%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET710+4 : TPTP v9.3.1. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:41:42 PM UTC 2026
% Result : Theorem 3.51s 1.49s
% Output : Refutation 5.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 4
% Syntax : Number of formulae : 74 ( 40 unt; 0 def)
% Number of atoms : 240 ( 19 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 240 ( 74 ~; 71 |; 71 &)
% ( 6 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Maximal term depth : 7 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-4 aty)
% Number of functors : 13 ( 13 usr; 7 con; 0-5 aty)
% Number of variables : 216 ( 186 !; 30 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f12,axiom,
! [X0,X1,X2] :
( maps(X0,X1,X2)
<=> ( ! [X3] :
( member(X3,X1)
=> ? [X4] :
( member(X4,X2)
& apply(X0,X3,X4) ) )
& ! [X3,X5,X6] :
( ( member(X3,X1)
& member(X5,X2)
& member(X6,X2) )
=> ( ( apply(X0,X3,X5)
& apply(X0,X3,X6) )
=> X5 = X6 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maps) ).
fof(f14,axiom,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( member(X5,X2)
& member(X6,X4) )
=> ( apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
<=> ? [X7] :
( member(X7,X3)
& apply(X1,X5,X7)
& apply(X0,X7,X6) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',compose_function) ).
fof(f15,axiom,
! [X0,X1,X2,X3] :
( equal_maps(X0,X1,X2,X3)
<=> ! [X4,X5,X6] :
( ( member(X4,X2)
& member(X5,X3)
& member(X6,X3) )
=> ( ( apply(X0,X4,X5)
& apply(X1,X4,X6) )
=> X5 = X6 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equal_maps) ).
fof(f29,conjecture,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( maps(X0,X3,X4)
& maps(X1,X4,X5)
& maps(X2,X5,X6) )
=> equal_maps(compose_function(X2,compose_function(X1,X0,X3,X4,X5),X3,X5,X6),compose_function(compose_function(X2,X1,X4,X5,X6),X0,X3,X4,X6),X3,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thII02) ).
fof(f30,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6] :
( ( maps(X0,X3,X4)
& maps(X1,X4,X5)
& maps(X2,X5,X6) )
=> equal_maps(compose_function(X2,compose_function(X1,X0,X3,X4,X5),X3,X5,X6),compose_function(compose_function(X2,X1,X4,X5,X6),X0,X3,X4,X6),X3,X6) ),
inference(negated_conjecture,[status(cth)],[f29]) ).
fof(f31,plain,
! [X0,X1,X2] :
( maps(X0,X1,X2)
<=> ( ! [X3] :
( member(X3,X1)
=> ? [X4] :
( member(X4,X2)
& apply(X0,X3,X4) ) )
& ! [X5,X6,X7] :
( ( member(X5,X1)
& member(X6,X2)
& member(X7,X2) )
=> ( ( apply(X0,X5,X6)
& apply(X0,X5,X7) )
=> X6 = X7 ) ) ) ),
inference(rectify,[],[f12]) ).
fof(f32,plain,
! [X0,X1,X2] :
( maps(X0,X1,X2)
=> ( ! [X3] :
( member(X3,X1)
=> ? [X4] :
( member(X4,X2)
& apply(X0,X3,X4) ) )
& ! [X5,X6,X7] :
( ( member(X5,X1)
& member(X6,X2)
& member(X7,X2) )
=> ( ( apply(X0,X5,X6)
& apply(X0,X5,X7) )
=> X6 = X7 ) ) ) ),
inference(unused_predicate_definition_removal,[],[f31]) ).
fof(f33,plain,
! [X0,X1,X2,X3] :
( ! [X4,X5,X6] :
( ( member(X4,X2)
& member(X5,X3)
& member(X6,X3) )
=> ( ( apply(X0,X4,X5)
& apply(X1,X4,X6) )
=> X5 = X6 ) )
=> equal_maps(X0,X1,X2,X3) ),
inference(unused_predicate_definition_removal,[],[f15]) ).
fof(f34,plain,
? [X0,X1,X2,X3,X4,X5,X6] :
( ~ equal_maps(compose_function(X2,compose_function(X1,X0,X3,X4,X5),X3,X5,X6),compose_function(compose_function(X2,X1,X4,X5,X6),X0,X3,X4,X6),X3,X6)
& maps(X0,X3,X4)
& maps(X1,X4,X5)
& maps(X2,X5,X6) ),
inference(ennf_transformation,[],[f30]) ).
fof(f35,plain,
? [X0,X1,X2,X3,X4,X5,X6] :
( ~ equal_maps(compose_function(X2,compose_function(X1,X0,X3,X4,X5),X3,X5,X6),compose_function(compose_function(X2,X1,X4,X5,X6),X0,X3,X4,X6),X3,X6)
& maps(X0,X3,X4)
& maps(X1,X4,X5)
& maps(X2,X5,X6) ),
inference(flattening,[],[f34]) ).
fof(f36,plain,
! [X0,X1,X2] :
( ( ! [X3] :
( ? [X4] :
( member(X4,X2)
& apply(X0,X3,X4) )
| ~ member(X3,X1) )
& ! [X5,X6,X7] :
( X6 = X7
| ~ apply(X0,X5,X6)
| ~ apply(X0,X5,X7)
| ~ member(X5,X1)
| ~ member(X6,X2)
| ~ member(X7,X2) ) )
| ~ maps(X0,X1,X2) ),
inference(ennf_transformation,[],[f32]) ).
