%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW096+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 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 01:29:37 PM UTC 2026
% Result : Theorem 64.85s 12.40s
% Output : Refutation 83.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 58
% Number of leaves : 123
% Syntax : Number of formulae : 1746 ( 124 unt; 92 def)
% Number of atoms : 6404 (1435 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 8236 (3578 ~;4521 |; 36 &)
% ( 88 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 89 ( 87 usr; 85 prp; 0-2 aty)
% Number of functors : 31 ( 31 usr; 16 con; 0-3 aty)
% Number of variables : 682 ( 0 sgn 671 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] :
( bool(X0)
<=> ( X0 = false
| X0 = true ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_bool) ).
fof(f2,axiom,
( true != false
& true != err
& false != err ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distinct_false_true_err) ).
fof(f3,axiom,
( d(true)
& d(false)
& d(err) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',false_true_err_in_d) ).
fof(f4,axiom,
! [X0,X1] :
( forallprefers(X0,X1)
<=> ( ( ~ d(X0)
& d(X1) )
| ( d(X0)
& d(X1)
& ~ bool(X0)
& bool(X1) )
| ( X0 = false
& X1 = true ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_forallprefers) ).
fof(f6,axiom,
! [X0] :
( ( d(X0)
& phi(X0) = X0 )
| ( ~ d(X0)
& phi(X0) = err ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_phi) ).
fof(f7,axiom,
! [X0] :
( prop(X0) = true
<=> bool(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prop_true) ).
fof(f8,axiom,
! [X0] :
( prop(X0) = false
<=> ~ bool(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prop_false) ).
fof(f9,axiom,
! [X0,X1] :
( ~ bool(X0)
=> impl(X0,X1) = phi(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',impl_axiom1) ).
fof(f10,axiom,
! [X0,X1] :
( ( bool(X0)
& ~ bool(X1) )
=> impl(X0,X1) = phi(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',impl_axiom2) ).
fof(f11,axiom,
! [X0] :
( bool(X0)
=> impl(false,X0) = true ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',impl_axiom3) ).
fof(f12,axiom,
! [X0] :
( bool(X0)
=> impl(true,X0) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',impl_axiom4) ).
fof(f13,axiom,
! [X0,X1] :
( ~ bool(X0)
=> lazy_impl(X0,X1) = phi(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lazy_impl_axiom1) ).
fof(f14,axiom,
! [X0] : lazy_impl(false,X0) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lazy_impl_axiom2) ).
fof(f15,axiom,
! [X0] : lazy_impl(true,X0) = phi(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lazy_impl_axiom3) ).
fof(f16,axiom,
! [X0,X1] :
( ~ bool(X0)
=> and1(X0,X1) = phi(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',and1_axiom1) ).
fof(f17,axiom,
! [X0,X1] :
( ( bool(X0)
& ~ bool(X1) )
=> and1(X0,X1) = phi(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',and1_axiom2) ).
fof(f18,axiom,
! [X0] :
( bool(X0)
=> and1(false,X0) = false ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',and1_axiom3) ).
fof(f19,axiom,
! [X0] :
( bool(X0)
=> and1(true,X0) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',and1_axiom4) ).
fof(f20,axiom,
! [X0,X1,X2] : f1(X0,X1,X2) = lazy_impl(prop(X2),impl(impl(X0,impl(X1,X2)),X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_f1) ).
fof(f21,axiom,
! [X0,X1] :
? [X2] :
( and2(X0,X1) = phi(f1(X0,X1,X2))
& ~ ? [X3] : forallprefers(f1(X0,X1,X3),f1(X0,X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_and2) ).
fof(f25,axiom,
! [X0,X1,X2] : f2(X0,X1,X2) = lazy_impl(prop(X2),impl(lazy_impl(X0,impl(X1,X2)),X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_f2) ).
fof(f26,axiom,
! [X0,X1] :
? [X2] :
( lazy_and2(X0,X1) = phi(f2(X0,X1,X2))
& ~ ? [X3] : forallprefers(f2(X0,X1,X3),f2(X0,X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_lazy_and2) ).
fof(f28,axiom,
! [X0,X1] :
( ( bool(X0)
& ~ bool(X1) )
=> or1(X0,X1) = phi(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',or1_axiom2) ).
fof(f29,axiom,
! [X0] :
( bool(X0)
=> or1(true,X0) = true ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',or1_axiom3) ).
fof(f38,axiom,
false1 = false,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_false1) ).
fof(f39,axiom,
! [X0] : f7(X0) = lazy_impl(prop(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_f7) ).
fof(f40,axiom,
? [X0] :
( false2 = phi(f7(X0))
& ~ ? [X1] : forallprefers(f7(X1),f7(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_false2) ).
fof(f41,axiom,
! [X0] :
( ~ bool(X0)
=> not1(X0) = phi(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not1_axiom1) ).
fof(f42,axiom,
not1(false) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not1_axiom2) ).
fof(f43,axiom,
not1(true) = false,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not1_axiom3) ).
fof(f45,conjecture,
! [X0,X1] : and1(X0,X1) = and2(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',and1_and2) ).
fof(f46,negated_conjecture,
~ ! [X0,X1] : and1(X0,X1) = and2(X0,X1),
inference(negated_conjecture,[status(cth)],[f45]) ).
fof(f48,plain,
! [X0,X1] :
( ( ( ~ d(X0)
& d(X1) )
| ( d(X0)
& d(X1)
& ~ bool(X0)
& bool(X1) )
| ( X0 = false
& X1 = true ) )
=> forallprefers(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f4]) ).
fof(f49,plain,
! [X0,X1] :
( forallprefers(X0,X1)
| ( ( d(X0)
| ~ d(X1) )
& ( ~ d(X0)
| ~ d(X1)
| bool(X0)
| ~ bool(X1) )
& ( false != X0
| true != X1 ) ) ),
inference(ennf_transformation,[],[f48]) ).
fof(f51,plain,
! [X0,X1] :
( impl(X0,X1) = phi(X0)
| bool(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f52,plain,
! [X0,X1] :
( impl(X0,X1) = phi(X1)
| ~ bool(X0)
| bool(X1) ),
inference(ennf_transformation,[],[f10]) ).
fof(f53,plain,
! [X0,X1] :
( impl(X0,X1) = phi(X1)
| ~ bool(X0)
| bool(X1) ),
inference(flattening,[],[f52]) ).
fof(f54,plain,
! [X0] :
( impl(false,X0) = true
| ~ bool(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f55,plain,
! [X0] :
( impl(true,X0) = X0
| ~ bool(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f56,plain,
! [X0,X1] :
( lazy_impl(X0,X1) = phi(X0)
| bool(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f57,plain,
! [X0,X1] :
( and1(X0,X1) = phi(X0)
| bool(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f58,plain,
! [X0,X1] :
( and1(X0,X1) = phi(X1)
| ~ bool(X0)
| bool(X1) ),
inference(ennf_transformation,[],[f17]) ).
fof(f59,plain,
! [X0,X1] :
( and1(X0,X1) = phi(X1)
| ~ bool(X0)
| bool(X1) ),
inference(flattening,[],[f58]) ).
fof(f60,plain,
! [X0] :
( and1(false,X0) = false
| ~ bool(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f61,plain,
! [X0] :
( and1(true,X0) = X0
| ~ bool(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f62,plain,
! [X0,X1] :
? [X2] :
( and2(X0,X1) = phi(f1(X0,X1,X2))
& ! [X3] : ~ forallprefers(f1(X0,X1,X3),f1(X0,X1,X2)) ),
inference(ennf_transformation,[],[f21]) ).
fof(f64,plain,
! [X0,X1] :
? [X2] :
( lazy_and2(X0,X1) = phi(f2(X0,X1,X2))
& ! [X3] : ~ forallprefers(f2(X0,X1,X3),f2(X0,X1,X2)) ),
inference(ennf_transformation,[],[f26]) ).
fof(f66,plain,
! [X0,X1] :
( or1(X0,X1) = phi(X1)
| ~ bool(X0)
| bool(X1) ),
inference(ennf_transformation,[],[f28]) ).
fof(f67,plain,
! [X0,X1] :
( or1(X0,X1) = phi(X1)
| ~ bool(X0)
| bool(X1) ),
inference(flattening,[],[f66]) ).
fof(f68,plain,
! [X0] :
( or1(true,X0) = true
| ~ bool(X0) ),
inference(ennf_transformation,[],[f29]) ).
fof(f74,plain,
? [X0] :
( false2 = phi(f7(X0))
& ! [X1] : ~ forallprefers(f7(X1),f7(X0)) ),
inference(ennf_transformation,[],[f40]) ).
fof(f75,plain,
! [X0] :
( not1(X0) = phi(X0)
| bool(X0) ),
inference(ennf_transformation,[],[f41]) ).
fof(f76,plain,
? [X0,X1] : and1(X0,X1) != and2(X0,X1),
inference(ennf_transformation,[],[f46]) ).
fof(f77,plain,
! [X0] :
( ( bool(X0)
| ( false != X0
& true != X0 ) )
& ( X0 = false
| X0 = true
| ~ bool(X0) ) ),
inference(nnf_transformation,[],[f1]) ).
fof(f78,plain,
! [X0] :
( ( bool(X0)
| ( false != X0
& true != X0 ) )
& ( X0 = false
| X0 = true
| ~ bool(X0) ) ),
inference(flattening,[],[f77]) ).
fof(f79,plain,
! [X0] :
( ( prop(X0) = true
| ~ bool(X0) )
& ( bool(X0)
| true != prop(X0) ) ),
inference(nnf_transformation,[],[f7]) ).
fof(f80,plain,
! [X0] :
( ( prop(X0) = false
| bool(X0) )
& ( ~ bool(X0)
| false != prop(X0) ) ),
inference(nnf_transformation,[],[f8]) ).
fof(f81,plain,
! [X0,X1] :
( and2(X0,X1) = phi(f1(X0,X1,sK0(X0,X1)))
& ! [X3] : ~ forallprefers(f1(X0,X1,X3),f1(X0,X1,sK0(X0,X1))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0,X1))],[f62]) ).
fof(f82,plain,
! [X0,X1] :
( lazy_and2(X0,X1) = phi(f2(X0,X1,sK1(X0,X1)))
& ! [X3] : ~ forallprefers(f2(X0,X1,X3),f2(X0,X1,sK1(X0,X1))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X2,sK1(X0,X1))],[f64]) ).
fof(f87,plain,
( false2 = phi(f7(sK6))
& ! [X1] : ~ forallprefers(f7(X1),f7(sK6)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(X0,sK6)],[f74]) ).
fof(f88,plain,
and1(sK7,sK8) != and2(sK7,sK8),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7,sK8]),skolemize(X0,sK7),skolemize(X1,sK8)],[f76]) ).
fof(f89,plain,
! [X0] :
( false = X0
| true = X0
| ~ bool(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f90,plain,
! [X0] :
( bool(X0)
| true != X0 ),
inference(cnf_transformation,[],[f78]) ).
fof(f91,plain,
! [X0] :
( bool(X0)
| false != X0 ),
inference(cnf_transformation,[],[f78]) ).
fof(f92,plain,
false != err,
inference(cnf_transformation,[],[f2]) ).
fof(f93,plain,
true != err,
inference(cnf_transformation,[],[f2]) ).
fof(f94,plain,
false != true,
inference(cnf_transformation,[],[f2]) ).
fof(f95,plain,
d(err),
inference(cnf_transformation,[],[f3]) ).
fof(f96,plain,
d(false),
inference(cnf_transformation,[],[f3]) ).
fof(f97,plain,
d(true),
inference(cnf_transformation,[],[f3]) ).
fof(f98,plain,
! [X0,X1] :
( forallprefers(X0,X1)
| false != X0
| true != X1 ),
inference(cnf_transformation,[],[f49]) ).
fof(f99,plain,
! [X0,X1] :
( forallprefers(X0,X1)
| ~ d(X0)
| ~ d(X1)
| bool(X0)
| ~ bool(X1) ),
inference(cnf_transformation,[],[f49]) ).
fof(f100,plain,
! [X0,X1] :
( forallprefers(X0,X1)
| d(X0)
| ~ d(X1) ),
inference(cnf_transformation,[],[f49]) ).
fof(f104,plain,
! [X0] :
( phi(X0) = X0
| err = phi(X0) ),
inference(cnf_transformation,[],[f6]) ).
fof(f105,plain,
! [X0] :
( phi(X0) = X0
| ~ d(X0) ),
inference(cnf_transformation,[],[f6]) ).
fof(f108,plain,
! [X0] :
( true != prop(X0)
| bool(X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f109,plain,
! [X0] :
( ~ bool(X0)
| true = prop(X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f110,plain,
! [X0] :
( ~ bool(X0)
| false != prop(X0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f111,plain,
! [X0] :
( false = prop(X0)
| bool(X0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f112,plain,
! [X0,X1] :
( phi(X0) = impl(X0,X1)
| bool(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f113,plain,
! [X0,X1] :
( impl(X0,X1) = phi(X1)
| ~ bool(X0)
| bool(X1) ),
inference(cnf_transformation,[],[f53]) ).
fof(f114,plain,
! [X0] :
( true = impl(false,X0)
| ~ bool(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f115,plain,
! [X0] :
( ~ bool(X0)
| impl(true,X0) = X0 ),
inference(cnf_transformation,[],[f55]) ).
fof(f116,plain,
! [X0,X1] :
( phi(X0) = lazy_impl(X0,X1)
| bool(X0) ),
inference(cnf_transformation,[],[f56]) ).
fof(f117,plain,
! [X0] : true = lazy_impl(false,X0),
inference(cnf_transformation,[],[f14]) ).
fof(f118,plain,
! [X0] : phi(X0) = lazy_impl(true,X0),
inference(cnf_transformation,[],[f15]) ).
fof(f119,plain,
! [X0,X1] :
( phi(X0) = and1(X0,X1)
| bool(X0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f120,plain,
! [X0,X1] :
( phi(X1) = and1(X0,X1)
| ~ bool(X0)
| bool(X1) ),
inference(cnf_transformation,[],[f59]) ).
fof(f121,plain,
! [X0] :
( false = and1(false,X0)
| ~ bool(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f122,plain,
! [X0] :
( ~ bool(X0)
| and1(true,X0) = X0 ),
inference(cnf_transformation,[],[f61]) ).
fof(f123,plain,
! [X2,X0,X1] : f1(X0,X1,X2) = lazy_impl(prop(X2),impl(impl(X0,impl(X1,X2)),X2)),
inference(cnf_transformation,[],[f20]) ).
fof(f124,plain,
! [X3,X0,X1] : ~ forallprefers(f1(X0,X1,X3),f1(X0,X1,sK0(X0,X1))),
inference(cnf_transformation,[],[f81]) ).
fof(f125,plain,
! [X0,X1] : and2(X0,X1) = phi(f1(X0,X1,sK0(X0,X1))),
inference(cnf_transformation,[],[f81]) ).
fof(f129,plain,
! [X2,X0,X1] : f2(X0,X1,X2) = lazy_impl(prop(X2),impl(lazy_impl(X0,impl(X1,X2)),X2)),
inference(cnf_transformation,[],[f25]) ).
fof(f130,plain,
! [X3,X0,X1] : ~ forallprefers(f2(X0,X1,X3),f2(X0,X1,sK1(X0,X1))),
inference(cnf_transformation,[],[f82]) ).
fof(f133,plain,
! [X0,X1] :
( phi(X1) = or1(X0,X1)
| ~ bool(X0)
| bool(X1) ),
inference(cnf_transformation,[],[f67]) ).
fof(f134,plain,
! [X0] :
( ~ bool(X0)
| true = or1(true,X0) ),
inference(cnf_transformation,[],[f68]) ).
fof(f147,plain,
false = false1,
inference(cnf_transformation,[],[f38]) ).
fof(f148,plain,
! [X0] : f7(X0) = lazy_impl(prop(X0),X0),
inference(cnf_transformation,[],[f39]) ).
fof(f149,plain,
! [X1] : ~ forallprefers(f7(X1),f7(sK6)),
inference(cnf_transformation,[],[f87]) ).
fof(f151,plain,
! [X0] :
( phi(X0) = not1(X0)
| bool(X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f152,plain,
true = not1(false),
inference(cnf_transformation,[],[f42]) ).
fof(f153,plain,
false = not1(true),
inference(cnf_transformation,[],[f43]) ).
fof(f155,plain,
and1(sK7,sK8) != and2(sK7,sK8),
inference(cnf_transformation,[],[f88]) ).
fof(f156,plain,
! [X0,X1] : and2(X0,X1) = lazy_impl(true,lazy_impl(prop(sK0(X0,X1)),impl(impl(X0,impl(X1,sK0(X0,X1))),sK0(X0,X1)))),
inference(definition_unfolding,[],[f125,f118,f123]) ).
fof(f163,plain,
! [X0] :
( bool(X0)
| false1 != X0 ),
inference(definition_unfolding,[],[f91,f147]) ).
fof(f164,plain,
! [X0] :
( ~ bool(X0)
| true = X0
| false1 = X0 ),
inference(definition_unfolding,[],[f89,f147]) ).
fof(f165,plain,
true != false1,
inference(definition_unfolding,[],[f94,f147]) ).
fof(f166,plain,
err != false1,
inference(definition_unfolding,[],[f92,f147]) ).
fof(f167,plain,
d(false1),
inference(definition_unfolding,[],[f96,f147]) ).
fof(f168,plain,
! [X0,X1] :
( forallprefers(X0,X1)
| false1 != X0
| true != X1 ),
inference(definition_unfolding,[],[f98,f147]) ).
fof(f171,plain,
! [X0] :
( ~ d(X0)
| lazy_impl(true,X0) = X0 ),
inference(definition_unfolding,[],[f105,f118]) ).
fof(f172,plain,
! [X0] :
( lazy_impl(true,X0) = X0
| err = lazy_impl(true,X0) ),
inference(definition_unfolding,[],[f104,f118,f118]) ).
fof(f173,plain,
! [X0] :
( bool(X0)
| prop(X0) = false1 ),
inference(definition_unfolding,[],[f111,f147]) ).
fof(f174,plain,
! [X0] :
( prop(X0) != false1
| ~ bool(X0) ),
inference(definition_unfolding,[],[f110,f147]) ).
fof(f175,plain,
! [X0,X1] :
( bool(X0)
| impl(X0,X1) = lazy_impl(true,X0) ),
inference(definition_unfolding,[],[f112,f118]) ).
fof(f176,plain,
! [X0,X1] :
( ~ bool(X0)
| impl(X0,X1) = lazy_impl(true,X1)
| bool(X1) ),
inference(definition_unfolding,[],[f113,f118]) ).
fof(f177,plain,
! [X0] :
( ~ bool(X0)
| true = impl(false1,X0) ),
inference(definition_unfolding,[],[f114,f147]) ).
fof(f178,plain,
! [X0,X1] :
( bool(X0)
| lazy_impl(X0,X1) = lazy_impl(true,X0) ),
inference(definition_unfolding,[],[f116,f118]) ).
fof(f179,plain,
! [X0] : true = lazy_impl(false1,X0),
inference(definition_unfolding,[],[f117,f147]) ).
fof(f180,plain,
! [X0,X1] :
( bool(X0)
| lazy_impl(true,X0) = and1(X0,X1) ),
inference(definition_unfolding,[],[f119,f118]) ).
fof(f181,plain,
! [X0,X1] :
( ~ bool(X0)
| and1(X0,X1) = lazy_impl(true,X1)
| bool(X1) ),
inference(definition_unfolding,[],[f120,f118]) ).
fof(f182,plain,
! [X0] :
( ~ bool(X0)
| false1 = and1(false1,X0) ),
inference(definition_unfolding,[],[f121,f147,f147]) ).
fof(f183,plain,
! [X3,X0,X1] : ~ forallprefers(lazy_impl(prop(X3),impl(impl(X0,impl(X1,X3)),X3)),lazy_impl(prop(sK0(X0,X1)),impl(impl(X0,impl(X1,sK0(X0,X1))),sK0(X0,X1)))),
inference(definition_unfolding,[],[f124,f123,f123]) ).
fof(f187,plain,
! [X3,X0,X1] : ~ forallprefers(lazy_impl(prop(X3),impl(lazy_impl(X0,impl(X1,X3)),X3)),lazy_impl(prop(sK1(X0,X1)),impl(lazy_impl(X0,impl(X1,sK1(X0,X1))),sK1(X0,X1)))),
inference(definition_unfolding,[],[f130,f129,f129]) ).
fof(f189,plain,
! [X0,X1] :
( ~ bool(X0)
| or1(X0,X1) = lazy_impl(true,X1)
| bool(X1) ),
inference(definition_unfolding,[],[f133,f118]) ).
fof(f195,plain,
! [X1] : ~ forallprefers(lazy_impl(prop(X1),X1),lazy_impl(prop(sK6),sK6)),
inference(definition_unfolding,[],[f149,f148,f148]) ).
fof(f196,plain,
! [X0] :
( bool(X0)
| lazy_impl(true,X0) = not1(X0) ),
inference(definition_unfolding,[],[f151,f118]) ).
fof(f197,plain,
true = not1(false1),
inference(definition_unfolding,[],[f152,f147]) ).
fof(f198,plain,
false1 = not1(true),
inference(definition_unfolding,[],[f153,f147]) ).
fof(f199,plain,
and1(sK7,sK8) != lazy_impl(true,lazy_impl(prop(sK0(sK7,sK8)),impl(impl(sK7,impl(sK8,sK0(sK7,sK8))),sK0(sK7,sK8)))),
inference(definition_unfolding,[],[f155,f156]) ).
fof(f200,plain,
bool(false1),
inference(equality_resolution,[],[f163]) ).
fof(f201,plain,
bool(true),
inference(equality_resolution,[],[f90]) ).
fof(f202,plain,
! [X1] :
( forallprefers(false1,X1)
| true != X1 ),
inference(equality_resolution,[],[f168]) ).
fof(f203,plain,
forallprefers(false1,true),
inference(equality_resolution,[],[f202]) ).
fof(f206,definition,
sF9 = and1(sK7,sK8),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f207,plain,
and1(sK7,sK8) = sF9,
inference(reorient_equations,[],[f206]) ).
fof(f208,definition,
sF10 = sK0(sK7,sK8),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f209,plain,
sK0(sK7,sK8) = sF10,
inference(reorient_equations,[],[f208]) ).
fof(f210,definition,
sF11 = prop(sF10),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f211,plain,
prop(sF10) = sF11,
inference(reorient_equations,[],[f210]) ).
fof(f212,definition,
sF12 = impl(sK8,sF10),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
fof(f213,plain,
impl(sK8,sF10) = sF12,
inference(reorient_equations,[],[f212]) ).
fof(f214,definition,
sF13 = impl(sK7,sF12),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
fof(f215,plain,
impl(sK7,sF12) = sF13,
inference(reorient_equations,[],[f214]) ).
fof(f216,definition,
sF14 = impl(sF13,sF10),
introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).
fof(f217,plain,
impl(sF13,sF10) = sF14,
inference(reorient_equations,[],[f216]) ).
fof(f218,definition,
sF15 = lazy_impl(sF11,sF14),
introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).
fof(f219,plain,
lazy_impl(sF11,sF14) = sF15,
inference(reorient_equations,[],[f218]) ).
fof(f220,definition,
sF16 = lazy_impl(true,sF15),
introduced(definition,[new_symbols(definition,[sF16])],[function_definition]) ).
fof(f221,plain,
lazy_impl(true,sF15) = sF16,
inference(reorient_equations,[],[f220]) ).
fof(f222,plain,
sF9 != sF16,
inference(definition_folding,[],[f199,f221,f219,f217,f209,f215,f213,f209,f211,f209,f207]) ).
fof(f223,plain,
! [X0] :
( impl(true,X0) = X0
| prop(X0) = false1 ),
inference(resolution,[],[f173,f115]) ).
fof(f224,plain,
! [X0] :
( and1(true,X0) = X0
| prop(X0) = false1 ),
inference(resolution,[],[f122,f173]) ).
fof(f226,plain,
! [X0] :
( prop(X0) = false1
| true = prop(X0) ),
inference(resolution,[],[f109,f173]) ).
fof(f228,plain,
( false1 = sF11
| true = prop(sF10) ),
inference(superposition,[],[f211,f226]) ).
fof(f230,plain,
! [X0] :
( ~ forallprefers(lazy_impl(prop(X0),X0),lazy_impl(false1,sK6))
| true = prop(sK6) ),
inference(superposition,[],[f195,f226]) ).
fof(f232,plain,
! [X0] :
( ~ forallprefers(lazy_impl(prop(X0),X0),true)
| true = prop(sK6) ),
inference(forward_demodulation,[],[f230,f179]) ).
fof(f234,plain,
( true = sF11
| false1 = sF11 ),
inference(forward_demodulation,[],[f228,f211]) ).
fof(f236,definition,
( spl17_1
<=> true = sF11 ),
introduced(definition,[new_symbols(definition,[spl17_1])],[avatar_definition]) ).
fof(f237,plain,
( true != sF11
| spl17_1 ),
inference(avatar_component_clause,[],[f236]) ).
fof(f238,plain,
( true = sF11
| ~ spl17_1 ),
inference(avatar_component_clause,[],[f236]) ).
fof(f240,definition,
( spl17_2
<=> false1 = sF11 ),
introduced(definition,[new_symbols(definition,[spl17_2])],[avatar_definition]) ).
fof(f242,plain,
( false1 = sF11
| ~ spl17_2 ),
inference(avatar_component_clause,[],[f240]) ).
fof(f245,definition,
( spl17_3
<=> true = prop(sK6) ),
introduced(definition,[new_symbols(definition,[spl17_3])],[avatar_definition]) ).
fof(f247,plain,
( true = prop(sK6)
| ~ spl17_3 ),
inference(avatar_component_clause,[],[f245]) ).
fof(f249,definition,
( spl17_4
<=> ! [X0] : ~ forallprefers(lazy_impl(prop(X0),X0),true) ),
introduced(definition,[new_symbols(definition,[spl17_4])],[avatar_definition]) ).
fof(f250,plain,
( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),X0),true)
| ~ spl17_4 ),
inference(avatar_component_clause,[],[f249]) ).
fof(f251,plain,
( spl17_3
| spl17_4 ),
inference(avatar_split_clause,[],[f232,f249,f245]) ).
fof(f253,definition,
( spl17_5
<=> ! [X0] : true = prop(X0) ),
introduced(definition,[new_symbols(definition,[spl17_5])],[avatar_definition]) ).
fof(f254,plain,
( ! [X0] : true = prop(X0)
| ~ spl17_5 ),
inference(avatar_component_clause,[],[f253]) ).
fof(f260,plain,
( spl17_2
| spl17_1 ),
inference(avatar_split_clause,[],[f234,f236,f240]) ).
fof(f262,plain,
true = prop(true),
inference(resolution,[],[f201,f109]) ).
fof(f263,plain,
true = and1(true,true),
inference(resolution,[],[f201,f122]) ).
fof(f264,plain,
true = impl(true,true),
inference(resolution,[],[f201,f115]) ).
fof(f277,plain,
( false1 != sF11
| ~ bool(sF10) ),
inference(superposition,[],[f174,f211]) ).
fof(f279,plain,
( ~ bool(sF10)
| ~ spl17_2 ),
inference(forward_subsumption_resolution,[],[f277,f242]) ).
fof(f280,plain,
! [X0,X1] :
( lazy_impl(true,X0) = and1(X0,X1)
| false1 = X0
| true = X0 ),
inference(resolution,[],[f164,f180]) ).
fof(f281,plain,
! [X0] :
( prop(X0) = false1
| false1 = X0
| true = X0 ),
inference(resolution,[],[f164,f173]) ).
fof(f288,plain,
! [X0] :
( ~ forallprefers(lazy_impl(prop(X0),X0),lazy_impl(false1,sK6))
| false1 = sK6
| true = sK6 ),
inference(superposition,[],[f195,f281]) ).
fof(f289,plain,
( false1 = sF11
| false1 = sF10
| true = sF10 ),
inference(superposition,[],[f211,f281]) ).
fof(f291,plain,
! [X0] :
( ~ forallprefers(lazy_impl(prop(X0),X0),true)
| false1 = sK6
| true = sK6 ),
inference(forward_demodulation,[],[f288,f179]) ).
fof(f296,definition,
( spl17_7
<=> true = sK6 ),
introduced(definition,[new_symbols(definition,[spl17_7])],[avatar_definition]) ).
fof(f298,plain,
( true = sK6
| ~ spl17_7 ),
inference(avatar_component_clause,[],[f296]) ).
fof(f300,definition,
( spl17_8
<=> false1 = sK6 ),
introduced(definition,[new_symbols(definition,[spl17_8])],[avatar_definition]) ).
fof(f302,plain,
( false1 = sK6
| ~ spl17_8 ),
inference(avatar_component_clause,[],[f300]) ).
fof(f303,plain,
( spl17_7
| spl17_8
| spl17_4 ),
inference(avatar_split_clause,[],[f291,f249,f300,f296]) ).
fof(f311,plain,
! [X0,X1] :
( bool(X1)
| and1(X0,X1) = lazy_impl(true,X1)
| prop(X0) = false1 ),
inference(resolution,[],[f181,f173]) ).
fof(f312,plain,
! [X0] :
( bool(X0)
| lazy_impl(true,X0) = and1(true,X0) ),
inference(resolution,[],[f181,f201]) ).
fof(f314,plain,
! [X0] :
( lazy_impl(true,X0) = and1(true,X0)
| true = X0
| false1 = X0 ),
inference(resolution,[],[f312,f164]) ).
fof(f319,plain,
! [X0,X1] :
( impl(X0,X1) = lazy_impl(true,X0)
| true = X0
| false1 = X0 ),
inference(resolution,[],[f175,f164]) ).
fof(f320,plain,
! [X0,X1] :
( impl(X0,X1) = lazy_impl(true,X0)
| true = prop(X0) ),
inference(resolution,[],[f175,f109]) ).
fof(f322,plain,
! [X0,X1] :
( impl(X0,X1) = lazy_impl(true,X0)
| impl(true,X0) = X0 ),
inference(resolution,[],[f175,f115]) ).
fof(f323,plain,
( sF13 = lazy_impl(true,sK7)
| true = sK7
| false1 = sK7 ),
inference(superposition,[],[f319,f215]) ).
fof(f324,plain,
( sF12 = lazy_impl(true,sK8)
| true = sK8
| false1 = sK8 ),
inference(superposition,[],[f319,f213]) ).
fof(f325,plain,
( sF14 = lazy_impl(true,sF13)
| true = sF13
| false1 = sF13 ),
inference(superposition,[],[f319,f217]) ).
fof(f330,definition,
( spl17_9
<=> false1 = sF13 ),
introduced(definition,[new_symbols(definition,[spl17_9])],[avatar_definition]) ).
fof(f331,plain,
( false1 != sF13
| spl17_9 ),
inference(avatar_component_clause,[],[f330]) ).
fof(f332,plain,
( false1 = sF13
| ~ spl17_9 ),
inference(avatar_component_clause,[],[f330]) ).
fof(f334,definition,
( spl17_10
<=> true = sF13 ),
introduced(definition,[new_symbols(definition,[spl17_10])],[avatar_definition]) ).
fof(f335,plain,
( true != sF13
| spl17_10 ),
inference(avatar_component_clause,[],[f334]) ).
fof(f336,plain,
( true = sF13
| ~ spl17_10 ),
inference(avatar_component_clause,[],[f334]) ).
fof(f338,definition,
( spl17_11
<=> sF14 = lazy_impl(true,sF13) ),
introduced(definition,[new_symbols(definition,[spl17_11])],[avatar_definition]) ).
fof(f339,plain,
( sF14 != lazy_impl(true,sF13)
| spl17_11 ),
inference(avatar_component_clause,[],[f338]) ).
fof(f340,plain,
( sF14 = lazy_impl(true,sF13)
| ~ spl17_11 ),
inference(avatar_component_clause,[],[f338]) ).
fof(f343,definition,
( spl17_12
<=> false1 = sK8 ),
introduced(definition,[new_symbols(definition,[spl17_12])],[avatar_definition]) ).
fof(f344,plain,
( false1 != sK8
| spl17_12 ),
inference(avatar_component_clause,[],[f343]) ).
fof(f345,plain,
( false1 = sK8
| ~ spl17_12 ),
inference(avatar_component_clause,[],[f343]) ).
fof(f347,definition,
( spl17_13
<=> true = sK8 ),
introduced(definition,[new_symbols(definition,[spl17_13])],[avatar_definition]) ).
fof(f348,plain,
( true != sK8
| spl17_13 ),
inference(avatar_component_clause,[],[f347]) ).
fof(f349,plain,
( true = sK8
| ~ spl17_13 ),
inference(avatar_component_clause,[],[f347]) ).
fof(f351,definition,
( spl17_14
<=> sF12 = lazy_impl(true,sK8) ),
introduced(definition,[new_symbols(definition,[spl17_14])],[avatar_definition]) ).
fof(f353,plain,
( sF12 = lazy_impl(true,sK8)
| ~ spl17_14 ),
inference(avatar_component_clause,[],[f351]) ).
fof(f356,definition,
( spl17_15
<=> false1 = sK7 ),
introduced(definition,[new_symbols(definition,[spl17_15])],[avatar_definition]) ).
fof(f357,plain,
( false1 != sK7
| spl17_15 ),
inference(avatar_component_clause,[],[f356]) ).
fof(f358,plain,
( false1 = sK7
| ~ spl17_15 ),
inference(avatar_component_clause,[],[f356]) ).
fof(f360,definition,
( spl17_16
<=> true = sK7 ),
introduced(definition,[new_symbols(definition,[spl17_16])],[avatar_definition]) ).
fof(f361,plain,
( true != sK7
| spl17_16 ),
inference(avatar_component_clause,[],[f360]) ).
fof(f362,plain,
( true = sK7
| ~ spl17_16 ),
inference(avatar_component_clause,[],[f360]) ).
fof(f364,definition,
( spl17_17
<=> sF13 = lazy_impl(true,sK7) ),
introduced(definition,[new_symbols(definition,[spl17_17])],[avatar_definition]) ).
fof(f366,plain,
( sF13 = lazy_impl(true,sK7)
| ~ spl17_17 ),
inference(avatar_component_clause,[],[f364]) ).
fof(f368,plain,
( spl17_9
| spl17_10
| spl17_11 ),
inference(avatar_split_clause,[],[f325,f338,f334,f330]) ).
fof(f369,plain,
( spl17_12
| spl17_13
| spl17_14 ),
inference(avatar_split_clause,[],[f324,f351,f347,f343]) ).
fof(f370,plain,
( spl17_15
| spl17_16
| spl17_17 ),
inference(avatar_split_clause,[],[f323,f364,f360,f356]) ).
fof(f373,plain,
( sF9 = and1(false1,sK8)
| ~ spl17_15 ),
inference(superposition,[],[f207,f358]) ).
fof(f374,plain,
( sF9 = and1(false1,false1)
| ~ spl17_12
| ~ spl17_15 ),
inference(forward_demodulation,[],[f373,f345]) ).
fof(f377,plain,
( sF12 = impl(false1,sF10)
| ~ spl17_12 ),
inference(superposition,[],[f213,f345]) ).
fof(f382,plain,
( sF14 = impl(false1,sF10)
| ~ spl17_9 ),
inference(superposition,[],[f217,f332]) ).
fof(f383,plain,
( sF12 = sF14
| ~ spl17_9
| ~ spl17_12 ),
inference(forward_demodulation,[],[f382,f377]) ).
fof(f388,plain,
true = lazy_impl(true,true),
inference(resolution,[],[f97,f171]) ).
fof(f391,plain,
! [X0] :
( bool(X0)
| lazy_impl(true,X0) = and1(false1,X0) ),
inference(resolution,[],[f200,f181]) ).
fof(f393,plain,
true = prop(false1),
inference(resolution,[],[f200,f109]) ).
fof(f395,plain,
false1 = impl(true,false1),
inference(resolution,[],[f200,f115]) ).
fof(f398,plain,
~ forallprefers(lazy_impl(true,false1),lazy_impl(prop(sK6),sK6)),
inference(superposition,[],[f195,f393]) ).
fof(f399,plain,
( ~ forallprefers(lazy_impl(true,false1),lazy_impl(prop(true),true))
| ~ spl17_7 ),
inference(forward_demodulation,[],[f398,f298]) ).
fof(f400,plain,
( ~ forallprefers(lazy_impl(true,false1),lazy_impl(true,true))
| ~ spl17_7 ),
inference(forward_demodulation,[],[f399,f262]) ).
fof(f416,plain,
! [X0,X1] :
( lazy_impl(X0,X1) = lazy_impl(true,X0)
| true = X0
| false1 = X0 ),
inference(resolution,[],[f178,f164]) ).
fof(f417,plain,
! [X0,X1] :
( lazy_impl(X0,X1) = lazy_impl(true,X0)
| true = prop(X0) ),
inference(resolution,[],[f178,f109]) ).
fof(f418,plain,
! [X0,X1] :
( lazy_impl(X0,X1) = lazy_impl(true,X0)
| and1(true,X0) = X0 ),
inference(resolution,[],[f178,f122]) ).
fof(f419,plain,
! [X0,X1] :
( lazy_impl(X0,X1) = lazy_impl(true,X0)
| impl(true,X0) = X0 ),
inference(resolution,[],[f178,f115]) ).
fof(f426,plain,
( sF15 = sF16
| err = sF16 ),
inference(superposition,[],[f172,f221]) ).
fof(f429,plain,
( err = sF16
| sF15 = sF16 ),
inference(superposition,[],[f172,f221]) ).
fof(f432,plain,
( sF15 = sF16
| err = lazy_impl(true,sF15) ),
inference(superposition,[],[f221,f172]) ).
fof(f446,plain,
( sF15 = lazy_impl(false1,sF14)
| ~ spl17_2 ),
inference(superposition,[],[f219,f242]) ).
fof(f447,plain,
( true = sF15
| ~ spl17_2 ),
inference(forward_demodulation,[],[f446,f179]) ).
fof(f449,plain,
( sF9 = lazy_impl(true,sK7)
| false1 = sK7
| true = sK7 ),
inference(superposition,[],[f207,f280]) ).
fof(f450,plain,
err = lazy_impl(true,err),
inference(resolution,[],[f95,f171]) ).
fof(f452,plain,
! [X0] :
( lazy_impl(true,X0) = and1(false1,X0)
| true = X0
| false1 = X0 ),
inference(resolution,[],[f391,f164]) ).
fof(f456,plain,
! [X0] :
( ~ d(lazy_impl(prop(X0),X0))
| ~ d(lazy_impl(prop(sK6),sK6))
| bool(lazy_impl(prop(X0),X0))
| ~ bool(lazy_impl(prop(sK6),sK6)) ),
inference(resolution,[],[f99,f195]) ).
fof(f470,plain,
! [X2,X0,X1] :
( bool(X1)
| impl(X0,X1) = lazy_impl(true,X1)
| lazy_impl(true,X0) = lazy_impl(X0,X2) ),
inference(resolution,[],[f176,f178]) ).
fof(f474,plain,
! [X0,X1] :
( bool(X1)
| impl(X0,X1) = lazy_impl(true,X1)
| prop(X0) = false1 ),
inference(resolution,[],[f176,f173]) ).
fof(f475,plain,
! [X0] :
( bool(X0)
| impl(true,X0) = lazy_impl(true,X0) ),
inference(resolution,[],[f176,f201]) ).
fof(f476,plain,
! [X0] :
( bool(X0)
| lazy_impl(true,X0) = impl(false1,X0) ),
inference(resolution,[],[f176,f200]) ).
fof(f479,plain,
! [X0] :
( impl(true,X0) = lazy_impl(true,X0)
| true = X0
| false1 = X0 ),
inference(resolution,[],[f475,f164]) ).
fof(f489,plain,
! [X0,X1] :
( bool(X1)
| impl(X0,X1) = lazy_impl(true,X1)
| lazy_impl(true,X0) = not1(X0) ),
inference(resolution,[],[f196,f176]) ).
fof(f490,plain,
! [X0,X1] :
( bool(X1)
| and1(X0,X1) = lazy_impl(true,X1)
| lazy_impl(true,X0) = not1(X0) ),
inference(resolution,[],[f196,f181]) ).
fof(f491,plain,
! [X0] :
( lazy_impl(true,X0) = not1(X0)
| true = X0
| false1 = X0 ),
inference(resolution,[],[f196,f164]) ).
fof(f494,plain,
! [X0] :
( impl(true,X0) = X0
| lazy_impl(true,X0) = not1(X0) ),
inference(resolution,[],[f196,f115]) ).
fof(f495,plain,
! [X0] :
( false1 = and1(false1,X0)
| prop(X0) = false1 ),
inference(resolution,[],[f182,f173]) ).
fof(f496,plain,
! [X0,X1] :
( false1 = and1(false1,X0)
| impl(X0,X1) = lazy_impl(true,X0) ),
inference(resolution,[],[f182,f175]) ).
fof(f504,plain,
false1 = and1(false1,true),
inference(resolution,[],[f182,f201]) ).
fof(f505,plain,
false1 = and1(false1,false1),
inference(resolution,[],[f182,f200]) ).
fof(f506,plain,
( false1 = sF9
| ~ spl17_12
| ~ spl17_15 ),
inference(forward_demodulation,[],[f505,f374]) ).
fof(f510,plain,
! [X0] :
( true = impl(false1,X0)
| prop(X0) = false1 ),
inference(resolution,[],[f177,f173]) ).
fof(f511,plain,
! [X0,X1] :
( true = impl(false1,X0)
| impl(X0,X1) = lazy_impl(true,X0) ),
inference(resolution,[],[f177,f175]) ).
fof(f514,plain,
! [X0] :
( true = impl(false1,X0)
| lazy_impl(true,X0) = not1(X0) ),
inference(resolution,[],[f177,f196]) ).
fof(f519,plain,
true = impl(false1,true),
inference(resolution,[],[f177,f201]) ).
fof(f520,plain,
true = impl(false1,false1),
inference(resolution,[],[f177,f200]) ).
fof(f525,plain,
false1 = lazy_impl(true,false1),
inference(resolution,[],[f167,f171]) ).
fof(f528,plain,
! [X0,X1] :
( and1(X0,X1) = lazy_impl(true,X1)
| and1(true,X1) = X1
| prop(X0) = false1 ),
inference(resolution,[],[f311,f122]) ).
fof(f529,plain,
! [X0,X1] :
( and1(X0,X1) = lazy_impl(true,X1)
| prop(X0) = false1
| true = X1
| false1 = X1 ),
inference(resolution,[],[f311,f164]) ).
fof(f541,plain,
( sF9 = lazy_impl(true,sK8)
| false1 = prop(sK7)
| true = sK8
| false1 = sK8 ),
inference(superposition,[],[f207,f529]) ).
fof(f546,plain,
( lazy_impl(true,sF10) = not1(sF10)
| ~ spl17_2 ),
inference(resolution,[],[f279,f196]) ).
fof(f551,plain,
( impl(false1,sF10) = lazy_impl(true,sF10)
| ~ spl17_2 ),
inference(resolution,[],[f279,f476]) ).
fof(f552,plain,
( sF12 = lazy_impl(true,sF10)
| ~ spl17_2
| ~ spl17_12 ),
inference(forward_demodulation,[],[f551,f377]) ).
fof(f557,plain,
( sF12 = not1(sF10)
| ~ spl17_2
| ~ spl17_12 ),
inference(forward_demodulation,[],[f552,f546]) ).
fof(f559,plain,
! [X0,X1] :
( impl(X0,X1) = lazy_impl(true,X1)
| prop(X0) = false1
| true = prop(X1) ),
inference(resolution,[],[f474,f109]) ).
fof(f560,plain,
! [X0,X1] :
( impl(X0,X1) = lazy_impl(true,X1)
| impl(true,X1) = X1
| prop(X0) = false1 ),
inference(resolution,[],[f474,f115]) ).
fof(f562,plain,
! [X0,X1] :
( impl(X0,X1) = lazy_impl(true,X1)
| prop(X0) = false1
| true = X1
| false1 = X1 ),
inference(resolution,[],[f474,f164]) ).
fof(f574,plain,
( sF13 = lazy_impl(true,sF12)
| false1 = prop(sK7)
| true = sF12
| false1 = sF12 ),
inference(superposition,[],[f562,f215]) ).
fof(f576,plain,
( sF14 = lazy_impl(true,sF10)
| false1 = prop(sF13)
| true = sF10
| false1 = sF10 ),
inference(superposition,[],[f562,f217]) ).
fof(f582,plain,
( sF12 = lazy_impl(true,sF10)
| false1 = prop(sK8)
| true = sF10
| false1 = sF10 ),
inference(superposition,[],[f213,f562]) ).
fof(f583,plain,
( sF14 = lazy_impl(true,sF10)
| false1 = prop(sF13)
| true = sF10
| false1 = sF10 ),
inference(superposition,[],[f217,f562]) ).
fof(f588,plain,
( sF14 = not1(sF10)
| false1 = prop(sF13)
| true = sF10
| false1 = sF10
| ~ spl17_2 ),
inference(forward_demodulation,[],[f576,f546]) ).
fof(f590,plain,
( false1 = lazy_impl(true,sF12)
| false1 = prop(sK7)
| true = sF12
| false1 = sF12
| ~ spl17_9 ),
inference(forward_demodulation,[],[f574,f332]) ).
fof(f594,plain,
( sF12 = sF14
| false1 = prop(sF13)
| true = sF10
| false1 = sF10
| ~ spl17_2
| ~ spl17_12 ),
inference(forward_demodulation,[],[f588,f557]) ).
fof(f595,plain,
( false1 = prop(false1)
| false1 = lazy_impl(true,sF12)
| true = sF12
| false1 = sF12
| ~ spl17_9
| ~ spl17_15 ),
inference(forward_demodulation,[],[f590,f358]) ).
fof(f597,plain,
( true = false1
| false1 = lazy_impl(true,sF12)
| true = sF12
| false1 = sF12
| ~ spl17_9
| ~ spl17_15 ),
inference(forward_demodulation,[],[f595,f393]) ).
fof(f599,plain,
( false1 = lazy_impl(true,sF12)
| true = sF12
| false1 = sF12
| ~ spl17_9
| ~ spl17_15 ),
inference(forward_subsumption_resolution,[],[f597,f165]) ).
fof(f601,definition,
( spl17_18
<=> false1 = sF12 ),
introduced(definition,[new_symbols(definition,[spl17_18])],[avatar_definition]) ).
fof(f602,plain,
( false1 != sF12
| spl17_18 ),
inference(avatar_component_clause,[],[f601]) ).
fof(f603,plain,
( false1 = sF12
| ~ spl17_18 ),
inference(avatar_component_clause,[],[f601]) ).
fof(f605,definition,
( spl17_19
<=> true = sF12 ),
introduced(definition,[new_symbols(definition,[spl17_19])],[avatar_definition]) ).
fof(f606,plain,
( true != sF12
| spl17_19 ),
inference(avatar_component_clause,[],[f605]) ).
fof(f607,plain,
( true = sF12
| ~ spl17_19 ),
inference(avatar_component_clause,[],[f605]) ).
fof(f609,definition,
( spl17_20
<=> false1 = lazy_impl(true,sF12) ),
introduced(definition,[new_symbols(definition,[spl17_20])],[avatar_definition]) ).
fof(f610,plain,
( false1 != lazy_impl(true,sF12)
| spl17_20 ),
inference(avatar_component_clause,[],[f609]) ).
fof(f611,plain,
( false1 = lazy_impl(true,sF12)
| ~ spl17_20 ),
inference(avatar_component_clause,[],[f609]) ).
fof(f613,plain,
( spl17_18
| spl17_19
| spl17_20
| ~ spl17_9
| ~ spl17_15 ),
inference(avatar_split_clause,[],[f599,f356,f330,f609,f605,f601]) ).
fof(f615,plain,
( ~ forallprefers(lazy_impl(true,false1),true)
| ~ spl17_7 ),
inference(forward_demodulation,[],[f400,f388]) ).
fof(f616,plain,
( err = sF16
| sF15 = sF16 ),
inference(forward_demodulation,[],[f432,f221]) ).
fof(f618,definition,
( spl17_21
<=> sF15 = sF16 ),
introduced(definition,[new_symbols(definition,[spl17_21])],[avatar_definition]) ).
fof(f620,plain,
( sF15 = sF16
| ~ spl17_21 ),
inference(avatar_component_clause,[],[f618]) ).
fof(f622,definition,
( spl17_22
<=> err = sF16 ),
introduced(definition,[new_symbols(definition,[spl17_22])],[avatar_definition]) ).
fof(f623,plain,
( err != sF16
| spl17_22 ),
inference(avatar_component_clause,[],[f622]) ).
fof(f624,plain,
( err = sF16
| ~ spl17_22 ),
inference(avatar_component_clause,[],[f622]) ).
fof(f625,plain,
( spl17_21
| spl17_22 ),
inference(avatar_split_clause,[],[f429,f622,f618]) ).
fof(f626,plain,
( spl17_22
| spl17_21 ),
inference(avatar_split_clause,[],[f426,f618,f622]) ).
fof(f631,plain,
( false1 = prop(true)
| sF12 = sF14
| true = sF10
| false1 = sF10
| ~ spl17_2
| ~ spl17_10
| ~ spl17_12 ),
inference(forward_demodulation,[],[f594,f336]) ).
fof(f632,plain,
( ~ forallprefers(false1,true)
| ~ spl17_7 ),
inference(forward_demodulation,[],[f615,f525]) ).
fof(f638,plain,
( true = false1
| sF12 = sF14
| true = sF10
| false1 = sF10
| ~ spl17_2
| ~ spl17_10
| ~ spl17_12 ),
inference(forward_demodulation,[],[f631,f262]) ).
fof(f639,plain,
( $false
| ~ spl17_7 ),
inference(forward_subsumption_resolution,[],[f632,f203]) ).
fof(f640,plain,
~ spl17_7,
inference(avatar_contradiction_clause,[],[f639]) ).
