8 ) ) )
=> ! [X4] :
( ( ? [X5] :
( ? [X6] :
( ? [X7] :
( relstr_set_smaller(X1,X6,X7)
& element(X7,the_carrier(X1))
& in(X7,X0) )
& X4 = X6 )
& in(X5,powerset(X2))
& X4 = X5 )
| ~ in(X4,sK21(X0,X1,X2)) )
& ( in(X4,sK21(X0,X1,X2))
| ! [X8] :
( ! [X9] :
( ! [X10] :
( ~ relstr_set_smaller(X1,X9,X10)
| ~ element(X10,the_carrier(X1))
| ~ in(X10,X0) )
| X4 != X9 )
| ~ in(X8,powerset(X2))
| X4 != X8 ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f77,plain,
! [X0,X1,X2,X4] :
( ? [X5] :
( ? [X6] :
( ? [X7] :
( relstr_set_smaller(X1,X6,X7)
& element(X7,the_carrier(X1))
& in(X7,X0) )
& X4 = X6 )
& in(X5,powerset(X2))
& X4 = X5 )
=> ( ? [X6] :
( ? [X7] :
( relstr_set_smaller(X1,X6,X7)
& element(X7,the_carrier(X1))
& in(X7,X0) )
& X4 = X6 )
& in(sK22(X0,X1,X2,X4),powerset(X2))
& sK22(X0,X1,X2,X4) = X4 ) ),
introduced(choice_axiom,[]) ).
fof(f78,plain,
! [X0,X1,X4] :
( ? [X6] :
( ? [X7] :
( relstr_set_smaller(X1,X6,X7)
& element(X7,the_carrier(X1))
& in(X7,X0) )
& X4 = X6 )
=> ( ? [X7] :
( relstr_set_smaller(X1,sK23(X0,X1,X4),X7)
& element(X7,the_carrier(X1))
& in(X7,X0) )
& sK23(X0,X1,X4) = X4 ) ),
introduced(choice_axiom,[]) ).
fof(f79,plain,
! [X0,X1,X4] :
( ? [X7] :
( relstr_set_smaller(X1,sK23(X0,X1,X4),X7)
& element(X7,the_carrier(X1))
& in(X7,X0) )
=> ( relstr_set_smaller(X1,sK23(X0,X1,X4),sK24(X0,X1,X4))
& element(sK24(X0,X1,X4),the_carrier(X1))
& in(sK24(X0,X1,X4),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f75,plain,
! [X0,X1,X2] :
( ~ element(X0,powerset(the_carrier(X1)))
| ~ rel_str(X1)
| empty_carrier(X1)
| ~ element(X2,powerset(X0))
| ~ finite(X2)
| ? [X3] :
! [X4] :
( ( ? [X5] :
( ? [X6] :
( ? [X7] :
( relstr_set_smaller(X1,X6,X7)
& element(X7,the_carrier(X1))
& in(X7,X0) )
& X4 = X6 )
& in(X5,powerset(X2))
& X4 = X5 )
| ~ in(X4,X3) )
& ( in(X4,X3)
| ! [X8] :
( ! [X9] :
( ! [X10] :
( ~ relstr_set_smaller(X1,X9,X10)
| ~ element(X10,the_carrier(X1))
| ~ in(X10,X0) )
| X4 != X9 )
| ~ in(X8,powerset(X2))
| X4 != X8 ) ) )
| ~ transitive_relstr(X1)
| sP1(X1,X0) ),
inference(rectify,[],[f74]) ).
fof(f74,plain,
! [X2,X0,X1] :
( ~ element(X2,powerset(the_carrier(X0)))
| ~ rel_str(X0)
| empty_carrier(X0)
| ~ element(X1,powerset(X2))
| ~ finite(X1)
| ? [X10] :
! [X11] :
( ( ? [X12] :
( ? [X13] :
( ? [X14] :
( relstr_set_smaller(X0,X13,X14)
& element(X14,the_carrier(X0))
& in(X14,X2) )
& X11 = X13 )
& in(X12,powerset(X1))
& X11 = X12 )
| ~ in(X11,X10) )
& ( in(X11,X10)
| ! [X12] :
( ! [X13] :
( ! [X14] :
( ~ relstr_set_smaller(X0,X13,X14)
| ~ element(X14,the_carrier(X0))
| ~ in(X14,X2) )
| X11 != X13 )
| ~ in(X12,powerset(X1))
| X11 != X12 ) ) )
| ~ transitive_relstr(X0)
| sP1(X0,X2) ),
inference(nnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X2,X0,X1] :
( ~ element(X2,powerset(the_carrier(X0)))
| ~ rel_str(X0)
| empty_carrier(X0)
| ~ element(X1,powerset(X2))
| ~ finite(X1)
| ? [X10] :
! [X11] :
( ? [X12] :
( ? [X13] :
( ? [X14] :
( relstr_set_smaller(X0,X13,X14)
& element(X14,the_carrier(X0))
& in(X14,X2) )
& X11 = X13 )
& in(X12,powerset(X1))
& X11 = X12 )
<=> in(X11,X10) )
| ~ transitive_relstr(X0)
| sP1(X0,X2) ),
inference(definition_folding,[],[f39,f41,f40]) ).