fof(f37,plain,
! [X0,X1,X2] :
( ( ! [X3] :
( ? [X4] :
( member(X4,X2)
& apply(X0,X3,X4) )
| ~ member(X3,X1) )
& ! [X5,X6,X7] :
( X6 = X7
| ~ apply(X0,X5,X6)
| ~ apply(X0,X5,X7)
| ~ member(X5,X1)
| ~ member(X6,X2)
| ~ member(X7,X2) ) )
| ~ maps(X0,X1,X2) ),
inference(flattening,[],[f36]) ).
fof(f38,plain,
! [X0,X1,X2,X3] :
( equal_maps(X0,X1,X2,X3)
| ? [X4,X5,X6] :
( X5 != X6
& apply(X0,X4,X5)
& apply(X1,X4,X6)
& member(X4,X2)
& member(X5,X3)
& member(X6,X3) ) ),
inference(ennf_transformation,[],[f33]) ).
fof(f39,plain,
! [X0,X1,X2,X3] :
( equal_maps(X0,X1,X2,X3)
| ? [X4,X5,X6] :
( X5 != X6
& apply(X0,X4,X5)
& apply(X1,X4,X6)
& member(X4,X2)
& member(X5,X3)
& member(X6,X3) ) ),
inference(flattening,[],[f38]) ).
fof(f40,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
<=> ? [X7] :
( member(X7,X3)
& apply(X1,X5,X7)
& apply(X0,X7,X6) ) )
| ~ member(X5,X2)
| ~ member(X6,X4) ),
inference(ennf_transformation,[],[f14]) ).
fof(f41,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
<=> ? [X7] :
( member(X7,X3)
& apply(X1,X5,X7)
& apply(X0,X7,X6) ) )
| ~ member(X5,X2)
| ~ member(X6,X4) ),
inference(flattening,[],[f40]) ).
fof(f42,plain,
( ~ equal_maps(compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK6),compose_function(compose_function(sK2,sK1,sK4,sK5,sK6),sK0,sK3,sK4,sK6),sK3,sK6)
& maps(sK0,sK3,sK4)
& maps(sK1,sK4,sK5)
& maps(sK2,sK5,sK6) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5),skolemize(X6,sK6)],[f35]) ).
fof(f43,plain,
! [X0,X1,X2] :
( ( ! [X3] :
( ( member(sK7(X0,X2,X3),X2)
& apply(X0,X3,sK7(X0,X2,X3)) )
| ~ member(X3,X1) )
& ! [X5,X6,X7] :
( X6 = X7
| ~ apply(X0,X5,X6)
| ~ apply(X0,X5,X7)
| ~ member(X5,X1)
| ~ member(X6,X2)
| ~ member(X7,X2) ) )
| ~ maps(X0,X1,X2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(X4,sK7(X0,X2,X3))],[f37]) ).
fof(f44,plain,
! [X0,X1,X2,X3] :
( equal_maps(X0,X1,X2,X3)
| ( sK9(X0,X1,X2,X3) != sK10(X0,X1,X2,X3)
& apply(X0,sK8(X0,X1,X2,X3),sK9(X0,X1,X2,X3))
& apply(X1,sK8(X0,X1,X2,X3),sK10(X0,X1,X2,X3))
& member(sK8(X0,X1,X2,X3),X2)
& member(sK9(X0,X1,X2,X3),X3)
& member(sK10(X0,X1,X2,X3),X3) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8,sK9,sK10]),skolemize(X4,sK8(X0,X1,X2,X3)),skolemize(X5,sK9(X0,X1,X2,X3)),skolemize(X6,sK10(X0,X1,X2,X3))],[f39]) ).
fof(f45,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( ( apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
| ! [X7] :
( ~ member(X7,X3)
| ~ apply(X1,X5,X7)
| ~ apply(X0,X7,X6) ) )
& ( ? [X7] :
( member(X7,X3)
& apply(X1,X5,X7)
& apply(X0,X7,X6) )
| ~ apply(compose_function(X0,X1,X2,X3,X4),X5,X6) ) )
| ~ member(X5,X2)
| ~ member(X6,X4) ),
inference(nnf_transformation,[],[f41]) ).
fof(f46,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( ( apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
| ! [X7] :
( ~ member(X7,X3)
| ~ apply(X1,X5,X7)
| ~ apply(X0,X7,X6) ) )
& ( ? [X8] :
( member(X8,X3)
& apply(X1,X5,X8)
& apply(X0,X8,X6) )
| ~ apply(compose_function(X0,X1,X2,X3,X4),X5,X6) ) )
| ~ member(X5,X2)
| ~ member(X6,X4) ),
inference(rectify,[],[f45]) ).
fof(f47,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( ( apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
| ! [X7] :
( ~ member(X7,X3)
| ~ apply(X1,X5,X7)
| ~ apply(X0,X7,X6) ) )
& ( ( member(sK11(X0,X1,X3,X5,X6),X3)
& apply(X1,X5,sK11(X0,X1,X3,X5,X6))
& apply(X0,sK11(X0,X1,X3,X5,X6),X6) )
| ~ apply(compose_function(X0,X1,X2,X3,X4),X5,X6) ) )
| ~ member(X5,X2)
| ~ member(X6,X4) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(X8,sK11(X0,X1,X3,X5,X6))],[f46]) ).
fof(f48,plain,
maps(sK2,sK5,sK6),
inference(cnf_transformation,[],[f42]) ).
fof(f49,plain,
maps(sK1,sK4,sK5),
inference(cnf_transformation,[],[f42]) ).