fof(f642,definition,
( spl17_23
<=> true = sF16 ),
introduced(definition,[new_symbols(definition,[spl17_23])],[avatar_definition]) ).
fof(f644,plain,
( true = sF16
| ~ spl17_23 ),
inference(avatar_component_clause,[],[f642]) ).
fof(f650,plain,
( sF12 = sF14
| true = sF10
| false1 = sF10
| ~ spl17_2
| ~ spl17_10
| ~ spl17_12 ),
inference(forward_subsumption_resolution,[],[f638,f165]) ).
fof(f655,definition,
( spl17_24
<=> false1 = sF10 ),
introduced(definition,[new_symbols(definition,[spl17_24])],[avatar_definition]) ).
fof(f656,plain,
( false1 != sF10
| spl17_24 ),
inference(avatar_component_clause,[],[f655]) ).
fof(f657,plain,
( false1 = sF10
| ~ spl17_24 ),
inference(avatar_component_clause,[],[f655]) ).
fof(f659,definition,
( spl17_25
<=> true = sF10 ),
introduced(definition,[new_symbols(definition,[spl17_25])],[avatar_definition]) ).
fof(f660,plain,
( true != sF10
| spl17_25 ),
inference(avatar_component_clause,[],[f659]) ).
fof(f661,plain,
( true = sF10
| ~ spl17_25 ),
inference(avatar_component_clause,[],[f659]) ).
fof(f663,definition,
( spl17_26
<=> sF12 = sF14 ),
introduced(definition,[new_symbols(definition,[spl17_26])],[avatar_definition]) ).
fof(f665,plain,
( sF12 = sF14
| ~ spl17_26 ),
inference(avatar_component_clause,[],[f663]) ).
fof(f667,plain,
( spl17_24
| spl17_25
| spl17_26
| ~ spl17_2
| ~ spl17_10
| ~ spl17_12 ),
inference(avatar_split_clause,[],[f650,f343,f334,f240,f663,f659,f655]) ).
fof(f677,plain,
( false1 = prop(false1)
| sF13 = lazy_impl(true,sF12)
| true = sF12
| false1 = sF12
| ~ spl17_15 ),
inference(forward_demodulation,[],[f574,f358]) ).
fof(f679,definition,
( spl17_28
<=> false1 = prop(sF13) ),
introduced(definition,[new_symbols(definition,[spl17_28])],[avatar_definition]) ).
fof(f680,plain,
( false1 != prop(sF13)
| spl17_28 ),
inference(avatar_component_clause,[],[f679]) ).
fof(f681,plain,
( false1 = prop(sF13)
| ~ spl17_28 ),
inference(avatar_component_clause,[],[f679]) ).
fof(f686,definition,
( spl17_29
<=> bool(lazy_impl(prop(sK6),sK6)) ),
introduced(definition,[new_symbols(definition,[spl17_29])],[avatar_definition]) ).
fof(f688,plain,
( ~ bool(lazy_impl(prop(sK6),sK6))
| spl17_29 ),
inference(avatar_component_clause,[],[f686]) ).
fof(f690,definition,
( spl17_30
<=> d(lazy_impl(prop(sK6),sK6)) ),
introduced(definition,[new_symbols(definition,[spl17_30])],[avatar_definition]) ).
fof(f692,plain,
( ~ d(lazy_impl(prop(sK6),sK6))
| spl17_30 ),
inference(avatar_component_clause,[],[f690]) ).
fof(f694,definition,
( spl17_31
<=> ! [X0] :
( ~ d(lazy_impl(prop(X0),X0))
| bool(lazy_impl(prop(X0),X0)) ) ),
introduced(definition,[new_symbols(definition,[spl17_31])],[avatar_definition]) ).
fof(f695,plain,
( ! [X0] :
( ~ d(lazy_impl(prop(X0),X0))
| bool(lazy_impl(prop(X0),X0)) )
| ~ spl17_31 ),
inference(avatar_component_clause,[],[f694]) ).
fof(f696,plain,
( ~ spl17_29
| ~ spl17_30
| spl17_31 ),
inference(avatar_split_clause,[],[f456,f694,f690,f686]) ).
fof(f700,plain,
( true = false1
| sF13 = lazy_impl(true,sF12)
| true = sF12
| false1 = sF12
| ~ spl17_15 ),
inference(forward_demodulation,[],[f677,f393]) ).
fof(f702,plain,
( sF13 = lazy_impl(true,sF12)
| true = sF12
| false1 = sF12
| ~ spl17_15 ),
inference(forward_subsumption_resolution,[],[f700,f165]) ).
fof(f704,definition,
( spl17_32
<=> sF13 = lazy_impl(true,sF12) ),
introduced(definition,[new_symbols(definition,[spl17_32])],[avatar_definition]) ).
fof(f705,plain,
( sF13 != lazy_impl(true,sF12)
| spl17_32 ),
inference(avatar_component_clause,[],[f704]) ).
fof(f706,plain,
( sF13 = lazy_impl(true,sF12)
| ~ spl17_32 ),
inference(avatar_component_clause,[],[f704]) ).
fof(f708,plain,
( spl17_18
| spl17_19
| spl17_32
| ~ spl17_15 ),
inference(avatar_split_clause,[],[f702,f356,f704,f605,f601]) ).
fof(f710,plain,
( false1 = prop(true)
| sF13 = lazy_impl(true,sF12)
| true = sF12
| false1 = sF12
| ~ spl17_16 ),
inference(forward_demodulation,[],[f574,f362]) ).
fof(f721,plain,
( true = false1
| sF13 = lazy_impl(true,sF12)
| true = sF12
| false1 = sF12
| ~ spl17_16 ),
inference(forward_demodulation,[],[f710,f262]) ).
fof(f725,plain,
( sF13 = lazy_impl(true,sF12)
| true = sF12
| false1 = sF12
| ~ spl17_16 ),
inference(forward_subsumption_resolution,[],[f721,f165]) ).
fof(f729,plain,
( spl17_18
| spl17_19
| spl17_32
| ~ spl17_16 ),
inference(avatar_split_clause,[],[f725,f360,f704,f605,f601]) ).
fof(f736,plain,
( sF9 = lazy_impl(true,sK7)
| true = sK7
| spl17_15 ),
inference(forward_subsumption_resolution,[],[f449,f357]) ).
fof(f739,definition,
( spl17_35
<=> false1 = prop(sK7) ),
introduced(definition,[new_symbols(definition,[spl17_35])],[avatar_definition]) ).
fof(f740,plain,
( false1 != prop(sK7)
| spl17_35 ),
inference(avatar_component_clause,[],[f739]) ).
fof(f741,plain,
( false1 = prop(sK7)
| ~ spl17_35 ),
inference(avatar_component_clause,[],[f739]) ).
fof(f743,plain,
( spl17_18
| spl17_19
| spl17_35
| spl17_32 ),
inference(avatar_split_clause,[],[f574,f704,f739,f605,f601]) ).
fof(f744,plain,
( sF9 = lazy_impl(true,sK7)
| spl17_15
| spl17_16 ),
inference(forward_subsumption_resolution,[],[f736,f361]) ).
fof(f746,plain,
( sF9 = sF13
| spl17_15
| spl17_16
| ~ spl17_17 ),
inference(forward_demodulation,[],[f744,f366]) ).
fof(f772,plain,
( sF16 = lazy_impl(true,true)
| ~ spl17_2 ),
inference(superposition,[],[f221,f447]) ).
fof(f773,plain,
( true = sF16
| ~ spl17_2 ),
inference(forward_demodulation,[],[f772,f388]) ).
fof(f774,plain,
( true = err
| ~ spl17_2
| ~ spl17_22 ),
inference(forward_demodulation,[],[f773,f624]) ).
fof(f775,plain,
( $false
| ~ spl17_2
| ~ spl17_22 ),
inference(forward_subsumption_resolution,[],[f774,f93]) ).
fof(f776,plain,
( ~ spl17_2
| ~ spl17_22 ),
inference(avatar_contradiction_clause,[],[f775]) ).
fof(f778,plain,
( true != sF9
| ~ spl17_23 ),
inference(superposition,[],[f222,f644]) ).
fof(f785,plain,
( sF11 = prop(false1)
| ~ spl17_24 ),
inference(superposition,[],[f211,f657]) ).
fof(f786,plain,
( sF14 = impl(sF13,false1)
| ~ spl17_24 ),
inference(superposition,[],[f217,f657]) ).
fof(f789,plain,
( sF14 = impl(false1,false1)
| ~ spl17_9
| ~ spl17_24 ),
inference(forward_demodulation,[],[f786,f332]) ).
fof(f790,plain,
( true = sF11
| ~ spl17_24 ),
inference(forward_demodulation,[],[f785,f393]) ).
fof(f793,plain,
( true = sF14
| ~ spl17_9
| ~ spl17_24 ),
inference(forward_demodulation,[],[f789,f520]) ).
fof(f794,plain,
( true = false1
| ~ spl17_2
| ~ spl17_24 ),
inference(forward_demodulation,[],[f790,f242]) ).
fof(f795,plain,
( $false
| ~ spl17_2
| ~ spl17_24 ),
inference(forward_subsumption_resolution,[],[f794,f165]) ).
fof(f796,plain,
( ~ spl17_2
| ~ spl17_24 ),
inference(avatar_contradiction_clause,[],[f795]) ).
fof(f800,plain,
( sF11 = prop(true)
| ~ spl17_25 ),
inference(superposition,[],[f211,f661]) ).
fof(f805,plain,
( true = sF11
| ~ spl17_25 ),
inference(forward_demodulation,[],[f800,f262]) ).
fof(f809,plain,
( true = false1
| ~ spl17_2
| ~ spl17_25 ),
inference(forward_demodulation,[],[f805,f242]) ).
fof(f811,plain,
( $false
| ~ spl17_2
| ~ spl17_25 ),
inference(forward_subsumption_resolution,[],[f809,f165]) ).
fof(f812,plain,
( ~ spl17_2
| ~ spl17_25 ),
inference(avatar_contradiction_clause,[],[f811]) ).
fof(f817,plain,
( false1 = sF11
| true = sF10
| spl17_24 ),
inference(forward_subsumption_resolution,[],[f289,f656]) ).
fof(f824,plain,
( sF15 = sF16
| spl17_22 ),
inference(forward_subsumption_resolution,[],[f616,f623]) ).
fof(f826,plain,
( true = false1
| true = sF10
| ~ spl17_1
| spl17_24 ),
inference(forward_demodulation,[],[f817,f238]) ).
fof(f833,plain,
( true = sF10
| ~ spl17_1
| spl17_24 ),
inference(forward_subsumption_resolution,[],[f826,f165]) ).
fof(f837,definition,
( spl17_36
<=> false1 = prop(sK8) ),
introduced(definition,[new_symbols(definition,[spl17_36])],[avatar_definition]) ).
fof(f839,plain,
( false1 = prop(sK8)
| ~ spl17_36 ),
inference(avatar_component_clause,[],[f837]) ).
fof(f847,plain,
( spl17_25
| ~ spl17_1
| spl17_24 ),
inference(avatar_split_clause,[],[f833,f655,f236,f659]) ).
fof(f857,plain,
( sF14 = impl(sF13,true)
| ~ spl17_25 ),
inference(superposition,[],[f217,f661]) ).
fof(f858,plain,
( sF12 = impl(sK8,true)
| ~ spl17_25 ),
inference(superposition,[],[f213,f661]) ).
fof(f871,plain,
( sK7 = sF13
| err = lazy_impl(true,sK7)
| ~ spl17_17 ),
inference(superposition,[],[f366,f172]) ).
fof(f876,plain,
( false1 = sK7
| err = lazy_impl(true,sK7)
| ~ spl17_9
| ~ spl17_17 ),
inference(forward_demodulation,[],[f871,f332]) ).
fof(f879,plain,
( err = lazy_impl(true,sK7)
| ~ spl17_9
| spl17_15
| ~ spl17_17 ),
inference(forward_subsumption_resolution,[],[f876,f357]) ).
fof(f882,plain,
( err = sF13
| ~ spl17_9
| spl17_15
| ~ spl17_17 ),
inference(forward_demodulation,[],[f879,f366]) ).
fof(f887,plain,
( err = false1
| ~ spl17_9
| spl17_15
| ~ spl17_17 ),
inference(forward_demodulation,[],[f882,f332]) ).
fof(f888,plain,
( $false
| ~ spl17_9
| spl17_15
| ~ spl17_17 ),
inference(forward_subsumption_resolution,[],[f887,f166]) ).
fof(f889,plain,
( ~ spl17_9
| spl17_15
| ~ spl17_17 ),
inference(avatar_contradiction_clause,[],[f888]) ).
fof(f898,plain,
( sF13 = impl(true,sF12)
| ~ spl17_16 ),
inference(superposition,[],[f215,f362]) ).
fof(f900,plain,
( sF9 = and1(true,sK8)
| ~ spl17_16 ),
inference(superposition,[],[f207,f362]) ).
fof(f903,plain,
( sF13 = impl(true,false1)
| ~ spl17_16
| ~ spl17_18 ),
inference(forward_demodulation,[],[f898,f603]) ).
fof(f904,plain,
( false1 = sF13
| ~ spl17_16
| ~ spl17_18 ),
inference(forward_demodulation,[],[f903,f395]) ).
fof(f915,plain,
( sF9 = and1(true,true)
| ~ spl17_13
| ~ spl17_16 ),
inference(forward_demodulation,[],[f900,f349]) ).
fof(f916,plain,
( true = sF9
| ~ spl17_13
| ~ spl17_16 ),
inference(forward_demodulation,[],[f915,f263]) ).
fof(f917,plain,
( $false
| ~ spl17_13
| ~ spl17_16
| ~ spl17_23 ),
inference(forward_subsumption_resolution,[],[f916,f778]) ).
fof(f918,plain,
( ~ spl17_13
| ~ spl17_16
| ~ spl17_23 ),
inference(avatar_contradiction_clause,[],[f917]) ).
fof(f921,plain,
( sF9 = lazy_impl(true,sK8)
| false1 = prop(sK7)
| false1 = sK8
| spl17_13 ),
inference(forward_subsumption_resolution,[],[f541,f348]) ).
fof(f924,plain,
( sF9 = lazy_impl(true,sK8)
| false1 = prop(sK7)
| spl17_12
| spl17_13 ),
inference(forward_subsumption_resolution,[],[f921,f344]) ).
fof(f926,plain,
( sF9 = sF12
| false1 = prop(sK7)
| spl17_12
| spl17_13
| ~ spl17_14 ),
inference(forward_demodulation,[],[f924,f353]) ).
fof(f928,plain,
( false1 = prop(true)
| sF9 = sF12
| spl17_12
| spl17_13
| ~ spl17_14
| ~ spl17_16 ),
inference(forward_demodulation,[],[f926,f362]) ).
fof(f930,plain,
( true = false1
| sF9 = sF12
| spl17_12
| spl17_13
| ~ spl17_14
| ~ spl17_16 ),
inference(forward_demodulation,[],[f928,f262]) ).
fof(f932,plain,
( sF9 = sF12
| spl17_12
| spl17_13
| ~ spl17_14
| ~ spl17_16 ),
inference(forward_subsumption_resolution,[],[f930,f165]) ).
fof(f940,plain,
( sK8 = sF9
| false1 = prop(sK8)
| ~ spl17_16 ),
inference(superposition,[],[f224,f900]) ).
fof(f950,definition,
( spl17_39
<=> sK8 = sF12 ),
introduced(definition,[new_symbols(definition,[spl17_39])],[avatar_definition]) ).
fof(f951,plain,
( sK8 != sF12
| spl17_39 ),
inference(avatar_component_clause,[],[f950]) ).
fof(f952,plain,
( sK8 = sF12
| ~ spl17_39 ),
inference(avatar_component_clause,[],[f950]) ).
fof(f972,plain,
( sF12 = lazy_impl(true,sF12)
| ~ spl17_14
| ~ spl17_39 ),
inference(superposition,[],[f353,f952]) ).
fof(f974,plain,
( err = sF12
| sK8 = sF12
| ~ spl17_14 ),
inference(superposition,[],[f172,f353]) ).
fof(f976,plain,
( false1 = sF12
| ~ spl17_14
| ~ spl17_20
| ~ spl17_39 ),
inference(forward_demodulation,[],[f972,f611]) ).
fof(f977,plain,
( $false
| ~ spl17_14
| spl17_18
| ~ spl17_20
| ~ spl17_39 ),
inference(forward_subsumption_resolution,[],[f976,f602]) ).
fof(f978,plain,
( ~ spl17_14
| spl17_18
| ~ spl17_20
| ~ spl17_39 ),
inference(avatar_contradiction_clause,[],[f977]) ).
fof(f984,plain,
( sF13 = impl(sK7,true)
| ~ spl17_19 ),
inference(superposition,[],[f215,f607]) ).
fof(f985,plain,
( sF13 = impl(true,true)
| ~ spl17_16
| ~ spl17_19 ),
inference(forward_demodulation,[],[f984,f362]) ).
fof(f986,plain,
( true = sF13
| ~ spl17_16
| ~ spl17_19 ),
inference(forward_demodulation,[],[f985,f264]) ).
fof(f987,plain,
( $false
| spl17_10
| ~ spl17_16
| ~ spl17_19 ),
inference(forward_subsumption_resolution,[],[f986,f335]) ).
fof(f988,plain,
( spl17_10
| ~ spl17_16
| ~ spl17_19 ),
inference(avatar_contradiction_clause,[],[f987]) ).
fof(f990,plain,
( sF12 = sF13
| ~ spl17_14
| ~ spl17_32
| ~ spl17_39 ),
inference(forward_demodulation,[],[f972,f706]) ).
fof(f999,plain,
( ~ forallprefers(lazy_impl(true,false1),true)
| ~ spl17_4 ),
inference(superposition,[],[f250,f393]) ).
fof(f1003,plain,
( ~ forallprefers(false1,true)
| ~ spl17_4 ),
inference(forward_demodulation,[],[f999,f525]) ).
fof(f1009,plain,
( $false
| ~ spl17_4 ),
inference(forward_subsumption_resolution,[],[f1003,f203]) ).
fof(f1010,plain,
~ spl17_4,
inference(avatar_contradiction_clause,[],[f1009]) ).
fof(f1014,plain,
( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),X0),lazy_impl(prop(false1),false1))
| ~ spl17_8 ),
inference(superposition,[],[f195,f302]) ).
fof(f1015,plain,
( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),X0),lazy_impl(true,false1))
| ~ spl17_8 ),
inference(forward_demodulation,[],[f1014,f393]) ).
fof(f1016,plain,
( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),X0),false1)
| ~ spl17_8 ),
inference(forward_demodulation,[],[f1015,f525]) ).
fof(f1030,plain,
( sF9 != sF15
| ~ spl17_21 ),
inference(superposition,[],[f222,f620]) ).
fof(f1031,plain,
( sF12 != sF15
| spl17_12
| spl17_13
| ~ spl17_14
| ~ spl17_16
| ~ spl17_21 ),
inference(forward_demodulation,[],[f1030,f932]) ).
fof(f1033,plain,
( sF15 = lazy_impl(true,sF14)
| ~ spl17_1 ),
inference(superposition,[],[f219,f238]) ).
fof(f1054,plain,
( sF13 = sF14
| err = sF14
| ~ spl17_11 ),
inference(superposition,[],[f172,f340]) ).
fof(f1059,definition,
( spl17_40
<=> err = sF14 ),
introduced(definition,[new_symbols(definition,[spl17_40])],[avatar_definition]) ).
fof(f1060,plain,
( err != sF14
| spl17_40 ),
inference(avatar_component_clause,[],[f1059]) ).
fof(f1061,plain,
( err = sF14
| ~ spl17_40 ),
inference(avatar_component_clause,[],[f1059]) ).
fof(f1066,plain,
( sF15 = lazy_impl(sF11,err)
| ~ spl17_40 ),
inference(superposition,[],[f219,f1061]) ).
fof(f1067,plain,
( sF15 = lazy_impl(true,err)
| ~ spl17_1
| ~ spl17_40 ),
inference(forward_demodulation,[],[f1066,f238]) ).
fof(f1068,plain,
( err = sF15
| ~ spl17_1
| ~ spl17_40 ),
inference(forward_demodulation,[],[f1067,f450]) ).
fof(f1084,plain,
( sF12 = sF13
| err = lazy_impl(true,sF12)
| ~ spl17_32 ),
inference(superposition,[],[f706,f172]) ).
fof(f1091,plain,
( ~ d(lazy_impl(prop(false1),false1))
| ~ spl17_8
| spl17_30 ),
inference(superposition,[],[f692,f302]) ).
fof(f1093,plain,
( ~ d(lazy_impl(true,false1))
| ~ spl17_8
| spl17_30 ),
inference(forward_demodulation,[],[f1091,f393]) ).
fof(f1095,plain,
( ~ d(false1)
| ~ spl17_8
| spl17_30 ),
inference(forward_demodulation,[],[f1093,f525]) ).
fof(f1097,plain,
( $false
| ~ spl17_8
| spl17_30 ),
inference(forward_subsumption_resolution,[],[f1095,f167]) ).
fof(f1098,plain,
( ~ spl17_8
| spl17_30 ),
inference(avatar_contradiction_clause,[],[f1097]) ).
fof(f1101,plain,
( ~ bool(lazy_impl(prop(false1),false1))
| ~ spl17_8
| spl17_29 ),
inference(forward_demodulation,[],[f688,f302]) ).
fof(f1103,plain,
( ~ bool(lazy_impl(true,false1))
| ~ spl17_8
| spl17_29 ),
inference(forward_demodulation,[],[f1101,f393]) ).
fof(f1105,plain,
( ~ bool(false1)
| ~ spl17_8
| spl17_29 ),
inference(forward_demodulation,[],[f1103,f525]) ).
fof(f1107,plain,
( $false
| ~ spl17_8
| spl17_29 ),
inference(forward_subsumption_resolution,[],[f1105,f200]) ).
fof(f1108,plain,
( ~ spl17_8
| spl17_29 ),
inference(avatar_contradiction_clause,[],[f1107]) ).
fof(f1114,plain,
( sF16 = lazy_impl(true,err)
| ~ spl17_1
| ~ spl17_40 ),
inference(superposition,[],[f221,f1068]) ).
fof(f1115,plain,
( err = sF16
| ~ spl17_1
| ~ spl17_40 ),
inference(forward_demodulation,[],[f1114,f450]) ).
fof(f1116,plain,
( $false
| ~ spl17_1
| spl17_22
| ~ spl17_40 ),
inference(forward_subsumption_resolution,[],[f1115,f623]) ).
fof(f1117,plain,
( ~ spl17_1
| spl17_22
| ~ spl17_40 ),
inference(avatar_contradiction_clause,[],[f1116]) ).
fof(f1123,definition,
( spl17_41
<=> false1 = prop(sF12) ),
introduced(definition,[new_symbols(definition,[spl17_41])],[avatar_definition]) ).
fof(f1124,plain,
( false1 != prop(sF12)
| spl17_41 ),
inference(avatar_component_clause,[],[f1123]) ).
fof(f1125,plain,
( false1 = prop(sF12)
| ~ spl17_41 ),
inference(avatar_component_clause,[],[f1123]) ).
fof(f1127,definition,
( spl17_42
<=> sF12 = sF13 ),
introduced(definition,[new_symbols(definition,[spl17_42])],[avatar_definition]) ).
fof(f1128,plain,
( sF12 != sF13
| spl17_42 ),
inference(avatar_component_clause,[],[f1127]) ).
fof(f1129,plain,
( sF12 = sF13
| ~ spl17_42 ),
inference(avatar_component_clause,[],[f1127]) ).
fof(f1132,plain,
( sF13 = sF14
| ~ spl17_11
| spl17_40 ),
inference(forward_subsumption_resolution,[],[f1054,f1060]) ).
fof(f1136,definition,
( spl17_43
<=> err = sF13 ),
introduced(definition,[new_symbols(definition,[spl17_43])],[avatar_definition]) ).
fof(f1137,plain,
( err != sF13
| spl17_43 ),
inference(avatar_component_clause,[],[f1136]) ).
fof(f1138,plain,
( err = sF13
| ~ spl17_43 ),
inference(avatar_component_clause,[],[f1136]) ).
fof(f1141,plain,
( err = sF13
| sF12 = sF13
| ~ spl17_32 ),
inference(forward_demodulation,[],[f1084,f706]) ).
fof(f1144,plain,
( true != sF15
| ~ spl17_13
| ~ spl17_16
| ~ spl17_21 ),
inference(forward_demodulation,[],[f1030,f916]) ).
fof(f1148,plain,
( spl17_42
| spl17_43
| ~ spl17_32 ),
inference(avatar_split_clause,[],[f1141,f704,f1136,f1127]) ).
fof(f1157,plain,
( false1 = sF9
| false1 = prop(sK8)
| ~ spl17_12
| ~ spl17_16 ),
inference(forward_demodulation,[],[f940,f345]) ).
fof(f1162,plain,
( false1 = prop(false1)
| false1 = sF9
| ~ spl17_12
| ~ spl17_16 ),
inference(forward_demodulation,[],[f1157,f345]) ).
fof(f1165,plain,
( true = false1
| false1 = sF9
| ~ spl17_12
| ~ spl17_16 ),
inference(forward_demodulation,[],[f1162,f393]) ).
fof(f1167,plain,
( false1 = sF9
| ~ spl17_12
| ~ spl17_16 ),
inference(forward_subsumption_resolution,[],[f1165,f165]) ).
fof(f1171,plain,
( sF12 = impl(false1,sF10)
| ~ spl17_12 ),
inference(superposition,[],[f213,f345]) ).
fof(f1176,plain,
( sF12 = impl(false1,true)
| ~ spl17_12
| ~ spl17_25 ),
inference(forward_demodulation,[],[f1171,f661]) ).
fof(f1181,plain,
( true = sF12
| ~ spl17_12
| ~ spl17_25 ),
inference(forward_demodulation,[],[f1176,f519]) ).
fof(f1187,plain,
( err = sF12
| ~ spl17_42
| ~ spl17_43 ),
inference(forward_demodulation,[],[f1138,f1129]) ).
fof(f1197,plain,
( sF12 = impl(true,sF10)
| ~ spl17_13 ),
inference(superposition,[],[f213,f349]) ).
fof(f1202,plain,
( sF12 = impl(true,true)
| ~ spl17_13
| ~ spl17_25 ),
inference(forward_demodulation,[],[f1197,f661]) ).
fof(f1207,plain,
( true = sF12
| ~ spl17_13
| ~ spl17_25 ),
inference(forward_demodulation,[],[f1202,f264]) ).
fof(f1210,plain,
( $false
| ~ spl17_13
| spl17_19
| ~ spl17_25 ),
inference(forward_subsumption_resolution,[],[f1207,f606]) ).
fof(f1211,plain,
( ~ spl17_13
| spl17_19
| ~ spl17_25 ),
inference(avatar_contradiction_clause,[],[f1210]) ).
fof(f1212,plain,
( true = sF12
| ~ spl17_10
| ~ spl17_42 ),
inference(forward_demodulation,[],[f336,f1129]) ).
fof(f1215,plain,
( spl17_19
| ~ spl17_12
| ~ spl17_25 ),
inference(avatar_split_clause,[],[f1181,f659,f343,f605]) ).
fof(f1216,plain,
( $false
| spl17_9
| ~ spl17_16
| ~ spl17_18 ),
inference(forward_subsumption_resolution,[],[f904,f331]) ).
fof(f1217,plain,
( spl17_9
| ~ spl17_16
| ~ spl17_18 ),
inference(avatar_contradiction_clause,[],[f1216]) ).
fof(f1223,plain,
( err = false1
| sK8 = sF12
| ~ spl17_14
| ~ spl17_18 ),
inference(forward_demodulation,[],[f974,f603]) ).
fof(f1235,plain,
( sK8 = sF12
| ~ spl17_14
| ~ spl17_18 ),
inference(forward_subsumption_resolution,[],[f1223,f166]) ).
fof(f1243,plain,
( false1 = sK8
| ~ spl17_14
| ~ spl17_18 ),
inference(forward_demodulation,[],[f1235,f603]) ).
fof(f1254,plain,
( err != sF12
| ~ spl17_42
| spl17_43 ),
inference(forward_demodulation,[],[f1137,f1129]) ).
fof(f1259,plain,
( sF10 = sK0(sK7,false1)
| ~ spl17_12 ),
inference(superposition,[],[f209,f345]) ).
fof(f1279,plain,
( sF14 = lazy_impl(true,sF12)
| ~ spl17_11
| ~ spl17_42 ),
inference(superposition,[],[f340,f1129]) ).
fof(f1280,plain,
( sF14 = impl(sF12,sF10)
| ~ spl17_42 ),
inference(superposition,[],[f217,f1129]) ).
fof(f1281,plain,
( sF14 = impl(sF12,true)
| ~ spl17_25
| ~ spl17_42 ),
inference(forward_demodulation,[],[f1280,f661]) ).
fof(f1282,plain,
( sF13 = sF14
| ~ spl17_11
| ~ spl17_32
| ~ spl17_42 ),
inference(forward_demodulation,[],[f1279,f706]) ).
fof(f1283,plain,
( sF14 = impl(true,true)
| ~ spl17_19
| ~ spl17_25
| ~ spl17_42 ),
inference(forward_demodulation,[],[f1281,f607]) ).
fof(f1284,plain,
( true = sF14
| ~ spl17_19
| ~ spl17_25
| ~ spl17_42 ),
inference(forward_demodulation,[],[f1283,f264]) ).
fof(f1287,plain,
( false1 != sF15
| ~ spl17_12
| ~ spl17_16
| ~ spl17_21 ),
inference(superposition,[],[f1030,f1167]) ).
fof(f1410,plain,
( sF14 = lazy_impl(true,sF13)
| true = prop(sF13) ),
inference(superposition,[],[f320,f217]) ).
fof(f1491,plain,
! [X0,X1] :
( lazy_impl(X0,X1) = X0
| err = lazy_impl(X0,X1)
| true = prop(X0) ),
inference(superposition,[],[f172,f417]) ).
fof(f1587,plain,
( sF15 = lazy_impl(true,sF13)
| ~ spl17_1
| ~ spl17_11
| spl17_40 ),
inference(superposition,[],[f1033,f1132]) ).
fof(f1590,plain,
( sF14 = sF15
| ~ spl17_1
| ~ spl17_11
| spl17_40 ),
inference(forward_demodulation,[],[f1587,f340]) ).
fof(f1614,definition,
( spl17_47
<=> true = sF15 ),
introduced(definition,[new_symbols(definition,[spl17_47])],[avatar_definition]) ).
fof(f1615,plain,
( true != sF15
| spl17_47 ),
inference(avatar_component_clause,[],[f1614]) ).
fof(f1616,plain,
( true = sF15
| ~ spl17_47 ),
inference(avatar_component_clause,[],[f1614]) ).
fof(f1622,plain,
( sF13 = sF15
| ~ spl17_1
| ~ spl17_11
| spl17_40 ),
inference(forward_demodulation,[],[f1590,f1132]) ).
fof(f1629,plain,
( sF14 != lazy_impl(true,sF12)
| spl17_11
| ~ spl17_42 ),
inference(forward_demodulation,[],[f339,f1129]) ).
fof(f1640,plain,
( sF13 != sF14
| spl17_11
| ~ spl17_32
| ~ spl17_42 ),
inference(forward_demodulation,[],[f1629,f706]) ).
fof(f1650,plain,
( true != sF13
| spl17_11
| ~ spl17_19
| ~ spl17_25
| ~ spl17_32
| ~ spl17_42 ),
inference(forward_demodulation,[],[f1640,f1284]) ).
fof(f1658,plain,
( true != sF12
| spl17_11
| ~ spl17_19
| ~ spl17_25
| ~ spl17_32
| ~ spl17_42 ),
inference(forward_demodulation,[],[f1650,f1129]) ).
fof(f1667,plain,
( $false
| spl17_11
| ~ spl17_19
| ~ spl17_25
| ~ spl17_32
| ~ spl17_42 ),
inference(forward_subsumption_resolution,[],[f1658,f607]) ).
fof(f1668,plain,
( spl17_11
| ~ spl17_19
| ~ spl17_25
| ~ spl17_32
| ~ spl17_42 ),
inference(avatar_contradiction_clause,[],[f1667]) ).
fof(f1685,plain,
( true != sF13
| ~ spl17_19
| spl17_42 ),
inference(forward_demodulation,[],[f1128,f607]) ).
fof(f1686,plain,
( true = err
| ~ spl17_10
| ~ spl17_43 ),
inference(forward_demodulation,[],[f336,f1138]) ).
fof(f1696,plain,
( sF14 = lazy_impl(true,err)
| true = prop(sF13)
| ~ spl17_43 ),
inference(forward_demodulation,[],[f1410,f1138]) ).
fof(f1704,plain,
( $false
| ~ spl17_10
| ~ spl17_43 ),
inference(forward_subsumption_resolution,[],[f1686,f93]) ).
fof(f1705,plain,
( ~ spl17_10
| ~ spl17_43 ),
inference(avatar_contradiction_clause,[],[f1704]) ).
fof(f1720,plain,
( err = sF14
| true = prop(sF13)
| ~ spl17_43 ),
inference(forward_demodulation,[],[f1696,f450]) ).
fof(f1732,plain,
( true = prop(err)
| err = sF14
| ~ spl17_43 ),
inference(forward_demodulation,[],[f1720,f1138]) ).
fof(f1739,definition,
( spl17_48
<=> true = prop(err) ),
introduced(definition,[new_symbols(definition,[spl17_48])],[avatar_definition]) ).
fof(f1740,plain,
( true != prop(err)
| spl17_48 ),
inference(avatar_component_clause,[],[f1739]) ).
fof(f1741,plain,
( true = prop(err)
| ~ spl17_48 ),
inference(avatar_component_clause,[],[f1739]) ).
fof(f1743,plain,
( spl17_40
| spl17_48
| ~ spl17_43 ),
inference(avatar_split_clause,[],[f1732,f1136,f1739,f1059]) ).
fof(f1749,plain,
( sF13 != lazy_impl(true,true)
| ~ spl17_19
| spl17_32 ),
inference(forward_demodulation,[],[f705,f607]) ).
fof(f1756,plain,
( sF14 = lazy_impl(true,true)
| ~ spl17_10
| ~ spl17_11 ),
inference(forward_demodulation,[],[f340,f336]) ).
fof(f1757,plain,
( $false
| ~ spl17_10
| ~ spl17_19
| spl17_42 ),
inference(forward_subsumption_resolution,[],[f1685,f336]) ).
fof(f1758,plain,
( ~ spl17_10
| ~ spl17_19
| spl17_42 ),
inference(avatar_contradiction_clause,[],[f1757]) ).
fof(f1763,plain,
( true = sK0(sK7,false1)
| ~ spl17_12
| ~ spl17_25 ),
inference(forward_demodulation,[],[f1259,f661]) ).
fof(f1768,plain,
( true != sF13
| ~ spl17_19
| spl17_32 ),
inference(forward_demodulation,[],[f1749,f388]) ).
fof(f1774,plain,
( true = sF14
| ~ spl17_10
| ~ spl17_11 ),
inference(forward_demodulation,[],[f1756,f388]) ).
fof(f1779,plain,
( $false
| ~ spl17_10
| ~ spl17_19
| spl17_32 ),
inference(forward_subsumption_resolution,[],[f1768,f336]) ).
fof(f1780,plain,
( ~ spl17_10
| ~ spl17_19
| spl17_32 ),
inference(avatar_contradiction_clause,[],[f1779]) ).
fof(f1788,definition,
( spl17_49
<=> true = prop(sF13) ),
introduced(definition,[new_symbols(definition,[spl17_49])],[avatar_definition]) ).
fof(f1790,plain,
( true = prop(sF13)
| ~ spl17_49 ),
inference(avatar_component_clause,[],[f1788]) ).
fof(f1792,plain,
( spl17_49
| spl17_11 ),
inference(avatar_split_clause,[],[f1410,f338,f1788]) ).
fof(f1797,plain,
( err != sF9
| ~ spl17_22 ),
inference(superposition,[],[f222,f624]) ).
fof(f1798,plain,
( err != sF13
| spl17_15
| spl17_16
| ~ spl17_17
| ~ spl17_22 ),
inference(forward_demodulation,[],[f1797,f746]) ).
fof(f1802,plain,
( sK7 = sF13
| err = sF13
| ~ spl17_17 ),
inference(superposition,[],[f172,f366]) ).
fof(f1804,plain,
( sK7 = sF13
| ~ spl17_17
| spl17_43 ),
inference(forward_subsumption_resolution,[],[f1802,f1137]) ).
fof(f1815,definition,
( spl17_50
<=> sF13 = sF14 ),
introduced(definition,[new_symbols(definition,[spl17_50])],[avatar_definition]) ).
fof(f1817,plain,
( sF13 = sF14
| ~ spl17_50 ),
inference(avatar_component_clause,[],[f1815]) ).
fof(f1853,plain,
( true != sF13
| spl17_16
| ~ spl17_17
| spl17_43 ),
inference(superposition,[],[f361,f1804]) ).
fof(f1854,plain,
( sF13 = lazy_impl(true,sF13)
| ~ spl17_17
| spl17_43 ),
inference(superposition,[],[f366,f1804]) ).
fof(f1856,plain,
( sF13 = sF14
| ~ spl17_11
| ~ spl17_17
| spl17_43 ),
inference(forward_demodulation,[],[f1854,f340]) ).
fof(f1934,plain,
( sF13 = not1(sK7)
| true = sK7
| false1 = sK7
| ~ spl17_17 ),
inference(superposition,[],[f491,f366]) ).
fof(f1942,plain,
! [X0,X1] :
( lazy_impl(X0,X1) = not1(X0)
| true = X0
| false1 = X0
| true = X0
| false1 = X0 ),
inference(superposition,[],[f416,f491]) ).
fof(f1943,plain,
( err = not1(err)
| true = err
| err = false1 ),
inference(superposition,[],[f450,f491]) ).
fof(f1946,plain,
( sF14 = not1(sF13)
| true = sF13
| false1 = sF13
| ~ spl17_11 ),
inference(superposition,[],[f340,f491]) ).
fof(f1950,plain,
! [X0,X1] :
( lazy_impl(X0,X1) = not1(X0)
| true = X0
| false1 = X0 ),
inference(duplicate_literal_removal,[],[f1942]) ).
fof(f1954,plain,
( sF14 = not1(sF13)
| false1 = sF13
| spl17_10
| ~ spl17_11 ),
inference(forward_subsumption_resolution,[],[f1946,f335]) ).
fof(f1957,plain,
( err = not1(err)
| err = false1 ),
inference(forward_subsumption_resolution,[],[f1943,f93]) ).
fof(f1961,plain,
( sF13 = not1(sK7)
| false1 = sK7
| spl17_16
| ~ spl17_17 ),
inference(forward_subsumption_resolution,[],[f1934,f361]) ).
fof(f1966,plain,
( sF14 = not1(sF13)
| spl17_9
| spl17_10
| ~ spl17_11 ),
inference(forward_subsumption_resolution,[],[f1954,f331]) ).
fof(f1969,plain,
err = not1(err),
inference(forward_subsumption_resolution,[],[f1957,f166]) ).
fof(f1973,plain,
( sF13 = not1(sK7)
| spl17_15
| spl17_16
| ~ spl17_17 ),
inference(forward_subsumption_resolution,[],[f1961,f357]) ).
fof(f1978,plain,
( sF13 = not1(sF13)
| spl17_9
| spl17_10
| ~ spl17_11
| ~ spl17_50 ),
inference(forward_demodulation,[],[f1966,f1817]) ).
fof(f2017,plain,
( sF12 = sF13
| ~ spl17_9
| ~ spl17_12
| ~ spl17_50 ),
inference(forward_demodulation,[],[f383,f1817]) ).
fof(f2034,plain,
( false1 = sF12
| ~ spl17_9
| ~ spl17_12
| ~ spl17_50 ),
inference(forward_demodulation,[],[f2017,f332]) ).
fof(f2047,plain,
( $false
| ~ spl17_9
| ~ spl17_12
| spl17_18
| ~ spl17_50 ),
inference(forward_subsumption_resolution,[],[f2034,f602]) ).
fof(f2048,plain,
( ~ spl17_9
| ~ spl17_12
| spl17_18
| ~ spl17_50 ),
inference(avatar_contradiction_clause,[],[f2047]) ).
fof(f2070,plain,
( sF9 != sF13
| ~ spl17_1
| ~ spl17_11
| ~ spl17_21
| spl17_40 ),
inference(forward_demodulation,[],[f1030,f1622]) ).
fof(f2072,plain,
( sF13 = sF16
| ~ spl17_1
| ~ spl17_11
| spl17_22
| spl17_40 ),
inference(forward_demodulation,[],[f824,f1622]) ).
fof(f2079,plain,
( sF14 = not1(sF13)
| spl17_9
| spl17_10
| ~ spl17_11 ),
inference(forward_subsumption_resolution,[],[f1954,f331]) ).
fof(f2106,plain,
( sF13 = not1(sF13)
| spl17_15
| spl17_16
| ~ spl17_17
| spl17_43 ),
inference(forward_demodulation,[],[f1973,f1804]) ).
fof(f2109,plain,
( $false
| ~ spl17_1
| ~ spl17_11
| spl17_15
| spl17_16
| ~ spl17_17
| ~ spl17_21
| spl17_40 ),
inference(forward_subsumption_resolution,[],[f2070,f746]) ).
fof(f2110,plain,
( ~ spl17_1
| ~ spl17_11
| spl17_15
| spl17_16
| ~ spl17_17
| ~ spl17_21
| spl17_40 ),
inference(avatar_contradiction_clause,[],[f2109]) ).
fof(f2136,plain,
( sF9 = and1(false1,sK8)
| ~ spl17_15 ),
inference(superposition,[],[f207,f358]) ).
fof(f2137,plain,
( sF10 = sK0(false1,sK8)
| ~ spl17_15 ),
inference(superposition,[],[f209,f358]) ).
fof(f2138,plain,
( sF13 = impl(false1,sF12)
| ~ spl17_15 ),
inference(superposition,[],[f215,f358]) ).
fof(f2141,plain,
( true = sK0(false1,false1)
| ~ spl17_12
| ~ spl17_15
| ~ spl17_25 ),
inference(superposition,[],[f1763,f358]) ).
fof(f2143,plain,
( sF13 = impl(false1,true)
| ~ spl17_15
| ~ spl17_19 ),
inference(forward_demodulation,[],[f2138,f607]) ).
fof(f2148,plain,
( true = sF13
| ~ spl17_15
| ~ spl17_19 ),
inference(forward_demodulation,[],[f2143,f519]) ).
fof(f2151,plain,
( $false
| spl17_10
| ~ spl17_15
| ~ spl17_19 ),
inference(forward_subsumption_resolution,[],[f2148,f335]) ).
fof(f2152,plain,
( spl17_10
| ~ spl17_15
| ~ spl17_19 ),
inference(avatar_contradiction_clause,[],[f2151]) ).
fof(f2255,plain,
( ! [X0] :
( d(lazy_impl(prop(X0),X0))
| ~ d(false1) )
| ~ spl17_8 ),
inference(resolution,[],[f100,f1016]) ).
fof(f2256,plain,
( ! [X0] : d(lazy_impl(prop(X0),X0))
| ~ spl17_8 ),
inference(forward_subsumption_resolution,[],[f2255,f167]) ).
fof(f2273,plain,
! [X0,X1] :
( bool(X1)
| or1(X0,X1) = lazy_impl(true,X1)
| lazy_impl(true,X0) = not1(X0) ),
inference(resolution,[],[f189,f196]) ).
fof(f2447,plain,
( sF12 = lazy_impl(true,sK8)
| true = impl(false1,sK8) ),
inference(superposition,[],[f213,f511]) ).
fof(f2539,plain,
( sF16 = lazy_impl(true,sF13)
| ~ spl17_1
| ~ spl17_11
| spl17_40 ),
inference(superposition,[],[f221,f1622]) ).
fof(f2540,plain,
( sF14 = sF16
| ~ spl17_1
| ~ spl17_11
| spl17_40 ),
inference(forward_demodulation,[],[f2539,f340]) ).
fof(f2544,plain,
( ! [X0] : bool(lazy_impl(prop(X0),X0))
| ~ spl17_8
| ~ spl17_31 ),
inference(resolution,[],[f2256,f695]) ).
fof(f2545,plain,
( ! [X0] : lazy_impl(prop(X0),X0) = lazy_impl(true,lazy_impl(prop(X0),X0))
| ~ spl17_8 ),
inference(resolution,[],[f2256,f171]) ).
fof(f3005,plain,
! [X2,X0,X1] :
( ~ d(lazy_impl(prop(sK0(X1,X2)),impl(impl(X1,impl(X2,sK0(X1,X2))),sK0(X1,X2))))
| d(lazy_impl(prop(X0),impl(impl(X1,impl(X2,X0)),X0))) ),
inference(resolution,[],[f183,f100]) ).
fof(f3018,plain,
! [X0,X1] :
( ~ forallprefers(lazy_impl(prop(X0),impl(impl(X1,X0),X0)),lazy_impl(prop(sK0(X1,true)),impl(impl(X1,impl(true,sK0(X1,true))),sK0(X1,true))))
| prop(X0) = false1 ),
inference(superposition,[],[f183,f223]) ).
fof(f3045,plain,
! [X2,X0,X1] :
( ~ forallprefers(lazy_impl(prop(X2),lazy_impl(true,impl(X0,impl(X1,X2)))),lazy_impl(prop(sK0(X0,X1)),impl(impl(X0,impl(X1,sK0(X0,X1))),sK0(X0,X1))))
| true = prop(impl(X0,impl(X1,X2))) ),
inference(superposition,[],[f183,f320]) ).
fof(f3047,plain,
! [X2,X0,X1] :
( ~ forallprefers(lazy_impl(prop(X2),lazy_impl(true,impl(X0,impl(X1,X2)))),lazy_impl(prop(sK0(X0,X1)),impl(impl(X0,impl(X1,sK0(X0,X1))),sK0(X0,X1))))
| true = impl(X0,impl(X1,X2))
| impl(X0,impl(X1,X2)) = false1 ),
inference(superposition,[],[f183,f319]) ).
fof(f3080,plain,
! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(impl(sK7,impl(sK8,X0)),X0)),lazy_impl(prop(sF10),impl(impl(sK7,impl(sK8,sF10)),sF10))),
inference(superposition,[],[f183,f209]) ).
fof(f3082,plain,
( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(impl(false1,impl(false1,X0)),X0)),lazy_impl(prop(true),impl(impl(false1,impl(false1,true)),true)))
| ~ spl17_12
| ~ spl17_15
| ~ spl17_25 ),
inference(superposition,[],[f183,f2141]) ).
fof(f3097,plain,
( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(impl(false1,impl(false1,X0)),X0)),lazy_impl(prop(true),impl(impl(false1,true),true)))
| ~ spl17_12
| ~ spl17_15
| ~ spl17_25 ),
inference(forward_demodulation,[],[f3082,f519]) ).
fof(f3099,plain,
( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(impl(sK7,impl(sK8,X0)),X0)),lazy_impl(prop(true),impl(impl(sK7,impl(sK8,true)),true)))
| ~ spl17_25 ),
inference(forward_demodulation,[],[f3080,f661]) ).
fof(f3116,plain,
( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(impl(false1,impl(false1,X0)),X0)),lazy_impl(prop(true),impl(true,true)))
| ~ spl17_12
| ~ spl17_15
| ~ spl17_25 ),
inference(forward_demodulation,[],[f3097,f519]) ).
fof(f3118,plain,
( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(impl(sK7,impl(sK8,X0)),X0)),lazy_impl(prop(true),impl(impl(sK7,sF12),true)))
| ~ spl17_25 ),
inference(forward_demodulation,[],[f3099,f858]) ).
fof(f3131,definition,
( spl17_52
<=> ! [X0] :
( false1 = X0
| true = X0 ) ),
introduced(definition,[new_symbols(definition,[spl17_52])],[avatar_definition]) ).
fof(f3132,plain,
( ! [X0] :
( false1 = X0
| true = X0 )
| ~ spl17_52 ),
inference(avatar_component_clause,[],[f3131]) ).
fof(f3134,plain,
( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(impl(false1,impl(false1,X0)),X0)),lazy_impl(prop(true),true))
| ~ spl17_12
| ~ spl17_15
| ~ spl17_25 ),
inference(forward_demodulation,[],[f3116,f264]) ).
fof(f3136,plain,
( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(impl(sK7,impl(sK8,X0)),X0)),lazy_impl(prop(true),impl(sF13,true)))
| ~ spl17_25 ),
inference(forward_demodulation,[],[f3118,f215]) ).
fof(f3143,plain,
( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(impl(false1,impl(false1,X0)),X0)),lazy_impl(true,true))
| ~ spl17_12
| ~ spl17_15
| ~ spl17_25 ),
inference(forward_demodulation,[],[f3134,f262]) ).
fof(f3145,plain,
( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(impl(sK7,impl(sK8,X0)),X0)),lazy_impl(prop(true),sF14))
| ~ spl17_25 ),
inference(forward_demodulation,[],[f3136,f857]) ).
fof(f3150,plain,
( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(impl(false1,impl(false1,X0)),X0)),true)
| ~ spl17_12
| ~ spl17_15
| ~ spl17_25 ),
inference(forward_demodulation,[],[f3143,f388]) ).
fof(f3152,plain,
( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(impl(sK7,impl(sK8,X0)),X0)),lazy_impl(prop(true),sF13))
| ~ spl17_25
| ~ spl17_50 ),
inference(forward_demodulation,[],[f3145,f1817]) ).
fof(f3155,plain,
( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(impl(sK7,impl(sK8,X0)),X0)),lazy_impl(prop(true),true))
| ~ spl17_10
| ~ spl17_25
| ~ spl17_50 ),
inference(forward_demodulation,[],[f3152,f336]) ).
fof(f3157,plain,
( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(impl(sK7,impl(sK8,X0)),X0)),lazy_impl(true,true))
| ~ spl17_10
| ~ spl17_25
| ~ spl17_50 ),
inference(forward_demodulation,[],[f3155,f262]) ).