fof(f40,plain,
! [X3,X2,X0] :
( ? [X8] :
( X3 = X8
& ? [X9] :
( in(X9,X2)
& element(X9,the_carrier(X0))
& relstr_set_smaller(X0,X8,X9) ) )
| ~ sP0(X3,X2,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f39,plain,
! [X2,X0,X1] :
( ~ element(X2,powerset(the_carrier(X0)))
| ~ rel_str(X0)
| empty_carrier(X0)
| ~ element(X1,powerset(X2))
| ~ finite(X1)
| ? [X10] :
! [X11] :
( ? [X12] :
( ? [X13] :
( ? [X14] :
( relstr_set_smaller(X0,X13,X14)
& element(X14,the_carrier(X0))
& in(X14,X2) )
& X11 = X13 )
& in(X12,powerset(X1))
& X11 = X12 )
<=> in(X11,X10) )
| ~ transitive_relstr(X0)
| ? [X5,X4,X3] :
( X4 = X5
& X3 = X5
& X3 != X4
& ? [X6] :
( ? [X7] :
( relstr_set_smaller(X0,X6,X7)
& in(X7,X2)
& element(X7,the_carrier(X0)) )
& X4 = X6 )
& ? [X8] :
( X3 = X8
& ? [X9] :
( in(X9,X2)
& element(X9,the_carrier(X0))
& relstr_set_smaller(X0,X8,X9) ) ) ) ),
inference(flattening,[],[f38]) ).
fof(f38,plain,
! [X0,X1,X2] :
( ? [X10] :
! [X11] :
( ? [X12] :
( ? [X13] :
( ? [X14] :
( relstr_set_smaller(X0,X13,X14)
& element(X14,the_carrier(X0))
& in(X14,X2) )
& X11 = X13 )
& in(X12,powerset(X1))
& X11 = X12 )
<=> in(X11,X10) )
| ? [X4,X3,X5] :
( X3 != X4
& X4 = X5
& X3 = X5
& ? [X8] :
( X3 = X8
& ? [X9] :
( in(X9,X2)
& element(X9,the_carrier(X0))
& relstr_set_smaller(X0,X8,X9) ) )
& ? [X6] :
( ? [X7] :
( relstr_set_smaller(X0,X6,X7)
& in(X7,X2)
& element(X7,the_carrier(X0)) )
& X4 = X6 ) )
| empty_carrier(X0)
| ~ element(X2,powerset(the_carrier(X0)))
| ~ rel_str(X0)
| ~ element(X1,powerset(X2))
| ~ finite(X1)
| ~ transitive_relstr(X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0,X1,X2] :
( ( ~ empty_carrier(X0)
& element(X2,powerset(the_carrier(X0)))
& rel_str(X0)
& element(X1,powerset(X2))
& finite(X1)
& transitive_relstr(X0) )
=> ( ! [X4,X3,X5] :
( ( X4 = X5
& X3 = X5
& ? [X8] :
( X3 = X8
& ? [X9] :
( in(X9,X2)
& element(X9,the_carrier(X0))
& relstr_set_smaller(X0,X8,X9) ) )
& ? [X6] :
( ? [X7] :
( relstr_set_smaller(X0,X6,X7)
& in(X7,X2)
& element(X7,the_carrier(X0)) )
& X4 = X6 ) )
=> X3 = X4 )
=> ? [X10] :
! [X11] :
( ? [X12] :
( ? [X13] :
( ? [X14] :
( relstr_set_smaller(X0,X13,X14)
& element(X14,the_carrier(X0))
& in(X14,X2) )
& X11 = X13 )
& in(X12,powerset(X1))
& X11 = X12 )
<=> in(X11,X10) ) ) ),
inference(rectify,[],[f22]) ).
fof(f22,axiom,
! [X0,X2,X1] :
( ( rel_str(X0)
& finite(X2)
& element(X2,powerset(X1))
& ~ empty_carrier(X0)
& element(X1,powerset(the_carrier(X0)))
& transitive_relstr(X0) )
=> ( ! [X4,X5,X3] :
( ( ? [X8] :
( ? [X9] :
( relstr_set_smaller(X0,X8,X9)
& in(X9,X1)
& element(X9,the_carrier(X0)) )
& X5 = X8 )
& ? [X6] :
( X4 = X6
& ? [X7] :
( relstr_set_smaller(X0,X6,X7)
& element(X7,the_carrier(X0))
& in(X7,X1) ) )
& X3 = X5
& X3 = X4 )
=> X4 = X5 )
=> ? [X3] :
! [X4] :
( ? [X5] :
( X4 = X5
& ? [X10] :
( ? [X11] :
( element(X11,the_carrier(X0))
& relstr_set_smaller(X0,X10,X11)
& in(X11,X1) )
& X4 = X10 )
& in(X5,powerset(X2)) )
<=> in(X4,X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_tarski__e11_2_1__waybel_0__1) ).