fof(f50,plain,
maps(sK0,sK3,sK4),
inference(cnf_transformation,[],[f42]) ).
fof(f51,plain,
~ equal_maps(compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK6),compose_function(compose_function(sK2,sK1,sK4,sK5,sK6),sK0,sK3,sK4,sK6),sK3,sK6),
inference(cnf_transformation,[],[f42]) ).
fof(f52,plain,
! [X2,X0,X1,X6,X7,X5] :
( ~ apply(X0,X5,X7)
| ~ apply(X0,X5,X6)
| X6 = X7
| ~ member(X5,X1)
| ~ member(X6,X2)
| ~ member(X7,X2)
| ~ maps(X0,X1,X2) ),
inference(cnf_transformation,[],[f43]) ).
fof(f53,plain,
! [X2,X3,X0,X1] :
( ~ maps(X0,X1,X2)
| ~ member(X3,X1)
| apply(X0,X3,sK7(X0,X2,X3)) ),
inference(cnf_transformation,[],[f43]) ).
fof(f54,plain,
! [X2,X3,X0,X1] :
( ~ maps(X0,X1,X2)
| ~ member(X3,X1)
| member(sK7(X0,X2,X3),X2) ),
inference(cnf_transformation,[],[f43]) ).
fof(f55,plain,
! [X2,X3,X0,X1] :
( member(sK10(X0,X1,X2,X3),X3)
| equal_maps(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f44]) ).
fof(f56,plain,
! [X2,X3,X0,X1] :
( member(sK9(X0,X1,X2,X3),X3)
| equal_maps(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f44]) ).
fof(f57,plain,
! [X2,X3,X0,X1] :
( member(sK8(X0,X1,X2,X3),X2)
| equal_maps(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f44]) ).
fof(f58,plain,
! [X2,X3,X0,X1] :
( apply(X1,sK8(X0,X1,X2,X3),sK10(X0,X1,X2,X3))
| equal_maps(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f44]) ).
fof(f59,plain,
! [X2,X3,X0,X1] :
( apply(X0,sK8(X0,X1,X2,X3),sK9(X0,X1,X2,X3))
| equal_maps(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f44]) ).
fof(f60,plain,
! [X2,X3,X0,X1] :
( sK9(X0,X1,X2,X3) != sK10(X0,X1,X2,X3)
| equal_maps(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f44]) ).
fof(f61,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
| apply(X0,sK11(X0,X1,X3,X5,X6),X6)
| ~ member(X5,X2)
| ~ member(X6,X4) ),
inference(cnf_transformation,[],[f47]) ).
fof(f62,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
| apply(X1,X5,sK11(X0,X1,X3,X5,X6))
| ~ member(X5,X2)
| ~ member(X6,X4) ),
inference(cnf_transformation,[],[f47]) ).
fof(f63,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
| member(sK11(X0,X1,X3,X5,X6),X3)
| ~ member(X5,X2)
| ~ member(X6,X4) ),
inference(cnf_transformation,[],[f47]) ).
fof(f65,plain,
member(sK10(compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK6),compose_function(compose_function(sK2,sK1,sK4,sK5,sK6),sK0,sK3,sK4,sK6),sK3,sK6),sK6),
inference(unit_resulting_resolution,[],[f55,f51]) ).
fof(f66,plain,
member(sK9(compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK6),compose_function(compose_function(sK2,sK1,sK4,sK5,sK6),sK0,sK3,sK4,sK6),sK3,sK6),sK6),
inference(unit_resulting_resolution,[],[f56,f51]) ).
fof(f67,plain,
member(sK8(compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK6),compose_function(compose_function(sK2,sK1,sK4,sK5,sK6),sK0,sK3,sK4,sK6),sK3,sK6),sK3),
inference(unit_resulting_resolution,[],[f57,f51]) ).
fof(f68,plain,
member(sK7(sK0,sK4,sK8(compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK6),compose_function(compose_function(sK2,sK1,sK4,sK5,sK6),sK0,sK3,sK4,sK6),sK3,sK6)),sK4),
inference(unit_resulting_resolution,[],[f54,f50,f67]) ).
fof(f69,plain,
apply(sK0,sK8(compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK6),compose_function(compose_function(sK2,sK1,sK4,sK5,sK6),sK0,sK3,sK4,sK6),sK3,sK6),sK7(sK0,sK4,sK8(compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK6),compose_function(compose_function(sK2,sK1,sK4,sK5,sK6),sK0,sK3,sK4,sK6),sK3,sK6))),
inference(unit_resulting_resolution,[],[f53,f50,f67]) ).
fof(f70,plain,
apply(sK1,sK7(sK0,sK4,sK8(compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK6),compose_function(compose_function(sK2,sK1,sK4,sK5,sK6),sK0,sK3,sK4,sK6),sK3,sK6)),sK7(sK1,sK5,sK7(sK0,sK4,sK8(compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK6),compose_function(compose_function(sK2,sK1,sK4,sK5,sK6),sK0,sK3,sK4,sK6),sK3,sK6)))),
inference(unit_resulting_resolution,[],[f53,f49,f68]) ).
fof(f71,plain,
member(sK7(sK1,sK5,sK7(sK0,sK4,sK8(compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK6),compose_function(compose_function(sK2,sK1,sK4,sK5,sK6),sK0,sK3,sK4,sK6),sK3,sK6))),sK5),
inference(unit_resulting_resolution,[],[f54,f49,f68]) ).