fof(f3159,plain,
( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(impl(sK7,impl(sK8,X0)),X0)),true)
| ~ spl17_10
| ~ spl17_25
| ~ spl17_50 ),
inference(forward_demodulation,[],[f3157,f388]) ).
fof(f3169,plain,
( ! [X0] :
( true = false1
| false1 = X0
| true = X0 )
| ~ spl17_5 ),
inference(superposition,[],[f281,f254]) ).
fof(f3227,plain,
( false1 = not1(false1)
| true = err
| ~ spl17_52 ),
inference(superposition,[],[f1969,f3132]) ).
fof(f3446,plain,
( false1 = not1(false1)
| ~ spl17_52 ),
inference(forward_subsumption_resolution,[],[f3227,f93]) ).
fof(f3496,plain,
( true = false1
| ~ spl17_52 ),
inference(forward_demodulation,[],[f3446,f197]) ).
fof(f3521,plain,
( $false
| ~ spl17_52 ),
inference(forward_subsumption_resolution,[],[f3496,f165]) ).
fof(f3522,plain,
~ spl17_52,
inference(avatar_contradiction_clause,[],[f3521]) ).
fof(f3538,plain,
( ! [X0] :
( false1 = X0
| true = X0 )
| ~ spl17_5 ),
inference(forward_subsumption_resolution,[],[f3169,f165]) ).
fof(f3540,plain,
( spl17_52
| ~ spl17_5 ),
inference(avatar_split_clause,[],[f3538,f253,f3131]) ).
fof(f3586,plain,
( sF12 = lazy_impl(true,sK8)
| sK8 = impl(true,sK8) ),
inference(superposition,[],[f213,f322]) ).
fof(f3628,plain,
( ! [X0] : true = prop(lazy_impl(prop(X0),X0))
| ~ spl17_8
| ~ spl17_31 ),
inference(resolution,[],[f2544,f109]) ).
fof(f3629,plain,
( ! [X0] : lazy_impl(prop(X0),X0) = impl(true,lazy_impl(prop(X0),X0))
| ~ spl17_8
| ~ spl17_31 ),
inference(resolution,[],[f2544,f115]) ).
fof(f3631,plain,
( ! [X0] :
( false1 = lazy_impl(prop(X0),X0)
| true = lazy_impl(prop(X0),X0) )
| ~ spl17_8
| ~ spl17_31 ),
inference(resolution,[],[f2544,f164]) ).
fof(f3633,plain,
( ! [X0] : true = impl(false1,lazy_impl(prop(X0),X0))
| ~ spl17_8
| ~ spl17_31 ),
inference(resolution,[],[f2544,f177]) ).
fof(f3668,plain,
( true = prop(lazy_impl(sF11,sF10))
| ~ spl17_8
| ~ spl17_31 ),
inference(superposition,[],[f3628,f211]) ).
fof(f3793,plain,
! [X0,X1] :
( lazy_impl(X0,X1) = X0
| err = lazy_impl(X0,X1)
| impl(true,X0) = X0 ),
inference(superposition,[],[f172,f419]) ).
fof(f4517,plain,
! [X0,X1] :
( and1(X0,X1) = lazy_impl(true,X1)
| lazy_impl(true,X0) = not1(X0)
| true = X1
| false1 = X1 ),
inference(resolution,[],[f490,f164]) ).
fof(f4536,plain,
( sF9 = lazy_impl(true,sK8)
| lazy_impl(true,sK7) = not1(sK7)
| true = sK8
| false1 = sK8 ),
inference(superposition,[],[f4517,f207]) ).
fof(f4589,plain,
! [X0,X1] :
( true = or1(true,X0)
| impl(X0,X1) = lazy_impl(true,X0) ),
inference(resolution,[],[f134,f175]) ).
fof(f4808,plain,
! [X0,X1] :
( lazy_impl(X0,X1) = X0
| err = lazy_impl(X0,X1)
| and1(true,X0) = X0 ),
inference(superposition,[],[f172,f418]) ).
fof(f5596,plain,
! [X0] :
( lazy_impl(true,X0) != X0
| and1(true,X0) = X0
| false1 = prop(true) ),
inference(equality_factoring,[],[f528]) ).
fof(f5597,plain,
! [X0] :
( true = false1
| lazy_impl(true,X0) != X0
| and1(true,X0) = X0 ),
inference(forward_demodulation,[],[f5596,f262]) ).
fof(f5600,plain,
! [X0] :
( lazy_impl(true,X0) != X0
| and1(true,X0) = X0 ),
inference(forward_subsumption_resolution,[],[f5597,f165]) ).
fof(f5607,plain,
! [X0,X1] :
( lazy_impl(X0,X1) != X0
| and1(true,X0) = X0
| and1(true,X0) = X0 ),
inference(superposition,[],[f5600,f418]) ).
fof(f5640,plain,
! [X0,X1] :
( lazy_impl(X0,X1) != X0
| and1(true,X0) = X0 ),
inference(duplicate_literal_removal,[],[f5607]) ).
fof(f5822,plain,
! [X0] :
( lazy_impl(true,X0) != X0
| impl(true,X0) = X0
| false1 = prop(true) ),
inference(equality_factoring,[],[f560]) ).
fof(f5823,plain,
! [X0] :
( true = false1
| lazy_impl(true,X0) != X0
| impl(true,X0) = X0 ),
inference(forward_demodulation,[],[f5822,f262]) ).
fof(f5830,plain,
! [X0] :
( lazy_impl(true,X0) != X0
| impl(true,X0) = X0 ),
inference(forward_subsumption_resolution,[],[f5823,f165]) ).
fof(f5840,plain,
! [X0] :
( X0 != X0
| impl(true,X0) = X0
| err = lazy_impl(true,X0) ),
inference(superposition,[],[f5830,f172]) ).
fof(f5844,plain,
! [X0,X1] :
( lazy_impl(X0,X1) != X0
| impl(true,X0) = X0
| impl(true,X0) = X0 ),
inference(superposition,[],[f5830,f419]) ).
fof(f5852,plain,
( err != err
| err = impl(true,err) ),
inference(superposition,[],[f5830,f450]) ).
fof(f5855,plain,
( sF13 != sF14
| sF13 = impl(true,sF13)
| ~ spl17_11 ),
inference(superposition,[],[f5830,f340]) ).
fof(f5873,plain,
err = impl(true,err),
inference(trivial_inequality_removal,[],[f5852]) ).
fof(f5876,plain,
! [X0,X1] :
( lazy_impl(X0,X1) != X0
| impl(true,X0) = X0 ),
inference(duplicate_literal_removal,[],[f5844]) ).
fof(f5877,plain,
! [X0] :
( impl(true,X0) = X0
| err = lazy_impl(true,X0) ),
inference(trivial_inequality_removal,[],[f5840]) ).
fof(f5880,plain,
( sF13 = impl(true,sF13)
| ~ spl17_11
| ~ spl17_50 ),
inference(forward_subsumption_resolution,[],[f5855,f1817]) ).
fof(f6599,plain,
! [X2,X0,X1] :
( lazy_impl(true,X0) = lazy_impl(X0,X2)
| impl(X0,X1) = lazy_impl(true,X1)
| true = X1
| false1 = X1 ),
inference(resolution,[],[f470,f164]) ).
fof(f6692,plain,
! [X0] :
( sF14 = lazy_impl(true,sF10)
| lazy_impl(true,sF13) = lazy_impl(sF13,X0)
| true = sF10
| false1 = sF10 ),
inference(superposition,[],[f6599,f217]) ).
fof(f9164,plain,
! [X0,X1] :
( impl(X0,X1) = lazy_impl(true,X1)
| lazy_impl(true,X0) = not1(X0)
| true = prop(X1) ),
inference(resolution,[],[f489,f109]) ).
fof(f9168,plain,
! [X0,X1] :
( impl(X0,X1) = lazy_impl(true,X1)
| lazy_impl(true,X0) = not1(X0)
| true = X1
| false1 = X1 ),
inference(resolution,[],[f489,f164]) ).
fof(f9200,plain,
( sF13 = lazy_impl(true,sF12)
| lazy_impl(true,sK7) = not1(sK7)
| true = sF12
| false1 = sF12 ),
inference(superposition,[],[f9168,f215]) ).
fof(f9631,definition,
( spl17_66
<=> false1 = prop(err) ),
introduced(definition,[new_symbols(definition,[spl17_66])],[avatar_definition]) ).
fof(f9632,plain,
( false1 != prop(err)
| spl17_66 ),
inference(avatar_component_clause,[],[f9631]) ).
fof(f9633,plain,
( false1 = prop(err)
| ~ spl17_66 ),
inference(avatar_component_clause,[],[f9631]) ).
fof(f10057,plain,
( sF12 = lazy_impl(true,sF10)
| lazy_impl(true,sK8) = not1(sK8)
| true = prop(sF10) ),
inference(superposition,[],[f9164,f213]) ).
fof(f10975,plain,
( ! [X0] :
( err = false1
| prop(X0) = false1
| true = prop(prop(X0))
| true = lazy_impl(prop(X0),X0) )
| ~ spl17_8
| ~ spl17_31 ),
inference(superposition,[],[f1491,f3631]) ).
fof(f11013,plain,
( ! [X0] :
( true = prop(prop(X0))
| err = lazy_impl(prop(X0),X0)
| true = prop(prop(X0)) )
| ~ spl17_8
| ~ spl17_31 ),
inference(superposition,[],[f3628,f1491]) ).
fof(f11089,plain,
( ! [X0] :
( err = lazy_impl(prop(X0),X0)
| true = prop(prop(X0)) )
| ~ spl17_8
| ~ spl17_31 ),
inference(duplicate_literal_removal,[],[f11013]) ).
fof(f11123,plain,
( ! [X0] :
( true = lazy_impl(prop(X0),X0)
| true = prop(prop(X0))
| prop(X0) = false1 )
| ~ spl17_8
| ~ spl17_31 ),
inference(forward_subsumption_resolution,[],[f10975,f166]) ).
fof(f12129,plain,
! [X0] :
( ~ d(lazy_impl(prop(sF10),impl(impl(sK7,impl(sK8,sF10)),sF10)))
| d(lazy_impl(prop(X0),impl(impl(sK7,impl(sK8,X0)),X0))) ),
inference(superposition,[],[f3005,f209]) ).
fof(f14000,plain,
( ! [X0] :
( true = err
| true = prop(prop(X0))
| prop(X0) = false1
| true = prop(prop(X0)) )
| ~ spl17_8
| ~ spl17_31 ),
inference(superposition,[],[f11123,f11089]) ).
fof(f14042,plain,
( ! [X0] :
( true = err
| true = prop(prop(X0))
| prop(X0) = false1 )
| ~ spl17_8
| ~ spl17_31 ),
inference(duplicate_literal_removal,[],[f14000]) ).
fof(f14056,plain,
( ! [X0] :
( true = prop(prop(X0))
| prop(X0) = false1 )
| ~ spl17_8
| ~ spl17_31 ),
inference(forward_subsumption_resolution,[],[f14042,f93]) ).
fof(f14073,definition,
( spl17_76
<=> bool(err) ),
introduced(definition,[new_symbols(definition,[spl17_76])],[avatar_definition]) ).
fof(f14074,plain,
( ~ bool(err)
| spl17_76 ),
inference(avatar_component_clause,[],[f14073]) ).
fof(f14075,plain,
( bool(err)
| ~ spl17_76 ),
inference(avatar_component_clause,[],[f14073]) ).
fof(f14078,definition,
( spl17_77
<=> forallprefers(err,false1) ),
introduced(definition,[new_symbols(definition,[spl17_77])],[avatar_definition]) ).
fof(f14080,plain,
( ~ forallprefers(err,false1)
| spl17_77 ),
inference(avatar_component_clause,[],[f14078]) ).
fof(f16779,plain,
! [X0,X1] :
( or1(X0,X1) = lazy_impl(true,X1)
| lazy_impl(true,X0) = not1(X0)
| true = X1
| false1 = X1 ),
inference(resolution,[],[f2273,f164]) ).
fof(f17280,plain,
! [X0] :
( ~ forallprefers(lazy_impl(prop(X0),lazy_impl(true,impl(sK7,impl(sK8,X0)))),lazy_impl(prop(sF10),impl(impl(sK7,impl(sK8,sF10)),sF10)))
| true = impl(sK7,impl(sK8,X0))
| false1 = impl(sK7,impl(sK8,X0)) ),
inference(superposition,[],[f3047,f209]) ).
fof(f18591,plain,
! [X2,X0,X1] :
( ~ forallprefers(lazy_impl(prop(X1),impl(lazy_impl(X2,impl(X0,X1)),X1)),lazy_impl(prop(sK1(X2,X0)),impl(lazy_impl(X2,lazy_impl(true,X0)),sK1(X2,X0))))
| true = X0
| false1 = X0 ),
inference(superposition,[],[f187,f319]) ).
fof(f18676,plain,
! [X0,X1] : ~ forallprefers(lazy_impl(prop(X0),impl(lazy_impl(false1,impl(X1,X0)),X0)),lazy_impl(prop(sK1(false1,X1)),impl(true,sK1(false1,X1)))),
inference(superposition,[],[f187,f179]) ).
fof(f18741,plain,
! [X0,X1] : ~ forallprefers(lazy_impl(prop(X0),impl(true,X0)),lazy_impl(prop(sK1(false1,X1)),impl(true,sK1(false1,X1)))),
inference(forward_demodulation,[],[f18676,f179]) ).
fof(f20255,plain,
! [X0,X1] :
( ~ forallprefers(lazy_impl(prop(X0),impl(true,X0)),lazy_impl(false1,impl(true,sK1(false1,X1))))
| false1 = sK1(false1,X1)
| true = sK1(false1,X1) ),
inference(superposition,[],[f18741,f281]) ).
fof(f20256,plain,
! [X0,X1] :
( ~ forallprefers(lazy_impl(prop(X0),impl(true,X0)),lazy_impl(false1,impl(true,sK1(false1,X1))))
| true = prop(sK1(false1,X1)) ),
inference(superposition,[],[f18741,f226]) ).
fof(f20337,plain,
! [X0,X1] :
( ~ forallprefers(lazy_impl(prop(X0),impl(true,X0)),true)
| true = prop(sK1(false1,X1)) ),
inference(forward_demodulation,[],[f20256,f179]) ).
fof(f20338,plain,
! [X0,X1] :
( ~ forallprefers(lazy_impl(prop(X0),impl(true,X0)),true)
| false1 = sK1(false1,X1)
| true = sK1(false1,X1) ),
inference(forward_demodulation,[],[f20255,f179]) ).
fof(f20367,definition,
( spl17_120
<=> ! [X0] :
( ~ d(lazy_impl(prop(X0),impl(true,X0)))
| bool(lazy_impl(prop(X0),impl(true,X0))) ) ),
introduced(definition,[new_symbols(definition,[spl17_120])],[avatar_definition]) ).
fof(f20368,plain,
( ! [X0] :
( ~ d(lazy_impl(prop(X0),impl(true,X0)))
| bool(lazy_impl(prop(X0),impl(true,X0))) )
| ~ spl17_120 ),
inference(avatar_component_clause,[],[f20367]) ).
fof(f20374,definition,
( spl17_122
<=> ! [X0] : d(lazy_impl(prop(X0),impl(true,X0))) ),
introduced(definition,[new_symbols(definition,[spl17_122])],[avatar_definition]) ).
fof(f20375,plain,
( ! [X0] : d(lazy_impl(prop(X0),impl(true,X0)))
| ~ spl17_122 ),
inference(avatar_component_clause,[],[f20374]) ).
fof(f20386,definition,
( spl17_124
<=> ! [X1] : true = prop(sK1(false1,X1)) ),
introduced(definition,[new_symbols(definition,[spl17_124])],[avatar_definition]) ).
fof(f20387,plain,
( ! [X1] : true = prop(sK1(false1,X1))
| ~ spl17_124 ),
inference(avatar_component_clause,[],[f20386]) ).
fof(f20389,definition,
( spl17_125
<=> ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(true,X0)),true) ),
introduced(definition,[new_symbols(definition,[spl17_125])],[avatar_definition]) ).
fof(f20390,plain,
( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(true,X0)),true)
| ~ spl17_125 ),
inference(avatar_component_clause,[],[f20389]) ).
fof(f20391,plain,
( spl17_124
| spl17_125 ),
inference(avatar_split_clause,[],[f20337,f20389,f20386]) ).
fof(f20393,definition,
( spl17_126
<=> ! [X1] :
( false1 = sK1(false1,X1)
| true = sK1(false1,X1) ) ),
introduced(definition,[new_symbols(definition,[spl17_126])],[avatar_definition]) ).
fof(f20394,plain,
( ! [X1] :
( false1 = sK1(false1,X1)
| true = sK1(false1,X1) )
| ~ spl17_126 ),
inference(avatar_component_clause,[],[f20393]) ).
fof(f20395,plain,
( spl17_126
| spl17_125 ),
inference(avatar_split_clause,[],[f20338,f20389,f20393]) ).
fof(f20561,plain,
( ~ forallprefers(lazy_impl(true,impl(true,false1)),true)
| ~ spl17_125 ),
inference(superposition,[],[f20390,f393]) ).
fof(f20654,plain,
( ~ forallprefers(lazy_impl(true,false1),true)
| ~ spl17_125 ),
inference(forward_demodulation,[],[f20561,f395]) ).
fof(f20674,plain,
( ~ forallprefers(false1,true)
| ~ spl17_125 ),
inference(forward_demodulation,[],[f20654,f525]) ).
fof(f20685,plain,
( $false
| ~ spl17_125 ),
inference(forward_subsumption_resolution,[],[f20674,f203]) ).
fof(f20686,plain,
~ spl17_125,
inference(avatar_contradiction_clause,[],[f20685]) ).
fof(f20696,plain,
( ! [X0] :
( true != true
| bool(sK1(false1,X0)) )
| ~ spl17_124 ),
inference(superposition,[],[f108,f20387]) ).
fof(f20744,plain,
( ! [X0] : bool(sK1(false1,X0))
| ~ spl17_124 ),
inference(trivial_inequality_removal,[],[f20696]) ).
fof(f20753,plain,
( ! [X0,X1] :
( ~ forallprefers(lazy_impl(prop(X0),impl(lazy_impl(false1,impl(X1,X0)),X0)),lazy_impl(prop(false1),impl(lazy_impl(false1,impl(X1,false1)),false1)))
| true = sK1(false1,X1) )
| ~ spl17_126 ),
inference(superposition,[],[f187,f20394]) ).
fof(f20755,plain,
( ! [X0,X1] :
( ~ forallprefers(lazy_impl(prop(X0),impl(lazy_impl(false1,impl(X1,X0)),X0)),lazy_impl(prop(false1),impl(true,false1)))
| true = sK1(false1,X1) )
| ~ spl17_126 ),
inference(forward_demodulation,[],[f20753,f179]) ).
fof(f20757,plain,
( ! [X0,X1] :
( ~ forallprefers(lazy_impl(prop(X0),impl(lazy_impl(false1,impl(X1,X0)),X0)),lazy_impl(prop(false1),false1))
| true = sK1(false1,X1) )
| ~ spl17_126 ),
inference(forward_demodulation,[],[f20755,f395]) ).
fof(f20759,plain,
( ! [X0,X1] :
( ~ forallprefers(lazy_impl(prop(X0),impl(lazy_impl(false1,impl(X1,X0)),X0)),lazy_impl(true,false1))
| true = sK1(false1,X1) )
| ~ spl17_126 ),
inference(forward_demodulation,[],[f20757,f393]) ).
fof(f20761,plain,
( ! [X0,X1] :
( ~ forallprefers(lazy_impl(prop(X0),impl(lazy_impl(false1,impl(X1,X0)),X0)),false1)
| true = sK1(false1,X1) )
| ~ spl17_126 ),
inference(forward_demodulation,[],[f20759,f525]) ).
fof(f20763,definition,
( spl17_132
<=> ! [X1] : true = sK1(false1,X1) ),
introduced(definition,[new_symbols(definition,[spl17_132])],[avatar_definition]) ).
fof(f20764,plain,
( ! [X1] : true = sK1(false1,X1)
| ~ spl17_132 ),
inference(avatar_component_clause,[],[f20763]) ).
fof(f20766,definition,
( spl17_133
<=> ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(true,X0)),false1) ),
introduced(definition,[new_symbols(definition,[spl17_133])],[avatar_definition]) ).
fof(f20767,plain,
( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(true,X0)),false1)
| ~ spl17_133 ),
inference(avatar_component_clause,[],[f20766]) ).
fof(f20769,plain,
( ! [X0,X1] :
( ~ forallprefers(lazy_impl(prop(X0),impl(true,X0)),false1)
| true = sK1(false1,X1) )
| ~ spl17_126 ),
inference(forward_demodulation,[],[f20761,f179]) ).
fof(f20770,plain,
( spl17_132
| spl17_133
| ~ spl17_126 ),
inference(avatar_split_clause,[],[f20769,f20393,f20766,f20763]) ).
fof(f20772,plain,
( ! [X0] : sK1(false1,X0) = impl(true,sK1(false1,X0))
| ~ spl17_124 ),
inference(resolution,[],[f20744,f115]) ).
fof(f20971,plain,
( ! [X0] :
( d(lazy_impl(prop(X0),impl(true,X0)))
| ~ d(false1) )
| ~ spl17_133 ),
inference(resolution,[],[f20767,f100]) ).
fof(f20972,plain,
( ! [X0] :
( ~ d(lazy_impl(prop(X0),impl(true,X0)))
| ~ d(false1)
| bool(lazy_impl(prop(X0),impl(true,X0)))
| ~ bool(false1) )
| ~ spl17_133 ),
inference(resolution,[],[f20767,f99]) ).
fof(f21078,plain,
( ! [X0] :
( ~ d(lazy_impl(prop(X0),impl(true,X0)))
| bool(lazy_impl(prop(X0),impl(true,X0)))
| ~ bool(false1) )
| ~ spl17_133 ),
inference(forward_subsumption_resolution,[],[f20972,f167]) ).
fof(f21092,plain,
( ! [X0] :
( ~ d(lazy_impl(prop(X0),impl(true,X0)))
| bool(lazy_impl(prop(X0),impl(true,X0))) )
| ~ spl17_133 ),
inference(forward_subsumption_resolution,[],[f21078,f200]) ).
fof(f21098,plain,
( ! [X0] : bool(lazy_impl(prop(X0),impl(true,X0)))
| ~ spl17_122
| ~ spl17_133 ),
inference(forward_subsumption_resolution,[],[f21092,f20375]) ).
fof(f21470,definition,
( spl17_146
<=> ! [X0] : ~ forallprefers(lazy_impl(prop(X0),err),true) ),
introduced(definition,[new_symbols(definition,[spl17_146])],[avatar_definition]) ).
fof(f21471,plain,
( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),err),true)
| ~ spl17_146 ),
inference(avatar_component_clause,[],[f21470]) ).
fof(f21482,definition,
( spl17_149
<=> ! [X1] : err = impl(err,X1) ),
introduced(definition,[new_symbols(definition,[spl17_149])],[avatar_definition]) ).
fof(f21483,plain,
( ! [X1] : err = impl(err,X1)
| ~ spl17_149 ),
inference(avatar_component_clause,[],[f21482]) ).
fof(f21690,plain,
( ! [X0] : lazy_impl(true,err) = impl(err,X0)
| spl17_76 ),
inference(resolution,[],[f14074,f175]) ).
fof(f21767,plain,
( ! [X0] : err = impl(err,X0)
| spl17_76 ),
inference(forward_demodulation,[],[f21690,f450]) ).
fof(f21772,plain,
( spl17_149
| spl17_76 ),
inference(avatar_split_clause,[],[f21767,f14073,f21482]) ).
fof(f21777,plain,
( true = err
| err = false1
| ~ spl17_76 ),
inference(resolution,[],[f14075,f164]) ).
fof(f21787,plain,
( err = false1
| ~ spl17_76 ),
inference(forward_subsumption_resolution,[],[f21777,f93]) ).
fof(f21790,plain,
( $false
| ~ spl17_76 ),
inference(forward_subsumption_resolution,[],[f21787,f166]) ).
fof(f21791,plain,
~ spl17_76,
inference(avatar_contradiction_clause,[],[f21790]) ).
fof(f22596,plain,
( ! [X0] :
( lazy_impl(true,err) = and1(X0,err)
| prop(X0) = false1 )
| spl17_76 ),
inference(resolution,[],[f14074,f311]) ).
fof(f22607,plain,
( lazy_impl(true,err) = impl(false1,err)
| spl17_76 ),
inference(resolution,[],[f14074,f476]) ).
fof(f22648,plain,
( err = impl(false1,err)
| spl17_76 ),
inference(forward_demodulation,[],[f22607,f450]) ).
fof(f22659,plain,
( ! [X0] :
( err = and1(X0,err)
| prop(X0) = false1 )
| spl17_76 ),
inference(forward_demodulation,[],[f22596,f450]) ).
fof(f23056,plain,
( ~ forallprefers(lazy_impl(true,err),true)
| ~ spl17_3
| ~ spl17_146 ),
inference(superposition,[],[f21471,f247]) ).
fof(f23091,plain,
( ~ forallprefers(err,true)
| ~ spl17_3
| ~ spl17_146 ),
inference(forward_demodulation,[],[f23056,f450]) ).
fof(f23108,plain,
( ~ d(err)
| ~ d(true)
| bool(err)
| ~ bool(true)
| ~ spl17_3
| ~ spl17_146 ),
inference(resolution,[],[f23091,f99]) ).
fof(f23109,plain,
( ~ d(true)
| bool(err)
| ~ bool(true)
| ~ spl17_3
| ~ spl17_146 ),
inference(forward_subsumption_resolution,[],[f23108,f95]) ).
fof(f23110,plain,
( bool(err)
| ~ bool(true)
| ~ spl17_3
| ~ spl17_146 ),
inference(forward_subsumption_resolution,[],[f23109,f97]) ).
fof(f23111,plain,
( ~ bool(true)
| ~ spl17_3
| spl17_76
| ~ spl17_146 ),
inference(forward_subsumption_resolution,[],[f23110,f14074]) ).
fof(f23112,plain,
( $false
| ~ spl17_3
| spl17_76
| ~ spl17_146 ),
inference(forward_subsumption_resolution,[],[f23111,f201]) ).
fof(f23113,plain,
( ~ spl17_3
| spl17_76
| ~ spl17_146 ),
inference(avatar_contradiction_clause,[],[f23112]) ).
fof(f31407,plain,
! [X0,X1] :
( X0 != X0
| impl(true,X0) = X0
| err = lazy_impl(X0,X1)
| impl(true,X0) = X0 ),
inference(superposition,[],[f5876,f3793]) ).
fof(f31648,plain,
! [X0,X1] :
( X0 != X0
| impl(true,X0) = X0
| err = lazy_impl(X0,X1) ),
inference(duplicate_literal_removal,[],[f31407]) ).
fof(f31649,plain,
! [X0,X1] :
( impl(true,X0) = X0
| err = lazy_impl(X0,X1) ),
inference(trivial_inequality_removal,[],[f31648]) ).
fof(f37394,plain,
( ! [X0] : true = prop(lazy_impl(prop(X0),impl(true,X0)))
| ~ spl17_122
| ~ spl17_133 ),
inference(resolution,[],[f21098,f109]) ).
fof(f37591,plain,
( ! [X0] :
( true = prop(lazy_impl(prop(X0),lazy_impl(true,X0)))
| false1 = prop(true)
| true = prop(X0) )
| ~ spl17_122
| ~ spl17_133 ),
inference(superposition,[],[f37394,f559]) ).
fof(f37775,plain,
( ! [X0] :
( true = false1
| true = prop(lazy_impl(prop(X0),lazy_impl(true,X0)))
| true = prop(X0) )
| ~ spl17_122
| ~ spl17_133 ),
inference(forward_demodulation,[],[f37591,f262]) ).
fof(f37801,definition,
( spl17_189
<=> ! [X0] :
( true = prop(lazy_impl(prop(X0),lazy_impl(true,X0)))
| true = prop(X0) ) ),
introduced(definition,[new_symbols(definition,[spl17_189])],[avatar_definition]) ).
fof(f37802,plain,
( ! [X0] :
( true = prop(lazy_impl(prop(X0),lazy_impl(true,X0)))
| true = prop(X0) )
| ~ spl17_189 ),
inference(avatar_component_clause,[],[f37801]) ).
fof(f37806,plain,
( ! [X0] :
( true = prop(lazy_impl(prop(X0),lazy_impl(true,X0)))
| true = prop(X0) )
| ~ spl17_122
| ~ spl17_133 ),
inference(forward_subsumption_resolution,[],[f37775,f165]) ).
fof(f37818,plain,
( spl17_189
| ~ spl17_122
| ~ spl17_133 ),
inference(avatar_split_clause,[],[f37806,f20766,f20374,f37801]) ).
fof(f38106,plain,
( ! [X0] : d(lazy_impl(prop(X0),impl(true,X0)))
| ~ spl17_133 ),
inference(forward_subsumption_resolution,[],[f20971,f167]) ).
fof(f38107,plain,
( spl17_120
| ~ spl17_133 ),
inference(avatar_split_clause,[],[f21092,f20766,f20367]) ).
fof(f38110,plain,
( spl17_122
| ~ spl17_133 ),
inference(avatar_split_clause,[],[f38106,f20766,f20374]) ).
fof(f38520,plain,
( ! [X0] : lazy_impl(prop(X0),impl(true,X0)) = lazy_impl(true,lazy_impl(prop(X0),impl(true,X0)))
| ~ spl17_122 ),
inference(resolution,[],[f20375,f171]) ).
fof(f38536,plain,
( ! [X0] :
( d(lazy_impl(prop(X0),lazy_impl(true,X0)))
| true = X0
| false1 = X0 )
| ~ spl17_122 ),
inference(superposition,[],[f20375,f479]) ).
fof(f38808,plain,
( ! [X0] :
( lazy_impl(prop(X0),impl(true,X0)) != lazy_impl(prop(X0),impl(true,X0))
| lazy_impl(prop(X0),impl(true,X0)) = impl(true,lazy_impl(prop(X0),impl(true,X0))) )
| ~ spl17_122 ),
inference(superposition,[],[f5830,f38520]) ).
fof(f38848,plain,
( ! [X0] : lazy_impl(prop(X0),impl(true,X0)) = impl(true,lazy_impl(prop(X0),impl(true,X0)))
| ~ spl17_122 ),
inference(trivial_inequality_removal,[],[f38808]) ).
fof(f38881,plain,
( ! [X0] : bool(lazy_impl(prop(X0),impl(true,X0)))
| ~ spl17_120
| ~ spl17_122 ),
inference(resolution,[],[f20368,f20375]) ).
fof(f38898,plain,
( ! [X0] :
( ~ d(lazy_impl(prop(X0),lazy_impl(true,X0)))
| bool(lazy_impl(prop(X0),lazy_impl(true,X0)))
| true = X0
| false1 = X0 )
| ~ spl17_120 ),
inference(superposition,[],[f20368,f479]) ).
fof(f39002,plain,
( ! [X0] :
( bool(lazy_impl(prop(X0),lazy_impl(true,X0)))
| true = X0
| false1 = X0 )
| ~ spl17_120
| ~ spl17_122 ),
inference(forward_subsumption_resolution,[],[f38898,f38536]) ).
fof(f39091,plain,
( ! [X0,X1] :
( bool(lazy_impl(prop(X0),lazy_impl(X0,X1)))
| true = X0
| false1 = X0
| true = X0
| false1 = X0 )
| ~ spl17_120
| ~ spl17_122 ),
inference(superposition,[],[f39002,f416]) ).
fof(f39208,plain,
( ! [X0,X1] :
( bool(lazy_impl(prop(X0),lazy_impl(X0,X1)))
| true = X0
| false1 = X0 )
| ~ spl17_120
| ~ spl17_122 ),
inference(duplicate_literal_removal,[],[f39091]) ).
fof(f39224,plain,
( ! [X0,X1] :
( true = prop(lazy_impl(prop(X0),lazy_impl(X0,X1)))
| false1 = X0
| true = X0 )
| ~ spl17_120
| ~ spl17_122 ),
inference(resolution,[],[f39208,f109]) ).
fof(f39402,plain,
( ! [X0] :
( true = prop(lazy_impl(prop(X0),not1(X0)))
| false1 = X0
| true = X0
| true = X0
| false1 = X0 )
| ~ spl17_120
| ~ spl17_122 ),
inference(superposition,[],[f39224,f1950]) ).
fof(f39575,plain,
( ! [X0] :
( true = prop(lazy_impl(prop(X0),not1(X0)))
| false1 = X0
| true = X0 )
| ~ spl17_120
| ~ spl17_122 ),
inference(duplicate_literal_removal,[],[f39402]) ).
fof(f40437,plain,
( ! [X0] : true = prop(lazy_impl(prop(X0),impl(true,X0)))
| ~ spl17_122
| ~ spl17_133 ),
inference(resolution,[],[f21098,f109]) ).
fof(f40443,plain,
( ! [X0] : true = impl(false1,lazy_impl(prop(X0),impl(true,X0)))
| ~ spl17_122
| ~ spl17_133 ),
inference(resolution,[],[f21098,f177]) ).
fof(f45800,plain,
( ~ forallprefers(lazy_impl(true,impl(impl(false1,impl(false1,false1)),false1)),true)
| ~ spl17_12
| ~ spl17_15
| ~ spl17_25 ),
inference(superposition,[],[f3150,f393]) ).
fof(f46023,plain,
( ~ forallprefers(lazy_impl(true,impl(impl(false1,true),false1)),true)
| ~ spl17_12
| ~ spl17_15
| ~ spl17_25 ),
inference(forward_demodulation,[],[f45800,f520]) ).
fof(f46058,plain,
( ~ forallprefers(lazy_impl(true,impl(true,false1)),true)
| ~ spl17_12
| ~ spl17_15
| ~ spl17_25 ),
inference(forward_demodulation,[],[f46023,f519]) ).
fof(f46078,plain,
( ~ forallprefers(lazy_impl(true,false1),true)
| ~ spl17_12
| ~ spl17_15
| ~ spl17_25 ),
inference(forward_demodulation,[],[f46058,f395]) ).
fof(f46092,plain,
( ~ forallprefers(false1,true)
| ~ spl17_12
| ~ spl17_15
| ~ spl17_25 ),
inference(forward_demodulation,[],[f46078,f525]) ).
fof(f46102,plain,
( $false
| ~ spl17_12
| ~ spl17_15
| ~ spl17_25 ),
inference(forward_subsumption_resolution,[],[f46092,f203]) ).
fof(f46103,plain,
( ~ spl17_12
| ~ spl17_15
| ~ spl17_25 ),
inference(avatar_contradiction_clause,[],[f46102]) ).
fof(f46120,plain,
( sF9 = and1(false1,true)
| ~ spl17_13
| ~ spl17_15 ),
inference(forward_demodulation,[],[f2136,f349]) ).
fof(f46313,plain,
( false1 = sF9
| ~ spl17_13
| ~ spl17_15 ),
inference(forward_demodulation,[],[f46120,f504]) ).
fof(f46942,plain,
( true = lazy_impl(true,sK8)
| ~ spl17_14
| ~ spl17_19 ),
inference(forward_demodulation,[],[f353,f607]) ).
fof(f46961,plain,
( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(impl(false1,impl(sK8,X0)),X0)),true)
| ~ spl17_10
| ~ spl17_15
| ~ spl17_25
| ~ spl17_50 ),
inference(forward_demodulation,[],[f3159,f358]) ).
fof(f47483,definition,
( spl17_215
<=> sK8 = and1(true,sK8) ),
introduced(definition,[new_symbols(definition,[spl17_215])],[avatar_definition]) ).
fof(f47484,plain,
( sK8 != and1(true,sK8)
| spl17_215 ),
inference(avatar_component_clause,[],[f47483]) ).
fof(f47485,plain,
( sK8 = and1(true,sK8)
| ~ spl17_215 ),
inference(avatar_component_clause,[],[f47483]) ).
fof(f47494,definition,
( spl17_217
<=> sK8 = impl(true,sK8) ),
introduced(definition,[new_symbols(definition,[spl17_217])],[avatar_definition]) ).
fof(f47495,plain,
( sK8 != impl(true,sK8)
| spl17_217 ),
inference(avatar_component_clause,[],[f47494]) ).
fof(f47496,plain,
( sK8 = impl(true,sK8)
| ~ spl17_217 ),
inference(avatar_component_clause,[],[f47494]) ).
fof(f47542,definition,
( spl17_219
<=> true = impl(false1,sK8) ),
introduced(definition,[new_symbols(definition,[spl17_219])],[avatar_definition]) ).
fof(f47543,plain,
( true != impl(false1,sK8)
| spl17_219 ),
inference(avatar_component_clause,[],[f47542]) ).
fof(f47544,plain,
( true = impl(false1,sK8)
| ~ spl17_219 ),
inference(avatar_component_clause,[],[f47542]) ).
fof(f47570,definition,
( spl17_220
<=> true = or1(true,sK8) ),
introduced(definition,[new_symbols(definition,[spl17_220])],[avatar_definition]) ).
fof(f47571,plain,
( true != or1(true,sK8)
| spl17_220 ),
inference(avatar_component_clause,[],[f47570]) ).
fof(f47572,plain,
( true = or1(true,sK8)
| ~ spl17_220 ),
inference(avatar_component_clause,[],[f47570]) ).
fof(f47631,definition,
( spl17_221
<=> false1 = sF9 ),
introduced(definition,[new_symbols(definition,[spl17_221])],[avatar_definition]) ).
fof(f47632,plain,
( false1 != sF9
| spl17_221 ),
inference(avatar_component_clause,[],[f47631]) ).
fof(f47633,plain,
( false1 = sF9
| ~ spl17_221 ),
inference(avatar_component_clause,[],[f47631]) ).
fof(f47660,plain,
( spl17_221
| ~ spl17_13
| ~ spl17_15 ),
inference(avatar_split_clause,[],[f46313,f356,f347,f47631]) ).
fof(f47925,plain,
( sF9 = lazy_impl(true,sK8)
| true = sK8
| false1 = sK8
| ~ spl17_15 ),
inference(superposition,[],[f452,f2136]) ).
fof(f47930,plain,
( ! [X0] :
( false1 = sF9
| lazy_impl(true,sK8) = impl(sK8,X0) )
| ~ spl17_15 ),
inference(superposition,[],[f496,f2136]) ).
fof(f48751,plain,
( true = sK8
| err = lazy_impl(true,sK8)
| ~ spl17_14
| ~ spl17_19 ),
inference(superposition,[],[f46942,f172]) ).
fof(f48911,plain,
( ! [X0] : ~ forallprefers(lazy_impl(true,impl(impl(false1,impl(sK8,lazy_impl(prop(X0),impl(true,X0)))),lazy_impl(prop(X0),impl(true,X0)))),true)
| ~ spl17_10
| ~ spl17_15
| ~ spl17_25
| ~ spl17_50
| ~ spl17_122
| ~ spl17_133 ),
inference(superposition,[],[f46961,f40437]) ).
fof(f49163,plain,
( ! [X0] : ~ forallprefers(lazy_impl(true,impl(impl(false1,impl(true,lazy_impl(prop(X0),impl(true,X0)))),lazy_impl(prop(X0),impl(true,X0)))),true)
| ~ spl17_10
| ~ spl17_13
| ~ spl17_15
| ~ spl17_25
| ~ spl17_50
| ~ spl17_122
| ~ spl17_133 ),
inference(forward_demodulation,[],[f48911,f349]) ).
fof(f49215,plain,
( ! [X0] : ~ forallprefers(lazy_impl(true,impl(impl(false1,lazy_impl(prop(X0),impl(true,X0))),lazy_impl(prop(X0),impl(true,X0)))),true)
| ~ spl17_10
| ~ spl17_13
| ~ spl17_15
| ~ spl17_25
| ~ spl17_50
| ~ spl17_122
| ~ spl17_133 ),
inference(forward_demodulation,[],[f49163,f38848]) ).
fof(f49248,plain,
( ! [X0] : ~ forallprefers(lazy_impl(true,impl(true,lazy_impl(prop(X0),impl(true,X0)))),true)
| ~ spl17_10
| ~ spl17_13
| ~ spl17_15
| ~ spl17_25
| ~ spl17_50
| ~ spl17_122
| ~ spl17_133 ),
inference(forward_demodulation,[],[f49215,f40443]) ).
fof(f49264,plain,
( ! [X0] : ~ forallprefers(lazy_impl(true,lazy_impl(prop(X0),impl(true,X0))),true)
| ~ spl17_10
| ~ spl17_13
| ~ spl17_15
| ~ spl17_25
| ~ spl17_50
| ~ spl17_122
| ~ spl17_133 ),
inference(forward_demodulation,[],[f49248,f38848]) ).
fof(f49275,plain,
( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(true,X0)),true)
| ~ spl17_10
| ~ spl17_13
| ~ spl17_15
| ~ spl17_25
| ~ spl17_50
| ~ spl17_122
| ~ spl17_133 ),
inference(forward_demodulation,[],[f49264,f38520]) ).
fof(f49284,plain,
( spl17_125
| ~ spl17_10
| ~ spl17_13
| ~ spl17_15
| ~ spl17_25
| ~ spl17_50
| ~ spl17_122
| ~ spl17_133 ),
inference(avatar_split_clause,[],[f49275,f20766,f20374,f1815,f659,f356,f347,f334,f20389]) ).
fof(f49432,plain,
( err = sF14
| ~ spl17_1
| ~ spl17_11
| ~ spl17_22
| spl17_40 ),
inference(forward_demodulation,[],[f2540,f624]) ).
fof(f49449,plain,
( sF9 = lazy_impl(true,sK8)
| lazy_impl(true,sK7) = not1(sK7)
| false1 = sK8
| spl17_13 ),
inference(forward_subsumption_resolution,[],[f4536,f348]) ).
fof(f49483,plain,
( sF9 = lazy_impl(true,sK8)
| false1 = sK8
| spl17_13
| ~ spl17_15 ),
inference(forward_subsumption_resolution,[],[f47925,f348]) ).
fof(f49510,plain,
( err = lazy_impl(true,sK8)
| spl17_13
| ~ spl17_14
| ~ spl17_19 ),
inference(forward_subsumption_resolution,[],[f48751,f348]) ).
fof(f49604,plain,
( err = sF13
| ~ spl17_1
| ~ spl17_11
| ~ spl17_22
| spl17_40
| ~ spl17_50 ),
inference(forward_demodulation,[],[f49432,f1817]) ).
fof(f49616,plain,
( sF9 = lazy_impl(true,sK8)
| lazy_impl(true,sK7) = not1(sK7)
| spl17_12
| spl17_13 ),
inference(forward_subsumption_resolution,[],[f49449,f344]) ).
fof(f49648,plain,
( sF9 = lazy_impl(true,sK8)
| spl17_12
| spl17_13
| ~ spl17_15 ),
inference(forward_subsumption_resolution,[],[f49483,f344]) ).
fof(f49677,plain,
( true = err
| spl17_13
| ~ spl17_14
| ~ spl17_19 ),
inference(forward_demodulation,[],[f49510,f46942]) ).
fof(f49746,plain,
( $false
| ~ spl17_1
| ~ spl17_11
| ~ spl17_22
| spl17_40
| spl17_43
| ~ spl17_50 ),
inference(forward_subsumption_resolution,[],[f49604,f1137]) ).
fof(f49747,plain,
( ~ spl17_1
| ~ spl17_11
| ~ spl17_22
| spl17_40
| spl17_43
| ~ spl17_50 ),
inference(avatar_contradiction_clause,[],[f49746]) ).
fof(f49814,plain,
( $false
| spl17_13
| ~ spl17_14
| ~ spl17_19 ),
inference(forward_subsumption_resolution,[],[f49677,f93]) ).
fof(f49815,plain,
( spl17_13
| ~ spl17_14
| ~ spl17_19 ),
inference(avatar_contradiction_clause,[],[f49814]) ).
fof(f50058,plain,
( true = false1
| ~ spl17_9
| ~ spl17_10 ),
inference(forward_demodulation,[],[f332,f336]) ).
fof(f50088,plain,
( sF13 = sF16
| ~ spl17_1
| ~ spl17_11
| spl17_40
| ~ spl17_50 ),
inference(forward_demodulation,[],[f2540,f1817]) ).
fof(f50099,plain,
( false1 = sF13
| ~ spl17_20
| ~ spl17_32 ),
inference(forward_demodulation,[],[f706,f611]) ).
fof(f50242,plain,
( sF9 = sF12
| lazy_impl(true,sK7) = not1(sK7)
| spl17_12
| spl17_13
| ~ spl17_14 ),
inference(forward_demodulation,[],[f49616,f353]) ).
fof(f50274,plain,
( sF9 = sF12
| spl17_12
| spl17_13
| ~ spl17_14
| ~ spl17_15 ),
inference(forward_demodulation,[],[f49648,f353]) ).
fof(f50302,plain,
( $false
| ~ spl17_9
| ~ spl17_10 ),
inference(forward_subsumption_resolution,[],[f50058,f165]) ).
fof(f50303,plain,
( ~ spl17_9
| ~ spl17_10 ),
inference(avatar_contradiction_clause,[],[f50302]) ).
fof(f50329,plain,
( true = sF16
| ~ spl17_1
| ~ spl17_10
| ~ spl17_11
| spl17_40
| ~ spl17_50 ),
inference(forward_demodulation,[],[f50088,f336]) ).
fof(f50335,plain,
( true = false1
| ~ spl17_10
| ~ spl17_20
| ~ spl17_32 ),
inference(forward_demodulation,[],[f50099,f336]) ).
fof(f50453,plain,
( false1 = sF12
| lazy_impl(true,sK7) = not1(sK7)
| spl17_12
| spl17_13
| ~ spl17_14
| ~ spl17_221 ),
inference(forward_demodulation,[],[f50242,f47633]) ).
fof(f50523,plain,
( spl17_23
| ~ spl17_1
| ~ spl17_10
| ~ spl17_11
| spl17_40
| ~ spl17_50 ),
inference(avatar_split_clause,[],[f50329,f1815,f1059,f338,f334,f236,f642]) ).
fof(f50528,plain,
( $false
| ~ spl17_10
| ~ spl17_20
| ~ spl17_32 ),
inference(forward_subsumption_resolution,[],[f50335,f165]) ).
fof(f50529,plain,
( ~ spl17_10
| ~ spl17_20
| ~ spl17_32 ),
inference(avatar_contradiction_clause,[],[f50528]) ).
fof(f50624,plain,
( lazy_impl(true,sK7) = not1(sK7)
| spl17_12
| spl17_13
| ~ spl17_14
| spl17_18
| ~ spl17_221 ),
inference(forward_subsumption_resolution,[],[f50453,f602]) ).
fof(f50759,plain,
( not1(false1) = lazy_impl(true,false1)
| spl17_12
| spl17_13
| ~ spl17_14
| ~ spl17_15
| spl17_18
| ~ spl17_221 ),
inference(forward_demodulation,[],[f50624,f358]) ).
fof(f50841,plain,
( false1 = not1(false1)
| spl17_12
| spl17_13
| ~ spl17_14
| ~ spl17_15
| spl17_18
| ~ spl17_221 ),
inference(forward_demodulation,[],[f50759,f525]) ).
fof(f50897,plain,
( true = false1
| spl17_12
| spl17_13
| ~ spl17_14
| ~ spl17_15
| spl17_18
| ~ spl17_221 ),
inference(forward_demodulation,[],[f50841,f197]) ).
fof(f50923,plain,
( $false
| spl17_12
| spl17_13
| ~ spl17_14
| ~ spl17_15
| spl17_18
| ~ spl17_221 ),
inference(forward_subsumption_resolution,[],[f50897,f165]) ).
fof(f50924,plain,
( spl17_12
| spl17_13
| ~ spl17_14
| ~ spl17_15
| spl17_18
| ~ spl17_221 ),
inference(avatar_contradiction_clause,[],[f50923]) ).
fof(f50958,plain,
( ! [X0] : lazy_impl(true,sK8) = impl(sK8,X0)
| ~ spl17_15
| spl17_221 ),
inference(forward_subsumption_resolution,[],[f47930,f47632]) ).
fof(f50978,definition,
( spl17_255
<=> sF9 = sF12 ),
introduced(definition,[new_symbols(definition,[spl17_255])],[avatar_definition]) ).
fof(f50979,plain,
( sF9 != sF12
| spl17_255 ),
inference(avatar_component_clause,[],[f50978]) ).
fof(f50980,plain,
( sF9 = sF12
| ~ spl17_255 ),
inference(avatar_component_clause,[],[f50978]) ).
fof(f51038,plain,
( spl17_255
| spl17_12
| spl17_13
| ~ spl17_14
| ~ spl17_15 ),
inference(avatar_split_clause,[],[f50274,f356,f351,f347,f343,f50978]) ).
fof(f51111,plain,
( sF12 = impl(true,sF12)
| ~ spl17_11
| ~ spl17_42
| ~ spl17_50 ),
inference(forward_demodulation,[],[f5880,f1129]) ).
fof(f51202,plain,
( sF9 != sF12
| ~ spl17_1
| ~ spl17_11
| ~ spl17_21
| spl17_40
| ~ spl17_42 ),
inference(forward_demodulation,[],[f2070,f1129]) ).
fof(f51268,plain,
( ! [X0] : sF12 = impl(sK8,X0)
| ~ spl17_14
| ~ spl17_15
| spl17_221 ),
inference(forward_demodulation,[],[f50958,f353]) ).
fof(f51501,plain,
( ~ spl17_255
| ~ spl17_1
| ~ spl17_11
| ~ spl17_21
| spl17_40
| ~ spl17_42 ),
inference(avatar_split_clause,[],[f51202,f1127,f1059,f618,f338,f236,f50978]) ).
fof(f52051,plain,
( $false
| spl17_12
| ~ spl17_14
| ~ spl17_18 ),
inference(forward_subsumption_resolution,[],[f1243,f344]) ).
