%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEV543+1 : TPTP v9.3.1. Released v9.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:57:56 PM UTC 2026
% Result : Theorem 34.70s 5.86s
% Output : Refutation 36.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 55
% Syntax : Number of formulae : 532 ( 83 unt; 43 def)
% Number of atoms : 1362 ( 82 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 1403 ( 573 ~; 747 |; 32 &)
% ( 45 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 44 ( 42 usr; 38 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 7 con; 0-2 aty)
% Number of variables : 178 ( 0 sgn 167 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( subq(X0,X1)
<=> ! [X2] :
( mem(X2,X0)
=> mem(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subq_def) ).
fof(f2,axiom,
! [X0,X1] :
( subq(X0,X1)
=> ( subq(X1,X0)
=> X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',setext) ).
fof(f4,axiom,
! [X0] : ~ mem(X0,e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_ax) ).
fof(f5,axiom,
! [X0,X1] :
( mem(X0,s(X1))
<=> X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s_ax) ).
fof(f6,axiom,
! [X0,X1,X2] :
( mem(X0,u(X1,X2))
<=> ( mem(X0,X1)
| mem(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_ax) ).
fof(f8,axiom,
! [X0,X1] : a(X0,X1) = u(X0,s(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_def) ).
fof(f9,axiom,
! [X0] : n(X0) = a(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_def) ).
fof(f10,axiom,
! [X0,X1] :
( mem(X0,p(X1))
<=> subq(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p_ax) ).
fof(f11,axiom,
! [X0] :
( atleast2p(X0)
<=> ? [X1] :
( mem(X1,X0)
& ~ subq(X0,p(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',atleast2p_def) ).
fof(f12,axiom,
! [X0] :
( atleast3p(X0)
<=> ? [X1] :
( subq(X1,X0)
& atleast2p(X1)
& ~ subq(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',atleast3p_def) ).
fof(f13,axiom,
! [X0] :
( atleast4p(X0)
<=> ? [X1] :
( subq(X1,X0)
& atleast3p(X1)
& ~ subq(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',atleast4p_def) ).
fof(f26,conjecture,
~ atleast4p(u(s(n(e)),p(s(s(n(e)))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',atmost3_19) ).
fof(f27,negated_conjecture,
~ ~ atleast4p(u(s(n(e)),p(s(s(n(e)))))),
inference(negated_conjecture,[status(cth)],[f26]) ).
fof(f28,plain,
atleast4p(u(s(n(e)),p(s(s(n(e)))))),
inference(flattening,[],[f27]) ).
fof(f29,plain,
! [X0] :
( atleast4p(X0)
=> ? [X1] :
( subq(X1,X0)
& atleast3p(X1)
& ~ subq(X0,X1) ) ),
inference(unused_predicate_definition_removal,[],[f13]) ).
fof(f30,plain,
! [X0] :
( atleast3p(X0)
=> ? [X1] :
( subq(X1,X0)
& atleast2p(X1)
& ~ subq(X0,X1) ) ),
inference(unused_predicate_definition_removal,[],[f12]) ).
fof(f31,plain,
! [X0] :
( atleast2p(X0)
=> ? [X1] :
( mem(X1,X0)
& ~ subq(X0,p(X1)) ) ),
inference(unused_predicate_definition_removal,[],[f11]) ).
fof(f32,plain,
! [X0,X1] :
( subq(X0,X1)
<=> ! [X2] :
( mem(X2,X1)
| ~ mem(X2,X0) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f33,plain,
! [X0,X1] :
( X0 = X1
| ~ subq(X1,X0)
| ~ subq(X0,X1) ),
inference(ennf_transformation,[],[f2]) ).
fof(f34,plain,
! [X0,X1] :
( X0 = X1
| ~ subq(X1,X0)
| ~ subq(X0,X1) ),
inference(flattening,[],[f33]) ).
fof(f35,plain,
! [X0] :
( ? [X1] :
( mem(X1,X0)
& ~ subq(X0,p(X1)) )
| ~ atleast2p(X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f36,plain,
! [X0] :
( ? [X1] :
( subq(X1,X0)
& atleast2p(X1)
& ~ subq(X0,X1) )
| ~ atleast3p(X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f37,plain,
! [X0] :
( ? [X1] :
( subq(X1,X0)
& atleast3p(X1)
& ~ subq(X0,X1) )
| ~ atleast4p(X0) ),
inference(ennf_transformation,[],[f29]) ).
fof(f38,plain,
! [X0,X1] :
( ( subq(X0,X1)
| ? [X2] :
( ~ mem(X2,X1)
& mem(X2,X0) ) )
& ( ! [X2] :
( mem(X2,X1)
| ~ mem(X2,X0) )
| ~ subq(X0,X1) ) ),
inference(nnf_transformation,[],[f32]) ).
fof(f39,plain,
! [X0,X1] :
( ( subq(X0,X1)
| ? [X2] :
( ~ mem(X2,X1)
& mem(X2,X0) ) )
& ( ! [X3] :
( mem(X3,X1)
| ~ mem(X3,X0) )
| ~ subq(X0,X1) ) ),
inference(rectify,[],[f38]) ).
fof(f40,plain,
! [X0,X1] :
( ( subq(X0,X1)
| ( ~ mem(sK0(X0,X1),X1)
& mem(sK0(X0,X1),X0) ) )
& ( ! [X3] :
( mem(X3,X1)
| ~ mem(X3,X0) )
| ~ subq(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0,X1))],[f39]) ).
fof(f41,plain,
! [X0,X1] :
( ( mem(X0,s(X1))
| X0 != X1 )
& ( X0 = X1
| ~ mem(X0,s(X1)) ) ),
inference(nnf_transformation,[],[f5]) ).
fof(f42,plain,
! [X0,X1,X2] :
( ( mem(X0,u(X1,X2))
| ( ~ mem(X0,X1)
& ~ mem(X0,X2) ) )
& ( mem(X0,X1)
| mem(X0,X2)
| ~ mem(X0,u(X1,X2)) ) ),
inference(nnf_transformation,[],[f6]) ).
fof(f43,plain,
! [X0,X1,X2] :
( ( mem(X0,u(X1,X2))
| ( ~ mem(X0,X1)
& ~ mem(X0,X2) ) )
& ( mem(X0,X1)
| mem(X0,X2)
| ~ mem(X0,u(X1,X2)) ) ),
inference(flattening,[],[f42]) ).
fof(f46,plain,
! [X0,X1] :
( ( mem(X0,p(X1))
| ~ subq(X0,X1) )
& ( subq(X0,X1)
| ~ mem(X0,p(X1)) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f47,plain,
! [X0] :
( ( mem(sK1(X0),X0)
& ~ subq(X0,p(sK1(X0))) )
| ~ atleast2p(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X1,sK1(X0))],[f35]) ).
fof(f48,plain,
! [X0] :
( ( subq(sK2(X0),X0)
& atleast2p(sK2(X0))
& ~ subq(X0,sK2(X0)) )
| ~ atleast3p(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X1,sK2(X0))],[f36]) ).
fof(f49,plain,
! [X0] :
( ( subq(sK3(X0),X0)
& atleast3p(sK3(X0))
& ~ subq(X0,sK3(X0)) )
| ~ atleast4p(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X1,sK3(X0))],[f37]) ).
fof(f50,plain,
! [X3,X0,X1] :
( ~ mem(X3,X0)
| mem(X3,X1)
| ~ subq(X0,X1) ),
inference(cnf_transformation,[],[f40]) ).
fof(f51,plain,
! [X0,X1] :
( mem(sK0(X0,X1),X0)
| subq(X0,X1) ),
inference(cnf_transformation,[],[f40]) ).
fof(f52,plain,
! [X0,X1] :
( ~ mem(sK0(X0,X1),X1)
| subq(X0,X1) ),
inference(cnf_transformation,[],[f40]) ).
fof(f53,plain,
! [X0,X1] :
( ~ subq(X1,X0)
| X0 = X1
| ~ subq(X0,X1) ),
inference(cnf_transformation,[],[f34]) ).
fof(f54,plain,
! [X0] : ~ mem(X0,e),
inference(cnf_transformation,[],[f4]) ).
fof(f55,plain,
! [X0,X1] :
( ~ mem(X0,s(X1))
| X0 = X1 ),
inference(cnf_transformation,[],[f41]) ).
fof(f56,plain,
! [X0,X1] :
( mem(X0,s(X1))
| X0 != X1 ),
inference(cnf_transformation,[],[f41]) ).
fof(f57,plain,
! [X2,X0,X1] :
( ~ mem(X0,u(X1,X2))
| mem(X0,X2)
| mem(X0,X1) ),
inference(cnf_transformation,[],[f43]) ).
fof(f58,plain,
! [X2,X0,X1] :
( mem(X0,u(X1,X2))
| ~ mem(X0,X2) ),
inference(cnf_transformation,[],[f43]) ).
fof(f59,plain,
! [X2,X0,X1] :
( mem(X0,u(X1,X2))
| ~ mem(X0,X1) ),
inference(cnf_transformation,[],[f43]) ).
fof(f63,plain,
! [X0,X1] : a(X0,X1) = u(X0,s(X1)),
inference(cnf_transformation,[],[f8]) ).
fof(f64,plain,
! [X0] : n(X0) = a(X0,X0),
inference(cnf_transformation,[],[f9]) ).
fof(f65,plain,
! [X0,X1] :
( ~ mem(X0,p(X1))
| subq(X0,X1) ),
inference(cnf_transformation,[],[f46]) ).
fof(f66,plain,
! [X0,X1] :
( mem(X0,p(X1))
| ~ subq(X0,X1) ),
inference(cnf_transformation,[],[f46]) ).
fof(f67,plain,
! [X0] :
( ~ subq(X0,p(sK1(X0)))
| ~ atleast2p(X0) ),
inference(cnf_transformation,[],[f47]) ).
fof(f68,plain,
! [X0] :
( mem(sK1(X0),X0)
| ~ atleast2p(X0) ),
inference(cnf_transformation,[],[f47]) ).
fof(f69,plain,
! [X0] :
( ~ subq(X0,sK2(X0))
| ~ atleast3p(X0) ),
inference(cnf_transformation,[],[f48]) ).
fof(f70,plain,
! [X0] :
( atleast2p(sK2(X0))
| ~ atleast3p(X0) ),
inference(cnf_transformation,[],[f48]) ).
fof(f71,plain,
! [X0] :
( subq(sK2(X0),X0)
| ~ atleast3p(X0) ),
inference(cnf_transformation,[],[f48]) ).
fof(f72,plain,
! [X0] :
( ~ subq(X0,sK3(X0))
| ~ atleast4p(X0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f73,plain,
! [X0] :
( atleast3p(sK3(X0))
| ~ atleast4p(X0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f74,plain,
! [X0] :
( subq(sK3(X0),X0)
| ~ atleast4p(X0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f75,plain,
atleast4p(u(s(n(e)),p(s(s(n(e)))))),
inference(cnf_transformation,[],[f28]) ).
fof(f76,plain,
! [X0] : n(X0) = u(X0,s(X0)),
inference(definition_unfolding,[],[f64,f63]) ).
fof(f77,plain,
atleast4p(u(s(u(e,s(e))),p(s(s(u(e,s(e))))))),
inference(definition_unfolding,[],[f75,f76,f76]) ).
fof(f78,plain,
! [X1] : mem(X1,s(X1)),
inference(equality_resolution,[],[f56]) ).
fof(f79,definition,
sF4 = s(e),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f80,plain,
s(e) = sF4,
inference(reorient_equations,[],[f79]) ).
fof(f81,definition,
sF5 = u(e,sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f82,plain,
u(e,sF4) = sF5,
inference(reorient_equations,[],[f81]) ).
fof(f83,definition,
sF6 = s(sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f84,plain,
s(sF5) = sF6,
inference(reorient_equations,[],[f83]) ).
fof(f85,definition,
sF7 = s(sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f86,plain,
s(sF6) = sF7,
inference(reorient_equations,[],[f85]) ).
fof(f87,definition,
sF8 = p(sF7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f88,plain,
p(sF7) = sF8,
inference(reorient_equations,[],[f87]) ).
fof(f89,definition,
sF9 = u(sF6,sF8),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f90,plain,
u(sF6,sF8) = sF9,
inference(reorient_equations,[],[f89]) ).
fof(f91,plain,
atleast4p(sF9),
inference(definition_folding,[],[f77,f90,f88,f86,f84,f82,f80,f84,f82,f80]) ).
fof(f92,plain,
mem(e,sF4),
inference(superposition,[],[f78,f80]) ).
fof(f94,plain,
mem(sF5,sF6),
inference(superposition,[],[f78,f84]) ).
fof(f97,plain,
! [X0] :
( ~ mem(X0,sF4)
| e = X0 ),
inference(superposition,[],[f55,f80]) ).
fof(f98,plain,
! [X0] :
( ~ mem(X0,sF7)
| sF6 = X0 ),
inference(superposition,[],[f55,f86]) ).
fof(f99,plain,
! [X0] :
( ~ mem(X0,sF6)
| sF5 = X0 ),
inference(superposition,[],[f55,f84]) ).
fof(f102,plain,
! [X0] :
( ~ mem(X0,sF4)
| mem(X0,sF5) ),
inference(superposition,[],[f58,f82]) ).
fof(f110,plain,
! [X0] :
( ~ mem(X0,sF9)
| mem(X0,sF8)
| mem(X0,sF6) ),
inference(superposition,[],[f57,f90]) ).
fof(f111,plain,
! [X0] :
( ~ mem(X0,sF5)
| mem(X0,sF4)
| mem(X0,e) ),
inference(superposition,[],[f57,f82]) ).
fof(f112,plain,
! [X0] :
( ~ mem(X0,sF5)
| mem(X0,sF4) ),
inference(forward_subsumption_resolution,[],[f111,f54]) ).
fof(f113,plain,
! [X0] :
( ~ mem(X0,sF8)
| subq(X0,sF7) ),
inference(superposition,[],[f65,f88]) ).
fof(f120,plain,
! [X2,X0,X1] :
( ~ mem(sK0(X0,u(X1,X2)),X1)
| subq(X0,u(X1,X2)) ),
inference(resolution,[],[f52,f59]) ).
fof(f121,plain,
! [X2,X0,X1] :
( ~ mem(sK0(X0,u(X1,X2)),X2)
| subq(X0,u(X1,X2)) ),
inference(resolution,[],[f52,f58]) ).
fof(f127,plain,
! [X0] :
( subq(X0,X0)
| subq(X0,X0) ),
inference(resolution,[],[f51,f52]) ).
fof(f128,plain,
! [X0] : subq(e,X0),
inference(resolution,[],[f51,f54]) ).
fof(f129,plain,
! [X0,X1] :
( sK0(s(X0),X1) = X0
| subq(s(X0),X1) ),
inference(resolution,[],[f51,f55]) ).