fof(f72,plain,
sK10(compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK6),compose_function(compose_function(sK2,sK1,sK4,sK5,sK6),sK0,sK3,sK4,sK6),sK3,sK6) != sK9(compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK6),compose_function(compose_function(sK2,sK1,sK4,sK5,sK6),sK0,sK3,sK4,sK6),sK3,sK6),
inference(unit_resulting_resolution,[],[f60,f51]) ).
fof(f75,plain,
apply(compose_function(compose_function(sK2,sK1,sK4,sK5,sK6),sK0,sK3,sK4,sK6),sK8(compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK6),compose_function(compose_function(sK2,sK1,sK4,sK5,sK6),sK0,sK3,sK4,sK6),sK3,sK6),sK10(compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK6),compose_function(compose_function(sK2,sK1,sK4,sK5,sK6),sK0,sK3,sK4,sK6),sK3,sK6)),
inference(unit_resulting_resolution,[],[f58,f51]) ).
fof(f76,plain,
apply(compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK6),sK8(compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK6),compose_function(compose_function(sK2,sK1,sK4,sK5,sK6),sK0,sK3,sK4,sK6),sK3,sK6),sK9(compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK6),compose_function(compose_function(sK2,sK1,sK4,sK5,sK6),sK0,sK3,sK4,sK6),sK3,sK6)),
inference(unit_resulting_resolution,[],[f59,f51]) ).
fof(f80,plain,
apply(compose_function(sK2,sK1,sK4,sK5,sK6),sK11(compose_function(sK2,sK1,sK4,sK5,sK6),sK0,sK4,sK8(compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK6),compose_function(compose_function(sK2,sK1,sK4,sK5,sK6),sK0,sK3,sK4,sK6),sK3,sK6),sK10(compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK6),compose_function(compose_function(sK2,sK1,sK4,sK5,sK6),sK0,sK3,sK4,sK6),sK3,sK6)),sK10(compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK6),compose_function(compose_function(sK2,sK1,sK4,sK5,sK6),sK0,sK3,sK4,sK6),sK3,sK6)),
inference(unit_resulting_resolution,[],[f61,f65,f67,f75]) ).
fof(f81,plain,
member(sK11(compose_function(sK2,sK1,sK4,sK5,sK6),sK0,sK4,sK8(compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK6),compose_function(compose_function(sK2,sK1,sK4,sK5,sK6),sK0,sK3,sK4,sK6),sK3,sK6),sK10(compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK6),compose_function(compose_function(sK2,sK1,sK4,sK5,sK6),sK0,sK3,sK4,sK6),sK3,sK6)),sK4),
inference(unit_resulting_resolution,[],[f63,f65,f67,f75]) ).
fof(f82,plain,
apply(sK0,sK8(compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK6),compose_function(compose_function(sK2,sK1,sK4,sK5,sK6),sK0,sK3,sK4,sK6),sK3,sK6),sK11(compose_function(sK2,sK1,sK4,sK5,sK6),sK0,sK4,sK8(compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK6),compose_function(compose_function(sK2,sK1,sK4,sK5,sK6),sK0,sK3,sK4,sK6),sK3,sK6),sK10(compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK6),compose_function(compose_function(sK2,sK1,sK4,sK5,sK6),sK0,sK3,sK4,sK6),sK3,sK6))),
inference(unit_resulting_resolution,[],[f62,f65,f67,f75]) ).
fof(f86,plain,
apply(compose_function(sK1,sK0,sK3,sK4,sK5),sK8(compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK6),compose_function(compose_function(sK2,sK1,sK4,sK5,sK6),sK0,sK3,sK4,sK6),sK3,sK6),sK11(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK5,sK8(compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK6),compose_function(compose_function(sK2,sK1,sK4,sK5,sK6),sK0,sK3,sK4,sK6),sK3,sK6),sK9(compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK6),compose_function(compose_function(sK2,sK1,sK4,sK5,sK6),sK0,sK3,sK4,sK6),sK3,sK6))),
inference(unit_resulting_resolution,[],[f62,f66,f67,f76]) ).
fof(f87,plain,
apply(sK2,sK11(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK5,sK8(compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK6),compose_function(compose_function(sK2,sK1,sK4,sK5,sK6),sK0,sK3,sK4,sK6),sK3,sK6),sK9(compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK6),compose_function(compose_function(sK2,sK1,sK4,sK5,sK6),sK0,sK3,sK4,sK6),sK3,sK6)),sK9(compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK6),compose_function(compose_function(sK2,sK1,sK4,sK5,sK6),sK0,sK3,sK4,sK6),sK3,sK6)),
inference(unit_resulting_resolution,[],[f61,f66,f67,f76]) ).
fof(f88,plain,
member(sK11(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK5,sK8(compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK6),compose_function(compose_function(sK2,sK1,sK4,sK5,sK6),sK0,sK3,sK4,sK6),sK3,sK6),sK9(compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK6),compose_function(compose_function(sK2,sK1,sK4,sK5,sK6),sK0,sK3,sK4,sK6),sK3,sK6)),sK5),
inference(unit_resulting_resolution,[],[f63,f66,f67,f76]) ).