fof(f52052,plain,
( spl17_12
| ~ spl17_14
| ~ spl17_18 ),
inference(avatar_contradiction_clause,[],[f52051]) ).
fof(f52236,plain,
( sF13 = impl(false1,false1)
| ~ spl17_15
| ~ spl17_18 ),
inference(forward_demodulation,[],[f2138,f603]) ).
fof(f52359,plain,
( true = sF13
| ~ spl17_15
| ~ spl17_18 ),
inference(forward_demodulation,[],[f52236,f520]) ).
fof(f52457,plain,
( $false
| spl17_10
| ~ spl17_15
| ~ spl17_18 ),
inference(forward_subsumption_resolution,[],[f52359,f335]) ).
fof(f52458,plain,
( spl17_10
| ~ spl17_15
| ~ spl17_18 ),
inference(avatar_contradiction_clause,[],[f52457]) ).
fof(f52642,definition,
( spl17_273
<=> d(sF13) ),
introduced(definition,[new_symbols(definition,[spl17_273])],[avatar_definition]) ).
fof(f52643,plain,
( d(sF13)
| ~ spl17_273 ),
inference(avatar_component_clause,[],[f52642]) ).
fof(f52644,plain,
( ~ d(sF13)
| spl17_273 ),
inference(avatar_component_clause,[],[f52642]) ).
fof(f52759,definition,
( spl17_278
<=> false1 = sF15 ),
introduced(definition,[new_symbols(definition,[spl17_278])],[avatar_definition]) ).
fof(f52761,plain,
( false1 = sF15
| ~ spl17_278 ),
inference(avatar_component_clause,[],[f52759]) ).
fof(f52915,plain,
( err != sF12
| spl17_42
| ~ spl17_43 ),
inference(forward_demodulation,[],[f1128,f1138]) ).
fof(f53418,plain,
( ~ d(err)
| ~ spl17_43
| spl17_273 ),
inference(forward_demodulation,[],[f52644,f1138]) ).
fof(f53444,plain,
( $false
| ~ spl17_43
| spl17_273 ),
inference(forward_subsumption_resolution,[],[f53418,f95]) ).
fof(f53445,plain,
( ~ spl17_43
| spl17_273 ),
inference(avatar_contradiction_clause,[],[f53444]) ).
fof(f53499,plain,
( ! [X0] :
( true = lazy_impl(true,sK8)
| lazy_impl(false1,X0) = lazy_impl(true,false1)
| true = sK8
| false1 = sK8 )
| ~ spl17_219 ),
inference(superposition,[],[f47544,f6599]) ).
fof(f53567,plain,
( ! [X0] :
( true = lazy_impl(true,sK8)
| lazy_impl(false1,X0) = lazy_impl(true,false1)
| false1 = sK8 )
| spl17_13
| ~ spl17_219 ),
inference(forward_subsumption_resolution,[],[f53499,f348]) ).
fof(f53598,plain,
( ! [X0] :
( true = lazy_impl(true,sK8)
| lazy_impl(false1,X0) = lazy_impl(true,false1) )
| spl17_12
| spl17_13
| ~ spl17_219 ),
inference(forward_subsumption_resolution,[],[f53567,f344]) ).
fof(f53615,plain,
( ! [X0] :
( true = sF12
| lazy_impl(false1,X0) = lazy_impl(true,false1) )
| spl17_12
| spl17_13
| ~ spl17_14
| ~ spl17_219 ),
inference(forward_demodulation,[],[f53598,f353]) ).
fof(f53630,plain,
( ! [X0] : lazy_impl(false1,X0) = lazy_impl(true,false1)
| spl17_12
| spl17_13
| ~ spl17_14
| spl17_19
| ~ spl17_219 ),
inference(forward_subsumption_resolution,[],[f53615,f606]) ).
fof(f53645,plain,
( ! [X0] : false1 = lazy_impl(false1,X0)
| spl17_12
| spl17_13
| ~ spl17_14
| spl17_19
| ~ spl17_219 ),
inference(forward_demodulation,[],[f53630,f525]) ).
fof(f53659,plain,
( true = false1
| spl17_12
| spl17_13
| ~ spl17_14
| spl17_19
| ~ spl17_219 ),
inference(forward_demodulation,[],[f53645,f179]) ).
fof(f53668,plain,
( $false
| spl17_12
| spl17_13
| ~ spl17_14
| spl17_19
| ~ spl17_219 ),
inference(forward_subsumption_resolution,[],[f53659,f165]) ).
fof(f53669,plain,
( spl17_12
| spl17_13
| ~ spl17_14
| spl17_19
| ~ spl17_219 ),
inference(avatar_contradiction_clause,[],[f53668]) ).
fof(f53730,plain,
( sK8 = sF12
| err = lazy_impl(true,sK8)
| ~ spl17_14 ),
inference(superposition,[],[f353,f172]) ).
fof(f53751,plain,
( err = sF12
| sK8 = sF12
| ~ spl17_14 ),
inference(superposition,[],[f172,f353]) ).
fof(f53793,plain,
( err = lazy_impl(true,sK8)
| ~ spl17_14
| spl17_39 ),
inference(forward_subsumption_resolution,[],[f53730,f951]) ).
fof(f53806,plain,
( err = sF12
| ~ spl17_14
| spl17_39 ),
inference(forward_demodulation,[],[f53793,f353]) ).
fof(f53815,plain,
( $false
| ~ spl17_14
| spl17_39
| spl17_42
| ~ spl17_43 ),
inference(forward_subsumption_resolution,[],[f53806,f52915]) ).
fof(f53816,plain,
( ~ spl17_14
| spl17_39
| spl17_42
| ~ spl17_43 ),
inference(avatar_contradiction_clause,[],[f53815]) ).
fof(f53843,plain,
( sF13 = sF14
| ~ spl17_11
| ~ spl17_32
| ~ spl17_42 ),
inference(forward_demodulation,[],[f1279,f706]) ).
fof(f53853,plain,
( err = sF13
| ~ spl17_11
| ~ spl17_32
| ~ spl17_40
| ~ spl17_42 ),
inference(forward_demodulation,[],[f53843,f1061]) ).
fof(f53865,plain,
( err = sF12
| ~ spl17_26
| ~ spl17_40 ),
inference(forward_demodulation,[],[f665,f1061]) ).
fof(f53970,plain,
( sK8 = lazy_impl(true,sK8)
| true = sK8
| false1 = sK8
| ~ spl17_215 ),
inference(superposition,[],[f314,f47485]) ).
fof(f54048,plain,
( sK8 = lazy_impl(true,sK8)
| false1 = sK8
| spl17_13
| ~ spl17_215 ),
inference(forward_subsumption_resolution,[],[f53970,f348]) ).
fof(f54108,plain,
( sK8 = lazy_impl(true,sK8)
| spl17_12
| spl17_13
| ~ spl17_215 ),
inference(forward_subsumption_resolution,[],[f54048,f344]) ).
fof(f54459,plain,
( sK8 = lazy_impl(true,sK8)
| true = sK8
| false1 = sK8
| ~ spl17_217 ),
inference(superposition,[],[f47496,f479]) ).
fof(f54550,plain,
( sK8 = lazy_impl(true,sK8)
| false1 = sK8
| spl17_13
| ~ spl17_217 ),
inference(forward_subsumption_resolution,[],[f54459,f348]) ).
fof(f54587,plain,
( sK8 = lazy_impl(true,sK8)
| spl17_12
| spl17_13
| ~ spl17_217 ),
inference(forward_subsumption_resolution,[],[f54550,f344]) ).
fof(f54612,plain,
( sK8 = sF12
| spl17_12
| spl17_13
| ~ spl17_14
| ~ spl17_217 ),
inference(forward_demodulation,[],[f54587,f353]) ).
fof(f54637,plain,
( err = sK8
| spl17_12
| spl17_13
| ~ spl17_14
| ~ spl17_42
| ~ spl17_43
| ~ spl17_217 ),
inference(forward_demodulation,[],[f54612,f1187]) ).
fof(f54770,plain,
( err != sF12
| ~ spl17_22
| ~ spl17_255 ),
inference(superposition,[],[f1797,f50980]) ).
fof(f54771,plain,
( $false
| ~ spl17_22
| ~ spl17_42
| ~ spl17_43
| ~ spl17_255 ),
inference(forward_subsumption_resolution,[],[f54770,f1187]) ).
fof(f54772,plain,
( ~ spl17_22
| ~ spl17_42
| ~ spl17_43
| ~ spl17_255 ),
inference(avatar_contradiction_clause,[],[f54771]) ).
fof(f54867,plain,
( sK8 = sF12
| ~ spl17_14
| ~ spl17_42
| spl17_43 ),
inference(forward_subsumption_resolution,[],[f53751,f1254]) ).
fof(f54877,plain,
( $false
| ~ spl17_11
| ~ spl17_32
| ~ spl17_40
| ~ spl17_42
| spl17_43 ),
inference(forward_subsumption_resolution,[],[f53853,f1137]) ).
fof(f54878,plain,
( ~ spl17_11
| ~ spl17_32
| ~ spl17_40
| ~ spl17_42
| spl17_43 ),
inference(avatar_contradiction_clause,[],[f54877]) ).
fof(f55157,plain,
( false1 = sF12
| ~ spl17_9
| ~ spl17_42 ),
inference(forward_demodulation,[],[f332,f1129]) ).
fof(f55180,plain,
( true = false1
| ~ spl17_48
| ~ spl17_66 ),
inference(forward_demodulation,[],[f1741,f9633]) ).
fof(f55309,plain,
( $false
| ~ spl17_48
| ~ spl17_66 ),
inference(forward_subsumption_resolution,[],[f55180,f165]) ).
fof(f55310,plain,
( ~ spl17_48
| ~ spl17_66 ),
inference(avatar_contradiction_clause,[],[f55309]) ).
fof(f55849,plain,
( sF14 = not1(sF12)
| spl17_9
| spl17_10
| ~ spl17_11
| ~ spl17_42 ),
inference(forward_demodulation,[],[f1966,f1129]) ).
fof(f55851,plain,
( sF12 = not1(sF12)
| spl17_9
| spl17_10
| ~ spl17_11
| ~ spl17_42
| ~ spl17_50 ),
inference(forward_demodulation,[],[f1978,f1129]) ).
fof(f55866,plain,
( sF12 = sF14
| ~ spl17_11
| ~ spl17_32
| ~ spl17_42 ),
inference(forward_demodulation,[],[f1282,f1129]) ).
fof(f55869,definition,
( spl17_284
<=> true = sF14 ),
introduced(definition,[new_symbols(definition,[spl17_284])],[avatar_definition]) ).
fof(f55871,plain,
( true = sF14
| ~ spl17_284 ),
inference(avatar_component_clause,[],[f55869]) ).
fof(f55873,definition,
( spl17_285
<=> false1 = sF14 ),
introduced(definition,[new_symbols(definition,[spl17_285])],[avatar_definition]) ).
fof(f55874,plain,
( false1 != sF14
| spl17_285 ),
inference(avatar_component_clause,[],[f55873]) ).
fof(f55875,plain,
( false1 = sF14
| ~ spl17_285 ),
inference(avatar_component_clause,[],[f55873]) ).
fof(f55928,plain,
( sF12 = sF14
| ~ spl17_42
| ~ spl17_50 ),
inference(forward_demodulation,[],[f1817,f1129]) ).
fof(f56150,plain,
( sF12 = lazy_impl(true,sK8)
| spl17_219 ),
inference(forward_subsumption_resolution,[],[f2447,f47543]) ).
fof(f56152,plain,
( sF12 = lazy_impl(true,sK8)
| spl17_217 ),
inference(forward_subsumption_resolution,[],[f3586,f47495]) ).
fof(f56294,plain,
( sF12 = sF14
| spl17_9
| spl17_10
| ~ spl17_11
| ~ spl17_42
| ~ spl17_50 ),
inference(forward_demodulation,[],[f55851,f55849]) ).
fof(f56303,plain,
( spl17_26
| ~ spl17_11
| ~ spl17_32
| ~ spl17_42 ),
inference(avatar_split_clause,[],[f55866,f1127,f704,f338,f663]) ).
fof(f56670,plain,
( spl17_26
| spl17_9
| spl17_10
| ~ spl17_11
| ~ spl17_42
| ~ spl17_50 ),
inference(avatar_split_clause,[],[f56294,f1815,f1127,f338,f334,f330,f663]) ).
fof(f57042,definition,
( spl17_296
<=> forallprefers(lazy_impl(true,impl(sF14,false1)),lazy_impl(prop(sK0(true,sF12)),impl(impl(true,impl(sF12,sK0(true,sF12))),sK0(true,sF12)))) ),
introduced(definition,[new_symbols(definition,[spl17_296])],[avatar_definition]) ).
fof(f57043,plain,
( forallprefers(lazy_impl(true,impl(sF14,false1)),lazy_impl(prop(sK0(true,sF12)),impl(impl(true,impl(sF12,sK0(true,sF12))),sK0(true,sF12))))
| ~ spl17_296 ),
inference(avatar_component_clause,[],[f57042]) ).
fof(f57044,plain,
( ~ forallprefers(lazy_impl(true,impl(sF14,false1)),lazy_impl(prop(sK0(true,sF12)),impl(impl(true,impl(sF12,sK0(true,sF12))),sK0(true,sF12))))
| spl17_296 ),
inference(avatar_component_clause,[],[f57042]) ).
fof(f57518,definition,
( spl17_303
<=> forallprefers(lazy_impl(true,impl(sF12,false1)),true) ),
introduced(definition,[new_symbols(definition,[spl17_303])],[avatar_definition]) ).
fof(f57519,plain,
( forallprefers(lazy_impl(true,impl(sF12,false1)),true)
| ~ spl17_303 ),
inference(avatar_component_clause,[],[f57518]) ).
fof(f57520,plain,
( ~ forallprefers(lazy_impl(true,impl(sF12,false1)),true)
| spl17_303 ),
inference(avatar_component_clause,[],[f57518]) ).
fof(f58361,plain,
( sF12 = impl(true,sF10)
| ~ spl17_13 ),
inference(superposition,[],[f213,f349]) ).
fof(f58365,plain,
( sF12 = impl(true,false1)
| ~ spl17_13
| ~ spl17_24 ),
inference(forward_demodulation,[],[f58361,f657]) ).
fof(f58368,plain,
( false1 = sF12
| ~ spl17_13
| ~ spl17_24 ),
inference(forward_demodulation,[],[f58365,f395]) ).
fof(f58794,plain,
( sF12 = impl(false1,sF10)
| ~ spl17_12 ),
inference(superposition,[],[f213,f345]) ).
fof(f58797,plain,
( sF12 = impl(false1,false1)
| ~ spl17_12
| ~ spl17_24 ),
inference(forward_demodulation,[],[f58794,f657]) ).
fof(f58800,plain,
( true = sF12
| ~ spl17_12
| ~ spl17_24 ),
inference(forward_demodulation,[],[f58797,f520]) ).
fof(f58806,plain,
( spl17_47
| ~ spl17_2 ),
inference(avatar_split_clause,[],[f447,f240,f1614]) ).
fof(f58812,plain,
( false1 = prop(sF12)
| ~ spl17_28
| ~ spl17_42 ),
inference(forward_demodulation,[],[f681,f1129]) ).
fof(f58863,plain,
! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(impl(sK7,impl(sK8,X0)),X0)),lazy_impl(prop(sF10),impl(impl(sK7,sF12),sF10))),
inference(forward_demodulation,[],[f3080,f213]) ).
fof(f58873,plain,
( ! [X0] :
( sF14 = lazy_impl(true,sF10)
| lazy_impl(true,sF13) = lazy_impl(sF13,X0)
| false1 = sF10 )
| spl17_25 ),
inference(forward_subsumption_resolution,[],[f6692,f660]) ).
fof(f58891,plain,
! [X0] :
( ~ d(lazy_impl(prop(sF10),impl(impl(sK7,sF12),sF10)))
| d(lazy_impl(prop(X0),impl(impl(sK7,impl(sK8,X0)),X0))) ),
inference(forward_demodulation,[],[f12129,f213]) ).
fof(f58904,plain,
! [X0] :
( ~ forallprefers(lazy_impl(prop(X0),lazy_impl(true,impl(sK7,impl(sK8,X0)))),lazy_impl(prop(sF10),impl(impl(sK7,sF12),sF10)))
| true = impl(sK7,impl(sK8,X0))
| false1 = impl(sK7,impl(sK8,X0)) ),
inference(forward_demodulation,[],[f17280,f213]) ).
fof(f58958,plain,
( sF14 = lazy_impl(true,sF10)
| false1 = prop(sF13)
| false1 = sF10
| spl17_25 ),
inference(forward_subsumption_resolution,[],[f583,f660]) ).
fof(f58980,plain,
( sF12 = lazy_impl(true,sF10)
| false1 = prop(sK8)
| false1 = sF10
| spl17_25 ),
inference(forward_subsumption_resolution,[],[f582,f660]) ).
fof(f58983,plain,
( sF10 = sK0(false1,true)
| ~ spl17_13
| ~ spl17_15 ),
inference(forward_demodulation,[],[f2137,f349]) ).
fof(f59221,plain,
( false1 != sF15
| ~ spl17_21
| ~ spl17_221 ),
inference(forward_demodulation,[],[f1030,f47633]) ).
fof(f59242,plain,
( $false
| ~ spl17_28
| spl17_41
| ~ spl17_42 ),
inference(forward_subsumption_resolution,[],[f58812,f1124]) ).
fof(f59243,plain,
( ~ spl17_28
| spl17_41
| ~ spl17_42 ),
inference(avatar_contradiction_clause,[],[f59242]) ).
fof(f59254,plain,
! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(impl(sK7,impl(sK8,X0)),X0)),lazy_impl(prop(sF10),impl(sF13,sF10))),
inference(forward_demodulation,[],[f58863,f215]) ).
fof(f59264,plain,
( ! [X0] :
( sF14 = lazy_impl(true,sF10)
| lazy_impl(true,sF13) = lazy_impl(sF13,X0) )
| spl17_24
| spl17_25 ),
inference(forward_subsumption_resolution,[],[f58873,f656]) ).
fof(f59282,plain,
! [X0] :
( ~ d(lazy_impl(prop(sF10),impl(sF13,sF10)))
| d(lazy_impl(prop(X0),impl(impl(sK7,impl(sK8,X0)),X0))) ),
inference(forward_demodulation,[],[f58891,f215]) ).
fof(f59294,plain,
! [X0] :
( ~ forallprefers(lazy_impl(prop(X0),lazy_impl(true,impl(sK7,impl(sK8,X0)))),lazy_impl(prop(sF10),impl(sF13,sF10)))
| true = impl(sK7,impl(sK8,X0))
| false1 = impl(sK7,impl(sK8,X0)) ),
inference(forward_demodulation,[],[f58904,f215]) ).
fof(f59348,plain,
( sF14 = lazy_impl(true,sF10)
| false1 = prop(sF13)
| spl17_24
| spl17_25 ),
inference(forward_subsumption_resolution,[],[f58958,f656]) ).
fof(f59369,plain,
( sF12 = lazy_impl(true,sF10)
| false1 = prop(sK8)
| spl17_24
| spl17_25 ),
inference(forward_subsumption_resolution,[],[f58980,f656]) ).
fof(f59572,definition,
( spl17_312
<=> true = prop(sF15) ),
introduced(definition,[new_symbols(definition,[spl17_312])],[avatar_definition]) ).
fof(f59573,plain,
( true != prop(sF15)
| spl17_312 ),
inference(avatar_component_clause,[],[f59572]) ).
fof(f59574,plain,
( true = prop(sF15)
| ~ spl17_312 ),
inference(avatar_component_clause,[],[f59572]) ).
fof(f59590,plain,
( ~ spl17_278
| ~ spl17_21
| ~ spl17_221 ),
inference(avatar_split_clause,[],[f59221,f47631,f618,f52759]) ).
fof(f59622,plain,
! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(impl(sK7,impl(sK8,X0)),X0)),lazy_impl(prop(sF10),sF14)),
inference(forward_demodulation,[],[f59254,f217]) ).
fof(f59628,plain,
( ! [X0] :
( sF12 = lazy_impl(true,sF10)
| lazy_impl(true,sF13) = lazy_impl(sF13,X0) )
| spl17_24
| spl17_25
| ~ spl17_26 ),
inference(forward_demodulation,[],[f59264,f665]) ).
fof(f59652,plain,
! [X0] :
( ~ forallprefers(lazy_impl(prop(X0),lazy_impl(true,impl(sK7,impl(sK8,X0)))),lazy_impl(prop(sF10),sF14))
| true = impl(sK7,impl(sK8,X0))
| false1 = impl(sK7,impl(sK8,X0)) ),
inference(forward_demodulation,[],[f59294,f217]) ).
fof(f59668,plain,
( sF12 = lazy_impl(true,sF10)
| false1 = prop(sF13)
| spl17_24
| spl17_25
| ~ spl17_26 ),
inference(forward_demodulation,[],[f59348,f665]) ).
fof(f59687,plain,
( false1 = prop(true)
| sF12 = lazy_impl(true,sF10)
| ~ spl17_13
| spl17_24
| spl17_25 ),
inference(forward_demodulation,[],[f59369,f349]) ).
fof(f59907,plain,
( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(impl(sK7,impl(sK8,X0)),X0)),lazy_impl(prop(sF10),sF12))
| ~ spl17_26 ),
inference(forward_demodulation,[],[f59622,f665]) ).
fof(f59910,definition,
( spl17_319
<=> sF10 = impl(true,sF10) ),
introduced(definition,[new_symbols(definition,[spl17_319])],[avatar_definition]) ).
fof(f59911,plain,
( sF10 != impl(true,sF10)
| spl17_319 ),
inference(avatar_component_clause,[],[f59910]) ).
fof(f59912,plain,
( sF10 = impl(true,sF10)
| ~ spl17_319 ),
inference(avatar_component_clause,[],[f59910]) ).
fof(f59914,definition,
( spl17_320
<=> sF12 = lazy_impl(true,sF10) ),
introduced(definition,[new_symbols(definition,[spl17_320])],[avatar_definition]) ).
fof(f59915,plain,
( sF12 != lazy_impl(true,sF10)
| spl17_320 ),
inference(avatar_component_clause,[],[f59914]) ).
fof(f59916,plain,
( sF12 = lazy_impl(true,sF10)
| ~ spl17_320 ),
inference(avatar_component_clause,[],[f59914]) ).
fof(f59921,plain,
( ! [X0] :
( lazy_impl(true,sF12) = lazy_impl(sF12,X0)
| sF12 = lazy_impl(true,sF10) )
| spl17_24
| spl17_25
| ~ spl17_26
| ~ spl17_42 ),
inference(forward_demodulation,[],[f59628,f1129]) ).
fof(f59960,plain,
( false1 = prop(sF12)
| sF12 = lazy_impl(true,sF10)
| spl17_24
| spl17_25
| ~ spl17_26
| ~ spl17_42 ),
inference(forward_demodulation,[],[f59668,f1129]) ).
fof(f59979,plain,
( true = false1
| sF12 = lazy_impl(true,sF10)
| ~ spl17_13
| spl17_24
| spl17_25 ),
inference(forward_demodulation,[],[f59687,f262]) ).
fof(f60168,plain,
( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(impl(sK7,impl(sK8,X0)),X0)),lazy_impl(sF11,sF12))
| ~ spl17_26 ),
inference(forward_demodulation,[],[f59907,f211]) ).
fof(f60171,plain,
( ! [X0] :
( sF13 = lazy_impl(sF12,X0)
| sF12 = lazy_impl(true,sF10) )
| spl17_24
| spl17_25
| ~ spl17_26
| ~ spl17_32
| ~ spl17_42 ),
inference(forward_demodulation,[],[f59921,f706]) ).
fof(f60197,plain,
( sF12 = lazy_impl(true,sF10)
| spl17_24
| spl17_25
| ~ spl17_26
| spl17_41
| ~ spl17_42 ),
inference(forward_subsumption_resolution,[],[f59960,f1124]) ).
fof(f60205,plain,
( sF12 = lazy_impl(true,sF10)
| ~ spl17_13
| spl17_24
| spl17_25 ),
inference(forward_subsumption_resolution,[],[f59979,f165]) ).
fof(f60345,plain,
( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(impl(sK7,impl(sK8,X0)),X0)),lazy_impl(false1,sF12))
| ~ spl17_2
| ~ spl17_26 ),
inference(forward_demodulation,[],[f60168,f242]) ).
fof(f60347,plain,
( ! [X0] :
( sF12 = lazy_impl(sF12,X0)
| sF12 = lazy_impl(true,sF10) )
| spl17_24
| spl17_25
| ~ spl17_26
| ~ spl17_32
| ~ spl17_42 ),
inference(forward_demodulation,[],[f60171,f1129]) ).
fof(f60360,plain,
( spl17_320
| spl17_24
| spl17_25
| ~ spl17_26
| spl17_41
| ~ spl17_42 ),
inference(avatar_split_clause,[],[f60197,f1127,f1123,f663,f659,f655,f59914]) ).
fof(f60364,plain,
( spl17_320
| ~ spl17_13
| spl17_24
| spl17_25 ),
inference(avatar_split_clause,[],[f60205,f659,f655,f347,f59914]) ).
fof(f60414,plain,
( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(impl(sK7,impl(sK8,X0)),X0)),true)
| ~ spl17_2
| ~ spl17_26 ),
inference(forward_demodulation,[],[f60345,f179]) ).
fof(f60416,definition,
( spl17_324
<=> ! [X0] : sF12 = lazy_impl(sF12,X0) ),
introduced(definition,[new_symbols(definition,[spl17_324])],[avatar_definition]) ).
fof(f60417,plain,
( ! [X0] : sF12 = lazy_impl(sF12,X0)
| ~ spl17_324 ),
inference(avatar_component_clause,[],[f60416]) ).
fof(f60419,plain,
( spl17_320
| spl17_324
| spl17_24
| spl17_25
| ~ spl17_26
| ~ spl17_32
| ~ spl17_42 ),
inference(avatar_split_clause,[],[f60347,f1127,f704,f663,f659,f655,f60416,f59914]) ).
fof(f60421,definition,
( spl17_325
<=> ! [X0] : sF12 = impl(sF12,X0) ),
introduced(definition,[new_symbols(definition,[spl17_325])],[avatar_definition]) ).
fof(f60422,plain,
( ! [X0] : sF12 = impl(sF12,X0)
| ~ spl17_325 ),
inference(avatar_component_clause,[],[f60421]) ).
fof(f60549,plain,
( sF12 = impl(true,sF10)
| ~ spl17_13 ),
inference(superposition,[],[f213,f349]) ).
fof(f60794,definition,
( spl17_326
<=> ! [X0] : err = lazy_impl(sF10,X0) ),
introduced(definition,[new_symbols(definition,[spl17_326])],[avatar_definition]) ).
fof(f60795,plain,
( ! [X0] : err = lazy_impl(sF10,X0)
| ~ spl17_326 ),
inference(avatar_component_clause,[],[f60794]) ).
fof(f60797,definition,
( spl17_327
<=> sF10 = sF12 ),
introduced(definition,[new_symbols(definition,[spl17_327])],[avatar_definition]) ).
fof(f60798,plain,
( sF10 != sF12
| spl17_327 ),
inference(avatar_component_clause,[],[f60797]) ).
fof(f60799,plain,
( sF10 = sF12
| ~ spl17_327 ),
inference(avatar_component_clause,[],[f60797]) ).
fof(f60866,definition,
( spl17_330
<=> ! [X0] :
( sF12 = impl(X0,sF10)
| prop(X0) = false1 ) ),
introduced(definition,[new_symbols(definition,[spl17_330])],[avatar_definition]) ).
fof(f60867,plain,
( ! [X0] :
( sF12 = impl(X0,sF10)
| prop(X0) = false1 )
| ~ spl17_330 ),
inference(avatar_component_clause,[],[f60866]) ).
fof(f60870,definition,
( spl17_331
<=> ! [X0] : sF12 = lazy_impl(sF10,X0) ),
introduced(definition,[new_symbols(definition,[spl17_331])],[avatar_definition]) ).
fof(f60871,plain,
( ! [X0] : sF12 = lazy_impl(sF10,X0)
| ~ spl17_331 ),
inference(avatar_component_clause,[],[f60870]) ).
fof(f60962,plain,
( d(sF12)
| ~ spl17_42
| ~ spl17_273 ),
inference(superposition,[],[f52643,f1129]) ).
fof(f60964,plain,
( sF14 = impl(sF12,sF10)
| ~ spl17_42 ),
inference(superposition,[],[f217,f1129]) ).
fof(f60966,plain,
( d(sF10)
| ~ spl17_42
| ~ spl17_273
| ~ spl17_327 ),
inference(forward_demodulation,[],[f60962,f60799]) ).
fof(f60976,plain,
( sF16 = lazy_impl(true,true)
| ~ spl17_47 ),
inference(superposition,[],[f221,f1616]) ).
fof(f60977,plain,
( true = sF16
| ~ spl17_47 ),
inference(forward_demodulation,[],[f60976,f388]) ).
fof(f60985,plain,
( sF13 = lazy_impl(true,sF10)
| ~ spl17_32
| ~ spl17_327 ),
inference(superposition,[],[f706,f60799]) ).
fof(f61050,plain,
( sF12 = sF13
| ~ spl17_32
| ~ spl17_320
| ~ spl17_327 ),
inference(forward_demodulation,[],[f60985,f59916]) ).
fof(f61117,plain,
( true = lazy_impl(true,sK8)
| not1(true) = lazy_impl(true,true)
| true = sK8
| false1 = sK8
| ~ spl17_220 ),
inference(superposition,[],[f47572,f16779]) ).
fof(f61141,plain,
( false1 != false1
| ~ bool(sF12)
| ~ spl17_41 ),
inference(superposition,[],[f174,f1125]) ).
fof(f61227,plain,
( ~ bool(sF12)
| ~ spl17_41 ),
inference(trivial_inequality_removal,[],[f61141]) ).
fof(f61316,plain,
( ! [X0] : impl(sF10,X0) = lazy_impl(true,sF10)
| ~ spl17_2 ),
inference(resolution,[],[f279,f175]) ).
fof(f61317,plain,
( ! [X0] : lazy_impl(true,sF10) = lazy_impl(sF10,X0)
| ~ spl17_2 ),
inference(resolution,[],[f279,f178]) ).
fof(f61321,plain,
( lazy_impl(true,sF10) = not1(sF10)
| ~ spl17_2 ),
inference(resolution,[],[f279,f196]) ).
fof(f61323,plain,
( ! [X0] :
( lazy_impl(true,sF10) = and1(X0,sF10)
| prop(X0) = false1 )
| ~ spl17_2 ),
inference(resolution,[],[f279,f311]) ).
fof(f61326,plain,
( lazy_impl(true,sF10) = and1(false1,sF10)
| ~ spl17_2 ),
inference(resolution,[],[f279,f391]) ).
fof(f61332,plain,
( ! [X0] :
( lazy_impl(true,sF10) = impl(X0,sF10)
| prop(X0) = false1 )
| ~ spl17_2 ),
inference(resolution,[],[f279,f474]) ).
fof(f61333,plain,
( lazy_impl(true,sF10) = impl(true,sF10)
| ~ spl17_2 ),
inference(resolution,[],[f279,f475]) ).
fof(f61334,plain,
( impl(false1,sF10) = lazy_impl(true,sF10)
| ~ spl17_2 ),
inference(resolution,[],[f279,f476]) ).
fof(f61399,plain,
( ! [X0] :
( sF12 = impl(X0,sF10)
| prop(X0) = false1 )
| ~ spl17_2
| ~ spl17_320 ),
inference(forward_demodulation,[],[f61332,f59916]) ).
fof(f61405,plain,
( sF12 = and1(false1,sF10)
| ~ spl17_2
| ~ spl17_320 ),
inference(forward_demodulation,[],[f61326,f59916]) ).
fof(f61414,plain,
( ! [X0] : sF12 = lazy_impl(sF10,X0)
| ~ spl17_2
| ~ spl17_320 ),
inference(forward_demodulation,[],[f61317,f59916]) ).
fof(f61415,plain,
( ! [X0] : sF12 = impl(sF10,X0)
| ~ spl17_2
| ~ spl17_320 ),
inference(forward_demodulation,[],[f61316,f59916]) ).
fof(f61464,plain,
( ! [X0] : sF10 = impl(sF10,X0)
| ~ spl17_2
| ~ spl17_320
| ~ spl17_327 ),
inference(forward_demodulation,[],[f61415,f60799]) ).
fof(f61733,plain,
( sF10 = sF12
| err = sF12
| ~ spl17_320 ),
inference(superposition,[],[f172,f59916]) ).
fof(f63496,plain,
( ~ d(lazy_impl(true,impl(sF12,false1)))
| ~ d(true)
| bool(lazy_impl(true,impl(sF12,false1)))
| ~ bool(true)
| spl17_303 ),
inference(resolution,[],[f57520,f99]) ).
fof(f63555,plain,
( ~ d(lazy_impl(true,impl(sF12,false1)))
| bool(lazy_impl(true,impl(sF12,false1)))
| ~ bool(true)
| spl17_303 ),
inference(forward_subsumption_resolution,[],[f63496,f97]) ).
fof(f63567,plain,
( ~ d(lazy_impl(true,impl(sF12,false1)))
| bool(lazy_impl(true,impl(sF12,false1)))
| spl17_303 ),
inference(forward_subsumption_resolution,[],[f63555,f201]) ).
fof(f63579,plain,
( ~ d(lazy_impl(true,impl(sF10,false1)))
| bool(lazy_impl(true,impl(sF12,false1)))
| spl17_303
| ~ spl17_327 ),
inference(forward_demodulation,[],[f63567,f60799]) ).
fof(f63590,plain,
( ~ d(lazy_impl(true,sF10))
| bool(lazy_impl(true,impl(sF12,false1)))
| ~ spl17_2
| spl17_303
| ~ spl17_320
| ~ spl17_327 ),
inference(forward_demodulation,[],[f63579,f61464]) ).
fof(f63597,plain,
( ~ d(sF12)
| bool(lazy_impl(true,impl(sF12,false1)))
| ~ spl17_2
| spl17_303
| ~ spl17_320
| ~ spl17_327 ),
inference(forward_demodulation,[],[f63590,f59916]) ).
fof(f63602,plain,
( ~ d(sF10)
| bool(lazy_impl(true,impl(sF12,false1)))
| ~ spl17_2
| spl17_303
| ~ spl17_320
| ~ spl17_327 ),
inference(forward_demodulation,[],[f63597,f60799]) ).
fof(f63605,plain,
( bool(lazy_impl(true,impl(sF12,false1)))
| ~ spl17_2
| ~ spl17_42
| ~ spl17_273
| spl17_303
| ~ spl17_320
| ~ spl17_327 ),
inference(forward_subsumption_resolution,[],[f63602,f60966]) ).
fof(f63607,plain,
( bool(lazy_impl(true,impl(sF10,false1)))
| ~ spl17_2
| ~ spl17_42
| ~ spl17_273
| spl17_303
| ~ spl17_320
| ~ spl17_327 ),
inference(forward_demodulation,[],[f63605,f60799]) ).
fof(f63609,plain,
( bool(lazy_impl(true,sF10))
| ~ spl17_2
| ~ spl17_42
| ~ spl17_273
| spl17_303
| ~ spl17_320
| ~ spl17_327 ),
inference(forward_demodulation,[],[f63607,f61464]) ).
fof(f63610,plain,
( bool(sF12)
| ~ spl17_2
| ~ spl17_42
| ~ spl17_273
| spl17_303
| ~ spl17_320
| ~ spl17_327 ),
inference(forward_demodulation,[],[f63609,f59916]) ).
fof(f63611,plain,
( bool(sF10)
| ~ spl17_2
| ~ spl17_42
| ~ spl17_273
| spl17_303
| ~ spl17_320
| ~ spl17_327 ),
inference(forward_demodulation,[],[f63610,f60799]) ).
fof(f63612,plain,
( $false
| ~ spl17_2
| ~ spl17_42
| ~ spl17_273
| spl17_303
| ~ spl17_320
| ~ spl17_327 ),
inference(forward_subsumption_resolution,[],[f63611,f279]) ).
fof(f63613,plain,
( ~ spl17_2
| ~ spl17_42
| ~ spl17_273
| spl17_303
| ~ spl17_320
| ~ spl17_327 ),
inference(avatar_contradiction_clause,[],[f63612]) ).
fof(f68746,plain,
! [X0] :
( ~ d(lazy_impl(prop(sF10),sF14))
| d(lazy_impl(prop(X0),impl(impl(sK7,impl(sK8,X0)),X0))) ),
inference(forward_demodulation,[],[f59282,f217]) ).
fof(f68751,plain,
( ! [X0] :
( ~ d(lazy_impl(prop(sF10),sF12))
| d(lazy_impl(prop(X0),impl(impl(sK7,impl(sK8,X0)),X0))) )
| ~ spl17_26 ),
inference(forward_demodulation,[],[f68746,f665]) ).
fof(f78669,plain,
( ! [X0,X1] :
( ~ forallprefers(lazy_impl(prop(X0),impl(lazy_impl(false1,impl(X1,X0)),X0)),lazy_impl(true,impl(lazy_impl(false1,lazy_impl(true,X1)),sK1(false1,X1))))
| true = X1
| false1 = X1 )
| ~ spl17_124 ),
inference(superposition,[],[f18591,f20387]) ).
fof(f78945,plain,
( ! [X0,X1] :
( ~ forallprefers(lazy_impl(prop(X0),impl(lazy_impl(false1,impl(X1,X0)),X0)),lazy_impl(true,impl(true,sK1(false1,X1))))
| true = X1
| false1 = X1 )
| ~ spl17_124 ),
inference(forward_demodulation,[],[f78669,f179]) ).
fof(f78990,plain,
( ! [X0,X1] :
( ~ forallprefers(lazy_impl(prop(X0),impl(lazy_impl(false1,impl(X1,X0)),X0)),lazy_impl(true,sK1(false1,X1)))
| true = X1
| false1 = X1 )
| ~ spl17_124 ),
inference(forward_demodulation,[],[f78945,f20772]) ).
fof(f79017,plain,
( ! [X0,X1] :
( ~ forallprefers(lazy_impl(prop(X0),impl(true,X0)),lazy_impl(true,sK1(false1,X1)))
| true = X1
| false1 = X1 )
| ~ spl17_124 ),
inference(forward_demodulation,[],[f78990,f179]) ).
fof(f88665,definition,
( spl17_447
<=> ! [X0] : prop(X0) = false1 ),
introduced(definition,[new_symbols(definition,[spl17_447])],[avatar_definition]) ).
fof(f88666,plain,
( ! [X0] : prop(X0) = false1
| ~ spl17_447 ),
inference(avatar_component_clause,[],[f88665]) ).
fof(f96251,plain,
! [X0,X1] :
( X0 != X0
| and1(true,X0) = X0
| err = lazy_impl(X0,X1)
| and1(true,X0) = X0 ),
inference(superposition,[],[f5640,f4808]) ).
fof(f96599,plain,
! [X0,X1] :
( X0 != X0
| and1(true,X0) = X0
| err = lazy_impl(X0,X1) ),
inference(duplicate_literal_removal,[],[f96251]) ).
fof(f96600,plain,
! [X0,X1] :
( and1(true,X0) = X0
| err = lazy_impl(X0,X1) ),
inference(trivial_inequality_removal,[],[f96599]) ).
fof(f101670,plain,
! [X0] :
( ~ forallprefers(lazy_impl(prop(X0),lazy_impl(true,impl(sK7,impl(sK8,X0)))),lazy_impl(prop(sF10),impl(impl(sK7,impl(sK8,sF10)),sF10)))
| true = prop(impl(sK7,impl(sK8,X0))) ),
inference(superposition,[],[f3045,f209]) ).
fof(f101774,plain,
! [X0] :
( ~ forallprefers(lazy_impl(prop(X0),lazy_impl(true,impl(sK7,impl(sK8,X0)))),lazy_impl(prop(sF10),impl(impl(sK7,sF12),sF10)))
| true = prop(impl(sK7,impl(sK8,X0))) ),
inference(forward_demodulation,[],[f101670,f213]) ).
fof(f101827,plain,
! [X0] :
( ~ forallprefers(lazy_impl(prop(X0),lazy_impl(true,impl(sK7,impl(sK8,X0)))),lazy_impl(prop(sF10),impl(sF13,sF10)))
| true = prop(impl(sK7,impl(sK8,X0))) ),
inference(forward_demodulation,[],[f101774,f215]) ).
fof(f101862,plain,
! [X0] :
( ~ forallprefers(lazy_impl(prop(X0),lazy_impl(true,impl(sK7,impl(sK8,X0)))),lazy_impl(prop(sF10),sF14))
| true = prop(impl(sK7,impl(sK8,X0))) ),
inference(forward_demodulation,[],[f101827,f217]) ).
fof(f107234,plain,
( ! [X0,X1] :
( true = prop(lazy_impl(prop(X0),lazy_impl(X0,X1)))
| true = prop(X0)
| true = prop(X0) )
| ~ spl17_189 ),
inference(superposition,[],[f37802,f417]) ).
fof(f107516,plain,
( ! [X0,X1] :
( true = prop(lazy_impl(prop(X0),lazy_impl(X0,X1)))
| true = prop(X0) )
| ~ spl17_189 ),
inference(duplicate_literal_removal,[],[f107234]) ).
fof(f108729,plain,
( err = false1
| false1 = prop(false1)
| false1 = prop(err)
| spl17_76 ),
inference(superposition,[],[f22659,f495]) ).
fof(f118766,plain,
! [X0] :
( ~ forallprefers(lazy_impl(prop(X0),impl(true,X0)),lazy_impl(prop(sK0(false1,true)),impl(impl(false1,impl(true,sK0(false1,true))),sK0(false1,true))))
| prop(X0) = false1
| prop(X0) = false1 ),
inference(superposition,[],[f3018,f510]) ).
fof(f118777,plain,
( ! [X0] :
( ~ forallprefers(lazy_impl(prop(lazy_impl(prop(X0),X0)),impl(true,lazy_impl(prop(X0),X0))),lazy_impl(prop(sK0(false1,true)),impl(impl(false1,impl(true,sK0(false1,true))),sK0(false1,true))))
| false1 = prop(lazy_impl(prop(X0),X0)) )
| ~ spl17_8
| ~ spl17_31 ),
inference(superposition,[],[f3018,f3633]) ).
fof(f119154,plain,
! [X0] :
( ~ forallprefers(lazy_impl(prop(X0),impl(true,X0)),lazy_impl(prop(sK0(false1,true)),impl(impl(false1,impl(true,sK0(false1,true))),sK0(false1,true))))
| prop(X0) = false1 ),
inference(duplicate_literal_removal,[],[f118766]) ).
fof(f119216,plain,
( ! [X0] :
( ~ forallprefers(lazy_impl(prop(lazy_impl(prop(X0),X0)),impl(true,lazy_impl(prop(X0),X0))),lazy_impl(prop(sF10),impl(impl(false1,impl(true,sF10)),sF10)))
| false1 = prop(lazy_impl(prop(X0),X0)) )
| ~ spl17_8
| ~ spl17_13
| ~ spl17_15
| ~ spl17_31 ),
inference(forward_demodulation,[],[f118777,f58983]) ).
fof(f119285,plain,
( ! [X0] :
( ~ forallprefers(lazy_impl(prop(lazy_impl(prop(X0),X0)),impl(true,lazy_impl(prop(X0),X0))),lazy_impl(prop(sF10),impl(impl(false1,sF12),sF10)))
| false1 = prop(lazy_impl(prop(X0),X0)) )
| ~ spl17_8
| ~ spl17_13
| ~ spl17_15
| ~ spl17_31 ),
inference(forward_demodulation,[],[f119216,f60549]) ).
fof(f119344,plain,
( ! [X0] :
( ~ forallprefers(lazy_impl(prop(lazy_impl(prop(X0),X0)),impl(true,lazy_impl(prop(X0),X0))),lazy_impl(prop(sF10),impl(sF13,sF10)))
| false1 = prop(lazy_impl(prop(X0),X0)) )
| ~ spl17_8
| ~ spl17_13
| ~ spl17_15
| ~ spl17_31 ),
inference(forward_demodulation,[],[f119285,f2138]) ).
fof(f119400,plain,
( ! [X0] :
( ~ forallprefers(lazy_impl(prop(lazy_impl(prop(X0),X0)),impl(true,lazy_impl(prop(X0),X0))),lazy_impl(prop(sF10),sF14))
| false1 = prop(lazy_impl(prop(X0),X0)) )
| ~ spl17_8
| ~ spl17_13
| ~ spl17_15
| ~ spl17_31 ),
inference(forward_demodulation,[],[f119344,f217]) ).
fof(f119455,plain,
( ! [X0] :
( ~ forallprefers(lazy_impl(prop(lazy_impl(prop(X0),X0)),impl(true,lazy_impl(prop(X0),X0))),lazy_impl(prop(sF10),sF12))
| false1 = prop(lazy_impl(prop(X0),X0)) )
| ~ spl17_8
| ~ spl17_13
| ~ spl17_15
| ~ spl17_26
| ~ spl17_31 ),
inference(forward_demodulation,[],[f119400,f665]) ).
fof(f119495,plain,
( ! [X0] :
( ~ forallprefers(lazy_impl(prop(lazy_impl(prop(X0),X0)),impl(true,lazy_impl(prop(X0),X0))),lazy_impl(prop(sF10),sF10))
| false1 = prop(lazy_impl(prop(X0),X0)) )
| ~ spl17_8
| ~ spl17_13
| ~ spl17_15
| ~ spl17_26
| ~ spl17_31
| ~ spl17_327 ),
inference(forward_demodulation,[],[f119455,f60799]) ).
fof(f119526,plain,
( ! [X0] :
( ~ forallprefers(lazy_impl(prop(lazy_impl(prop(X0),X0)),impl(true,lazy_impl(prop(X0),X0))),lazy_impl(sF11,sF10))
| false1 = prop(lazy_impl(prop(X0),X0)) )
| ~ spl17_8
| ~ spl17_13
| ~ spl17_15
| ~ spl17_26
| ~ spl17_31
| ~ spl17_327 ),
inference(forward_demodulation,[],[f119495,f211]) ).
fof(f119555,plain,
( ! [X0] :
( ~ forallprefers(lazy_impl(prop(lazy_impl(prop(X0),X0)),impl(true,lazy_impl(prop(X0),X0))),lazy_impl(false1,sF10))
| false1 = prop(lazy_impl(prop(X0),X0)) )
| ~ spl17_2
| ~ spl17_8
| ~ spl17_13
| ~ spl17_15
| ~ spl17_26
| ~ spl17_31
| ~ spl17_327 ),
inference(forward_demodulation,[],[f119526,f242]) ).
fof(f119576,plain,
( ! [X0] :
( ~ forallprefers(lazy_impl(prop(lazy_impl(prop(X0),X0)),impl(true,lazy_impl(prop(X0),X0))),true)
| false1 = prop(lazy_impl(prop(X0),X0)) )
| ~ spl17_2
| ~ spl17_8
| ~ spl17_13
| ~ spl17_15
| ~ spl17_26
| ~ spl17_31
| ~ spl17_327 ),
inference(forward_demodulation,[],[f119555,f179]) ).
fof(f119595,plain,
( ! [X0] :
( ~ forallprefers(lazy_impl(prop(lazy_impl(prop(X0),X0)),lazy_impl(prop(X0),X0)),true)
| false1 = prop(lazy_impl(prop(X0),X0)) )
| ~ spl17_2
| ~ spl17_8
| ~ spl17_13
| ~ spl17_15
| ~ spl17_26
| ~ spl17_31
| ~ spl17_327 ),
inference(forward_demodulation,[],[f119576,f3629]) ).
fof(f119604,plain,
( ! [X0] :
( ~ forallprefers(lazy_impl(true,lazy_impl(prop(X0),X0)),true)
| false1 = prop(lazy_impl(prop(X0),X0)) )
| ~ spl17_2
| ~ spl17_8
| ~ spl17_13
| ~ spl17_15
| ~ spl17_26
| ~ spl17_31
| ~ spl17_327 ),
inference(forward_demodulation,[],[f119595,f3628]) ).
fof(f119613,plain,
( ! [X0] :
( ~ forallprefers(lazy_impl(prop(X0),X0),true)
| false1 = prop(lazy_impl(prop(X0),X0)) )
| ~ spl17_2
| ~ spl17_8
| ~ spl17_13
| ~ spl17_15
| ~ spl17_26
| ~ spl17_31
| ~ spl17_327 ),
inference(forward_demodulation,[],[f119604,f2545]) ).
fof(f119620,plain,
( ! [X0] :
( true = false1
| ~ forallprefers(lazy_impl(prop(X0),X0),true) )
| ~ spl17_2
| ~ spl17_8
| ~ spl17_13
| ~ spl17_15
| ~ spl17_26
| ~ spl17_31
| ~ spl17_327 ),
inference(forward_demodulation,[],[f119613,f3628]) ).
fof(f119624,plain,
( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),X0),true)
| ~ spl17_2
| ~ spl17_8
| ~ spl17_13
| ~ spl17_15
| ~ spl17_26
| ~ spl17_31
| ~ spl17_327 ),
inference(forward_subsumption_resolution,[],[f119620,f165]) ).
fof(f119629,plain,
( spl17_4
| ~ spl17_2
| ~ spl17_8
| ~ spl17_13
| ~ spl17_15
| ~ spl17_26
| ~ spl17_31
| ~ spl17_327 ),
inference(avatar_split_clause,[],[f119624,f60797,f694,f663,f356,f347,f300,f240,f249]) ).
fof(f119645,plain,
( spl17_330
| ~ spl17_2
| ~ spl17_320 ),
inference(avatar_split_clause,[],[f61399,f59914,f240,f60866]) ).
fof(f119646,plain,
( spl17_331
| ~ spl17_2
| ~ spl17_320 ),
inference(avatar_split_clause,[],[f61414,f59914,f240,f60870]) ).
