%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU272+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n026.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 : Tue Sep 29 12:52:40 PM UTC 2026
% Result : Theorem 14.85s 5.08s
% Output : Refutation 14.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 121
% Number of leaves : 5
% Syntax : Number of formulae : 254 ( 16 unt; 3 def)
% Number of atoms : 1054 ( 385 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 1121 ( 321 ~; 663 |; 121 &)
% ( 7 <=>; 8 =>; 0 <=; 1 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 3 con; 0-3 aty)
% Number of variables : 250 ( 182 !; 68 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0,X1] :
( ordinal(X1)
=> ? [X2] :
! [X3] :
( in(X3,X2)
<=> ( in(X3,succ(X1))
& ? [X4] :
( ordinal(X4)
& X3 = X4
& in(X4,X0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_xboole_0__e8_6__wellord2__1) ).
fof(f2,negated_conjecture,
~ ! [X0,X1] :
( ordinal(X1)
=> ? [X2] :
! [X3] :
( in(X3,X2)
<=> ( in(X3,succ(X1))
& ? [X4] :
( ordinal(X4)
& X3 = X4
& in(X4,X0) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f15,axiom,
! [X0,X1] :
( ordinal(X1)
=> ( ! [X2,X3,X4] :
( ( X2 = X3
& ? [X5] :
( ordinal(X5)
& X3 = X5
& in(X5,X0) )
& X2 = X4
& ? [X6] :
( ordinal(X6)
& X4 = X6
& in(X6,X0) ) )
=> X3 = X4 )
=> ? [X2] :
! [X3] :
( in(X3,X2)
<=> ? [X4] :
( in(X4,succ(X1))
& X4 = X3
& ? [X7] :
( ordinal(X7)
& X3 = X7
& in(X7,X0) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_tarski__e8_6__wellord2__1) ).
fof(f16,plain,
! [X0,X1] :
( ordinal(X1)
=> ( ! [X2,X3,X4] :
( ( X2 = X3
& ? [X5] :
( ordinal(X5)
& X3 = X5
& in(X5,X0) )
& X2 = X4
& ? [X6] :
( ordinal(X6)
& X4 = X6
& in(X6,X0) ) )
=> X3 = X4 )
=> ? [X7] :
! [X8] :
( in(X8,X7)
<=> ? [X9] :
( in(X9,succ(X1))
& X8 = X9
& ? [X10] :
( ordinal(X10)
& X8 = X10
& in(X10,X0) ) ) ) ) ),
inference(rectify,[],[f15]) ).
fof(f18,plain,
? [X0,X1] :
( ! [X2] :
? [X3] :
( in(X3,X2)
<~> ( in(X3,succ(X1))
& ? [X4] :
( ordinal(X4)
& X3 = X4
& in(X4,X0) ) ) )
& ordinal(X1) ),
inference(ennf_transformation,[],[f2]) ).
fof(f25,plain,
! [X0,X1] :
( ? [X7] :
! [X8] :
( in(X8,X7)
<=> ? [X9] :
( in(X9,succ(X1))
& X8 = X9
& ? [X10] :
( ordinal(X10)
& X8 = X10
& in(X10,X0) ) ) )
| ? [X2,X3,X4] :
( X3 != X4
& X2 = X3
& ? [X5] :
( ordinal(X5)
& X3 = X5
& in(X5,X0) )
& X2 = X4
& ? [X6] :
( ordinal(X6)
& X4 = X6
& in(X6,X0) ) )
| ~ ordinal(X1) ),
inference(ennf_transformation,[],[f16]) ).
fof(f26,plain,
! [X0,X1] :
( ? [X7] :
! [X8] :
( in(X8,X7)
<=> ? [X9] :
( in(X9,succ(X1))
& X8 = X9
& ? [X10] :
( ordinal(X10)
& X8 = X10
& in(X10,X0) ) ) )
| ? [X2,X3,X4] :
( X3 != X4
& X2 = X3
& ? [X5] :
( ordinal(X5)
& X3 = X5
& in(X5,X0) )
& X2 = X4
& ? [X6] :
( ordinal(X6)
& X4 = X6
& in(X6,X0) ) )
| ~ ordinal(X1) ),
inference(flattening,[],[f25]) ).
fof(f27,definition,
! [X4,X0] :
( ? [X6] :
( ordinal(X6)
& X4 = X6
& in(X6,X0) )
| ~ sP0(X4,X0) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f28,definition,
! [X0] :
( ? [X2,X3,X4] :
( X3 != X4
& X2 = X3
& ? [X5] :
( ordinal(X5)
& X3 = X5
& in(X5,X0) )
& X2 = X4
& sP0(X4,X0) )
| ~ sP1(X0) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f29,plain,
! [X0,X1] :
( ? [X7] :
! [X8] :
( in(X8,X7)
<=> ? [X9] :
( in(X9,succ(X1))
& X8 = X9
& ? [X10] :
( ordinal(X10)
& X8 = X10
& in(X10,X0) ) ) )
| sP1(X0)
| ~ ordinal(X1) ),
inference(definition_folding,[],[f26,f28,f27]) ).
fof(f30,plain,
? [X0,X1] :
( ! [X2] :
? [X3] :
( ( ~ in(X3,succ(X1))
| ! [X4] :
( ~ ordinal(X4)
| X3 != X4
| ~ in(X4,X0) )
| ~ in(X3,X2) )
& ( ( in(X3,succ(X1))
& ? [X4] :
( ordinal(X4)
& X3 = X4
& in(X4,X0) ) )
| in(X3,X2) ) )
& ordinal(X1) ),
inference(nnf_transformation,[],[f18]) ).
fof(f31,plain,
? [X0,X1] :
( ! [X2] :
? [X3] :
( ( ~ in(X3,succ(X1))
| ! [X4] :
( ~ ordinal(X4)
| X3 != X4
| ~ in(X4,X0) )
| ~ in(X3,X2) )
& ( ( in(X3,succ(X1))
& ? [X4] :
( ordinal(X4)
& X3 = X4
& in(X4,X0) ) )
| in(X3,X2) ) )
& ordinal(X1) ),
inference(flattening,[],[f30]) ).
fof(f32,plain,
? [X0,X1] :
( ! [X2] :
? [X3] :
( ( ~ in(X3,succ(X1))
| ! [X4] :
( ~ ordinal(X4)
| X3 != X4
| ~ in(X4,X0) )
| ~ in(X3,X2) )
& ( ( in(X3,succ(X1))
& ? [X5] :
( ordinal(X5)
& X3 = X5
& in(X5,X0) ) )
| in(X3,X2) ) )
& ordinal(X1) ),
inference(rectify,[],[f31]) ).
fof(f33,plain,
( ! [X2] :
( ( ~ in(sK4(X2),succ(sK3))
| ! [X4] :
( ~ ordinal(X4)
| sK4(X2) != X4
| ~ in(X4,sK2) )
| ~ in(sK4(X2),X2) )
& ( ( in(sK4(X2),succ(sK3))
& ordinal(sK5(X2))
& sK4(X2) = sK5(X2)
& in(sK5(X2),sK2) )
| in(sK4(X2),X2) ) )
& ordinal(sK3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5]),skolemize(X0,sK2),skolemize(X1,sK3),skolemize(X3,sK4(X2)),skolemize(X5,sK5(X2))],[f32]) ).
fof(f38,plain,
! [X0] :
( ? [X2,X3,X4] :
( X3 != X4
& X2 = X3
& ? [X5] :
( ordinal(X5)
& X3 = X5
& in(X5,X0) )
& X2 = X4
& sP0(X4,X0) )
| ~ sP1(X0) ),
inference(nnf_transformation,[],[f28]) ).
fof(f39,plain,
! [X0] :
( ? [X1,X2,X3] :
( X2 != X3
& X1 = X2
& ? [X4] :
( ordinal(X4)
& X2 = X4
& in(X4,X0) )
& X1 = X3
& sP0(X3,X0) )
| ~ sP1(X0) ),
inference(rectify,[],[f38]) ).
fof(f40,plain,
! [X0] :
( ( sK11(X0) != sK12(X0)
& sK10(X0) = sK11(X0)
& ordinal(sK13(X0))
& sK11(X0) = sK13(X0)
& in(sK13(X0),X0)
& sK10(X0) = sK12(X0)
& sP0(sK12(X0),X0) )
| ~ sP1(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10,sK11,sK12,sK13]),skolemize(X1,sK10(X0)),skolemize(X2,sK11(X0)),skolemize(X3,sK12(X0)),skolemize(X4,sK13(X0))],[f39]) ).
fof(f44,plain,
! [X0,X1] :
( ? [X7] :
! [X8] :
( ( in(X8,X7)
| ! [X9] :
( ~ in(X9,succ(X1))
| X8 != X9
| ! [X10] :
( ~ ordinal(X10)
| X8 != X10
| ~ in(X10,X0) ) ) )
& ( ? [X9] :
( in(X9,succ(X1))
& X8 = X9
& ? [X10] :
( ordinal(X10)
& X8 = X10
& in(X10,X0) ) )
| ~ in(X8,X7) ) )
| sP1(X0)
| ~ ordinal(X1) ),
inference(nnf_transformation,[],[f29]) ).
fof(f45,plain,
! [X0,X1] :
( ? [X2] :
! [X3] :
( ( in(X3,X2)
| ! [X4] :
( ~ in(X4,succ(X1))
| X3 != X4
| ! [X5] :
( ~ ordinal(X5)
| X3 != X5
| ~ in(X5,X0) ) ) )
& ( ? [X6] :
( in(X6,succ(X1))
& X3 = X6
& ? [X7] :
( ordinal(X7)
& X3 = X7
& in(X7,X0) ) )
| ~ in(X3,X2) ) )
| sP1(X0)
| ~ ordinal(X1) ),
inference(rectify,[],[f44]) ).
fof(f46,plain,
! [X0,X1] :
( ! [X3] :
( ( in(X3,sK15(X0,X1))
| ! [X4] :
( ~ in(X4,succ(X1))
| X3 != X4
| ! [X5] :
( ~ ordinal(X5)
| X3 != X5
| ~ in(X5,X0) ) ) )
& ( ( in(sK16(X0,X1,X3),succ(X1))
& sK16(X0,X1,X3) = X3
& ordinal(sK17(X0,X3))
& sK17(X0,X3) = X3
& in(sK17(X0,X3),X0) )
| ~ in(X3,sK15(X0,X1)) ) )
| sP1(X0)
| ~ ordinal(X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK15,sK16,sK17]),skolemize(X2,sK15(X0,X1)),skolemize(X6,sK16(X0,X1,X3)),skolemize(X7,sK17(X0,X3))],[f45]) ).
fof(f47,plain,
ordinal(sK3),
inference(cnf_transformation,[],[f33]) ).
fof(f48,plain,
! [X2] :
( in(sK5(X2),sK2)
| in(sK4(X2),X2) ),
inference(cnf_transformation,[],[f33]) ).
fof(f49,plain,
! [X2] :
( in(sK4(X2),X2)
| sK4(X2) = sK5(X2) ),
inference(cnf_transformation,[],[f33]) ).
fof(f50,plain,
! [X2] :
( in(sK4(X2),X2)
| ordinal(sK5(X2)) ),
inference(cnf_transformation,[],[f33]) ).
fof(f51,plain,
! [X2] :
( in(sK4(X2),succ(sK3))
| in(sK4(X2),X2) ),
inference(cnf_transformation,[],[f33]) ).
fof(f52,plain,
! [X2,X4] :
( ~ in(sK4(X2),succ(sK3))
| ~ ordinal(X4)
| sK4(X2) != X4
| ~ in(X4,sK2)
| ~ in(sK4(X2),X2) ),
inference(cnf_transformation,[],[f33]) ).
fof(f75,plain,
! [X0] :
( ~ sP1(X0)
| sK10(X0) = sK12(X0) ),
inference(cnf_transformation,[],[f40]) ).
fof(f79,plain,
! [X0] :
( ~ sP1(X0)
| sK10(X0) = sK11(X0) ),
inference(cnf_transformation,[],[f40]) ).
fof(f80,plain,
! [X0] :
( sK11(X0) != sK12(X0)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f40]) ).
fof(f84,plain,
! [X3,X0,X1] :
( ~ in(X3,sK15(X0,X1))
| in(sK17(X0,X3),X0)
| sP1(X0)
| ~ ordinal(X1) ),
inference(cnf_transformation,[],[f46]) ).