fof(f135,plain,
! [X0] : subq(X0,X0),
inference(duplicate_literal_removal,[],[f127]) ).
fof(f146,plain,
subq(sK3(sF9),sF9),
inference(unit_resulting_resolution,[],[f74,f91]) ).
fof(f149,plain,
mem(e,sF5),
inference(resolution,[],[f102,f92]) ).
fof(f155,plain,
! [X0] :
( mem(sK0(sF5,X0),sF4)
| subq(sF5,X0) ),
inference(resolution,[],[f112,f51]) ).
fof(f156,plain,
atleast3p(sK3(sF9)),
inference(unit_resulting_resolution,[],[f73,f91]) ).
fof(f162,plain,
! [X0,X1] :
( ~ subq(s(X0),X1)
| mem(X0,X1) ),
inference(resolution,[],[f50,f78]) ).
fof(f168,plain,
! [X2,X0,X1] :
( mem(sK0(X0,X1),X2)
| ~ subq(X0,X2)
| subq(X0,X1) ),
inference(resolution,[],[f50,f51]) ).
fof(f177,plain,
( sF9 = sK3(sF9)
| ~ subq(sF9,sK3(sF9)) ),
inference(resolution,[],[f146,f53]) ).
fof(f179,definition,
( spl10_1
<=> subq(sF9,sK3(sF9)) ),
introduced(definition,[new_symbols(definition,[spl10_1])],[avatar_definition]) ).
fof(f181,plain,
( ~ subq(sF9,sK3(sF9))
| spl10_1 ),
inference(avatar_component_clause,[],[f179]) ).
fof(f183,definition,
( spl10_2
<=> sF9 = sK3(sF9) ),
introduced(definition,[new_symbols(definition,[spl10_2])],[avatar_definition]) ).
fof(f185,plain,
( sF9 = sK3(sF9)
| ~ spl10_2 ),
inference(avatar_component_clause,[],[f183]) ).
fof(f186,plain,
( ~ spl10_1
| spl10_2 ),
inference(avatar_split_clause,[],[f177,f183,f179]) ).
fof(f191,plain,
! [X0] :
( ~ subq(X0,e)
| e = X0 ),
inference(resolution,[],[f128,f53]) ).
fof(f193,plain,
~ subq(sF9,sK3(sF9)),
inference(unit_resulting_resolution,[],[f72,f91]) ).
fof(f303,plain,
( subq(sF5,sF4)
| subq(sF5,sF4) ),
inference(resolution,[],[f155,f52]) ).
fof(f305,plain,
! [X0] :
( e = sK0(sF5,X0)
| subq(sF5,X0) ),
inference(resolution,[],[f155,f97]) ).
fof(f307,plain,
subq(sF5,sF4),
inference(duplicate_literal_removal,[],[f303]) ).
fof(f310,plain,
( sF4 = sF5
| ~ subq(sF4,sF5) ),
inference(resolution,[],[f307,f53]) ).
fof(f312,definition,
( spl10_21
<=> subq(sF4,sF5) ),
introduced(definition,[new_symbols(definition,[spl10_21])],[avatar_definition]) ).
fof(f314,plain,
( ~ subq(sF4,sF5)
| spl10_21 ),
inference(avatar_component_clause,[],[f312]) ).
fof(f316,definition,
( spl10_22
<=> sF4 = sF5 ),
introduced(definition,[new_symbols(definition,[spl10_22])],[avatar_definition]) ).
fof(f318,plain,
( sF4 = sF5
| ~ spl10_22 ),
inference(avatar_component_clause,[],[f316]) ).
fof(f319,plain,
( ~ spl10_21
| spl10_22 ),
inference(avatar_split_clause,[],[f310,f316,f312]) ).
fof(f322,plain,
! [X0] :
( ~ mem(e,X0)
| subq(sF5,X0)
| subq(sF5,X0) ),
inference(superposition,[],[f52,f305]) ).
fof(f323,plain,
! [X0] :
( ~ mem(e,X0)
| subq(sF5,X0) ),
inference(duplicate_literal_removal,[],[f322]) ).
fof(f326,plain,
subq(sK2(sK3(sF9)),sK3(sF9)),
inference(unit_resulting_resolution,[],[f71,f156]) ).
fof(f339,plain,
( sK3(sF9) = sK2(sK3(sF9))
| ~ subq(sK3(sF9),sK2(sK3(sF9))) ),
inference(resolution,[],[f326,f53]) ).
fof(f341,definition,
( spl10_25
<=> subq(sK3(sF9),sK2(sK3(sF9))) ),
introduced(definition,[new_symbols(definition,[spl10_25])],[avatar_definition]) ).
fof(f343,plain,
( ~ subq(sK3(sF9),sK2(sK3(sF9)))
| spl10_25 ),
inference(avatar_component_clause,[],[f341]) ).
fof(f345,definition,
( spl10_26
<=> sK3(sF9) = sK2(sK3(sF9)) ),
introduced(definition,[new_symbols(definition,[spl10_26])],[avatar_definition]) ).
fof(f347,plain,
( sK3(sF9) = sK2(sK3(sF9))
| ~ spl10_26 ),
inference(avatar_component_clause,[],[f345]) ).
fof(f348,plain,
( ~ spl10_25
| spl10_26 ),
inference(avatar_split_clause,[],[f339,f345,f341]) ).
fof(f363,definition,
( spl10_27
<=> mem(sK0(sK3(sF9),sK2(sK3(sF9))),sF6) ),
introduced(definition,[new_symbols(definition,[spl10_27])],[avatar_definition]) ).
fof(f364,plain,
( ~ mem(sK0(sK3(sF9),sK2(sK3(sF9))),sF6)
| spl10_27 ),
inference(avatar_component_clause,[],[f363]) ).
fof(f365,plain,
( mem(sK0(sK3(sF9),sK2(sK3(sF9))),sF6)
| ~ spl10_27 ),
inference(avatar_component_clause,[],[f363]) ).
fof(f367,definition,
( spl10_28
<=> mem(sK0(sK3(sF9),sK2(sK3(sF9))),sF8) ),
introduced(definition,[new_symbols(definition,[spl10_28])],[avatar_definition]) ).
fof(f369,plain,
( mem(sK0(sK3(sF9),sK2(sK3(sF9))),sF8)
| ~ spl10_28 ),
inference(avatar_component_clause,[],[f367]) ).
fof(f383,plain,
! [X0] :
( subq(sF5,p(X0))
| ~ subq(e,X0) ),
inference(resolution,[],[f323,f66]) ).
fof(f384,plain,
! [X0] : subq(sF5,p(X0)),
inference(forward_subsumption_resolution,[],[f383,f128]) ).
fof(f391,plain,
! [X0,X1] :
( ~ mem(X0,X1)
| subq(s(X0),X1)
| subq(s(X0),X1) ),
inference(superposition,[],[f52,f129]) ).
fof(f392,plain,
! [X0,X1] :
( subq(s(X0),X1)
| ~ mem(X0,X1) ),
inference(duplicate_literal_removal,[],[f391]) ).
fof(f394,plain,
! [X0,X1] :
( subq(X0,u(X1,X0))
| subq(X0,u(X1,X0)) ),
inference(resolution,[],[f121,f51]) ).
fof(f406,plain,
! [X0,X1] : subq(X0,u(X1,X0)),
inference(duplicate_literal_removal,[],[f394]) ).
fof(f409,plain,
subq(s(e),sF5),
inference(unit_resulting_resolution,[],[f392,f149]) ).
fof(f418,plain,
! [X0] :
( ~ mem(sF6,X0)
| subq(sF7,X0) ),
inference(superposition,[],[f392,f86]) ).
fof(f419,plain,
! [X0] :
( subq(sF6,X0)
| ~ mem(sF5,X0) ),
inference(superposition,[],[f392,f84]) ).
fof(f421,plain,
subq(sF4,sF5),
inference(forward_demodulation,[],[f409,f80]) ).
fof(f425,plain,
( $false
| spl10_21 ),
inference(forward_subsumption_resolution,[],[f421,f314]) ).
fof(f426,plain,
spl10_21,
inference(avatar_contradiction_clause,[],[f425]) ).
fof(f428,plain,
( sF6 = s(sF4)
| ~ spl10_22 ),
inference(backward_demodulation,[],[f84,f318]) ).
fof(f429,plain,
( mem(sF4,sF6)
| ~ spl10_22 ),
inference(backward_demodulation,[],[f94,f318]) ).
fof(f430,plain,
( ! [X0] :
( ~ mem(X0,sF6)
| sF4 = X0 )
| ~ spl10_22 ),
inference(backward_demodulation,[],[f99,f318]) ).
fof(f457,plain,
( ! [X0] : subq(sF4,p(X0))
| ~ spl10_22 ),
inference(backward_demodulation,[],[f384,f318]) ).
fof(f460,plain,
( ! [X0] :
( ~ mem(sF4,X0)
| subq(sF6,X0) )
| ~ spl10_22 ),
inference(backward_demodulation,[],[f419,f318]) ).
fof(f521,plain,
! [X0,X1] :
( sK0(X0,X1) = sF6
| subq(X0,X1)
| ~ subq(X0,sF7) ),
inference(resolution,[],[f168,f98]) ).
fof(f524,plain,
! [X0,X1] :
( mem(sK0(X0,X1),sF8)
| subq(X0,X1)
| ~ subq(X0,sF9)
| mem(sK0(X0,X1),sF6) ),
inference(resolution,[],[f168,f110]) ).
fof(f543,plain,
! [X0,X1] :
( subq(X0,u(X0,X1))
| subq(X0,u(X0,X1)) ),
inference(resolution,[],[f120,f51]) ).
fof(f552,plain,
! [X0,X1] : subq(X0,u(X0,X1)),
inference(duplicate_literal_removal,[],[f543]) ).
fof(f593,plain,
atleast2p(sK2(sK3(sF9))),
inference(unit_resulting_resolution,[],[f70,f156]) ).
fof(f635,plain,
( sF4 = sK0(sK3(sF9),sK2(sK3(sF9)))
| ~ spl10_22
| ~ spl10_27 ),
inference(resolution,[],[f365,f430]) ).
fof(f649,plain,
~ subq(sK2(sK3(sF9)),p(sK1(sK2(sK3(sF9))))),
inference(unit_resulting_resolution,[],[f67,f593]) ).
fof(f650,plain,
mem(sK1(sK2(sK3(sF9))),sK2(sK3(sF9))),
inference(unit_resulting_resolution,[],[f68,f593]) ).
fof(f651,plain,
subq(s(sK1(sK2(sK3(sF9)))),sK2(sK3(sF9))),
inference(unit_resulting_resolution,[],[f392,f650]) ).
fof(f652,plain,
mem(sK1(sK2(sK3(sF9))),sK3(sF9)),
inference(unit_resulting_resolution,[],[f50,f326,f650]) ).
fof(f658,plain,
! [X0] :
( mem(sK1(sK2(sK3(sF9))),X0)
| ~ subq(sK2(sK3(sF9)),X0) ),
inference(resolution,[],[f650,f50]) ).
fof(f659,plain,
subq(s(sK1(sK2(sK3(sF9)))),sK3(sF9)),
inference(unit_resulting_resolution,[],[f392,f652]) ).
fof(f660,plain,
mem(sK1(sK2(sK3(sF9))),sF9),
inference(unit_resulting_resolution,[],[f50,f146,f652]) ).
fof(f676,definition,
( spl10_35
<=> mem(sK1(sK2(sK3(sF9))),sF6) ),
introduced(definition,[new_symbols(definition,[spl10_35])],[avatar_definition]) ).
fof(f677,plain,
( ~ mem(sK1(sK2(sK3(sF9))),sF6)
| spl10_35 ),
inference(avatar_component_clause,[],[f676]) ).
fof(f678,plain,
( mem(sK1(sK2(sK3(sF9))),sF6)
| ~ spl10_35 ),
inference(avatar_component_clause,[],[f676]) ).
fof(f680,definition,
( spl10_36
<=> mem(sK1(sK2(sK3(sF9))),sF8) ),
introduced(definition,[new_symbols(definition,[spl10_36])],[avatar_definition]) ).
fof(f682,plain,
( mem(sK1(sK2(sK3(sF9))),sF8)
| ~ spl10_36 ),
inference(avatar_component_clause,[],[f680]) ).
fof(f693,plain,
( sF4 = sK1(sK2(sK3(sF9)))
| ~ spl10_22
| ~ spl10_35 ),
inference(resolution,[],[f678,f430]) ).
fof(f697,plain,
( mem(sF4,sK2(sK3(sF9)))
| ~ spl10_22
| ~ spl10_35 ),
inference(backward_demodulation,[],[f650,f693]) ).
fof(f698,plain,
( subq(s(sF4),sK2(sK3(sF9)))
| ~ spl10_22
| ~ spl10_35 ),
inference(backward_demodulation,[],[f651,f693]) ).
fof(f699,plain,
( mem(sF4,sK3(sF9))
| ~ spl10_22
| ~ spl10_35 ),
inference(backward_demodulation,[],[f652,f693]) ).
fof(f723,plain,
( subq(sF6,sK2(sK3(sF9)))
| ~ spl10_22
| ~ spl10_35 ),
inference(forward_demodulation,[],[f698,f428]) ).
fof(f747,plain,
( ~ mem(sF4,sK2(sK3(sF9)))
| subq(sK3(sF9),sK2(sK3(sF9)))
| ~ spl10_22
| ~ spl10_27 ),
inference(superposition,[],[f52,f635]) ).
fof(f748,plain,
( subq(sK3(sF9),sK2(sK3(sF9)))
| ~ spl10_22
| ~ spl10_27
| ~ spl10_35 ),
inference(forward_subsumption_resolution,[],[f747,f697]) ).
fof(f749,plain,
( $false
| ~ spl10_22
| spl10_25
| ~ spl10_27
| ~ spl10_35 ),
inference(forward_subsumption_resolution,[],[f748,f343]) ).
fof(f750,plain,
( ~ spl10_22
| spl10_25
| ~ spl10_27
| ~ spl10_35 ),
inference(avatar_contradiction_clause,[],[f749]) ).
fof(f759,plain,
( subq(sK0(sK3(sF9),sK2(sK3(sF9))),sF7)
| ~ spl10_28 ),
inference(resolution,[],[f369,f113]) ).
fof(f773,plain,
( sF7 = sK0(sK3(sF9),sK2(sK3(sF9)))
| ~ subq(sF7,sK0(sK3(sF9),sK2(sK3(sF9))))
| ~ spl10_28 ),
inference(resolution,[],[f759,f53]) ).
fof(f775,definition,
( spl10_37
<=> subq(sF7,sK0(sK3(sF9),sK2(sK3(sF9)))) ),
introduced(definition,[new_symbols(definition,[spl10_37])],[avatar_definition]) ).
fof(f777,plain,
( ~ subq(sF7,sK0(sK3(sF9),sK2(sK3(sF9))))
| spl10_37 ),
inference(avatar_component_clause,[],[f775]) ).