fof(f119668,plain,
( sF10 = sF12
| ~ spl17_42
| spl17_43
| ~ spl17_320 ),
inference(forward_subsumption_resolution,[],[f61733,f1254]) ).
fof(f119764,definition,
( spl17_525
<=> ! [X0] : d(lazy_impl(prop(X0),sF12)) ),
introduced(definition,[new_symbols(definition,[spl17_525])],[avatar_definition]) ).
fof(f119765,plain,
( ! [X0] : d(lazy_impl(prop(X0),sF12))
| ~ spl17_525 ),
inference(avatar_component_clause,[],[f119764]) ).
fof(f119862,plain,
( ! [X0] :
( ~ d(lazy_impl(sF11,sF12))
| d(lazy_impl(prop(X0),impl(impl(sK7,impl(sK8,X0)),X0))) )
| ~ spl17_26 ),
inference(forward_demodulation,[],[f68751,f211]) ).
fof(f120320,plain,
( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(impl(sK7,impl(false1,X0)),X0)),true)
| ~ spl17_2
| ~ spl17_12
| ~ spl17_26 ),
inference(forward_demodulation,[],[f60414,f345]) ).
fof(f120425,plain,
( spl17_327
| ~ spl17_42
| spl17_43
| ~ spl17_320 ),
inference(avatar_split_clause,[],[f119668,f59914,f1136,f1127,f60797]) ).
fof(f120525,plain,
( ! [X0] :
( ~ d(lazy_impl(false1,sF12))
| d(lazy_impl(prop(X0),impl(impl(sK7,impl(sK8,X0)),X0))) )
| ~ spl17_2
| ~ spl17_26 ),
inference(forward_demodulation,[],[f119862,f242]) ).
fof(f120935,plain,
( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(impl(false1,impl(false1,X0)),X0)),true)
| ~ spl17_2
| ~ spl17_12
| ~ spl17_15
| ~ spl17_26 ),
inference(forward_demodulation,[],[f120320,f358]) ).
fof(f121083,plain,
( ! [X0] :
( ~ d(true)
| d(lazy_impl(prop(X0),impl(impl(sK7,impl(sK8,X0)),X0))) )
| ~ spl17_2
| ~ spl17_26 ),
inference(forward_demodulation,[],[f120525,f179]) ).
fof(f121372,plain,
( ! [X0] : d(lazy_impl(prop(X0),impl(impl(sK7,impl(sK8,X0)),X0)))
| ~ spl17_2
| ~ spl17_26 ),
inference(forward_subsumption_resolution,[],[f121083,f97]) ).
fof(f121850,plain,
( lazy_impl(true,sK8) = not1(sK8)
| true = prop(sF10)
| spl17_320 ),
inference(forward_subsumption_resolution,[],[f10057,f59915]) ).
fof(f121863,plain,
( sF10 = lazy_impl(true,sF10)
| ~ spl17_2
| ~ spl17_319 ),
inference(forward_demodulation,[],[f61333,f59912]) ).
fof(f121942,plain,
( not1(false1) = lazy_impl(true,false1)
| true = prop(sF10)
| ~ spl17_12
| spl17_320 ),
inference(forward_demodulation,[],[f121850,f345]) ).
fof(f121955,plain,
( sF10 = not1(sF10)
| ~ spl17_2
| ~ spl17_319 ),
inference(forward_demodulation,[],[f121863,f61321]) ).
fof(f122030,plain,
( false1 = not1(false1)
| true = prop(sF10)
| ~ spl17_12
| spl17_320 ),
inference(forward_demodulation,[],[f121942,f525]) ).
fof(f122110,plain,
( true = false1
| true = prop(sF10)
| ~ spl17_12
| spl17_320 ),
inference(forward_demodulation,[],[f122030,f197]) ).
fof(f122191,plain,
( true = prop(sF10)
| ~ spl17_12
| spl17_320 ),
inference(forward_subsumption_resolution,[],[f122110,f165]) ).
fof(f122265,plain,
( true = sF11
| ~ spl17_12
| spl17_320 ),
inference(forward_demodulation,[],[f122191,f211]) ).
fof(f122327,plain,
( $false
| spl17_1
| ~ spl17_12
| spl17_320 ),
inference(forward_subsumption_resolution,[],[f122265,f237]) ).
fof(f122328,plain,
( spl17_1
| ~ spl17_12
| spl17_320 ),
inference(avatar_contradiction_clause,[],[f122327]) ).
fof(f122639,plain,
( sF12 = lazy_impl(true,sF10)
| ~ spl17_2
| ~ spl17_320 ),
inference(forward_demodulation,[],[f61405,f61326]) ).
fof(f122816,plain,
( sF12 = not1(sF10)
| ~ spl17_2
| ~ spl17_320 ),
inference(forward_demodulation,[],[f122639,f61321]) ).
fof(f123282,plain,
( sF13 = impl(sK7,sF10)
| ~ spl17_327 ),
inference(superposition,[],[f215,f60799]) ).
fof(f123314,plain,
( sF13 = impl(false1,sF10)
| ~ spl17_15
| ~ spl17_327 ),
inference(forward_demodulation,[],[f123282,f358]) ).
fof(f123325,plain,
( sF13 = lazy_impl(true,sF10)
| ~ spl17_2
| ~ spl17_15
| ~ spl17_327 ),
inference(forward_demodulation,[],[f123314,f61334]) ).
fof(f123330,plain,
( sF13 = not1(sF10)
| ~ spl17_2
| ~ spl17_15
| ~ spl17_327 ),
inference(forward_demodulation,[],[f123325,f61321]) ).
fof(f123332,plain,
( sF10 = sF13
| ~ spl17_2
| ~ spl17_15
| ~ spl17_319
| ~ spl17_327 ),
inference(forward_demodulation,[],[f123330,f121955]) ).
fof(f123336,plain,
( ! [X0] : lazy_impl(true,sF12) = lazy_impl(sF12,X0)
| ~ spl17_41 ),
inference(resolution,[],[f61227,f178]) ).
fof(f123462,plain,
( sF12 = lazy_impl(true,sF12)
| ~ spl17_41
| ~ spl17_324 ),
inference(forward_demodulation,[],[f123336,f60417]) ).
fof(f127108,plain,
( ! [X0] :
( d(lazy_impl(true,sF12))
| true = prop(X0) )
| ~ spl17_189
| ~ spl17_525 ),
inference(superposition,[],[f119765,f107516]) ).
fof(f127173,plain,
( ! [X0] :
( d(sF13)
| true = prop(X0) )
| ~ spl17_32
| ~ spl17_189
| ~ spl17_525 ),
inference(forward_demodulation,[],[f127108,f706]) ).
fof(f127491,plain,
( sF10 != not1(sF10)
| sF10 = impl(true,sF10)
| ~ spl17_2 ),
inference(superposition,[],[f5830,f61321]) ).
fof(f127626,plain,
( ! [X0] :
( sF10 = lazy_impl(true,sF10)
| false1 = prop(true)
| sF10 = lazy_impl(sF10,X0)
| err = lazy_impl(sF10,X0) )
| ~ spl17_2 ),
inference(superposition,[],[f61323,f4808]) ).
fof(f127708,plain,
( ! [X0] :
( sF10 = not1(sF10)
| false1 = prop(true)
| sF10 = lazy_impl(sF10,X0)
| err = lazy_impl(sF10,X0) )
| ~ spl17_2 ),
inference(forward_demodulation,[],[f127626,f61321]) ).
fof(f128822,plain,
( ~ forallprefers(lazy_impl(true,impl(impl(false1,impl(false1,sK6)),sK6)),true)
| ~ spl17_2
| ~ spl17_3
| ~ spl17_12
| ~ spl17_15
| ~ spl17_26 ),
inference(superposition,[],[f120935,f247]) ).
fof(f129077,plain,
( ~ forallprefers(lazy_impl(true,impl(impl(false1,impl(false1,false1)),false1)),true)
| ~ spl17_2
| ~ spl17_3
| ~ spl17_8
| ~ spl17_12
| ~ spl17_15
| ~ spl17_26 ),
inference(forward_demodulation,[],[f128822,f302]) ).
fof(f129110,plain,
( ~ forallprefers(lazy_impl(true,impl(impl(false1,true),false1)),true)
| ~ spl17_2
| ~ spl17_3
| ~ spl17_8
| ~ spl17_12
| ~ spl17_15
| ~ spl17_26 ),
inference(forward_demodulation,[],[f129077,f520]) ).
fof(f129135,plain,
( ~ forallprefers(lazy_impl(true,impl(true,false1)),true)
| ~ spl17_2
| ~ spl17_3
| ~ spl17_8
| ~ spl17_12
| ~ spl17_15
| ~ spl17_26 ),
inference(forward_demodulation,[],[f129110,f519]) ).
fof(f129155,plain,
( ~ forallprefers(lazy_impl(true,false1),true)
| ~ spl17_2
| ~ spl17_3
| ~ spl17_8
| ~ spl17_12
| ~ spl17_15
| ~ spl17_26 ),
inference(forward_demodulation,[],[f129135,f395]) ).
fof(f129168,plain,
( ~ forallprefers(false1,true)
| ~ spl17_2
| ~ spl17_3
| ~ spl17_8
| ~ spl17_12
| ~ spl17_15
| ~ spl17_26 ),
inference(forward_demodulation,[],[f129155,f525]) ).
fof(f129175,plain,
( $false
| ~ spl17_2
| ~ spl17_3
| ~ spl17_8
| ~ spl17_12
| ~ spl17_15
| ~ spl17_26 ),
inference(forward_subsumption_resolution,[],[f129168,f203]) ).
fof(f129176,plain,
( ~ spl17_2
| ~ spl17_3
| ~ spl17_8
| ~ spl17_12
| ~ spl17_15
| ~ spl17_26 ),
inference(avatar_contradiction_clause,[],[f129175]) ).
fof(f129302,plain,
( true != sF9
| ~ spl17_21
| ~ spl17_47 ),
inference(forward_demodulation,[],[f1030,f1616]) ).
fof(f129457,plain,
( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(impl(false1,impl(sK8,X0)),X0)),true)
| ~ spl17_2
| ~ spl17_15
| ~ spl17_26 ),
inference(forward_demodulation,[],[f60414,f358]) ).
fof(f129466,plain,
( true = lazy_impl(true,sK8)
| not1(true) = lazy_impl(true,true)
| false1 = sK8
| spl17_13
| ~ spl17_220 ),
inference(forward_subsumption_resolution,[],[f61117,f348]) ).
fof(f129528,plain,
( ! [X0] : d(lazy_impl(prop(X0),impl(impl(false1,impl(sK8,X0)),X0)))
| ~ spl17_2
| ~ spl17_15
| ~ spl17_26 ),
inference(forward_demodulation,[],[f121372,f358]) ).
fof(f129743,plain,
( true = lazy_impl(true,sK8)
| not1(true) = lazy_impl(true,true)
| spl17_12
| spl17_13
| ~ spl17_220 ),
inference(forward_subsumption_resolution,[],[f129466,f344]) ).
fof(f129934,plain,
( true = sK8
| not1(true) = lazy_impl(true,true)
| spl17_12
| spl17_13
| ~ spl17_215
| ~ spl17_220 ),
inference(forward_demodulation,[],[f129743,f54108]) ).
fof(f130061,plain,
( not1(true) = lazy_impl(true,true)
| spl17_12
| spl17_13
| ~ spl17_215
| ~ spl17_220 ),
inference(forward_subsumption_resolution,[],[f129934,f348]) ).
fof(f130125,plain,
( true = not1(true)
| spl17_12
| spl17_13
| ~ spl17_215
| ~ spl17_220 ),
inference(forward_demodulation,[],[f130061,f388]) ).
fof(f130168,plain,
( true = false1
| spl17_12
| spl17_13
| ~ spl17_215
| ~ spl17_220 ),
inference(forward_demodulation,[],[f130125,f198]) ).
fof(f130206,plain,
( $false
| spl17_12
| spl17_13
| ~ spl17_215
| ~ spl17_220 ),
inference(forward_subsumption_resolution,[],[f130168,f165]) ).
fof(f130207,plain,
( spl17_12
| spl17_13
| ~ spl17_215
| ~ spl17_220 ),
inference(avatar_contradiction_clause,[],[f130206]) ).
fof(f134641,plain,
( spl17_39
| ~ spl17_14
| ~ spl17_42
| spl17_43 ),
inference(avatar_split_clause,[],[f54867,f1136,f1127,f351,f950]) ).
fof(f134689,plain,
( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(impl(false1,sF12),X0)),true)
| ~ spl17_2
| ~ spl17_14
| ~ spl17_15
| ~ spl17_26
| spl17_221 ),
inference(forward_demodulation,[],[f129457,f51268]) ).
fof(f134698,plain,
( ! [X0] : d(lazy_impl(prop(X0),impl(impl(false1,sF12),X0)))
| ~ spl17_2
| ~ spl17_14
| ~ spl17_15
| ~ spl17_26
| spl17_221 ),
inference(forward_demodulation,[],[f129528,f51268]) ).
fof(f134702,plain,
( sF12 = lazy_impl(true,sF12)
| ~ spl17_39
| spl17_219 ),
inference(forward_demodulation,[],[f56150,f952]) ).
fof(f135179,plain,
( sF10 != not1(sF10)
| ~ spl17_2
| spl17_319 ),
inference(forward_subsumption_resolution,[],[f127491,f59911]) ).
fof(f135182,definition,
( spl17_561
<=> err = not1(sF10) ),
introduced(definition,[new_symbols(definition,[spl17_561])],[avatar_definition]) ).
fof(f135183,plain,
( err != not1(sF10)
| spl17_561 ),
inference(avatar_component_clause,[],[f135182]) ).
fof(f135184,plain,
( err = not1(sF10)
| ~ spl17_561 ),
inference(avatar_component_clause,[],[f135182]) ).
fof(f135186,definition,
( spl17_562
<=> sF10 = not1(sF10) ),
introduced(definition,[new_symbols(definition,[spl17_562])],[avatar_definition]) ).
fof(f135204,plain,
( ! [X0] :
( true = false1
| sF10 = not1(sF10)
| sF10 = lazy_impl(sF10,X0)
| err = lazy_impl(sF10,X0) )
| ~ spl17_2 ),
inference(forward_demodulation,[],[f127708,f262]) ).
fof(f135405,plain,
( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(sF13,X0)),true)
| ~ spl17_2
| ~ spl17_14
| ~ spl17_15
| ~ spl17_26
| spl17_221 ),
inference(forward_demodulation,[],[f134689,f2138]) ).
fof(f135414,plain,
( ! [X0] : d(lazy_impl(prop(X0),impl(sF13,X0)))
| ~ spl17_2
| ~ spl17_14
| ~ spl17_15
| ~ spl17_26
| spl17_221 ),
inference(forward_demodulation,[],[f134698,f2138]) ).
fof(f135418,plain,
( sF12 = sF13
| ~ spl17_32
| ~ spl17_39
| spl17_219 ),
inference(forward_demodulation,[],[f134702,f706]) ).
fof(f135844,plain,
( ~ spl17_562
| ~ spl17_2
| spl17_319 ),
inference(avatar_split_clause,[],[f135179,f59910,f240,f135186]) ).
fof(f135856,plain,
( ! [X0] :
( sF10 = not1(sF10)
| sF10 = lazy_impl(sF10,X0)
| err = lazy_impl(sF10,X0) )
| ~ spl17_2 ),
inference(forward_subsumption_resolution,[],[f135204,f165]) ).
fof(f135960,plain,
( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(sF12,X0)),true)
| ~ spl17_2
| ~ spl17_14
| ~ spl17_15
| ~ spl17_26
| ~ spl17_42
| spl17_221 ),
inference(forward_demodulation,[],[f135405,f1129]) ).
fof(f135969,plain,
( ! [X0] : d(lazy_impl(prop(X0),impl(sF12,X0)))
| ~ spl17_2
| ~ spl17_14
| ~ spl17_15
| ~ spl17_26
| ~ spl17_42
| spl17_221 ),
inference(forward_demodulation,[],[f135414,f1129]) ).
fof(f136354,plain,
( ! [X0] :
( sF10 = lazy_impl(true,sF10)
| sF10 = not1(sF10)
| err = lazy_impl(sF10,X0) )
| ~ spl17_2 ),
inference(forward_demodulation,[],[f135856,f61317]) ).
fof(f136431,plain,
( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),sF12),true)
| ~ spl17_2
| ~ spl17_14
| ~ spl17_15
| ~ spl17_26
| ~ spl17_42
| spl17_221
| ~ spl17_325 ),
inference(forward_demodulation,[],[f135960,f60422]) ).
fof(f136440,plain,
( ! [X0] : d(lazy_impl(prop(X0),sF12))
| ~ spl17_2
| ~ spl17_14
| ~ spl17_15
| ~ spl17_26
| ~ spl17_42
| spl17_221
| ~ spl17_325 ),
inference(forward_demodulation,[],[f135969,f60422]) ).
fof(f136507,plain,
( ! [X0] :
( sF10 = not1(sF10)
| sF10 = not1(sF10)
| err = lazy_impl(sF10,X0) )
| ~ spl17_2 ),
inference(forward_demodulation,[],[f136354,f61321]) ).
fof(f136508,plain,
( ! [X0] :
( sF10 = not1(sF10)
| err = lazy_impl(sF10,X0) )
| ~ spl17_2 ),
inference(duplicate_literal_removal,[],[f136507]) ).
fof(f136619,plain,
( err = lazy_impl(true,sF10)
| sF10 = not1(sF10)
| ~ spl17_2 ),
inference(forward_demodulation,[],[f136508,f61317]) ).
fof(f136690,plain,
( err = not1(sF10)
| sF10 = not1(sF10)
| ~ spl17_2 ),
inference(forward_demodulation,[],[f136619,f61321]) ).
fof(f136746,plain,
( spl17_562
| spl17_561
| ~ spl17_2 ),
inference(avatar_split_clause,[],[f136690,f240,f135182,f135186]) ).
fof(f137080,plain,
( false1 != false1
| ~ bool(sK8)
| ~ spl17_36 ),
inference(superposition,[],[f174,f839]) ).
fof(f137202,plain,
( ~ bool(sK8)
| ~ spl17_36 ),
inference(trivial_inequality_removal,[],[f137080]) ).
fof(f137339,plain,
( true != true
| false1 = prop(sK8)
| spl17_219 ),
inference(superposition,[],[f47543,f510]) ).
fof(f137366,plain,
( false1 = prop(sK8)
| spl17_219 ),
inference(trivial_inequality_removal,[],[f137339]) ).
fof(f138338,plain,
( ! [X0] :
( ~ d(lazy_impl(prop(X0),sF12))
| ~ d(true)
| bool(lazy_impl(prop(X0),sF12))
| ~ bool(true) )
| ~ spl17_2
| ~ spl17_14
| ~ spl17_15
| ~ spl17_26
| ~ spl17_42
| spl17_221
| ~ spl17_325 ),
inference(resolution,[],[f136431,f99]) ).
fof(f138425,plain,
( ! [X0] :
( ~ d(lazy_impl(prop(X0),sF12))
| bool(lazy_impl(prop(X0),sF12))
| ~ bool(true) )
| ~ spl17_2
| ~ spl17_14
| ~ spl17_15
| ~ spl17_26
| ~ spl17_42
| spl17_221
| ~ spl17_325 ),
inference(forward_subsumption_resolution,[],[f138338,f97]) ).
fof(f138445,plain,
( ! [X0] :
( ~ d(lazy_impl(prop(X0),sF12))
| bool(lazy_impl(prop(X0),sF12)) )
| ~ spl17_2
| ~ spl17_14
| ~ spl17_15
| ~ spl17_26
| ~ spl17_42
| spl17_221
| ~ spl17_325 ),
inference(forward_subsumption_resolution,[],[f138425,f201]) ).
fof(f138472,plain,
( ! [X0] : bool(lazy_impl(prop(X0),sF12))
| ~ spl17_2
| ~ spl17_14
| ~ spl17_15
| ~ spl17_26
| ~ spl17_42
| spl17_221
| ~ spl17_325
| ~ spl17_525 ),
inference(forward_subsumption_resolution,[],[f138445,f119765]) ).
fof(f140506,plain,
( ! [X0] :
( bool(lazy_impl(true,sF12))
| false1 = X0
| true = X0 )
| ~ spl17_2
| ~ spl17_14
| ~ spl17_15
| ~ spl17_26
| ~ spl17_42
| ~ spl17_120
| ~ spl17_122
| spl17_221
| ~ spl17_325
| ~ spl17_525 ),
inference(superposition,[],[f138472,f39575]) ).
fof(f140562,plain,
( ! [X0] :
( bool(sF13)
| false1 = X0
| true = X0 )
| ~ spl17_2
| ~ spl17_14
| ~ spl17_15
| ~ spl17_26
| ~ spl17_32
| ~ spl17_42
| ~ spl17_120
| ~ spl17_122
| spl17_221
| ~ spl17_325
| ~ spl17_525 ),
inference(forward_demodulation,[],[f140506,f706]) ).
fof(f140583,plain,
( ! [X0] :
( bool(sF12)
| false1 = X0
| true = X0 )
| ~ spl17_2
| ~ spl17_14
| ~ spl17_15
| ~ spl17_26
| ~ spl17_32
| ~ spl17_42
| ~ spl17_120
| ~ spl17_122
| spl17_221
| ~ spl17_325
| ~ spl17_525 ),
inference(forward_demodulation,[],[f140562,f1129]) ).
fof(f140605,plain,
( ! [X0] :
( false1 = X0
| true = X0 )
| ~ spl17_2
| ~ spl17_14
| ~ spl17_15
| ~ spl17_26
| ~ spl17_32
| ~ spl17_41
| ~ spl17_42
| ~ spl17_120
| ~ spl17_122
| spl17_221
| ~ spl17_325
| ~ spl17_525 ),
inference(forward_subsumption_resolution,[],[f140583,f61227]) ).
fof(f140621,plain,
( spl17_52
| ~ spl17_2
| ~ spl17_14
| ~ spl17_15
| ~ spl17_26
| ~ spl17_32
| ~ spl17_41
| ~ spl17_42
| ~ spl17_120
| ~ spl17_122
| spl17_221
| ~ spl17_325
| ~ spl17_525 ),
inference(avatar_split_clause,[],[f140605,f119764,f60421,f47631,f20374,f20367,f1127,f1123,f704,f663,f356,f351,f240,f3131]) ).
fof(f140625,plain,
( spl17_525
| ~ spl17_2
| ~ spl17_14
| ~ spl17_15
| ~ spl17_26
| ~ spl17_42
| spl17_221
| ~ spl17_325 ),
inference(avatar_split_clause,[],[f136440,f60421,f47631,f1127,f663,f356,f351,f240,f119764]) ).
fof(f140749,plain,
( err = sF12
| ~ spl17_2
| ~ spl17_320
| ~ spl17_561 ),
inference(forward_demodulation,[],[f122816,f135184]) ).
fof(f140827,plain,
( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(err,X0)),true)
| ~ spl17_2
| ~ spl17_14
| ~ spl17_15
| ~ spl17_26
| ~ spl17_40
| ~ spl17_42
| spl17_221 ),
inference(forward_demodulation,[],[f135960,f53865]) ).
fof(f141109,plain,
( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),err),true)
| ~ spl17_2
| ~ spl17_14
| ~ spl17_15
| ~ spl17_26
| ~ spl17_40
| ~ spl17_42
| ~ spl17_149
| spl17_221 ),
inference(forward_demodulation,[],[f140827,f21483]) ).
fof(f141335,plain,
( spl17_146
| ~ spl17_2
| ~ spl17_14
| ~ spl17_15
| ~ spl17_26
| ~ spl17_40
| ~ spl17_42
| ~ spl17_149
| spl17_221 ),
inference(avatar_split_clause,[],[f141109,f47631,f21482,f1127,f1059,f663,f356,f351,f240,f21470]) ).
fof(f141856,plain,
( spl17_19
| ~ spl17_10
| ~ spl17_42 ),
inference(avatar_split_clause,[],[f1212,f1127,f334,f605]) ).
fof(f141963,plain,
( false1 != prop(sF12)
| spl17_28
| ~ spl17_42 ),
inference(forward_demodulation,[],[f680,f1129]) ).
fof(f142412,plain,
! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(impl(sK7,impl(sK8,X0)),X0)),lazy_impl(sF11,sF14)),
inference(forward_demodulation,[],[f59622,f211]) ).
fof(f142413,plain,
! [X0] :
( ~ forallprefers(lazy_impl(prop(X0),lazy_impl(true,impl(sK7,impl(sK8,X0)))),lazy_impl(sF11,sF14))
| true = impl(sK7,impl(sK8,X0))
| false1 = impl(sK7,impl(sK8,X0)) ),
inference(forward_demodulation,[],[f59652,f211]) ).
fof(f142416,plain,
! [X0] :
( ~ d(lazy_impl(sF11,sF14))
| d(lazy_impl(prop(X0),impl(impl(sK7,impl(sK8,X0)),X0))) ),
inference(forward_demodulation,[],[f68746,f211]) ).
fof(f142419,plain,
! [X0] :
( ~ forallprefers(lazy_impl(prop(X0),lazy_impl(true,impl(sK7,impl(sK8,X0)))),lazy_impl(sF11,sF14))
| true = prop(impl(sK7,impl(sK8,X0))) ),
inference(forward_demodulation,[],[f101862,f211]) ).
fof(f142425,plain,
( sF14 = impl(true,sF10)
| ~ spl17_19
| ~ spl17_42 ),
inference(forward_demodulation,[],[f60964,f607]) ).
fof(f143253,plain,
! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(impl(sK7,impl(sK8,X0)),X0)),sF15),
inference(forward_demodulation,[],[f142412,f219]) ).
fof(f143254,plain,
! [X0] :
( ~ forallprefers(lazy_impl(prop(X0),lazy_impl(true,impl(sK7,impl(sK8,X0)))),sF15)
| true = impl(sK7,impl(sK8,X0))
| false1 = impl(sK7,impl(sK8,X0)) ),
inference(forward_demodulation,[],[f142413,f219]) ).
fof(f143255,plain,
! [X0] :
( ~ d(sF15)
| d(lazy_impl(prop(X0),impl(impl(sK7,impl(sK8,X0)),X0))) ),
inference(forward_demodulation,[],[f142416,f219]) ).
fof(f143258,plain,
! [X0] :
( ~ forallprefers(lazy_impl(prop(X0),lazy_impl(true,impl(sK7,impl(sK8,X0)))),sF15)
| true = prop(impl(sK7,impl(sK8,X0))) ),
inference(forward_demodulation,[],[f142419,f219]) ).
fof(f144951,plain,
( spl17_221
| ~ spl17_12
| ~ spl17_15 ),
inference(avatar_split_clause,[],[f506,f356,f343,f47631]) ).
fof(f145525,plain,
( sF14 = impl(true,false1)
| ~ spl17_19
| ~ spl17_24
| ~ spl17_42 ),
inference(forward_demodulation,[],[f142425,f657]) ).
fof(f146041,plain,
( false1 = sF14
| ~ spl17_19
| ~ spl17_24
| ~ spl17_42 ),
inference(forward_demodulation,[],[f145525,f395]) ).
fof(f146908,plain,
( true = err
| ~ spl17_22
| ~ spl17_47 ),
inference(forward_demodulation,[],[f60977,f624]) ).
fof(f147084,plain,
( $false
| ~ spl17_22
| ~ spl17_47 ),
inference(forward_subsumption_resolution,[],[f146908,f93]) ).
fof(f147085,plain,
( ~ spl17_22
| ~ spl17_47 ),
inference(avatar_contradiction_clause,[],[f147084]) ).
fof(f148012,plain,
( ! [X0,X1] :
( ~ forallprefers(lazy_impl(prop(X0),impl(true,X0)),lazy_impl(true,true))
| true = X1
| false1 = X1 )
| ~ spl17_124
| ~ spl17_132 ),
inference(forward_demodulation,[],[f79017,f20764]) ).
fof(f148665,plain,
( ! [X0,X1] :
( ~ forallprefers(lazy_impl(prop(X0),impl(true,X0)),true)
| true = X1
| false1 = X1 )
| ~ spl17_124
| ~ spl17_132 ),
inference(forward_demodulation,[],[f148012,f388]) ).
fof(f148988,plain,
( spl17_52
| spl17_125
| ~ spl17_124
| ~ spl17_132 ),
inference(avatar_split_clause,[],[f148665,f20763,f20386,f20389,f3131]) ).
fof(f150956,plain,
( ~ forallprefers(lazy_impl(true,sF15),false1)
| ~ spl17_8
| ~ spl17_312 ),
inference(superposition,[],[f1016,f59574]) ).
fof(f151115,plain,
( ~ forallprefers(sF16,false1)
| ~ spl17_8
| ~ spl17_312 ),
inference(forward_demodulation,[],[f150956,f221]) ).
fof(f151167,plain,
( ~ forallprefers(err,false1)
| ~ spl17_8
| ~ spl17_22
| ~ spl17_312 ),
inference(forward_demodulation,[],[f151115,f624]) ).
fof(f151194,plain,
( ~ spl17_77
| ~ spl17_8
| ~ spl17_22
| ~ spl17_312 ),
inference(avatar_split_clause,[],[f151167,f59572,f622,f300,f14078]) ).
fof(f151233,plain,
( true != prop(false1)
| ~ spl17_278
| spl17_312 ),
inference(forward_demodulation,[],[f59573,f52761]) ).
fof(f151244,plain,
( $false
| ~ spl17_278
| spl17_312 ),
inference(forward_subsumption_resolution,[],[f151233,f393]) ).
fof(f151245,plain,
( ~ spl17_278
| spl17_312 ),
inference(avatar_contradiction_clause,[],[f151244]) ).
fof(f151363,plain,
( sF15 = lazy_impl(true,sF14)
| ~ spl17_1 ),
inference(superposition,[],[f219,f238]) ).
fof(f151364,plain,
( sF15 = lazy_impl(true,false1)
| ~ spl17_1
| ~ spl17_285 ),
inference(forward_demodulation,[],[f151363,f55875]) ).
fof(f151366,plain,
( false1 = sF15
| ~ spl17_1
| ~ spl17_285 ),
inference(forward_demodulation,[],[f151364,f525]) ).
fof(f151513,plain,
( sF13 = sF14
| ~ spl17_11
| ~ spl17_32
| ~ spl17_42 ),
inference(forward_demodulation,[],[f1279,f706]) ).
fof(f155003,plain,
( false1 = prop(false1)
| false1 = prop(err)
| spl17_76 ),
inference(forward_subsumption_resolution,[],[f108729,f166]) ).
fof(f155154,plain,
( false1 = prop(false1)
| spl17_66
| spl17_76 ),
inference(forward_subsumption_resolution,[],[f155003,f9632]) ).
fof(f155214,plain,
( true = false1
| spl17_66
| spl17_76 ),
inference(forward_demodulation,[],[f155154,f393]) ).
fof(f155242,plain,
( $false
| spl17_66
| spl17_76 ),
inference(forward_subsumption_resolution,[],[f155214,f165]) ).
fof(f155243,plain,
( spl17_66
| spl17_76 ),
inference(avatar_contradiction_clause,[],[f155242]) ).
fof(f155542,plain,
( sF12 = impl(true,sF10)
| ~ spl17_13 ),
inference(superposition,[],[f213,f349]) ).
fof(f155544,plain,
( sF10 = sK0(false1,true)
| ~ spl17_13
| ~ spl17_15 ),
inference(superposition,[],[f2137,f349]) ).
fof(f155546,plain,
( err = impl(true,sF10)
| ~ spl17_2
| ~ spl17_13
| ~ spl17_320
| ~ spl17_561 ),
inference(forward_demodulation,[],[f155542,f140749]) ).
fof(f157712,plain,
( sF10 = sF12
| false1 = prop(true)
| lazy_impl(true,sF10) = not1(sF10)
| ~ spl17_330 ),
inference(superposition,[],[f60867,f494]) ).
fof(f157718,plain,
( ! [X0] :
( sF10 = sF12
| false1 = prop(true)
| err = lazy_impl(sF10,X0) )
| ~ spl17_330 ),
inference(superposition,[],[f60867,f31649]) ).
fof(f157728,plain,
( true = sF12
| false1 = prop(false1)
| lazy_impl(true,sF10) = not1(sF10)
| ~ spl17_330 ),
inference(superposition,[],[f60867,f514]) ).
fof(f166219,plain,
( ! [X0] :
( sF10 != sF10
| err = lazy_impl(sF10,X0) )
| spl17_319 ),
inference(superposition,[],[f59911,f31649]) ).
fof(f166232,plain,
( ! [X0] : err = lazy_impl(sF10,X0)
| spl17_319 ),
inference(trivial_inequality_removal,[],[f166219]) ).
fof(f169176,plain,
( ! [X0] : true = prop(lazy_impl(prop(X0),impl(true,X0)))
| ~ spl17_120
| ~ spl17_122 ),
inference(resolution,[],[f38881,f109]) ).
fof(f169182,plain,
( ! [X0] : true = impl(false1,lazy_impl(prop(X0),impl(true,X0)))
| ~ spl17_120
| ~ spl17_122 ),
inference(resolution,[],[f38881,f177]) ).
fof(f175291,plain,
( ~ forallprefers(lazy_impl(true,impl(true,sK6)),lazy_impl(prop(sK0(false1,true)),impl(impl(false1,impl(true,sK0(false1,true))),sK0(false1,true))))
| true = false1
| ~ spl17_3 ),
inference(superposition,[],[f119154,f247]) ).
fof(f175734,plain,
( ~ forallprefers(lazy_impl(true,impl(true,sK6)),lazy_impl(prop(sK0(false1,true)),impl(impl(false1,impl(true,sK0(false1,true))),sK0(false1,true))))
| ~ spl17_3 ),
inference(forward_subsumption_resolution,[],[f175291,f165]) ).
fof(f175859,plain,
( ~ forallprefers(lazy_impl(true,impl(true,sK6)),lazy_impl(prop(sF10),impl(impl(false1,impl(true,sF10)),sF10)))
| ~ spl17_3
| ~ spl17_13
| ~ spl17_15 ),
inference(forward_demodulation,[],[f175734,f155544]) ).
fof(f175984,plain,
( ~ forallprefers(lazy_impl(true,impl(true,sK6)),lazy_impl(prop(sF10),impl(impl(false1,err),sF10)))
| ~ spl17_2
| ~ spl17_3
| ~ spl17_13
| ~ spl17_15
| ~ spl17_320
| ~ spl17_561 ),
inference(forward_demodulation,[],[f175859,f155546]) ).
fof(f176108,plain,
( ~ forallprefers(lazy_impl(true,impl(true,sK6)),lazy_impl(prop(sF10),impl(err,sF10)))
| ~ spl17_2
| ~ spl17_3
| ~ spl17_13
| ~ spl17_15
| spl17_76
| ~ spl17_320
| ~ spl17_561 ),
inference(forward_demodulation,[],[f175984,f22648]) ).
fof(f176230,plain,
( ~ forallprefers(lazy_impl(true,impl(true,sK6)),lazy_impl(prop(sF10),err))
| ~ spl17_2
| ~ spl17_3
| ~ spl17_13
| ~ spl17_15
| spl17_76
| ~ spl17_149
| ~ spl17_320
| ~ spl17_561 ),
inference(forward_demodulation,[],[f176108,f21483]) ).
fof(f176333,plain,
( ~ forallprefers(lazy_impl(true,impl(true,sK6)),lazy_impl(sF11,err))
| ~ spl17_2
| ~ spl17_3
| ~ spl17_13
| ~ spl17_15
| spl17_76
| ~ spl17_149
| ~ spl17_320
| ~ spl17_561 ),
inference(forward_demodulation,[],[f176230,f211]) ).
fof(f176426,plain,
( ~ forallprefers(lazy_impl(true,impl(true,sK6)),lazy_impl(false1,err))
| ~ spl17_2
| ~ spl17_3
| ~ spl17_13
| ~ spl17_15
| spl17_76
| ~ spl17_149
| ~ spl17_320
| ~ spl17_561 ),
inference(forward_demodulation,[],[f176333,f242]) ).
fof(f176461,plain,
( ~ forallprefers(lazy_impl(true,impl(true,sK6)),true)
| ~ spl17_2
| ~ spl17_3
| ~ spl17_13
| ~ spl17_15
| spl17_76
| ~ spl17_149
| ~ spl17_320
| ~ spl17_561 ),
inference(forward_demodulation,[],[f176426,f179]) ).
fof(f176493,plain,
( ~ forallprefers(lazy_impl(true,impl(true,false1)),true)
| ~ spl17_2
| ~ spl17_3
| ~ spl17_8
| ~ spl17_13
| ~ spl17_15
| spl17_76
| ~ spl17_149
| ~ spl17_320
| ~ spl17_561 ),
inference(forward_demodulation,[],[f176461,f302]) ).
fof(f176506,plain,
( ~ forallprefers(lazy_impl(true,false1),true)
| ~ spl17_2
| ~ spl17_3
| ~ spl17_8
| ~ spl17_13
| ~ spl17_15
| spl17_76
| ~ spl17_149
| ~ spl17_320
| ~ spl17_561 ),
inference(forward_demodulation,[],[f176493,f395]) ).
fof(f176515,plain,
( ~ forallprefers(false1,true)
| ~ spl17_2
| ~ spl17_3
| ~ spl17_8
| ~ spl17_13
| ~ spl17_15
| spl17_76
| ~ spl17_149
| ~ spl17_320
| ~ spl17_561 ),
inference(forward_demodulation,[],[f176506,f525]) ).
fof(f176523,plain,
( $false
| ~ spl17_2
| ~ spl17_3
| ~ spl17_8
| ~ spl17_13
| ~ spl17_15
| spl17_76
| ~ spl17_149
| ~ spl17_320
| ~ spl17_561 ),
inference(forward_subsumption_resolution,[],[f176515,f203]) ).
fof(f176524,plain,
( ~ spl17_2
| ~ spl17_3
| ~ spl17_8
| ~ spl17_13
| ~ spl17_15
| spl17_76
| ~ spl17_149
| ~ spl17_320
| ~ spl17_561 ),
inference(avatar_contradiction_clause,[],[f176523]) ).
fof(f176540,plain,
( $false
| ~ spl17_32
| spl17_42
| ~ spl17_320
| ~ spl17_327 ),
inference(forward_subsumption_resolution,[],[f61050,f1128]) ).
fof(f176541,plain,
( ~ spl17_32
| spl17_42
| ~ spl17_320
| ~ spl17_327 ),
inference(avatar_contradiction_clause,[],[f176540]) ).
fof(f181064,plain,
( spl17_326
| spl17_319 ),
inference(avatar_split_clause,[],[f166232,f59910,f60794]) ).
fof(f181377,plain,
( false1 = prop(false1)
| lazy_impl(true,sF10) = not1(sF10)
| spl17_19
| ~ spl17_330 ),
inference(forward_subsumption_resolution,[],[f157728,f606]) ).
fof(f181382,plain,
( false1 = prop(true)
| lazy_impl(true,sF10) = not1(sF10)
| spl17_327
| ~ spl17_330 ),
inference(forward_subsumption_resolution,[],[f157712,f60798]) ).
fof(f181553,plain,
( ! [X0] :
( false1 = prop(true)
| err = lazy_impl(sF10,X0) )
| spl17_327
| ~ spl17_330 ),
inference(forward_subsumption_resolution,[],[f157718,f60798]) ).
fof(f181961,plain,
( err = lazy_impl(true,sF13)
| ~ spl17_11
| ~ spl17_40 ),
inference(forward_demodulation,[],[f340,f1061]) ).
fof(f182681,plain,
( true = false1
| lazy_impl(true,sF10) = not1(sF10)
| spl17_19
| ~ spl17_330 ),
inference(forward_demodulation,[],[f181377,f393]) ).
fof(f182685,plain,
( true = false1
| lazy_impl(true,sF10) = not1(sF10)
| spl17_327
| ~ spl17_330 ),
inference(forward_demodulation,[],[f181382,f262]) ).
fof(f182848,plain,
( ! [X0] :
( true = false1
| err = lazy_impl(sF10,X0) )
| spl17_327
| ~ spl17_330 ),
inference(forward_demodulation,[],[f181553,f262]) ).
fof(f183548,plain,
( lazy_impl(true,sF10) = not1(sF10)
| spl17_19
| ~ spl17_330 ),
inference(forward_subsumption_resolution,[],[f182681,f165]) ).
fof(f183552,plain,
( lazy_impl(true,sF10) = not1(sF10)
| spl17_327
| ~ spl17_330 ),
inference(forward_subsumption_resolution,[],[f182685,f165]) ).
fof(f183645,plain,
( ! [X0] : err = lazy_impl(sF10,X0)
| spl17_327
| ~ spl17_330 ),
inference(forward_subsumption_resolution,[],[f182848,f165]) ).
fof(f184083,plain,
( err = sF12
| spl17_327
| ~ spl17_330
| ~ spl17_331 ),
inference(forward_demodulation,[],[f183645,f60871]) ).
fof(f184984,plain,
( true = sF10
| ~ spl17_2
| ~ spl17_10
| ~ spl17_15
| ~ spl17_319
| ~ spl17_327 ),
inference(forward_demodulation,[],[f123332,f336]) ).
fof(f185607,plain,
( err = lazy_impl(true,true)
| ~ spl17_10
| ~ spl17_11
| ~ spl17_40 ),
inference(forward_demodulation,[],[f181961,f336]) ).
fof(f185616,plain,
( false1 != lazy_impl(true,false1)
| ~ spl17_18
| spl17_20 ),
inference(forward_demodulation,[],[f610,f603]) ).
fof(f185967,plain,
( $false
| ~ spl17_2
| ~ spl17_10
| ~ spl17_15
| spl17_25
| ~ spl17_319
| ~ spl17_327 ),
inference(forward_subsumption_resolution,[],[f184984,f660]) ).
fof(f185968,plain,
( ~ spl17_2
| ~ spl17_10
| ~ spl17_15
| spl17_25
| ~ spl17_319
| ~ spl17_327 ),
inference(avatar_contradiction_clause,[],[f185967]) ).
fof(f186366,plain,
( true = err
| ~ spl17_10
| ~ spl17_11
| ~ spl17_40 ),
inference(forward_demodulation,[],[f185607,f388]) ).
fof(f186375,plain,
( $false
| ~ spl17_18
| spl17_20 ),
inference(forward_subsumption_resolution,[],[f185616,f525]) ).
fof(f186376,plain,
( ~ spl17_18
| spl17_20 ),
inference(avatar_contradiction_clause,[],[f186375]) ).
fof(f186929,plain,
( $false
| ~ spl17_10
| ~ spl17_11
| ~ spl17_40 ),
inference(forward_subsumption_resolution,[],[f186366,f93]) ).
fof(f186930,plain,
( ~ spl17_10
| ~ spl17_11
| ~ spl17_40 ),
inference(avatar_contradiction_clause,[],[f186929]) ).
fof(f191967,plain,
( sF14 = impl(true,sF10)
| ~ spl17_10 ),
inference(superposition,[],[f217,f336]) ).
fof(f191968,plain,
( sF10 = sF14
| ~ spl17_10
| ~ spl17_319 ),
inference(forward_demodulation,[],[f191967,f59912]) ).
fof(f192041,plain,
( false1 = sF14
| ~ spl17_10
| ~ spl17_24
| ~ spl17_319 ),
inference(forward_demodulation,[],[f191968,f657]) ).
fof(f192104,plain,
( $false
| ~ spl17_10
| ~ spl17_24
| spl17_285
| ~ spl17_319 ),
inference(forward_subsumption_resolution,[],[f192041,f55874]) ).
fof(f192105,plain,
( ~ spl17_10
| ~ spl17_24
| spl17_285
| ~ spl17_319 ),
inference(avatar_contradiction_clause,[],[f192104]) ).
fof(f192293,plain,
( spl17_19
| ~ spl17_12
| ~ spl17_24 ),
inference(avatar_split_clause,[],[f58800,f655,f343,f605]) ).
fof(f192295,plain,
( ~ spl17_43
| spl17_15
| spl17_16
| ~ spl17_17
| ~ spl17_22 ),
inference(avatar_split_clause,[],[f1798,f622,f364,f360,f356,f1136]) ).
fof(f192732,plain,
( true = prop(err)
| ~ spl17_43
| ~ spl17_49 ),
inference(forward_demodulation,[],[f1790,f1138]) ).
fof(f193169,plain,
( $false
| ~ spl17_43
| spl17_48
| ~ spl17_49 ),
inference(forward_subsumption_resolution,[],[f192732,f1740]) ).
fof(f193170,plain,
( ~ spl17_43
| spl17_48
| ~ spl17_49 ),
inference(avatar_contradiction_clause,[],[f193169]) ).
fof(f194177,plain,
( sF13 = sF14
| spl17_9
| spl17_10
| ~ spl17_11
| spl17_15
| spl17_16
| ~ spl17_17
| spl17_43 ),
inference(forward_demodulation,[],[f2106,f2079]) ).
fof(f194367,plain,
( err = sF13
| spl17_9
| spl17_10
| ~ spl17_11
| spl17_15
| spl17_16
| ~ spl17_17
| ~ spl17_40
| spl17_43 ),
inference(forward_demodulation,[],[f194177,f1061]) ).
fof(f194541,plain,
( $false
| spl17_9
| spl17_10
| ~ spl17_11
| spl17_15
| spl17_16
| ~ spl17_17
| ~ spl17_40
| spl17_43 ),
inference(forward_subsumption_resolution,[],[f194367,f1137]) ).
fof(f194542,plain,
( spl17_9
| spl17_10
| ~ spl17_11
| spl17_15
| spl17_16
| ~ spl17_17
| ~ spl17_40
| spl17_43 ),
inference(avatar_contradiction_clause,[],[f194541]) ).
fof(f195247,plain,
( true != sF13
| spl17_15
| spl17_16
| ~ spl17_17
| ~ spl17_21
| ~ spl17_47 ),
inference(forward_demodulation,[],[f129302,f746]) ).
fof(f195341,plain,
( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(impl(sK7,impl(sK8,X0)),X0)),true)
| ~ spl17_47 ),
inference(forward_demodulation,[],[f143253,f1616]) ).
fof(f195342,plain,
( ! [X0] :
( ~ forallprefers(lazy_impl(prop(X0),lazy_impl(true,impl(sK7,impl(sK8,X0)))),true)
| true = impl(sK7,impl(sK8,X0))
| false1 = impl(sK7,impl(sK8,X0)) )
| ~ spl17_47 ),
inference(forward_demodulation,[],[f143254,f1616]) ).
fof(f195343,plain,
( ! [X0] :
( ~ d(true)
| d(lazy_impl(prop(X0),impl(impl(sK7,impl(sK8,X0)),X0))) )
| ~ spl17_47 ),
inference(forward_demodulation,[],[f143255,f1616]) ).
fof(f195344,plain,
( ! [X0] :
( ~ forallprefers(lazy_impl(prop(X0),lazy_impl(true,impl(sK7,impl(sK8,X0)))),true)
| true = prop(impl(sK7,impl(sK8,X0))) )
| ~ spl17_47 ),
inference(forward_demodulation,[],[f143258,f1616]) ).
fof(f195669,plain,
( false1 != prop(sF10)
| spl17_41
| ~ spl17_327 ),
inference(forward_demodulation,[],[f1124,f60799]) ).
fof(f195946,plain,
( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(impl(sK7,impl(false1,X0)),X0)),true)
| ~ spl17_12
| ~ spl17_47 ),
inference(forward_demodulation,[],[f195341,f345]) ).
fof(f195948,plain,
( ! [X0] : d(lazy_impl(prop(X0),impl(impl(sK7,impl(sK8,X0)),X0)))
| ~ spl17_47 ),
inference(forward_subsumption_resolution,[],[f195343,f97]) ).
fof(f196263,plain,
( false1 != sF11
| spl17_41
| ~ spl17_327 ),
inference(forward_demodulation,[],[f195669,f211]) ).
fof(f196661,plain,
( $false
| ~ spl17_2
| spl17_41
| ~ spl17_327 ),
inference(forward_subsumption_resolution,[],[f196263,f242]) ).
fof(f196662,plain,
( ~ spl17_2
| spl17_41
| ~ spl17_327 ),
inference(avatar_contradiction_clause,[],[f196661]) ).
fof(f197483,plain,
( false1 != false1
| ~ bool(sK7)
| ~ spl17_35 ),
inference(superposition,[],[f174,f741]) ).
fof(f197596,plain,
( ~ bool(sK7)
| ~ spl17_35 ),
inference(trivial_inequality_removal,[],[f197483]) ).
fof(f197715,plain,
( false1 != false1
| ~ bool(sF13)
| ~ spl17_28 ),
inference(superposition,[],[f174,f681]) ).
fof(f197828,plain,
( ~ bool(sF13)
| ~ spl17_28 ),
inference(trivial_inequality_removal,[],[f197715]) ).
fof(f197949,plain,
( sF13 = lazy_impl(true,sF13)
| ~ spl17_273 ),
inference(resolution,[],[f52643,f171]) ).
fof(f197951,plain,
( sF13 = sF14
| ~ spl17_11
| ~ spl17_273 ),
inference(forward_demodulation,[],[f197949,f340]) ).
fof(f198311,plain,
( ! [X0] : lazy_impl(true,sK7) = impl(sK7,X0)
| ~ spl17_35 ),
inference(resolution,[],[f197596,f175]) ).
fof(f198322,plain,
( lazy_impl(true,sK7) = and1(false1,sK7)
| ~ spl17_35 ),
inference(resolution,[],[f197596,f391]) ).
fof(f198427,plain,
( sF13 = and1(false1,sK7)
| ~ spl17_17
| ~ spl17_35 ),
inference(forward_demodulation,[],[f198322,f366]) ).
fof(f201209,plain,
( spl17_50
| ~ spl17_11
| spl17_40 ),
inference(avatar_split_clause,[],[f1132,f1059,f338,f1815]) ).