fof(f698,plain,
( ~ in(sK11(sK21(sK9,sK8,sK10)),sK21(sK9,sK8,sK10))
| ~ spl28_11 ),
inference(subsumption_resolution,[],[f697,f246]) ).
fof(f246,plain,
( in(sK11(sK21(sK9,sK8,sK10)),powerset(sK10))
| ~ spl28_11 ),
inference(avatar_component_clause,[],[f244]) ).
fof(f244,plain,
( spl28_11
<=> in(sK11(sK21(sK9,sK8,sK10)),powerset(sK10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_11])]) ).
fof(f697,plain,
( ~ in(sK11(sK21(sK9,sK8,sK10)),powerset(sK10))
| ~ in(sK11(sK21(sK9,sK8,sK10)),sK21(sK9,sK8,sK10)) ),
inference(subsumption_resolution,[],[f696,f524]) ).
fof(f524,plain,
element(sK24(sK9,sK8,sK11(sK21(sK9,sK8,sK10))),the_carrier(sK8)),
inference(subsumption_resolution,[],[f523,f104]) ).
fof(f523,plain,
( ~ transitive_relstr(sK8)
| element(sK24(sK9,sK8,sK11(sK21(sK9,sK8,sK10))),the_carrier(sK8)) ),
inference(subsumption_resolution,[],[f522,f102]) ).
fof(f522,plain,
( element(sK24(sK9,sK8,sK11(sK21(sK9,sK8,sK10))),the_carrier(sK8))
| empty_carrier(sK8)
| ~ transitive_relstr(sK8) ),
inference(subsumption_resolution,[],[f521,f112]) ).
fof(f521,plain,
( ~ finite(sK10)
| empty_carrier(sK8)
| element(sK24(sK9,sK8,sK11(sK21(sK9,sK8,sK10))),the_carrier(sK8))
| ~ transitive_relstr(sK8) ),
inference(subsumption_resolution,[],[f520,f113]) ).
fof(f520,plain,
( ~ element(sK9,powerset(the_carrier(sK8)))
| element(sK24(sK9,sK8,sK11(sK21(sK9,sK8,sK10))),the_carrier(sK8))
| empty_carrier(sK8)
| ~ finite(sK10)
| ~ transitive_relstr(sK8) ),
inference(subsumption_resolution,[],[f519,f111]) ).
fof(f519,plain,
( ~ rel_str(sK8)
| empty_carrier(sK8)
| ~ finite(sK10)
| ~ element(sK9,powerset(the_carrier(sK8)))
| ~ transitive_relstr(sK8)
| element(sK24(sK9,sK8,sK11(sK21(sK9,sK8,sK10))),the_carrier(sK8)) ),
inference(subsumption_resolution,[],[f515,f103]) ).
fof(f515,plain,
( ~ element(sK10,powerset(sK9))
| ~ element(sK9,powerset(the_carrier(sK8)))
| ~ transitive_relstr(sK8)
| empty_carrier(sK8)
| element(sK24(sK9,sK8,sK11(sK21(sK9,sK8,sK10))),the_carrier(sK8))
| ~ finite(sK10)
| ~ rel_str(sK8) ),
inference(resolution,[],[f475,f154]) ).
fof(f154,plain,
! [X2,X0,X1,X4] :
( ~ in(X4,sK21(X0,X1,X2))
| ~ rel_str(X1)
| ~ transitive_relstr(X1)
| empty_carrier(X1)
| ~ element(X0,powerset(the_carrier(X1)))
| element(sK24(X0,X1,X4),the_carrier(X1))
| ~ element(X2,powerset(X0))
| ~ finite(X2) ),
inference(subsumption_resolution,[],[f131,f149]) ).
fof(f131,plain,
! [X2,X0,X1,X4] :
( ~ element(X0,powerset(the_carrier(X1)))
| empty_carrier(X1)
| ~ in(X4,sK21(X0,X1,X2))
| ~ element(X2,powerset(X0))
| ~ transitive_relstr(X1)
| element(sK24(X0,X1,X4),the_carrier(X1))
| ~ rel_str(X1)
| sP1(X1,X0)
| ~ finite(X2) ),
inference(cnf_transformation,[],[f80]) ).