fof(f85,plain,
! [X3,X0,X1] :
( ~ in(X3,sK15(X0,X1))
| sK17(X0,X3) = X3
| sP1(X0)
| ~ ordinal(X1) ),
inference(cnf_transformation,[],[f46]) ).
fof(f86,plain,
! [X3,X0,X1] :
( ~ in(X3,sK15(X0,X1))
| ordinal(sK17(X0,X3))
| sP1(X0)
| ~ ordinal(X1) ),
inference(cnf_transformation,[],[f46]) ).
fof(f87,plain,
! [X3,X0,X1] :
( ~ in(X3,sK15(X0,X1))
| sK16(X0,X1,X3) = X3
| sP1(X0)
| ~ ordinal(X1) ),
inference(cnf_transformation,[],[f46]) ).
fof(f88,plain,
! [X3,X0,X1] :
( in(sK16(X0,X1,X3),succ(X1))
| ~ in(X3,sK15(X0,X1))
| sP1(X0)
| ~ ordinal(X1) ),
inference(cnf_transformation,[],[f46]) ).
fof(f89,plain,
! [X3,X0,X1,X4,X5] :
( in(X3,sK15(X0,X1))
| ~ in(X4,succ(X1))
| X3 != X4
| ~ ordinal(X5)
| X3 != X5
| ~ in(X5,X0)
| sP1(X0)
| ~ ordinal(X1) ),
inference(cnf_transformation,[],[f46]) ).
fof(f90,plain,
! [X2] :
( ~ in(sK4(X2),succ(sK3))
| ~ ordinal(sK4(X2))
| ~ in(sK4(X2),sK2)
| ~ in(sK4(X2),X2) ),
inference(equality_resolution,[],[f52]) ).
fof(f91,plain,
! [X0,X1,X4,X5] :
( in(X4,sK15(X0,X1))
| ~ in(X4,succ(X1))
| ~ ordinal(X5)
| X4 != X5
| ~ in(X5,X0)
| sP1(X0)
| ~ ordinal(X1) ),
inference(equality_resolution,[],[f89]) ).
fof(f92,plain,
! [X0,X1,X5] :
( in(X5,sK15(X0,X1))
| ~ in(X5,succ(X1))
| ~ ordinal(X5)
| ~ in(X5,X0)
| sP1(X0)
| ~ ordinal(X1) ),
inference(equality_resolution,[],[f91]) ).
fof(f93,definition,
sF18 = succ(sK3),
introduced(definition,[new_symbols(definition,[sF18])],[function_definition]) ).
fof(f94,plain,
succ(sK3) = sF18,
inference(reorient_equations,[],[f93]) ).
fof(f95,plain,
! [X2] :
( ~ in(sK4(X2),sF18)
| ~ ordinal(sK4(X2))
| ~ in(sK4(X2),sK2)
| ~ in(sK4(X2),X2) ),
inference(definition_folding,[],[f90,f94]) ).
fof(f96,plain,
! [X2] :
( in(sK4(X2),sF18)
| in(sK4(X2),X2) ),
inference(definition_folding,[],[f51,f94]) ).
fof(f148,plain,
! [X0,X1] :
( ordinal(sK17(X0,sK4(sK15(X0,X1))))
| sP1(X0)
| ~ ordinal(X1)
| sK4(sK15(X0,X1)) = sK5(sK15(X0,X1)) ),
inference(resolution,[],[f86,f49]) ).
fof(f151,plain,
! [X0,X1] :
( ordinal(sK17(X0,sK4(sK15(X0,X1))))
| sP1(X0)
| ~ ordinal(X1)
| ordinal(sK5(sK15(X0,X1))) ),
inference(resolution,[],[f86,f50]) ).
fof(f156,plain,
! [X0,X1] :
( in(sK17(X0,sK4(sK15(X0,X1))),X0)
| sP1(X0)
| ~ ordinal(X1)
| sK4(sK15(X0,X1)) = sK5(sK15(X0,X1)) ),
inference(resolution,[],[f84,f49]) ).
fof(f158,plain,
! [X0,X1] :
( in(sK17(X0,sK4(sK15(X0,X1))),X0)
| sP1(X0)
| ~ ordinal(X1)
| in(sK5(sK15(X0,X1)),sK2) ),
inference(resolution,[],[f84,f48]) ).
fof(f162,plain,
! [X0,X1] :
( ~ ordinal(X1)
| sP1(X0)
| sK4(sK15(X0,X1)) = sK17(X0,sK4(sK15(X0,X1)))
| sK4(sK15(X0,X1)) = sK5(sK15(X0,X1)) ),
inference(resolution,[],[f85,f49]) ).
fof(f163,plain,
! [X0,X1] :
( in(sK4(sK15(X0,X1)),sF18)
| sP1(X0)
| ~ ordinal(X1)
| sK4(sK15(X0,X1)) = sK17(X0,sK4(sK15(X0,X1))) ),
inference(resolution,[],[f85,f96]) ).
fof(f164,plain,
! [X0,X1] :
( in(sK5(sK15(X0,X1)),sK2)
| sP1(X0)
| ~ ordinal(X1)
| sK4(sK15(X0,X1)) = sK17(X0,sK4(sK15(X0,X1))) ),
inference(resolution,[],[f85,f48]) ).
fof(f165,plain,
! [X0,X1] :
( ordinal(sK5(sK15(X0,X1)))
| sP1(X0)
| ~ ordinal(X1)
| sK4(sK15(X0,X1)) = sK17(X0,sK4(sK15(X0,X1))) ),
inference(resolution,[],[f85,f50]) ).
fof(f169,plain,
! [X0,X1] :
( ~ ordinal(X1)
| sP1(X0)
| sK4(sK15(X0,X1)) = sK16(X0,X1,sK4(sK15(X0,X1)))
| sK4(sK15(X0,X1)) = sK5(sK15(X0,X1)) ),
inference(resolution,[],[f87,f49]) ).
fof(f170,plain,
! [X0,X1] :
( in(sK4(sK15(X0,X1)),sF18)
| sP1(X0)
| ~ ordinal(X1)
| sK4(sK15(X0,X1)) = sK16(X0,X1,sK4(sK15(X0,X1))) ),
inference(resolution,[],[f87,f96]) ).
fof(f172,plain,
! [X0,X1] :
( ordinal(sK5(sK15(X0,X1)))
| sP1(X0)
| ~ ordinal(X1)
| sK4(sK15(X0,X1)) = sK16(X0,X1,sK4(sK15(X0,X1))) ),
inference(resolution,[],[f87,f50]) ).
fof(f178,plain,
! [X0,X1] :
( in(sK16(X0,sK3,X1),sF18)
| ~ in(X1,sK15(X0,sK3))
| sP1(X0)
| ~ ordinal(sK3) ),
inference(superposition,[],[f88,f94]) ).
fof(f179,plain,
! [X0,X1] :
( in(sK16(X0,sK3,X1),sF18)
| ~ in(X1,sK15(X0,sK3))
| sP1(X0) ),
inference(forward_subsumption_resolution,[],[f178,f47]) ).
fof(f181,plain,
! [X2,X0,X1] :
( ~ in(X0,succ(X1))
| ~ ordinal(X0)
| ~ in(X0,X2)
| sP1(X2)
| ~ ordinal(X1)
| sK16(X2,X1,X0) = X0
| sP1(X2)
| ~ ordinal(X1) ),
inference(resolution,[],[f92,f87]) ).
fof(f182,plain,
! [X2,X0,X1] :
( ~ in(X0,succ(X1))
| ~ ordinal(X0)
| ~ in(X0,X2)
| sP1(X2)
| ~ ordinal(X1)
| sK17(X2,X0) = X0
| sP1(X2)
| ~ ordinal(X1) ),
inference(resolution,[],[f92,f85]) ).
fof(f188,plain,
! [X2,X0,X1] :
( ~ in(X0,succ(X1))
| ~ ordinal(X0)
| ~ in(X0,X2)
| sP1(X2)
| ~ ordinal(X1)
| sK17(X2,X0) = X0 ),
inference(duplicate_literal_removal,[],[f182]) ).
fof(f189,plain,
! [X2,X0,X1] :
( ~ in(X0,succ(X1))
| ~ ordinal(X0)
| ~ in(X0,X2)
| sP1(X2)
| ~ ordinal(X1)
| sK16(X2,X1,X0) = X0 ),
inference(duplicate_literal_removal,[],[f181]) ).
fof(f228,plain,
! [X0] :
( sP1(X0)
| sK4(sK15(X0,sK3)) = sK17(X0,sK4(sK15(X0,sK3)))
| sK4(sK15(X0,sK3)) = sK5(sK15(X0,sK3)) ),
inference(resolution,[],[f162,f47]) ).
fof(f243,plain,
! [X0] :
( sP1(X0)
| sK4(sK15(X0,sK3)) = sK16(X0,sK3,sK4(sK15(X0,sK3)))
| sK4(sK15(X0,sK3)) = sK5(sK15(X0,sK3)) ),
inference(resolution,[],[f169,f47]) ).
fof(f353,plain,
! [X0,X1] :
( ~ in(X0,sF18)
| ~ ordinal(X0)
| ~ in(X0,X1)
| sP1(X1)
| ~ ordinal(sK3)
| sK17(X1,X0) = X0 ),
inference(superposition,[],[f188,f94]) ).
fof(f355,plain,
! [X0,X1] :
( ~ in(X0,sF18)
| ~ ordinal(X0)
| ~ in(X0,X1)
| sP1(X1)
| sK17(X1,X0) = X0 ),
inference(forward_subsumption_resolution,[],[f353,f47]) ).
fof(f370,plain,
! [X2,X0,X1] :
( ~ in(sK4(sK15(X0,X1)),X2)
| ~ ordinal(sK4(sK15(X0,X1)))
| sP1(X2)
| sK4(sK15(X0,X1)) = sK17(X2,sK4(sK15(X0,X1)))
| sP1(X0)
| ~ ordinal(X1)
| sK4(sK15(X0,X1)) = sK17(X0,sK4(sK15(X0,X1))) ),
inference(resolution,[],[f355,f163]) ).
fof(f404,plain,
! [X0,X1] :
( ~ in(X0,sF18)
| ~ ordinal(X0)
| ~ in(X0,X1)
| sP1(X1)
| ~ ordinal(sK3)
| sK16(X1,sK3,X0) = X0 ),
inference(superposition,[],[f189,f94]) ).
fof(f406,plain,
! [X0,X1] :
( ~ in(X0,sF18)
| ~ ordinal(X0)
| ~ in(X0,X1)
| sP1(X1)
| sK16(X1,sK3,X0) = X0 ),
inference(forward_subsumption_resolution,[],[f404,f47]) ).
fof(f424,plain,
! [X2,X0,X1] :
( ~ in(sK4(sK15(X0,X1)),X2)
| ~ ordinal(sK4(sK15(X0,X1)))
| sP1(X2)
| sK4(sK15(X0,X1)) = sK16(X2,sK3,sK4(sK15(X0,X1)))
| sP1(X0)
| ~ ordinal(X1)
| sK4(sK15(X0,X1)) = sK16(X0,X1,sK4(sK15(X0,X1))) ),
inference(resolution,[],[f406,f170]) ).
fof(f453,plain,
! [X0] :
( sK4(sK15(X0,sK3)) = sK17(X0,sK4(sK15(X0,sK3)))
| sK4(sK15(X0,sK3)) = sK5(sK15(X0,sK3))
| sK10(X0) = sK11(X0) ),
inference(resolution,[],[f228,f79]) ).
fof(f455,plain,
! [X0] :
( sK4(sK15(X0,sK3)) = sK17(X0,sK4(sK15(X0,sK3)))
| sK4(sK15(X0,sK3)) = sK5(sK15(X0,sK3))
| sK10(X0) = sK12(X0) ),
inference(resolution,[],[f228,f75]) ).
fof(f492,plain,
! [X0] :
( sK4(sK15(X0,sK3)) = sK16(X0,sK3,sK4(sK15(X0,sK3)))
| sK4(sK15(X0,sK3)) = sK5(sK15(X0,sK3))
| sK10(X0) = sK11(X0) ),
inference(resolution,[],[f243,f79]) ).