fof(f94,plain,
sK7(sK0,sK4,sK8(compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK6),compose_function(compose_function(sK2,sK1,sK4,sK5,sK6),sK0,sK3,sK4,sK6),sK3,sK6)) = sK11(compose_function(sK2,sK1,sK4,sK5,sK6),sK0,sK4,sK8(compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK6),compose_function(compose_function(sK2,sK1,sK4,sK5,sK6),sK0,sK3,sK4,sK6),sK3,sK6),sK10(compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK6),compose_function(compose_function(sK2,sK1,sK4,sK5,sK6),sK0,sK3,sK4,sK6),sK3,sK6)),
inference(unit_resulting_resolution,[],[f52,f50,f67,f68,f69,f81,f82]) ).
fof(f100,plain,
~ apply(sK2,sK11(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK5,sK8(compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK6),compose_function(compose_function(sK2,sK1,sK4,sK5,sK6),sK0,sK3,sK4,sK6),sK3,sK6),sK9(compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK6),compose_function(compose_function(sK2,sK1,sK4,sK5,sK6),sK0,sK3,sK4,sK6),sK3,sK6)),sK10(compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK6),compose_function(compose_function(sK2,sK1,sK4,sK5,sK6),sK0,sK3,sK4,sK6),sK3,sK6)),
inference(unit_resulting_resolution,[],[f52,f48,f65,f66,f72,f88,f87]) ).
fof(f108,plain,
apply(sK1,sK11(compose_function(sK2,sK1,sK4,sK5,sK6),sK0,sK4,sK8(compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK6),compose_function(compose_function(sK2,sK1,sK4,sK5,sK6),sK0,sK3,sK4,sK6),sK3,sK6),sK10(compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK6),compose_function(compose_function(sK2,sK1,sK4,sK5,sK6),sK0,sK3,sK4,sK6),sK3,sK6)),sK11(sK2,sK1,sK5,sK11(compose_function(sK2,sK1,sK4,sK5,sK6),sK0,sK4,sK8(compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK6),compose_function(compose_function(sK2,sK1,sK4,sK5,sK6),sK0,sK3,sK4,sK6),sK3,sK6),sK10(compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK6),compose_function(compose_function(sK2,sK1,sK4,sK5,sK6),sK0,sK3,sK4,sK6),sK3,sK6)),sK10(compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK6),compose_function(compose_function(sK2,sK1,sK4,sK5,sK6),sK0,sK3,sK4,sK6),sK3,sK6))),
inference(unit_resulting_resolution,[],[f62,f65,f81,f80]) ).
fof(f109,plain,
apply(sK2,sK11(sK2,sK1,sK5,sK11(compose_function(sK2,sK1,sK4,sK5,sK6),sK0,sK4,sK8(compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK6),compose_function(compose_function(sK2,sK1,sK4,sK5,sK6),sK0,sK3,sK4,sK6),sK3,sK6),sK10(compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK6),compose_function(compose_function(sK2,sK1,sK4,sK5,sK6),sK0,sK3,sK4,sK6),sK3,sK6)),sK10(compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK6),compose_function(compose_function(sK2,sK1,sK4,sK5,sK6),sK0,sK3,sK4,sK6),sK3,sK6)),sK10(compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK6),compose_function(compose_function(sK2,sK1,sK4,sK5,sK6),sK0,sK3,sK4,sK6),sK3,sK6)),
inference(unit_resulting_resolution,[],[f61,f65,f81,f80]) ).
fof(f110,plain,
member(sK11(sK2,sK1,sK5,sK11(compose_function(sK2,sK1,sK4,sK5,sK6),sK0,sK4,sK8(compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK6),compose_function(compose_function(sK2,sK1,sK4,sK5,sK6),sK0,sK3,sK4,sK6),sK3,sK6),sK10(compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK6),compose_function(compose_function(sK2,sK1,sK4,sK5,sK6),sK0,sK3,sK4,sK6),sK3,sK6)),sK10(compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK6),compose_function(compose_function(sK2,sK1,sK4,sK5,sK6),sK0,sK3,sK4,sK6),sK3,sK6)),sK5),
inference(unit_resulting_resolution,[],[f63,f65,f81,f80]) ).
fof(f112,plain,
apply(sK1,sK7(sK0,sK4,sK8(compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK6),compose_function(compose_function(sK2,sK1,sK4,sK5,sK6),sK0,sK3,sK4,sK6),sK3,sK6)),sK11(sK2,sK1,sK5,sK7(sK0,sK4,sK8(compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK6),compose_function(compose_function(sK2,sK1,sK4,sK5,sK6),sK0,sK3,sK4,sK6),sK3,sK6)),sK10(compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK6),compose_function(compose_function(sK2,sK1,sK4,sK5,sK6),sK0,sK3,sK4,sK6),sK3,sK6))),
inference(forward_demodulation,[],[f108,f94]) ).
fof(f113,plain,
apply(sK2,sK11(sK2,sK1,sK5,sK7(sK0,sK4,sK8(compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK6),compose_function(compose_function(sK2,sK1,sK4,sK5,sK6),sK0,sK3,sK4,sK6),sK3,sK6)),sK10(compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK6),compose_function(compose_function(sK2,sK1,sK4,sK5,sK6),sK0,sK3,sK4,sK6),sK3,sK6)),sK10(compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK6),compose_function(compose_function(sK2,sK1,sK4,sK5,sK6),sK0,sK3,sK4,sK6),sK3,sK6)),
inference(forward_demodulation,[],[f109,f94]) ).