fof(f779,definition,
( spl10_38
<=> sF7 = sK0(sK3(sF9),sK2(sK3(sF9))) ),
introduced(definition,[new_symbols(definition,[spl10_38])],[avatar_definition]) ).
fof(f781,plain,
( sF7 = sK0(sK3(sF9),sK2(sK3(sF9)))
| ~ spl10_38 ),
inference(avatar_component_clause,[],[f779]) ).
fof(f782,plain,
( ~ spl10_37
| spl10_38
| ~ spl10_28 ),
inference(avatar_split_clause,[],[f773,f367,f779,f775]) ).
fof(f814,plain,
( sF6 = sK2(sK3(sF9))
| ~ subq(sK2(sK3(sF9)),sF6)
| ~ spl10_22
| ~ spl10_35 ),
inference(resolution,[],[f723,f53]) ).
fof(f816,definition,
( spl10_39
<=> subq(sK2(sK3(sF9)),sF6) ),
introduced(definition,[new_symbols(definition,[spl10_39])],[avatar_definition]) ).
fof(f817,plain,
( subq(sK2(sK3(sF9)),sF6)
| ~ spl10_39 ),
inference(avatar_component_clause,[],[f816]) ).
fof(f818,plain,
( ~ subq(sK2(sK3(sF9)),sF6)
| spl10_39 ),
inference(avatar_component_clause,[],[f816]) ).
fof(f820,definition,
( spl10_40
<=> sF6 = sK2(sK3(sF9)) ),
introduced(definition,[new_symbols(definition,[spl10_40])],[avatar_definition]) ).
fof(f822,plain,
( sF6 = sK2(sK3(sF9))
| ~ spl10_40 ),
inference(avatar_component_clause,[],[f820]) ).
fof(f823,plain,
( ~ spl10_39
| spl10_40
| ~ spl10_22
| ~ spl10_35 ),
inference(avatar_split_clause,[],[f814,f676,f316,f820,f816]) ).
fof(f928,plain,
( mem(sK0(sF7,sK0(sK3(sF9),sK2(sK3(sF9)))),sF7)
| spl10_37 ),
inference(unit_resulting_resolution,[],[f51,f777]) ).
fof(f929,plain,
( ~ mem(sK0(sF7,sK0(sK3(sF9),sK2(sK3(sF9)))),sK0(sK3(sF9),sK2(sK3(sF9))))
| spl10_37 ),
inference(unit_resulting_resolution,[],[f52,f777]) ).
fof(f946,plain,
( sF6 = sK0(sF7,sK0(sK3(sF9),sK2(sK3(sF9))))
| spl10_37 ),
inference(resolution,[],[f928,f98]) ).
fof(f949,plain,
( ~ mem(sF6,sK0(sK3(sF9),sK2(sK3(sF9))))
| spl10_37 ),
inference(backward_demodulation,[],[f929,f946]) ).
fof(f1019,plain,
( mem(sK0(sK2(sK3(sF9)),sF6),sK3(sF9))
| spl10_39 ),
inference(unit_resulting_resolution,[],[f168,f326,f818]) ).
fof(f1024,plain,
( ~ mem(sK0(sK2(sK3(sF9)),sF6),sF6)
| spl10_39 ),
inference(unit_resulting_resolution,[],[f52,f818]) ).
fof(f1047,definition,
( spl10_43
<=> mem(sK0(sF9,sK3(sF9)),sF6) ),
introduced(definition,[new_symbols(definition,[spl10_43])],[avatar_definition]) ).
fof(f1048,plain,
( ~ mem(sK0(sF9,sK3(sF9)),sF6)
| spl10_43 ),
inference(avatar_component_clause,[],[f1047]) ).
fof(f1049,plain,
( mem(sK0(sF9,sK3(sF9)),sF6)
| ~ spl10_43 ),
inference(avatar_component_clause,[],[f1047]) ).
fof(f1051,definition,
( spl10_44
<=> mem(sK0(sF9,sK3(sF9)),sF8) ),
introduced(definition,[new_symbols(definition,[spl10_44])],[avatar_definition]) ).
fof(f1053,plain,
( mem(sK0(sF9,sK3(sF9)),sF8)
| ~ spl10_44 ),
inference(avatar_component_clause,[],[f1051]) ).
fof(f1152,plain,
( ~ subq(sF9,sF9)
| ~ spl10_2 ),
inference(forward_demodulation,[],[f193,f185]) ).
fof(f1157,plain,
( $false
| ~ spl10_2 ),
inference(forward_subsumption_resolution,[],[f1152,f135]) ).
fof(f1158,plain,
~ spl10_2,
inference(avatar_contradiction_clause,[],[f1157]) ).
fof(f1184,plain,
~ subq(sK3(sF9),sK2(sK3(sF9))),
inference(unit_resulting_resolution,[],[f69,f156]) ).
fof(f1275,plain,
( mem(sK0(sF9,sK3(sF9)),sF9)
| spl10_1 ),
inference(unit_resulting_resolution,[],[f51,f181]) ).
fof(f1276,plain,
( ~ mem(sK0(sF9,sK3(sF9)),sK3(sF9))
| spl10_1 ),
inference(unit_resulting_resolution,[],[f52,f181]) ).
fof(f1344,plain,
( sF4 = sK0(sF9,sK3(sF9))
| ~ spl10_22
| ~ spl10_43 ),
inference(resolution,[],[f1049,f430]) ).
fof(f1348,plain,
( ~ mem(sF4,sK3(sF9))
| spl10_1
| ~ spl10_22
| ~ spl10_43 ),
inference(backward_demodulation,[],[f1276,f1344]) ).
fof(f1362,plain,
( $false
| spl10_1
| ~ spl10_22
| ~ spl10_35
| ~ spl10_43 ),
inference(forward_subsumption_resolution,[],[f1348,f699]) ).
fof(f1363,plain,
( spl10_1
| ~ spl10_22
| ~ spl10_35
| ~ spl10_43 ),
inference(avatar_contradiction_clause,[],[f1362]) ).
fof(f1377,plain,
( subq(sK1(sK2(sK3(sF9))),sF7)
| ~ spl10_36 ),
inference(resolution,[],[f682,f113]) ).
fof(f1391,plain,
( sF7 = sK1(sK2(sK3(sF9)))
| ~ subq(sF7,sK1(sK2(sK3(sF9))))
| ~ spl10_36 ),
inference(resolution,[],[f1377,f53]) ).
fof(f1393,definition,
( spl10_45
<=> subq(sF7,sK1(sK2(sK3(sF9)))) ),
introduced(definition,[new_symbols(definition,[spl10_45])],[avatar_definition]) ).
fof(f1395,plain,
( ~ subq(sF7,sK1(sK2(sK3(sF9))))
| spl10_45 ),
inference(avatar_component_clause,[],[f1393]) ).
fof(f1397,definition,
( spl10_46
<=> sF7 = sK1(sK2(sK3(sF9))) ),
introduced(definition,[new_symbols(definition,[spl10_46])],[avatar_definition]) ).
fof(f1399,plain,
( sF7 = sK1(sK2(sK3(sF9)))
| ~ spl10_46 ),
inference(avatar_component_clause,[],[f1397]) ).
fof(f1400,plain,
( ~ spl10_45
| spl10_46
| ~ spl10_36 ),
inference(avatar_split_clause,[],[f1391,f680,f1397,f1393]) ).
fof(f1427,plain,
( ~ subq(s(sK1(sK2(sK3(sF9)))),sF6)
| spl10_35 ),
inference(unit_resulting_resolution,[],[f162,f677]) ).
fof(f1445,plain,
( mem(sK1(sK2(sK3(sF9))),sF8)
| spl10_35 ),
inference(unit_resulting_resolution,[],[f110,f677,f660]) ).
fof(f1472,plain,
mem(sK0(sK2(sK3(sF9)),p(sK1(sK2(sK3(sF9))))),sK3(sF9)),
inference(unit_resulting_resolution,[],[f168,f326,f649]) ).
fof(f1476,plain,
mem(sK0(sK2(sK3(sF9)),p(sK1(sK2(sK3(sF9))))),sK2(sK3(sF9))),
inference(unit_resulting_resolution,[],[f51,f649]) ).
fof(f1477,plain,
~ mem(sK0(sK2(sK3(sF9)),p(sK1(sK2(sK3(sF9))))),p(sK1(sK2(sK3(sF9))))),
inference(unit_resulting_resolution,[],[f52,f649]) ).
fof(f1479,plain,
subq(s(sK0(sK2(sK3(sF9)),p(sK1(sK2(sK3(sF9)))))),sK2(sK3(sF9))),
inference(unit_resulting_resolution,[],[f392,f1476]) ).
fof(f1488,plain,
mem(sK0(sK2(sK3(sF9)),p(sK1(sK2(sK3(sF9))))),sF9),
inference(unit_resulting_resolution,[],[f50,f146,f1472]) ).
fof(f1511,plain,
( mem(sK0(sF7,sK1(sK2(sK3(sF9)))),sF7)
| spl10_45 ),
inference(unit_resulting_resolution,[],[f51,f1395]) ).
fof(f1512,plain,
( ~ mem(sK0(sF7,sK1(sK2(sK3(sF9)))),sK1(sK2(sK3(sF9))))
| spl10_45 ),
inference(unit_resulting_resolution,[],[f52,f1395]) ).
fof(f1535,plain,
( ~ subq(sK2(sK3(sF9)),sF6)
| sF4 = sK1(sK2(sK3(sF9)))
| ~ spl10_22 ),
inference(resolution,[],[f658,f430]) ).
fof(f1538,plain,
( ~ subq(sK2(sK3(sF9)),sF8)
| subq(sK1(sK2(sK3(sF9))),sF7) ),
inference(resolution,[],[f658,f113]) ).
fof(f1551,definition,
( spl10_51
<=> e = sK1(sK2(sK3(sF9))) ),
introduced(definition,[new_symbols(definition,[spl10_51])],[avatar_definition]) ).
fof(f1552,plain,
( e != sK1(sK2(sK3(sF9)))
| spl10_51 ),
inference(avatar_component_clause,[],[f1551]) ).
fof(f1553,plain,
( e = sK1(sK2(sK3(sF9)))
| ~ spl10_51 ),
inference(avatar_component_clause,[],[f1551]) ).
fof(f1555,definition,
( spl10_52
<=> subq(sK2(sK3(sF9)),sF4) ),
introduced(definition,[new_symbols(definition,[spl10_52])],[avatar_definition]) ).
fof(f1556,plain,
( subq(sK2(sK3(sF9)),sF4)
| ~ spl10_52 ),
inference(avatar_component_clause,[],[f1555]) ).
fof(f1557,plain,
( ~ subq(sK2(sK3(sF9)),sF4)
| spl10_52 ),
inference(avatar_component_clause,[],[f1555]) ).
fof(f1559,plain,
( mem(sK0(sK2(sK3(sF9)),sF4),sK3(sF9))
| spl10_52 ),
inference(unit_resulting_resolution,[],[f168,f326,f1557]) ).
fof(f1633,plain,
( sF6 = sK0(sF7,sK1(sK2(sK3(sF9))))
| spl10_45 ),
inference(resolution,[],[f1511,f98]) ).
fof(f1636,plain,
( ~ mem(sF6,sK1(sK2(sK3(sF9))))
| spl10_45 ),
inference(backward_demodulation,[],[f1512,f1633]) ).
fof(f1680,plain,
( ~ subq(sF6,sK3(sF9))
| spl10_1
| ~ spl10_22
| ~ spl10_43 ),
inference(unit_resulting_resolution,[],[f50,f429,f1348]) ).
fof(f1684,plain,
( ~ mem(sF4,sK2(sK3(sF9)))
| spl10_1
| ~ spl10_22
| ~ spl10_43 ),
inference(unit_resulting_resolution,[],[f50,f326,f1348]) ).
fof(f1714,definition,
( spl10_53
<=> mem(sK0(sK2(sK3(sF9)),p(sK1(sK2(sK3(sF9))))),sF6) ),
introduced(definition,[new_symbols(definition,[spl10_53])],[avatar_definition]) ).
fof(f1715,plain,
( ~ mem(sK0(sK2(sK3(sF9)),p(sK1(sK2(sK3(sF9))))),sF6)
| spl10_53 ),
inference(avatar_component_clause,[],[f1714]) ).
fof(f1716,plain,
( mem(sK0(sK2(sK3(sF9)),p(sK1(sK2(sK3(sF9))))),sF6)
| ~ spl10_53 ),
inference(avatar_component_clause,[],[f1714]) ).
fof(f1731,plain,
( sF4 = sK0(sK2(sK3(sF9)),p(sK1(sK2(sK3(sF9)))))
| ~ spl10_22
| ~ spl10_53 ),
inference(resolution,[],[f1716,f430]) ).
fof(f1740,plain,
( subq(s(sF4),sK2(sK3(sF9)))
| ~ spl10_22
| ~ spl10_53 ),
inference(backward_demodulation,[],[f1479,f1731]) ).
fof(f1762,plain,
( subq(sF6,sK2(sK3(sF9)))
| ~ spl10_22
| ~ spl10_53 ),
inference(forward_demodulation,[],[f1740,f428]) ).
fof(f1806,plain,
( subq(sK0(sF9,sK3(sF9)),sF7)
| ~ spl10_44 ),
inference(resolution,[],[f1053,f113]) ).
fof(f1815,plain,
( sF7 = sK0(sF9,sK3(sF9))
| ~ subq(sF7,sK0(sF9,sK3(sF9)))
| ~ spl10_44 ),
inference(resolution,[],[f1806,f53]) ).
fof(f1817,definition,
( spl10_55
<=> subq(sF7,sK0(sF9,sK3(sF9))) ),
introduced(definition,[new_symbols(definition,[spl10_55])],[avatar_definition]) ).
fof(f1819,plain,
( ~ subq(sF7,sK0(sF9,sK3(sF9)))
| spl10_55 ),
inference(avatar_component_clause,[],[f1817]) ).
fof(f1821,definition,
( spl10_56
<=> sF7 = sK0(sF9,sK3(sF9)) ),
introduced(definition,[new_symbols(definition,[spl10_56])],[avatar_definition]) ).
fof(f1823,plain,
( sF7 = sK0(sF9,sK3(sF9))
| ~ spl10_56 ),
inference(avatar_component_clause,[],[f1821]) ).
fof(f1824,plain,
( ~ spl10_55
| spl10_56
| ~ spl10_44 ),
inference(avatar_split_clause,[],[f1815,f1051,f1821,f1817]) ).
fof(f1827,plain,
( mem(sK0(sK2(sK3(sF9)),sF4),sF9)
| spl10_52 ),
inference(unit_resulting_resolution,[],[f50,f146,f1559]) ).