fof(f201216,plain,
( spl17_50
| ~ spl17_11
| ~ spl17_17
| spl17_43 ),
inference(avatar_split_clause,[],[f1856,f1136,f364,f338,f1815]) ).
fof(f201333,plain,
( ! [X0] : lazy_impl(true,sF13) = impl(sF13,X0)
| ~ spl17_17
| ~ spl17_35
| spl17_43 ),
inference(forward_demodulation,[],[f198311,f1804]) ).
fof(f201386,plain,
( sF13 = and1(false1,sF13)
| ~ spl17_17
| ~ spl17_35
| spl17_43 ),
inference(forward_demodulation,[],[f198427,f1804]) ).
fof(f204769,definition,
( spl17_1031
<=> ! [X0] : d(lazy_impl(prop(X0),sF13)) ),
introduced(definition,[new_symbols(definition,[spl17_1031])],[avatar_definition]) ).
fof(f204770,plain,
( ! [X0] : d(lazy_impl(prop(X0),sF13))
| ~ spl17_1031 ),
inference(avatar_component_clause,[],[f204769]) ).
fof(f205044,plain,
( ~ bool(sF13)
| ~ spl17_17
| ~ spl17_35
| spl17_43 ),
inference(superposition,[],[f197596,f1804]) ).
fof(f205059,plain,
( ! [X0] : ~ forallprefers(lazy_impl(true,impl(impl(sK7,impl(false1,lazy_impl(prop(X0),impl(true,X0)))),lazy_impl(prop(X0),impl(true,X0)))),true)
| ~ spl17_12
| ~ spl17_47
| ~ spl17_120
| ~ spl17_122 ),
inference(superposition,[],[f195946,f169176]) ).
fof(f205382,plain,
( ! [X0] : ~ forallprefers(lazy_impl(true,impl(impl(sK7,true),lazy_impl(prop(X0),impl(true,X0)))),true)
| ~ spl17_12
| ~ spl17_47
| ~ spl17_120
| ~ spl17_122 ),
inference(forward_demodulation,[],[f205059,f169182]) ).
fof(f207620,plain,
( false1 = sF13
| false1 = prop(sF13)
| ~ spl17_17
| ~ spl17_35
| spl17_43 ),
inference(superposition,[],[f201386,f495]) ).
fof(f209658,plain,
( false1 = prop(sF13)
| spl17_9
| ~ spl17_17
| ~ spl17_35
| spl17_43 ),
inference(forward_subsumption_resolution,[],[f207620,f331]) ).
fof(f210047,plain,
( $false
| spl17_9
| ~ spl17_17
| spl17_28
| ~ spl17_35
| spl17_43 ),
inference(forward_subsumption_resolution,[],[f209658,f680]) ).
fof(f210048,plain,
( spl17_9
| ~ spl17_17
| spl17_28
| ~ spl17_35
| spl17_43 ),
inference(avatar_contradiction_clause,[],[f210047]) ).
fof(f210316,definition,
( spl17_1040
<=> err = sF12 ),
introduced(definition,[new_symbols(definition,[spl17_1040])],[avatar_definition]) ).
fof(f210317,plain,
( err != sF12
| spl17_1040 ),
inference(avatar_component_clause,[],[f210316]) ).
fof(f210318,plain,
( err = sF12
| ~ spl17_1040 ),
inference(avatar_component_clause,[],[f210316]) ).
fof(f210391,plain,
( spl17_1040
| spl17_327
| ~ spl17_330
| ~ spl17_331 ),
inference(avatar_split_clause,[],[f184083,f60870,f60866,f60797,f210316]) ).
fof(f210824,plain,
( ! [X0] : sF14 = impl(sF13,X0)
| ~ spl17_11
| ~ spl17_17
| ~ spl17_35
| spl17_43 ),
inference(forward_demodulation,[],[f201333,f340]) ).
fof(f211629,plain,
( ! [X0] : sF13 = impl(sF13,X0)
| ~ spl17_11
| ~ spl17_17
| ~ spl17_35
| spl17_43
| ~ spl17_50 ),
inference(forward_demodulation,[],[f210824,f1817]) ).
fof(f211863,definition,
( spl17_1071
<=> forallprefers(lazy_impl(true,lazy_impl(true,impl(sF13,impl(false1,sK2(false1,true))))),true) ),
introduced(definition,[new_symbols(definition,[spl17_1071])],[avatar_definition]) ).
fof(f211864,plain,
( forallprefers(lazy_impl(true,lazy_impl(true,impl(sF13,impl(false1,sK2(false1,true))))),true)
| ~ spl17_1071 ),
inference(avatar_component_clause,[],[f211863]) ).
fof(f211865,plain,
( ~ forallprefers(lazy_impl(true,lazy_impl(true,impl(sF13,impl(false1,sK2(false1,true))))),true)
| spl17_1071 ),
inference(avatar_component_clause,[],[f211863]) ).
fof(f213048,plain,
( ~ forallprefers(lazy_impl(true,lazy_impl(true,sF13)),true)
| ~ spl17_11
| ~ spl17_17
| ~ spl17_35
| spl17_43
| ~ spl17_50
| spl17_1071 ),
inference(forward_demodulation,[],[f211865,f211629]) ).
fof(f213060,plain,
( ~ forallprefers(lazy_impl(true,sF14),true)
| ~ spl17_11
| ~ spl17_17
| ~ spl17_35
| spl17_43
| ~ spl17_50
| spl17_1071 ),
inference(forward_demodulation,[],[f213048,f340]) ).
fof(f213069,plain,
( ~ forallprefers(lazy_impl(true,sF13),true)
| ~ spl17_11
| ~ spl17_17
| ~ spl17_35
| spl17_43
| ~ spl17_50
| spl17_1071 ),
inference(forward_demodulation,[],[f213060,f1817]) ).
fof(f213074,plain,
( ~ forallprefers(sF14,true)
| ~ spl17_11
| ~ spl17_17
| ~ spl17_35
| spl17_43
| ~ spl17_50
| spl17_1071 ),
inference(forward_demodulation,[],[f213069,f340]) ).
fof(f213078,plain,
( ~ forallprefers(sF13,true)
| ~ spl17_11
| ~ spl17_17
| ~ spl17_35
| spl17_43
| ~ spl17_50
| spl17_1071 ),
inference(forward_demodulation,[],[f213074,f1817]) ).
fof(f213626,plain,
( sF13 = impl(sK7,err)
| ~ spl17_1040 ),
inference(superposition,[],[f215,f210318]) ).
fof(f217861,plain,
( ! [X0] :
( d(lazy_impl(true,sF13))
| prop(X0) = false1 )
| ~ spl17_8
| ~ spl17_31
| ~ spl17_1031 ),
inference(superposition,[],[f204770,f14056]) ).
fof(f217943,plain,
( ! [X0] :
( d(sF14)
| prop(X0) = false1 )
| ~ spl17_8
| ~ spl17_11
| ~ spl17_31
| ~ spl17_1031 ),
inference(forward_demodulation,[],[f217861,f340]) ).
fof(f217965,plain,
( ! [X0] :
( d(sF13)
| prop(X0) = false1 )
| ~ spl17_8
| ~ spl17_11
| ~ spl17_31
| ~ spl17_50
| ~ spl17_1031 ),
inference(forward_demodulation,[],[f217943,f1817]) ).
fof(f220367,plain,
( sF10 = sF12
| false1 = prop(true)
| err = lazy_impl(true,sF10)
| ~ spl17_330 ),
inference(superposition,[],[f60867,f5877]) ).
fof(f220468,plain,
( sF10 = sF12
| err = lazy_impl(true,sF10)
| false1 = prop(true)
| ~ spl17_330 ),
inference(superposition,[],[f5877,f60867]) ).
fof(f220621,plain,
( err = lazy_impl(true,sF10)
| false1 = prop(true)
| spl17_327
| ~ spl17_330 ),
inference(forward_subsumption_resolution,[],[f220468,f60798]) ).
fof(f220697,plain,
( false1 = prop(true)
| err = lazy_impl(true,sF10)
| spl17_327
| ~ spl17_330 ),
inference(forward_subsumption_resolution,[],[f220367,f60798]) ).
fof(f220772,plain,
( err = not1(sF10)
| false1 = prop(true)
| spl17_19
| spl17_327
| ~ spl17_330 ),
inference(forward_demodulation,[],[f220621,f183548]) ).
fof(f220847,plain,
( true = false1
| err = lazy_impl(true,sF10)
| spl17_327
| ~ spl17_330 ),
inference(forward_demodulation,[],[f220697,f262]) ).
fof(f220981,plain,
( err = lazy_impl(true,sF10)
| spl17_327
| ~ spl17_330 ),
inference(forward_subsumption_resolution,[],[f220847,f165]) ).
fof(f224220,plain,
( ~ d(sF13)
| ~ d(true)
| bool(sF13)
| ~ bool(true)
| ~ spl17_11
| ~ spl17_17
| ~ spl17_35
| spl17_43
| ~ spl17_50
| spl17_1071 ),
inference(resolution,[],[f213078,f99]) ).
fof(f224226,plain,
( forallprefers(lazy_impl(true,lazy_impl(true,sF13)),true)
| ~ spl17_11
| ~ spl17_17
| ~ spl17_35
| spl17_43
| ~ spl17_50
| ~ spl17_1071 ),
inference(forward_demodulation,[],[f211864,f211629]) ).
fof(f224227,plain,
( forallprefers(lazy_impl(true,sF14),true)
| ~ spl17_11
| ~ spl17_17
| ~ spl17_35
| spl17_43
| ~ spl17_50
| ~ spl17_1071 ),
inference(forward_demodulation,[],[f224226,f340]) ).
fof(f224228,plain,
( forallprefers(lazy_impl(true,sF13),true)
| ~ spl17_11
| ~ spl17_17
| ~ spl17_35
| spl17_43
| ~ spl17_50
| ~ spl17_1071 ),
inference(forward_demodulation,[],[f224227,f1817]) ).
fof(f224229,plain,
( forallprefers(sF14,true)
| ~ spl17_11
| ~ spl17_17
| ~ spl17_35
| spl17_43
| ~ spl17_50
| ~ spl17_1071 ),
inference(forward_demodulation,[],[f224228,f340]) ).
fof(f224230,plain,
( forallprefers(sF13,true)
| ~ spl17_11
| ~ spl17_17
| ~ spl17_35
| spl17_43
| ~ spl17_50
| ~ spl17_1071 ),
inference(forward_demodulation,[],[f224229,f1817]) ).
fof(f224235,plain,
( ~ d(true)
| bool(sF13)
| ~ bool(true)
| ~ spl17_11
| ~ spl17_17
| ~ spl17_35
| spl17_43
| ~ spl17_50
| ~ spl17_273
| spl17_1071 ),
inference(forward_subsumption_resolution,[],[f224220,f52643]) ).
fof(f224256,plain,
( bool(sF13)
| ~ bool(true)
| ~ spl17_11
| ~ spl17_17
| ~ spl17_35
| spl17_43
| ~ spl17_50
| ~ spl17_273
| spl17_1071 ),
inference(forward_subsumption_resolution,[],[f224235,f97]) ).
fof(f224275,plain,
( ~ bool(true)
| ~ spl17_11
| ~ spl17_17
| ~ spl17_35
| spl17_43
| ~ spl17_50
| ~ spl17_273
| spl17_1071 ),
inference(forward_subsumption_resolution,[],[f224256,f205044]) ).
fof(f224291,plain,
( $false
| ~ spl17_11
| ~ spl17_17
| ~ spl17_35
| spl17_43
| ~ spl17_50
| ~ spl17_273
| spl17_1071 ),
inference(forward_subsumption_resolution,[],[f224275,f201]) ).
fof(f224292,plain,
( ~ spl17_11
| ~ spl17_17
| ~ spl17_35
| spl17_43
| ~ spl17_50
| ~ spl17_273
| spl17_1071 ),
inference(avatar_contradiction_clause,[],[f224291]) ).
fof(f224368,plain,
( ! [X0] : prop(X0) = false1
| ~ spl17_8
| ~ spl17_11
| ~ spl17_31
| ~ spl17_50
| spl17_273
| ~ spl17_1031 ),
inference(forward_subsumption_resolution,[],[f217965,f52644]) ).
fof(f224502,plain,
( spl17_447
| ~ spl17_8
| ~ spl17_11
| ~ spl17_31
| ~ spl17_50
| spl17_273
| ~ spl17_1031 ),
inference(avatar_split_clause,[],[f224368,f204769,f52642,f1815,f694,f338,f300,f88665]) ).
fof(f224539,plain,
( spl17_36
| spl17_219 ),
inference(avatar_split_clause,[],[f137366,f47542,f837]) ).
fof(f224690,plain,
( ! [X0] :
( ~ forallprefers(lazy_impl(prop(X0),lazy_impl(true,impl(sF13,impl(sK8,X0)))),true)
| true = prop(impl(sK7,impl(sK8,X0))) )
| ~ spl17_17
| spl17_43
| ~ spl17_47 ),
inference(forward_demodulation,[],[f195344,f1804]) ).
fof(f224692,plain,
( ! [X0] : d(lazy_impl(prop(X0),impl(impl(sF13,impl(sK8,X0)),X0)))
| ~ spl17_17
| spl17_43
| ~ spl17_47 ),
inference(forward_demodulation,[],[f195948,f1804]) ).
fof(f224832,plain,
( ! [X0] :
( ~ forallprefers(lazy_impl(prop(X0),lazy_impl(true,sF13)),true)
| true = prop(impl(sK7,impl(sK8,X0))) )
| ~ spl17_11
| ~ spl17_17
| ~ spl17_35
| spl17_43
| ~ spl17_47
| ~ spl17_50 ),
inference(forward_demodulation,[],[f224690,f211629]) ).
fof(f224834,plain,
( ! [X0] : d(lazy_impl(prop(X0),impl(sF13,X0)))
| ~ spl17_11
| ~ spl17_17
| ~ spl17_35
| spl17_43
| ~ spl17_47
| ~ spl17_50 ),
inference(forward_demodulation,[],[f224692,f211629]) ).
fof(f224965,plain,
( ! [X0] :
( ~ forallprefers(lazy_impl(prop(X0),sF14),true)
| true = prop(impl(sK7,impl(sK8,X0))) )
| ~ spl17_11
| ~ spl17_17
| ~ spl17_35
| spl17_43
| ~ spl17_47
| ~ spl17_50 ),
inference(forward_demodulation,[],[f224832,f340]) ).
fof(f224966,plain,
( ! [X0] : d(lazy_impl(prop(X0),sF13))
| ~ spl17_11
| ~ spl17_17
| ~ spl17_35
| spl17_43
| ~ spl17_47
| ~ spl17_50 ),
inference(forward_demodulation,[],[f224834,f211629]) ).
fof(f225083,plain,
( ! [X0] :
( ~ forallprefers(lazy_impl(prop(X0),sF13),true)
| true = prop(impl(sK7,impl(sK8,X0))) )
| ~ spl17_11
| ~ spl17_17
| ~ spl17_35
| spl17_43
| ~ spl17_47
| ~ spl17_50 ),
inference(forward_demodulation,[],[f224965,f1817]) ).
fof(f225084,plain,
( spl17_1031
| ~ spl17_11
| ~ spl17_17
| ~ spl17_35
| spl17_43
| ~ spl17_47
| ~ spl17_50 ),
inference(avatar_split_clause,[],[f224966,f1815,f1614,f1136,f739,f364,f338,f204769]) ).
fof(f225182,plain,
( ! [X0] :
( true = prop(impl(sF13,impl(sK8,X0)))
| ~ forallprefers(lazy_impl(prop(X0),sF13),true) )
| ~ spl17_11
| ~ spl17_17
| ~ spl17_35
| spl17_43
| ~ spl17_47
| ~ spl17_50 ),
inference(forward_demodulation,[],[f225083,f1804]) ).
fof(f225255,plain,
( ! [X0] :
( true = prop(sF13)
| ~ forallprefers(lazy_impl(prop(X0),sF13),true) )
| ~ spl17_11
| ~ spl17_17
| ~ spl17_35
| spl17_43
| ~ spl17_47
| ~ spl17_50 ),
inference(forward_demodulation,[],[f225182,f211629]) ).
fof(f225291,plain,
( ! [X0] :
( true = false1
| ~ forallprefers(lazy_impl(prop(X0),sF13),true) )
| ~ spl17_11
| ~ spl17_17
| ~ spl17_28
| ~ spl17_35
| spl17_43
| ~ spl17_47
| ~ spl17_50 ),
inference(forward_demodulation,[],[f225255,f681]) ).
fof(f225295,plain,
( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),sF13),true)
| ~ spl17_11
| ~ spl17_17
| ~ spl17_28
| ~ spl17_35
| spl17_43
| ~ spl17_47
| ~ spl17_50 ),
inference(forward_subsumption_resolution,[],[f225291,f165]) ).
fof(f225309,plain,
( err = lazy_impl(true,sK8)
| spl17_217
| ~ spl17_1040 ),
inference(forward_demodulation,[],[f56152,f210318]) ).
fof(f226680,plain,
( sF13 = lazy_impl(true,sF13)
| ~ spl17_273 ),
inference(resolution,[],[f52643,f171]) ).
fof(f226683,plain,
( ! [X0] : lazy_impl(true,sK8) = impl(sK8,X0)
| ~ spl17_36 ),
inference(resolution,[],[f137202,f175]) ).
fof(f226810,plain,
( ! [X0] : err = impl(sK8,X0)
| ~ spl17_36
| spl17_217
| ~ spl17_1040 ),
inference(forward_demodulation,[],[f226683,f225309]) ).
fof(f227132,plain,
( ! [X0] :
( sK8 != sK8
| lazy_impl(true,sK8) = lazy_impl(sK8,X0) )
| spl17_215 ),
inference(superposition,[],[f47484,f418]) ).
fof(f227152,plain,
( ! [X0] :
( sK8 != sK8
| err = lazy_impl(sK8,X0) )
| spl17_215 ),
inference(superposition,[],[f47484,f96600]) ).
fof(f227216,plain,
( ! [X0] : err = lazy_impl(sK8,X0)
| spl17_215 ),
inference(trivial_inequality_removal,[],[f227152]) ).
fof(f227234,plain,
( ! [X0] : lazy_impl(true,sK8) = lazy_impl(sK8,X0)
| spl17_215 ),
inference(trivial_inequality_removal,[],[f227132]) ).
fof(f228569,plain,
( ! [X0] :
( true != true
| lazy_impl(true,sK8) = impl(sK8,X0) )
| spl17_220 ),
inference(superposition,[],[f47571,f4589]) ).
fof(f228592,plain,
( ! [X0] : lazy_impl(true,sK8) = impl(sK8,X0)
| spl17_220 ),
inference(trivial_inequality_removal,[],[f228569]) ).
fof(f229887,plain,
( ! [X0] :
( ~ forallprefers(lazy_impl(true,sF13),true)
| false1 = X0
| true = X0 )
| ~ spl17_11
| ~ spl17_17
| ~ spl17_28
| ~ spl17_35
| spl17_43
| ~ spl17_47
| ~ spl17_50
| ~ spl17_120
| ~ spl17_122 ),
inference(superposition,[],[f225295,f39575]) ).
fof(f229954,plain,
( ! [X0] :
( ~ forallprefers(sF14,true)
| false1 = X0
| true = X0 )
| ~ spl17_11
| ~ spl17_17
| ~ spl17_28
| ~ spl17_35
| spl17_43
| ~ spl17_47
| ~ spl17_50
| ~ spl17_120
| ~ spl17_122 ),
inference(forward_demodulation,[],[f229887,f340]) ).
fof(f229977,plain,
( ! [X0] :
( ~ forallprefers(sF13,true)
| false1 = X0
| true = X0 )
| ~ spl17_11
| ~ spl17_17
| ~ spl17_28
| ~ spl17_35
| spl17_43
| ~ spl17_47
| ~ spl17_50
| ~ spl17_120
| ~ spl17_122 ),
inference(forward_demodulation,[],[f229954,f1817]) ).
fof(f230002,plain,
( ! [X0] :
( false1 = X0
| true = X0 )
| ~ spl17_11
| ~ spl17_17
| ~ spl17_28
| ~ spl17_35
| spl17_43
| ~ spl17_47
| ~ spl17_50
| ~ spl17_120
| ~ spl17_122
| ~ spl17_1071 ),
inference(forward_subsumption_resolution,[],[f229977,f224230]) ).
fof(f230017,plain,
( spl17_52
| ~ spl17_11
| ~ spl17_17
| ~ spl17_28
| ~ spl17_35
| spl17_43
| ~ spl17_47
| ~ spl17_50
| ~ spl17_120
| ~ spl17_122
| ~ spl17_1071 ),
inference(avatar_split_clause,[],[f230002,f211863,f20374,f20367,f1815,f1614,f1136,f739,f679,f364,f338,f3131]) ).
fof(f230421,plain,
( $false
| spl17_42
| ~ spl17_43
| ~ spl17_1040 ),
inference(forward_subsumption_resolution,[],[f52915,f210318]) ).
fof(f230422,plain,
( spl17_42
| ~ spl17_43
| ~ spl17_1040 ),
inference(avatar_contradiction_clause,[],[f230421]) ).
fof(f230546,plain,
( ! [X0] : sF13 = impl(sK7,X0)
| ~ spl17_17
| ~ spl17_35 ),
inference(forward_demodulation,[],[f198311,f366]) ).
fof(f230722,plain,
( err = impl(sK7,err)
| ~ spl17_43
| ~ spl17_1040 ),
inference(forward_demodulation,[],[f213626,f1138]) ).
fof(f230746,plain,
( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(impl(sK7,err),X0)),true)
| ~ spl17_36
| ~ spl17_47
| spl17_217
| ~ spl17_1040 ),
inference(forward_demodulation,[],[f195341,f226810]) ).
fof(f231228,plain,
( ! [X0] : err = impl(sK7,X0)
| ~ spl17_17
| ~ spl17_35
| ~ spl17_43 ),
inference(forward_demodulation,[],[f230546,f1138]) ).
fof(f231354,plain,
( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(err,X0)),true)
| ~ spl17_36
| ~ spl17_43
| ~ spl17_47
| spl17_217
| ~ spl17_1040 ),
inference(forward_demodulation,[],[f230746,f230722]) ).
fof(f231826,plain,
( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),err),true)
| ~ spl17_36
| ~ spl17_43
| ~ spl17_47
| ~ spl17_149
| spl17_217
| ~ spl17_1040 ),
inference(forward_demodulation,[],[f231354,f21483]) ).
fof(f232182,plain,
( spl17_146
| ~ spl17_36
| ~ spl17_43
| ~ spl17_47
| ~ spl17_149
| spl17_217
| ~ spl17_1040 ),
inference(avatar_split_clause,[],[f231826,f210316,f47494,f21482,f1614,f1136,f837,f21470]) ).
fof(f232813,plain,
( ! [X0] : sF12 = impl(sK8,X0)
| ~ spl17_14
| ~ spl17_36 ),
inference(forward_demodulation,[],[f226683,f353]) ).
fof(f232835,plain,
( err = lazy_impl(true,sK8)
| spl17_215 ),
inference(forward_demodulation,[],[f227234,f227216]) ).
fof(f232888,plain,
( ! [X0] : sF12 = impl(sK8,X0)
| ~ spl17_14
| spl17_220 ),
inference(forward_demodulation,[],[f228592,f353]) ).
fof(f232959,plain,
( ! [X0] :
( ~ forallprefers(lazy_impl(prop(X0),lazy_impl(true,err)),true)
| true = impl(sK7,impl(sK8,X0))
| false1 = impl(sK7,impl(sK8,X0)) )
| ~ spl17_17
| ~ spl17_35
| ~ spl17_43
| ~ spl17_47 ),
inference(forward_demodulation,[],[f195342,f231228]) ).
fof(f233188,plain,
( ! [X0] : sF12 = impl(sF12,X0)
| ~ spl17_14
| ~ spl17_36
| ~ spl17_39 ),
inference(forward_demodulation,[],[f232813,f952]) ).
fof(f233207,plain,
( err = sF12
| ~ spl17_14
| spl17_215 ),
inference(forward_demodulation,[],[f232835,f353]) ).
fof(f233326,plain,
( ! [X0] :
( ~ forallprefers(lazy_impl(prop(X0),err),true)
| true = impl(sK7,impl(sK8,X0))
| false1 = impl(sK7,impl(sK8,X0)) )
| ~ spl17_17
| ~ spl17_35
| ~ spl17_43
| ~ spl17_47 ),
inference(forward_demodulation,[],[f232959,f450]) ).
fof(f233489,plain,
( spl17_325
| ~ spl17_14
| ~ spl17_36
| ~ spl17_39 ),
inference(avatar_split_clause,[],[f233188,f950,f837,f351,f60421]) ).
fof(f233494,plain,
( $false
| ~ spl17_14
| spl17_215
| spl17_1040 ),
inference(forward_subsumption_resolution,[],[f233207,f210317]) ).
fof(f233495,plain,
( ~ spl17_14
| spl17_215
| spl17_1040 ),
inference(avatar_contradiction_clause,[],[f233494]) ).
fof(f233592,plain,
( ! [X0] :
( true = err
| ~ forallprefers(lazy_impl(prop(X0),err),true)
| false1 = impl(sK7,impl(sK8,X0)) )
| ~ spl17_17
| ~ spl17_35
| ~ spl17_43
| ~ spl17_47 ),
inference(forward_demodulation,[],[f233326,f231228]) ).
fof(f233837,plain,
( ! [X0] :
( ~ forallprefers(lazy_impl(prop(X0),err),true)
| false1 = impl(sK7,impl(sK8,X0)) )
| ~ spl17_17
| ~ spl17_35
| ~ spl17_43
| ~ spl17_47 ),
inference(forward_subsumption_resolution,[],[f233592,f93]) ).
fof(f233932,plain,
( ! [X0] :
( err = false1
| ~ forallprefers(lazy_impl(prop(X0),err),true) )
| ~ spl17_17
| ~ spl17_35
| ~ spl17_43
| ~ spl17_47 ),
inference(forward_demodulation,[],[f233837,f231228]) ).
fof(f233975,plain,
( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),err),true)
| ~ spl17_17
| ~ spl17_35
| ~ spl17_43
| ~ spl17_47 ),
inference(forward_subsumption_resolution,[],[f233932,f166]) ).
fof(f233992,plain,
( spl17_146
| ~ spl17_17
| ~ spl17_35
| ~ spl17_43
| ~ spl17_47 ),
inference(avatar_split_clause,[],[f233975,f1614,f1136,f739,f364,f21470]) ).
fof(f234024,plain,
( sF10 = sF13
| ~ spl17_10
| ~ spl17_50
| ~ spl17_319 ),
inference(forward_demodulation,[],[f191968,f1817]) ).
fof(f234028,plain,
( spl17_18
| ~ spl17_13
| ~ spl17_24 ),
inference(avatar_split_clause,[],[f58368,f655,f347,f601]) ).
fof(f235139,plain,
( true = sF10
| ~ spl17_10
| ~ spl17_50
| ~ spl17_319 ),
inference(forward_demodulation,[],[f234024,f336]) ).
fof(f236151,plain,
( $false
| ~ spl17_10
| spl17_25
| ~ spl17_50
| ~ spl17_319 ),
inference(forward_subsumption_resolution,[],[f235139,f660]) ).
fof(f236152,plain,
( ~ spl17_10
| spl17_25
| ~ spl17_50
| ~ spl17_319 ),
inference(avatar_contradiction_clause,[],[f236151]) ).
fof(f238372,plain,
( ~ spl17_278
| ~ spl17_12
| ~ spl17_16
| ~ spl17_21 ),
inference(avatar_split_clause,[],[f1287,f618,f360,f343,f52759]) ).
fof(f238381,definition,
( spl17_1100
<=> d(sF12) ),
introduced(definition,[new_symbols(definition,[spl17_1100])],[avatar_definition]) ).
fof(f238383,plain,
( d(sF12)
| ~ spl17_1100 ),
inference(avatar_component_clause,[],[f238381]) ).
fof(f238391,plain,
( spl17_285
| ~ spl17_19
| ~ spl17_24
| ~ spl17_42 ),
inference(avatar_split_clause,[],[f146041,f1127,f655,f605,f55873]) ).
fof(f238456,plain,
( ! [X0] : err = lazy_impl(false1,X0)
| ~ spl17_24
| ~ spl17_326 ),
inference(forward_demodulation,[],[f60795,f657]) ).
fof(f238602,plain,
( spl17_278
| ~ spl17_1
| ~ spl17_285 ),
inference(avatar_split_clause,[],[f151366,f55873,f236,f52759]) ).
fof(f238909,plain,
( true = err
| ~ spl17_24
| ~ spl17_326 ),
inference(forward_demodulation,[],[f238456,f179]) ).
fof(f239301,plain,
( $false
| ~ spl17_24
| ~ spl17_326 ),
inference(forward_subsumption_resolution,[],[f238909,f93]) ).
fof(f239302,plain,
( ~ spl17_24
| ~ spl17_326 ),
inference(avatar_contradiction_clause,[],[f239301]) ).
fof(f240249,plain,
( spl17_284
| ~ spl17_10
| ~ spl17_11 ),
inference(avatar_split_clause,[],[f1774,f338,f334,f55869]) ).
fof(f240274,plain,
( sF13 = sF15
| ~ spl17_1
| ~ spl17_11
| ~ spl17_21
| spl17_22
| spl17_40 ),
inference(forward_demodulation,[],[f2072,f620]) ).
fof(f240430,plain,
( ! [X0] : ~ forallprefers(lazy_impl(true,impl(impl(true,true),lazy_impl(prop(X0),impl(true,X0)))),true)
| ~ spl17_12
| ~ spl17_16
| ~ spl17_47
| ~ spl17_120
| ~ spl17_122 ),
inference(forward_demodulation,[],[f205382,f362]) ).
fof(f240955,plain,
( ! [X0] : ~ forallprefers(lazy_impl(true,impl(true,lazy_impl(prop(X0),impl(true,X0)))),true)
| ~ spl17_12
| ~ spl17_16
| ~ spl17_47
| ~ spl17_120
| ~ spl17_122 ),
inference(forward_demodulation,[],[f240430,f264]) ).
fof(f241365,plain,
( ! [X0] : ~ forallprefers(lazy_impl(true,lazy_impl(prop(X0),impl(true,X0))),true)
| ~ spl17_12
| ~ spl17_16
| ~ spl17_47
| ~ spl17_120
| ~ spl17_122 ),
inference(forward_demodulation,[],[f240955,f38848]) ).
fof(f241643,plain,
( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(true,X0)),true)
| ~ spl17_12
| ~ spl17_16
| ~ spl17_47
| ~ spl17_120
| ~ spl17_122 ),
inference(forward_demodulation,[],[f241365,f38520]) ).
fof(f241771,plain,
( spl17_125
| ~ spl17_12
| ~ spl17_16
| ~ spl17_47
| ~ spl17_120
| ~ spl17_122 ),
inference(avatar_split_clause,[],[f241643,f20374,f20367,f1614,f360,f343,f20389]) ).
fof(f241903,plain,
( spl17_284
| ~ spl17_9
| ~ spl17_24 ),
inference(avatar_split_clause,[],[f793,f655,f330,f55869]) ).
fof(f241904,plain,
( spl17_18
| ~ spl17_9
| ~ spl17_42 ),
inference(avatar_split_clause,[],[f55157,f1127,f330,f601]) ).
fof(f245520,plain,
( ~ spl17_47
| ~ spl17_13
| ~ spl17_16
| ~ spl17_21 ),
inference(avatar_split_clause,[],[f1144,f618,f360,f347,f1614]) ).
fof(f245796,plain,
( sF15 = lazy_impl(sF11,true)
| ~ spl17_284 ),
inference(superposition,[],[f219,f55871]) ).
fof(f245797,plain,
( sF15 = lazy_impl(true,true)
| ~ spl17_1
| ~ spl17_284 ),
inference(forward_demodulation,[],[f245796,f238]) ).
fof(f245798,plain,
( true = sF15
| ~ spl17_1
| ~ spl17_284 ),
inference(forward_demodulation,[],[f245797,f388]) ).
fof(f245799,plain,
( $false
| ~ spl17_1
| spl17_47
| ~ spl17_284 ),
inference(forward_subsumption_resolution,[],[f245798,f1615]) ).
fof(f245800,plain,
( ~ spl17_1
| spl17_47
| ~ spl17_284 ),
inference(avatar_contradiction_clause,[],[f245799]) ).
fof(f247399,plain,
( $false
| spl17_28
| ~ spl17_41
| ~ spl17_42 ),
inference(forward_subsumption_resolution,[],[f141963,f1125]) ).
fof(f247400,plain,
( spl17_28
| ~ spl17_41
| ~ spl17_42 ),
inference(avatar_contradiction_clause,[],[f247399]) ).
fof(f247425,plain,
( sF13 = lazy_impl(true,sF12)
| lazy_impl(true,sK7) = not1(sK7)
| false1 = sF12
| spl17_19 ),
inference(forward_subsumption_resolution,[],[f9200,f606]) ).
fof(f248937,plain,
( sF13 = lazy_impl(true,sF12)
| lazy_impl(true,sK7) = not1(sK7)
| spl17_18
| spl17_19 ),
inference(forward_subsumption_resolution,[],[f247425,f602]) ).
fof(f251659,plain,
( spl17_50
| ~ spl17_11
| ~ spl17_32
| ~ spl17_42 ),
inference(avatar_split_clause,[],[f151513,f1127,f704,f338,f1815]) ).
fof(f251662,plain,
( spl17_50
| ~ spl17_11
| ~ spl17_273 ),
inference(avatar_split_clause,[],[f197951,f52642,f338,f1815]) ).
fof(f251668,plain,
( sF12 = sF13
| ~ spl17_42
| ~ spl17_50 ),
inference(forward_demodulation,[],[f55928,f1817]) ).
fof(f251737,plain,
( ~ spl17_10
| spl17_16
| ~ spl17_17
| spl17_43 ),
inference(avatar_split_clause,[],[f1853,f1136,f364,f360,f334]) ).
fof(f251738,plain,
( ~ spl17_10
| spl17_15
| spl17_16
| ~ spl17_17
| ~ spl17_21
| ~ spl17_47 ),
inference(avatar_split_clause,[],[f195247,f1614,f618,f364,f360,f356,f334]) ).
fof(f258145,plain,
( ! [X0] : lazy_impl(true,sF13) = impl(sF13,X0)
| ~ spl17_28 ),
inference(resolution,[],[f197828,f175]) ).
fof(f260815,plain,
( false1 != false1
| false1 = sK7
| true = sK7
| spl17_35 ),
inference(superposition,[],[f740,f281]) ).
fof(f260818,plain,
( false1 = sK7
| true = sK7
| spl17_35 ),
inference(trivial_inequality_removal,[],[f260815]) ).
fof(f260821,plain,
( true = sK7
| spl17_15
| spl17_35 ),
inference(forward_subsumption_resolution,[],[f260818,f357]) ).
fof(f260822,plain,
( $false
| spl17_15
| spl17_16
| spl17_35 ),
inference(forward_subsumption_resolution,[],[f260821,f361]) ).
fof(f260823,plain,
( spl17_15
| spl17_16
| spl17_35 ),
inference(avatar_contradiction_clause,[],[f260822]) ).
fof(f260991,plain,
( false1 = prop(true)
| ~ spl17_16
| ~ spl17_35 ),
inference(forward_demodulation,[],[f741,f362]) ).
fof(f261332,plain,
( ! [X0] :
( ~ forallprefers(lazy_impl(prop(X0),lazy_impl(true,impl(sK7,impl(sK8,X0)))),true)
| true = prop(impl(sK7,impl(sK8,X0))) )
| ~ spl17_47 ),
inference(forward_demodulation,[],[f143258,f1616]) ).
fof(f261523,plain,
( true = false1
| ~ spl17_16
| ~ spl17_35 ),
inference(forward_demodulation,[],[f260991,f262]) ).
fof(f261812,plain,
( ! [X0] :
( ~ forallprefers(lazy_impl(prop(X0),lazy_impl(true,impl(sK7,impl(err,X0)))),true)
| true = prop(impl(sK7,impl(sK8,X0))) )
| spl17_12
| spl17_13
| ~ spl17_14
| ~ spl17_42
| ~ spl17_43
| ~ spl17_47
| ~ spl17_217 ),
inference(forward_demodulation,[],[f261332,f54637]) ).
fof(f261923,plain,
( $false
| ~ spl17_16
| ~ spl17_35 ),
inference(forward_subsumption_resolution,[],[f261523,f165]) ).
fof(f261924,plain,
( ~ spl17_16
| ~ spl17_35 ),
inference(avatar_contradiction_clause,[],[f261923]) ).
fof(f262158,plain,
( ! [X0] :
( ~ forallprefers(lazy_impl(prop(X0),lazy_impl(true,impl(sK7,err))),true)
| true = prop(impl(sK7,impl(sK8,X0))) )
| spl17_12
| spl17_13
| ~ spl17_14
| ~ spl17_42
| ~ spl17_43
| ~ spl17_47
| ~ spl17_149
| ~ spl17_217 ),
inference(forward_demodulation,[],[f261812,f21483]) ).
fof(f262809,plain,
( err = not1(sF10)
| spl17_327
| ~ spl17_330 ),
inference(forward_demodulation,[],[f220981,f183552]) ).
fof(f262811,plain,
( true = false1
| err = not1(sF10)
| spl17_19
| spl17_327
| ~ spl17_330 ),
inference(forward_demodulation,[],[f220772,f262]) ).
fof(f263005,plain,
( err = sF12
| ~ spl17_42
| ~ spl17_43
| ~ spl17_50 ),
inference(forward_demodulation,[],[f251668,f1138]) ).
fof(f263388,plain,
( true = false1
| ~ spl17_8
| ~ spl17_31
| ~ spl17_447 ),
inference(forward_demodulation,[],[f3668,f88666]) ).
fof(f263514,plain,
( ! [X0] :
( ~ forallprefers(lazy_impl(prop(X0),lazy_impl(true,impl(true,err))),true)
| true = prop(impl(sK7,impl(sK8,X0))) )
| spl17_12
| spl17_13
| ~ spl17_14
| ~ spl17_16
| ~ spl17_42
| ~ spl17_43
| ~ spl17_47
| ~ spl17_149
| ~ spl17_217 ),
inference(forward_demodulation,[],[f262158,f362]) ).
fof(f263742,plain,
( $false
| spl17_327
| ~ spl17_330
| spl17_561 ),
inference(forward_subsumption_resolution,[],[f262809,f135183]) ).
fof(f263743,plain,
( spl17_327
| ~ spl17_330
| spl17_561 ),
inference(avatar_contradiction_clause,[],[f263742]) ).
fof(f263744,plain,
( err = not1(sF10)
| spl17_19
| spl17_327
| ~ spl17_330 ),
inference(forward_subsumption_resolution,[],[f262811,f165]) ).
fof(f263892,plain,
( spl17_1040
| ~ spl17_42
| ~ spl17_43
| ~ spl17_50 ),
inference(avatar_split_clause,[],[f263005,f1815,f1136,f1127,f210316]) ).
fof(f264165,plain,
( $false
| ~ spl17_8
| ~ spl17_31
| ~ spl17_447 ),
inference(forward_subsumption_resolution,[],[f263388,f165]) ).
fof(f264166,plain,
( ~ spl17_8
| ~ spl17_31
| ~ spl17_447 ),
inference(avatar_contradiction_clause,[],[f264165]) ).
fof(f264252,plain,
( ! [X0] :
( ~ forallprefers(lazy_impl(prop(X0),lazy_impl(true,err)),true)
| true = prop(impl(sK7,impl(sK8,X0))) )
| spl17_12
| spl17_13
| ~ spl17_14
| ~ spl17_16
| ~ spl17_42
| ~ spl17_43
| ~ spl17_47
| ~ spl17_149
| ~ spl17_217 ),
inference(forward_demodulation,[],[f263514,f5873]) ).
fof(f264435,plain,
( $false
| spl17_19
| spl17_327
| ~ spl17_330
| spl17_561 ),
inference(forward_subsumption_resolution,[],[f263744,f135183]) ).
fof(f264436,plain,
( spl17_19
| spl17_327
| ~ spl17_330
| spl17_561 ),
inference(avatar_contradiction_clause,[],[f264435]) ).
fof(f264770,plain,
( ! [X0] :
( ~ forallprefers(lazy_impl(prop(X0),err),true)
| true = prop(impl(sK7,impl(sK8,X0))) )
| spl17_12
| spl17_13
| ~ spl17_14
| ~ spl17_16
| ~ spl17_42
| ~ spl17_43
| ~ spl17_47
| ~ spl17_149
| ~ spl17_217 ),
inference(forward_demodulation,[],[f264252,f450]) ).
fof(f266037,plain,
( ! [X0] :
( true = prop(impl(sK7,impl(err,X0)))
| ~ forallprefers(lazy_impl(prop(X0),err),true) )
| spl17_12
| spl17_13
| ~ spl17_14
| ~ spl17_16
| ~ spl17_42
| ~ spl17_43
| ~ spl17_47
| ~ spl17_149
| ~ spl17_217 ),
inference(forward_demodulation,[],[f264770,f54637]) ).
fof(f266383,plain,
( ! [X0] :
( true = prop(impl(sK7,err))
| ~ forallprefers(lazy_impl(prop(X0),err),true) )
| spl17_12
| spl17_13
| ~ spl17_14
| ~ spl17_16
| ~ spl17_42
| ~ spl17_43
| ~ spl17_47
| ~ spl17_149
| ~ spl17_217 ),
inference(forward_demodulation,[],[f266037,f21483]) ).
fof(f266571,plain,
( ! [X0] :
( true = prop(impl(true,err))
| ~ forallprefers(lazy_impl(prop(X0),err),true) )
| spl17_12
| spl17_13
| ~ spl17_14
| ~ spl17_16
| ~ spl17_42
| ~ spl17_43
| ~ spl17_47
| ~ spl17_149
| ~ spl17_217 ),
inference(forward_demodulation,[],[f266383,f362]) ).
fof(f266714,plain,
( ! [X0] :
( true = prop(err)
| ~ forallprefers(lazy_impl(prop(X0),err),true) )
| spl17_12
| spl17_13
| ~ spl17_14
| ~ spl17_16
| ~ spl17_42
| ~ spl17_43
| ~ spl17_47
| ~ spl17_149
| ~ spl17_217 ),
inference(forward_demodulation,[],[f266571,f5873]) ).
fof(f266786,plain,
( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),err),true)
| spl17_12
| spl17_13
| ~ spl17_14
| ~ spl17_16
| ~ spl17_42
| ~ spl17_43
| ~ spl17_47
| spl17_48
| ~ spl17_149
| ~ spl17_217 ),
inference(forward_subsumption_resolution,[],[f266714,f1740]) ).
fof(f266817,plain,
( spl17_146
| spl17_12
| spl17_13
| ~ spl17_14
| ~ spl17_16
| ~ spl17_42
| ~ spl17_43
| ~ spl17_47
| spl17_48
| ~ spl17_149
| ~ spl17_217 ),
inference(avatar_split_clause,[],[f266786,f47494,f21482,f1739,f1614,f1136,f1127,f360,f351,f347,f343,f21470]) ).
fof(f268029,plain,
( sF13 = lazy_impl(true,err)
| lazy_impl(true,sK7) = not1(sK7)
| spl17_18
| spl17_19
| ~ spl17_1040 ),
inference(forward_demodulation,[],[f248937,f210318]) ).
fof(f269318,plain,
( err = sF13
| lazy_impl(true,sK7) = not1(sK7)
| spl17_18
| spl17_19
| ~ spl17_1040 ),
inference(forward_demodulation,[],[f268029,f450]) ).
fof(f271593,plain,
( sF12 != sF13
| ~ spl17_1
| ~ spl17_11
| spl17_12
| spl17_13
| ~ spl17_14
| ~ spl17_16
| ~ spl17_21
| spl17_22
| spl17_40 ),
inference(forward_demodulation,[],[f1031,f240274]) ).
fof(f271746,plain,
( ! [X0] : sF13 = impl(sF13,X0)
| ~ spl17_28
| ~ spl17_273 ),
inference(forward_demodulation,[],[f258145,f226680]) ).
fof(f272294,plain,
( lazy_impl(true,sK7) = not1(sK7)
| spl17_18
| spl17_19
| spl17_43
| ~ spl17_1040 ),
inference(forward_subsumption_resolution,[],[f269318,f1137]) ).
fof(f273075,plain,
( not1(true) = lazy_impl(true,true)
| ~ spl17_16
| spl17_18
| spl17_19
| spl17_43
| ~ spl17_1040 ),
inference(forward_demodulation,[],[f272294,f362]) ).
fof(f273559,plain,
( true = not1(true)
| ~ spl17_16
| spl17_18
| spl17_19
| spl17_43
| ~ spl17_1040 ),
inference(forward_demodulation,[],[f273075,f388]) ).
fof(f273883,plain,
( true = false1
| ~ spl17_16
| spl17_18
| spl17_19
| spl17_43
| ~ spl17_1040 ),
inference(forward_demodulation,[],[f273559,f198]) ).
fof(f274148,plain,
( $false
| ~ spl17_16
| spl17_18
| spl17_19
| spl17_43
| ~ spl17_1040 ),
inference(forward_subsumption_resolution,[],[f273883,f165]) ).
fof(f274149,plain,
( ~ spl17_16
| spl17_18
| spl17_19
| spl17_43
| ~ spl17_1040 ),
inference(avatar_contradiction_clause,[],[f274148]) ).
fof(f274543,plain,
( ~ forallprefers(lazy_impl(true,impl(sF14,false1)),lazy_impl(prop(sK0(true,sF12)),impl(impl(true,sF12),sK0(true,sF12))))
| spl17_296
| ~ spl17_325 ),
inference(forward_demodulation,[],[f57044,f60422]) ).
fof(f274591,plain,
( $false
| spl17_12
| spl17_13
| ~ spl17_14
| ~ spl17_16
| spl17_255 ),
inference(forward_subsumption_resolution,[],[f932,f50979]) ).
fof(f274592,plain,
( spl17_12
| spl17_13
| ~ spl17_14
| ~ spl17_16
| spl17_255 ),
inference(avatar_contradiction_clause,[],[f274591]) ).
fof(f274752,plain,
( spl17_42
| ~ spl17_14
| ~ spl17_32
| ~ spl17_39 ),
inference(avatar_split_clause,[],[f990,f950,f704,f351,f1127]) ).
fof(f274756,plain,
( spl17_42
| ~ spl17_32
| ~ spl17_39
| spl17_219 ),
inference(avatar_split_clause,[],[f135418,f47542,f950,f704,f1127]) ).
fof(f274819,plain,
( $false
| ~ spl17_1
| ~ spl17_11
| spl17_12
| spl17_13
| ~ spl17_14
| ~ spl17_16
| ~ spl17_21
| spl17_22
| spl17_40
| ~ spl17_42 ),
inference(forward_subsumption_resolution,[],[f271593,f1129]) ).
fof(f274820,plain,
( ~ spl17_1
| ~ spl17_11
| spl17_12
| spl17_13
| ~ spl17_14
| ~ spl17_16
| ~ spl17_21
| spl17_22
| spl17_40
| ~ spl17_42 ),
inference(avatar_contradiction_clause,[],[f274819]) ).
fof(f275008,plain,
( ~ forallprefers(lazy_impl(true,impl(sF14,false1)),lazy_impl(prop(sK0(true,sF12)),impl(sF12,sK0(true,sF12))))
| ~ spl17_11
| ~ spl17_42
| ~ spl17_50
| spl17_296
| ~ spl17_325 ),
inference(forward_demodulation,[],[f274543,f51111]) ).
fof(f275340,plain,
( ~ forallprefers(lazy_impl(true,impl(sF14,false1)),lazy_impl(prop(sK0(true,sF12)),sF12))
| ~ spl17_11
| ~ spl17_42
| ~ spl17_50
| spl17_296
| ~ spl17_325 ),
inference(forward_demodulation,[],[f275008,f60422]) ).
fof(f275582,plain,
( ~ forallprefers(lazy_impl(true,impl(sF13,false1)),lazy_impl(prop(sK0(true,sF12)),sF12))
| ~ spl17_11
| ~ spl17_42
| ~ spl17_50
| spl17_296
| ~ spl17_325 ),
inference(forward_demodulation,[],[f275340,f1817]) ).
fof(f276708,plain,
( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(impl(sK7,impl(sK8,X0)),X0)),true)
| ~ spl17_47 ),
inference(forward_demodulation,[],[f143253,f1616]) ).
fof(f277270,plain,
( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(impl(sK7,sF12),X0)),true)
| ~ spl17_14
| ~ spl17_47
| spl17_220 ),
inference(forward_demodulation,[],[f276708,f232888]) ).
fof(f277594,plain,
( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(sF13,X0)),true)
| ~ spl17_14
| ~ spl17_47
| spl17_220 ),
inference(forward_demodulation,[],[f277270,f215]) ).
fof(f277787,plain,
( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),sF13),true)
| ~ spl17_14
| ~ spl17_28
| ~ spl17_47
| spl17_220
| ~ spl17_273 ),
inference(forward_demodulation,[],[f277594,f271746]) ).
fof(f277892,plain,
( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),sF12),true)
| ~ spl17_14
| ~ spl17_28
| ~ spl17_42
| ~ spl17_47
| spl17_220
| ~ spl17_273 ),
inference(forward_demodulation,[],[f277787,f1129]) ).
fof(f278002,plain,
( sF10 = sK0(true,sK8)
| ~ spl17_16 ),
inference(superposition,[],[f209,f362]) ).
fof(f278006,plain,
( sF10 = sK0(true,sF12)
| ~ spl17_16
| ~ spl17_39 ),
inference(forward_demodulation,[],[f278002,f952]) ).
fof(f285844,plain,
( ! [X0] :
( ~ d(lazy_impl(prop(sF10),impl(impl(true,impl(sF12,sF10)),sF10)))
| d(lazy_impl(prop(X0),impl(impl(true,impl(sF12,X0)),X0))) )
| ~ spl17_16
| ~ spl17_39 ),
inference(superposition,[],[f3005,f278006]) ).