fof(f494,plain,
! [X0] :
( sK4(sK15(X0,sK3)) = sK16(X0,sK3,sK4(sK15(X0,sK3)))
| sK4(sK15(X0,sK3)) = sK5(sK15(X0,sK3))
| sK10(X0) = sK12(X0) ),
inference(resolution,[],[f243,f75]) ).
fof(f1194,plain,
! [X0] :
( ordinal(sK4(sK15(X0,sK3)))
| sP1(X0)
| ~ ordinal(sK3)
| sK4(sK15(X0,sK3)) = sK5(sK15(X0,sK3))
| sK4(sK15(X0,sK3)) = sK5(sK15(X0,sK3))
| sK10(X0) = sK11(X0) ),
inference(superposition,[],[f148,f453]) ).
fof(f1200,plain,
! [X0] :
( in(sK4(sK15(X0,sK3)),X0)
| sP1(X0)
| ~ ordinal(sK3)
| sK4(sK15(X0,sK3)) = sK5(sK15(X0,sK3))
| sK4(sK15(X0,sK3)) = sK5(sK15(X0,sK3))
| sK10(X0) = sK11(X0) ),
inference(superposition,[],[f156,f453]) ).
fof(f1238,plain,
! [X0] :
( in(sK4(sK15(X0,sK3)),X0)
| sP1(X0)
| ~ ordinal(sK3)
| sK4(sK15(X0,sK3)) = sK5(sK15(X0,sK3))
| sK10(X0) = sK11(X0) ),
inference(duplicate_literal_removal,[],[f1200]) ).
fof(f1239,plain,
! [X0] :
( ordinal(sK4(sK15(X0,sK3)))
| sP1(X0)
| ~ ordinal(sK3)
| sK4(sK15(X0,sK3)) = sK5(sK15(X0,sK3))
| sK10(X0) = sK11(X0) ),
inference(duplicate_literal_removal,[],[f1194]) ).
fof(f1267,plain,
! [X0] :
( in(sK4(sK15(X0,sK3)),X0)
| ~ ordinal(sK3)
| sK4(sK15(X0,sK3)) = sK5(sK15(X0,sK3))
| sK10(X0) = sK11(X0) ),
inference(forward_subsumption_resolution,[],[f1238,f79]) ).
fof(f1273,plain,
! [X0] :
( ordinal(sK4(sK15(X0,sK3)))
| ~ ordinal(sK3)
| sK4(sK15(X0,sK3)) = sK5(sK15(X0,sK3))
| sK10(X0) = sK11(X0) ),
inference(forward_subsumption_resolution,[],[f1239,f79]) ).
fof(f1301,plain,
! [X0] :
( in(sK4(sK15(X0,sK3)),X0)
| sK4(sK15(X0,sK3)) = sK5(sK15(X0,sK3))
| sK10(X0) = sK11(X0) ),
inference(forward_subsumption_resolution,[],[f1267,f47]) ).
fof(f1307,plain,
! [X0] :
( ordinal(sK4(sK15(X0,sK3)))
| sK4(sK15(X0,sK3)) = sK5(sK15(X0,sK3))
| sK10(X0) = sK11(X0) ),
inference(forward_subsumption_resolution,[],[f1273,f47]) ).
fof(f1789,plain,
! [X0] :
( ordinal(sK4(sK15(X0,sK3)))
| sP1(X0)
| ~ ordinal(sK3)
| sK4(sK15(X0,sK3)) = sK5(sK15(X0,sK3))
| sK4(sK15(X0,sK3)) = sK5(sK15(X0,sK3))
| sK10(X0) = sK12(X0) ),
inference(superposition,[],[f148,f455]) ).
fof(f1795,plain,
! [X0] :
( in(sK4(sK15(X0,sK3)),X0)
| sP1(X0)
| ~ ordinal(sK3)
| sK4(sK15(X0,sK3)) = sK5(sK15(X0,sK3))
| sK4(sK15(X0,sK3)) = sK5(sK15(X0,sK3))
| sK10(X0) = sK12(X0) ),
inference(superposition,[],[f156,f455]) ).
fof(f1845,plain,
! [X0] :
( in(sK4(sK15(X0,sK3)),X0)
| sP1(X0)
| ~ ordinal(sK3)
| sK4(sK15(X0,sK3)) = sK5(sK15(X0,sK3))
| sK10(X0) = sK12(X0) ),
inference(duplicate_literal_removal,[],[f1795]) ).
fof(f1846,plain,
! [X0] :
( ordinal(sK4(sK15(X0,sK3)))
| sP1(X0)
| ~ ordinal(sK3)
| sK4(sK15(X0,sK3)) = sK5(sK15(X0,sK3))
| sK10(X0) = sK12(X0) ),
inference(duplicate_literal_removal,[],[f1789]) ).
fof(f1883,plain,
! [X0] :
( in(sK4(sK15(X0,sK3)),X0)
| ~ ordinal(sK3)
| sK4(sK15(X0,sK3)) = sK5(sK15(X0,sK3))
| sK10(X0) = sK12(X0) ),
inference(forward_subsumption_resolution,[],[f1845,f75]) ).
fof(f1889,plain,
! [X0] :
( ordinal(sK4(sK15(X0,sK3)))
| ~ ordinal(sK3)
| sK4(sK15(X0,sK3)) = sK5(sK15(X0,sK3))
| sK10(X0) = sK12(X0) ),
inference(forward_subsumption_resolution,[],[f1846,f75]) ).
fof(f1926,plain,
! [X0] :
( in(sK4(sK15(X0,sK3)),X0)
| sK4(sK15(X0,sK3)) = sK5(sK15(X0,sK3))
| sK10(X0) = sK12(X0) ),
inference(forward_subsumption_resolution,[],[f1883,f47]) ).
fof(f1932,plain,
! [X0] :
( ordinal(sK4(sK15(X0,sK3)))
| sK4(sK15(X0,sK3)) = sK5(sK15(X0,sK3))
| sK10(X0) = sK12(X0) ),
inference(forward_subsumption_resolution,[],[f1889,f47]) ).
fof(f5167,plain,
! [X0] :
( in(sK4(sK15(X0,sK3)),sF18)
| ~ in(sK4(sK15(X0,sK3)),sK15(X0,sK3))
| sP1(X0)
| sK4(sK15(X0,sK3)) = sK5(sK15(X0,sK3))
| sK10(X0) = sK11(X0) ),
inference(superposition,[],[f179,f492]) ).
fof(f5180,plain,
! [X0] :
( in(sK4(sK15(X0,sK3)),sF18)
| sP1(X0)
| sK4(sK15(X0,sK3)) = sK5(sK15(X0,sK3))
| sK10(X0) = sK11(X0) ),
inference(forward_subsumption_resolution,[],[f5167,f49]) ).
fof(f5188,plain,
! [X0] :
( in(sK4(sK15(X0,sK3)),sF18)
| sK4(sK15(X0,sK3)) = sK5(sK15(X0,sK3))
| sK10(X0) = sK11(X0) ),
inference(forward_subsumption_resolution,[],[f5180,f79]) ).
fof(f5260,plain,
! [X0] :
( in(sK4(sK15(X0,sK3)),sF18)
| ~ in(sK4(sK15(X0,sK3)),sK15(X0,sK3))
| sP1(X0)
| sK4(sK15(X0,sK3)) = sK5(sK15(X0,sK3))
| sK10(X0) = sK12(X0) ),
inference(superposition,[],[f179,f494]) ).
fof(f5273,plain,
! [X0] :
( in(sK4(sK15(X0,sK3)),sF18)
| sP1(X0)
| sK4(sK15(X0,sK3)) = sK5(sK15(X0,sK3))
| sK10(X0) = sK12(X0) ),
inference(forward_subsumption_resolution,[],[f5260,f49]) ).
fof(f5281,plain,
! [X0] :
( in(sK4(sK15(X0,sK3)),sF18)
| sK4(sK15(X0,sK3)) = sK5(sK15(X0,sK3))
| sK10(X0) = sK12(X0) ),
inference(forward_subsumption_resolution,[],[f5273,f75]) ).
fof(f6907,plain,
! [X0] :
( sK4(sK15(X0,sK3)) = sK5(sK15(X0,sK3))
| sK10(X0) = sK11(X0)
| ~ ordinal(sK4(sK15(X0,sK3)))
| ~ in(sK4(sK15(X0,sK3)),sK2)
| ~ in(sK4(sK15(X0,sK3)),sK15(X0,sK3)) ),
inference(resolution,[],[f5188,f95]) ).
fof(f6913,plain,
! [X0] :
( sK4(sK15(X0,sK3)) = sK5(sK15(X0,sK3))
| sK10(X0) = sK11(X0)
| ~ ordinal(sK4(sK15(X0,sK3)))
| ~ in(sK4(sK15(X0,sK3)),sK2) ),
inference(forward_subsumption_resolution,[],[f6907,f49]) ).
fof(f6914,plain,
! [X0] :
( ~ in(sK4(sK15(X0,sK3)),sK2)
| sK10(X0) = sK11(X0)
| sK4(sK15(X0,sK3)) = sK5(sK15(X0,sK3)) ),
inference(forward_subsumption_resolution,[],[f6913,f1307]) ).
fof(f7190,plain,
! [X0] :
( sK4(sK15(X0,sK3)) = sK5(sK15(X0,sK3))
| sK10(X0) = sK12(X0)
| ~ ordinal(sK4(sK15(X0,sK3)))
| ~ in(sK4(sK15(X0,sK3)),sK2)
| ~ in(sK4(sK15(X0,sK3)),sK15(X0,sK3)) ),
inference(resolution,[],[f5281,f95]) ).
fof(f7196,plain,
! [X0] :
( sK4(sK15(X0,sK3)) = sK5(sK15(X0,sK3))
| sK10(X0) = sK12(X0)
| ~ ordinal(sK4(sK15(X0,sK3)))
| ~ in(sK4(sK15(X0,sK3)),sK2) ),
inference(forward_subsumption_resolution,[],[f7190,f49]) ).
fof(f7197,plain,
! [X0] :
( ~ in(sK4(sK15(X0,sK3)),sK2)
| sK10(X0) = sK12(X0)
| sK4(sK15(X0,sK3)) = sK5(sK15(X0,sK3)) ),
inference(forward_subsumption_resolution,[],[f7196,f1932]) ).
fof(f7940,plain,
( sK10(sK2) = sK11(sK2)
| sK4(sK15(sK2,sK3)) = sK5(sK15(sK2,sK3))
| sK4(sK15(sK2,sK3)) = sK5(sK15(sK2,sK3))
| sK10(sK2) = sK11(sK2) ),
inference(resolution,[],[f6914,f1301]) ).
fof(f7941,plain,
( sK4(sK15(sK2,sK3)) = sK5(sK15(sK2,sK3))
| sK10(sK2) = sK11(sK2) ),
inference(duplicate_literal_removal,[],[f7940]) ).
fof(f8004,plain,
( in(sK4(sK15(sK2,sK3)),sK2)
| sP1(sK2)
| ~ ordinal(sK3)
| sK4(sK15(sK2,sK3)) = sK17(sK2,sK4(sK15(sK2,sK3)))
| sK10(sK2) = sK11(sK2) ),
inference(superposition,[],[f164,f7941]) ).
fof(f8005,plain,
( ordinal(sK4(sK15(sK2,sK3)))
| sP1(sK2)
| ~ ordinal(sK3)
| sK4(sK15(sK2,sK3)) = sK17(sK2,sK4(sK15(sK2,sK3)))
| sK10(sK2) = sK11(sK2) ),
inference(superposition,[],[f165,f7941]) ).
fof(f8007,plain,
( ordinal(sK4(sK15(sK2,sK3)))
| sP1(sK2)
| ~ ordinal(sK3)
| sK4(sK15(sK2,sK3)) = sK16(sK2,sK3,sK4(sK15(sK2,sK3)))
| sK10(sK2) = sK11(sK2) ),
inference(superposition,[],[f172,f7941]) ).
fof(f8021,plain,
( ordinal(sK4(sK15(sK2,sK3)))
| ~ ordinal(sK3)
| sK4(sK15(sK2,sK3)) = sK16(sK2,sK3,sK4(sK15(sK2,sK3)))
| sK10(sK2) = sK11(sK2) ),
inference(forward_subsumption_resolution,[],[f8007,f79]) ).