fof(f114,plain,
member(sK11(sK2,sK1,sK5,sK7(sK0,sK4,sK8(compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK6),compose_function(compose_function(sK2,sK1,sK4,sK5,sK6),sK0,sK3,sK4,sK6),sK3,sK6)),sK10(compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK6),compose_function(compose_function(sK2,sK1,sK4,sK5,sK6),sK0,sK3,sK4,sK6),sK3,sK6)),sK5),
inference(forward_demodulation,[],[f110,f94]) ).
fof(f117,plain,
apply(sK0,sK8(compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK6),compose_function(compose_function(sK2,sK1,sK4,sK5,sK6),sK0,sK3,sK4,sK6),sK3,sK6),sK11(sK1,sK0,sK4,sK8(compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK6),compose_function(compose_function(sK2,sK1,sK4,sK5,sK6),sK0,sK3,sK4,sK6),sK3,sK6),sK11(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK5,sK8(compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK6),compose_function(compose_function(sK2,sK1,sK4,sK5,sK6),sK0,sK3,sK4,sK6),sK3,sK6),sK9(compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK6),compose_function(compose_function(sK2,sK1,sK4,sK5,sK6),sK0,sK3,sK4,sK6),sK3,sK6)))),
inference(unit_resulting_resolution,[],[f62,f67,f88,f86]) ).
fof(f118,plain,
apply(sK1,sK11(sK1,sK0,sK4,sK8(compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK6),compose_function(compose_function(sK2,sK1,sK4,sK5,sK6),sK0,sK3,sK4,sK6),sK3,sK6),sK11(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK5,sK8(compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK6),compose_function(compose_function(sK2,sK1,sK4,sK5,sK6),sK0,sK3,sK4,sK6),sK3,sK6),sK9(compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK6),compose_function(compose_function(sK2,sK1,sK4,sK5,sK6),sK0,sK3,sK4,sK6),sK3,sK6))),sK11(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK5,sK8(compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK6),compose_function(compose_function(sK2,sK1,sK4,sK5,sK6),sK0,sK3,sK4,sK6),sK3,sK6),sK9(compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK6),compose_function(compose_function(sK2,sK1,sK4,sK5,sK6),sK0,sK3,sK4,sK6),sK3,sK6))),
inference(unit_resulting_resolution,[],[f61,f67,f88,f86]) ).
fof(f119,plain,
member(sK11(sK1,sK0,sK4,sK8(compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK6),compose_function(compose_function(sK2,sK1,sK4,sK5,sK6),sK0,sK3,sK4,sK6),sK3,sK6),sK11(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK5,sK8(compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK6),compose_function(compose_function(sK2,sK1,sK4,sK5,sK6),sK0,sK3,sK4,sK6),sK3,sK6),sK9(compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK6),compose_function(compose_function(sK2,sK1,sK4,sK5,sK6),sK0,sK3,sK4,sK6),sK3,sK6))),sK4),
inference(unit_resulting_resolution,[],[f63,f67,f88,f86]) ).
fof(f133,plain,
sK7(sK1,sK5,sK7(sK0,sK4,sK8(compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK6),compose_function(compose_function(sK2,sK1,sK4,sK5,sK6),sK0,sK3,sK4,sK6),sK3,sK6))) = sK11(sK2,sK1,sK5,sK7(sK0,sK4,sK8(compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK6),compose_function(compose_function(sK2,sK1,sK4,sK5,sK6),sK0,sK3,sK4,sK6),sK3,sK6)),sK10(compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK6),compose_function(compose_function(sK2,sK1,sK4,sK5,sK6),sK0,sK3,sK4,sK6),sK3,sK6)),
inference(unit_resulting_resolution,[],[f52,f49,f68,f71,f70,f114,f112]) ).
fof(f149,plain,
apply(sK1,sK11(sK1,sK0,sK4,sK8(compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK6),compose_function(compose_function(sK2,sK1,sK4,sK5,sK6),sK0,sK3,sK4,sK6),sK3,sK6),sK11(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK5,sK8(compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK6),compose_function(compose_function(sK2,sK1,sK4,sK5,sK6),sK0,sK3,sK4,sK6),sK3,sK6),sK9(compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK6),compose_function(compose_function(sK2,sK1,sK4,sK5,sK6),sK0,sK3,sK4,sK6),sK3,sK6))),sK7(sK1,sK5,sK11(sK1,sK0,sK4,sK8(compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK6),compose_function(compose_function(sK2,sK1,sK4,sK5,sK6),sK0,sK3,sK4,sK6),sK3,sK6),sK11(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK5,sK8(compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK6),compose_function(compose_function(sK2,sK1,sK4,sK5,sK6),sK0,sK3,sK4,sK6),sK3,sK6),sK9(compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK6),compose_function(compose_function(sK2,sK1,sK4,sK5,sK6),sK0,sK3,sK4,sK6),sK3,sK6))))),
inference(unit_resulting_resolution,[],[f53,f49,f119]) ).
fof(f150,plain,
member(sK7(sK1,sK5,sK11(sK1,sK0,sK4,sK8(compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK6),compose_function(compose_function(sK2,sK1,sK4,sK5,sK6),sK0,sK3,sK4,sK6),sK3,sK6),sK11(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK5,sK8(compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK6),compose_function(compose_function(sK2,sK1,sK4,sK5,sK6),sK0,sK3,sK4,sK6),sK3,sK6),sK9(compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK6),compose_function(compose_function(sK2,sK1,sK4,sK5,sK6),sK0,sK3,sK4,sK6),sK3,sK6)))),sK5),
inference(unit_resulting_resolution,[],[f54,f49,f119]) ).