fof(f696,plain,
( ~ element(sK24(sK9,sK8,sK11(sK21(sK9,sK8,sK10))),the_carrier(sK8))
| ~ in(sK11(sK21(sK9,sK8,sK10)),sK21(sK9,sK8,sK10))
| ~ in(sK11(sK21(sK9,sK8,sK10)),powerset(sK10)) ),
inference(subsumption_resolution,[],[f692,f558]) ).
fof(f558,plain,
in(sK24(sK9,sK8,sK11(sK21(sK9,sK8,sK10))),sK9),
inference(subsumption_resolution,[],[f557,f103]) ).
fof(f557,plain,
( in(sK24(sK9,sK8,sK11(sK21(sK9,sK8,sK10))),sK9)
| ~ element(sK10,powerset(sK9)) ),
inference(subsumption_resolution,[],[f556,f111]) ).
fof(f556,plain,
( ~ rel_str(sK8)
| in(sK24(sK9,sK8,sK11(sK21(sK9,sK8,sK10))),sK9)
| ~ element(sK10,powerset(sK9)) ),
inference(subsumption_resolution,[],[f555,f102]) ).
fof(f555,plain,
( empty_carrier(sK8)
| ~ element(sK10,powerset(sK9))
| in(sK24(sK9,sK8,sK11(sK21(sK9,sK8,sK10))),sK9)
| ~ rel_str(sK8) ),
inference(subsumption_resolution,[],[f554,f112]) ).
fof(f554,plain,
( ~ finite(sK10)
| ~ element(sK10,powerset(sK9))
| ~ rel_str(sK8)
| in(sK24(sK9,sK8,sK11(sK21(sK9,sK8,sK10))),sK9)
| empty_carrier(sK8) ),
inference(subsumption_resolution,[],[f553,f104]) ).
fof(f553,plain,
( in(sK24(sK9,sK8,sK11(sK21(sK9,sK8,sK10))),sK9)
| ~ transitive_relstr(sK8)
| ~ element(sK10,powerset(sK9))
| ~ rel_str(sK8)
| ~ finite(sK10)
| empty_carrier(sK8) ),
inference(subsumption_resolution,[],[f552,f113]) ).
fof(f552,plain,
( ~ element(sK9,powerset(the_carrier(sK8)))
| empty_carrier(sK8)
| in(sK24(sK9,sK8,sK11(sK21(sK9,sK8,sK10))),sK9)
| ~ transitive_relstr(sK8)
| ~ rel_str(sK8)
| ~ finite(sK10)
| ~ element(sK10,powerset(sK9)) ),
inference(subsumption_resolution,[],[f513,f149]) ).
fof(f513,plain,
( sP1(sK8,sK9)
| empty_carrier(sK8)
| ~ element(sK9,powerset(the_carrier(sK8)))
| ~ rel_str(sK8)
| ~ element(sK10,powerset(sK9))
| ~ transitive_relstr(sK8)
| ~ finite(sK10)
| in(sK24(sK9,sK8,sK11(sK21(sK9,sK8,sK10))),sK9) ),
inference(resolution,[],[f475,f130]) ).
fof(f130,plain,
! [X2,X0,X1,X4] :
( ~ in(X4,sK21(X0,X1,X2))
| sP1(X1,X0)
| ~ transitive_relstr(X1)
| ~ element(X2,powerset(X0))
| ~ rel_str(X1)
| in(sK24(X0,X1,X4),X0)
| empty_carrier(X1)
| ~ finite(X2)
| ~ element(X0,powerset(the_carrier(X1))) ),
inference(cnf_transformation,[],[f80]) ).
fof(f692,plain,
( ~ in(sK24(sK9,sK8,sK11(sK21(sK9,sK8,sK10))),sK9)
| ~ element(sK24(sK9,sK8,sK11(sK21(sK9,sK8,sK10))),the_carrier(sK8))
| ~ in(sK11(sK21(sK9,sK8,sK10)),powerset(sK10))
| ~ in(sK11(sK21(sK9,sK8,sK10)),sK21(sK9,sK8,sK10)) ),
inference(resolution,[],[f544,f143]) ).
fof(f143,plain,
! [X3,X6] :
( ~ relstr_set_smaller(sK8,sK11(X3),X6)
| ~ in(sK11(X3),powerset(sK10))
| ~ element(X6,the_carrier(sK8))
| ~ in(X6,sK9)
| ~ in(sK11(X3),X3) ),
inference(equality_resolution,[],[f110]) ).
fof(f110,plain,
! [X3,X6,X5] :
( ~ in(sK11(X3),X3)
| ~ in(sK11(X3),powerset(sK10))
| sK11(X3) != X5
| ~ relstr_set_smaller(sK8,X5,X6)
| ~ element(X6,the_carrier(sK8))
| ~ in(X6,sK9) ),
inference(cnf_transformation,[],[f62]) ).