fof(f8023,plain,
( ordinal(sK4(sK15(sK2,sK3)))
| ~ ordinal(sK3)
| sK4(sK15(sK2,sK3)) = sK17(sK2,sK4(sK15(sK2,sK3)))
| sK10(sK2) = sK11(sK2) ),
inference(forward_subsumption_resolution,[],[f8005,f79]) ).
fof(f8024,plain,
( in(sK4(sK15(sK2,sK3)),sK2)
| ~ ordinal(sK3)
| sK4(sK15(sK2,sK3)) = sK17(sK2,sK4(sK15(sK2,sK3)))
| sK10(sK2) = sK11(sK2) ),
inference(forward_subsumption_resolution,[],[f8004,f79]) ).
fof(f8031,plain,
( ordinal(sK4(sK15(sK2,sK3)))
| sK4(sK15(sK2,sK3)) = sK16(sK2,sK3,sK4(sK15(sK2,sK3)))
| sK10(sK2) = sK11(sK2) ),
inference(forward_subsumption_resolution,[],[f8021,f47]) ).
fof(f8033,plain,
( ordinal(sK4(sK15(sK2,sK3)))
| sK4(sK15(sK2,sK3)) = sK17(sK2,sK4(sK15(sK2,sK3)))
| sK10(sK2) = sK11(sK2) ),
inference(forward_subsumption_resolution,[],[f8023,f47]) ).
fof(f8034,plain,
( in(sK4(sK15(sK2,sK3)),sK2)
| sK4(sK15(sK2,sK3)) = sK17(sK2,sK4(sK15(sK2,sK3)))
| sK10(sK2) = sK11(sK2) ),
inference(forward_subsumption_resolution,[],[f8024,f47]) ).
fof(f9167,plain,
( sK10(sK2) = sK12(sK2)
| sK4(sK15(sK2,sK3)) = sK5(sK15(sK2,sK3))
| sK4(sK15(sK2,sK3)) = sK5(sK15(sK2,sK3))
| sK10(sK2) = sK12(sK2) ),
inference(resolution,[],[f7197,f1926]) ).
fof(f9172,plain,
( sK4(sK15(sK2,sK3)) = sK5(sK15(sK2,sK3))
| sK10(sK2) = sK12(sK2) ),
inference(duplicate_literal_removal,[],[f9167]) ).
fof(f9191,plain,
( in(sK4(sK15(sK2,sK3)),sK2)
| sP1(sK2)
| ~ ordinal(sK3)
| sK4(sK15(sK2,sK3)) = sK17(sK2,sK4(sK15(sK2,sK3)))
| sK10(sK2) = sK12(sK2) ),
inference(superposition,[],[f164,f9172]) ).
fof(f9192,plain,
( ordinal(sK4(sK15(sK2,sK3)))
| sP1(sK2)
| ~ ordinal(sK3)
| sK4(sK15(sK2,sK3)) = sK17(sK2,sK4(sK15(sK2,sK3)))
| sK10(sK2) = sK12(sK2) ),
inference(superposition,[],[f165,f9172]) ).
fof(f9210,plain,
( ordinal(sK4(sK15(sK2,sK3)))
| ~ ordinal(sK3)
| sK4(sK15(sK2,sK3)) = sK17(sK2,sK4(sK15(sK2,sK3)))
| sK10(sK2) = sK12(sK2) ),
inference(forward_subsumption_resolution,[],[f9192,f75]) ).
fof(f9211,plain,
( in(sK4(sK15(sK2,sK3)),sK2)
| ~ ordinal(sK3)
| sK4(sK15(sK2,sK3)) = sK17(sK2,sK4(sK15(sK2,sK3)))
| sK10(sK2) = sK12(sK2) ),
inference(forward_subsumption_resolution,[],[f9191,f75]) ).
fof(f9220,plain,
( ordinal(sK4(sK15(sK2,sK3)))
| sK4(sK15(sK2,sK3)) = sK17(sK2,sK4(sK15(sK2,sK3)))
| sK10(sK2) = sK12(sK2) ),
inference(forward_subsumption_resolution,[],[f9210,f47]) ).
fof(f9221,plain,
( in(sK4(sK15(sK2,sK3)),sK2)
| sK4(sK15(sK2,sK3)) = sK17(sK2,sK4(sK15(sK2,sK3)))
| sK10(sK2) = sK12(sK2) ),
inference(forward_subsumption_resolution,[],[f9211,f47]) ).
fof(f15330,plain,
( sK4(sK15(sK2,sK3)) = sK17(sK2,sK4(sK15(sK2,sK3)))
| sK10(sK2) = sK11(sK2)
| ~ ordinal(sK4(sK15(sK2,sK3)))
| sP1(sK2)
| sK4(sK15(sK2,sK3)) = sK17(sK2,sK4(sK15(sK2,sK3)))
| sP1(sK2)
| ~ ordinal(sK3)
| sK4(sK15(sK2,sK3)) = sK17(sK2,sK4(sK15(sK2,sK3))) ),
inference(resolution,[],[f8034,f370]) ).
fof(f15332,plain,
( sK4(sK15(sK2,sK3)) = sK17(sK2,sK4(sK15(sK2,sK3)))
| sK10(sK2) = sK11(sK2)
| ~ ordinal(sK4(sK15(sK2,sK3)))
| sP1(sK2)
| ~ ordinal(sK3) ),
inference(duplicate_literal_removal,[],[f15330]) ).
fof(f15338,plain,
( sK4(sK15(sK2,sK3)) = sK17(sK2,sK4(sK15(sK2,sK3)))
| sK10(sK2) = sK11(sK2)
| ~ ordinal(sK4(sK15(sK2,sK3)))
| ~ ordinal(sK3) ),
inference(forward_subsumption_resolution,[],[f15332,f79]) ).
fof(f15344,plain,
( sK4(sK15(sK2,sK3)) = sK17(sK2,sK4(sK15(sK2,sK3)))
| sK10(sK2) = sK11(sK2)
| ~ ordinal(sK3) ),
inference(forward_subsumption_resolution,[],[f15338,f8033]) ).
fof(f15350,plain,
( sK4(sK15(sK2,sK3)) = sK17(sK2,sK4(sK15(sK2,sK3)))
| sK10(sK2) = sK11(sK2) ),
inference(forward_subsumption_resolution,[],[f15344,f47]) ).
fof(f15468,plain,
( ordinal(sK4(sK15(sK2,sK3)))
| sP1(sK2)
| ~ ordinal(sK3)
| ordinal(sK5(sK15(sK2,sK3)))
| sK10(sK2) = sK11(sK2) ),
inference(superposition,[],[f151,f15350]) ).
fof(f15473,plain,
( in(sK4(sK15(sK2,sK3)),sK2)
| sP1(sK2)
| ~ ordinal(sK3)
| in(sK5(sK15(sK2,sK3)),sK2)
| sK10(sK2) = sK11(sK2) ),
inference(superposition,[],[f158,f15350]) ).
fof(f15505,plain,
( in(sK4(sK15(sK2,sK3)),sK2)
| ~ ordinal(sK3)
| in(sK5(sK15(sK2,sK3)),sK2)
| sK10(sK2) = sK11(sK2) ),
inference(forward_subsumption_resolution,[],[f15473,f79]) ).
fof(f15509,plain,
( ordinal(sK4(sK15(sK2,sK3)))
| ~ ordinal(sK3)
| ordinal(sK5(sK15(sK2,sK3)))
| sK10(sK2) = sK11(sK2) ),
inference(forward_subsumption_resolution,[],[f15468,f79]) ).
fof(f15519,plain,
( in(sK5(sK15(sK2,sK3)),sK2)
| in(sK4(sK15(sK2,sK3)),sK2)
| sK10(sK2) = sK11(sK2) ),
inference(forward_subsumption_resolution,[],[f15505,f47]) ).
fof(f15523,plain,
( ordinal(sK5(sK15(sK2,sK3)))
| ordinal(sK4(sK15(sK2,sK3)))
| sK10(sK2) = sK11(sK2) ),
inference(forward_subsumption_resolution,[],[f15509,f47]) ).
fof(f15871,plain,
( ordinal(sK4(sK15(sK2,sK3)))
| ordinal(sK4(sK15(sK2,sK3)))
| sK10(sK2) = sK11(sK2)
| sK10(sK2) = sK11(sK2) ),
inference(superposition,[],[f15523,f7941]) ).
fof(f15872,plain,
( ordinal(sK4(sK15(sK2,sK3)))
| sK10(sK2) = sK11(sK2) ),
inference(duplicate_literal_removal,[],[f15871]) ).
fof(f16638,plain,
( in(sK4(sK15(sK2,sK3)),sK2)
| in(sK4(sK15(sK2,sK3)),sK2)
| sK10(sK2) = sK11(sK2)
| sK10(sK2) = sK11(sK2) ),
inference(superposition,[],[f15519,f7941]) ).
fof(f16639,plain,
( in(sK4(sK15(sK2,sK3)),sK2)
| sK10(sK2) = sK11(sK2) ),
inference(duplicate_literal_removal,[],[f16638]) ).
fof(f16666,plain,
( sK10(sK2) = sK11(sK2)
| ~ ordinal(sK4(sK15(sK2,sK3)))
| sP1(sK2)
| sK4(sK15(sK2,sK3)) = sK16(sK2,sK3,sK4(sK15(sK2,sK3)))
| sP1(sK2)
| ~ ordinal(sK3)
| sK4(sK15(sK2,sK3)) = sK16(sK2,sK3,sK4(sK15(sK2,sK3))) ),
inference(resolution,[],[f16639,f424]) ).
fof(f16674,plain,
( sK10(sK2) = sK11(sK2)
| ~ ordinal(sK4(sK15(sK2,sK3)))
| sP1(sK2)
| sK4(sK15(sK2,sK3)) = sK16(sK2,sK3,sK4(sK15(sK2,sK3)))
| ~ ordinal(sK3) ),
inference(duplicate_literal_removal,[],[f16666]) ).
fof(f16679,plain,
( sK10(sK2) = sK11(sK2)
| ~ ordinal(sK4(sK15(sK2,sK3)))
| sK4(sK15(sK2,sK3)) = sK16(sK2,sK3,sK4(sK15(sK2,sK3)))
| ~ ordinal(sK3) ),
inference(forward_subsumption_resolution,[],[f16674,f79]) ).
fof(f16683,plain,
( sK10(sK2) = sK11(sK2)
| sK4(sK15(sK2,sK3)) = sK16(sK2,sK3,sK4(sK15(sK2,sK3)))
| ~ ordinal(sK3) ),
inference(forward_subsumption_resolution,[],[f16679,f8031]) ).
fof(f16685,plain,
( sK4(sK15(sK2,sK3)) = sK16(sK2,sK3,sK4(sK15(sK2,sK3)))
| sK10(sK2) = sK11(sK2) ),
inference(forward_subsumption_resolution,[],[f16683,f47]) ).
fof(f16753,plain,
( in(sK4(sK15(sK2,sK3)),sF18)
| ~ in(sK4(sK15(sK2,sK3)),sK15(sK2,sK3))
| sP1(sK2)
| sK10(sK2) = sK11(sK2) ),
inference(superposition,[],[f179,f16685]) ).
fof(f16766,plain,
( in(sK4(sK15(sK2,sK3)),sF18)
| ~ in(sK4(sK15(sK2,sK3)),sK15(sK2,sK3))
| sK10(sK2) = sK11(sK2) ),
inference(forward_subsumption_resolution,[],[f16753,f79]) ).
fof(f16776,plain,
( in(sK4(sK15(sK2,sK3)),sF18)
| sK10(sK2) = sK11(sK2) ),
inference(forward_subsumption_resolution,[],[f16766,f96]) ).
fof(f16823,plain,
( sK10(sK2) = sK11(sK2)
| ~ ordinal(sK4(sK15(sK2,sK3)))
| ~ in(sK4(sK15(sK2,sK3)),sK2)
| ~ in(sK4(sK15(sK2,sK3)),sK15(sK2,sK3)) ),
inference(resolution,[],[f16776,f95]) ).
fof(f16851,plain,
( sK10(sK2) = sK11(sK2)
| ~ in(sK4(sK15(sK2,sK3)),sK2)
| ~ in(sK4(sK15(sK2,sK3)),sK15(sK2,sK3)) ),
inference(forward_subsumption_resolution,[],[f16823,f15872]) ).
fof(f16852,plain,
( ~ in(sK4(sK15(sK2,sK3)),sK15(sK2,sK3))
| sK10(sK2) = sK11(sK2) ),
inference(forward_subsumption_resolution,[],[f16851,f16639]) ).