fof(f285852,plain,
( ! [X0] :
( ~ d(lazy_impl(prop(sF10),impl(impl(true,sF12),sF10)))
| d(lazy_impl(prop(X0),impl(impl(true,impl(sF12,X0)),X0))) )
| ~ spl17_16
| ~ spl17_39
| ~ spl17_325 ),
inference(forward_demodulation,[],[f285844,f60422]) ).
fof(f285860,plain,
( ! [X0] :
( ~ d(lazy_impl(prop(sF10),impl(sF12,sF10)))
| d(lazy_impl(prop(X0),impl(impl(true,impl(sF12,X0)),X0))) )
| ~ spl17_11
| ~ spl17_16
| ~ spl17_39
| ~ spl17_42
| ~ spl17_50
| ~ spl17_325 ),
inference(forward_demodulation,[],[f285852,f51111]) ).
fof(f285868,plain,
( ! [X0] :
( ~ d(lazy_impl(prop(sF10),sF12))
| d(lazy_impl(prop(X0),impl(impl(true,impl(sF12,X0)),X0))) )
| ~ spl17_11
| ~ spl17_16
| ~ spl17_39
| ~ spl17_42
| ~ spl17_50
| ~ spl17_325 ),
inference(forward_demodulation,[],[f285860,f60422]) ).
fof(f288634,plain,
( ~ d(err)
| ~ d(false1)
| bool(err)
| ~ bool(false1)
| spl17_77 ),
inference(resolution,[],[f14080,f99]) ).
fof(f288635,plain,
( ~ d(false1)
| bool(err)
| ~ bool(false1)
| spl17_77 ),
inference(forward_subsumption_resolution,[],[f288634,f95]) ).
fof(f288636,plain,
( bool(err)
| ~ bool(false1)
| spl17_77 ),
inference(forward_subsumption_resolution,[],[f288635,f167]) ).
fof(f288637,plain,
( ~ bool(false1)
| spl17_76
| spl17_77 ),
inference(forward_subsumption_resolution,[],[f288636,f14074]) ).
fof(f288638,plain,
( $false
| spl17_76
| spl17_77 ),
inference(forward_subsumption_resolution,[],[f288637,f200]) ).
fof(f288639,plain,
( spl17_76
| spl17_77 ),
inference(avatar_contradiction_clause,[],[f288638]) ).
fof(f311574,plain,
( ! [X0] :
( ~ d(lazy_impl(prop(X0),sF12))
| ~ d(true)
| bool(lazy_impl(prop(X0),sF12))
| ~ bool(true) )
| ~ spl17_14
| ~ spl17_28
| ~ spl17_42
| ~ spl17_47
| spl17_220
| ~ spl17_273 ),
inference(resolution,[],[f277892,f99]) ).
fof(f311585,plain,
( ! [X0] :
( ~ forallprefers(lazy_impl(true,sF12),true)
| true = prop(X0) )
| ~ spl17_14
| ~ spl17_28
| ~ spl17_42
| ~ spl17_47
| ~ spl17_189
| spl17_220
| ~ spl17_273 ),
inference(superposition,[],[f277892,f107516]) ).
fof(f311669,plain,
( ! [X0] :
( ~ d(lazy_impl(prop(X0),sF12))
| bool(lazy_impl(prop(X0),sF12))
| ~ bool(true) )
| ~ spl17_14
| ~ spl17_28
| ~ spl17_42
| ~ spl17_47
| spl17_220
| ~ spl17_273 ),
inference(forward_subsumption_resolution,[],[f311574,f97]) ).
fof(f311699,plain,
( ! [X0] :
( ~ d(lazy_impl(prop(X0),sF12))
| bool(lazy_impl(prop(X0),sF12)) )
| ~ spl17_14
| ~ spl17_28
| ~ spl17_42
| ~ spl17_47
| spl17_220
| ~ spl17_273 ),
inference(forward_subsumption_resolution,[],[f311669,f201]) ).
fof(f311704,plain,
( ! [X0] : bool(lazy_impl(prop(X0),sF12))
| ~ spl17_14
| ~ spl17_28
| ~ spl17_42
| ~ spl17_47
| spl17_220
| ~ spl17_273
| ~ spl17_525 ),
inference(forward_subsumption_resolution,[],[f311699,f119765]) ).
fof(f311705,plain,
( ~ d(sF12)
| ~ spl17_42
| spl17_273 ),
inference(forward_demodulation,[],[f52644,f1129]) ).
fof(f311727,plain,
( ! [X0] :
( d(sF12)
| true = prop(X0) )
| ~ spl17_32
| ~ spl17_42
| ~ spl17_189
| ~ spl17_525 ),
inference(forward_demodulation,[],[f127173,f1129]) ).
fof(f311989,plain,
( ~ forallprefers(lazy_impl(true,impl(sF13,false1)),lazy_impl(prop(sF10),sF12))
| ~ spl17_11
| ~ spl17_16
| ~ spl17_39
| ~ spl17_42
| ~ spl17_50
| spl17_296
| ~ spl17_325 ),
inference(forward_demodulation,[],[f275582,f278006]) ).
fof(f312247,plain,
( $false
| ~ spl17_42
| spl17_273
| ~ spl17_1100 ),
inference(forward_subsumption_resolution,[],[f311705,f238383]) ).
fof(f312248,plain,
( ~ spl17_42
| spl17_273
| ~ spl17_1100 ),
inference(avatar_contradiction_clause,[],[f312247]) ).
fof(f312390,plain,
( ~ forallprefers(lazy_impl(true,impl(sF13,false1)),lazy_impl(sF11,sF12))
| ~ spl17_11
| ~ spl17_16
| ~ spl17_39
| ~ spl17_42
| ~ spl17_50
| spl17_296
| ~ spl17_325 ),
inference(forward_demodulation,[],[f311989,f211]) ).
fof(f312566,plain,
( ~ forallprefers(lazy_impl(true,impl(sF13,false1)),lazy_impl(false1,sF12))
| ~ spl17_2
| ~ spl17_11
| ~ spl17_16
| ~ spl17_39
| ~ spl17_42
| ~ spl17_50
| spl17_296
| ~ spl17_325 ),
inference(forward_demodulation,[],[f312390,f242]) ).
fof(f312711,plain,
( ~ forallprefers(lazy_impl(true,impl(sF13,false1)),true)
| ~ spl17_2
| ~ spl17_11
| ~ spl17_16
| ~ spl17_39
| ~ spl17_42
| ~ spl17_50
| spl17_296
| ~ spl17_325 ),
inference(forward_demodulation,[],[f312566,f179]) ).
fof(f312782,plain,
( ~ forallprefers(lazy_impl(true,impl(sF12,false1)),true)
| ~ spl17_2
| ~ spl17_11
| ~ spl17_16
| ~ spl17_39
| ~ spl17_42
| ~ spl17_50
| spl17_296
| ~ spl17_325 ),
inference(forward_demodulation,[],[f312711,f1129]) ).
fof(f312825,plain,
( $false
| ~ spl17_2
| ~ spl17_11
| ~ spl17_16
| ~ spl17_39
| ~ spl17_42
| ~ spl17_50
| spl17_296
| ~ spl17_303
| ~ spl17_325 ),
inference(forward_subsumption_resolution,[],[f312782,f57519]) ).
fof(f312826,plain,
( ~ spl17_2
| ~ spl17_11
| ~ spl17_16
| ~ spl17_39
| ~ spl17_42
| ~ spl17_50
| spl17_296
| ~ spl17_303
| ~ spl17_325 ),
inference(avatar_contradiction_clause,[],[f312825]) ).
fof(f312880,plain,
( forallprefers(lazy_impl(true,impl(sF14,false1)),lazy_impl(prop(sF10),impl(impl(true,impl(sF12,sF10)),sF10)))
| ~ spl17_16
| ~ spl17_39
| ~ spl17_296 ),
inference(forward_demodulation,[],[f57043,f278006]) ).
fof(f313042,plain,
( forallprefers(lazy_impl(true,impl(sF14,false1)),lazy_impl(prop(sF10),impl(impl(true,sF12),sF10)))
| ~ spl17_16
| ~ spl17_39
| ~ spl17_296
| ~ spl17_325 ),
inference(forward_demodulation,[],[f312880,f60422]) ).
fof(f313056,plain,
( forallprefers(lazy_impl(true,impl(sF14,false1)),lazy_impl(prop(sF10),impl(sF12,sF10)))
| ~ spl17_11
| ~ spl17_16
| ~ spl17_39
| ~ spl17_42
| ~ spl17_50
| ~ spl17_296
| ~ spl17_325 ),
inference(forward_demodulation,[],[f313042,f51111]) ).
fof(f313059,plain,
( forallprefers(lazy_impl(true,impl(sF14,false1)),lazy_impl(prop(sF10),sF12))
| ~ spl17_11
| ~ spl17_16
| ~ spl17_39
| ~ spl17_42
| ~ spl17_50
| ~ spl17_296
| ~ spl17_325 ),
inference(forward_demodulation,[],[f313056,f60422]) ).
fof(f313060,plain,
( forallprefers(lazy_impl(true,impl(sF14,false1)),lazy_impl(sF11,sF12))
| ~ spl17_11
| ~ spl17_16
| ~ spl17_39
| ~ spl17_42
| ~ spl17_50
| ~ spl17_296
| ~ spl17_325 ),
inference(forward_demodulation,[],[f313059,f211]) ).
fof(f313061,plain,
( forallprefers(lazy_impl(true,impl(sF14,false1)),lazy_impl(false1,sF12))
| ~ spl17_2
| ~ spl17_11
| ~ spl17_16
| ~ spl17_39
| ~ spl17_42
| ~ spl17_50
| ~ spl17_296
| ~ spl17_325 ),
inference(forward_demodulation,[],[f313060,f242]) ).
fof(f313062,plain,
( forallprefers(lazy_impl(true,impl(sF14,false1)),true)
| ~ spl17_2
| ~ spl17_11
| ~ spl17_16
| ~ spl17_39
| ~ spl17_42
| ~ spl17_50
| ~ spl17_296
| ~ spl17_325 ),
inference(forward_demodulation,[],[f313061,f179]) ).
fof(f313063,plain,
( forallprefers(lazy_impl(true,impl(sF13,false1)),true)
| ~ spl17_2
| ~ spl17_11
| ~ spl17_16
| ~ spl17_39
| ~ spl17_42
| ~ spl17_50
| ~ spl17_296
| ~ spl17_325 ),
inference(forward_demodulation,[],[f313062,f1817]) ).
fof(f313064,plain,
( forallprefers(lazy_impl(true,impl(sF12,false1)),true)
| ~ spl17_2
| ~ spl17_11
| ~ spl17_16
| ~ spl17_39
| ~ spl17_42
| ~ spl17_50
| ~ spl17_296
| ~ spl17_325 ),
inference(forward_demodulation,[],[f313063,f1129]) ).
fof(f313079,plain,
( ! [X0] :
( ~ d(lazy_impl(sF11,sF12))
| d(lazy_impl(prop(X0),impl(impl(true,impl(sF12,X0)),X0))) )
| ~ spl17_11
| ~ spl17_16
| ~ spl17_39
| ~ spl17_42
| ~ spl17_50
| ~ spl17_325 ),
inference(forward_demodulation,[],[f285868,f211]) ).
fof(f313092,plain,
( ! [X0] :
( ~ d(lazy_impl(false1,sF12))
| d(lazy_impl(prop(X0),impl(impl(true,impl(sF12,X0)),X0))) )
| ~ spl17_2
| ~ spl17_11
| ~ spl17_16
| ~ spl17_39
| ~ spl17_42
| ~ spl17_50
| ~ spl17_325 ),
inference(forward_demodulation,[],[f313079,f242]) ).
fof(f313100,plain,
( ! [X0] :
( ~ d(true)
| d(lazy_impl(prop(X0),impl(impl(true,impl(sF12,X0)),X0))) )
| ~ spl17_2
| ~ spl17_11
| ~ spl17_16
| ~ spl17_39
| ~ spl17_42
| ~ spl17_50
| ~ spl17_325 ),
inference(forward_demodulation,[],[f313092,f179]) ).
fof(f313103,plain,
( ! [X0] : d(lazy_impl(prop(X0),impl(impl(true,impl(sF12,X0)),X0)))
| ~ spl17_2
| ~ spl17_11
| ~ spl17_16
| ~ spl17_39
| ~ spl17_42
| ~ spl17_50
| ~ spl17_325 ),
inference(forward_subsumption_resolution,[],[f313100,f97]) ).
fof(f313104,plain,
( ! [X0] : d(lazy_impl(prop(X0),impl(impl(true,sF12),X0)))
| ~ spl17_2
| ~ spl17_11
| ~ spl17_16
| ~ spl17_39
| ~ spl17_42
| ~ spl17_50
| ~ spl17_325 ),
inference(forward_demodulation,[],[f313103,f60422]) ).
fof(f313105,plain,
( ! [X0] : d(lazy_impl(prop(X0),impl(sF12,X0)))
| ~ spl17_2
| ~ spl17_11
| ~ spl17_16
| ~ spl17_39
| ~ spl17_42
| ~ spl17_50
| ~ spl17_325 ),
inference(forward_demodulation,[],[f313104,f51111]) ).
fof(f313106,plain,
( ! [X0] : d(lazy_impl(prop(X0),sF12))
| ~ spl17_2
| ~ spl17_11
| ~ spl17_16
| ~ spl17_39
| ~ spl17_42
| ~ spl17_50
| ~ spl17_325 ),
inference(forward_demodulation,[],[f313105,f60422]) ).
fof(f313107,plain,
( spl17_525
| ~ spl17_2
| ~ spl17_11
| ~ spl17_16
| ~ spl17_39
| ~ spl17_42
| ~ spl17_50
| ~ spl17_325 ),
inference(avatar_split_clause,[],[f313106,f60421,f1815,f1127,f950,f360,f338,f240,f119764]) ).
fof(f313394,plain,
( spl17_5
| spl17_1100
| ~ spl17_32
| ~ spl17_42
| ~ spl17_189
| ~ spl17_525 ),
inference(avatar_split_clause,[],[f311727,f119764,f37801,f1127,f704,f238381,f253]) ).
fof(f313452,plain,
( forallprefers(lazy_impl(true,sF12),true)
| ~ spl17_2
| ~ spl17_11
| ~ spl17_16
| ~ spl17_39
| ~ spl17_42
| ~ spl17_50
| ~ spl17_296
| ~ spl17_325 ),
inference(forward_demodulation,[],[f313064,f60422]) ).
fof(f314240,plain,
( ! [X0] :
( bool(lazy_impl(true,sF12))
| prop(X0) = false1 )
| ~ spl17_8
| ~ spl17_14
| ~ spl17_28
| ~ spl17_31
| ~ spl17_42
| ~ spl17_47
| spl17_220
| ~ spl17_273
| ~ spl17_525 ),
inference(superposition,[],[f311704,f14056]) ).
fof(f314320,plain,
( ! [X0] :
( bool(sF12)
| prop(X0) = false1 )
| ~ spl17_8
| ~ spl17_14
| ~ spl17_28
| ~ spl17_31
| ~ spl17_41
| ~ spl17_42
| ~ spl17_47
| spl17_220
| ~ spl17_273
| ~ spl17_324
| ~ spl17_525 ),
inference(forward_demodulation,[],[f314240,f123462]) ).
fof(f314350,plain,
( ! [X0] : prop(X0) = false1
| ~ spl17_8
| ~ spl17_14
| ~ spl17_28
| ~ spl17_31
| ~ spl17_41
| ~ spl17_42
| ~ spl17_47
| spl17_220
| ~ spl17_273
| ~ spl17_324
| ~ spl17_525 ),
inference(forward_subsumption_resolution,[],[f314320,f61227]) ).
fof(f314356,plain,
( spl17_447
| ~ spl17_8
| ~ spl17_14
| ~ spl17_28
| ~ spl17_31
| ~ spl17_41
| ~ spl17_42
| ~ spl17_47
| spl17_220
| ~ spl17_273
| ~ spl17_324
| ~ spl17_525 ),
inference(avatar_split_clause,[],[f314350,f119764,f60416,f52642,f47570,f1614,f1127,f1123,f694,f679,f351,f300,f88665]) ).
fof(f316697,plain,
( ! [X0] : true = prop(X0)
| ~ spl17_2
| ~ spl17_11
| ~ spl17_14
| ~ spl17_16
| ~ spl17_28
| ~ spl17_39
| ~ spl17_42
| ~ spl17_47
| ~ spl17_50
| ~ spl17_189
| spl17_220
| ~ spl17_273
| ~ spl17_296
| ~ spl17_325 ),
inference(forward_subsumption_resolution,[],[f311585,f313452]) ).
fof(f318119,plain,
( spl17_5
| ~ spl17_2
| ~ spl17_11
| ~ spl17_14
| ~ spl17_16
| ~ spl17_28
| ~ spl17_39
| ~ spl17_42
| ~ spl17_47
| ~ spl17_50
| ~ spl17_189
| spl17_220
| ~ spl17_273
| ~ spl17_296
| ~ spl17_325 ),
inference(avatar_split_clause,[],[f316697,f60421,f57042,f52642,f47570,f37801,f1815,f1614,f1127,f950,f679,f360,f351,f338,f240,f253]) ).
cnf(s2,plain,
( spl17_3
| spl17_4 ),
inference(sat_conversion,[],[f251]) ).
cnf(s4,plain,
( spl17_1
| spl17_2 ),
inference(sat_conversion,[],[f260]) ).
cnf(s5,plain,
( spl17_4
| spl17_7
| spl17_8 ),
inference(sat_conversion,[],[f303]) ).
cnf(s11,plain,
( spl17_9
| spl17_10
| spl17_11 ),
inference(sat_conversion,[],[f368]) ).
cnf(s12,plain,
( spl17_12
| spl17_13
| spl17_14 ),
inference(sat_conversion,[],[f369]) ).
cnf(s13,plain,
( spl17_15
| spl17_16
| spl17_17 ),
inference(sat_conversion,[],[f370]) ).
cnf(s15,plain,
( ~ spl17_9
| ~ spl17_15
| spl17_18
| spl17_19
| spl17_20 ),
inference(sat_conversion,[],[f613]) ).
cnf(s16,plain,
( spl17_21
| spl17_22 ),
inference(sat_conversion,[],[f625]) ).
cnf(s17,plain,
( spl17_21
| spl17_22 ),
inference(sat_conversion,[],[f626]) ).
cnf(s18,plain,
~ spl17_7,
inference(sat_conversion,[],[f640]) ).
cnf(s21,plain,
( ~ spl17_2
| ~ spl17_10
| ~ spl17_12
| spl17_24
| spl17_25
| spl17_26 ),
inference(sat_conversion,[],[f667]) ).
cnf(s26,plain,
( ~ spl17_29
| ~ spl17_30
| spl17_31 ),
inference(sat_conversion,[],[f696]) ).
cnf(s28,plain,
( ~ spl17_15
| spl17_18
| spl17_19
| spl17_32 ),
inference(sat_conversion,[],[f708]) ).
cnf(s32,plain,
( ~ spl17_16
| spl17_18
| spl17_19
| spl17_32 ),
inference(sat_conversion,[],[f729]) ).
cnf(s36,plain,
( spl17_18
| spl17_19
| spl17_32
| spl17_35 ),
inference(sat_conversion,[],[f743]) ).
cnf(s40,plain,
( ~ spl17_2
| ~ spl17_22 ),
inference(sat_conversion,[],[f776]) ).
cnf(s42,plain,
( ~ spl17_2
| ~ spl17_24 ),
inference(sat_conversion,[],[f796]) ).
cnf(s44,plain,
( ~ spl17_2
| ~ spl17_25 ),
inference(sat_conversion,[],[f812]) ).
cnf(s48,plain,
( ~ spl17_1
| spl17_24
| spl17_25 ),
inference(sat_conversion,[],[f847]) ).
cnf(s54,plain,
( ~ spl17_9
| spl17_15
| ~ spl17_17 ),
inference(sat_conversion,[],[f889]) ).
cnf(s57,plain,
( ~ spl17_13
| ~ spl17_16
| ~ spl17_23 ),
inference(sat_conversion,[],[f918]) ).
cnf(s62,plain,
( ~ spl17_14
| spl17_18
| ~ spl17_20
| ~ spl17_39 ),
inference(sat_conversion,[],[f978]) ).
cnf(s63,plain,
( spl17_10
| ~ spl17_16
| ~ spl17_19 ),
inference(sat_conversion,[],[f988]) ).
cnf(s64,plain,
~ spl17_4,
inference(sat_conversion,[],[f1010]) ).
cnf(s69,plain,
( ~ spl17_8
| spl17_30 ),
inference(sat_conversion,[],[f1098]) ).
cnf(s71,plain,
( ~ spl17_8
| spl17_29 ),
inference(sat_conversion,[],[f1108]) ).
cnf(s72,plain,
( ~ spl17_1
| spl17_22
| ~ spl17_40 ),
inference(sat_conversion,[],[f1117]) ).
cnf(s77,plain,
( ~ spl17_32
| spl17_42
| spl17_43 ),
inference(sat_conversion,[],[f1148]) ).
cnf(s82,plain,
( ~ spl17_13
| spl17_19
| ~ spl17_25 ),
inference(sat_conversion,[],[f1211]) ).
cnf(s85,plain,
( ~ spl17_12
| spl17_19
| ~ spl17_25 ),
inference(sat_conversion,[],[f1215]) ).
cnf(s86,plain,
( spl17_9
| ~ spl17_16
| ~ spl17_18 ),
inference(sat_conversion,[],[f1217]) ).
cnf(s112,plain,
( spl17_11
| ~ spl17_19
| ~ spl17_25
| ~ spl17_32
| ~ spl17_42 ),
inference(sat_conversion,[],[f1668]) ).
cnf(s115,plain,
( ~ spl17_10
| ~ spl17_43 ),
inference(sat_conversion,[],[f1705]) ).
cnf(s124,plain,
( spl17_40
| ~ spl17_43
| spl17_48 ),
inference(sat_conversion,[],[f1743]) ).
cnf(s130,plain,
( ~ spl17_10
| ~ spl17_19
| spl17_42 ),
inference(sat_conversion,[],[f1758]) ).
cnf(s131,plain,
( ~ spl17_10
| ~ spl17_19
| spl17_32 ),
inference(sat_conversion,[],[f1780]) ).
cnf(s133,plain,
( spl17_11
| spl17_49 ),
inference(sat_conversion,[],[f1792]) ).
cnf(s144,plain,
( ~ spl17_9
| ~ spl17_12
| spl17_18
| ~ spl17_50 ),
inference(sat_conversion,[],[f2048]) ).
cnf(s150,plain,
( ~ spl17_1
| ~ spl17_11
| spl17_15
| spl17_16
| ~ spl17_17
| ~ spl17_21
| spl17_40 ),
inference(sat_conversion,[],[f2110]) ).
cnf(s152,plain,
( spl17_10
| ~ spl17_15
| ~ spl17_19 ),
inference(sat_conversion,[],[f2152]) ).
cnf(s158,plain,
~ spl17_52,
inference(sat_conversion,[],[f3522]) ).
cnf(s159,plain,
( ~ spl17_5
| spl17_52 ),
inference(sat_conversion,[],[f3540]) ).
cnf(s222,plain,
( spl17_124
| spl17_125 ),
inference(sat_conversion,[],[f20391]) ).
cnf(s223,plain,
( spl17_125
| spl17_126 ),
inference(sat_conversion,[],[f20395]) ).
cnf(s244,plain,
~ spl17_125,
inference(sat_conversion,[],[f20686]) ).
cnf(s249,plain,
( ~ spl17_126
| spl17_132
| spl17_133 ),
inference(sat_conversion,[],[f20770]) ).
cnf(s294,plain,
( spl17_76
| spl17_149 ),
inference(sat_conversion,[],[f21772]) ).
cnf(s300,plain,
~ spl17_76,
inference(sat_conversion,[],[f21791]) ).
cnf(s311,plain,
( ~ spl17_3
| spl17_76
| ~ spl17_146 ),
inference(sat_conversion,[],[f23113]) ).
cnf(s376,plain,
( ~ spl17_122
| ~ spl17_133
| spl17_189 ),
inference(sat_conversion,[],[f37818]) ).
cnf(s383,plain,
( spl17_120
| ~ spl17_133 ),
inference(sat_conversion,[],[f38107]) ).
cnf(s385,plain,
( spl17_122
| ~ spl17_133 ),
inference(sat_conversion,[],[f38110]) ).
cnf(s424,plain,
( ~ spl17_12
| ~ spl17_15
| ~ spl17_25 ),
inference(sat_conversion,[],[f46103]) ).
cnf(s515,plain,
( ~ spl17_13
| ~ spl17_15
| spl17_221 ),
inference(sat_conversion,[],[f47660]) ).
cnf(s538,plain,
( ~ spl17_10
| ~ spl17_13
| ~ spl17_15
| ~ spl17_25
| ~ spl17_50
| ~ spl17_122
| spl17_125
| ~ spl17_133 ),
inference(sat_conversion,[],[f49284]) ).
cnf(s566,plain,
( ~ spl17_1
| ~ spl17_11
| ~ spl17_22
| spl17_40
| spl17_43
| ~ spl17_50 ),
inference(sat_conversion,[],[f49747]) ).
cnf(s571,plain,
( spl17_13
| ~ spl17_14
| ~ spl17_19 ),
inference(sat_conversion,[],[f49815]) ).
cnf(s608,plain,
( ~ spl17_9
| ~ spl17_10 ),
inference(sat_conversion,[],[f50303]) ).
cnf(s619,plain,
( ~ spl17_1
| ~ spl17_10
| ~ spl17_11
| spl17_23
| spl17_40
| ~ spl17_50 ),
inference(sat_conversion,[],[f50523]) ).
cnf(s620,plain,
( ~ spl17_10
| ~ spl17_20
| ~ spl17_32 ),
inference(sat_conversion,[],[f50529]) ).
cnf(s688,plain,
( spl17_12
| spl17_13
| ~ spl17_14
| ~ spl17_15
| spl17_18
| ~ spl17_221 ),
inference(sat_conversion,[],[f50924]) ).
cnf(s707,plain,
( spl17_12
| spl17_13
| ~ spl17_14
| ~ spl17_15
| spl17_255 ),
inference(sat_conversion,[],[f51038]) ).
cnf(s727,plain,
( ~ spl17_1
| ~ spl17_11
| ~ spl17_21
| spl17_40
| ~ spl17_42
| ~ spl17_255 ),
inference(sat_conversion,[],[f51501]) ).
cnf(s819,plain,
( spl17_12
| ~ spl17_14
| ~ spl17_18 ),
inference(sat_conversion,[],[f52052]) ).
cnf(s824,plain,
( spl17_10
| ~ spl17_15
| ~ spl17_18 ),
inference(sat_conversion,[],[f52458]) ).
cnf(s877,plain,
( ~ spl17_43
| spl17_273 ),
inference(sat_conversion,[],[f53445]) ).
cnf(s891,plain,
( spl17_12
| spl17_13
| ~ spl17_14
| spl17_19
| ~ spl17_219 ),
inference(sat_conversion,[],[f53669]) ).
cnf(s894,plain,
( ~ spl17_14
| spl17_39
| spl17_42
| ~ spl17_43 ),
inference(sat_conversion,[],[f53816]) ).
cnf(s961,plain,
( ~ spl17_22
| ~ spl17_42
| ~ spl17_43
| ~ spl17_255 ),
inference(sat_conversion,[],[f54772]) ).
cnf(s969,plain,
( ~ spl17_11
| ~ spl17_32
| ~ spl17_40
| ~ spl17_42
| spl17_43 ),
inference(sat_conversion,[],[f54878]) ).
cnf(s994,plain,
( ~ spl17_48
| ~ spl17_66 ),
inference(sat_conversion,[],[f55310]) ).
cnf(s1034,plain,
( ~ spl17_11
| spl17_26
| ~ spl17_32
| ~ spl17_42 ),
inference(sat_conversion,[],[f56303]) ).
cnf(s1054,plain,
( spl17_9
| spl17_10
| ~ spl17_11
| spl17_26
| ~ spl17_42
| ~ spl17_50 ),
inference(sat_conversion,[],[f56670]) ).
cnf(s1224,plain,
( ~ spl17_2
| spl17_47 ),
inference(sat_conversion,[],[f58806]) ).
cnf(s1246,plain,
( ~ spl17_28
| spl17_41
| ~ spl17_42 ),
inference(sat_conversion,[],[f59243]) ).
cnf(s1249,plain,
( ~ spl17_21
| ~ spl17_221
| ~ spl17_278 ),
inference(sat_conversion,[],[f59590]) ).
cnf(s1281,plain,
( spl17_24
| spl17_25
| ~ spl17_26
| spl17_41
| ~ spl17_42
| spl17_320 ),
inference(sat_conversion,[],[f60360]) ).
cnf(s1285,plain,
( ~ spl17_13
| spl17_24
| spl17_25
| spl17_320 ),
inference(sat_conversion,[],[f60364]) ).
cnf(s1288,plain,
( spl17_24
| spl17_25
| ~ spl17_26
| ~ spl17_32
| ~ spl17_42
| spl17_320
| spl17_324 ),
inference(sat_conversion,[],[f60419]) ).
cnf(s1327,plain,
( ~ spl17_2
| ~ spl17_42
| ~ spl17_273
| spl17_303
| ~ spl17_320
| ~ spl17_327 ),
inference(sat_conversion,[],[f63613]) ).
cnf(s1667,plain,
( ~ spl17_2
| spl17_4
| ~ spl17_8
| ~ spl17_13
| ~ spl17_15
| ~ spl17_26
| ~ spl17_31
| ~ spl17_327 ),
inference(sat_conversion,[],[f119629]) ).
cnf(s1670,plain,
( ~ spl17_2
| ~ spl17_320
| spl17_330 ),
inference(sat_conversion,[],[f119645]) ).
cnf(s1671,plain,
( ~ spl17_2
| ~ spl17_320
| spl17_331 ),
inference(sat_conversion,[],[f119646]) ).
cnf(s1701,plain,
( ~ spl17_42
| spl17_43
| ~ spl17_320
| spl17_327 ),
inference(sat_conversion,[],[f120425]) ).
cnf(s1757,plain,
( spl17_1
| ~ spl17_12
| spl17_320 ),
inference(sat_conversion,[],[f122328]) ).
cnf(s1917,plain,
( ~ spl17_2
| ~ spl17_3
| ~ spl17_8
| ~ spl17_12
| ~ spl17_15
| ~ spl17_26 ),
inference(sat_conversion,[],[f129176]) ).
cnf(s1931,plain,
( spl17_12
| spl17_13
| ~ spl17_215
| ~ spl17_220 ),
inference(sat_conversion,[],[f130207]) ).
cnf(s2088,plain,
( ~ spl17_14
| spl17_39
| ~ spl17_42
| spl17_43 ),
inference(sat_conversion,[],[f134641]) ).
cnf(s2140,plain,
( ~ spl17_2
| spl17_319
| ~ spl17_562 ),
inference(sat_conversion,[],[f135844]) ).
cnf(s2195,plain,
( ~ spl17_2
| spl17_561
| spl17_562 ),
inference(sat_conversion,[],[f136746]) ).
cnf(s2234,plain,
( ~ spl17_2
| ~ spl17_14
| ~ spl17_15
| ~ spl17_26
| ~ spl17_32
| ~ spl17_41
| ~ spl17_42
| spl17_52
| ~ spl17_120
| ~ spl17_122
| spl17_221
| ~ spl17_325
| ~ spl17_525 ),
inference(sat_conversion,[],[f140621]) ).
cnf(s2242,plain,
( ~ spl17_2
| ~ spl17_14
| ~ spl17_15
| ~ spl17_26
| ~ spl17_42
| spl17_221
| ~ spl17_325
| spl17_525 ),
inference(sat_conversion,[],[f140625]) ).
cnf(s2251,plain,
( ~ spl17_2
| ~ spl17_14
| ~ spl17_15
| ~ spl17_26
| ~ spl17_40
| ~ spl17_42
| spl17_146
| ~ spl17_149
| spl17_221 ),
inference(sat_conversion,[],[f141335]) ).
cnf(s2261,plain,
( ~ spl17_10
| spl17_19
| ~ spl17_42 ),
inference(sat_conversion,[],[f141856]) ).
cnf(s2524,plain,
( ~ spl17_12
| ~ spl17_15
| spl17_221 ),
inference(sat_conversion,[],[f144951]) ).
cnf(s2583,plain,
( ~ spl17_22
| ~ spl17_47 ),
inference(sat_conversion,[],[f147085]) ).
cnf(s2919,plain,
( spl17_52
| ~ spl17_124
| spl17_125
| ~ spl17_132 ),
inference(sat_conversion,[],[f148988]) ).
cnf(s3154,plain,
( ~ spl17_8
| ~ spl17_22
| ~ spl17_77
| ~ spl17_312 ),
inference(sat_conversion,[],[f151194]) ).
cnf(s3163,plain,
( ~ spl17_278
| spl17_312 ),
inference(sat_conversion,[],[f151245]) ).
cnf(s3292,plain,
( spl17_66
| spl17_76 ),
inference(sat_conversion,[],[f155243]) ).
cnf(s3567,plain,
( ~ spl17_2
| ~ spl17_3
| ~ spl17_8
| ~ spl17_13
| ~ spl17_15
| spl17_76
| ~ spl17_149
| ~ spl17_320
| ~ spl17_561 ),
inference(sat_conversion,[],[f176524]) ).
cnf(s3589,plain,
( ~ spl17_32
| spl17_42
| ~ spl17_320
| ~ spl17_327 ),
inference(sat_conversion,[],[f176541]) ).
cnf(s3675,plain,
( spl17_319
| spl17_326 ),
inference(sat_conversion,[],[f181064]) ).
cnf(s3944,plain,
( ~ spl17_2
| ~ spl17_10
| ~ spl17_15
| spl17_25
| ~ spl17_319
| ~ spl17_327 ),
inference(sat_conversion,[],[f185968]) ).
cnf(s3959,plain,
( ~ spl17_18
| spl17_20 ),
inference(sat_conversion,[],[f186376]) ).
cnf(s3995,plain,
( ~ spl17_10
| ~ spl17_11
| ~ spl17_40 ),
inference(sat_conversion,[],[f186930]) ).
cnf(s4146,plain,
( ~ spl17_10
| ~ spl17_24
| spl17_285
| ~ spl17_319 ),
inference(sat_conversion,[],[f192105]) ).
cnf(s4186,plain,
( ~ spl17_12
| spl17_19
| ~ spl17_24 ),
inference(sat_conversion,[],[f192293]) ).
cnf(s4193,plain,
( spl17_15
| spl17_16
| ~ spl17_17
| ~ spl17_22
| ~ spl17_43 ),
inference(sat_conversion,[],[f192295]) ).
cnf(s4203,plain,
( ~ spl17_43
| spl17_48
| ~ spl17_49 ),
inference(sat_conversion,[],[f193170]) ).
cnf(s4228,plain,
( spl17_9
| spl17_10
| ~ spl17_11
| spl17_15
| spl17_16
| ~ spl17_17
| ~ spl17_40
| spl17_43 ),
inference(sat_conversion,[],[f194542]) ).
cnf(s4489,plain,
( ~ spl17_2
| spl17_41
| ~ spl17_327 ),
inference(sat_conversion,[],[f196662]) ).
cnf(s4499,plain,
( ~ spl17_11
| spl17_40
| spl17_50 ),
inference(sat_conversion,[],[f201209]) ).
cnf(s4501,plain,
( ~ spl17_11
| ~ spl17_17
| spl17_43
| spl17_50 ),
inference(sat_conversion,[],[f201216]) ).
cnf(s4815,plain,
( spl17_9
| ~ spl17_17
| spl17_28
| ~ spl17_35
| spl17_43 ),
inference(sat_conversion,[],[f210048]) ).
cnf(s4882,plain,
( spl17_327
| ~ spl17_330
| ~ spl17_331
| spl17_1040 ),
inference(sat_conversion,[],[f210391]) ).
cnf(s5046,plain,
( ~ spl17_11
| ~ spl17_17
| ~ spl17_35
| spl17_43
| ~ spl17_50
| ~ spl17_273
| spl17_1071 ),
inference(sat_conversion,[],[f224292]) ).
cnf(s5108,plain,
( ~ spl17_8
| ~ spl17_11
| ~ spl17_31
| ~ spl17_50
| spl17_273
| spl17_447
| ~ spl17_1031 ),
inference(sat_conversion,[],[f224502]) ).
cnf(s5138,plain,
( spl17_36
| spl17_219 ),
inference(sat_conversion,[],[f224539]) ).
cnf(s5155,plain,
( ~ spl17_11
| ~ spl17_17
| ~ spl17_35
| spl17_43
| ~ spl17_47
| ~ spl17_50
| spl17_1031 ),
inference(sat_conversion,[],[f225084]) ).
cnf(s5187,plain,
( ~ spl17_11
| ~ spl17_17
| ~ spl17_28
| ~ spl17_35
| spl17_43
| ~ spl17_47
| ~ spl17_50
| spl17_52
| ~ spl17_120
| ~ spl17_122
| ~ spl17_1071 ),
inference(sat_conversion,[],[f230017]) ).
cnf(s5220,plain,
( spl17_42
| ~ spl17_43
| ~ spl17_1040 ),
inference(sat_conversion,[],[f230422]) ).
cnf(s5242,plain,
( ~ spl17_36
| ~ spl17_43
| ~ spl17_47
| spl17_146
| ~ spl17_149
| spl17_217
| ~ spl17_1040 ),
inference(sat_conversion,[],[f232182]) ).
cnf(s5276,plain,
( ~ spl17_14
| ~ spl17_36
| ~ spl17_39
| spl17_325 ),
inference(sat_conversion,[],[f233489]) ).
cnf(s5278,plain,
( ~ spl17_14
| spl17_215
| spl17_1040 ),
inference(sat_conversion,[],[f233495]) ).
cnf(s5335,plain,
( ~ spl17_17
| ~ spl17_35
| ~ spl17_43
| ~ spl17_47
| spl17_146 ),
inference(sat_conversion,[],[f233992]) ).
cnf(s5338,plain,
( ~ spl17_13
| spl17_18
| ~ spl17_24 ),
inference(sat_conversion,[],[f234028]) ).
cnf(s5376,plain,
( ~ spl17_10
| spl17_25
| ~ spl17_50
| ~ spl17_319 ),
inference(sat_conversion,[],[f236152]) ).
cnf(s5504,plain,
( ~ spl17_12
| ~ spl17_16
| ~ spl17_21
| ~ spl17_278 ),
inference(sat_conversion,[],[f238372]) ).
cnf(s5518,plain,
( ~ spl17_19
| ~ spl17_24
| ~ spl17_42
| spl17_285 ),
inference(sat_conversion,[],[f238391]) ).
cnf(s5528,plain,
( ~ spl17_1
| spl17_278
| ~ spl17_285 ),
inference(sat_conversion,[],[f238602]) ).
cnf(s5537,plain,
( ~ spl17_24
| ~ spl17_326 ),
inference(sat_conversion,[],[f239302]) ).
cnf(s5544,plain,
( ~ spl17_10
| ~ spl17_11
| spl17_284 ),
inference(sat_conversion,[],[f240249]) ).
cnf(s5580,plain,
( ~ spl17_12
| ~ spl17_16
| ~ spl17_47
| ~ spl17_120
| ~ spl17_122
| spl17_125 ),
inference(sat_conversion,[],[f241771]) ).
cnf(s5590,plain,
( ~ spl17_9
| ~ spl17_24
| spl17_284 ),
inference(sat_conversion,[],[f241903]) ).
cnf(s5591,plain,
( ~ spl17_9
| spl17_18
| ~ spl17_42 ),
inference(sat_conversion,[],[f241904]) ).
cnf(s5745,plain,
( ~ spl17_13
| ~ spl17_16
| ~ spl17_21
| ~ spl17_47 ),
inference(sat_conversion,[],[f245520]) ).
cnf(s5759,plain,
( ~ spl17_1
| spl17_47
| ~ spl17_284 ),
inference(sat_conversion,[],[f245800]) ).
cnf(s6292,plain,
( spl17_28
| ~ spl17_41
| ~ spl17_42 ),
inference(sat_conversion,[],[f247400]) ).
cnf(s6605,plain,
( ~ spl17_11
| ~ spl17_32
| ~ spl17_42
| spl17_50 ),
inference(sat_conversion,[],[f251659]) ).
cnf(s6610,plain,
( ~ spl17_11
| spl17_50
| ~ spl17_273 ),
inference(sat_conversion,[],[f251662]) ).
cnf(s6618,plain,
( ~ spl17_10
| spl17_16
| ~ spl17_17
| spl17_43 ),
inference(sat_conversion,[],[f251737]) ).
cnf(s6620,plain,
( ~ spl17_10
| spl17_15
| spl17_16
| ~ spl17_17
| ~ spl17_21
| ~ spl17_47 ),
inference(sat_conversion,[],[f251738]) ).
cnf(s6796,plain,
( spl17_15
| spl17_16
| spl17_35 ),
inference(sat_conversion,[],[f260823]) ).
cnf(s6798,plain,
( ~ spl17_16
| ~ spl17_35 ),
inference(sat_conversion,[],[f261924]) ).
cnf(s6985,plain,
( spl17_327
| ~ spl17_330
| spl17_561 ),
inference(sat_conversion,[],[f263743]) ).
cnf(s7008,plain,
( ~ spl17_42
| ~ spl17_43
| ~ spl17_50
| spl17_1040 ),
inference(sat_conversion,[],[f263892]) ).
cnf(s7060,plain,
( ~ spl17_8
| ~ spl17_31
| ~ spl17_447 ),
inference(sat_conversion,[],[f264166]) ).
cnf(s7097,plain,
( spl17_19
| spl17_327
| ~ spl17_330
| spl17_561 ),
inference(sat_conversion,[],[f264436]) ).
cnf(s7255,plain,
( spl17_12
| spl17_13
| ~ spl17_14
| ~ spl17_16
| ~ spl17_42
| ~ spl17_43
| ~ spl17_47
| spl17_48
| spl17_146
| ~ spl17_149
| ~ spl17_217 ),
inference(sat_conversion,[],[f266817]) ).
cnf(s7558,plain,
( ~ spl17_16
| spl17_18
| spl17_19
| spl17_43
| ~ spl17_1040 ),
inference(sat_conversion,[],[f274149]) ).
cnf(s7687,plain,
( spl17_12
| spl17_13
| ~ spl17_14
| ~ spl17_16
| spl17_255 ),
inference(sat_conversion,[],[f274592]) ).
cnf(s7692,plain,
( ~ spl17_14
| ~ spl17_32
| ~ spl17_39
| spl17_42 ),
inference(sat_conversion,[],[f274752]) ).
cnf(s7698,plain,
( ~ spl17_32
| ~ spl17_39
| spl17_42
| spl17_219 ),
inference(sat_conversion,[],[f274756]) ).
cnf(s7768,plain,
( ~ spl17_1
| ~ spl17_11
| spl17_12
| spl17_13
| ~ spl17_14
| ~ spl17_16
| ~ spl17_21
| spl17_22
| spl17_40
| ~ spl17_42 ),
inference(sat_conversion,[],[f274820]) ).
cnf(s7929,plain,
( spl17_76
| spl17_77 ),
inference(sat_conversion,[],[f288639]) ).
cnf(s8246,plain,
( ~ spl17_42
| spl17_273
| ~ spl17_1100 ),
inference(sat_conversion,[],[f312248]) ).
cnf(s8254,plain,
( ~ spl17_2
| ~ spl17_11
| ~ spl17_16
| ~ spl17_39
| ~ spl17_42
| ~ spl17_50
| spl17_296
| ~ spl17_303
| ~ spl17_325 ),
inference(sat_conversion,[],[f312826]) ).
cnf(s8361,plain,
( ~ spl17_2
| ~ spl17_11
| ~ spl17_16
| ~ spl17_39
| ~ spl17_42
| ~ spl17_50
| ~ spl17_325
| spl17_525 ),
inference(sat_conversion,[],[f313107]) ).
cnf(s8473,plain,
( spl17_5
| ~ spl17_32
| ~ spl17_42
| ~ spl17_189
| ~ spl17_525
| spl17_1100 ),
inference(sat_conversion,[],[f313394]) ).
cnf(s8608,plain,
( ~ spl17_8
| ~ spl17_14
| ~ spl17_28
| ~ spl17_31
| ~ spl17_41
| ~ spl17_42
| ~ spl17_47
| spl17_220
| ~ spl17_273
| ~ spl17_324
| spl17_447
| ~ spl17_525 ),
inference(sat_conversion,[],[f314356]) ).
cnf(s8709,plain,
( ~ spl17_2
| spl17_5
| ~ spl17_11
| ~ spl17_14
| ~ spl17_16
| ~ spl17_28
| ~ spl17_39
| ~ spl17_42
| ~ spl17_47
| ~ spl17_50
| ~ spl17_189
| spl17_220
| ~ spl17_273
| ~ spl17_296
| ~ spl17_325 ),
inference(sat_conversion,[],[f318119]) ).
cnf(s8775,plain,
spl17_77,
inference(rat,[],[s7929,s300]) ).
cnf(s8778,plain,
spl17_66,
inference(rat,[],[s3292,s300]) ).
cnf(s8782,plain,
~ spl17_48,
inference(rat,[],[s994,s8778]) ).
cnf(s8783,plain,
spl17_149,
inference(rat,[],[s294,s300]) ).
cnf(s8795,plain,
spl17_126,
inference(rat,[],[s223,s244]) ).
cnf(s8796,plain,
spl17_124,
inference(rat,[],[s222,s244]) ).
cnf(s8810,plain,
~ spl17_132,
inference(rat,[],[s2919,s8796,s244,s158]) ).
cnf(s8813,plain,
~ spl17_5,
inference(rat,[],[s159,s158]) ).
cnf(s8814,plain,
spl17_133,
inference(rat,[],[s249,s8795,s8810]) ).
cnf(s8815,plain,
spl17_122,
inference(rat,[],[s385,s8814]) ).
cnf(s8816,plain,
spl17_120,
inference(rat,[],[s383,s8814]) ).
cnf(s8821,plain,
spl17_189,
inference(rat,[],[s376,s8814,s8815]) ).
cnf(s8828,plain,
( spl17_40
| ~ spl17_43 ),
inference(rat,[],[s124,s8782]) ).
cnf(s8832,plain,
spl17_8,
inference(rat,[],[s5,s18,s64]) ).
cnf(s8835,plain,
spl17_29,
inference(rat,[],[s71,s8832]) ).
cnf(s8836,plain,
spl17_30,
inference(rat,[],[s69,s8832]) ).
cnf(s8837,plain,
spl17_31,
inference(rat,[],[s26,s8835,s8836]) ).
cnf(s8838,plain,
~ spl17_447,
inference(rat,[],[s7060,s8832,s8837]) ).
cnf(s8844,plain,
spl17_3,
inference(rat,[],[s2,s64]) ).
cnf(s8845,plain,
~ spl17_146,
inference(rat,[],[s311,s300,s8844]) ).
cnf(s8860,plain,
( ~ spl17_50
| ~ spl17_28
| ~ spl17_11
| ~ spl17_35
| spl17_43
| ~ spl17_47
| ~ spl17_17 ),
inference(rat,[],[s5108,s5046,s5155,s5187,s8815,s8816,s158,s8838,s8837,s8832]) ).
cnf(s8861,plain,
( spl17_16
| spl17_15
| ~ spl17_11
| spl17_9
| ~ spl17_47 ),
inference(rat,[],[s8860,s4501,s4815,s5335,s6796,s13,s8845]) ).
cnf(s8863,plain,
( ~ spl17_28
| ~ spl17_325
| spl17_220
| ~ spl17_26
| spl17_43
| ~ spl17_32
| ~ spl17_16
| ~ spl17_14
| ~ spl17_11
| ~ spl17_2 ),
inference(rat,[],[s1327,s1701,s1288,s8608,s8254,s1246,s8709,s1224,s44,s42,s8246,s8473,s8361,s6605,s2088,s77,s8832,s8837,s8838,s8813,s8821]) ).
cnf(s8864,plain,
( spl17_43
| ~ spl17_16
| spl17_13
| spl17_12
| spl17_10
| spl17_9
| ~ spl17_2 ),
inference(rat,[],[s1701,s4489,s1281,s6292,s8863,s5276,s1931,s2088,s1054,s6605,s5278,s77,s7558,s44,s42,s11,s5138,s891,s32,s571,s819,s12]) ).
cnf(s8865,plain,
( ~ spl17_42
| ~ spl17_50
| ~ spl17_43
| ~ spl17_16
| spl17_13
| spl17_12
| ~ spl17_47 ),
inference(rat,[],[s5242,s7255,s7008,s5138,s891,s571,s12,s8845,s8783,s8782]) ).
cnf(s8866,plain,
( ~ spl17_16
| spl17_13
| spl17_12
| spl17_10
| spl17_9
| ~ spl17_2 ),
inference(rat,[],[s894,s7698,s8865,s6610,s877,s8864,s32,s1224,s11,s819,s891,s571,s12]) ).
cnf(s8867,plain,
( spl17_43
| spl17_221
| ~ spl17_32
| ~ spl17_15
| ~ spl17_36
| ~ spl17_14
| spl17_10
| spl17_9
| ~ spl17_2 ),
inference(rat,[],[s1701,s4489,s1281,s2234,s2242,s5276,s2088,s1054,s6605,s77,s44,s42,s11,s158,s8816,s8815]) ).
cnf(s8868,plain,
( ~ spl17_42
| ~ spl17_50
| ~ spl17_40
| spl17_221
| ~ spl17_15
| ~ spl17_14
| spl17_10
| spl17_9
| ~ spl17_2 ),
inference(rat,[],[s2251,s1054,s11,s8845,s8783]) ).