fof(f544,plain,
relstr_set_smaller(sK8,sK11(sK21(sK9,sK8,sK10)),sK24(sK9,sK8,sK11(sK21(sK9,sK8,sK10)))),
inference(subsumption_resolution,[],[f543,f102]) ).
fof(f543,plain,
( empty_carrier(sK8)
| relstr_set_smaller(sK8,sK11(sK21(sK9,sK8,sK10)),sK24(sK9,sK8,sK11(sK21(sK9,sK8,sK10)))) ),
inference(subsumption_resolution,[],[f542,f113]) ).
fof(f542,plain,
( ~ element(sK9,powerset(the_carrier(sK8)))
| empty_carrier(sK8)
| relstr_set_smaller(sK8,sK11(sK21(sK9,sK8,sK10)),sK24(sK9,sK8,sK11(sK21(sK9,sK8,sK10)))) ),
inference(subsumption_resolution,[],[f541,f112]) ).
fof(f541,plain,
( ~ finite(sK10)
| empty_carrier(sK8)
| relstr_set_smaller(sK8,sK11(sK21(sK9,sK8,sK10)),sK24(sK9,sK8,sK11(sK21(sK9,sK8,sK10))))
| ~ element(sK9,powerset(the_carrier(sK8))) ),
inference(subsumption_resolution,[],[f540,f104]) ).
fof(f540,plain,
( ~ transitive_relstr(sK8)
| empty_carrier(sK8)
| relstr_set_smaller(sK8,sK11(sK21(sK9,sK8,sK10)),sK24(sK9,sK8,sK11(sK21(sK9,sK8,sK10))))
| ~ element(sK9,powerset(the_carrier(sK8)))
| ~ finite(sK10) ),
inference(subsumption_resolution,[],[f539,f103]) ).
fof(f539,plain,
( ~ element(sK10,powerset(sK9))
| empty_carrier(sK8)
| ~ transitive_relstr(sK8)
| ~ finite(sK10)
| ~ element(sK9,powerset(the_carrier(sK8)))
| relstr_set_smaller(sK8,sK11(sK21(sK9,sK8,sK10)),sK24(sK9,sK8,sK11(sK21(sK9,sK8,sK10)))) ),
inference(subsumption_resolution,[],[f538,f149]) ).
fof(f538,plain,
( sP1(sK8,sK9)
| empty_carrier(sK8)
| ~ element(sK10,powerset(sK9))
| ~ transitive_relstr(sK8)
| ~ element(sK9,powerset(the_carrier(sK8)))
| ~ finite(sK10)
| relstr_set_smaller(sK8,sK11(sK21(sK9,sK8,sK10)),sK24(sK9,sK8,sK11(sK21(sK9,sK8,sK10)))) ),
inference(subsumption_resolution,[],[f512,f111]) ).
fof(f512,plain,
( relstr_set_smaller(sK8,sK11(sK21(sK9,sK8,sK10)),sK24(sK9,sK8,sK11(sK21(sK9,sK8,sK10))))
| ~ rel_str(sK8)
| ~ element(sK10,powerset(sK9))
| ~ element(sK9,powerset(the_carrier(sK8)))
| empty_carrier(sK8)
| ~ finite(sK10)
| sP1(sK8,sK9)
| ~ transitive_relstr(sK8) ),
inference(resolution,[],[f475,f148]) ).
fof(f148,plain,
! [X2,X0,X1,X4] :
( ~ in(X4,sK21(X0,X1,X2))
| ~ element(X0,powerset(the_carrier(X1)))
| ~ element(X2,powerset(X0))
| empty_carrier(X1)
| ~ finite(X2)
| ~ rel_str(X1)
| relstr_set_smaller(X1,X4,sK24(X0,X1,X4))
| ~ transitive_relstr(X1)
| sP1(X1,X0) ),
inference(backward_subsumption_demodulation,[],[f132,f129]) ).
fof(f129,plain,
! [X2,X0,X1,X4] :
( ~ in(X4,sK21(X0,X1,X2))
| empty_carrier(X1)
| ~ finite(X2)
| ~ element(X2,powerset(X0))
| ~ element(X0,powerset(the_carrier(X1)))
| sP1(X1,X0)
| ~ transitive_relstr(X1)
| ~ rel_str(X1)
| sK23(X0,X1,X4) = X4 ),
inference(cnf_transformation,[],[f80]) ).
fof(f132,plain,
! [X2,X0,X1,X4] :
( ~ rel_str(X1)
| ~ element(X2,powerset(X0))
| ~ element(X0,powerset(the_carrier(X1)))
| empty_carrier(X1)
| relstr_set_smaller(X1,sK23(X0,X1,X4),sK24(X0,X1,X4))
| ~ transitive_relstr(X1)
| ~ in(X4,sK21(X0,X1,X2))
| ~ finite(X2)
| sP1(X1,X0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f551,plain,
spl28_11,
inference(avatar_split_clause,[],[f550,f244]) ).