fof(f153,plain,
sK7(sK0,sK4,sK8(compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK6),compose_function(compose_function(sK2,sK1,sK4,sK5,sK6),sK0,sK3,sK4,sK6),sK3,sK6)) = sK11(sK1,sK0,sK4,sK8(compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK6),compose_function(compose_function(sK2,sK1,sK4,sK5,sK6),sK0,sK3,sK4,sK6),sK3,sK6),sK11(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK5,sK8(compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK6),compose_function(compose_function(sK2,sK1,sK4,sK5,sK6),sK0,sK3,sK4,sK6),sK3,sK6),sK9(compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK6),compose_function(compose_function(sK2,sK1,sK4,sK5,sK6),sK0,sK3,sK4,sK6),sK3,sK6))),
inference(unit_resulting_resolution,[],[f52,f50,f67,f68,f69,f119,f117]) ).
fof(f210,plain,
apply(sK2,sK7(sK1,sK5,sK7(sK0,sK4,sK8(compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK6),compose_function(compose_function(sK2,sK1,sK4,sK5,sK6),sK0,sK3,sK4,sK6),sK3,sK6))),sK10(compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK6),compose_function(compose_function(sK2,sK1,sK4,sK5,sK6),sK0,sK3,sK4,sK6),sK3,sK6)),
inference(superposition,[],[f113,f133]) ).
fof(f260,plain,
sK11(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK5,sK8(compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK6),compose_function(compose_function(sK2,sK1,sK4,sK5,sK6),sK0,sK3,sK4,sK6),sK3,sK6),sK9(compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK6),compose_function(compose_function(sK2,sK1,sK4,sK5,sK6),sK0,sK3,sK4,sK6),sK3,sK6)) = sK7(sK1,sK5,sK11(sK1,sK0,sK4,sK8(compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK6),compose_function(compose_function(sK2,sK1,sK4,sK5,sK6),sK0,sK3,sK4,sK6),sK3,sK6),sK11(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK5,sK8(compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK6),compose_function(compose_function(sK2,sK1,sK4,sK5,sK6),sK0,sK3,sK4,sK6),sK3,sK6),sK9(compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK6),compose_function(compose_function(sK2,sK1,sK4,sK5,sK6),sK0,sK3,sK4,sK6),sK3,sK6)))),
inference(unit_resulting_resolution,[],[f52,f49,f88,f119,f118,f150,f149]) ).
fof(f265,plain,
sK7(sK1,sK5,sK7(sK0,sK4,sK8(compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK6),compose_function(compose_function(sK2,sK1,sK4,sK5,sK6),sK0,sK3,sK4,sK6),sK3,sK6))) = sK11(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK5,sK8(compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK6),compose_function(compose_function(sK2,sK1,sK4,sK5,sK6),sK0,sK3,sK4,sK6),sK3,sK6),sK9(compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK6),compose_function(compose_function(sK2,sK1,sK4,sK5,sK6),sK0,sK3,sK4,sK6),sK3,sK6)),
inference(forward_demodulation,[],[f260,f153]) ).
fof(f323,plain,
~ apply(sK2,sK7(sK1,sK5,sK7(sK0,sK4,sK8(compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK6),compose_function(compose_function(sK2,sK1,sK4,sK5,sK6),sK0,sK3,sK4,sK6),sK3,sK6))),sK10(compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK6),compose_function(compose_function(sK2,sK1,sK4,sK5,sK6),sK0,sK3,sK4,sK6),sK3,sK6)),
inference(superposition,[],[f100,f265]) ).
fof(f333,plain,
$false,
inference(forward_subsumption_resolution,[],[f323,f210]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET710+4 : TPTP v9.3.1. Bugfixed v2.2.1.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n003.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Mon Sep 28 02:38:12 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.51/1.49 % (1133266)Detected formulas, will run a generic FOF schedule.
% 3.51/1.49 % (1133274)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2172109874:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.51/1.49 % (1133274)Refutation not found, incomplete strategy
% 3.51/1.49 % (1133274)------------------------------
% 3.51/1.49 % (1133274)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.51/1.49 % (1133274)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.51/1.49 % (1133274)CaDiCaL version: 2.1.3
% 3.51/1.49 % (1133274)Termination reason: Refutation not found, incomplete strategy
% 3.51/1.49 % (1133274)Time elapsed: 0.005 s
% 3.51/1.49 % (1133274)Peak memory usage: 88 MB
% 3.51/1.49 % (1133274)Instructions burned: 13 (million)
% 3.51/1.49 % (1133276)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4127697301:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.51/1.49 % (1133275)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=910749639:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.51/1.49 % (1133272)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=4262859740:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.51/1.49 % (1133277)dis-21_1_sil=8000:lcm=predicate:random_seed=3131472545:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 3.51/1.49 % (1133271)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1884428391:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.51/1.49 % (1133273)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=2361897794:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.51/1.49 % (1133275)Instruction limit reached!
% 3.51/1.49 % (1133275)------------------------------
% 3.51/1.49 % (1133275)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.51/1.49 % (1133275)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.51/1.49 % (1133275)CaDiCaL version: 2.1.3
% 3.51/1.49 % (1133275)Termination reason: Instruction limit
% 3.51/1.49 % (1133275)Termination phase: Saturation
% 3.51/1.49 % (1133275)Time elapsed: 0.061 s
% 3.51/1.49 % (1133275)Peak memory usage: 88 MB
% 3.51/1.49 % (1133275)Instructions burned: 121 (million)
% 3.51/1.49 % (1133277)Instruction limit reached!