cnf(s8869,plain,
( spl17_13
| spl17_12
| spl17_10
| spl17_9
| ~ spl17_2 ),
inference(rat,[],[s894,s7698,s8868,s6610,s8828,s877,s8867,s688,s28,s8861,s8866,s5138,s891,s571,s819,s12,s1224,s11]) ).
cnf(s8870,plain,
( ~ spl17_13
| spl17_10
| spl17_9
| ~ spl17_2 ),
inference(rat,[],[s1054,s6605,s1667,s3589,s7097,s3567,s28,s152,s824,s1670,s8861,s1285,s5745,s1224,s44,s42,s17,s40,s11,s64,s8832,s8837,s8844,s300,s8783]) ).
cnf(s8871,plain,
( spl17_10
| spl17_9
| spl17_1 ),
inference(rat,[],[s4882,s3589,s5220,s77,s1034,s1917,s28,s152,s824,s8861,s1670,s1671,s5580,s1757,s8869,s8870,s11,s1224,s4,s8832,s8844,s8816,s8815,s244]) ).
cnf(s8873,plain,
( ~ spl17_16
| ~ spl17_10
| spl17_9
| ~ spl17_2 ),
inference(rat,[],[s77,s32,s2261,s571,s12,s86,s5580,s5745,s1224,s17,s40,s115,s8816,s8815,s244]) ).
cnf(s8874,plain,
( spl17_16
| spl17_15
| ~ spl17_10
| ~ spl17_47
| ~ spl17_21 ),
inference(rat,[],[s13,s6620]) ).
cnf(s8875,plain,
( spl17_13
| spl17_12
| ~ spl17_15
| ~ spl17_10 ),
inference(rat,[],[s77,s2261,s28,s571,s819,s12,s115]) ).
cnf(s8876,plain,
( ~ spl17_13
| ~ spl17_15
| ~ spl17_10
| ~ spl17_2 ),
inference(rat,[],[s3944,s2140,s6985,s2195,s1670,s3567,s1285,s44,s42,s8832,s8844,s300,s8783]) ).
cnf(s8877,plain,
( spl17_9
| spl17_1 ),
inference(rat,[],[s1917,s21,s8875,s8876,s8874,s8873,s8871,s1224,s44,s42,s17,s40,s4,s8832,s8844]) ).
cnf(s8878,plain,
( ~ spl17_16
| spl17_1 ),
inference(rat,[],[s894,s77,s7698,s32,s5591,s891,s819,s12,s63,s5580,s5745,s1224,s17,s40,s4,s608,s8877,s8816,s8815,s244]) ).
cnf(s8879,plain,
( spl17_15
| spl17_1 ),
inference(rat,[],[s13,s54,s8877,s8878]) ).
cnf(s8880,plain,
( spl17_13
| spl17_12
| spl17_1 ),
inference(rat,[],[s894,s77,s62,s28,s15,s5591,s571,s819,s12,s8877,s8879]) ).
cnf(s8881,plain,
( ~ spl17_13
| spl17_1 ),
inference(rat,[],[s6985,s3589,s1670,s3567,s1285,s44,s42,s4,s28,s152,s5591,s824,s8879,s608,s8877,s8832,s8844,s300,s8783]) ).
cnf(s8882,plain,
spl17_1,
inference(rat,[],[s144,s6610,s133,s8880,s877,s4203,s8881,s77,s5591,s28,s152,s824,s8879,s608,s8877,s8782]) ).
cnf(s8887,plain,
( spl17_40
| spl17_22
| spl17_13
| spl17_12
| ~ spl17_11
| ~ spl17_42
| ~ spl17_16
| ~ spl17_14 ),
inference(rat,[],[s16,s7768,s8882]) ).
cnf(s8888,plain,
( spl17_43
| ~ spl17_42
| spl17_13
| spl17_12
| ~ spl17_32
| ~ spl17_16
| ~ spl17_11 ),
inference(rat,[],[s8887,s566,s969,s12,s6605,s8882]) ).
cnf(s8889,plain,
( ~ spl17_42
| spl17_13
| spl17_12
| ~ spl17_32
| ~ spl17_16
| ~ spl17_11 ),
inference(rat,[],[s72,s961,s8828,s8888,s7687,s12,s8882]) ).
cnf(s8890,plain,
( spl17_13
| spl17_12
| ~ spl17_32
| ~ spl17_16
| ~ spl17_11 ),
inference(rat,[],[s894,s7692,s77,s8889,s12]) ).
cnf(s8891,plain,
( ~ spl17_13
| spl17_19
| spl17_18 ),
inference(rat,[],[s48,s82,s5338,s8882]) ).
cnf(s8892,plain,
( ~ spl17_12
| spl17_19 ),
inference(rat,[],[s48,s85,s4186,s8882]) ).
cnf(s8893,plain,
( ~ spl17_16
| spl17_10
| spl17_9 ),
inference(rat,[],[s8892,s8890,s8891,s36,s63,s86,s6798,s11]) ).
cnf(s8894,plain,
( spl17_43
| ~ spl17_50
| spl17_10
| spl17_15
| spl17_9 ),
inference(rat,[],[s16,s150,s566,s4228,s11,s13,s8893,s8882]) ).
cnf(s8895,plain,
( ~ spl17_43
| spl17_16
| spl17_15 ),
inference(rat,[],[s72,s4193,s8828,s13,s8882]) ).
cnf(s8896,plain,
( spl17_10
| spl17_15
| spl17_9 ),
inference(rat,[],[s8894,s4501,s8895,s13,s8893,s11]) ).
cnf(s8897,plain,
( spl17_32
| spl17_18
| ~ spl17_16
| ~ spl17_10 ),
inference(rat,[],[s131,s32]) ).
cnf(s8898,plain,
( ~ spl17_11
| ~ spl17_32
| ~ spl17_16
| ~ spl17_10 ),
inference(rat,[],[s8890,s57,s5580,s619,s5759,s6605,s3995,s5544,s77,s115,s8816,s8815,s244,s8882]) ).
cnf(s8899,plain,
( ~ spl17_16
| ~ spl17_10
| spl17_9 ),
inference(rat,[],[s16,s3154,s5504,s3163,s12,s5528,s571,s5518,s5338,s48,s112,s8898,s2261,s77,s8897,s86,s115,s8775,s8832,s8882]) ).
cnf(s8900,plain,
( spl17_15
| spl17_9 ),
inference(rat,[],[s13,s6618,s8899,s115,s8896]) ).
cnf(s8901,plain,
( spl17_43
| ~ spl17_42
| ~ spl17_255
| ~ spl17_32
| ~ spl17_11 ),
inference(rat,[],[s16,s727,s566,s969,s6605,s8882]) ).
cnf(s8902,plain,
( ~ spl17_42
| ~ spl17_11
| ~ spl17_255
| ~ spl17_32 ),
inference(rat,[],[s72,s961,s8828,s8901,s8882]) ).
cnf(s8903,plain,
( spl17_10
| spl17_9 ),
inference(rat,[],[s894,s7692,s77,s8902,s707,s12,s8892,s8891,s28,s152,s824,s11,s8900]) ).
cnf(s8904,plain,
( spl17_25
| ~ spl17_50
| ~ spl17_10 ),
inference(rat,[],[s3675,s5537,s5376,s48,s8882]) ).
cnf(s8905,plain,
( ~ spl17_50
| spl17_9 ),
inference(rat,[],[s8875,s538,s424,s8904,s8900,s8903,s8815,s244,s8814]) ).
cnf(s8906,plain,
( ~ spl17_11
| spl17_9 ),
inference(rat,[],[s4499,s3995,s8903,s8905]) ).
cnf(s8907,plain,
( ~ spl17_32
| ~ spl17_13
| spl17_9 ),
inference(rat,[],[s48,s112,s5338,s2261,s3959,s77,s620,s115,s8903,s8906,s8882]) ).
cnf(s8908,plain,
( ~ spl17_13
| spl17_9 ),
inference(rat,[],[s16,s3154,s1249,s3163,s5528,s4146,s3675,s5537,s48,s82,s131,s8907,s515,s8900,s8903,s8775,s8832,s8882]) ).
cnf(s8909,plain,
( spl17_13
| ~ spl17_15
| ~ spl17_10 ),
inference(rat,[],[s16,s3154,s1249,s3163,s5528,s5518,s48,s130,s2524,s424,s8892,s8875,s8882,s8832,s8775]) ).
cnf(s8910,plain,
spl17_9,
inference(rat,[],[s8909,s8908,s8903,s8900]) ).
cnf(s8912,plain,
~ spl17_10,
inference(rat,[],[s608,s8910]) ).
cnf(s8913,plain,
( ~ spl17_32
| spl17_42
| ~ spl17_14 ),
inference(rat,[],[s894,s7692,s77]) ).
cnf(s8914,plain,
( spl17_16
| spl17_15 ),
inference(rat,[],[s54,s13,s8910]) ).
cnf(s8915,plain,
( spl17_32
| spl17_18
| spl17_19 ),
inference(rat,[],[s8914,s28,s32]) ).
cnf(s8916,plain,
( spl17_13
| spl17_12 ),
inference(rat,[],[s8915,s8913,s5591,s571,s819,s12,s8910]) ).
cnf(s8917,plain,
( ~ spl17_16
| ~ spl17_13 ),
inference(rat,[],[s16,s5745,s2583,s5759,s5590,s48,s82,s63,s8882,s8910,s8912]) ).
cnf(s8918,plain,
~ spl17_13,
inference(rat,[],[s8891,s152,s824,s8914,s8917,s8912]) ).
cnf(s8919,plain,
spl17_12,
inference(rat,[],[s8916,s8918]) ).
cnf(s8920,plain,
spl17_19,
inference(rat,[],[s8892,s8919]) ).
cnf(s8929,plain,
~ spl17_15,
inference(rat,[],[s152,s8912,s8920]) ).
cnf(s8930,plain,
~ spl17_16,
inference(rat,[],[s63,s8912,s8920]) ).
cnf(s8936,plain,
$false,
inference(rat,[],[s8914,s8929,s8930]) ).
fof(f319440,plain,
$false,
inference(avatar_sat_refutation,[],[s8936]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWW096+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.17 % Computer : n026.cluster.edu
% 0.06/0.17 % Model : x86_64 x86_64
% 0.06/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.17 % Memory : 8046.5625MB
% 0.06/0.17 % OS : Linux 6.8.0-71-generic
% 0.06/0.17 % CPULimit : 300
% 0.06/0.17 % WCLimit : 300
% 0.06/0.17 % DateTime : Mon Sep 28 13:14:57 UTC 2026
% 0.06/0.17 % CPUTime :
% 0.06/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.21 Running first-order theorem proving
% 0.06/0.21 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
% 10.12/2.08 % (3843436)Detected formulas, will run a generic FOF schedule.
% 10.12/2.08 % (3843445)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=879089364:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 10.12/2.08 % (3843445)Instruction limit reached!
% 10.12/2.08 % (3843445)------------------------------
% 10.12/2.08 % (3843445)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.12/2.08 % (3843445)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.12/2.08 % (3843445)CaDiCaL version: 2.1.3
% 10.12/2.08 % (3843445)Termination reason: Instruction limit
% 10.12/2.08 % (3843445)Termination phase: Saturation
% 10.12/2.08 % (3843445)Time elapsed: 0.035 s
% 10.12/2.08 % (3843445)Peak memory usage: 88 MB
% 10.12/2.08 % (3843445)Instructions burned: 122 (million)
% 10.12/2.08 % (3843443)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=558528290:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 10.12/2.08 % (3843444)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4286704048:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 10.12/2.08 % (3843442)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=1707659322:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 10.12/2.08 % (3843441)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=4124633149:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 10.12/2.08 % (3843444)Refutation not found, incomplete strategy
% 10.12/2.08 % (3843444)------------------------------
% 10.12/2.08 % (3843444)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.12/2.08 % (3843444)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.12/2.08 % (3843444)CaDiCaL version: 2.1.3
% 10.12/2.08 % (3843444)Termination reason: Refutation not found, incomplete strategy
% 10.12/2.08 % (3843444)Time elapsed: 0.002 s
% 10.12/2.08 % (3843444)Peak memory usage: 88 MB
% 10.12/2.08 % (3843444)Instructions burned: 1 (million)
% 10.12/2.08 % (3843446)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2259623756:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 10.12/2.08 % (3843447)dis-21_1_sil=8000:lcm=predicate:random_seed=4025105528: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)
% 10.12/2.08 % (3843447)Refutation not found, incomplete strategy
% 10.12/2.08 % (3843447)------------------------------
% 10.12/2.08 % (3843447)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.12/2.08 % (3843447)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.12/2.08 % (3843447)CaDiCaL version: 2.1.3
% 10.12/2.08 % (3843447)Termination reason: Refutation not found, incomplete strategy
% 10.12/2.08 % (3843447)Time elapsed: 0.004 s
% 10.12/2.08 % (3843447)Peak memory usage: 88 MB
% 10.12/2.08 % (3843447)Instructions burned: 5 (million)
% 10.12/2.08 % (3843449)lrs+10_1_sil=8000:sp=occurrence:random_seed=4181097366:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 10.12/2.08 % (3843446)Instruction limit reached!
% 10.12/2.09 % (3843446)------------------------------
% 10.12/2.09 % (3843446)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.12/2.09 % (3843446)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.12/2.09 % (3843446)CaDiCaL version: 2.1.3
% 10.12/2.09 % (3843446)Termination reason: Instruction limit
% 10.12/2.09 % (3843446)Termination phase: Saturation
% 10.12/2.09 % (3843446)Time elapsed: 0.092 s
% 10.12/2.09 % (3843446)Peak memory usage: 89 MB
% 10.12/2.09 % (3843446)Instructions burned: 139 (million)
% 10.12/2.09 % (3843449)Instruction limit reached!
% 10.12/2.09 % (3843449)------------------------------
% 10.12/2.09 % (3843449)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.12/2.09 % (3843449)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.12/2.09 % (3843449)CaDiCaL version: 2.1.3
% 10.12/2.09 % (3843449)Termination reason: Instruction limit
% 10.12/2.09 % (3843449)Termination phase: Saturation
% 10.12/2.09 % (3843449)Time elapsed: 0.081 s
% 10.12/2.09 % (3843449)Peak memory usage: 90 MB
% 10.12/2.09 % (3843449)Instructions burned: 286 (million)
% 10.12/2.09 % (3843457)lrs+10_1_sil=32000:urr=on:br=off:random_seed=792943865:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 12.29/2.47 % (3843444)------------------------------
% 12.29/2.47 % (3843444)------------------------------
% 12.29/2.47 % (3843457)Refutation not found, incomplete strategy
% 12.29/2.47 % (3843457)------------------------------
% 12.29/2.47 % (3843457)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.29/2.47 % (3843457)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.29/2.47 % (3843457)CaDiCaL version: 2.1.3
% 12.29/2.47 % (3843457)Termination reason: Refutation not found, incomplete strategy
% 12.29/2.47 % (3843457)Time elapsed: 0.002 s
% 12.29/2.47 % (3843457)Peak memory usage: 88 MB
% 12.29/2.47 % (3843457)Instructions burned: 1 (million)
% 12.29/2.47 % (3843458)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3909466276:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 12.29/2.47 % (3843458)Refutation not found, incomplete strategy
% 12.29/2.47 % (3843458)------------------------------
% 12.29/2.47 % (3843458)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.29/2.47 % (3843458)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.29/2.47 % (3843458)CaDiCaL version: 2.1.3
% 12.29/2.47 % (3843458)Termination reason: Refutation not found, incomplete strategy
% 12.29/2.47 % (3843458)Time elapsed: 0.0000 s
% 12.29/2.47 % (3843458)Peak memory usage: 88 MB
% 12.29/2.47 % (3843447)------------------------------
% 12.29/2.47 % (3843447)------------------------------
% 12.29/2.47 % (3843462)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=836427755:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 12.29/2.47 % (3843461)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=3833013523:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 12.29/2.47 % (3843458)------------------------------
% 12.29/2.47 % (3843458)------------------------------
% 12.29/2.47 % (3843465)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=180945958:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 12.29/2.47 % (3843457)------------------------------
% 12.29/2.47 % (3843457)------------------------------
% 12.29/2.47 % (3843461)Instruction limit reached!
% 12.29/2.47 % (3843461)------------------------------
% 12.29/2.47 % (3843461)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.29/2.47 % (3843461)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.29/2.47 % (3843461)CaDiCaL version: 2.1.3
% 12.29/2.47 % (3843461)Termination reason: Instruction limit
% 12.29/2.47 % (3843461)Termination phase: Saturation
% 12.29/2.47 % (3843461)Time elapsed: 0.160 s
% 12.29/2.47 % (3843461)Peak memory usage: 93 MB
% 12.29/2.47 % (3843461)Instructions burned: 248 (million)
% 12.29/2.47 % (3843462)Instruction limit reached!
% 12.29/2.47 % (3843462)------------------------------
% 12.29/2.47 % (3843462)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.29/2.47 % (3843462)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.29/2.47 % (3843462)CaDiCaL version: 2.1.3
% 12.29/2.47 % (3843462)Termination reason: Instruction limit
% 12.29/2.47 % (3843462)Termination phase: Saturation
% 12.29/2.47 % (3843462)Time elapsed: 0.182 s
% 12.29/2.47 % (3843462)Peak memory usage: 90 MB
% 12.29/2.47 % (3843462)Instructions burned: 294 (million)
% 12.29/2.47 % (3843443)Refutation not found, incomplete strategy
% 12.29/2.47 % (3843443)------------------------------
% 12.29/2.47 % (3843443)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.29/2.47 % (3843443)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.29/2.47 % (3843443)CaDiCaL version: 2.1.3
% 12.29/2.47 % (3843443)Termination reason: Refutation not found, incomplete strategy
% 12.29/2.47 % (3843443)Time elapsed: 0.596 s
% 12.29/2.47 % (3843443)Peak memory usage: 127 MB
% 12.29/2.47 % (3843443)Instructions burned: 883 (million)
% 12.29/2.47 % (3843467)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3458890574:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 12.29/2.47 % (3843468)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3600693554:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 12.29/2.47 % (3843468)Refutation not found, incomplete strategy
% 12.29/2.47 % (3843468)------------------------------
% 23.26/3.91 % (3843468)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.26/3.91 % (3843468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.26/3.91 % (3843468)CaDiCaL version: 2.1.3
% 23.26/3.91 % (3843468)Termination reason: Refutation not found, incomplete strategy
% 23.26/3.91 % (3843468)Time elapsed: 0.002 s
% 23.26/3.91 % (3843468)Peak memory usage: 88 MB
% 23.26/3.91 % (3843468)Instructions burned: 2 (million)
% 23.26/3.91 % (3843467)Instruction limit reached!
% 23.26/3.91 % (3843467)------------------------------
% 23.26/3.91 % (3843467)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.26/3.91 % (3843467)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.26/3.91 % (3843467)CaDiCaL version: 2.1.3
% 23.26/3.91 % (3843467)Termination reason: Instruction limit
% 23.26/3.91 % (3843467)Termination phase: Saturation
% 23.26/3.91 % (3843467)Time elapsed: 0.073 s
% 23.26/3.91 % (3843467)Peak memory usage: 90 MB
% 23.26/3.91 % (3843467)Instructions burned: 114 (million)
% 23.26/3.91 % (3843469)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2029835239:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 23.26/3.91 % (3843469)Instruction limit reached!
% 23.26/3.91 % (3843469)------------------------------
% 23.26/3.91 % (3843469)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.26/3.91 % (3843469)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.26/3.91 % (3843469)CaDiCaL version: 2.1.3
% 23.26/3.91 % (3843469)Termination reason: Instruction limit
% 23.26/3.91 % (3843469)Termination phase: Saturation
% 23.26/3.91 % (3843469)Time elapsed: 0.057 s
% 23.26/3.91 % (3843469)Peak memory usage: 88 MB
% 23.26/3.91 % (3843469)Instructions burned: 114 (million)
% 23.26/3.91 % (3843472)lrs+10_1_sil=8000:sp=occurrence:random_seed=2320584504:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 23.26/3.91 % (3843443)------------------------------
% 23.26/3.91 % (3843443)------------------------------
% 23.26/3.91 % (3843474)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2890877618:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 23.26/3.91 % (3843474)Refutation not found, incomplete strategy
% 23.26/3.91 % (3843474)------------------------------
% 23.26/3.91 % (3843474)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.26/3.91 % (3843474)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.26/3.91 % (3843474)CaDiCaL version: 2.1.3
% 23.26/3.91 % (3843474)Termination reason: Refutation not found, incomplete strategy
% 23.26/3.91 % (3843474)Time elapsed: 0.001 s
% 23.26/3.91 % (3843474)Peak memory usage: 88 MB
% 23.26/3.91 % (3843468)------------------------------
% 23.26/3.91 % (3843468)------------------------------
% 23.26/3.91 % (3843476)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=813786518:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 23.26/3.91 % (3843478)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1789582430:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2989 on theBenchmark for (2989ds/134Mi)
% 23.26/3.91 % (3843478)Refutation not found, incomplete strategy
% 23.26/3.91 % (3843478)------------------------------
% 23.26/3.91 % (3843478)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.26/3.91 % (3843478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.26/3.91 % (3843478)CaDiCaL version: 2.1.3
% 23.26/3.91 % (3843478)Termination reason: Refutation not found, incomplete strategy
% 23.26/3.91 % (3843478)Time elapsed: 0.002 s
% 23.26/3.91 % (3843478)Peak memory usage: 89 MB
% 23.26/3.91 % (3843478)Instructions burned: 1 (million)
% 23.26/3.91 % (3843474)------------------------------
% 23.26/3.91 % (3843474)------------------------------
% 23.26/3.91 % (3843465)Instruction limit reached!
% 23.26/3.91 % (3843465)------------------------------
% 23.26/3.91 % (3843465)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.26/3.91 % (3843465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.26/3.91 % (3843465)CaDiCaL version: 2.1.3
% 23.26/3.91 % (3843465)Termination reason: Instruction limit
% 23.26/3.91 % (3843465)Termination phase: Saturation
% 23.26/3.91 % (3843465)Time elapsed: 0.774 s
% 23.26/3.91 % (3843465)Peak memory usage: 139 MB
% 23.26/3.91 % (3843465)Instructions burned: 2350 (million)
% 23.26/3.91 % (3843481)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2508908623:st=8:i=592:sd=3:ep=RST:ss=axioms_2987 on theBenchmark for (2987ds/592Mi)
% 40.39/6.36 % (3843478)------------------------------
% 40.39/6.36 % (3843478)------------------------------
% 40.39/6.36 % (3843472)Instruction limit reached!
% 40.39/6.36 % (3843472)------------------------------
% 40.39/6.36 % (3843472)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.39/6.36 % (3843472)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.39/6.36 % (3843472)CaDiCaL version: 2.1.3
% 40.39/6.36 % (3843472)Termination reason: Instruction limit
% 40.39/6.36 % (3843472)Termination phase: Saturation
% 40.39/6.36 % (3843472)Time elapsed: 0.471 s
% 40.39/6.36 % (3843472)Peak memory usage: 96 MB
% 40.39/6.36 % (3843472)Instructions burned: 907 (million)
% 40.39/6.36 % (3843482)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3010116116:st=3:i=13193:sd=3:ss=axioms_2985 on theBenchmark for (2985ds/13193Mi)
% 40.39/6.36 % (3843484)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=449498441:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2985 on theBenchmark for (2985ds/125Mi)
% 40.39/6.36 % (3843485)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=314349125:i=134:gtgl=5:slsql=off:gtg=exists_sym_2985 on theBenchmark for (2985ds/134Mi)
% 40.39/6.36 % (3843485)Instruction limit reached!
% 40.39/6.36 % (3843485)------------------------------
% 40.39/6.36 % (3843485)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.39/6.36 % (3843485)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.39/6.36 % (3843485)CaDiCaL version: 2.1.3
% 40.39/6.36 % (3843485)Termination reason: Instruction limit
% 40.39/6.36 % (3843485)Termination phase: Saturation
% 40.39/6.36 % (3843485)Time elapsed: 0.077 s
% 40.39/6.36 % (3843485)Peak memory usage: 89 MB
% 40.39/6.36 % (3843485)Instructions burned: 135 (million)
% 40.39/6.36 % (3843484)Instruction limit reached!
% 40.39/6.36 % (3843484)------------------------------
% 40.39/6.36 % (3843484)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.39/6.36 % (3843484)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.39/6.36 % (3843484)CaDiCaL version: 2.1.3
% 40.39/6.36 % (3843484)Termination reason: Instruction limit
% 40.39/6.36 % (3843484)Termination phase: Saturation
% 40.39/6.36 % (3843484)Time elapsed: 0.087 s
% 40.39/6.36 % (3843484)Peak memory usage: 90 MB
% 40.39/6.36 % (3843484)Instructions burned: 125 (million)
% 40.39/6.36 % (3843489)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2820517963:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2983 on theBenchmark for (2983ds/141Mi)
% 40.39/6.36 % (3843489)Refutation not found, incomplete strategy
% 40.39/6.36 % (3843489)------------------------------
% 40.39/6.36 % (3843489)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.39/6.36 % (3843489)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.39/6.36 % (3843489)CaDiCaL version: 2.1.3
% 40.39/6.36 % (3843489)Termination reason: Refutation not found, incomplete strategy
% 40.39/6.36 % (3843489)Time elapsed: 0.001 s
% 40.39/6.36 % (3843489)Peak memory usage: 88 MB
% 40.39/6.36 % (3843490)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=1796492789:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2983 on theBenchmark for (2983ds/431Mi)
% 40.39/6.36 % (3843490)Refutation not found, incomplete strategy
% 40.39/6.36 % (3843490)------------------------------
% 40.39/6.36 % (3843490)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.39/6.36 % (3843490)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.39/6.36 % (3843490)CaDiCaL version: 2.1.3
% 40.39/6.36 % (3843490)Termination reason: Refutation not found, incomplete strategy
% 40.39/6.36 % (3843490)Time elapsed: 0.003 s
% 40.39/6.36 % (3843490)Peak memory usage: 88 MB
% 40.39/6.36 % (3843490)Instructions burned: 3 (million)
% 40.39/6.36 % (3843481)Instruction limit reached!
% 40.39/6.36 % (3843481)------------------------------
% 40.39/6.36 % (3843481)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.39/6.36 % (3843481)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.39/6.36 % (3843481)CaDiCaL version: 2.1.3
% 40.39/6.36 % (3843481)Termination reason: Instruction limit
% 40.39/6.36 % (3843481)Termination phase: Saturation
% 40.39/6.36 % (3843481)Time elapsed: 0.388 s
% 40.39/6.36 % (3843481)Peak memory usage: 96 MB
% 52.68/8.12 % (3843481)Instructions burned: 593 (million)
% 52.68/8.12 % (3843493)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=395497309:i=6060:aac=none:ins=25_2981 on theBenchmark for (2981ds/6060Mi)
% 52.68/8.12 % (3843489)------------------------------
% 52.68/8.12 % (3843489)------------------------------
% 52.68/8.12 % (3843490)------------------------------
% 52.68/8.12 % (3843490)------------------------------
% 52.68/8.12 % (3843496)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=2979947972:i=14155:bd=all_2979 on theBenchmark for (2979ds/14155Mi)
% 52.68/8.12 % (3843495)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=942583687:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2979 on theBenchmark for (2979ds/150Mi)
% 52.68/8.12 % (3843495)Instruction limit reached!
% 52.68/8.12 % (3843495)------------------------------
% 52.68/8.12 % (3843495)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 52.68/8.12 % (3843495)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.68/8.12 % (3843495)CaDiCaL version: 2.1.3
% 52.68/8.12 % (3843495)Termination reason: Instruction limit
% 52.68/8.12 % (3843495)Termination phase: Saturation
% 52.68/8.12 % (3843495)Time elapsed: 0.096 s
% 52.68/8.12 % (3843495)Peak memory usage: 90 MB
% 52.68/8.12 % (3843495)Instructions burned: 151 (million)
% 52.68/8.12 % (3843499)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=4144632156:i=667:av=off:fsr=off_2977 on theBenchmark for (2977ds/667Mi)
% 52.68/8.12 % (3843499)Refutation not found, incomplete strategy
% 52.68/8.12 % (3843499)------------------------------
% 52.68/8.12 % (3843499)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 52.68/8.12 % (3843499)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.68/8.12 % (3843499)CaDiCaL version: 2.1.3
% 52.68/8.12 % (3843499)Termination reason: Refutation not found, incomplete strategy
% 52.68/8.12 % (3843499)Time elapsed: 0.003 s
% 52.68/8.12 % (3843499)Peak memory usage: 88 MB
% 52.68/8.12 % (3843499)Instructions burned: 3 (million)
% 52.68/8.12 % (3843499)------------------------------
% 52.68/8.12 % (3843499)------------------------------
% 52.68/8.12 % (3843501)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=920523117:s2a=on:i=185:s2at=1.8:fdi=4_2973 on theBenchmark for (2973ds/185Mi)
% 52.68/8.12 % (3843501)Instruction limit reached!
% 52.68/8.12 % (3843501)------------------------------
% 52.68/8.12 % (3843501)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 52.68/8.12 % (3843501)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.68/8.12 % (3843501)CaDiCaL version: 2.1.3
% 52.68/8.12 % (3843501)Termination reason: Instruction limit
% 52.68/8.12 % (3843501)Termination phase: Saturation
% 52.68/8.12 % (3843501)Time elapsed: 0.112 s
% 52.68/8.12 % (3843501)Peak memory usage: 92 MB
% 52.68/8.12 % (3843501)Instructions burned: 186 (million)
% 52.68/8.12 % (3843503)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=723856856:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2971 on theBenchmark for (2971ds/193Mi)
% 52.68/8.12 % (3843503)Instruction limit reached!
% 52.68/8.12 % (3843503)------------------------------
% 52.68/8.12 % (3843503)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 52.68/8.12 % (3843503)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.68/8.12 % (3843503)CaDiCaL version: 2.1.3
% 52.68/8.12 % (3843503)Termination reason: Instruction limit
% 52.68/8.12 % (3843503)Termination phase: Saturation
% 52.68/8.12 % (3843503)Time elapsed: 0.127 s
% 52.68/8.12 % (3843503)Peak memory usage: 90 MB
% 52.68/8.12 % (3843503)Instructions burned: 193 (million)
% 52.68/8.12 % (3843505)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=3881259348:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2968 on theBenchmark for (2968ds/4850Mi)
% 52.68/8.12 % (3843505)Refutation not found, incomplete strategy
% 52.68/8.12 % (3843505)------------------------------
% 52.68/8.12 % (3843505)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 52.68/8.12 % (3843505)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 70.69/10.61 % (3843505)CaDiCaL version: 2.1.3
% 70.69/10.61 % (3843505)Termination reason: Refutation not found, incomplete strategy
% 70.69/10.61 % (3843505)Time elapsed: 0.002 s
% 70.69/10.61 % (3843505)Peak memory usage: 88 MB
% 70.69/10.61 % (3843505)Instructions burned: 2 (million)
% 70.69/10.61 % (3843505)------------------------------
% 70.69/10.61 % (3843505)------------------------------
% 70.69/10.61 % (3843507)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=4258653613:i=12111:sd=1:ss=included_2964 on theBenchmark for (2964ds/12111Mi)
% 70.69/10.61 % (3843507)Refutation not found, incomplete strategy
% 70.69/10.61 % (3843507)------------------------------
% 70.69/10.61 % (3843507)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 70.69/10.61 % (3843507)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 70.69/10.61 % (3843507)CaDiCaL version: 2.1.3
% 70.69/10.61 % (3843507)Termination reason: Refutation not found, incomplete strategy
% 70.69/10.61 % (3843507)Time elapsed: 0.566 s
% 70.69/10.61 % (3843507)Peak memory usage: 128 MB
% 70.69/10.61 % (3843507)Instructions burned: 858 (million)
% 70.69/10.61 % (3843476)Instruction limit reached!
% 70.69/10.61 % (3843476)------------------------------
% 70.69/10.61 % (3843476)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 70.69/10.61 % (3843476)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 70.69/10.61 % (3843476)CaDiCaL version: 2.1.3
% 70.69/10.61 % (3843476)Termination reason: Instruction limit
% 70.69/10.61 % (3843476)Termination phase: Saturation
% 70.69/10.61 % (3843476)Time elapsed: 3.132 s
% 70.69/10.61 % (3843476)Peak memory usage: 165 MB
% 70.69/10.61 % (3843476)Instructions burned: 5203 (million)
% 70.69/10.61 % (3843509)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=2202909776:i=319:kws=precedence:fsr=off_2957 on theBenchmark for (2957ds/319Mi)
% 70.69/10.61 % (3843507)------------------------------
% 70.69/10.61 % (3843507)------------------------------
% 70.69/10.61 % (3843511)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=3026876949:i=2064:ep=RST_2955 on theBenchmark for (2955ds/2064Mi)
% 70.69/10.61 % (3843509)Instruction limit reached!
% 70.69/10.61 % (3843509)------------------------------
% 70.69/10.61 % (3843509)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 70.69/10.61 % (3843509)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 70.69/10.61 % (3843509)CaDiCaL version: 2.1.3
% 70.69/10.61 % (3843509)Termination reason: Instruction limit
% 70.69/10.61 % (3843509)Termination phase: Saturation
% 70.69/10.61 % (3843509)Time elapsed: 0.181 s
% 70.69/10.61 % (3843509)Peak memory usage: 92 MB
% 70.69/10.61 % (3843509)Instructions burned: 319 (million)
% 70.69/10.61 % (3843513)dis-1011_128_sil=32000:random_seed=1619219366:i=3706:ep=RST:av=off_2953 on theBenchmark for (2953ds/3706Mi)
% 70.69/10.61 % (3843482)Instruction limit reached!
% 70.69/10.61 % (3843482)------------------------------
% 70.69/10.61 % (3843482)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 70.69/10.61 % (3843482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 70.69/10.61 % (3843482)CaDiCaL version: 2.1.3
% 70.69/10.61 % (3843482)Termination reason: Instruction limit
% 70.69/10.61 % (3843482)Termination phase: Saturation
% 70.69/10.61 % (3843482)Time elapsed: 3.367 s
% 70.69/10.61 % (3843482)Peak memory usage: 162 MB
% 70.69/10.61 % (3843482)Instructions burned: 13195 (million)
% 70.69/10.61 % (3843515)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=395107564:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2951 on theBenchmark for (2951ds/757Mi)
% 70.69/10.61 % (3843515)Refutation not found, incomplete strategy
% 70.69/10.61 % (3843515)------------------------------
% 70.69/10.61 % (3843515)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 70.69/10.61 % (3843515)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 70.69/10.61 % (3843515)CaDiCaL version: 2.1.3
% 70.69/10.61 % (3843515)Termination reason: Refutation not found, incomplete strategy
% 70.69/10.61 % (3843515)Time elapsed: 0.004 s
% 70.69/10.61 % (3843515)Peak memory usage: 89 MB
% 70.69/10.61 % (3843515)Instructions burned: 10 (million)
% 70.69/10.61 % (3843515)------------------------------
% 70.69/10.61 % (3843515)------------------------------
% 70.69/10.61 % (3843517)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=occurrence:random_seed=1281328094:i=13913:ss=axioms:sgt=8_2948 on theBenchmark for (2948ds/13913Mi)
% 70.69/10.61 % (3843493)Instruction limit reached!
% 64.85/12.40 % (3843493)------------------------------
% 64.85/12.40 % (3843493)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 64.85/12.40 % (3843493)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.85/12.40 % (3843493)CaDiCaL version: 2.1.3
% 64.85/12.40 % (3843493)Termination reason: Instruction limit
% 64.85/12.40 % (3843493)Termination phase: Saturation
% 64.85/12.40 % (3843493)Time elapsed: 3.756 s
% 64.85/12.40 % (3843493)Peak memory usage: 164 MB
% 64.85/12.40 % (3843493)Instructions burned: 6061 (million)
% 64.85/12.40 % (3843511)Instruction limit reached!
% 64.85/12.40 % (3843511)------------------------------
% 64.85/12.40 % (3843511)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 64.85/12.40 % (3843511)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.85/12.40 % (3843511)CaDiCaL version: 2.1.3
% 64.85/12.40 % (3843511)Termination reason: Instruction limit
% 64.85/12.40 % (3843511)Termination phase: Saturation
% 64.85/12.40 % (3843511)Time elapsed: 1.259 s
% 64.85/12.40 % (3843511)Peak memory usage: 113 MB
% 64.85/12.40 % (3843511)Instructions burned: 2065 (million)
% 64.85/12.40 % (3843519)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=const_frequency:sos=all:lma=off:random_seed=3093672561:i=9925:aac=none_2942 on theBenchmark for (2942ds/9925Mi)
% 64.85/12.40 % (3843521)dis-1010_50_to=lpo:sil=32000:sp=arity:sos=on:spb=goal_then_units:urr=ec_only:slsq=on:random_seed=1642780899:i=2479:sd=2:nm=16:fsr=off:ss=axioms_2941 on theBenchmark for (2941ds/2479Mi)
% 64.85/12.40 % (3843521)Refutation not found, incomplete strategy
% 64.85/12.40 % (3843521)------------------------------
% 64.85/12.40 % (3843521)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 64.85/12.40 % (3843521)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.85/12.40 % (3843521)CaDiCaL version: 2.1.3
% 64.85/12.40 % (3843521)Termination reason: Refutation not found, incomplete strategy
% 64.85/12.40 % (3843521)Time elapsed: 0.002 s
% 64.85/12.40 % (3843521)Peak memory usage: 88 MB
% 64.85/12.40 % (3843521)Instructions burned: 1 (million)
% 64.85/12.40 % (3843521)------------------------------
% 64.85/12.40 % (3843521)------------------------------
% 64.85/12.40 % (3843523)ott+1002_64_sil=16000:sp=const_min:nwc=0.5:random_seed=3273871950:i=440:nm=2:av=off:gtg=exists_all:fdi=8:gsp=on_2937 on theBenchmark for (2937ds/440Mi)
% 64.85/12.40 % (3843523)Instruction limit reached!
% 64.85/12.40 % (3843523)------------------------------
% 64.85/12.40 % (3843523)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 64.85/12.40 % (3843523)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.85/12.40 % (3843523)CaDiCaL version: 2.1.3
% 64.85/12.40 % (3843523)Termination reason: Instruction limit
% 64.85/12.40 % (3843523)Termination phase: Saturation
% 64.85/12.40 % (3843523)Time elapsed: 0.204 s
% 64.85/12.40 % (3843523)Peak memory usage: 93 MB
% 64.85/12.40 % (3843523)Instructions burned: 440 (million)
% 64.85/12.40 % (3843525)dis-1011_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:erd=off:lsd=100:bsr=unit_only:random_seed=3033822511:st=1.5:i=11145:s2at=3:sd=3:fsr=off:ss=axioms_2934 on theBenchmark for (2934ds/11145Mi)
% 64.85/12.40 % (3843513)Instruction limit reached!
% 64.85/12.40 % (3843513)------------------------------
% 64.85/12.40 % (3843513)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 64.85/12.40 % (3843513)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.85/12.40 % (3843513)CaDiCaL version: 2.1.3
% 64.85/12.40 % (3843513)Termination reason: Instruction limit
% 64.85/12.40 % (3843513)Termination phase: Saturation
% 64.85/12.40 % (3843513)Time elapsed: 2.267 s
% 64.85/12.40 % (3843513)Peak memory usage: 107 MB
% 64.85/12.40 % (3843513)Instructions burned: 3706 (million)
% 64.85/12.40 % (3843527)lrs+1002_1_to=lpo:ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=unary_frequency:lcm=reverse:urr=on:bsr=on:random_seed=1366228664:cts=off:i=3034:av=off:er=known:fsd=on_2929 on theBenchmark for (2929ds/3034Mi)
% 64.85/12.40 % (3843525)Refutation not found, incomplete strategy
% 64.85/12.40 % (3843525)------------------------------
% 64.85/12.40 % (3843525)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 64.85/12.40 % (3843525)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.85/12.40 % (3843525)CaDiCaL version: 2.1.3
% 64.85/12.40 % (3843525)Termination reason: Refutation not found, incomplete strategy
% 64.85/12.40 % (3843525)Time elapsed: 0.790 s
% 64.85/12.40 % (3843525)Peak memory usage: 130 MB
% 64.85/12.40 % (3843525)Instructions burned: 1286 (million)
% 64.85/12.40 % (3843525)------------------------------
% 64.85/12.40 % (3843525)------------------------------
% 64.85/12.40 % (3843529)lrs-1011_64:1_sil=8000:erd=off:urr=on:nwc=0.7:br=off:random_seed=2613773861:st=2:s2a=on:i=524:s2at=2:ss=axioms_2922 on theBenchmark for (2922ds/524Mi)
% 64.85/12.40 % (3843529)Refutation not found, incomplete strategy
% 64.85/12.40 % (3843529)------------------------------
% 64.85/12.40 % (3843529)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 64.85/12.40 % (3843529)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.85/12.40 % (3843529)CaDiCaL version: 2.1.3
% 64.85/12.40 % (3843529)Termination reason: Refutation not found, incomplete strategy
% 64.85/12.40 % (3843529)Time elapsed: 0.021 s
% 64.85/12.40 % (3843529)Peak memory usage: 89 MB
% 64.85/12.40 % (3843529)Instructions burned: 33 (million)
% 64.85/12.40 % (3843529)------------------------------
% 64.85/12.40 % (3843529)------------------------------
% 64.85/12.40 % (3843531)lrs+1011_16:1_sil=8000:acc=on:urr=on:fd=preordered:flr=on:random_seed=3999304378:avsq=on:i=1016:avsqr=676809,524288:sd=1:ss=axioms_2918 on theBenchmark for (2918ds/1016Mi)
% 64.85/12.40 % (3843531)Refutation not found, incomplete strategy
% 64.85/12.40 % (3843531)------------------------------
% 64.85/12.40 % (3843531)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 64.85/12.40 % (3843531)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.85/12.40 % (3843531)CaDiCaL version: 2.1.3
% 64.85/12.40 % (3843531)Termination reason: Refutation not found, incomplete strategy
% 64.85/12.40 % (3843531)Time elapsed: 0.002 s
% 64.85/12.40 % (3843531)Peak memory usage: 89 MB
% 64.85/12.40 % (3843531)------------------------------
% 64.85/12.40 % (3843531)------------------------------
% 64.85/12.40 % (3843533)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:drc=off:fde=none:s2agt=16:random_seed=4231181667:i=14123:bd=preordered:ins=4_2914 on theBenchmark for (2914ds/14123Mi)
% 64.85/12.40 % (3843527)Instruction limit reached!
% 64.85/12.40 % (3843527)------------------------------
% 64.85/12.40 % (3843527)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 64.85/12.40 % (3843527)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.85/12.40 % (3843527)CaDiCaL version: 2.1.3
% 64.85/12.40 % (3843527)Termination reason: Instruction limit
% 64.85/12.40 % (3843527)Termination phase: Saturation
% 64.85/12.40 % (3843527)Time elapsed: 1.782 s
% 64.85/12.40 % (3843527)Peak memory usage: 136 MB
% 64.85/12.40 % (3843527)Instructions burned: 3035 (million)
% 64.85/12.40 % (3843517)Instruction limit reached!
% 64.85/12.40 % (3843517)------------------------------
% 64.85/12.40 % (3843517)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 64.85/12.40 % (3843517)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.85/12.40 % (3843517)CaDiCaL version: 2.1.3
% 64.85/12.40 % (3843517)Termination reason: Instruction limit
% 64.85/12.40 % (3843517)Termination phase: Saturation
% 64.85/12.40 % (3843517)Time elapsed: 3.818 s
% 64.85/12.40 % (3843517)Peak memory usage: 196 MB
% 64.85/12.40 % (3843517)Instructions burned: 13917 (million)
% 64.85/12.40 % (3843535)dis+10_4096_slsqr=16,1:sil=32000:tgt=full:plsq=on:bsr=unit_only:slsqc=1:slsq=on:random_seed=2522465431:i=5781:kws=precedence:bd=all:rawr=on_2910 on theBenchmark for (2910ds/5781Mi)
% 64.85/12.40 % (3843536)lrs-1011_1_to=lpo:ncem=casc2026/models/loop7.pt:sil=64000:npcc=on:drc=off:sp=reverse_frequency:erd=off:urr=on:br=off:random_seed=197009169:i=2448:gtgl=5:bd=preordered:gtg=all_2909 on theBenchmark for (2909ds/2448Mi)
% 64.85/12.40 % (3843536)Refutation not found, incomplete strategy
% 64.85/12.40 % (3843536)------------------------------
% 64.85/12.40 % (3843536)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 64.85/12.40 % (3843536)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.85/12.40 % (3843536)CaDiCaL version: 2.1.3
% 64.85/12.40 % (3843536)Termination reason: Refutation not found, incomplete strategy
% 64.85/12.40 % (3843536)Time elapsed: 0.489 s
% 64.85/12.40 % (3843536)Peak memory usage: 131 MB
% 64.85/12.40 % (3843536)Instructions burned: 1233 (million)
% 64.85/12.40 % (3843536)------------------------------
% 64.85/12.40 % (3843536)------------------------------
% 64.85/12.40 % (3843539)lrs+1011_1_ncem=casc2026/models/loop5.pt:sil=32000:tgt=full:npcc=on:lcm=reverse:random_seed=4054107366:i=3223:kws=precedence:fgj=on:av=off_2902 on theBenchmark for (2902ds/3223Mi)
% 64.85/12.40 % (3843496)Instruction limit reached!
% 64.85/12.40 % (3843496)------------------------------
% 64.85/12.40 % (3843496)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 64.85/12.40 % (3843496)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.85/12.40 % (3843496)CaDiCaL version: 2.1.3
% 64.85/12.40 % (3843496)Termination reason: Instruction limit
% 64.85/12.40 % (3843496)Termination phase: Saturation
% 64.85/12.40 % (3843496)Time elapsed: 7.794 s
% 64.85/12.40 % (3843496)Peak memory usage: 176 MB
% 64.85/12.40 % (3843496)Instructions burned: 14157 (million)
% 64.85/12.40 % (3843541)lrs+1002_1_ncem=casc2026/models/loop4.pt:sil=8000:npcc=on:sp=occurrence:sos=on:random_seed=1042269679:st=5.6:i=2033:sd=3:ss=axioms_2900 on theBenchmark for (2900ds/2033Mi)
% 64.85/12.40 % (3843539)Instruction limit reached!
% 64.85/12.40 % (3843539)------------------------------
% 64.85/12.40 % (3843539)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 64.85/12.40 % (3843539)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.85/12.40 % (3843539)CaDiCaL version: 2.1.3
% 64.85/12.40 % (3843539)Termination reason: Instruction limit
% 64.85/12.40 % (3843539)Termination phase: Saturation
% 64.85/12.40 % (3843539)Time elapsed: 1.059 s
% 64.85/12.40 % (3843539)Peak memory usage: 144 MB
% 64.85/12.40 % (3843539)Instructions burned: 3224 (million)
% 64.85/12.40 % (3843543)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:bsd=on:random_seed=614780584:i=2055:nm=16:gtg=position:ss=axioms:fsd=on_2890 on theBenchmark for (2890ds/2055Mi)
% 64.85/12.40 % (3843519)Instruction limit reached!
% 64.85/12.40 % (3843519)------------------------------
% 64.85/12.40 % (3843519)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 64.85/12.40 % (3843519)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.85/12.40 % (3843519)CaDiCaL version: 2.1.3
% 64.85/12.40 % (3843519)Termination reason: Instruction limit
% 64.85/12.40 % (3843519)Termination phase: Saturation
% 64.85/12.40 % (3843519)Time elapsed: 5.177 s
% 64.85/12.40 % (3843519)Peak memory usage: 161 MB
% 64.85/12.40 % (3843519)Instructions burned: 9926 (million)
% 64.85/12.40 % (3843545)dis+1010_1_ncem=casc2026/models/loop7.pt:sil=64000:tgt=full:npcc=on:fde=unused:sp=const_frequency:spb=goal:acc=on:random_seed=1745735731:i=21611:sd=3:ss=axioms_2889 on theBenchmark for (2889ds/21611Mi)
% 64.85/12.40 % (3843441)First to succeed.
% 64.85/12.40 % (3843541)Instruction limit reached!
% 64.85/12.40 % (3843541)------------------------------
% 64.85/12.40 % (3843541)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 64.85/12.40 % (3843541)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.85/12.40 % (3843541)CaDiCaL version: 2.1.3
% 64.85/12.40 % (3843541)Termination reason: Instruction limit
% 64.85/12.40 % (3843541)Termination phase: Saturation
% 64.85/12.40 % (3843541)Time elapsed: 1.365 s
% 64.85/12.40 % (3843541)Peak memory usage: 139 MB
% 64.85/12.40 % (3843541)Instructions burned: 2033 (million)
% 64.85/12.40 % (3843441)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3843436"
% 64.85/12.40 % (3843547)lrs+10_1_sil=8000:sp=occurrence:sos=all:lma=off:random_seed=1156280884:i=4835:sd=13:ss=axioms:sgt=23_2885 on theBenchmark for (2885ds/4835Mi)
% 64.85/12.40 % (3843441)Refutation found. Thanks to Tanya!
% 64.85/12.40 % SZS status Theorem for theBenchmark
% 64.85/12.40 % SZS output start Proof for theBenchmark
% See solution above
% 83.73/12.60 % (3843441)------------------------------
% 83.73/12.60 % (3843441)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 83.73/12.60 % (3843441)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.73/12.60 % (3843441)CaDiCaL version: 2.1.3
% 83.73/12.60 % (3843441)Termination reason: Refutation
% 83.73/12.60 % (3843441)Time elapsed: 11.317 s
% 83.73/12.60 % (3843441)Peak memory usage: 239 MB
% 83.73/12.60 % (3843441)Instructions burned: 21327 (million)
% 83.73/12.60 % (3843441)------------------------------
% 83.73/12.60 % (3843441)------------------------------
% 83.73/12.60 % (3843436)Success in time 11.753 s
% 83.73/12.60 % Vampire exiting
%------------------------------------------------------------------------------