fof(f550,plain,
in(sK11(sK21(sK9,sK8,sK10)),powerset(sK10)),
inference(subsumption_resolution,[],[f549,f112]) ).
fof(f549,plain,
( ~ finite(sK10)
| in(sK11(sK21(sK9,sK8,sK10)),powerset(sK10)) ),
inference(subsumption_resolution,[],[f548,f111]) ).
fof(f548,plain,
( ~ rel_str(sK8)
| in(sK11(sK21(sK9,sK8,sK10)),powerset(sK10))
| ~ finite(sK10) ),
inference(subsumption_resolution,[],[f547,f113]) ).
fof(f547,plain,
( ~ element(sK9,powerset(the_carrier(sK8)))
| ~ finite(sK10)
| ~ rel_str(sK8)
| in(sK11(sK21(sK9,sK8,sK10)),powerset(sK10)) ),
inference(subsumption_resolution,[],[f546,f104]) ).
fof(f546,plain,
( ~ transitive_relstr(sK8)
| in(sK11(sK21(sK9,sK8,sK10)),powerset(sK10))
| ~ element(sK9,powerset(the_carrier(sK8)))
| ~ finite(sK10)
| ~ rel_str(sK8) ),
inference(subsumption_resolution,[],[f545,f103]) ).
fof(f545,plain,
( ~ element(sK10,powerset(sK9))
| ~ rel_str(sK8)
| in(sK11(sK21(sK9,sK8,sK10)),powerset(sK10))
| ~ element(sK9,powerset(the_carrier(sK8)))
| ~ finite(sK10)
| ~ transitive_relstr(sK8) ),
inference(subsumption_resolution,[],[f517,f102]) ).
fof(f517,plain,
( empty_carrier(sK8)
| ~ element(sK10,powerset(sK9))
| ~ element(sK9,powerset(the_carrier(sK8)))
| ~ transitive_relstr(sK8)
| in(sK11(sK21(sK9,sK8,sK10)),powerset(sK10))
| ~ rel_str(sK8)
| ~ finite(sK10) ),
inference(resolution,[],[f475,f153]) ).
fof(f153,plain,
! [X2,X0,X1,X4] :
( ~ in(X4,sK21(X0,X1,X2))
| ~ element(X0,powerset(the_carrier(X1)))
| ~ element(X2,powerset(X0))
| ~ finite(X2)
| ~ transitive_relstr(X1)
| in(X4,powerset(X2))
| empty_carrier(X1)
| ~ rel_str(X1) ),
inference(backward_subsumption_demodulation,[],[f151,f152]) ).
fof(f152,plain,
! [X2,X0,X1,X4] :
( ~ in(X4,sK21(X0,X1,X2))
| ~ element(X2,powerset(X0))
| ~ element(X0,powerset(the_carrier(X1)))
| ~ transitive_relstr(X1)
| sK22(X0,X1,X2,X4) = X4
| empty_carrier(X1)
| ~ finite(X2)
| ~ rel_str(X1) ),
inference(subsumption_resolution,[],[f127,f149]) ).
fof(f127,plain,
! [X2,X0,X1,X4] :
( ~ in(X4,sK21(X0,X1,X2))
| ~ transitive_relstr(X1)
| ~ element(X0,powerset(the_carrier(X1)))
| ~ rel_str(X1)
| empty_carrier(X1)
| sP1(X1,X0)
| sK22(X0,X1,X2,X4) = X4
| ~ finite(X2)
| ~ element(X2,powerset(X0)) ),
inference(cnf_transformation,[],[f80]) ).
fof(f151,plain,
! [X2,X0,X1,X4] :
( ~ element(X0,powerset(the_carrier(X1)))
| ~ rel_str(X1)
| ~ transitive_relstr(X1)
| empty_carrier(X1)
| ~ finite(X2)
| in(sK22(X0,X1,X2,X4),powerset(X2))
| ~ element(X2,powerset(X0))
| ~ in(X4,sK21(X0,X1,X2)) ),
inference(subsumption_resolution,[],[f128,f149]) ).
fof(f128,plain,
! [X2,X0,X1,X4] :
( ~ finite(X2)
| ~ element(X2,powerset(X0))
| in(sK22(X0,X1,X2,X4),powerset(X2))
| sP1(X1,X0)
| ~ transitive_relstr(X1)
| empty_carrier(X1)
| ~ element(X0,powerset(the_carrier(X1)))
| ~ rel_str(X1)
| ~ in(X4,sK21(X0,X1,X2)) ),
inference(cnf_transformation,[],[f80]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU364+1 : TPTP v8.1.0. Released v3.3.0.