fof(f16938,plain,
( sK10(sK2) = sK11(sK2)
| ~ in(sK4(sK15(sK2,sK3)),succ(sK3))
| ~ ordinal(sK4(sK15(sK2,sK3)))
| ~ in(sK4(sK15(sK2,sK3)),sK2)
| sP1(sK2)
| ~ ordinal(sK3) ),
inference(resolution,[],[f16852,f92]) ).
fof(f16940,plain,
( sK10(sK2) = sK11(sK2)
| ~ in(sK4(sK15(sK2,sK3)),succ(sK3))
| ~ ordinal(sK4(sK15(sK2,sK3)))
| ~ in(sK4(sK15(sK2,sK3)),sK2)
| ~ ordinal(sK3) ),
inference(forward_subsumption_resolution,[],[f16938,f79]) ).
fof(f16943,plain,
( sK10(sK2) = sK11(sK2)
| ~ in(sK4(sK15(sK2,sK3)),succ(sK3))
| ~ in(sK4(sK15(sK2,sK3)),sK2)
| ~ ordinal(sK3) ),
inference(forward_subsumption_resolution,[],[f16940,f15872]) ).
fof(f16944,plain,
( sK10(sK2) = sK11(sK2)
| ~ in(sK4(sK15(sK2,sK3)),succ(sK3))
| ~ ordinal(sK3) ),
inference(forward_subsumption_resolution,[],[f16943,f16639]) ).
fof(f16945,plain,
( sK10(sK2) = sK11(sK2)
| ~ in(sK4(sK15(sK2,sK3)),succ(sK3)) ),
inference(forward_subsumption_resolution,[],[f16944,f47]) ).
fof(f16946,plain,
( ~ in(sK4(sK15(sK2,sK3)),sF18)
| sK10(sK2) = sK11(sK2) ),
inference(forward_demodulation,[],[f16945,f94]) ).
fof(f16947,plain,
sK10(sK2) = sK11(sK2),
inference(forward_subsumption_resolution,[],[f16946,f16776]) ).
fof(f20366,plain,
( sK4(sK15(sK2,sK3)) = sK17(sK2,sK4(sK15(sK2,sK3)))
| sK10(sK2) = sK12(sK2)
| ~ ordinal(sK4(sK15(sK2,sK3)))
| sP1(sK2)
| sK4(sK15(sK2,sK3)) = sK17(sK2,sK4(sK15(sK2,sK3)))
| sP1(sK2)
| ~ ordinal(sK3)
| sK4(sK15(sK2,sK3)) = sK17(sK2,sK4(sK15(sK2,sK3))) ),
inference(resolution,[],[f9221,f370]) ).
fof(f20368,plain,
( sK4(sK15(sK2,sK3)) = sK17(sK2,sK4(sK15(sK2,sK3)))
| sK10(sK2) = sK12(sK2)
| ~ ordinal(sK4(sK15(sK2,sK3)))
| sP1(sK2)
| ~ ordinal(sK3) ),
inference(duplicate_literal_removal,[],[f20366]) ).
fof(f20374,plain,
( sK4(sK15(sK2,sK3)) = sK17(sK2,sK4(sK15(sK2,sK3)))
| sK10(sK2) = sK12(sK2)
| ~ ordinal(sK4(sK15(sK2,sK3)))
| ~ ordinal(sK3) ),
inference(forward_subsumption_resolution,[],[f20368,f75]) ).
fof(f20380,plain,
( sK4(sK15(sK2,sK3)) = sK17(sK2,sK4(sK15(sK2,sK3)))
| sK10(sK2) = sK12(sK2)
| ~ ordinal(sK3) ),
inference(forward_subsumption_resolution,[],[f20374,f9220]) ).
fof(f20386,plain,
( sK4(sK15(sK2,sK3)) = sK17(sK2,sK4(sK15(sK2,sK3)))
| sK10(sK2) = sK12(sK2) ),
inference(forward_subsumption_resolution,[],[f20380,f47]) ).
fof(f20392,plain,
( sK4(sK15(sK2,sK3)) = sK17(sK2,sK4(sK15(sK2,sK3)))
| sK11(sK2) = sK12(sK2) ),
inference(forward_demodulation,[],[f20386,f16947]) ).
fof(f20453,plain,
( ordinal(sK4(sK15(sK2,sK3)))
| sP1(sK2)
| ~ ordinal(sK3)
| ordinal(sK5(sK15(sK2,sK3)))
| sK11(sK2) = sK12(sK2) ),
inference(superposition,[],[f151,f20392]) ).
fof(f20458,plain,
( in(sK4(sK15(sK2,sK3)),sK2)
| sP1(sK2)
| ~ ordinal(sK3)
| in(sK5(sK15(sK2,sK3)),sK2)
| sK11(sK2) = sK12(sK2) ),
inference(superposition,[],[f158,f20392]) ).
fof(f20489,plain,
( in(sK5(sK15(sK2,sK3)),sK2)
| sP1(sK2)
| in(sK4(sK15(sK2,sK3)),sK2)
| sK11(sK2) = sK12(sK2) ),
inference(forward_subsumption_resolution,[],[f20458,f47]) ).
fof(f20494,plain,
( ordinal(sK5(sK15(sK2,sK3)))
| sP1(sK2)
| ordinal(sK4(sK15(sK2,sK3)))
| sK11(sK2) = sK12(sK2) ),
inference(forward_subsumption_resolution,[],[f20453,f47]) ).
fof(f20675,plain,
( ordinal(sK4(sK15(sK2,sK3)))
| sP1(sK2)
| ordinal(sK4(sK15(sK2,sK3)))
| sK11(sK2) = sK12(sK2)
| sK10(sK2) = sK12(sK2) ),
inference(superposition,[],[f20494,f9172]) ).
fof(f20680,plain,
( ordinal(sK4(sK15(sK2,sK3)))
| sP1(sK2)
| sK11(sK2) = sK12(sK2)
| sK10(sK2) = sK12(sK2) ),
inference(duplicate_literal_removal,[],[f20675]) ).
fof(f20683,plain,
( ordinal(sK4(sK15(sK2,sK3)))
| sK11(sK2) = sK12(sK2)
| sK10(sK2) = sK12(sK2) ),
inference(forward_subsumption_resolution,[],[f20680,f75]) ).
fof(f20684,plain,
( sK11(sK2) = sK12(sK2)
| ordinal(sK4(sK15(sK2,sK3)))
| sK11(sK2) = sK12(sK2) ),
inference(forward_demodulation,[],[f20683,f16947]) ).
fof(f20685,plain,
( ordinal(sK4(sK15(sK2,sK3)))
| sK11(sK2) = sK12(sK2) ),
inference(duplicate_literal_removal,[],[f20684]) ).
fof(f21778,plain,
( in(sK4(sK15(sK2,sK3)),sK2)
| sP1(sK2)
| in(sK4(sK15(sK2,sK3)),sK2)
| sK11(sK2) = sK12(sK2)
| sK10(sK2) = sK12(sK2) ),
inference(superposition,[],[f20489,f9172]) ).
fof(f21783,plain,
( in(sK4(sK15(sK2,sK3)),sK2)
| sP1(sK2)
| sK11(sK2) = sK12(sK2)
| sK10(sK2) = sK12(sK2) ),
inference(duplicate_literal_removal,[],[f21778]) ).
fof(f21786,plain,
( in(sK4(sK15(sK2,sK3)),sK2)
| sK11(sK2) = sK12(sK2)
| sK10(sK2) = sK12(sK2) ),
inference(forward_subsumption_resolution,[],[f21783,f75]) ).
fof(f21787,plain,
( sK11(sK2) = sK12(sK2)
| in(sK4(sK15(sK2,sK3)),sK2)
| sK11(sK2) = sK12(sK2) ),
inference(forward_demodulation,[],[f21786,f16947]) ).
fof(f21788,plain,
( in(sK4(sK15(sK2,sK3)),sK2)
| sK11(sK2) = sK12(sK2) ),
inference(duplicate_literal_removal,[],[f21787]) ).
fof(f21836,plain,
( sK11(sK2) = sK12(sK2)
| ~ ordinal(sK4(sK15(sK2,sK3)))
| sP1(sK2)
| sK4(sK15(sK2,sK3)) = sK16(sK2,sK3,sK4(sK15(sK2,sK3)))
| sP1(sK2)
| ~ ordinal(sK3)
| sK4(sK15(sK2,sK3)) = sK16(sK2,sK3,sK4(sK15(sK2,sK3))) ),
inference(resolution,[],[f21788,f424]) ).
fof(f21844,plain,
( sK11(sK2) = sK12(sK2)
| ~ ordinal(sK4(sK15(sK2,sK3)))
| sP1(sK2)
| sK4(sK15(sK2,sK3)) = sK16(sK2,sK3,sK4(sK15(sK2,sK3)))
| ~ ordinal(sK3) ),
inference(duplicate_literal_removal,[],[f21836]) ).
fof(f21848,plain,
( sK11(sK2) = sK12(sK2)
| sP1(sK2)
| sK4(sK15(sK2,sK3)) = sK16(sK2,sK3,sK4(sK15(sK2,sK3)))
| ~ ordinal(sK3) ),
inference(forward_subsumption_resolution,[],[f21844,f20685]) ).
fof(f21851,plain,
( sP1(sK2)
| sK11(sK2) = sK12(sK2)
| sK4(sK15(sK2,sK3)) = sK16(sK2,sK3,sK4(sK15(sK2,sK3))) ),
inference(forward_subsumption_resolution,[],[f21848,f47]) ).
fof(f22004,plain,
( sK11(sK2) = sK12(sK2)
| sK4(sK15(sK2,sK3)) = sK16(sK2,sK3,sK4(sK15(sK2,sK3)))
| sK10(sK2) = sK12(sK2) ),
inference(resolution,[],[f21851,f75]) ).
fof(f22022,plain,
( sK11(sK2) = sK12(sK2)
| sK11(sK2) = sK12(sK2)
| sK4(sK15(sK2,sK3)) = sK16(sK2,sK3,sK4(sK15(sK2,sK3))) ),
inference(forward_demodulation,[],[f22004,f16947]) ).
fof(f22023,plain,
( sK4(sK15(sK2,sK3)) = sK16(sK2,sK3,sK4(sK15(sK2,sK3)))
| sK11(sK2) = sK12(sK2) ),
inference(duplicate_literal_removal,[],[f22022]) ).
fof(f22155,plain,
( in(sK4(sK15(sK2,sK3)),sF18)
| ~ in(sK4(sK15(sK2,sK3)),sK15(sK2,sK3))
| sP1(sK2)
| sK11(sK2) = sK12(sK2) ),
inference(superposition,[],[f179,f22023]) ).
fof(f22172,plain,
( in(sK4(sK15(sK2,sK3)),sF18)
| sP1(sK2)
| sK11(sK2) = sK12(sK2) ),
inference(forward_subsumption_resolution,[],[f22155,f96]) ).
fof(f22308,plain,
( sP1(sK2)
| sK11(sK2) = sK12(sK2)
| ~ ordinal(sK4(sK15(sK2,sK3)))
| ~ in(sK4(sK15(sK2,sK3)),sK2)
| ~ in(sK4(sK15(sK2,sK3)),sK15(sK2,sK3)) ),
inference(resolution,[],[f22172,f95]) ).
fof(f22342,plain,
( sP1(sK2)
| sK11(sK2) = sK12(sK2)
| ~ in(sK4(sK15(sK2,sK3)),sK2)
| ~ in(sK4(sK15(sK2,sK3)),sK15(sK2,sK3)) ),
inference(forward_subsumption_resolution,[],[f22308,f20685]) ).
fof(f22343,plain,
( ~ in(sK4(sK15(sK2,sK3)),sK15(sK2,sK3))
| sK11(sK2) = sK12(sK2)
| sP1(sK2) ),
inference(forward_subsumption_resolution,[],[f22342,f21788]) ).
fof(f22599,plain,
( sK11(sK2) = sK12(sK2)
| sP1(sK2)
| ~ in(sK4(sK15(sK2,sK3)),succ(sK3))
| ~ ordinal(sK4(sK15(sK2,sK3)))
| ~ in(sK4(sK15(sK2,sK3)),sK2)
| sP1(sK2)
| ~ ordinal(sK3) ),
inference(resolution,[],[f22343,f92]) ).