fof(f1840,plain,
( mem(sK0(sK2(sK3(sF9)),sF4),sF8)
| mem(sK0(sK2(sK3(sF9)),sF4),sF6)
| spl10_52 ),
inference(resolution,[],[f1827,f110]) ).
fof(f1843,definition,
( spl10_57
<=> mem(sK0(sK2(sK3(sF9)),sF4),sF6) ),
introduced(definition,[new_symbols(definition,[spl10_57])],[avatar_definition]) ).
fof(f1845,plain,
( mem(sK0(sK2(sK3(sF9)),sF4),sF6)
| ~ spl10_57 ),
inference(avatar_component_clause,[],[f1843]) ).
fof(f1847,definition,
( spl10_58
<=> mem(sK0(sK2(sK3(sF9)),sF4),sF8) ),
introduced(definition,[new_symbols(definition,[spl10_58])],[avatar_definition]) ).
fof(f1849,plain,
( mem(sK0(sK2(sK3(sF9)),sF4),sF8)
| ~ spl10_58 ),
inference(avatar_component_clause,[],[f1847]) ).
fof(f1850,plain,
( spl10_57
| spl10_58
| spl10_52 ),
inference(avatar_split_clause,[],[f1840,f1555,f1847,f1843]) ).
fof(f1851,plain,
( ~ subq(sK2(sK3(sF9)),p(e))
| ~ spl10_51 ),
inference(backward_demodulation,[],[f649,f1553]) ).
fof(f1853,plain,
( subq(s(e),sK2(sK3(sF9)))
| ~ spl10_51 ),
inference(backward_demodulation,[],[f651,f1553]) ).
fof(f1858,plain,
( subq(s(e),sK3(sF9))
| ~ spl10_51 ),
inference(backward_demodulation,[],[f659,f1553]) ).
fof(f1901,plain,
( subq(sF4,sK3(sF9))
| ~ spl10_51 ),
inference(forward_demodulation,[],[f1858,f80]) ).
fof(f1902,plain,
( subq(sF4,sK2(sK3(sF9)))
| ~ spl10_51 ),
inference(forward_demodulation,[],[f1853,f80]) ).
fof(f1909,plain,
( sF4 = sK2(sK3(sF9))
| ~ subq(sF4,sK2(sK3(sF9)))
| ~ spl10_52 ),
inference(resolution,[],[f1556,f53]) ).
fof(f1910,plain,
( sF4 = sK2(sK3(sF9))
| ~ spl10_51
| ~ spl10_52 ),
inference(forward_subsumption_resolution,[],[f1909,f1902]) ).
fof(f2025,plain,
( ~ subq(sF4,p(e))
| ~ spl10_51
| ~ spl10_52 ),
inference(backward_demodulation,[],[f1851,f1910]) ).
fof(f2039,plain,
( $false
| ~ spl10_22
| ~ spl10_51
| ~ spl10_52 ),
inference(forward_subsumption_resolution,[],[f2025,f457]) ).
fof(f2040,plain,
( ~ spl10_22
| ~ spl10_51
| ~ spl10_52 ),
inference(avatar_contradiction_clause,[],[f2039]) ).
fof(f2128,plain,
( sF4 = sK0(sK2(sK3(sF9)),sF4)
| ~ spl10_22
| ~ spl10_57 ),
inference(resolution,[],[f1845,f430]) ).
fof(f2293,plain,
( ! [X0] : mem(sK0(sK2(sK3(sF9)),sF4),u(X0,sK2(sK3(sF9))))
| spl10_52 ),
inference(unit_resulting_resolution,[],[f168,f406,f1557]) ).
fof(f2296,plain,
( mem(sK0(sK2(sK3(sF9)),sF4),sK2(sK3(sF9)))
| spl10_52 ),
inference(unit_resulting_resolution,[],[f51,f1557]) ).
fof(f2297,plain,
( ~ mem(sK0(sK2(sK3(sF9)),sF4),sF4)
| spl10_52 ),
inference(unit_resulting_resolution,[],[f52,f1557]) ).
fof(f2979,plain,
! [X0] : mem(X0,p(X0)),
inference(unit_resulting_resolution,[],[f66,f135]) ).
fof(f3063,plain,
( ~ subq(s(sK0(sF9,sK3(sF9))),sK3(sF9))
| spl10_1 ),
inference(unit_resulting_resolution,[],[f162,f1276]) ).
fof(f3066,plain,
( ~ mem(sK0(sF9,sK3(sF9)),sK2(sK3(sF9)))
| spl10_1 ),
inference(unit_resulting_resolution,[],[f50,f326,f1276]) ).
fof(f3081,plain,
( ~ subq(s(sK0(sF9,sK3(sF9))),sK2(sK3(sF9)))
| spl10_1 ),
inference(unit_resulting_resolution,[],[f162,f3066]) ).
fof(f3096,plain,
( ~ mem(sK0(sF9,sK3(sF9)),u(sK3(sF9),sK2(sK3(sF9))))
| spl10_1 ),
inference(unit_resulting_resolution,[],[f57,f1276,f3066]) ).
fof(f3098,plain,
( ~ mem(sK0(sF9,sK3(sF9)),u(e,sK2(sK3(sF9))))
| spl10_1 ),
inference(unit_resulting_resolution,[],[f57,f54,f3066]) ).
fof(f3155,plain,
( mem(sK0(sK3(sF9),sK2(sK3(sF9))),sF8)
| spl10_25
| spl10_27 ),
inference(unit_resulting_resolution,[],[f524,f146,f343,f364]) ).
fof(f3159,plain,
! [X0,X1] :
( mem(sK0(X0,X1),sF6)
| ~ subq(X0,sF9)
| subq(X0,X1)
| subq(sK0(X0,X1),sF7) ),
inference(resolution,[],[f524,f113]) ).
fof(f3419,definition,
( spl10_91
<=> mem(sF6,sK0(sF9,sK3(sF9))) ),
introduced(definition,[new_symbols(definition,[spl10_91])],[avatar_definition]) ).
fof(f3420,plain,
( ~ mem(sF6,sK0(sF9,sK3(sF9)))
| spl10_91 ),
inference(avatar_component_clause,[],[f3419]) ).
fof(f3456,plain,
( subq(sK0(sK3(sF9),sK2(sK3(sF9))),sF7)
| spl10_25
| spl10_27 ),
inference(unit_resulting_resolution,[],[f3159,f146,f343,f364]) ).
fof(f3569,plain,
( ~ mem(sF6,sK0(sF9,sK3(sF9)))
| spl10_55 ),
inference(unit_resulting_resolution,[],[f418,f1819]) ).
fof(f3578,plain,
( ~ spl10_91
| spl10_55 ),
inference(avatar_split_clause,[],[f3569,f1817,f3419]) ).
fof(f3595,plain,
! [X0,X1] :
( mem(sF6,X0)
| subq(X0,X1)
| subq(X0,X1)
| ~ subq(X0,sF7) ),
inference(superposition,[],[f51,f521]) ).
fof(f3643,plain,
! [X0,X1] :
( ~ subq(X0,sF7)
| subq(X0,X1)
| mem(sF6,X0) ),
inference(duplicate_literal_removal,[],[f3595]) ).
fof(f4437,plain,
( ~ subq(sK3(sF9),sK3(sF9))
| ~ spl10_26 ),
inference(forward_demodulation,[],[f1184,f347]) ).
fof(f4487,plain,
( $false
| ~ spl10_26 ),
inference(forward_subsumption_resolution,[],[f4437,f135]) ).
fof(f4488,plain,
~ spl10_26,
inference(avatar_contradiction_clause,[],[f4487]) ).
fof(f4539,plain,
( spl10_28
| spl10_25
| spl10_27 ),
inference(avatar_split_clause,[],[f3155,f363,f341,f367]) ).
fof(f4593,plain,
( mem(sF7,sK3(sF9))
| subq(sK3(sF9),sK2(sK3(sF9)))
| ~ spl10_38 ),
inference(superposition,[],[f51,f781]) ).
fof(f4594,plain,
( ~ mem(sF7,sK2(sK3(sF9)))
| subq(sK3(sF9),sK2(sK3(sF9)))
| ~ spl10_38 ),
inference(superposition,[],[f52,f781]) ).
fof(f4622,plain,
( ~ mem(sF7,sK2(sK3(sF9)))
| spl10_25
| ~ spl10_38 ),
inference(forward_subsumption_resolution,[],[f4594,f343]) ).
fof(f4623,plain,
( mem(sF7,sK3(sF9))
| spl10_25
| ~ spl10_38 ),
inference(forward_subsumption_resolution,[],[f4593,f343]) ).
fof(f4649,plain,
( ! [X0] : mem(sF7,u(sK3(sF9),X0))
| spl10_25
| ~ spl10_38 ),
inference(unit_resulting_resolution,[],[f50,f552,f4623]) ).
fof(f4681,plain,
( ~ subq(s(sF7),sK2(sK3(sF9)))
| spl10_25
| ~ spl10_38 ),
inference(unit_resulting_resolution,[],[f162,f4622]) ).
fof(f5009,plain,
( mem(sF4,sK2(sK3(sF9)))
| subq(sK2(sK3(sF9)),sF4)
| ~ spl10_22
| ~ spl10_57 ),
inference(superposition,[],[f51,f2128]) ).
fof(f5014,plain,
( mem(sK0(sK3(sF9),sK2(sK3(sF9))),sK3(sF9))
| spl10_25 ),
inference(unit_resulting_resolution,[],[f51,f343]) ).
fof(f5015,plain,
( ~ mem(sK0(sK3(sF9),sK2(sK3(sF9))),sK2(sK3(sF9)))
| spl10_25 ),
inference(unit_resulting_resolution,[],[f52,f343]) ).
fof(f5247,plain,
( ~ mem(sK0(sF9,sK3(sF9)),sF6)
| spl10_1
| ~ spl10_22
| ~ spl10_53 ),
inference(unit_resulting_resolution,[],[f50,f1762,f3066]) ).
fof(f5303,plain,
( ! [X0] :
( subq(sK0(sF9,sK3(sF9)),X0)
| mem(sF6,sK0(sF9,sK3(sF9))) )
| ~ spl10_44 ),
inference(resolution,[],[f3643,f1806]) ).
fof(f5308,plain,
( ! [X0] : subq(sK0(sF9,sK3(sF9)),X0)
| ~ spl10_44
| spl10_91 ),
inference(forward_subsumption_resolution,[],[f5303,f3420]) ).
fof(f5856,plain,
( mem(sK0(sK2(sK3(sF9)),sF6),sF9)
| spl10_39 ),
inference(unit_resulting_resolution,[],[f50,f146,f1019]) ).
fof(f5872,plain,
( mem(sK0(sK2(sK3(sF9)),sF6),sF8)
| mem(sK0(sK2(sK3(sF9)),sF6),sF6)
| spl10_39 ),
inference(resolution,[],[f5856,f110]) ).
fof(f5875,plain,
( mem(sK0(sK2(sK3(sF9)),sF6),sF8)
| spl10_39 ),
inference(forward_subsumption_resolution,[],[f5872,f1024]) ).
fof(f5886,plain,
( subq(sK0(sK2(sK3(sF9)),sF6),sF7)
| spl10_39 ),
inference(resolution,[],[f5875,f113]) ).
fof(f5899,plain,
( ! [X0] :
( subq(sK0(sK2(sK3(sF9)),sF6),X0)
| mem(sF6,sK0(sK2(sK3(sF9)),sF6)) )
| spl10_39 ),
inference(resolution,[],[f5886,f3643]) ).
fof(f5902,plain,
( sF7 = sK0(sK2(sK3(sF9)),sF6)
| ~ subq(sF7,sK0(sK2(sK3(sF9)),sF6))
| spl10_39 ),
inference(resolution,[],[f5886,f53]) ).
fof(f5905,definition,
( spl10_114
<=> subq(sF7,sK0(sK2(sK3(sF9)),sF6)) ),
introduced(definition,[new_symbols(definition,[spl10_114])],[avatar_definition]) ).
fof(f5907,plain,
( ~ subq(sF7,sK0(sK2(sK3(sF9)),sF6))
| spl10_114 ),
inference(avatar_component_clause,[],[f5905]) ).
fof(f5909,definition,
( spl10_115
<=> sF7 = sK0(sK2(sK3(sF9)),sF6) ),
introduced(definition,[new_symbols(definition,[spl10_115])],[avatar_definition]) ).
fof(f5911,plain,
( sF7 = sK0(sK2(sK3(sF9)),sF6)
| ~ spl10_115 ),
inference(avatar_component_clause,[],[f5909]) ).
fof(f5912,plain,
( ~ spl10_114
| spl10_115
| spl10_39 ),
inference(avatar_split_clause,[],[f5902,f816,f5909,f5905]) ).
fof(f5914,definition,
( spl10_116
<=> mem(sF6,sK0(sK2(sK3(sF9)),sF6)) ),
introduced(definition,[new_symbols(definition,[spl10_116])],[avatar_definition]) ).
fof(f5916,plain,
( mem(sF6,sK0(sK2(sK3(sF9)),sF6))
| ~ spl10_116 ),
inference(avatar_component_clause,[],[f5914]) ).
fof(f5923,definition,
( spl10_118
<=> ! [X0] : subq(sK0(sK2(sK3(sF9)),sF6),X0) ),
introduced(definition,[new_symbols(definition,[spl10_118])],[avatar_definition]) ).
fof(f5924,plain,
( ! [X0] : subq(sK0(sK2(sK3(sF9)),sF6),X0)
| ~ spl10_118 ),
inference(avatar_component_clause,[],[f5923]) ).
fof(f5925,plain,
( spl10_116
| spl10_118
| spl10_39 ),
inference(avatar_split_clause,[],[f5899,f816,f5923,f5914]) ).
fof(f5966,plain,
( e = sK0(sK2(sK3(sF9)),sF6)
| ~ spl10_118 ),
inference(resolution,[],[f5924,f191]) ).
fof(f6054,plain,
( mem(e,sK2(sK3(sF9)))
| subq(sK2(sK3(sF9)),sF6)
| ~ spl10_118 ),
inference(superposition,[],[f51,f5966]) ).
fof(f6478,plain,
( mem(sK0(sF9,sK3(sF9)),sF8)
| spl10_1
| spl10_43 ),
inference(unit_resulting_resolution,[],[f110,f1275,f1048]) ).
fof(f6725,plain,
( e = sK0(sF9,sK3(sF9))
| ~ spl10_44
| spl10_91 ),
inference(resolution,[],[f5308,f191]) ).
fof(f6752,plain,
( ~ subq(s(e),sK3(sF9))
| spl10_1
| ~ spl10_44
| spl10_91 ),
inference(backward_demodulation,[],[f3063,f6725]) ).
fof(f6753,plain,
( ~ mem(e,sK2(sK3(sF9)))
| spl10_1
| ~ spl10_44
| spl10_91 ),
inference(backward_demodulation,[],[f3066,f6725]) ).