% 0.13/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n025.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 15:28:30 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.54 % (31657)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.55 TRYING [1]
% 0.20/0.55 % (31673)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.55 % (31665)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.55 TRYING [2]
% 0.20/0.55 % (31658)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.56 % (31666)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.56 % (31674)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.57 TRYING [3]
% 0.20/0.57 % (31658)Instruction limit reached!
% 0.20/0.57 % (31658)------------------------------
% 0.20/0.57 % (31658)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (31658)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (31658)Termination reason: Unknown
% 0.20/0.57 % (31658)Termination phase: Saturation
% 0.20/0.57
% 0.20/0.57 % (31658)Memory used [KB]: 5628
% 0.20/0.57 % (31658)Time elapsed: 0.131 s
% 0.20/0.57 % (31658)Instructions burned: 7 (million)
% 0.20/0.57 % (31658)------------------------------
% 0.20/0.57 % (31658)------------------------------
% 0.20/0.60 % (31654)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.93/0.60 % (31656)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.93/0.60 % (31655)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.93/0.60 % (31676)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.93/0.61 % (31657)Instruction limit reached!
% 1.93/0.61 % (31657)------------------------------
% 1.93/0.61 % (31657)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.93/0.61 % (31653)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.93/0.61 % (31668)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.93/0.61 % (31651)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 1.93/0.61 % (31671)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.93/0.61 % (31657)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.93/0.61 % (31657)Termination reason: Unknown
% 1.93/0.61 % (31657)Termination phase: Finite model building SAT solving
% 1.93/0.61
% 1.93/0.61 % (31657)Memory used [KB]: 7164
% 1.93/0.61 % (31672)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.93/0.61 % (31657)Time elapsed: 0.154 s
% 1.93/0.61 % (31657)Instructions burned: 51 (million)
% 1.93/0.61 % (31657)------------------------------
% 1.93/0.61 % (31657)------------------------------
% 1.93/0.62 % (31669)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.93/0.62 % (31670)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.93/0.62 % (31660)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 2.05/0.62 % (31678)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 2.05/0.62 % (31663)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 2.05/0.62 % (31680)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 2.05/0.62 % (31677)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 2.05/0.63 % (31652)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 2.05/0.63 % (31661)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 2.05/0.63 % (31679)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 2.05/0.63 % (31664)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 2.05/0.64 % (31662)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 2.05/0.64 % (31659)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 2.05/0.64 TRYING [1]
% 2.05/0.64 % (31659)Instruction limit reached!
% 2.05/0.64 % (31659)------------------------------
% 2.05/0.64 % (31659)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.05/0.64 % (31659)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.05/0.64 % (31659)Termination reason: Unknown
% 2.05/0.64 % (31659)Termination phase: Preprocessing 3
% 2.05/0.64
% 2.05/0.64 % (31659)Memory used [KB]: 895
% 2.05/0.64 % (31659)Time elapsed: 0.003 s
% 2.05/0.64 % (31659)Instructions burned: 2 (million)
% 2.05/0.64 % (31659)------------------------------
% 2.05/0.64 % (31659)------------------------------
% 2.05/0.64 TRYING [2]
% 2.05/0.64 TRYING [1]
% 2.05/0.64 TRYING [2]
% 2.05/0.65 % (31675)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 2.05/0.65 % (31652)Refutation not found, incomplete strategy% (31652)------------------------------
% 2.05/0.65 % (31652)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.05/0.65 % (31652)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.05/0.65 % (31652)Termination reason: Refutation not found, incomplete strategy
% 2.05/0.65
% 2.05/0.65 % (31652)Memory used [KB]: 5628
% 2.05/0.65 % (31652)Time elapsed: 0.185 s
% 2.05/0.65 % (31652)Instructions burned: 5 (million)
% 2.05/0.65 % (31652)------------------------------
% 2.05/0.65 % (31652)------------------------------
% 2.05/0.65 % (31667)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 2.05/0.67 TRYING [3]
% 2.43/0.69 TRYING [3]
% 2.43/0.71 % (31665)Instruction limit reached!
% 2.43/0.71 % (31665)------------------------------
% 2.43/0.71 % (31665)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.43/0.71 % (31665)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.43/0.71 % (31665)Termination reason: Unknown
% 2.43/0.71 % (31665)Termination phase: Saturation
% 2.43/0.71
% 2.43/0.71 % (31665)Memory used [KB]: 7164
% 2.43/0.71 % (31665)Time elapsed: 0.094 s
% 2.43/0.71 % (31665)Instructions burned: 68 (million)
% 2.43/0.71 % (31665)------------------------------
% 2.43/0.71 % (31665)------------------------------
% 2.43/0.71 % (31653)Instruction limit reached!