fof(f22600,plain,
( sK11(sK2) = sK12(sK2)
| sP1(sK2)
| ~ in(sK4(sK15(sK2,sK3)),succ(sK3))
| ~ ordinal(sK4(sK15(sK2,sK3)))
| ~ in(sK4(sK15(sK2,sK3)),sK2)
| ~ ordinal(sK3) ),
inference(duplicate_literal_removal,[],[f22599]) ).
fof(f22601,plain,
( sK11(sK2) = sK12(sK2)
| sP1(sK2)
| ~ in(sK4(sK15(sK2,sK3)),succ(sK3))
| ~ in(sK4(sK15(sK2,sK3)),sK2)
| ~ ordinal(sK3) ),
inference(forward_subsumption_resolution,[],[f22600,f20685]) ).
fof(f22604,plain,
( sK11(sK2) = sK12(sK2)
| sP1(sK2)
| ~ in(sK4(sK15(sK2,sK3)),succ(sK3))
| ~ ordinal(sK3) ),
inference(forward_subsumption_resolution,[],[f22601,f21788]) ).
fof(f22605,plain,
( sK11(sK2) = sK12(sK2)
| sP1(sK2)
| ~ in(sK4(sK15(sK2,sK3)),succ(sK3)) ),
inference(forward_subsumption_resolution,[],[f22604,f47]) ).
fof(f22606,plain,
( ~ in(sK4(sK15(sK2,sK3)),sF18)
| sK11(sK2) = sK12(sK2)
| sP1(sK2) ),
inference(forward_demodulation,[],[f22605,f94]) ).
fof(f22607,plain,
( sP1(sK2)
| sK11(sK2) = sK12(sK2) ),
inference(forward_subsumption_resolution,[],[f22606,f22172]) ).
fof(f22730,plain,
( sK11(sK2) = sK12(sK2)
| sK10(sK2) = sK12(sK2) ),
inference(resolution,[],[f22607,f75]) ).
fof(f22748,plain,
( sK11(sK2) = sK12(sK2)
| sK11(sK2) = sK12(sK2) ),
inference(forward_demodulation,[],[f22730,f16947]) ).
fof(f22749,plain,
sK11(sK2) = sK12(sK2),
inference(duplicate_literal_removal,[],[f22748]) ).
fof(f22893,plain,
( sK11(sK2) != sK11(sK2)
| ~ sP1(sK2) ),
inference(superposition,[],[f80,f22749]) ).
fof(f22895,plain,
~ sP1(sK2),
inference(trivial_inequality_removal,[],[f22893]) ).
fof(f23021,plain,
( sK4(sK15(sK2,sK3)) = sK17(sK2,sK4(sK15(sK2,sK3)))
| sK4(sK15(sK2,sK3)) = sK5(sK15(sK2,sK3)) ),
inference(resolution,[],[f22895,f228]) ).
fof(f23026,plain,
( sK4(sK15(sK2,sK3)) = sK16(sK2,sK3,sK4(sK15(sK2,sK3)))
| sK4(sK15(sK2,sK3)) = sK5(sK15(sK2,sK3)) ),
inference(resolution,[],[f22895,f243]) ).
fof(f24639,plain,
( ordinal(sK4(sK15(sK2,sK3)))
| sP1(sK2)
| ~ ordinal(sK3)
| sK4(sK15(sK2,sK3)) = sK5(sK15(sK2,sK3))
| sK4(sK15(sK2,sK3)) = sK5(sK15(sK2,sK3)) ),
inference(superposition,[],[f148,f23021]) ).
fof(f24645,plain,
( in(sK4(sK15(sK2,sK3)),sK2)
| sP1(sK2)
| ~ ordinal(sK3)
| sK4(sK15(sK2,sK3)) = sK5(sK15(sK2,sK3))
| sK4(sK15(sK2,sK3)) = sK5(sK15(sK2,sK3)) ),
inference(superposition,[],[f156,f23021]) ).
fof(f24667,plain,
( in(sK4(sK15(sK2,sK3)),sK2)
| sP1(sK2)
| ~ ordinal(sK3)
| sK4(sK15(sK2,sK3)) = sK5(sK15(sK2,sK3)) ),
inference(duplicate_literal_removal,[],[f24645]) ).
fof(f24668,plain,
( ordinal(sK4(sK15(sK2,sK3)))
| sP1(sK2)
| ~ ordinal(sK3)
| sK4(sK15(sK2,sK3)) = sK5(sK15(sK2,sK3)) ),
inference(duplicate_literal_removal,[],[f24639]) ).
fof(f24685,plain,
( in(sK4(sK15(sK2,sK3)),sK2)
| ~ ordinal(sK3)
| sK4(sK15(sK2,sK3)) = sK5(sK15(sK2,sK3)) ),
inference(forward_subsumption_resolution,[],[f24667,f22895]) ).
fof(f24691,plain,
( ordinal(sK4(sK15(sK2,sK3)))
| ~ ordinal(sK3)
| sK4(sK15(sK2,sK3)) = sK5(sK15(sK2,sK3)) ),
inference(forward_subsumption_resolution,[],[f24668,f22895]) ).
fof(f24705,plain,
( in(sK4(sK15(sK2,sK3)),sK2)
| sK4(sK15(sK2,sK3)) = sK5(sK15(sK2,sK3)) ),
inference(forward_subsumption_resolution,[],[f24685,f47]) ).
fof(f24711,plain,
( ordinal(sK4(sK15(sK2,sK3)))
| sK4(sK15(sK2,sK3)) = sK5(sK15(sK2,sK3)) ),
inference(forward_subsumption_resolution,[],[f24691,f47]) ).
fof(f30836,plain,
( in(sK4(sK15(sK2,sK3)),sF18)
| ~ in(sK4(sK15(sK2,sK3)),sK15(sK2,sK3))
| sP1(sK2)
| sK4(sK15(sK2,sK3)) = sK5(sK15(sK2,sK3)) ),
inference(superposition,[],[f179,f23026]) ).
fof(f30853,plain,
( in(sK4(sK15(sK2,sK3)),sF18)
| sP1(sK2)
| sK4(sK15(sK2,sK3)) = sK5(sK15(sK2,sK3)) ),
inference(forward_subsumption_resolution,[],[f30836,f49]) ).
fof(f30865,plain,
( in(sK4(sK15(sK2,sK3)),sF18)
| sK4(sK15(sK2,sK3)) = sK5(sK15(sK2,sK3)) ),
inference(forward_subsumption_resolution,[],[f30853,f22895]) ).
fof(f30944,plain,
( sK4(sK15(sK2,sK3)) = sK5(sK15(sK2,sK3))
| ~ ordinal(sK4(sK15(sK2,sK3)))
| ~ in(sK4(sK15(sK2,sK3)),sK2)
| ~ in(sK4(sK15(sK2,sK3)),sK15(sK2,sK3)) ),
inference(resolution,[],[f30865,f95]) ).
fof(f30970,plain,
( sK4(sK15(sK2,sK3)) = sK5(sK15(sK2,sK3))
| ~ ordinal(sK4(sK15(sK2,sK3)))
| ~ in(sK4(sK15(sK2,sK3)),sK2) ),
inference(forward_subsumption_resolution,[],[f30944,f49]) ).
fof(f30971,plain,
( sK4(sK15(sK2,sK3)) = sK5(sK15(sK2,sK3))
| ~ in(sK4(sK15(sK2,sK3)),sK2) ),
inference(forward_subsumption_resolution,[],[f30970,f24711]) ).
fof(f30972,plain,
sK4(sK15(sK2,sK3)) = sK5(sK15(sK2,sK3)),
inference(forward_subsumption_resolution,[],[f30971,f24705]) ).
fof(f31056,plain,
( in(sK4(sK15(sK2,sK3)),sK2)
| sP1(sK2)
| ~ ordinal(sK3)
| sK4(sK15(sK2,sK3)) = sK17(sK2,sK4(sK15(sK2,sK3))) ),
inference(superposition,[],[f164,f30972]) ).
fof(f31057,plain,
( ordinal(sK4(sK15(sK2,sK3)))
| sP1(sK2)
| ~ ordinal(sK3)
| sK4(sK15(sK2,sK3)) = sK17(sK2,sK4(sK15(sK2,sK3))) ),
inference(superposition,[],[f165,f30972]) ).
fof(f31059,plain,
( ordinal(sK4(sK15(sK2,sK3)))
| sP1(sK2)
| ~ ordinal(sK3)
| sK4(sK15(sK2,sK3)) = sK16(sK2,sK3,sK4(sK15(sK2,sK3))) ),
inference(superposition,[],[f172,f30972]) ).
fof(f31079,plain,
( ordinal(sK4(sK15(sK2,sK3)))
| ~ ordinal(sK3)
| sK4(sK15(sK2,sK3)) = sK16(sK2,sK3,sK4(sK15(sK2,sK3))) ),
inference(forward_subsumption_resolution,[],[f31059,f22895]) ).
fof(f31081,plain,
( ordinal(sK4(sK15(sK2,sK3)))
| ~ ordinal(sK3)
| sK4(sK15(sK2,sK3)) = sK17(sK2,sK4(sK15(sK2,sK3))) ),
inference(forward_subsumption_resolution,[],[f31057,f22895]) ).
fof(f31082,plain,
( in(sK4(sK15(sK2,sK3)),sK2)
| ~ ordinal(sK3)
| sK4(sK15(sK2,sK3)) = sK17(sK2,sK4(sK15(sK2,sK3))) ),
inference(forward_subsumption_resolution,[],[f31056,f22895]) ).
fof(f31096,plain,
( ordinal(sK4(sK15(sK2,sK3)))
| sK4(sK15(sK2,sK3)) = sK16(sK2,sK3,sK4(sK15(sK2,sK3))) ),
inference(forward_subsumption_resolution,[],[f31079,f47]) ).
fof(f31098,plain,
( ordinal(sK4(sK15(sK2,sK3)))
| sK4(sK15(sK2,sK3)) = sK17(sK2,sK4(sK15(sK2,sK3))) ),
inference(forward_subsumption_resolution,[],[f31081,f47]) ).
fof(f31099,plain,
( in(sK4(sK15(sK2,sK3)),sK2)
| sK4(sK15(sK2,sK3)) = sK17(sK2,sK4(sK15(sK2,sK3))) ),
inference(forward_subsumption_resolution,[],[f31082,f47]) ).
fof(f32620,plain,
( sK4(sK15(sK2,sK3)) = sK17(sK2,sK4(sK15(sK2,sK3)))
| ~ ordinal(sK4(sK15(sK2,sK3)))
| sP1(sK2)
| sK4(sK15(sK2,sK3)) = sK17(sK2,sK4(sK15(sK2,sK3)))
| sP1(sK2)
| ~ ordinal(sK3)
| sK4(sK15(sK2,sK3)) = sK17(sK2,sK4(sK15(sK2,sK3))) ),
inference(resolution,[],[f31099,f370]) ).
fof(f32622,plain,
( sK4(sK15(sK2,sK3)) = sK17(sK2,sK4(sK15(sK2,sK3)))
| ~ ordinal(sK4(sK15(sK2,sK3)))
| sP1(sK2)
| ~ ordinal(sK3) ),
inference(duplicate_literal_removal,[],[f32620]) ).
fof(f32627,plain,
( sK4(sK15(sK2,sK3)) = sK17(sK2,sK4(sK15(sK2,sK3)))
| sP1(sK2)
| ~ ordinal(sK3) ),
inference(forward_subsumption_resolution,[],[f32622,f31098]) ).
fof(f32633,plain,
( sK4(sK15(sK2,sK3)) = sK17(sK2,sK4(sK15(sK2,sK3)))
| ~ ordinal(sK3) ),
inference(forward_subsumption_resolution,[],[f32627,f22895]) ).
fof(f32639,plain,
sK4(sK15(sK2,sK3)) = sK17(sK2,sK4(sK15(sK2,sK3))),
inference(forward_subsumption_resolution,[],[f32633,f47]) ).
fof(f32671,plain,
( ordinal(sK4(sK15(sK2,sK3)))
| sP1(sK2)
| ~ ordinal(sK3)
| ordinal(sK5(sK15(sK2,sK3))) ),
inference(superposition,[],[f151,f32639]) ).