fof(f6892,plain,
( ~ subq(sF4,sK3(sF9))
| spl10_1
| ~ spl10_44
| spl10_91 ),
inference(forward_demodulation,[],[f6752,f80]) ).
fof(f6902,plain,
( $false
| spl10_1
| ~ spl10_44
| ~ spl10_51
| spl10_91 ),
inference(forward_subsumption_resolution,[],[f6892,f1901]) ).
fof(f6903,plain,
( spl10_1
| ~ spl10_44
| ~ spl10_51
| spl10_91 ),
inference(avatar_contradiction_clause,[],[f6902]) ).
fof(f6934,plain,
( ~ subq(s(sF7),sK2(sK3(sF9)))
| spl10_1
| ~ spl10_56 ),
inference(forward_demodulation,[],[f3081,f1823]) ).
fof(f6941,plain,
( ~ mem(sF7,u(sK3(sF9),sK2(sK3(sF9))))
| spl10_1
| ~ spl10_56 ),
inference(forward_demodulation,[],[f3096,f1823]) ).
fof(f6996,plain,
( $false
| spl10_1
| spl10_25
| ~ spl10_38
| ~ spl10_56 ),
inference(forward_subsumption_resolution,[],[f6941,f4649]) ).
fof(f6997,plain,
( spl10_1
| spl10_25
| ~ spl10_38
| ~ spl10_56 ),
inference(avatar_contradiction_clause,[],[f6996]) ).
fof(f7047,plain,
( subq(s(sK0(sK3(sF9),sK2(sK3(sF9)))),sK3(sF9))
| spl10_25 ),
inference(unit_resulting_resolution,[],[f392,f5014]) ).
fof(f7108,plain,
( ~ subq(s(sK0(sK3(sF9),sK2(sK3(sF9)))),sK2(sK3(sF9)))
| spl10_25 ),
inference(unit_resulting_resolution,[],[f162,f5015]) ).
fof(f7196,plain,
( ! [X0] : subq(sK0(sK3(sF9),sK2(sK3(sF9))),X0)
| spl10_25
| spl10_27
| spl10_37 ),
inference(unit_resulting_resolution,[],[f3643,f949,f3456]) ).
fof(f7723,plain,
( subq(sF6,p(sF4))
| ~ spl10_22 ),
inference(resolution,[],[f460,f2979]) ).
fof(f13052,plain,
( e = sK0(sK3(sF9),sK2(sK3(sF9)))
| spl10_25
| spl10_27
| spl10_37 ),
inference(resolution,[],[f7196,f191]) ).
fof(f13118,plain,
( ~ subq(s(e),sK2(sK3(sF9)))
| spl10_25
| spl10_27
| spl10_37 ),
inference(backward_demodulation,[],[f7108,f13052]) ).
fof(f13718,plain,
( ~ subq(sF4,sK2(sK3(sF9)))
| spl10_25
| spl10_27
| spl10_37 ),
inference(forward_demodulation,[],[f13118,f80]) ).
fof(f13737,plain,
( $false
| spl10_25
| spl10_27
| spl10_37
| ~ spl10_51 ),
inference(forward_subsumption_resolution,[],[f13718,f1902]) ).
fof(f13738,plain,
( spl10_25
| spl10_27
| spl10_37
| ~ spl10_51 ),
inference(avatar_contradiction_clause,[],[f13737]) ).
fof(f13834,plain,
( subq(sK2(sK3(sF9)),sF4)
| spl10_1
| ~ spl10_22
| ~ spl10_43
| ~ spl10_57 ),
inference(forward_subsumption_resolution,[],[f5009,f1684]) ).
fof(f14083,plain,
( $false
| spl10_1
| ~ spl10_22
| ~ spl10_43
| spl10_52
| ~ spl10_57 ),
inference(forward_subsumption_resolution,[],[f13834,f1557]) ).
fof(f14084,plain,
( spl10_1
| ~ spl10_22
| ~ spl10_43
| spl10_52
| ~ spl10_57 ),
inference(avatar_contradiction_clause,[],[f14083]) ).
fof(f14338,plain,
( subq(sK0(sK2(sK3(sF9)),sF4),sF7)
| ~ spl10_58 ),
inference(resolution,[],[f1849,f113]) ).
fof(f14441,plain,
( ! [X0] :
( subq(sK0(sK2(sK3(sF9)),sF4),X0)
| mem(sF6,sK0(sK2(sK3(sF9)),sF4)) )
| ~ spl10_58 ),
inference(resolution,[],[f14338,f3643]) ).
fof(f14444,plain,
( sF7 = sK0(sK2(sK3(sF9)),sF4)
| ~ subq(sF7,sK0(sK2(sK3(sF9)),sF4))
| ~ spl10_58 ),
inference(resolution,[],[f14338,f53]) ).
fof(f14448,definition,
( spl10_141
<=> subq(sF7,sK0(sK2(sK3(sF9)),sF4)) ),
introduced(definition,[new_symbols(definition,[spl10_141])],[avatar_definition]) ).
fof(f14450,plain,
( ~ subq(sF7,sK0(sK2(sK3(sF9)),sF4))
| spl10_141 ),
inference(avatar_component_clause,[],[f14448]) ).
fof(f14452,definition,
( spl10_142
<=> sF7 = sK0(sK2(sK3(sF9)),sF4) ),
introduced(definition,[new_symbols(definition,[spl10_142])],[avatar_definition]) ).
fof(f14454,plain,
( sF7 = sK0(sK2(sK3(sF9)),sF4)
| ~ spl10_142 ),
inference(avatar_component_clause,[],[f14452]) ).
fof(f14455,plain,
( ~ spl10_141
| spl10_142
| ~ spl10_58 ),
inference(avatar_split_clause,[],[f14444,f1847,f14452,f14448]) ).
fof(f14457,definition,
( spl10_143
<=> mem(sF6,sK0(sK2(sK3(sF9)),sF4)) ),
introduced(definition,[new_symbols(definition,[spl10_143])],[avatar_definition]) ).
fof(f14459,plain,
( mem(sF6,sK0(sK2(sK3(sF9)),sF4))
| ~ spl10_143 ),
inference(avatar_component_clause,[],[f14457]) ).
fof(f14466,definition,
( spl10_145
<=> ! [X0] : subq(sK0(sK2(sK3(sF9)),sF4),X0) ),
introduced(definition,[new_symbols(definition,[spl10_145])],[avatar_definition]) ).
fof(f14467,plain,
( ! [X0] : subq(sK0(sK2(sK3(sF9)),sF4),X0)
| ~ spl10_145 ),
inference(avatar_component_clause,[],[f14466]) ).
fof(f14468,plain,
( spl10_143
| spl10_145
| ~ spl10_58 ),
inference(avatar_split_clause,[],[f14441,f1847,f14466,f14457]) ).
fof(f14587,plain,
( subq(s(sK0(sK2(sK3(sF9)),sF4)),sK2(sK3(sF9)))
| spl10_52 ),
inference(unit_resulting_resolution,[],[f392,f2296]) ).
fof(f15024,plain,
( e = sK0(sK2(sK3(sF9)),sF4)
| ~ spl10_145 ),
inference(resolution,[],[f14467,f191]) ).
fof(f15049,plain,
( ~ mem(e,sF4)
| spl10_52
| ~ spl10_145 ),
inference(backward_demodulation,[],[f2297,f15024]) ).
fof(f15243,plain,
( $false
| spl10_52
| ~ spl10_145 ),
inference(forward_subsumption_resolution,[],[f15049,f92]) ).
fof(f15244,plain,
( spl10_52
| ~ spl10_145 ),
inference(avatar_contradiction_clause,[],[f15243]) ).
fof(f15404,plain,
( subq(s(sF6),sK0(sK2(sK3(sF9)),sF4))
| ~ spl10_143 ),
inference(unit_resulting_resolution,[],[f392,f14459]) ).
fof(f15471,plain,
( subq(sF7,sK0(sK2(sK3(sF9)),sF4))
| ~ spl10_143 ),
inference(forward_demodulation,[],[f15404,f86]) ).
fof(f15472,plain,
( $false
| spl10_141
| ~ spl10_143 ),
inference(forward_subsumption_resolution,[],[f15471,f14450]) ).
fof(f15473,plain,
( spl10_141
| ~ spl10_143 ),
inference(avatar_contradiction_clause,[],[f15472]) ).
fof(f15477,plain,
( ! [X0] : mem(sF7,u(X0,sK2(sK3(sF9))))
| spl10_52
| ~ spl10_142 ),
inference(backward_demodulation,[],[f2293,f14454]) ).
fof(f15479,plain,
( mem(sF7,sK2(sK3(sF9)))
| spl10_52
| ~ spl10_142 ),
inference(backward_demodulation,[],[f2296,f14454]) ).
fof(f15658,plain,
( $false
| spl10_25
| ~ spl10_38
| spl10_52
| ~ spl10_142 ),
inference(forward_subsumption_resolution,[],[f15479,f4622]) ).
fof(f15659,plain,
( spl10_25
| ~ spl10_38
| spl10_52
| ~ spl10_142 ),
inference(avatar_contradiction_clause,[],[f15658]) ).
fof(f15673,definition,
( spl10_154
<=> mem(sF7,sK2(sK3(sF9))) ),
introduced(definition,[new_symbols(definition,[spl10_154])],[avatar_definition]) ).
fof(f15674,plain,
( mem(sF7,sK2(sK3(sF9)))
| ~ spl10_154 ),
inference(avatar_component_clause,[],[f15673]) ).
fof(f15675,plain,
( ~ mem(sF7,sK2(sK3(sF9)))
| spl10_154 ),
inference(avatar_component_clause,[],[f15673]) ).
fof(f15678,plain,
( ~ mem(sF4,sK2(sK3(sF9)))
| ~ spl10_22
| spl10_25
| ~ spl10_27 ),
inference(forward_demodulation,[],[f5015,f635]) ).
fof(f15685,plain,
( subq(s(sF4),sK3(sF9))
| ~ spl10_22
| spl10_25
| ~ spl10_27 ),
inference(forward_demodulation,[],[f7047,f635]) ).
fof(f15692,plain,
( ~ subq(s(sF4),sK2(sK3(sF9)))
| ~ spl10_22
| spl10_25
| ~ spl10_27 ),
inference(forward_demodulation,[],[f7108,f635]) ).
fof(f15767,plain,
( subq(sF6,sK3(sF9))
| ~ spl10_22
| spl10_25
| ~ spl10_27 ),
inference(forward_demodulation,[],[f15685,f428]) ).
fof(f15770,plain,
( ~ subq(sF6,sK2(sK3(sF9)))
| ~ spl10_22
| spl10_25
| ~ spl10_27 ),
inference(forward_demodulation,[],[f15692,f428]) ).
fof(f15794,plain,
( $false
| spl10_1
| ~ spl10_22
| spl10_25
| ~ spl10_27
| ~ spl10_43 ),
inference(forward_subsumption_resolution,[],[f15767,f1680]) ).
fof(f15795,plain,
( spl10_1
| ~ spl10_22
| spl10_25
| ~ spl10_27
| ~ spl10_43 ),
inference(avatar_contradiction_clause,[],[f15794]) ).
fof(f15798,plain,
( spl10_44
| spl10_1
| spl10_43 ),
inference(avatar_split_clause,[],[f6478,f1047,f179,f1051]) ).
fof(f15824,plain,
( ~ mem(sF7,sK2(sK3(sF9)))
| spl10_1
| ~ spl10_56 ),
inference(forward_demodulation,[],[f3066,f1823]) ).
fof(f15840,plain,
( ~ mem(sF7,u(e,sK2(sK3(sF9))))
| spl10_1
| ~ spl10_56 ),
inference(forward_demodulation,[],[f3098,f1823]) ).
fof(f15860,plain,
( $false
| spl10_1
| ~ spl10_56
| ~ spl10_154 ),
inference(forward_subsumption_resolution,[],[f15824,f15674]) ).
fof(f15861,plain,
( spl10_1
| ~ spl10_56
| ~ spl10_154 ),
inference(avatar_contradiction_clause,[],[f15860]) ).
fof(f15874,plain,
( $false
| spl10_1
| spl10_52
| ~ spl10_56
| ~ spl10_142 ),
inference(forward_subsumption_resolution,[],[f15840,f15477]) ).
fof(f15875,plain,
( spl10_1
| spl10_52
| ~ spl10_56
| ~ spl10_142 ),
inference(avatar_contradiction_clause,[],[f15874]) ).
fof(f15905,plain,
( subq(s(sF4),sK2(sK3(sF9)))
| ~ spl10_22
| spl10_52
| ~ spl10_57 ),
inference(forward_demodulation,[],[f14587,f2128]) ).
fof(f15912,plain,
( subq(sF6,sK2(sK3(sF9)))
| ~ spl10_22
| spl10_52
| ~ spl10_57 ),
inference(forward_demodulation,[],[f15905,f428]) ).
fof(f15913,plain,
( $false
| ~ spl10_22
| spl10_25
| ~ spl10_27
| spl10_52
| ~ spl10_57 ),
inference(forward_subsumption_resolution,[],[f15912,f15770]) ).
fof(f15914,plain,
( ~ spl10_22
| spl10_25
| ~ spl10_27
| spl10_52
| ~ spl10_57 ),
inference(avatar_contradiction_clause,[],[f15913]) ).
fof(f16034,plain,
( subq(sK2(sK3(sF9)),sF6)
| spl10_1
| ~ spl10_44
| spl10_91
| ~ spl10_118 ),
inference(forward_subsumption_resolution,[],[f6054,f6753]) ).
fof(f16163,plain,
( $false
| spl10_1
| spl10_39
| ~ spl10_44
| spl10_91
| ~ spl10_118 ),
inference(forward_subsumption_resolution,[],[f16034,f818]) ).
fof(f16164,plain,
( spl10_1
| spl10_39
| ~ spl10_44
| spl10_91
| ~ spl10_118 ),
inference(avatar_contradiction_clause,[],[f16163]) ).
fof(f16249,plain,
( sF4 = sK1(sK2(sK3(sF9)))
| ~ spl10_22
| ~ spl10_39 ),
inference(forward_subsumption_resolution,[],[f1535,f817]) ).
fof(f16269,plain,
( ~ subq(sK2(sK3(sF9)),p(sF4))
| ~ spl10_22
| ~ spl10_39 ),
inference(backward_demodulation,[],[f649,f16249]) ).
fof(f16293,plain,
( ~ subq(s(sF4),sF6)
| ~ spl10_22
| spl10_35
| ~ spl10_39 ),
inference(backward_demodulation,[],[f1427,f16249]) ).
fof(f16345,plain,
( ~ subq(sF6,sF6)
| ~ spl10_22
| spl10_35
| ~ spl10_39 ),
inference(forward_demodulation,[],[f16293,f428]) ).
fof(f16356,plain,
( $false
| ~ spl10_22
| spl10_35
| ~ spl10_39 ),
inference(forward_subsumption_resolution,[],[f16345,f135]) ).