% 2.43/0.71 % (31653)------------------------------
% 2.43/0.71 % (31653)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.43/0.71 % (31653)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.43/0.71 % (31653)Termination reason: Unknown
% 2.43/0.71 % (31653)Termination phase: Saturation
% 2.43/0.71
% 2.43/0.71 % (31653)Memory used [KB]: 1407
% 2.43/0.71 % (31653)Time elapsed: 0.288 s
% 2.43/0.71 % (31653)Instructions burned: 38 (million)
% 2.43/0.71 % (31653)------------------------------
% 2.43/0.71 % (31653)------------------------------
% 2.43/0.72 % (31668)Instruction limit reached!
% 2.43/0.72 % (31668)------------------------------
% 2.43/0.72 % (31668)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.43/0.72 % (31668)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.43/0.72 % (31668)Termination reason: Unknown
% 2.43/0.72 % (31668)Termination phase: Finite model building SAT solving
% 2.43/0.72
% 2.43/0.72 % (31668)Memory used [KB]: 7291
% 2.43/0.72 % (31668)Time elapsed: 0.232 s
% 2.43/0.72 % (31668)Instructions burned: 60 (million)
% 2.43/0.72 % (31668)------------------------------
% 2.43/0.72 % (31668)------------------------------
% 2.43/0.73 % (31671)First to succeed.
% 2.43/0.74 % (31666)Instruction limit reached!
% 2.43/0.74 % (31666)------------------------------
% 2.43/0.74 % (31666)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.43/0.74 % (31666)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.43/0.74 % (31666)Termination reason: Unknown
% 2.43/0.74 % (31666)Termination phase: Saturation
% 2.43/0.74
% 2.43/0.74 % (31666)Memory used [KB]: 2174
% 2.43/0.74 % (31666)Time elapsed: 0.304 s
% 2.43/0.74 % (31666)Instructions burned: 75 (million)
% 2.43/0.74 % (31666)------------------------------
% 2.43/0.74 % (31666)------------------------------
% 2.43/0.74 % (31655)Instruction limit reached!
% 2.43/0.74 % (31655)------------------------------
% 2.43/0.74 % (31655)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.43/0.74 % (31655)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.43/0.74 % (31655)Termination reason: Unknown
% 2.43/0.74 % (31655)Termination phase: Saturation
% 2.43/0.74
% 2.43/0.74 % (31655)Memory used [KB]: 6140
% 2.43/0.74 % (31655)Time elapsed: 0.310 s
% 2.43/0.74 % (31655)Instructions burned: 52 (million)
% 2.43/0.74 % (31655)------------------------------
% 2.43/0.74 % (31655)------------------------------
% 2.43/0.74 TRYING [4]
% 2.43/0.74 % (31654)Instruction limit reached!
% 2.43/0.74 % (31654)------------------------------
% 2.43/0.74 % (31654)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.43/0.74 % (31654)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.43/0.74 % (31654)Termination reason: Unknown
% 2.43/0.74 % (31654)Termination phase: Saturation
% 2.43/0.74
% 2.43/0.74 % (31654)Memory used [KB]: 6140
% 2.43/0.74 % (31654)Time elapsed: 0.305 s
% 2.43/0.74 % (31654)Instructions burned: 51 (million)
% 2.43/0.74 % (31654)------------------------------
% 2.43/0.74 % (31654)------------------------------
% 2.43/0.74 % (31656)Instruction limit reached!
% 2.43/0.74 % (31656)------------------------------
% 2.43/0.74 % (31656)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.43/0.74 % (31656)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.43/0.74 % (31656)Termination reason: Unknown
% 2.43/0.74 % (31656)Termination phase: Saturation
% 2.43/0.74
% 2.43/0.74 % (31656)Memory used [KB]: 6140
% 2.43/0.74 % (31656)Time elapsed: 0.297 s
% 2.43/0.74 % (31656)Instructions burned: 48 (million)
% 2.43/0.74 % (31656)------------------------------
% 2.43/0.74 % (31656)------------------------------
% 2.98/0.76 % (31671)Refutation found. Thanks to Tanya!
% 2.98/0.76 % SZS status Theorem for theBenchmark
% 2.98/0.76 % SZS output start Proof for theBenchmark
% See solution above
% 2.98/0.76 % (31671)------------------------------
% 2.98/0.76 % (31671)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.98/0.76 % (31671)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.98/0.76 % (31671)Termination reason: Refutation
% 2.98/0.76
% 2.98/0.76 % (31671)Memory used [KB]: 6140
% 2.98/0.76 % (31671)Time elapsed: 0.292 s
% 2.98/0.76 % (31671)Instructions burned: 41 (million)
% 2.98/0.76 % (31671)------------------------------
% 2.98/0.76 % (31671)------------------------------
% 2.98/0.76 % (31650)Success in time 0.395 s
%------------------------------------------------------------------------------