fof(f32676,plain,
( in(sK4(sK15(sK2,sK3)),sK2)
| sP1(sK2)
| ~ ordinal(sK3)
| in(sK5(sK15(sK2,sK3)),sK2) ),
inference(superposition,[],[f158,f32639]) ).
fof(f32705,plain,
( in(sK4(sK15(sK2,sK3)),sK2)
| ~ ordinal(sK3)
| in(sK5(sK15(sK2,sK3)),sK2) ),
inference(forward_subsumption_resolution,[],[f32676,f22895]) ).
fof(f32709,plain,
( ordinal(sK4(sK15(sK2,sK3)))
| ~ ordinal(sK3)
| ordinal(sK5(sK15(sK2,sK3))) ),
inference(forward_subsumption_resolution,[],[f32671,f22895]) ).
fof(f32719,plain,
( in(sK4(sK15(sK2,sK3)),sK2)
| in(sK5(sK15(sK2,sK3)),sK2) ),
inference(forward_subsumption_resolution,[],[f32705,f47]) ).
fof(f32723,plain,
( ordinal(sK4(sK15(sK2,sK3)))
| ordinal(sK5(sK15(sK2,sK3))) ),
inference(forward_subsumption_resolution,[],[f32709,f47]) ).
fof(f32729,plain,
( in(sK4(sK15(sK2,sK3)),sK2)
| in(sK4(sK15(sK2,sK3)),sK2) ),
inference(forward_demodulation,[],[f32719,f30972]) ).
fof(f32730,plain,
in(sK4(sK15(sK2,sK3)),sK2),
inference(duplicate_literal_removal,[],[f32729]) ).
fof(f32733,plain,
( ordinal(sK4(sK15(sK2,sK3)))
| ordinal(sK4(sK15(sK2,sK3))) ),
inference(forward_demodulation,[],[f32723,f30972]) ).
fof(f32734,plain,
ordinal(sK4(sK15(sK2,sK3))),
inference(duplicate_literal_removal,[],[f32733]) ).
fof(f33122,plain,
( ~ ordinal(sK4(sK15(sK2,sK3)))
| sP1(sK2)
| sK4(sK15(sK2,sK3)) = sK16(sK2,sK3,sK4(sK15(sK2,sK3)))
| sP1(sK2)
| ~ ordinal(sK3)
| sK4(sK15(sK2,sK3)) = sK16(sK2,sK3,sK4(sK15(sK2,sK3))) ),
inference(resolution,[],[f32730,f424]) ).
fof(f33130,plain,
( ~ ordinal(sK4(sK15(sK2,sK3)))
| sP1(sK2)
| sK4(sK15(sK2,sK3)) = sK16(sK2,sK3,sK4(sK15(sK2,sK3)))
| ~ ordinal(sK3) ),
inference(duplicate_literal_removal,[],[f33122]) ).
fof(f33132,plain,
( sP1(sK2)
| sK4(sK15(sK2,sK3)) = sK16(sK2,sK3,sK4(sK15(sK2,sK3)))
| ~ ordinal(sK3) ),
inference(forward_subsumption_resolution,[],[f33130,f31096]) ).
fof(f33134,plain,
( sK4(sK15(sK2,sK3)) = sK16(sK2,sK3,sK4(sK15(sK2,sK3)))
| ~ ordinal(sK3) ),
inference(forward_subsumption_resolution,[],[f33132,f22895]) ).
fof(f33136,plain,
sK4(sK15(sK2,sK3)) = sK16(sK2,sK3,sK4(sK15(sK2,sK3))),
inference(forward_subsumption_resolution,[],[f33134,f47]) ).
fof(f34034,plain,
( in(sK4(sK15(sK2,sK3)),sF18)
| ~ in(sK4(sK15(sK2,sK3)),sK15(sK2,sK3))
| sP1(sK2) ),
inference(superposition,[],[f179,f33136]) ).
fof(f34049,plain,
( in(sK4(sK15(sK2,sK3)),sF18)
| sP1(sK2) ),
inference(forward_subsumption_resolution,[],[f34034,f96]) ).
fof(f34059,plain,
in(sK4(sK15(sK2,sK3)),sF18),
inference(forward_subsumption_resolution,[],[f34049,f22895]) ).
fof(f34081,plain,
( ~ ordinal(sK4(sK15(sK2,sK3)))
| ~ in(sK4(sK15(sK2,sK3)),sK2)
| ~ in(sK4(sK15(sK2,sK3)),sK15(sK2,sK3)) ),
inference(resolution,[],[f34059,f95]) ).
fof(f34105,plain,
( ~ in(sK4(sK15(sK2,sK3)),sK2)
| ~ in(sK4(sK15(sK2,sK3)),sK15(sK2,sK3)) ),
inference(forward_subsumption_resolution,[],[f34081,f32734]) ).
fof(f34106,plain,
~ in(sK4(sK15(sK2,sK3)),sK15(sK2,sK3)),
inference(forward_subsumption_resolution,[],[f34105,f32730]) ).
fof(f34286,plain,
( ~ in(sK4(sK15(sK2,sK3)),succ(sK3))
| ~ ordinal(sK4(sK15(sK2,sK3)))
| ~ in(sK4(sK15(sK2,sK3)),sK2)
| sP1(sK2)
| ~ ordinal(sK3) ),
inference(resolution,[],[f34106,f92]) ).
fof(f34287,plain,
( ~ in(sK4(sK15(sK2,sK3)),succ(sK3))
| ~ in(sK4(sK15(sK2,sK3)),sK2)
| sP1(sK2)
| ~ ordinal(sK3) ),
inference(forward_subsumption_resolution,[],[f34286,f32734]) ).
fof(f34292,plain,
( ~ in(sK4(sK15(sK2,sK3)),succ(sK3))
| sP1(sK2)
| ~ ordinal(sK3) ),
inference(forward_subsumption_resolution,[],[f34287,f32730]) ).
fof(f34293,plain,
( ~ in(sK4(sK15(sK2,sK3)),succ(sK3))
| ~ ordinal(sK3) ),
inference(forward_subsumption_resolution,[],[f34292,f22895]) ).
fof(f34294,plain,
~ in(sK4(sK15(sK2,sK3)),succ(sK3)),
inference(forward_subsumption_resolution,[],[f34293,f47]) ).
fof(f34295,plain,
~ in(sK4(sK15(sK2,sK3)),sF18),
inference(forward_demodulation,[],[f34294,f94]) ).
fof(f34296,plain,
$false,
inference(forward_subsumption_resolution,[],[f34295,f34059]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU272+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.39 % Computer : n026.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Mon Sep 28 04:28:27 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.42 Running first-order model finding
% 0.13/0.42 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.40/2.09 % (3458184)Will run a generic schedule for satisfiability detection.
% 11.40/2.09 % (3458192)dis+10_1_sil=32000:sp=arity:random_seed=1443604283:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 11.40/2.09 % (3458190)% WARNING: option uhcvi not known.
% 11.40/2.09 % (3458189)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1806619959_2999 on theBenchmark for (2999ds/0Mi)
% 11.40/2.09 % (3458190)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=777609114:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 11.40/2.09 % (3458191)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=87002448:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 11.40/2.09 % (3458193)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3191120109:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 11.40/2.09 % (3458194)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1061295371:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 11.40/2.09 % (3458195)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2949946278:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 11.40/2.09 % TRYING [1]
% 11.40/2.09 % TRYING [2]
% 11.40/2.09 % TRYING [3]
% 11.40/2.09 % TRYING [4]
% 11.40/2.09 % (3458192)Instruction limit reached!
% 11.40/2.09 % (3458192)------------------------------
% 11.40/2.09 % (3458192)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.40/2.09 % (3458192)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.40/2.09 % (3458192)CaDiCaL version: 2.1.3
% 11.40/2.09 % (3458192)Termination reason: Instruction limit
% 11.40/2.09 % (3458192)Termination phase: Saturation
% 11.40/2.09 % (3458192)Time elapsed: 0.035 s
% 11.40/2.09 % (3458192)Peak memory usage: 12 MB
% 11.40/2.09 % (3458192)Instructions burned: 105 (million)
% 11.40/2.09 % TRYING [5]
% 11.40/2.09 % (3458203)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2883512417:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 11.40/2.09 % TRYING [1]
% 11.40/2.09 % TRYING [2]
% 11.40/2.09 % TRYING [3]
% 11.40/2.09 % TRYING [4]
% 11.40/2.09 % (3458193)Instruction limit reached!
% 11.40/2.09 % (3458193)------------------------------
% 11.40/2.09 % (3458193)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.40/2.09 % (3458193)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.40/2.09 % (3458193)CaDiCaL version: 2.1.3
% 11.40/2.09 % (3458193)Termination reason: Instruction limit
% 11.40/2.09 % (3458193)Termination phase: Saturation
% 11.40/2.09 % (3458193)Time elapsed: 0.064 s
% 11.40/2.09 % (3458193)Peak memory usage: 12 MB
% 11.40/2.09 % (3458193)Instructions burned: 118 (million)
% 11.40/2.09 % (3458194)Instruction limit reached!
% 11.40/2.09 % (3458194)------------------------------
% 11.40/2.09 % (3458194)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.40/2.09 % (3458194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.40/2.09 % (3458194)CaDiCaL version: 2.1.3
% 11.40/2.09 % (3458194)Termination reason: Instruction limit
% 11.40/2.09 % (3458194)Termination phase: Saturation
% 11.40/2.09 % (3458194)Time elapsed: 0.076 s
% 11.40/2.09 % (3458194)Peak memory usage: 13 MB
% 11.40/2.09 % (3458194)Instructions burned: 136 (million)
% 11.40/2.09 % TRYING [5]
% 11.40/2.09 % TRYING [6]
% 11.40/2.09 % (3458205)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1175337863:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 11.40/2.09 % (3458206)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=322455729:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 11.40/2.09 % (3458195)Instruction limit reached!
% 11.40/2.09 % (3458195)------------------------------
% 11.40/2.09 % (3458195)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.40/2.09 % (3458195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.40/2.09 % (3458195)CaDiCaL version: 2.1.3
% 11.40/2.09 % (3458195)Termination reason: Instruction limit
% 11.40/2.09 % (3458195)Termination phase: Saturation
% 11.40/2.09 % (3458195)Time elapsed: 0.105 s
% 11.40/2.09 % (3458195)Peak memory usage: 14 MB
% 11.40/2.09 % (3458195)Instructions burned: 159 (million)
% 11.40/2.09 % (3458209)ott-21_1_sil=16000:fs=off:random_seed=4220925908:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 11.40/2.09 % (3458205)Instruction limit reached!
% 11.40/2.09 % (3458205)------------------------------
% 11.40/2.09 % (3458205)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.85/5.08 % (3458205)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.85/5.08 % (3458205)CaDiCaL version: 2.1.3
% 14.85/5.08 % (3458205)Termination reason: Instruction limit
% 14.85/5.08 % (3458205)Termination phase: Saturation
% 14.85/5.08 % (3458205)Time elapsed: 0.080 s
% 14.85/5.08 % (3458205)Peak memory usage: 13 MB
% 14.85/5.08 % (3458205)Instructions burned: 132 (million)
% 14.85/5.08 % TRYING [6]
% 14.85/5.08 % (3458211)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=297878763:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 14.85/5.08 % (3458209)Instruction limit reached!
% 14.85/5.08 % (3458209)------------------------------
% 14.85/5.08 % (3458209)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.85/5.08 % (3458209)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.85/5.08 % (3458209)CaDiCaL version: 2.1.3
% 14.85/5.08 % (3458209)Termination reason: Instruction limit
% 14.85/5.08 % (3458209)Termination phase: Saturation
% 14.85/5.08 % (3458209)Time elapsed: 0.087 s
% 14.85/5.08 % (3458209)Peak memory usage: 13 MB
% 14.85/5.08 % (3458209)Instructions burned: 181 (million)
% 14.85/5.08 % (3458213)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1601097035:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 14.85/5.08 % TRYING [1]
% 14.85/5.08 % TRYING [2]
% 14.85/5.08 % TRYING [3]
% 14.85/5.08 % TRYING [4]
% 14.85/5.08 % TRYING [7]
% 14.85/5.08 % TRYING [5]
% 14.85/5.08 % (3458203)Instruction limit reached!