fof(f16357,plain,
( ~ spl10_22
| spl10_35
| ~ spl10_39 ),
inference(avatar_contradiction_clause,[],[f16356]) ).
fof(f17074,plain,
( ~ subq(sF6,p(sF4))
| ~ spl10_22
| ~ spl10_39
| ~ spl10_40 ),
inference(backward_demodulation,[],[f16269,f822]) ).
fof(f17107,plain,
( $false
| ~ spl10_22
| ~ spl10_39
| ~ spl10_40 ),
inference(forward_subsumption_resolution,[],[f17074,f7723]) ).
fof(f17108,plain,
( ~ spl10_22
| ~ spl10_39
| ~ spl10_40 ),
inference(avatar_contradiction_clause,[],[f17107]) ).
fof(f17284,definition,
( spl10_158
<=> subq(sK1(sK2(sK3(sF9))),sF7) ),
introduced(definition,[new_symbols(definition,[spl10_158])],[avatar_definition]) ).
fof(f17286,plain,
( subq(sK1(sK2(sK3(sF9))),sF7)
| ~ spl10_158 ),
inference(avatar_component_clause,[],[f17284]) ).
fof(f17288,definition,
( spl10_159
<=> subq(sK2(sK3(sF9)),sF8) ),
introduced(definition,[new_symbols(definition,[spl10_159])],[avatar_definition]) ).
fof(f17289,plain,
( subq(sK2(sK3(sF9)),sF8)
| ~ spl10_159 ),
inference(avatar_component_clause,[],[f17288]) ).
fof(f17290,plain,
( ~ subq(sK2(sK3(sF9)),sF8)
| spl10_159 ),
inference(avatar_component_clause,[],[f17288]) ).
fof(f17291,plain,
( spl10_158
| ~ spl10_159 ),
inference(avatar_split_clause,[],[f1538,f17288,f17284]) ).
fof(f17836,plain,
( ~ mem(sK0(sK2(sK3(sF9)),sF8),sF8)
| spl10_159 ),
inference(unit_resulting_resolution,[],[f52,f17290]) ).
fof(f17838,plain,
( mem(sK0(sK2(sK3(sF9)),sF8),sK3(sF9))
| spl10_159 ),
inference(unit_resulting_resolution,[],[f168,f326,f17290]) ).
fof(f19560,plain,
( mem(sK0(sK2(sK3(sF9)),sF8),sF9)
| spl10_159 ),
inference(unit_resulting_resolution,[],[f50,f146,f17838]) ).
fof(f19606,plain,
( mem(sK0(sK2(sK3(sF9)),sF8),sF8)
| mem(sK0(sK2(sK3(sF9)),sF8),sF6)
| spl10_159 ),
inference(resolution,[],[f19560,f110]) ).
fof(f19610,plain,
( mem(sK0(sK2(sK3(sF9)),sF8),sF6)
| spl10_159 ),
inference(forward_subsumption_resolution,[],[f19606,f17836]) ).
fof(f19640,plain,
( sF4 = sK0(sK2(sK3(sF9)),sF8)
| ~ spl10_22
| spl10_159 ),
inference(resolution,[],[f19610,f430]) ).
fof(f19714,plain,
( mem(sF4,sK2(sK3(sF9)))
| subq(sK2(sK3(sF9)),sF8)
| ~ spl10_22
| spl10_159 ),
inference(superposition,[],[f51,f19640]) ).
fof(f19791,plain,
( mem(sK0(sK2(sK3(sF9)),sF6),sK2(sK3(sF9)))
| spl10_39 ),
inference(unit_resulting_resolution,[],[f51,f818]) ).
fof(f20210,plain,
( subq(s(sK0(sK2(sK3(sF9)),sF6)),sK2(sK3(sF9)))
| spl10_39 ),
inference(unit_resulting_resolution,[],[f392,f19791]) ).
fof(f20520,plain,
( subq(s(sF6),sK0(sK2(sK3(sF9)),sF6))
| ~ spl10_116 ),
inference(unit_resulting_resolution,[],[f392,f5916]) ).
fof(f20587,plain,
( subq(sF7,sK0(sK2(sK3(sF9)),sF6))
| ~ spl10_116 ),
inference(forward_demodulation,[],[f20520,f86]) ).
fof(f20588,plain,
( $false
| spl10_114
| ~ spl10_116 ),
inference(forward_subsumption_resolution,[],[f20587,f5907]) ).
fof(f20589,plain,
( spl10_114
| ~ spl10_116 ),
inference(avatar_contradiction_clause,[],[f20588]) ).
fof(f20593,plain,
( mem(sF7,sK2(sK3(sF9)))
| spl10_39
| ~ spl10_115 ),
inference(backward_demodulation,[],[f19791,f5911]) ).
fof(f20603,plain,
( subq(s(sF7),sK2(sK3(sF9)))
| spl10_39
| ~ spl10_115 ),
inference(backward_demodulation,[],[f20210,f5911]) ).
fof(f20691,plain,
( $false
| spl10_25
| ~ spl10_38
| spl10_39
| ~ spl10_115 ),
inference(forward_subsumption_resolution,[],[f20603,f4681]) ).
fof(f20692,plain,
( spl10_25
| ~ spl10_38
| spl10_39
| ~ spl10_115 ),
inference(avatar_contradiction_clause,[],[f20691]) ).
fof(f20693,plain,
( $false
| spl10_39
| ~ spl10_115
| spl10_154 ),
inference(forward_subsumption_resolution,[],[f20593,f15675]) ).
fof(f20694,plain,
( spl10_39
| ~ spl10_115
| spl10_154 ),
inference(avatar_contradiction_clause,[],[f20693]) ).
fof(f20755,plain,
( subq(s(e),sK3(sF9))
| spl10_25
| spl10_27
| spl10_37 ),
inference(forward_demodulation,[],[f7047,f13052]) ).
fof(f20819,plain,
( subq(sF4,sK3(sF9))
| spl10_25
| spl10_27
| spl10_37 ),
inference(forward_demodulation,[],[f20755,f80]) ).
fof(f20850,plain,
( $false
| spl10_1
| spl10_25
| spl10_27
| spl10_37
| ~ spl10_44
| spl10_91 ),
inference(forward_subsumption_resolution,[],[f20819,f6892]) ).
fof(f20851,plain,
( spl10_1
| spl10_25
| spl10_27
| spl10_37
| ~ spl10_44
| spl10_91 ),
inference(avatar_contradiction_clause,[],[f20850]) ).
fof(f20856,plain,
( spl10_36
| spl10_35 ),
inference(avatar_split_clause,[],[f1445,f676,f680]) ).
fof(f20857,plain,
( spl10_158
| ~ spl10_36 ),
inference(avatar_split_clause,[],[f1377,f680,f17284]) ).
fof(f20936,plain,
( subq(sK2(sK3(sF9)),sF8)
| ~ spl10_22
| spl10_25
| ~ spl10_27
| spl10_159 ),
inference(forward_subsumption_resolution,[],[f19714,f15678]) ).
fof(f21016,plain,
( $false
| ~ spl10_22
| spl10_25
| ~ spl10_27
| spl10_159 ),
inference(forward_subsumption_resolution,[],[f20936,f17290]) ).
fof(f21017,plain,
( ~ spl10_22
| spl10_25
| ~ spl10_27
| spl10_159 ),
inference(avatar_contradiction_clause,[],[f21016]) ).
fof(f26376,plain,
( ~ mem(sK0(sK2(sK3(sF9)),p(sK1(sK2(sK3(sF9))))),u(sF6,p(sK1(sK2(sK3(sF9))))))
| spl10_53 ),
inference(unit_resulting_resolution,[],[f57,f1715,f1477]) ).
fof(f27422,plain,
( ! [X0] : subq(sK1(sK2(sK3(sF9))),X0)
| spl10_45
| ~ spl10_158 ),
inference(unit_resulting_resolution,[],[f3643,f1636,f17286]) ).
fof(f27469,plain,
( e = sK1(sK2(sK3(sF9)))
| spl10_45
| ~ spl10_158 ),
inference(unit_resulting_resolution,[],[f191,f27422]) ).
fof(f27504,plain,
( $false
| spl10_45
| spl10_51
| ~ spl10_158 ),
inference(forward_subsumption_resolution,[],[f27469,f1552]) ).
fof(f27505,plain,
( spl10_45
| spl10_51
| ~ spl10_158 ),
inference(avatar_contradiction_clause,[],[f27504]) ).
fof(f27506,plain,
( ~ subq(sK2(sK3(sF9)),p(sF7))
| ~ spl10_46 ),
inference(backward_demodulation,[],[f649,f1399]) ).
fof(f27508,plain,
( subq(s(sF7),sK2(sK3(sF9)))
| ~ spl10_46 ),
inference(backward_demodulation,[],[f651,f1399]) ).
fof(f27535,plain,
( mem(sK0(sK2(sK3(sF9)),p(sF7)),sF9)
| ~ spl10_46 ),
inference(backward_demodulation,[],[f1488,f1399]) ).
fof(f27779,plain,
( ~ mem(sK0(sK2(sK3(sF9)),p(sF7)),u(sF6,p(sF7)))
| ~ spl10_46
| spl10_53 ),
inference(backward_demodulation,[],[f26376,f1399]) ).
fof(f28201,plain,
( ~ mem(sK0(sK2(sK3(sF9)),sF8),u(sF6,sF8))
| ~ spl10_46
| spl10_53 ),
inference(forward_demodulation,[],[f27779,f88]) ).
fof(f28338,plain,
( mem(sK0(sK2(sK3(sF9)),sF8),sF9)
| ~ spl10_46 ),
inference(forward_demodulation,[],[f27535,f88]) ).
fof(f28349,plain,
( ~ subq(sK2(sK3(sF9)),sF8)
| ~ spl10_46 ),
inference(forward_demodulation,[],[f27506,f88]) ).
fof(f28368,plain,
( ~ mem(sK0(sK2(sK3(sF9)),sF8),sF9)
| ~ spl10_46
| spl10_53 ),
inference(forward_demodulation,[],[f28201,f90]) ).
fof(f28379,plain,
( $false
| ~ spl10_46
| ~ spl10_159 ),
inference(forward_subsumption_resolution,[],[f28349,f17289]) ).
fof(f28380,plain,
( ~ spl10_46
| ~ spl10_159 ),
inference(avatar_contradiction_clause,[],[f28379]) ).
fof(f28382,plain,
( $false
| ~ spl10_46
| spl10_53 ),
inference(forward_subsumption_resolution,[],[f28368,f28338]) ).
fof(f28383,plain,
( ~ spl10_46
| spl10_53 ),
inference(avatar_contradiction_clause,[],[f28382]) ).
fof(f28409,plain,
( ~ spl10_43
| spl10_1
| ~ spl10_22
| ~ spl10_53 ),
inference(avatar_split_clause,[],[f5247,f1714,f316,f179,f1047]) ).
fof(f28652,plain,
( subq(s(e),sK2(sK3(sF9)))
| spl10_39
| ~ spl10_118 ),
inference(forward_demodulation,[],[f20210,f5966]) ).
fof(f28676,plain,
( $false
| spl10_1
| ~ spl10_46
| ~ spl10_56 ),
inference(forward_subsumption_resolution,[],[f27508,f6934]) ).
fof(f28677,plain,
( spl10_1
| ~ spl10_46
| ~ spl10_56 ),
inference(avatar_contradiction_clause,[],[f28676]) ).
fof(f28878,plain,
( subq(sF4,sK2(sK3(sF9)))
| spl10_39
| ~ spl10_118 ),
inference(forward_demodulation,[],[f28652,f80]) ).
fof(f28945,plain,
( $false
| spl10_25
| spl10_27
| spl10_37
| spl10_39
| ~ spl10_118 ),
inference(forward_subsumption_resolution,[],[f28878,f13718]) ).
fof(f28946,plain,
( spl10_25
| spl10_27
| spl10_37
| spl10_39
| ~ spl10_118 ),
inference(avatar_contradiction_clause,[],[f28945]) ).
cnf(s1,plain,
( ~ spl10_1
| spl10_2 ),
inference(sat_conversion,[],[f186]) ).
cnf(s12,plain,
( ~ spl10_21
| spl10_22 ),
inference(sat_conversion,[],[f319]) ).
cnf(s14,plain,
( ~ spl10_25
| spl10_26 ),
inference(sat_conversion,[],[f348]) ).
cnf(s16,plain,
spl10_21,
inference(sat_conversion,[],[f426]) ).
cnf(s21,plain,
( ~ spl10_22
| spl10_25
| ~ spl10_27
| ~ spl10_35 ),
inference(sat_conversion,[],[f750]) ).
cnf(s22,plain,
( ~ spl10_28
| ~ spl10_37
| spl10_38 ),
inference(sat_conversion,[],[f782]) ).
cnf(s23,plain,
( ~ spl10_22
| ~ spl10_35
| ~ spl10_39
| spl10_40 ),
inference(sat_conversion,[],[f823]) ).
cnf(s26,plain,
~ spl10_2,
inference(sat_conversion,[],[f1158]) ).
cnf(s27,plain,
( spl10_1
| ~ spl10_22
| ~ spl10_35
| ~ spl10_43 ),
inference(sat_conversion,[],[f1363]) ).
cnf(s29,plain,
( ~ spl10_36
| ~ spl10_45
| spl10_46 ),
inference(sat_conversion,[],[f1400]) ).
cnf(s38,plain,
( ~ spl10_44
| ~ spl10_55
| spl10_56 ),
inference(sat_conversion,[],[f1824]) ).
cnf(s39,plain,
( spl10_52
| spl10_57
| spl10_58 ),
inference(sat_conversion,[],[f1850]) ).
cnf(s40,plain,
( ~ spl10_22
| ~ spl10_51
| ~ spl10_52 ),
inference(sat_conversion,[],[f2040]) ).
cnf(s66,plain,
( spl10_55
| ~ spl10_91 ),
inference(sat_conversion,[],[f3578]) ).
cnf(s105,plain,
~ spl10_26,
inference(sat_conversion,[],[f4488]) ).
cnf(s111,plain,
( spl10_25
| spl10_27
| spl10_28 ),
inference(sat_conversion,[],[f4539]) ).
cnf(s140,plain,
( spl10_39
| ~ spl10_114
| spl10_115 ),
inference(sat_conversion,[],[f5912]) ).
cnf(s142,plain,
( spl10_39
| spl10_116
| spl10_118 ),
inference(sat_conversion,[],[f5925]) ).
cnf(s171,plain,
( spl10_1
| ~ spl10_44
| ~ spl10_51
| spl10_91 ),
inference(sat_conversion,[],[f6903]) ).
cnf(s178,plain,
( spl10_1
| spl10_25
| ~ spl10_38
| ~ spl10_56 ),
inference(sat_conversion,[],[f6997]) ).