% 3.51/1.49 % (1133277)------------------------------
% 3.51/1.49 % (1133277)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.51/1.49 % (1133277)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.51/1.49 % (1133277)CaDiCaL version: 2.1.3
% 3.51/1.49 % (1133277)Termination reason: Instruction limit
% 3.51/1.49 % (1133277)Termination phase: Saturation
% 3.51/1.49 % (1133277)Time elapsed: 0.069 s
% 3.51/1.49 % (1133277)Peak memory usage: 89 MB
% 3.51/1.49 % (1133277)Instructions burned: 129 (million)
% 3.51/1.49 % (1133276)Instruction limit reached!
% 3.51/1.49 % (1133276)------------------------------
% 3.51/1.49 % (1133276)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.51/1.49 % (1133276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.51/1.49 % (1133276)CaDiCaL version: 2.1.3
% 3.51/1.49 % (1133276)Termination reason: Instruction limit
% 3.51/1.49 % (1133276)Termination phase: Saturation
% 3.51/1.49 % (1133276)Time elapsed: 0.098 s
% 3.51/1.49 % (1133276)Peak memory usage: 89 MB
% 3.51/1.49 % (1133276)Instructions burned: 140 (million)
% 3.51/1.49 % (1133274)------------------------------
% 3.51/1.49 % (1133274)------------------------------
% 3.51/1.49 % (1133285)lrs+10_1_sil=8000:sp=occurrence:random_seed=1771135945:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.51/1.49 % (1133288)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=1275473850:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 3.51/1.49 % (1133286)lrs+10_1_sil=32000:urr=on:br=off:random_seed=729216269:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.51/1.49 % (1133287)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2394225223:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 3.51/1.49 % (1133286)First to succeed.
% 3.51/1.49 % (1133286)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1133266"
% 3.51/1.49 % (1133288)Instruction limit reached!
% 3.51/1.49 % (1133288)------------------------------
% 3.51/1.49 % (1133288)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.51/1.49 % (1133288)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.51/1.49 % (1133288)CaDiCaL version: 2.1.3
% 3.51/1.49 % (1133288)Termination reason: Instruction limit
% 3.51/1.49 % (1133288)Termination phase: Saturation
% 3.51/1.49 % (1133288)Time elapsed: 0.067 s
% 3.51/1.49 % (1133288)Peak memory usage: 89 MB
% 3.51/1.49 % (1133288)Instructions burned: 252 (million)
% 3.51/1.49 % (1133285)Instruction limit reached!
% 3.51/1.49 % (1133285)------------------------------
% 3.51/1.49 % (1133285)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.51/1.49 % (1133285)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.51/1.49 % (1133285)CaDiCaL version: 2.1.3
% 3.51/1.49 % (1133285)Termination reason: Instruction limit
% 3.51/1.49 % (1133285)Termination phase: Saturation
% 3.51/1.49 % (1133285)Time elapsed: 0.164 s
% 3.51/1.49 % (1133285)Peak memory usage: 93 MB
% 3.51/1.49 % (1133285)Instructions burned: 285 (million)
% 3.51/1.49 % (1133293)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=162240789:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 3.51/1.49 % (1133293)Refutation not found, incomplete strategy
% 3.51/1.49 % (1133293)------------------------------
% 3.51/1.49 % (1133293)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.51/1.49 % (1133293)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.51/1.49 % (1133293)CaDiCaL version: 2.1.3
% 3.51/1.49 % (1133293)Termination reason: Refutation not found, incomplete strategy
% 3.51/1.49 % (1133293)Time elapsed: 0.001 s
% 3.51/1.49 % (1133293)Peak memory usage: 88 MB
% 3.51/1.49 % (1133293)Instructions burned: 1 (million)
% 3.51/1.49 % (1133287)Instruction limit reached!
% 3.51/1.49 % (1133287)------------------------------
% 3.51/1.49 % (1133287)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.51/1.49 % (1133287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.51/1.49 % (1133287)CaDiCaL version: 2.1.3
% 3.51/1.49 % (1133287)Termination reason: Instruction limit
% 3.51/1.49 % (1133287)Termination phase: Saturation
% 3.51/1.49 % (1133287)Time elapsed: 0.210 s
% 3.51/1.49 % (1133287)Peak memory usage: 93 MB
% 3.51/1.49 % (1133287)Instructions burned: 328 (million)
% 3.51/1.49 % (1133286)Refutation found. Thanks to Tanya!
% 3.51/1.49 % SZS status Theorem for theBenchmark
% 3.51/1.49 % SZS output start Proof for theBenchmark
% See solution above
% 5.10/1.68 % (1133286)------------------------------
% 5.10/1.68 % (1133286)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.10/1.68 % (1133286)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.10/1.68 % (1133286)CaDiCaL version: 2.1.3
% 5.10/1.68 % (1133286)Termination reason: Refutation
% 5.10/1.68 % (1133286)Time elapsed: 0.036 s
% 5.10/1.68 % (1133286)Peak memory usage: 89 MB
% 5.10/1.68 % (1133286)Instructions burned: 67 (million)
% 5.10/1.68 % (1133286)------------------------------
% 5.10/1.68 % (1133286)------------------------------
% 5.10/1.68 % (1133266)Success in time 0.639 s
% 5.10/1.68 % Vampire exiting
%------------------------------------------------------------------------------