% 14.85/5.08 % (3458203)------------------------------
% 14.85/5.08 % (3458203)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.85/5.08 % (3458203)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.85/5.08 % (3458203)CaDiCaL version: 2.1.3
% 14.85/5.08 % (3458203)Termination reason: Instruction limit
% 14.85/5.08 % (3458203)Termination phase: Finite model building SAT solving
% 14.85/5.08 % (3458203)Time elapsed: 0.233 s
% 14.85/5.08 % (3458203)Peak memory usage: 17 MB
% 14.85/5.08 % (3458203)Instructions burned: 719 (million)
% 14.85/5.08 % (3458215)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=537156183:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 14.85/5.08 % TRYING [6]
% 14.85/5.08 % (3458206)Instruction limit reached!
% 14.85/5.08 % (3458206)------------------------------
% 14.85/5.08 % (3458206)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.85/5.08 % (3458206)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.85/5.08 % (3458206)CaDiCaL version: 2.1.3
% 14.85/5.08 % (3458206)Termination reason: Instruction limit
% 14.85/5.08 % (3458206)Termination phase: Saturation
% 14.85/5.08 % (3458206)Time elapsed: 0.335 s
% 14.85/5.08 % (3458206)Peak memory usage: 15 MB
% 14.85/5.08 % (3458206)Instructions burned: 685 (million)
% 14.85/5.08 % (3458217)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2888586910:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 14.85/5.08 % TRYING [14]
% 14.85/5.08 % (3458211)Instruction limit reached!
% 14.85/5.08 % (3458211)------------------------------
% 14.85/5.08 % (3458211)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.85/5.08 % (3458211)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.85/5.08 % (3458211)CaDiCaL version: 2.1.3
% 14.85/5.08 % (3458211)Termination reason: Instruction limit
% 14.85/5.08 % (3458211)Termination phase: Saturation
% 14.85/5.08 % (3458211)Time elapsed: 0.325 s
% 14.85/5.08 % (3458211)Peak memory usage: 14 MB
% 14.85/5.08 % (3458211)Instructions burned: 477 (million)
% 14.85/5.08 % (3458219)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=814016763:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 14.85/5.08 % TRYING [7]
% 14.85/5.08 % (3458215)Instruction limit reached!
% 14.85/5.08 % (3458215)------------------------------
% 14.85/5.08 % (3458215)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.85/5.08 % (3458215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.85/5.08 % (3458215)CaDiCaL version: 2.1.3
% 14.85/5.08 % (3458215)Termination reason: Instruction limit
% 14.85/5.08 % (3458215)Termination phase: Saturation
% 14.85/5.08 % (3458215)Time elapsed: 0.318 s
% 14.85/5.08 % (3458215)Peak memory usage: 22 MB
% 14.85/5.08 % (3458215)Instructions burned: 1182 (million)
% 14.85/5.08 % (3458221)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3762247240:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 14.85/5.08 % (3458213)Instruction limit reached!
% 14.85/5.08 % (3458213)------------------------------
% 14.85/5.08 % (3458213)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.85/5.08 % (3458213)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.85/5.08 % (3458213)CaDiCaL version: 2.1.3
% 14.85/5.08 % (3458213)Termination reason: Instruction limit
% 14.85/5.08 % (3458213)Termination phase: Finite model building SAT solving
% 14.85/5.08 % (3458213)Time elapsed: 0.395 s
% 14.85/5.08 % (3458213)Peak memory usage: 16 MB
% 14.85/5.08 % (3458213)Instructions burned: 866 (million)
% 14.85/5.08 % (3458223)fmb+10_1_sil=64000:random_seed=1929299141:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 14.85/5.08 % TRYING [1]
% 14.85/5.08 % TRYING [2]
% 14.85/5.08 % TRYING [3]
% 14.85/5.08 % TRYING [4]
% 14.85/5.08 % TRYING [8]
% 14.85/5.08 % TRYING [5]
% 14.85/5.08 % TRYING [6]
% 14.85/5.08 % (3458217)Instruction limit reached!
% 14.85/5.08 % (3458217)------------------------------
% 14.85/5.08 % (3458217)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.85/5.08 % (3458217)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.85/5.08 % (3458217)CaDiCaL version: 2.1.3
% 14.85/5.08 % (3458217)Termination reason: Instruction limit
% 14.85/5.08 % (3458217)Termination phase: Finite model building constraint generation
% 14.85/5.08 % (3458217)Time elapsed: 0.407 s
% 14.85/5.08 % (3458217)Peak memory usage: 63 MB
% 14.85/5.08 % (3458217)Instructions burned: 891 (million)
% 14.85/5.08 % (3458225)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1061977792:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 14.85/5.08 % TRYING [20]
% 14.85/5.08 % (3458219)Instruction limit reached!
% 14.85/5.08 % (3458219)------------------------------
% 14.85/5.08 % (3458219)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.85/5.08 % (3458219)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.85/5.08 % (3458219)CaDiCaL version: 2.1.3
% 14.85/5.08 % (3458219)Termination reason: Instruction limit
% 14.85/5.08 % (3458219)Termination phase: Saturation
% 14.85/5.08 % (3458219)Time elapsed: 0.387 s
% 14.85/5.08 % (3458219)Peak memory usage: 16 MB
% 14.85/5.08 % (3458219)Instructions burned: 693 (million)
% 14.85/5.08 % (3458221)Instruction limit reached!
% 14.85/5.08 % (3458221)------------------------------
% 14.85/5.08 % (3458221)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.85/5.08 % (3458221)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.85/5.08 % (3458221)CaDiCaL version: 2.1.3
% 14.85/5.08 % (3458221)Termination reason: Instruction limit
% 14.85/5.08 % (3458221)Termination phase: Saturation
% 14.85/5.08 % (3458221)Time elapsed: 0.293 s
% 14.85/5.08 % (3458221)Peak memory usage: 18 MB
% 14.85/5.08 % (3458221)Instructions burned: 882 (million)
% 14.85/5.08 % (3458227)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1892586832:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 14.85/5.08 % TRYING [8]
% 14.85/5.08 % (3458228)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2139105041:i=5131_2990 on theBenchmark for (2990ds/5131Mi)
% 14.85/5.08 % TRYING [7]
% 14.85/5.08 % (3458227)Instruction limit reached!
% 14.85/5.08 % (3458227)------------------------------
% 14.85/5.08 % (3458227)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.85/5.08 % (3458227)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.85/5.08 % (3458227)CaDiCaL version: 2.1.3
% 14.85/5.08 % (3458227)Termination reason: Instruction limit
% 14.85/5.08 % (3458227)Termination phase: Finite model building SAT solving
% 14.85/5.08 % (3458227)Time elapsed: 0.235 s
% 14.85/5.08 % (3458227)Peak memory usage: 27 MB
% 14.85/5.08 % (3458227)Instructions burned: 926 (million)
% 14.85/5.08 % (3458231)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2956133666:i=1472:ins=7:fdi=8:gsp=on_2988 on theBenchmark for (2988ds/1472Mi)
% 14.85/5.08 % TRYING [8]
% 14.85/5.08 % (3458231)Instruction limit reached!
% 14.85/5.08 % (3458231)------------------------------
% 14.85/5.08 % (3458231)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.85/5.08 % (3458231)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.85/5.08 % (3458231)CaDiCaL version: 2.1.3
% 14.85/5.08 % (3458231)Termination reason: Instruction limit
% 14.85/5.08 % (3458231)Termination phase: Saturation
% 14.85/5.08 % (3458231)Time elapsed: 0.440 s
% 14.85/5.08 % (3458231)Peak memory usage: 19 MB
% 14.85/5.08 % (3458231)Instructions burned: 1475 (million)
% 14.85/5.08 % (3458233)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2671768157:i=6324_2983 on theBenchmark for (2983ds/6324Mi)
% 14.85/5.08 % TRYING [77]
% 14.85/5.08 % TRYING [9]
% 14.85/5.08 % TRYING [9]
% 14.85/5.08 % TRYING [10]
% 14.85/5.08 % (3458233)Instruction limit reached!
% 14.85/5.08 % (3458233)------------------------------
% 14.85/5.08 % (3458233)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.85/5.08 % (3458233)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.85/5.08 % (3458233)CaDiCaL version: 2.1.3
% 14.85/5.08 % (3458233)Termination reason: Instruction limit
% 14.85/5.08 % (3458233)Termination phase: Finite model building constraint generation
% 14.85/5.08 % (3458233)Time elapsed: 1.294 s
% 14.85/5.08 % (3458233)Peak memory usage: 523 MB
% 14.85/5.08 % (3458233)Instructions burned: 6330 (million)
% 14.85/5.08 % (3458235)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1036547063:fmbsr=2.30978:i=2174_2970 on theBenchmark for (2970ds/2174Mi)
% 14.85/5.08 % TRYING [16]
% 14.85/5.08 % (3458228)Instruction limit reached!
% 14.85/5.08 % (3458228)------------------------------
% 14.85/5.08 % (3458228)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.85/5.08 % (3458228)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.85/5.08 % (3458228)CaDiCaL version: 2.1.3
% 14.85/5.08 % (3458228)Termination reason: Instruction limit
% 14.85/5.08 % (3458228)Termination phase: Saturation
% 14.85/5.08 % (3458228)Time elapsed: 2.388 s
% 14.85/5.08 % (3458228)Peak memory usage: 24 MB
% 14.85/5.08 % (3458228)Instructions burned: 5131 (million)
% 14.85/5.08 % (3458237)ott-2_1_sil=16000:newcnf=on:random_seed=2837522218:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2966 on theBenchmark for (2966ds/869Mi)
% 14.85/5.08 % (3458235)Instruction limit reached!
% 14.85/5.08 % (3458235)------------------------------
% 14.85/5.08 % (3458235)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.85/5.08 % (3458235)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.85/5.08 % (3458235)CaDiCaL version: 2.1.3
% 14.85/5.08 % (3458235)Termination reason: Instruction limit
% 14.85/5.08 % (3458235)Termination phase: Finite model building constraint generation
% 14.85/5.08 % (3458235)Time elapsed: 0.406 s
% 14.85/5.08 % (3458235)Peak memory usage: 136 MB
% 14.85/5.08 % (3458235)Instructions burned: 2180 (million)
% 14.85/5.08 % (3458239)ott+10_1_sil=32000:tgt=ground:random_seed=863266191:i=5114:av=off_2965 on theBenchmark for (2965ds/5114Mi)
% 14.85/5.08 % (3458237)Instruction limit reached!
% 14.85/5.08 % (3458237)------------------------------
% 14.85/5.08 % (3458237)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.85/5.08 % (3458237)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.85/5.08 % (3458237)CaDiCaL version: 2.1.3
% 14.85/5.08 % (3458237)Termination reason: Instruction limit
% 14.85/5.08 % (3458237)Termination phase: Saturation
% 14.85/5.08 % (3458237)Time elapsed: 0.424 s
% 14.85/5.08 % (3458237)Peak memory usage: 15 MB
% 14.85/5.08 % (3458237)Instructions burned: 869 (million)
% 14.85/5.08 % (3458241)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=2368464983:i=54282_2961 on theBenchmark for (2961ds/54282Mi)
% 14.85/5.08 % TRYING [1]
% 14.85/5.08 % TRYING [2]
% 14.85/5.08 % TRYING [3]
% 14.85/5.08 % TRYING [4]
% 14.85/5.08 % TRYING [5]
% 14.85/5.08 % TRYING [6]
% 14.85/5.08 % TRYING [7]
% 14.85/5.08 % TRYING [8]
% 14.85/5.08 % (3458239) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3458184-3458239"...
% 14.85/5.08 % (3458239)...printing done.
% 14.85/5.08 % (3458239)Refutation found. Thanks to Tanya!
% 14.85/5.08 % SZS status Theorem for theBenchmark
% 14.85/5.08 % SZS output start Proof for theBenchmark
% See solution above
% 14.85/5.08 % (3458239)------------------------------
% 14.85/5.08 % (3458239)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.85/5.08 % (3458239)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.85/5.08 % (3458239)CaDiCaL version: 2.1.3
% 14.85/5.08 % (3458239)Termination reason: Refutation
% 14.85/5.08 % (3458239)Time elapsed: 1.163 s
% 14.85/5.08 % (3458239)Peak memory usage: 44 MB
% 14.85/5.08 % (3458239)Instructions burned: 4361 (million)
% 14.85/5.08 % (3458184)Success in time 4.65 s
% 14.85/5.08 % Vampire exiting
%------------------------------------------------------------------------------