cnf(s216,plain,
( spl10_25
| spl10_27
| spl10_37
| ~ spl10_51 ),
inference(sat_conversion,[],[f13738]) ).
cnf(s242,plain,
( spl10_1
| ~ spl10_22
| ~ spl10_43
| spl10_52
| ~ spl10_57 ),
inference(sat_conversion,[],[f14084]) ).
cnf(s244,plain,
( ~ spl10_58
| ~ spl10_141
| spl10_142 ),
inference(sat_conversion,[],[f14455]) ).
cnf(s246,plain,
( ~ spl10_58
| spl10_143
| spl10_145 ),
inference(sat_conversion,[],[f14468]) ).
cnf(s252,plain,
( spl10_52
| ~ spl10_145 ),
inference(sat_conversion,[],[f15244]) ).
cnf(s257,plain,
( spl10_141
| ~ spl10_143 ),
inference(sat_conversion,[],[f15473]) ).
cnf(s259,plain,
( spl10_25
| ~ spl10_38
| spl10_52
| ~ spl10_142 ),
inference(sat_conversion,[],[f15659]) ).
cnf(s265,plain,
( spl10_1
| ~ spl10_22
| spl10_25
| ~ spl10_27
| ~ spl10_43 ),
inference(sat_conversion,[],[f15795]) ).
cnf(s266,plain,
( spl10_1
| spl10_43
| spl10_44 ),
inference(sat_conversion,[],[f15798]) ).
cnf(s281,plain,
( spl10_1
| ~ spl10_56
| ~ spl10_154 ),
inference(sat_conversion,[],[f15861]) ).
cnf(s287,plain,
( spl10_1
| spl10_52
| ~ spl10_56
| ~ spl10_142 ),
inference(sat_conversion,[],[f15875]) ).
cnf(s294,plain,
( ~ spl10_22
| spl10_25
| ~ spl10_27
| spl10_52
| ~ spl10_57 ),
inference(sat_conversion,[],[f15914]) ).
cnf(s329,plain,
( spl10_1
| spl10_39
| ~ spl10_44
| spl10_91
| ~ spl10_118 ),
inference(sat_conversion,[],[f16164]) ).
cnf(s341,plain,
( ~ spl10_22
| spl10_35
| ~ spl10_39 ),
inference(sat_conversion,[],[f16357]) ).
cnf(s344,plain,
( ~ spl10_22
| ~ spl10_39
| ~ spl10_40 ),
inference(sat_conversion,[],[f17108]) ).
cnf(s349,plain,
( spl10_158
| ~ spl10_159 ),
inference(sat_conversion,[],[f17291]) ).
cnf(s382,plain,
( spl10_114
| ~ spl10_116 ),
inference(sat_conversion,[],[f20589]) ).
cnf(s383,plain,
( spl10_25
| ~ spl10_38
| spl10_39
| ~ spl10_115 ),
inference(sat_conversion,[],[f20692]) ).
cnf(s384,plain,
( spl10_39
| ~ spl10_115
| spl10_154 ),
inference(sat_conversion,[],[f20694]) ).
cnf(s390,plain,
( spl10_1
| spl10_25
| spl10_27
| spl10_37
| ~ spl10_44
| spl10_91 ),
inference(sat_conversion,[],[f20851]) ).
cnf(s391,plain,
( spl10_35
| spl10_36 ),
inference(sat_conversion,[],[f20856]) ).
cnf(s392,plain,
( ~ spl10_36
| spl10_158 ),
inference(sat_conversion,[],[f20857]) ).
cnf(s414,plain,
( ~ spl10_22
| spl10_25
| ~ spl10_27
| spl10_159 ),
inference(sat_conversion,[],[f21017]) ).
cnf(s476,plain,
( spl10_45
| spl10_51
| ~ spl10_158 ),
inference(sat_conversion,[],[f27505]) ).
cnf(s491,plain,
( ~ spl10_46
| ~ spl10_159 ),
inference(sat_conversion,[],[f28380]) ).
cnf(s492,plain,
( ~ spl10_46
| spl10_53 ),
inference(sat_conversion,[],[f28383]) ).
cnf(s495,plain,
( spl10_1
| ~ spl10_22
| ~ spl10_43
| ~ spl10_53 ),
inference(sat_conversion,[],[f28409]) ).
cnf(s529,plain,
( spl10_1
| ~ spl10_46
| ~ spl10_56 ),
inference(sat_conversion,[],[f28677]) ).
cnf(s551,plain,
( spl10_25
| spl10_27
| spl10_37
| spl10_39
| ~ spl10_118 ),
inference(sat_conversion,[],[f28946]) ).
cnf(s561,plain,
~ spl10_25,
inference(rat,[],[s14,s105]) ).
cnf(s562,plain,
spl10_22,
inference(rat,[],[s12,s16]) ).
cnf(s566,plain,
~ spl10_1,
inference(rat,[],[s1,s26]) ).
cnf(s567,plain,
( spl10_37
| ~ spl10_36
| spl10_27 ),
inference(rat,[],[s66,s38,s390,s266,s495,s492,s529,s29,s476,s216,s392,s561,s566,s562]) ).
cnf(s568,plain,
( ~ spl10_44
| ~ spl10_118
| spl10_56
| spl10_39 ),
inference(rat,[],[s66,s329,s38,s566]) ).
cnf(s569,plain,
( spl10_35
| spl10_27 ),
inference(rat,[],[s257,s244,s246,s39,s242,s259,s252,s40,s476,s29,s492,s495,s266,s568,s142,s382,s140,s178,s383,s22,s567,s392,s341,s391,s111,s562,s566,s561]) ).
cnf(s570,plain,
( ~ spl10_38
| ~ spl10_44
| spl10_39 ),
inference(rat,[],[s142,s382,s568,s140,s178,s383,s561,s566]) ).
cnf(s571,plain,
( spl10_27
| spl10_40 ),
inference(rat,[],[s384,s281,s140,s38,s382,s66,s142,s390,s551,s22,s570,s266,s23,s27,s569,s111,s566,s561,s562]) ).
cnf(s572,plain,
~ spl10_27,
inference(rat,[],[s244,s257,s287,s246,s38,s39,s66,s294,s252,s171,s40,s476,s29,s266,s391,s349,s491,s265,s21,s414,s566,s561,s562]) ).
cnf(s573,plain,
spl10_28,
inference(rat,[],[s111,s561,s572]) ).
cnf(s574,plain,
spl10_35,
inference(rat,[],[s569,s572]) ).
cnf(s575,plain,
spl10_40,
inference(rat,[],[s571,s572]) ).
cnf(s576,plain,
~ spl10_43,
inference(rat,[],[s27,s566,s562,s574]) ).
cnf(s578,plain,
~ spl10_39,
inference(rat,[],[s344,s562,s575]) ).
cnf(s579,plain,
spl10_44,
inference(rat,[],[s266,s566,s576]) ).
cnf(s583,plain,
~ spl10_38,
inference(rat,[],[s570,s578,s579]) ).
cnf(s584,plain,
~ spl10_37,
inference(rat,[],[s22,s573,s583]) ).
cnf(s585,plain,
~ spl10_118,
inference(rat,[],[s551,s578,s572,s561,s584]) ).
cnf(s588,plain,
spl10_91,
inference(rat,[],[s390,s579,s572,s566,s561,s584]) ).
cnf(s589,plain,
spl10_116,
inference(rat,[],[s142,s578,s585]) ).
cnf(s591,plain,
spl10_55,
inference(rat,[],[s66,s588]) ).
cnf(s592,plain,
spl10_114,
inference(rat,[],[s382,s589]) ).
cnf(s594,plain,
spl10_56,
inference(rat,[],[s38,s579,s591]) ).
cnf(s595,plain,
spl10_115,
inference(rat,[],[s140,s578,s592]) ).
cnf(s596,plain,
~ spl10_154,
inference(rat,[],[s281,s566,s594]) ).
cnf(s600,plain,
$false,
inference(rat,[],[s384,s578,s596,s595]) ).
fof(f28957,plain,
$false,
inference(avatar_sat_refutation,[],[s600]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV543+1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n006.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Mon Sep 28 06:31:11 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 9.64/2.22 % (3768225)Detected formulas, will run a generic FOF schedule.
% 9.64/2.22 % (3768230)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=1521373119:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 9.64/2.22 % (3768234)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=634655521:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 9.64/2.22 % (3768233)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3077617125:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 9.64/2.22 % (3768231)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=3294094413:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 9.64/2.22 % (3768236)dis-21_1_sil=8000:lcm=predicate:random_seed=1425086528: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)
% 9.64/2.22 % (3768232)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=2720038078:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 9.64/2.22 % (3768235)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=768837710:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 9.64/2.22 % (3768233)Refutation not found, incomplete strategy
% 9.64/2.22 % (3768233)------------------------------
% 9.64/2.22 % (3768233)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.64/2.22 % (3768233)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.64/2.22 % (3768233)CaDiCaL version: 2.1.3
% 9.64/2.22 % (3768233)Termination reason: Refutation not found, incomplete strategy
% 9.64/2.22 % (3768233)Time elapsed: 0.001 s
% 9.64/2.22 % (3768233)Peak memory usage: 88 MB
% 9.64/2.22 % (3768234)Instruction limit reached!
% 9.64/2.22 % (3768234)------------------------------
% 9.64/2.22 % (3768234)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.64/2.22 % (3768234)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.64/2.22 % (3768234)CaDiCaL version: 2.1.3
% 9.64/2.22 % (3768234)Termination reason: Instruction limit
% 9.64/2.22 % (3768234)Termination phase: Saturation
% 9.64/2.22 % (3768234)Time elapsed: 0.075 s
% 9.64/2.22 % (3768234)Peak memory usage: 88 MB
% 9.64/2.22 % (3768234)Instructions burned: 120 (million)
% 9.64/2.22 % (3768236)Instruction limit reached!
% 9.64/2.22 % (3768236)------------------------------
% 9.64/2.22 % (3768236)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.64/2.22 % (3768236)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.64/2.22 % (3768236)CaDiCaL version: 2.1.3
% 9.64/2.22 % (3768236)Termination reason: Instruction limit
% 9.64/2.22 % (3768236)Termination phase: Saturation
% 9.64/2.22 % (3768236)Time elapsed: 0.078 s
% 9.64/2.22 % (3768236)Peak memory usage: 89 MB
% 9.64/2.22 % (3768236)Instructions burned: 130 (million)
% 9.64/2.22 % (3768235)Instruction limit reached!
% 9.64/2.22 % (3768235)------------------------------
% 9.64/2.22 % (3768235)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.64/2.22 % (3768235)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.64/2.22 % (3768235)CaDiCaL version: 2.1.3
% 9.64/2.22 % (3768235)Termination reason: Instruction limit
% 9.64/2.22 % (3768235)Termination phase: Saturation
% 9.64/2.22 % (3768235)Time elapsed: 0.097 s
% 9.64/2.22 % (3768235)Peak memory usage: 89 MB
% 9.64/2.22 % (3768235)Instructions burned: 140 (million)
% 9.64/2.22 % (3768245)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2721435600:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 9.64/2.22 % (3768244)lrs+10_1_sil=8000:sp=occurrence:random_seed=3016586064:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 9.64/2.22 % (3768246)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1295456382:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 9.64/2.22 % (3768246)Refutation not found, incomplete strategy
% 9.64/2.22 % (3768246)------------------------------
% 9.64/2.22 % (3768246)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.64/2.22 % (3768246)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.73/3.07 % (3768246)CaDiCaL version: 2.1.3
% 15.73/3.07 % (3768246)Termination reason: Refutation not found, incomplete strategy
% 15.73/3.07 % (3768246)Time elapsed: 0.002 s
% 15.73/3.07 % (3768246)Peak memory usage: 88 MB
% 15.73/3.07 % (3768246)Instructions burned: 1 (million)
% 15.73/3.07 % (3768233)------------------------------
% 15.73/3.07 % (3768233)------------------------------
% 15.73/3.07 % (3768245)Instruction limit reached!
% 15.73/3.07 % (3768245)------------------------------
% 15.73/3.07 % (3768245)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.73/3.07 % (3768245)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.73/3.07 % (3768245)CaDiCaL version: 2.1.3
% 15.73/3.07 % (3768245)Termination reason: Instruction limit
% 15.73/3.07 % (3768245)Termination phase: Saturation
% 15.73/3.07 % (3768245)Time elapsed: 0.076 s
% 15.73/3.07 % (3768245)Peak memory usage: 90 MB
% 15.73/3.07 % (3768245)Instructions burned: 159 (million)
% 15.73/3.07 % (3768244)Instruction limit reached!
% 15.73/3.07 % (3768244)------------------------------
% 15.73/3.07 % (3768244)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.73/3.07 % (3768244)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.73/3.07 % (3768244)CaDiCaL version: 2.1.3
% 15.73/3.07 % (3768244)Termination reason: Instruction limit
% 15.73/3.07 % (3768244)Termination phase: Saturation
% 15.73/3.07 % (3768244)Time elapsed: 0.183 s
% 15.73/3.07 % (3768244)Peak memory usage: 91 MB
% 15.73/3.07 % (3768244)Instructions burned: 285 (million)
% 15.73/3.07 % (3768250)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=3049048871:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 15.73/3.07 % (3768251)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3015902899:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 15.73/3.07 % (3768251)Refutation not found, incomplete strategy
% 15.73/3.07 % (3768251)------------------------------
% 15.73/3.07 % (3768251)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.73/3.07 % (3768251)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.73/3.07 % (3768251)CaDiCaL version: 2.1.3
% 15.73/3.07 % (3768251)Termination reason: Refutation not found, incomplete strategy
% 15.73/3.07 % (3768251)Time elapsed: 0.001 s
% 15.73/3.07 % (3768251)Peak memory usage: 88 MB
% 15.73/3.07 % (3768251)Instructions burned: 1 (million)
% 15.73/3.07 % (3768246)------------------------------
% 15.73/3.07 % (3768246)------------------------------
% 15.73/3.07 % (3768253)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2326204611:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 15.73/3.07 % (3768250)Instruction limit reached!
% 15.73/3.07 % (3768250)------------------------------
% 15.73/3.07 % (3768250)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.73/3.07 % (3768250)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.73/3.07 % (3768250)CaDiCaL version: 2.1.3
% 15.73/3.07 % (3768250)Termination reason: Instruction limit
% 15.73/3.07 % (3768250)Termination phase: Saturation
% 15.73/3.07 % (3768250)Time elapsed: 0.140 s
% 15.73/3.07 % (3768250)Peak memory usage: 92 MB
% 15.73/3.07 % (3768250)Instructions burned: 248 (million)
% 15.73/3.07 % (3768232)Refutation not found, incomplete strategy
% 15.73/3.07 % (3768232)------------------------------
% 15.73/3.07 % (3768232)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.73/3.07 % (3768232)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.73/3.07 % (3768232)CaDiCaL version: 2.1.3
% 15.73/3.07 % (3768232)Termination reason: Refutation not found, incomplete strategy
% 15.73/3.07 % (3768232)Time elapsed: 0.555 s
% 15.73/3.07 % (3768232)Peak memory usage: 126 MB
% 15.73/3.07 % (3768232)Instructions burned: 829 (million)
% 15.73/3.07 % (3768255)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1225099186:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 15.73/3.07 % (3768251)------------------------------
% 15.73/3.07 % (3768251)------------------------------
% 15.73/3.07 % (3768255)Instruction limit reached!
% 15.73/3.07 % (3768255)------------------------------
% 15.73/3.07 % (3768255)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.73/3.07 % (3768255)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.73/3.07 % (3768255)CaDiCaL version: 2.1.3
% 15.73/3.07 % (3768255)Termination reason: Instruction limit
% 29.96/5.09 % (3768255)Termination phase: Saturation
% 29.96/5.09 % (3768255)Time elapsed: 0.074 s
% 29.96/5.09 % (3768255)Peak memory usage: 89 MB
% 29.96/5.09 % (3768255)Instructions burned: 114 (million)
% 29.96/5.09 % (3768257)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=673893393:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 29.96/5.09 % (3768257)Instruction limit reached!
% 29.96/5.09 % (3768257)------------------------------
% 29.96/5.09 % (3768257)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.96/5.09 % (3768257)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.96/5.09 % (3768257)CaDiCaL version: 2.1.3
% 29.96/5.09 % (3768257)Termination reason: Instruction limit
% 29.96/5.09 % (3768257)Termination phase: Saturation
% 29.96/5.09 % (3768257)Time elapsed: 0.062 s
% 29.96/5.09 % (3768257)Peak memory usage: 89 MB
% 29.96/5.09 % (3768257)Instructions burned: 127 (million)
% 29.96/5.09 % (3768259)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3496489406:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 29.96/5.09 % (3768261)lrs+10_1_sil=8000:sp=occurrence:random_seed=1574083558:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 29.96/5.09 % (3768232)------------------------------
% 29.96/5.09 % (3768232)------------------------------
% 29.96/5.09 % (3768259)Instruction limit reached!
% 29.96/5.09 % (3768259)------------------------------
% 29.96/5.09 % (3768259)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.96/5.09 % (3768259)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.96/5.09 % (3768259)CaDiCaL version: 2.1.3
% 29.96/5.09 % (3768259)Termination reason: Instruction limit
% 29.96/5.09 % (3768259)Termination phase: Saturation
% 29.96/5.09 % (3768259)Time elapsed: 0.070 s
% 29.96/5.09 % (3768259)Peak memory usage: 89 MB
% 29.96/5.09 % (3768259)Instructions burned: 114 (million)
% 29.96/5.09 % (3768262)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=112101773:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 29.96/5.09 % (3768262)Refutation not found, incomplete strategy
% 29.96/5.09 % (3768262)------------------------------
% 29.96/5.09 % (3768262)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.96/5.09 % (3768262)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.96/5.09 % (3768262)CaDiCaL version: 2.1.3
% 29.96/5.09 % (3768262)Termination reason: Refutation not found, incomplete strategy
% 29.96/5.09 % (3768262)Time elapsed: 0.001 s
% 29.96/5.09 % (3768262)Peak memory usage: 88 MB
% 29.96/5.09 % (3768265)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1473001608:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 29.96/5.09 % (3768266)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=4114593561:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2990 on theBenchmark for (2990ds/134Mi)
% 29.96/5.09 % (3768266)Instruction limit reached!
% 29.96/5.09 % (3768266)------------------------------
% 29.96/5.09 % (3768266)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.96/5.09 % (3768266)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.96/5.09 % (3768266)CaDiCaL version: 2.1.3
% 29.96/5.09 % (3768266)Termination reason: Instruction limit
% 29.96/5.09 % (3768266)Termination phase: Saturation
% 29.96/5.09 % (3768266)Time elapsed: 0.071 s
% 29.96/5.09 % (3768266)Peak memory usage: 90 MB
% 29.96/5.09 % (3768266)Instructions burned: 135 (million)
% 29.96/5.09 % (3768262)------------------------------
% 29.96/5.09 % (3768262)------------------------------
% 29.96/5.09 % (3768270)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1896259114:st=8:i=592:sd=3:ep=RST:ss=axioms_2988 on theBenchmark for (2988ds/592Mi)
% 29.96/5.09 % (3768270)Refutation not found, incomplete strategy
% 29.96/5.09 % (3768270)------------------------------
% 29.96/5.09 % (3768270)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.96/5.09 % (3768270)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.96/5.09 % (3768270)CaDiCaL version: 2.1.3
% 29.96/5.09 % (3768270)Termination reason: Refutation not found, incomplete strategy
% 29.96/5.09 % (3768270)Time elapsed: 0.002 s
% 29.96/5.09 % (3768270)Peak memory usage: 88 MB
% 29.96/5.09 % (3768270)Instructions burned: 1 (million)
% 29.96/5.09 % (3768271)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1988407002:st=3:i=13193:sd=3:ss=axioms_2987 on theBenchmark for (2987ds/13193Mi)
% 34.70/5.86 % (3768261)Instruction limit reached!
% 34.70/5.86 % (3768261)------------------------------
% 34.70/5.86 % (3768261)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.70/5.86 % (3768261)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.70/5.86 % (3768261)CaDiCaL version: 2.1.3
% 34.70/5.86 % (3768261)Termination reason: Instruction limit
% 34.70/5.86 % (3768261)Termination phase: Saturation
% 34.70/5.86 % (3768261)Time elapsed: 0.578 s
% 34.70/5.86 % (3768261)Peak memory usage: 97 MB
% 34.70/5.86 % (3768261)Instructions burned: 907 (million)
% 34.70/5.86 % (3768270)------------------------------
% 34.70/5.86 % (3768270)------------------------------
% 34.70/5.86 % (3768274)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=1454022672:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2984 on theBenchmark for (2984ds/125Mi)
% 34.70/5.86 % (3768275)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=2675235124:i=134:gtgl=5:slsql=off:gtg=exists_sym_2984 on theBenchmark for (2984ds/134Mi)
% 34.70/5.86 % (3768274)Instruction limit reached!
% 34.70/5.86 % (3768274)------------------------------
% 34.70/5.86 % (3768274)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.70/5.86 % (3768274)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.70/5.86 % (3768274)CaDiCaL version: 2.1.3
% 34.70/5.86 % (3768274)Termination reason: Instruction limit
% 34.70/5.86 % (3768274)Termination phase: Saturation
% 34.70/5.86 % (3768274)Time elapsed: 0.077 s
% 34.70/5.86 % (3768274)Peak memory usage: 90 MB
% 34.70/5.86 % (3768274)Instructions burned: 125 (million)
% 34.70/5.86 % (3768275)Instruction limit reached!
% 34.70/5.86 % (3768275)------------------------------
% 34.70/5.86 % (3768275)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.70/5.86 % (3768275)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.70/5.86 % (3768275)CaDiCaL version: 2.1.3
% 34.70/5.86 % (3768275)Termination reason: Instruction limit
% 34.70/5.86 % (3768275)Termination phase: Saturation
% 34.70/5.86 % (3768275)Time elapsed: 0.076 s
% 34.70/5.86 % (3768275)Peak memory usage: 90 MB
% 34.70/5.86 % (3768275)Instructions burned: 134 (million)
% 34.70/5.86 % (3768278)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=1020109693:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2982 on theBenchmark for (2982ds/141Mi)
% 34.70/5.86 % (3768278)Refutation not found, incomplete strategy
% 34.70/5.86 % (3768278)------------------------------
% 34.70/5.86 % (3768278)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.70/5.86 % (3768278)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.70/5.86 % (3768278)CaDiCaL version: 2.1.3
% 34.70/5.86 % (3768278)Termination reason: Refutation not found, incomplete strategy
% 34.70/5.86 % (3768278)Time elapsed: 0.001 s
% 34.70/5.86 % (3768278)Peak memory usage: 88 MB
% 34.70/5.86 % (3768279)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=1114004268:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2982 on theBenchmark for (2982ds/431Mi)
% 34.70/5.86 % (3768279)Refutation not found, incomplete strategy
% 34.70/5.86 % (3768279)------------------------------
% 34.70/5.86 % (3768279)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.70/5.86 % (3768279)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.70/5.86 % (3768279)CaDiCaL version: 2.1.3
% 34.70/5.86 % (3768279)Termination reason: Refutation not found, incomplete strategy
% 34.70/5.86 % (3768279)Time elapsed: 0.001 s
% 34.70/5.86 % (3768279)Peak memory usage: 88 MB
% 34.70/5.86 % (3768278)------------------------------
% 34.70/5.86 % (3768278)------------------------------
% 34.70/5.86 % (3768279)------------------------------
% 34.70/5.86 % (3768279)------------------------------
% 34.70/5.86 % (3768282)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=3221323605:i=6060:aac=none:ins=25_2979 on theBenchmark for (2979ds/6060Mi)
% 34.70/5.86 % (3768253)Instruction limit reached!
% 34.70/5.86 % (3768253)------------------------------
% 34.70/5.86 % (3768253)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.70/5.86 % (3768253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.70/5.86 % (3768253)CaDiCaL version: 2.1.3
% 34.70/5.86 % (3768253)Termination reason: Instruction limit
% 34.70/5.86 % (3768253)Termination phase: Saturation
% 34.70/5.86 % (3768253)Time elapsed: 1.554 s
% 34.70/5.86 % (3768253)Peak memory usage: 142 MB
% 34.70/5.86 % (3768253)Instructions burned: 2350 (million)
% 34.70/5.86 % (3768283)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=2579774558:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2978 on theBenchmark for (2978ds/150Mi)
% 34.70/5.86 % (3768285)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=3317544475:i=14155:bd=all_2977 on theBenchmark for (2977ds/14155Mi)
% 34.70/5.86 % (3768283)Instruction limit reached!
% 34.70/5.86 % (3768283)------------------------------
% 34.70/5.86 % (3768283)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.70/5.86 % (3768283)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.70/5.86 % (3768283)CaDiCaL version: 2.1.3
% 34.70/5.86 % (3768283)Termination reason: Instruction limit
% 34.70/5.86 % (3768283)Termination phase: Saturation
% 34.70/5.86 % (3768283)Time elapsed: 0.089 s
% 34.70/5.86 % (3768283)Peak memory usage: 91 MB
% 34.70/5.86 % (3768283)Instructions burned: 151 (million)
% 34.70/5.86 % (3768288)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=1780144281:i=667:av=off:fsr=off_2976 on theBenchmark for (2976ds/667Mi)
% 34.70/5.86 % (3768288)Refutation not found, incomplete strategy
% 34.70/5.86 % (3768288)------------------------------
% 34.70/5.86 % (3768288)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.70/5.86 % (3768288)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.70/5.86 % (3768288)CaDiCaL version: 2.1.3
% 34.70/5.86 % (3768288)Termination reason: Refutation not found, incomplete strategy
% 34.70/5.86 % (3768288)Time elapsed: 0.001 s
% 34.70/5.86 % (3768288)Peak memory usage: 88 MB
% 34.70/5.86 % (3768288)Instructions burned: 1 (million)
% 34.70/5.86 % (3768288)------------------------------
% 34.70/5.86 % (3768288)------------------------------
% 34.70/5.86 % (3768290)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=2889771667:s2a=on:i=185:s2at=1.8:fdi=4_2972 on theBenchmark for (2972ds/185Mi)
% 34.70/5.86 % (3768290)Instruction limit reached!
% 34.70/5.86 % (3768290)------------------------------
% 34.70/5.86 % (3768290)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.70/5.86 % (3768290)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.70/5.86 % (3768290)CaDiCaL version: 2.1.3
% 34.70/5.86 % (3768290)Termination reason: Instruction limit
% 34.70/5.86 % (3768290)Termination phase: Saturation
% 34.70/5.86 % (3768290)Time elapsed: 0.100 s
% 34.70/5.86 % (3768290)Peak memory usage: 91 MB
% 34.70/5.86 % (3768290)Instructions burned: 185 (million)
% 34.70/5.86 % (3768292)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=2659588716:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2970 on theBenchmark for (2970ds/193Mi)
% 34.70/5.86 % (3768292)Instruction limit reached!
% 34.70/5.86 % (3768292)------------------------------
% 34.70/5.86 % (3768292)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.70/5.86 % (3768292)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.70/5.86 % (3768292)CaDiCaL version: 2.1.3
% 34.70/5.86 % (3768292)Termination reason: Instruction limit
% 34.70/5.86 % (3768292)Termination phase: Saturation
% 34.70/5.86 % (3768292)Time elapsed: 0.128 s
% 34.70/5.86 % (3768292)Peak memory usage: 92 MB
% 34.70/5.86 % (3768292)Instructions burned: 193 (million)
% 34.70/5.86 % (3768294)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=861117520:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2967 on theBenchmark for (2967ds/4850Mi)
% 34.70/5.86 % (3768265)Instruction limit reached!
% 34.70/5.86 % (3768265)------------------------------
% 34.70/5.86 % (3768265)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.70/5.86 % (3768265)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.70/5.86 % (3768265)CaDiCaL version: 2.1.3
% 34.70/5.86 % (3768265)Termination reason: Instruction limit
% 34.70/5.86 % (3768265)Termination phase: Saturation
% 34.70/5.86 % (3768265)Time elapsed: 3.143 s
% 34.70/5.86 % (3768265)Peak memory usage: 167 MB
% 34.70/5.86 % (3768265)Instructions burned: 5202 (million)
% 34.70/5.86 % (3768296)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=2200630034:i=12111:sd=1:ss=included_2957 on theBenchmark for (2957ds/12111Mi)
% 34.70/5.86 % (3768285)First to succeed.
% 34.70/5.86 % (3768285)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3768225"
% 34.70/5.86 % (3768285)Refutation found. Thanks to Tanya!
% 34.70/5.86 % SZS status Theorem for theBenchmark
% 34.70/5.86 % SZS output start Proof for theBenchmark
% See solution above
% 36.03/6.06 % (3768285)------------------------------
% 36.03/6.06 % (3768285)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.03/6.06 % (3768285)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.03/6.06 % (3768285)CaDiCaL version: 2.1.3
% 36.03/6.06 % (3768285)Termination reason: Refutation
% 36.03/6.06 % (3768285)Time elapsed: 2.382 s
% 36.03/6.06 % (3768285)Peak memory usage: 153 MB
% 36.03/6.06 % (3768285)Instructions burned: 3910 (million)
% 36.03/6.06 % (3768285)------------------------------
% 36.03/6.06 % (3768285)------------------------------
% 36.03/6.06 % (3768225)Success in time 5.001 s
% 36.03/6.06 % Vampire exiting
%------------------------------------------------------------------------------